{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Setup"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true,
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
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       "  <thead>\n",
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       "      <th></th>\n",
       "      <th>url</th>\n",
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       "                                                                                        url  \\\n",
       "id                                                                                            \n",
       "df8cf9e5ed31a1bfb34c9b73d9e5bce5ab98b439  https://www.economist.com/news/europe/21729855...   \n",
       "ff73a23349976db8c3e5ae3d4a64242b156f14a7  https://www.washingtonpost.com/sports/colleges...   \n",
       "107efa77273acbbe8fd60c139306e7fcd09fdd98  https://www.nytimes.com/2017/09/30/sports/base...   \n",
       "5c4db3ff5ac83175ba202cb9327d7e7b52f79f46  https://www.washingtonpost.com/sports/colleges...   \n",
       "faa6a6d39f269bf6a40af0f52f02a41cb5b38601  https://www.washingtonpost.com/sports/mystics/...   \n",
       "\n",
       "                                                                                   headline  \\\n",
       "id                                                                                            \n",
       "df8cf9e5ed31a1bfb34c9b73d9e5bce5ab98b439  An unconstitutional vote on independence turns...   \n",
       "ff73a23349976db8c3e5ae3d4a64242b156f14a7  Rourke leads Ohio to shootout win over Massach...   \n",
       "107efa77273acbbe8fd60c139306e7fcd09fdd98  Luis Severino and the Yankees Are Straddling a...   \n",
       "5c4db3ff5ac83175ba202cb9327d7e7b52f79f46  Kentucky rebounds to outlast Eastern Michigan ...   \n",
       "faa6a6d39f269bf6a40af0f52f02a41cb5b38601   USA Basketball hosts a Women in the Game seminar   \n",
       "\n",
       "                                                      discovered  \\\n",
       "id                                                                 \n",
       "df8cf9e5ed31a1bfb34c9b73d9e5bce5ab98b439 2017-10-01 16:09:23.688   \n",
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       "107efa77273acbbe8fd60c139306e7fcd09fdd98 2017-10-01 00:01:10.412   \n",
       "5c4db3ff5ac83175ba202cb9327d7e7b52f79f46 2017-10-01 00:07:22.846   \n",
       "faa6a6d39f269bf6a40af0f52f02a41cb5b38601 2017-10-01 00:07:22.215   \n",
       "\n",
       "                                                   published  fb_engagements  \\\n",
       "id                                                                             \n",
       "df8cf9e5ed31a1bfb34c9b73d9e5bce5ab98b439 2017-10-01 00:00:00             125   \n",
       "ff73a23349976db8c3e5ae3d4a64242b156f14a7 2017-10-01 00:00:07               0   \n",
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       "5c4db3ff5ac83175ba202cb9327d7e7b52f79f46 2017-10-01 00:00:30               0   \n",
       "faa6a6d39f269bf6a40af0f52f02a41cb5b38601 2017-10-01 00:01:13               0   \n",
       "\n",
       "                                          fb_max_engagements_per_min  \\\n",
       "id                                                                     \n",
       "df8cf9e5ed31a1bfb34c9b73d9e5bce5ab98b439                    0.508058   \n",
       "ff73a23349976db8c3e5ae3d4a64242b156f14a7                    0.000000   \n",
       "107efa77273acbbe8fd60c139306e7fcd09fdd98                    0.459418   \n",
       "5c4db3ff5ac83175ba202cb9327d7e7b52f79f46                    0.000000   \n",
       "faa6a6d39f269bf6a40af0f52f02a41cb5b38601                    0.000000   \n",
       "\n",
       "                                         fb_max_engagements_per_min_time  \\\n",
       "id                                                                         \n",
       "df8cf9e5ed31a1bfb34c9b73d9e5bce5ab98b439        2017-10-01T21:22:11.563Z   \n",
       "ff73a23349976db8c3e5ae3d4a64242b156f14a7        2017-10-01T06:23:10.290Z   \n",
       "107efa77273acbbe8fd60c139306e7fcd09fdd98        2017-10-01T00:13:03.108Z   \n",
       "5c4db3ff5ac83175ba202cb9327d7e7b52f79f46        2017-10-01T06:23:10.293Z   \n",
       "faa6a6d39f269bf6a40af0f52f02a41cb5b38601        2017-10-01T06:23:10.291Z   \n",
       "\n",
       "                                          fb_comments  fb_reactions  \\\n",
       "id                                                                    \n",
       "df8cf9e5ed31a1bfb34c9b73d9e5bce5ab98b439            6            63   \n",
       "ff73a23349976db8c3e5ae3d4a64242b156f14a7            0             0   \n",
       "107efa77273acbbe8fd60c139306e7fcd09fdd98            5             4   \n",
       "5c4db3ff5ac83175ba202cb9327d7e7b52f79f46            0             0   \n",
       "faa6a6d39f269bf6a40af0f52f02a41cb5b38601            0             0   \n",
       "\n",
       "                                          fb_shares       publisher_name  \\\n",
       "id                                                                         \n",
       "df8cf9e5ed31a1bfb34c9b73d9e5bce5ab98b439         56        The Economist   \n",
       "ff73a23349976db8c3e5ae3d4a64242b156f14a7          0  The Washington Post   \n",
       "107efa77273acbbe8fd60c139306e7fcd09fdd98         29       New York Times   \n",
       "5c4db3ff5ac83175ba202cb9327d7e7b52f79f46          0  The Washington Post   \n",
       "faa6a6d39f269bf6a40af0f52f02a41cb5b38601          0  The Washington Post   \n",
       "\n",
       "                                                publisher_id  mins_as_lead  \\\n",
       "id                                                                           \n",
       "df8cf9e5ed31a1bfb34c9b73d9e5bce5ab98b439       economist_com          1299   \n",
       "ff73a23349976db8c3e5ae3d4a64242b156f14a7  washingtonpost_com             0   \n",
       "107efa77273acbbe8fd60c139306e7fcd09fdd98         nytimes_com             0   \n",
       "5c4db3ff5ac83175ba202cb9327d7e7b52f79f46  washingtonpost_com             0   \n",
       "faa6a6d39f269bf6a40af0f52f02a41cb5b38601  washingtonpost_com             0   \n",
       "\n",
       "                                          mins_on_front  \\\n",
       "id                                                        \n",
       "df8cf9e5ed31a1bfb34c9b73d9e5bce5ab98b439          10322   \n",
       "ff73a23349976db8c3e5ae3d4a64242b156f14a7              0   \n",
       "107efa77273acbbe8fd60c139306e7fcd09fdd98            780   \n",
       "5c4db3ff5ac83175ba202cb9327d7e7b52f79f46              0   \n",
       "faa6a6d39f269bf6a40af0f52f02a41cb5b38601              0   \n",
       "\n",
       "                                          num_articles_on_front  \\\n",
       "id                                                                \n",
       "df8cf9e5ed31a1bfb34c9b73d9e5bce5ab98b439                   35.0   \n",
       "ff73a23349976db8c3e5ae3d4a64242b156f14a7                    NaN   \n",
       "107efa77273acbbe8fd60c139306e7fcd09fdd98                  125.0   \n",
       "5c4db3ff5ac83175ba202cb9327d7e7b52f79f46                    NaN   \n",
       "faa6a6d39f269bf6a40af0f52f02a41cb5b38601                    NaN   \n",
       "\n",
       "                                          fb_brand_page  fb_brand_page_likes  \\\n",
       "id                                                                             \n",
       "df8cf9e5ed31a1bfb34c9b73d9e5bce5ab98b439           True            8312258.0   \n",
       "ff73a23349976db8c3e5ae3d4a64242b156f14a7          False                  NaN   \n",
       "107efa77273acbbe8fd60c139306e7fcd09fdd98          False                  NaN   \n",
       "5c4db3ff5ac83175ba202cb9327d7e7b52f79f46          False                  NaN   \n",
       "faa6a6d39f269bf6a40af0f52f02a41cb5b38601          False                  NaN   \n",
       "\n",
       "                                                fb_brand_page_time  alexa_rank  \n",
       "id                                                                              \n",
       "df8cf9e5ed31a1bfb34c9b73d9e5bce5ab98b439  2017-10-02T17:09:04.000Z        1825  \n",
       "ff73a23349976db8c3e5ae3d4a64242b156f14a7                       NaN         191  \n",
       "107efa77273acbbe8fd60c139306e7fcd09fdd98                       NaN         120  \n",
       "5c4db3ff5ac83175ba202cb9327d7e7b52f79f46                       NaN         191  \n",
       "faa6a6d39f269bf6a40af0f52f02a41cb5b38601                       NaN         191  "
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data = pd.read_csv(\"articles_2017-10-01_2017-10-31.csv\", index_col=\"id\", \\\n",
    "                   parse_dates=[\"published\", \"discovered\"])\n",
    "data.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Response Score"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The response score is a number between 0 and 50 that indicates the level of response to an article.\n",
    "\n",
    "\n",
    "\n",
    "Perhaps in the future we may choose to include other factors, but for now we just include engagements on Facebook. The maximum score of 50 should be achieved by an article that does really well compared with others."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count    158885.00\n",
       "mean       1290.91\n",
       "std        9886.87\n",
       "min           0.00\n",
       "50%          26.00\n",
       "75%         263.00\n",
       "90%        1656.00\n",
       "95%        4629.00\n",
       "99%       24130.32\n",
       "99.5%     40363.06\n",
       "99.9%    106861.46\n",
       "max     1680741.00\n",
       "Name: fb_engagements, dtype: float64"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pd.options.display.float_format = '{:.2f}'.format\n",
    "data.fb_engagements.describe([0.5, 0.75, 0.9, 0.95, 0.99, 0.995, 0.999])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There's a few articles there with 1 million plus engagements, let's just double check that."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
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       "      <th></th>\n",
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       "      <th>3d58d5fdd5b5649ac1e92f4853a80fe7d2b244d3</th>\n",
       "      <td>http://www.foxnews.com/entertainment/2017/10/0...</td>\n",
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       "      <td>2017-10-02T20:33:04.125Z</td>\n",
       "      <td>469349</td>\n",
       "      <td>1031278</td>\n",
       "      <td>180114</td>\n",
       "      <td>Fox News</td>\n",
       "      <td>foxnews_com</td>\n",
       "      <td>0</td>\n",
       "      <td>2601</td>\n",
       "      <td>174.00</td>\n",
       "      <td>True</td>\n",
       "      <td>15888170.00</td>\n",
       "      <td>2017-10-02T20:15:01.000Z</td>\n",
       "      <td>285</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                                                                        url  \\\n",
       "id                                                                                            \n",
       "3d58d5fdd5b5649ac1e92f4853a80fe7d2b244d3  http://www.foxnews.com/entertainment/2017/10/0...   \n",
       "\n",
       "                                                                                   headline  \\\n",
       "id                                                                                            \n",
       "3d58d5fdd5b5649ac1e92f4853a80fe7d2b244d3  Top CBS lawyer: No sympathy for Vegas vics, 'p...   \n",
       "\n",
       "                                                      discovered  \\\n",
       "id                                                                 \n",
       "3d58d5fdd5b5649ac1e92f4853a80fe7d2b244d3 2017-10-02 16:54:13.613   \n",
       "\n",
       "                                                   published  fb_engagements  \\\n",
       "id                                                                             \n",
       "3d58d5fdd5b5649ac1e92f4853a80fe7d2b244d3 2017-10-02 16:48:32         1680741   \n",
       "\n",
       "                                          fb_max_engagements_per_min  \\\n",
       "id                                                                     \n",
       "3d58d5fdd5b5649ac1e92f4853a80fe7d2b244d3                     3545.41   \n",
       "\n",
       "                                         fb_max_engagements_per_min_time  \\\n",
       "id                                                                         \n",
       "3d58d5fdd5b5649ac1e92f4853a80fe7d2b244d3        2017-10-02T20:33:04.125Z   \n",
       "\n",
       "                                          fb_comments  fb_reactions  \\\n",
       "id                                                                    \n",
       "3d58d5fdd5b5649ac1e92f4853a80fe7d2b244d3       469349       1031278   \n",
       "\n",
       "                                          fb_shares publisher_name  \\\n",
       "id                                                                   \n",
       "3d58d5fdd5b5649ac1e92f4853a80fe7d2b244d3     180114       Fox News   \n",
       "\n",
       "                                         publisher_id  mins_as_lead  \\\n",
       "id                                                                    \n",
       "3d58d5fdd5b5649ac1e92f4853a80fe7d2b244d3  foxnews_com             0   \n",
       "\n",
       "                                          mins_on_front  \\\n",
       "id                                                        \n",
       "3d58d5fdd5b5649ac1e92f4853a80fe7d2b244d3           2601   \n",
       "\n",
       "                                          num_articles_on_front  \\\n",
       "id                                                                \n",
       "3d58d5fdd5b5649ac1e92f4853a80fe7d2b244d3                 174.00   \n",
       "\n",
       "                                          fb_brand_page  fb_brand_page_likes  \\\n",
       "id                                                                             \n",
       "3d58d5fdd5b5649ac1e92f4853a80fe7d2b244d3           True          15888170.00   \n",
       "\n",
       "                                                fb_brand_page_time  alexa_rank  \n",
       "id                                                                              \n",
       "3d58d5fdd5b5649ac1e92f4853a80fe7d2b244d3  2017-10-02T20:15:01.000Z         285  "
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data[data.fb_engagements > 1000000]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0    0\n",
       "dtype: int64"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.fb_engagements.mode()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Going back to the enagement counts, we see the mean is 1,290, mode is zero, median is 26, 90th percentile is 1,656, 99th percentile is 24,130, 99.5th percentile is 40,363. The standard deviation is 9,886, significantly higher than the mean, so this is not a normal distribution. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Key publishers stats"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr>\n",
       "      <th></th>\n",
       "      <th>url</th>\n",
       "      <th colspan=\"3\" halign=\"left\">fb_engagements</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th></th>\n",
       "      <th>count</th>\n",
       "      <th>sum</th>\n",
       "      <th>median</th>\n",
       "      <th>mean</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>publisher_id</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>anotherangryvoice_blogspot_co_uk</th>\n",
       "      <td>38</td>\n",
       "      <td>72806</td>\n",
       "      <td>1434.50</td>\n",
       "      <td>1915.95</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>bbc_co_uk</th>\n",
       "      <td>11973</td>\n",
       "      <td>10440781</td>\n",
       "      <td>40.00</td>\n",
       "      <td>872.03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>breitbart_com</th>\n",
       "      <td>2707</td>\n",
       "      <td>13276781</td>\n",
       "      <td>372.00</td>\n",
       "      <td>4904.61</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>brexitcentral_com</th>\n",
       "      <td>53</td>\n",
       "      <td>39843</td>\n",
       "      <td>271.00</td>\n",
       "      <td>751.75</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>buzzfeed_com</th>\n",
       "      <td>2010</td>\n",
       "      <td>6444963</td>\n",
       "      <td>153.50</td>\n",
       "      <td>3206.45</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>cnn_com</th>\n",
       "      <td>3521</td>\n",
       "      <td>19965843</td>\n",
       "      <td>639.00</td>\n",
       "      <td>5670.50</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>dailymail_co_uk</th>\n",
       "      <td>24900</td>\n",
       "      <td>18894463</td>\n",
       "      <td>26.00</td>\n",
       "      <td>758.81</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>economist_com</th>\n",
       "      <td>517</td>\n",
       "      <td>183881</td>\n",
       "      <td>49.00</td>\n",
       "      <td>355.67</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>evolvepolitics_com</th>\n",
       "      <td>74</td>\n",
       "      <td>226865</td>\n",
       "      <td>1288.00</td>\n",
       "      <td>3065.74</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>foxnews_com</th>\n",
       "      <td>6844</td>\n",
       "      <td>23214169</td>\n",
       "      <td>42.00</td>\n",
       "      <td>3391.90</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ft_com</th>\n",
       "      <td>3792</td>\n",
       "      <td>330615</td>\n",
       "      <td>6.00</td>\n",
       "      <td>87.19</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>huffingtonpost_com</th>\n",
       "      <td>11213</td>\n",
       "      <td>16768347</td>\n",
       "      <td>8.00</td>\n",
       "      <td>1495.44</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>independent_co_uk</th>\n",
       "      <td>6578</td>\n",
       "      <td>10132679</td>\n",
       "      <td>42.00</td>\n",
       "      <td>1540.39</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>indy100_com</th>\n",
       "      <td>512</td>\n",
       "      <td>463823</td>\n",
       "      <td>127.00</td>\n",
       "      <td>905.90</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>lemonde_fr</th>\n",
       "      <td>3918</td>\n",
       "      <td>2323126</td>\n",
       "      <td>88.00</td>\n",
       "      <td>592.94</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>libdemvoice_org</th>\n",
       "      <td>177</td>\n",
       "      <td>1880</td>\n",
       "      <td>6.00</td>\n",
       "      <td>10.62</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mirror_co_uk</th>\n",
       "      <td>10525</td>\n",
       "      <td>7532990</td>\n",
       "      <td>48.00</td>\n",
       "      <td>715.72</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>nbcnews_com</th>\n",
       "      <td>2207</td>\n",
       "      <td>7893296</td>\n",
       "      <td>389.00</td>\n",
       "      <td>3576.48</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>newstatesman_com</th>\n",
       "      <td>567</td>\n",
       "      <td>251219</td>\n",
       "      <td>23.00</td>\n",
       "      <td>443.07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>npr_org</th>\n",
       "      <td>2020</td>\n",
       "      <td>8157583</td>\n",
       "      <td>208.00</td>\n",
       "      <td>4038.41</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>nytimes_com</th>\n",
       "      <td>5185</td>\n",
       "      <td>19339366</td>\n",
       "      <td>200.00</td>\n",
       "      <td>3729.87</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>order-order_com</th>\n",
       "      <td>296</td>\n",
       "      <td>96614</td>\n",
       "      <td>148.00</td>\n",
       "      <td>326.40</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>propublica_org</th>\n",
       "      <td>52</td>\n",
       "      <td>239626</td>\n",
       "      <td>495.00</td>\n",
       "      <td>4608.19</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>reuters_com</th>\n",
       "      <td>6125</td>\n",
       "      <td>1939056</td>\n",
       "      <td>21.00</td>\n",
       "      <td>316.58</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>rt_com</th>\n",
       "      <td>2678</td>\n",
       "      <td>2417004</td>\n",
       "      <td>217.00</td>\n",
       "      <td>902.54</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>skwawkbox_org</th>\n",
       "      <td>127</td>\n",
       "      <td>108501</td>\n",
       "      <td>234.00</td>\n",
       "      <td>854.34</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>telegraph_co_uk</th>\n",
       "      <td>7477</td>\n",
       "      <td>3406193</td>\n",
       "      <td>25.00</td>\n",
       "      <td>455.56</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>thecanary_co</th>\n",
       "      <td>243</td>\n",
       "      <td>348388</td>\n",
       "      <td>806.00</td>\n",
       "      <td>1433.70</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>theguardian_com</th>\n",
       "      <td>8680</td>\n",
       "      <td>11711135</td>\n",
       "      <td>145.00</td>\n",
       "      <td>1349.21</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>thetimes_co_uk</th>\n",
       "      <td>8868</td>\n",
       "      <td>262582</td>\n",
       "      <td>1.00</td>\n",
       "      <td>29.61</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>washingtonpost_com</th>\n",
       "      <td>24227</td>\n",
       "      <td>16152850</td>\n",
       "      <td>0.00</td>\n",
       "      <td>666.73</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>westmonster_com</th>\n",
       "      <td>371</td>\n",
       "      <td>352208</td>\n",
       "      <td>28.00</td>\n",
       "      <td>949.35</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>yournewswire_com</th>\n",
       "      <td>410</td>\n",
       "      <td>2117388</td>\n",
       "      <td>297.00</td>\n",
       "      <td>5164.36</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                    url fb_engagements                \n",
       "                                  count            sum  median    mean\n",
       "publisher_id                                                          \n",
       "anotherangryvoice_blogspot_co_uk     38          72806 1434.50 1915.95\n",
       "bbc_co_uk                         11973       10440781   40.00  872.03\n",
       "breitbart_com                      2707       13276781  372.00 4904.61\n",
       "brexitcentral_com                    53          39843  271.00  751.75\n",
       "buzzfeed_com                       2010        6444963  153.50 3206.45\n",
       "cnn_com                            3521       19965843  639.00 5670.50\n",
       "dailymail_co_uk                   24900       18894463   26.00  758.81\n",
       "economist_com                       517         183881   49.00  355.67\n",
       "evolvepolitics_com                   74         226865 1288.00 3065.74\n",
       "foxnews_com                        6844       23214169   42.00 3391.90\n",
       "ft_com                             3792         330615    6.00   87.19\n",
       "huffingtonpost_com                11213       16768347    8.00 1495.44\n",
       "independent_co_uk                  6578       10132679   42.00 1540.39\n",
       "indy100_com                         512         463823  127.00  905.90\n",
       "lemonde_fr                         3918        2323126   88.00  592.94\n",
       "libdemvoice_org                     177           1880    6.00   10.62\n",
       "mirror_co_uk                      10525        7532990   48.00  715.72\n",
       "nbcnews_com                        2207        7893296  389.00 3576.48\n",
       "newstatesman_com                    567         251219   23.00  443.07\n",
       "npr_org                            2020        8157583  208.00 4038.41\n",
       "nytimes_com                        5185       19339366  200.00 3729.87\n",
       "order-order_com                     296          96614  148.00  326.40\n",
       "propublica_org                       52         239626  495.00 4608.19\n",
       "reuters_com                        6125        1939056   21.00  316.58\n",
       "rt_com                             2678        2417004  217.00  902.54\n",
       "skwawkbox_org                       127         108501  234.00  854.34\n",
       "telegraph_co_uk                    7477        3406193   25.00  455.56\n",
       "thecanary_co                        243         348388  806.00 1433.70\n",
       "theguardian_com                    8680       11711135  145.00 1349.21\n",
       "thetimes_co_uk                     8868         262582    1.00   29.61\n",
       "washingtonpost_com                24227       16152850    0.00  666.73\n",
       "westmonster_com                     371         352208   28.00  949.35\n",
       "yournewswire_com                    410        2117388  297.00 5164.36"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.groupby(\"publisher_id\").agg({'url': 'count', 'fb_engagements': ['sum', 'median', 'mean']})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": true,
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "mean = data.fb_engagements.mean()\n",
    "median = data.fb_engagements.median()\n",
    "\n",
    "non_zero_fb_enagagements = data.fb_engagements[data.fb_engagements > 0]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "That's a bit better, but still way too clustered at the low end. Let's look at a log normal distribution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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/Spcukaxe/X/Uq1efV1+dzKJFC6+6/8aNm5KcPI8OHTqSkvIe69at5ciRQ8yZ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\nXGBwBgAAAFxgcAYAAABc+AHg+OSQU8xGFwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x109546550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mean = data.fb_engagements.mean()\n",
    "median = data.fb_engagements.median()\n",
    "ninety = data.fb_engagements.quantile(.90)\n",
    "ninetyfive = data.fb_engagements.quantile(.95)\n",
    "ninetynine = data.fb_engagements.quantile(.99)\n",
    "\n",
    "plt.figure(figsize=(12,4.5))\n",
    "plt.hist(np.log(non_zero_fb_enagagements + median), bins=50)\n",
    "plt.axvline(np.log(mean), linestyle=':', label=f'Mean ({mean:,.0f})', color='green')\n",
    "plt.axvline(np.log(median), label=f'Median ({median:,.0f})', color='green')\n",
    "plt.axvline(np.log(ninety), linestyle='--', label=f'90% percentile ({ninety:,.0f})', color='red')\n",
    "plt.axvline(np.log(ninetyfive), linestyle='-.', label=f'95% percentile ({ninetyfive:,.0f})', color='red')\n",
    "plt.axvline(np.log(ninetynine), linestyle=':', label=f'99% percentile ({ninetynine:,.0f})', color='red')\n",
    "leg = plt.legend()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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FBwe7rym5/UqvvZSQkGry9/cr40utPMLCgqyOgEqgsoyTfU9nWR3BnH3Fry3M4hgmVJbx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\n4oJU7ImIiIiIiLig/wdJjNj02X31sgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1165740f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "eng = data.fb_engagements[(data.fb_engagements < 5000)]\n",
    "mean = data.fb_engagements.mean()\n",
    "median = data.fb_engagements.median()\n",
    "ninety = data.fb_engagements.quantile(.90)\n",
    "ninetyfive = data.fb_engagements.quantile(.95)\n",
    "ninetynine = data.fb_engagements.quantile(.99)\n",
    "\n",
    "plt.figure(figsize=(15,7))\n",
    "plt.hist(eng, bins=50)\n",
    "plt.title(\"Article count by engagements\")\n",
    "plt.axvline(median, label=f'Median ({median:,.0f})', color='green')\n",
    "plt.axvline(mean, linestyle=':', label=f'Mean ({mean:,.0f})', color='green')\n",
    "plt.axvline(ninety, linestyle='--', label=f'90% percentile ({ninety:,.0f})', color='red')\n",
    "plt.axvline(ninetyfive, linestyle='-.', label=f'95% percentile ({ninetyfive:,.0f})', color='red')\n",
    "# plt.axvline(ninetynine, linestyle=':', label=f'99% percentile ({ninetynine:,.0f})', color='red')\n",
    "leg = plt.legend()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count   128733.00\n",
       "mean         5.07\n",
       "std          1.78\n",
       "min          3.30\n",
       "25%          3.58\n",
       "50%          4.48\n",
       "75%          6.13\n",
       "max         11.58\n",
       "Name: fb_engagements, dtype: float64"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "log_engagements = (non_zero_fb_enagagements\n",
    "                   .clip_upper(data.fb_engagements.quantile(.999))\n",
    "                   .apply(lambda x: np.log(x + median))\n",
    "                  )\n",
    "log_engagements.describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Use standard feature scaling to bring that to a 1 to 50 range\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count   128733.00\n",
       "mean        11.18\n",
       "std         10.78\n",
       "min          0.00\n",
       "25%          2.00\n",
       "50%          8.00\n",
       "75%         18.00\n",
       "max         50.00\n",
       "Name: fb_engagements, dtype: float64"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def scale_log_engagements(engagements_logged):\n",
    "    return np.ceil(\n",
    "        50 * (engagements_logged - log_engagements.min()) / (log_engagements.max() - log_engagements.min())\n",
    "    )\n",
    "\n",
    "def scale_engagements(engagements):\n",
    "    return scale_log_engagements(np.log(engagements + median))\n",
    "\n",
    "scaled_non_zero_engagements = scale_log_engagements(log_engagements)\n",
    "scaled_non_zero_engagements.describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# add in the zeros, as zero\n",
    "scaled_engagements = pd.concat([scaled_non_zero_engagements, data.fb_engagements[data.fb_engagements == 0]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x116568710>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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ZkgEX+m1tbXK73YHXTqdT58+fl8s14DYFANDP+nunI9IGXFK63W75fL7Aa7/f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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x117bb3518>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "proposed = pd.DataFrame({\"fb_engagements\": data.fb_engagements, \"response_score\": scaled_engagements})\n",
    "proposed.response_score.plot.hist(bins=50)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Looks good to me, lets save that."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "data[\"response_score\"] = proposed.response_score"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Proposal\n",
    "\n",
    "The maximum of 50 points is awarded when the engagements are greater than the 99.9th percentile, rolling over the last month. \n",
    "\n",
    "i.e. where $limit$ is the 99.5th percentile of engagements calculated over the previous month, the response score for article $a$ is:\n",
    "\n",
    "\\begin{align}\n",
    "basicScore_a & = \n",
    "\\begin{cases} \n",
    "   0 & \\text{if } engagements_a = 0 \\\\\n",
    "   \\log(\\min(engagements_a,limit) + median(engagements))      & \\text{if } engagements_a > 0\n",
    "\\end{cases} \\\\\n",
    "responseScore_a & = \n",
    "\\begin{cases} \n",
    "   0 & \\text{if } engagements_a = 0 \\\\\n",
    "   50 \\cdot \\frac{basicScore_a - \\min(basicScore)}{\\max(basicScore) - \\min(basicScore)}       & \\text{if } engagements_a > 0\n",
    "\\end{cases} \\\\\n",
    "\\\\\n",
    "\\text{The latter equation can be expanded to:} \\\\\n",
    "responseScore_a & = \n",
    "\\begin{cases} \n",
    "   0 & \\text{if } engagements_a = 0 \\\\\n",
    "   50 \\cdot \n",
    "   \\frac{\\log(\\min(engagements_a,limit) + median(engagements)) - \\log(1 + median(engagements))}\n",
    "   {\\log(limit + median(engagements)) - \\log(1 + median(engagements))}       & \\text{if } engagements_a > 0\n",
    "\\end{cases} \\\\\n",
    "\\end{align}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Promotion Score\n",
    "\n",
    "The aim of the promotion score is to indicate how important the article was to the publisher, by tracking where they chose to promote it. This is a number between 0 and 50 comprised of:\n",
    "\n",
    "- 20 points based on whether the article was promoted as the \"lead\" story on the publisher's home page\n",
    "- 15 points based on how long the article was promoted anywhere on the publisher's home page\n",
    "- 15 points based on whether the article was promoted on the publisher's main facebook brand page\n",
    "\n",
    "The first two should be scaled by the popularity/reach of the home page, for which we use the alexa page rank as a proxy.\n",
    "\n",
    "The last should be scaled by the popularity/reach of the brand page, for which we use the number of likes the brand page has."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Lead story (20 points)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count   158885.00\n",
       "mean         9.21\n",
       "std         92.90\n",
       "min          0.00\n",
       "50%          0.00\n",
       "75%          0.00\n",
       "90%          0.00\n",
       "95%          0.00\n",
       "99%        269.00\n",
       "99.5%      584.00\n",
       "99.9%     1199.12\n",
       "max      11563.00\n",
       "Name: mins_as_lead, dtype: float64"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.mins_as_lead.describe([0.5, 0.75, 0.9, 0.95, 0.99, 0.995, 0.999])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As expected, the vast majority of articles don't make it as lead. Let's explore how long typically publishers put something as lead for."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": true,
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "lead_articles = data[data.mins_as_lead > 0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count    4515.00\n",
       "mean      324.11\n",
       "std       449.13\n",
       "min         4.00\n",
       "25%        84.00\n",
       "50%       174.00\n",
       "75%       406.50\n",
       "90%       834.00\n",
       "95%      1074.00\n",
       "99%      1648.30\n",
       "99.5%    2187.97\n",
       "99.9%    5453.86\n",
       "max     11563.00\n",
       "Name: mins_as_lead, dtype: float64"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lead_articles.mins_as_lead.describe([0.25, 0.5, 0.75, 0.9, 0.95, 0.99, 0.995, 0.999])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x111226fd0>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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AWlpalJ2dLUnyeDy68cYb1dbW5urGAACAeyIKgL59++qTTz4JvhnQn//8Z8XHx7u6MQAA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\nAABgIQIAAAALEQAAAFjo/wAsGYE35vstQwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110e41898>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lead_articles.mins_as_lead.plot.hist(bins=50)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For lead, it's a  significant thing for an article to be lead at all, so although we want to penalise articles that were lead for a very short time, mostly we want to score the maximum even if it wasn't lead for ages. So we'll give maximum points when something has been lead for an hour."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x11181e5f8>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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s0Zw5c/TFF1/I5/Np0KBB51wbTGPjyVDuirGSklw6fpwrHIGQUWDkExj5BEdGwXV1Puc7\nWAip3D/88EP/162trXr77bd14MCB865//PHH9c0332j9+vVav369JOn+++/XihUrVFFRoZSUFGVm\nZio2NlZpaWnKzs6Wz+dTcXGxJCk/P19FRUUd1gIAgNBYdiffNH7q1Knd6m/de/vRIkfMwZFRYOQT\nGPkE19szyl21I+D+7Q9N7V5n7tu2bfN/bdu2Pv74Y/Xp06drJgMAAF0qpHKvqanpcDsxMVEPP/xw\nWAYCAAA/TEjlzqe/AQDQc4RU7tddd933Xi0vyf/36LyDHAAA3UdI5T5lyhT16dNH06dPl8Ph0Pbt\n2/Wvf/1L9957b7jnAwAA/6OQyv2dd97RSy+95L99xx136JZbbtHFF18ctsEAAEDnhPT2s5K0Z88e\n/9c7d+5UXFxcWAYCAAA/TEhn7g888IDy8/N14sQJSVJKSopWr14d1sEAAEDnhFTuY8aM0d///nc1\nNDSoX79+nLUDANCNhXRZ/vPPP9fs2bM1Y8YMnTx5UrfffruOHj0a7tkAAEAnhPyRr3PmzNHAgQM1\nePBg3XjjjcrPzw/3bAAAoBNCKvfGxka53W5JkmVZmj59upqbm8M6GAAA6JyQyr1///764osv/G9k\n889//lN9+/YN62AAAKBzQnpBXUFBgebOnavPPvtMU6dO1ddff61HHnkk3LMBAIBOCKncv/zyS23Z\nskWffvqp2tvblZKSwpk7AADdVEiX5desWaM+ffpo1KhRuuyyyyh2AAC6sZDO3IcNG6aCggJdccUV\n6t+/v3/7TTfdFLbBAABA5wQs92PHjunCCy9UYmKiJOngwYMd9lPuAAB0PwHLfd68eXr55ZdVXl6u\np59+Wrm5uZGaCwAAdFLA59xt2/Z/vX379rAPAwAAfriA5f7t37VLHYseAAB0XyF/5Ot3ix4AAHRf\nAZ9z//jjjzVhwgRJ///Fdd9+bdu2LMtSZWVl+CcEAAD/k4Dl/o9//CNScwAAgC4SsNwvvvjiSM0B\nAAC6SMjPuQMAgJ6BcgcAwDCUOwAAhqHcAQAwDOUOAIBhwlruBw8e1KxZsyRJ77//vsaPH69Zs2Zp\n1qxZeu211yRJ69atU1ZWlmbMmKFDhw5JkmprazVz5kzl5OSopKREPp8vnGMCAGCUkD7ytTOefPJJ\nvfrqqxowYIAkyePxaPbs2R0+fMbj8Wjfvn3avHmz6uvrtXDhQm3dulXl5eXKy8vTuHHjVFxcrMrK\nSk2aNClcowIAYJSwnbkPHz5ca9eu9d8+fPiwdu3apdtuu02FhYVqbm7W/v375Xa7ZVmWhgwZovb2\ndjU0NMjj8Sg9PV2SlJGRoT179oRrTAAAjBO2M/fMzEwdPXrUf3vs2LGaNm2axowZow0bNuixxx6T\ny+VSQkKCf01cXJyampr8b2/73W3BJCYOlMMR2/V3pAdJSnJFe4Ruj4wCI5/AyCc4MgosUvmErdzP\nNmnSJMXHx/u/Lisr04QJE+T1ev1rvF6vXC6XYmJiOmz79vsCaWw82fVD9yBJSS4dPx78IKg3I6PA\nyCcw8gmOjILr6nzOd7AQsVfLz5kzx/+Cub179+ryyy9Xamqqqqur5fP5VFdXJ5/Pp0GDBmn06NGq\nqamRJFVVVSktLS1SYwIA0ONF7Mx9+fLlKisrU58+fTR48GCVlZXJ6XQqLS1N2dnZ8vl8Ki4uliTl\n5+erqKhIFRUVSklJUWZmZqTGBACgx7Ns27ajPURX6O2XgrgcFhwZBUY+gZFPcL09o9xVOwLu3/7Q\nVPMuywMAgMig3AEAMAzlDgCAYSh3AAAMQ7kDAGAYyh0AAMNQ7gAAGIZyBwDAMJQ7AACGodwBADAM\n5Q4AgGEodwAADEO5AwBgGModAADDUO4AABiGcgcAwDCUOwAAhqHcAQAwDOUOAIBhKHcAAAxDuQMA\nYBjKHQAAw1DuAAAYhnIHAMAwlDsAAIah3AEAMAzlDgCAYSh3AAAMQ7kDAGAYyh0AAMOEtdwPHjyo\nWbNmSZJqa2s1c+ZM5eTkqKSkRD6fT5K0bt06ZWVlacaMGTp06FDAtQAAILiwlfuTTz6pZcuW6cyZ\nM5Kk8vJy5eXladOmTbJtW5WVlfJ4PNq3b582b96siooKlZaWnnctAAAITdjKffjw4Vq7dq3/tsfj\nUXp6uiQpIyNDe/bs0f79++V2u2VZloYMGaL29nY1NDSccy0AAAiNI1w/ODMzU0ePHvXftm1blmVJ\nkuLi4tTU1KTm5mYlJCT413y7/Vxrg0lMHCiHI7aL70XPkpTkivYI3R4ZBUY+gZFPcGQUWKTyCVu5\nny0m5r8XCbxer+Lj4+V0OuX1ejtsd7lc51wbTGPjya4duIdJSnLp+PHgB0G9GRkFRj6BkU9wZBRc\nV+dzvoOFiL1afvTo0aqpqZEkVVVVKS0tTampqaqurpbP51NdXZ18Pp8GDRp0zrUAACA0ETtzz8/P\nV1FRkSoqKpSSkqLMzEzFxsYqLS1N2dnZ8vl8Ki4uPu9aAAAQGsu2bTvaQ3SF3n4piMthwZFRYOQT\nGPkE19szyl21I+D+7Q9NNe+yPAAAiAzKHQAAw1DuAAAYhnIHAMAwlDsAAIah3AEAMAzlDgCAYSh3\nAAAMQ7kDAGAYyh0AAMNQ7gAAGIZyBwDAMJQ7AACGodwBADAM5Q4AgGEodwAADEO5AwBgGModAADD\nUO4AABiGcgcAwDCUOwAAhqHcAQAwDOUOAIBhKHcAAAxDuQMAYBjKHQAAw1DuAAAYhnIHAMAwlDsA\nAIZxRPo/ePPNN8vpdEqShg4dquzsbD344IOKjY2V2+3WPffcI5/Pp+XLl+ujjz5S3759tWLFCiUn\nJ0d6VAAAeqSIlvuZM2dk27aeeeYZ/7apU6dq7dq1GjZsmO6++269//77Onr0qFpaWvTCCy/owIED\nWrVqlTZs2BDJUQEA6LEiWu4ffvihTp06pdzcXLW1tWnhwoVqaWnR8OHDJUlut1t79uzR8ePHNX78\neEnSlVdeqcOHD0dyTAAAerSIlnv//v01Z84cTZs2TZ9++qnuuusuxcfH+/fHxcXpP//5j5qbm/2X\n7iUpNjZWbW1tcjjOP25i4kA5HLFhnb+7S0pyRXuEbo+MAiOfwMgnODIKLFL5RLTcR4wYoeTkZFmW\npREjRsjlcumrr77y7/d6vYqPj9fp06fl9Xr9230+X8Bil6TGxpNhm7snSEpy6fjxpmiP0a2RUWDk\nExj5BEdGwXV1Puc7WIjoq+W3bNmiVatWSZKOHTumU6dOaeDAgfrss89k27aqq6uVlpam1NRUVVVV\nSZIOHDigSy+9NJJjAgDQo0X0zD0rK0sFBQWaOXOmLMvSypUrFRMTo8WLF6u9vV1ut1tXXHGFfvaz\nn2n37t2aMWOGbNvWypUrIzkmAAA9WkTLvW/fvnrooYe+t/3FF1/scDsmJkYPPPBApMYCAMAovIkN\nAACGodwBADAM5Q4AgGEodwAADEO5AwBgGModAADDUO4AABiGcgcAwDCUOwAAhqHcAQAwDOUOAIBh\nKHcAAAxDuQMAYBjKHQAAw1DuAAAYhnIHAMAwlDsAAIah3AEAMAzlDgCAYSh3AAAMQ7kDAGAYyh0A\nAMNQ7gAAGIZyBwDAMJQ7AACGodwBADAM5Q4AgGEodwAADEO5AwBgGEe0BwB6utxVOwLuf3rpdRGa\npHN6+vym4N8BXanblrvP59Py5cv10UcfqW/fvlqxYoWSk5MjOgO/bN0f/0bBBcuoJ8wQ7n/H7j6f\nFP3Helc8jn7ojNHOoCfptuX+9ttvq6WlRS+88IIOHDigVatWacOGDdEeK6K6wwO5J/xPL5CekGG0\nMwJMwe/af3Xbct+/f7/Gjx8vSbryyit1+PDhKE/U/fBABgCci2Xbth3tIc7l/vvv1+TJk3XNNddI\nkq699lq9/fbbcji67fEIAADdQrd9tbzT6ZTX6/Xf9vl8FDsAACHotuWempqqqqoqSdKBAwd06aWX\nRnkiAAB6hm57Wf7bV8v/+9//lm3bWrlypUaOHBntsQAA6Pa6bbkDAIDO6baX5QEAQOdQ7gAAGIaX\nn/dgBw8e1J/+9Cc988wzqq2t1dKlS2VZlkaNGqWSkhLFxPTOY7fW1lYVFhbq888/V0tLi+bPn6+f\n/OQn5PMd7e3tWrZsmY4cOSLLslRaWqp+/fqR0Vm+/PJL3XLLLXr66aflcDjI5yw333yznE6nJGno\n0KHKzs7Wgw8+qNjYWLndbt1zzz1RnjC6Nm7cqB07dqi1tVUzZ85Uenp65B5DNnqkJ554wr7xxhvt\nadOm2bZt23PnzrXfffdd27Ztu6ioyH7zzTejOV5UbdmyxV6xYoVt27bd2NhoX3PNNeRzlrfeeste\nunSpbdu2/e6779rz5s0jo7O0tLTYv/vd7+zJkyfbn3zyCfmc5fTp0/bUqVM7bPvtb39r19bW2j6f\nz77zzjttj8cTpemi791337Xnzp1rt7e3283Nzfajjz4a0cdQ7z7s7MGGDx+utWvX+m97PB6lp6dL\nkjIyMrRnz55ojRZ1119/vX7/+99LkmzbVmxsLPmcZeLEiSorK5Mk1dXVKT4+nozOsnr1as2YMUMX\nXHCBJH7Hzvbhhx/q1KlTys3N1e2336733ntPLS0tGj58uCzLktvt7tUZVVdX69JLL9WCBQs0b948\nXXvttRF9DFHuPVRmZmaHN/WxbVuWZUmS4uLi1NTUFK3Roi4uLk5Op1PNzc1atGiR8vLyyOccHA6H\n8vPzVVZWpilTppDRd7z00ksaNGiQ/y2wJX7Hzta/f3/NmTNHTz31lEpLS1VQUKABAwb49/f2jBob\nG3X48GE98sgjKi0t1eLFiyP6GOI5d0N893kbr9er+Pj4KE4TffX19VqwYIFycnI0ZcoUrVmzxr+P\nfP5r9erVWrx4saZPn64zZ874t/f2jLZu3SrLsrR371598MEHys/PV0NDg39/b89HkkaMGKHk5GRZ\nlqURI0bI5XLpq6++8u/v7RklJCQoJSVFffv2VUpKivr166cvvvjCvz/c+XDmbojRo0erpqZGklRV\nVaW0tLQoTxQ9J06cUG5urpYsWaKsrCxJ5HO2bdu2aePGjZKkAQMGyLIsjRkzhoz+z3PPPadnn31W\nzzzzjH76059q9erVysjIIJ/v2LJli1atWiVJOnbsmE6dOqWBAwfqs88+k23bqq6u7tUZ/eIXv9A7\n77wj27b9+Vx99dURewzxJjY92NGjR/WHP/xBL774oo4cOaKioiK1trYqJSVFK1asUGxsbLRHjIoV\nK1bo9ddfV0pKin/b/fffrxUrVpDP/zl58qQKCgp04sQJtbW16a677tLIkSN5DJ3DrFmztHz5csXE\nxJDPd7S0tKigoEB1dXWyLEuLFy9WTEyMVq5cqfb2drndbt17773RHjOq/vjHP6qmpka2bevee+/V\n0KFDI/YYotwBADAMl+UBADAM5Q4AgGEodwAADEO5AwBgGModAADDUO4AABiGcgcAwDCUOwAAhvl/\ncsgXvyo6JlkAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1131ce1d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lead_articles.mins_as_lead.clip_upper(60).plot.hist(bins=50)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We also want to scale this by the alexa page rank, such that the maximum score of 20 points is for an article that was on the front for 4 hours for the most popular site.\n",
    "\n",
    "So lets explore the alexa nunbers."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "publisher_id\n",
       "bbc_co_uk                               96\n",
       "cnn_com                                105\n",
       "nytimes_com                            120\n",
       "theguardian_com                        142\n",
       "buzzfeed_com                           147\n",
       "dailymail_co_uk                        158\n",
       "washingtonpost_com                     191\n",
       "huffingtonpost_com                     215\n",
       "foxnews_com                            285\n",
       "rt_com                                 365\n",
       "telegraph_co_uk                        370\n",
       "independent_co_uk                      386\n",
       "reuters_com                            497\n",
       "npr_org                                594\n",
       "lemonde_fr                             618\n",
       "mirror_co_uk                           706\n",
       "nbcnews_com                            826\n",
       "breitbart_com                          994\n",
       "ft_com                                1596\n",
       "economist_com                         1825\n",
       "indy100_com                           5014\n",
       "thetimes_co_uk                        6435\n",
       "newstatesman_com                     12769\n",
       "thecanary_co                         15686\n",
       "propublica_org                       16066\n",
       "yournewswire_com                     22568\n",
       "order-order_com                      32515\n",
       "anotherangryvoice_blogspot_co_uk     77827\n",
       "westmonster_com                      97775\n",
       "evolvepolitics_com                  119412\n",
       "skwawkbox_org                       152475\n",
       "libdemvoice_org                     344992\n",
       "brexitcentral_com                   469149\n",
       "Name: alexa_rank, dtype: int64"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "alexa_ranks = data.groupby(by=\"publisher_id\").alexa_rank.mean().sort_values()\n",
    "alexa_ranks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x111b9c9b0>"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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IXgTCr06ysvq/HC41NRWOjo6wt7dHamqq2XQHBwfV8xakXLkysLGxLnA+JyeHAud5UWIU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\nYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x111a71320>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "alexa_ranks.plot.bar(figsize=[10,5])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's try the simple option first: just divide the number of minutes as lead by the alexa rank. What's the scale of numbers we get then."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x10e73bf28>"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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j06dPq06dOsrOzlZ0dLSmTp1qdzYAAFBFfu3B169fX+PGjdO4cePszgMAAKqBXwXfqlUr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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110e6a940>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lead_proposal_1 = lead_articles.mins_as_lead.clip_upper(60) / lead_articles.alexa_rank\n",
    "lead_proposal_1.plot.hist()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Looks like there's too much of a cluster around 0. Have we massively over penalised the publishers with a high alexa rank?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x114699e80>"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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D09Pv2XyPl5cHUlLu2HyfCNF4euTgCN/DkWL8neapI+ThKPOTMRwzRn5P62/WEXL4u8XI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\nN8GtwgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x110e72b00>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lead_proposal_1.groupby(data.publisher_id).mean().plot.bar(figsize=[10,5])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Yes. Let's try taking the log of the alexa rank and see if that looks better."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x112b434e0>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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DAGAwihwAAINR5AAAGIwiBwDAYBQ5AAAGo8gBADDY/wF7SdQug7KUJAAAAABJ\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10e7850b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lead_proposal_2 = (lead_articles.mins_as_lead.clip_upper(60) / np.log(lead_articles.alexa_rank))\n",
    "lead_proposal_2.plot.hist()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>count</th>\n",
       "      <th>mean</th>\n",
       "      <th>std</th>\n",
       "      <th>min</th>\n",
       "      <th>25%</th>\n",
       "      <th>50%</th>\n",
       "      <th>75%</th>\n",
       "      <th>max</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>publisher_id</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>anotherangryvoice_blogspot_co_uk</th>\n",
       "      <td>35.00</td>\n",
       "      <td>5.31</td>\n",
       "      <td>0.11</td>\n",
       "      <td>4.71</td>\n",
       "      <td>5.33</td>\n",
       "      <td>5.33</td>\n",
       "      <td>5.33</td>\n",
       "      <td>5.33</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>bbc_co_uk</th>\n",
       "      <td>101.00</td>\n",
       "      <td>12.90</td>\n",
       "      <td>1.46</td>\n",
       "      <td>1.10</td>\n",
       "      <td>13.15</td>\n",
       "      <td>13.15</td>\n",
       "      <td>13.15</td>\n",
       "      <td>13.15</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>breitbart_com</th>\n",
       "      <td>202.00</td>\n",
       "      <td>8.32</td>\n",
       "      <td>1.45</td>\n",
       "      <td>0.58</td>\n",
       "      <td>8.69</td>\n",
       "      <td>8.69</td>\n",
       "      <td>8.69</td>\n",
       "      <td>8.69</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>brexitcentral_com</th>\n",
       "      <td>47.00</td>\n",
       "      <td>4.38</td>\n",
       "      <td>0.84</td>\n",
       "      <td>0.69</td>\n",
       "      <td>4.59</td>\n",
       "      <td>4.59</td>\n",
       "      <td>4.59</td>\n",
       "      <td>4.59</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>buzzfeed_com</th>\n",
       "      <td>302.00</td>\n",
       "      <td>11.89</td>\n",
       "      <td>0.90</td>\n",
       "      <td>1.80</td>\n",
       "      <td>12.02</td>\n",
       "      <td>12.02</td>\n",
       "      <td>12.02</td>\n",
       "      <td>12.02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>cnn_com</th>\n",
       "      <td>198.00</td>\n",
       "      <td>12.26</td>\n",
       "      <td>2.14</td>\n",
       "      <td>0.86</td>\n",
       "      <td>12.89</td>\n",
       "      <td>12.89</td>\n",
       "      <td>12.89</td>\n",
       "      <td>12.89</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>dailymail_co_uk</th>\n",
       "      <td>169.00</td>\n",
       "      <td>11.54</td>\n",
       "      <td>1.46</td>\n",
       "      <td>0.99</td>\n",
       "      <td>11.85</td>\n",
       "      <td>11.85</td>\n",
       "      <td>11.85</td>\n",
       "      <td>11.85</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>economist_com</th>\n",
       "      <td>42.00</td>\n",
       "      <td>7.22</td>\n",
       "      <td>2.19</td>\n",
       "      <td>0.53</td>\n",
       "      <td>7.99</td>\n",
       "      <td>7.99</td>\n",
       "      <td>7.99</td>\n",
       "      <td>7.99</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>evolvepolitics_com</th>\n",
       "      <td>27.00</td>\n",
       "      <td>5.13</td>\n",
       "      <td>0.02</td>\n",
       "      <td>5.05</td>\n",
       "      <td>5.13</td>\n",
       "      <td>5.13</td>\n",
       "      <td>5.13</td>\n",
       "      <td>5.13</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>foxnews_com</th>\n",
       "      <td>115.00</td>\n",
       "      <td>10.58</td>\n",
       "      <td>0.33</td>\n",
       "      <td>7.08</td>\n",
       "      <td>10.61</td>\n",
       "      <td>10.61</td>\n",
       "      <td>10.61</td>\n",
       "      <td>10.61</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ft_com</th>\n",
       "      <td>103.00</td>\n",
       "      <td>7.55</td>\n",
       "      <td>1.75</td>\n",
       "      <td>0.54</td>\n",
       "      <td>8.14</td>\n",
       "      <td>8.14</td>\n",
       "      <td>8.14</td>\n",
       "      <td>8.14</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>huffingtonpost_com</th>\n",
       "      <td>176.00</td>\n",
       "      <td>11.02</td>\n",
       "      <td>0.79</td>\n",
       "      <td>3.72</td>\n",
       "      <td>11.17</td>\n",
       "      <td>11.17</td>\n",
       "      <td>11.17</td>\n",
       "      <td>11.17</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>independent_co_uk</th>\n",
       "      <td>135.00</td>\n",
       "      <td>9.83</td>\n",
       "      <td>1.12</td>\n",
       "      <td>0.84</td>\n",
       "      <td>10.07</td>\n",
       "      <td>10.07</td>\n",
       "      <td>10.07</td>\n",
       "      <td>10.07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>indy100_com</th>\n",
       "      <td>231.00</td>\n",
       "      <td>5.35</td>\n",
       "      <td>2.06</td>\n",
       "      <td>0.47</td>\n",
       "      <td>3.52</td>\n",
       "      <td>6.92</td>\n",
       "      <td>7.04</td>\n",
       "      <td>7.04</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>lemonde_fr</th>\n",
       "      <td>189.00</td>\n",
       "      <td>8.46</td>\n",
       "      <td>2.19</td>\n",
       "      <td>0.62</td>\n",
       "      <td>9.34</td>\n",
       "      <td>9.34</td>\n",
       "      <td>9.34</td>\n",
       "      <td>9.34</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>libdemvoice_org</th>\n",
       "      <td>142.00</td>\n",
       "      <td>4.65</td>\n",
       "      <td>0.35</td>\n",
       "      <td>1.18</td>\n",
       "      <td>4.71</td>\n",
       "      <td>4.71</td>\n",
       "      <td>4.71</td>\n",
       "      <td>4.71</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mirror_co_uk</th>\n",
       "      <td>327.00</td>\n",
       "      <td>8.62</td>\n",
       "      <td>1.52</td>\n",
       "      <td>0.61</td>\n",
       "      <td>9.15</td>\n",
       "      <td>9.15</td>\n",
       "      <td>9.15</td>\n",
       "      <td>9.15</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>nbcnews_com</th>\n",
       "      <td>116.00</td>\n",
       "      <td>8.74</td>\n",
       "      <td>1.10</td>\n",
       "      <td>0.74</td>\n",
       "      <td>8.93</td>\n",
       "      <td>8.93</td>\n",
       "      <td>8.93</td>\n",
       "      <td>8.93</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>newstatesman_com</th>\n",
       "      <td>76.00</td>\n",
       "      <td>6.02</td>\n",
       "      <td>1.12</td>\n",
       "      <td>1.06</td>\n",
       "      <td>6.35</td>\n",
       "      <td>6.35</td>\n",
       "      <td>6.35</td>\n",
       "      <td>6.35</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>npr_org</th>\n",
       "      <td>159.00</td>\n",
       "      <td>9.08</td>\n",
       "      <td>1.11</td>\n",
       "      <td>3.13</td>\n",
       "      <td>9.39</td>\n",
       "      <td>9.39</td>\n",
       "      <td>9.39</td>\n",
       "      <td>9.39</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>nytimes_com</th>\n",
       "      <td>54.00</td>\n",
       "      <td>12.53</td>\n",
       "      <td>0.00</td>\n",
       "      <td>12.53</td>\n",
       "      <td>12.53</td>\n",
       "      <td>12.53</td>\n",
       "      <td>12.53</td>\n",
       "      <td>12.53</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>order-order_com</th>\n",
       "      <td>292.00</td>\n",
       "      <td>4.26</td>\n",
       "      <td>1.55</td>\n",
       "      <td>0.39</td>\n",
       "      <td>2.89</td>\n",
       "      <td>4.33</td>\n",
       "      <td>5.78</td>\n",
       "      <td>5.78</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>propublica_org</th>\n",
       "      <td>22.00</td>\n",
       "      <td>6.20</td>\n",
       "      <td>0.00</td>\n",
       "      <td>6.20</td>\n",
       "      <td>6.20</td>\n",
       "      <td>6.20</td>\n",
       "      <td>6.20</td>\n",
       "      <td>6.20</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>reuters_com</th>\n",
       "      <td>99.00</td>\n",
       "      <td>9.26</td>\n",
       "      <td>1.40</td>\n",
       "      <td>3.06</td>\n",
       "      <td>9.66</td>\n",
       "      <td>9.66</td>\n",
       "      <td>9.66</td>\n",
       "      <td>9.66</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>rt_com</th>\n",
       "      <td>151.00</td>\n",
       "      <td>9.60</td>\n",
       "      <td>1.82</td>\n",
       "      <td>0.85</td>\n",
       "      <td>10.17</td>\n",
       "      <td>10.17</td>\n",
       "      <td>10.17</td>\n",
       "      <td>10.17</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>skwawkbox_org</th>\n",
       "      <td>127.00</td>\n",
       "      <td>4.70</td>\n",
       "      <td>0.89</td>\n",
       "      <td>0.42</td>\n",
       "      <td>5.03</td>\n",
       "      <td>5.03</td>\n",
       "      <td>5.03</td>\n",
       "      <td>5.03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>telegraph_co_uk</th>\n",
       "      <td>102.00</td>\n",
       "      <td>9.83</td>\n",
       "      <td>1.50</td>\n",
       "      <td>0.85</td>\n",
       "      <td>10.15</td>\n",
       "      <td>10.15</td>\n",
       "      <td>10.15</td>\n",
       "      <td>10.15</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>thecanary_co</th>\n",
       "      <td>232.00</td>\n",
       "      <td>4.85</td>\n",
       "      <td>1.67</td>\n",
       "      <td>0.93</td>\n",
       "      <td>3.62</td>\n",
       "      <td>6.11</td>\n",
       "      <td>6.21</td>\n",
       "      <td>6.21</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>theguardian_com</th>\n",
       "      <td>156.00</td>\n",
       "      <td>11.14</td>\n",
       "      <td>2.55</td>\n",
       "      <td>1.01</td>\n",
       "      <td>12.11</td>\n",
       "      <td>12.11</td>\n",
       "      <td>12.11</td>\n",
       "      <td>12.11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>thetimes_co_uk</th>\n",
       "      <td>63.00</td>\n",
       "      <td>6.65</td>\n",
       "      <td>0.88</td>\n",
       "      <td>2.17</td>\n",
       "      <td>6.84</td>\n",
       "      <td>6.84</td>\n",
       "      <td>6.84</td>\n",
       "      <td>6.84</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>washingtonpost_com</th>\n",
       "      <td>81.00</td>\n",
       "      <td>10.93</td>\n",
       "      <td>1.85</td>\n",
       "      <td>0.76</td>\n",
       "      <td>11.42</td>\n",
       "      <td>11.42</td>\n",
       "      <td>11.42</td>\n",
       "      <td>11.42</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>westmonster_com</th>\n",
       "      <td>79.00</td>\n",
       "      <td>4.96</td>\n",
       "      <td>0.83</td>\n",
       "      <td>1.31</td>\n",
       "      <td>5.22</td>\n",
       "      <td>5.22</td>\n",
       "      <td>5.22</td>\n",
       "      <td>5.22</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>yournewswire_com</th>\n",
       "      <td>165.00</td>\n",
       "      <td>5.78</td>\n",
       "      <td>0.82</td>\n",
       "      <td>0.40</td>\n",
       "      <td>5.99</td>\n",
       "      <td>5.99</td>\n",
       "      <td>5.99</td>\n",
       "      <td>5.99</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                  count  mean  std   min   25%   50%   75%  \\\n",
       "publisher_id                                                                 \n",
       "anotherangryvoice_blogspot_co_uk  35.00  5.31 0.11  4.71  5.33  5.33  5.33   \n",
       "bbc_co_uk                        101.00 12.90 1.46  1.10 13.15 13.15 13.15   \n",
       "breitbart_com                    202.00  8.32 1.45  0.58  8.69  8.69  8.69   \n",
       "brexitcentral_com                 47.00  4.38 0.84  0.69  4.59  4.59  4.59   \n",
       "buzzfeed_com                     302.00 11.89 0.90  1.80 12.02 12.02 12.02   \n",
       "cnn_com                          198.00 12.26 2.14  0.86 12.89 12.89 12.89   \n",
       "dailymail_co_uk                  169.00 11.54 1.46  0.99 11.85 11.85 11.85   \n",
       "economist_com                     42.00  7.22 2.19  0.53  7.99  7.99  7.99   \n",
       "evolvepolitics_com                27.00  5.13 0.02  5.05  5.13  5.13  5.13   \n",
       "foxnews_com                      115.00 10.58 0.33  7.08 10.61 10.61 10.61   \n",
       "ft_com                           103.00  7.55 1.75  0.54  8.14  8.14  8.14   \n",
       "huffingtonpost_com               176.00 11.02 0.79  3.72 11.17 11.17 11.17   \n",
       "independent_co_uk                135.00  9.83 1.12  0.84 10.07 10.07 10.07   \n",
       "indy100_com                      231.00  5.35 2.06  0.47  3.52  6.92  7.04   \n",
       "lemonde_fr                       189.00  8.46 2.19  0.62  9.34  9.34  9.34   \n",
       "libdemvoice_org                  142.00  4.65 0.35  1.18  4.71  4.71  4.71   \n",
       "mirror_co_uk                     327.00  8.62 1.52  0.61  9.15  9.15  9.15   \n",
       "nbcnews_com                      116.00  8.74 1.10  0.74  8.93  8.93  8.93   \n",
       "newstatesman_com                  76.00  6.02 1.12  1.06  6.35  6.35  6.35   \n",
       "npr_org                          159.00  9.08 1.11  3.13  9.39  9.39  9.39   \n",
       "nytimes_com                       54.00 12.53 0.00 12.53 12.53 12.53 12.53   \n",
       "order-order_com                  292.00  4.26 1.55  0.39  2.89  4.33  5.78   \n",
       "propublica_org                    22.00  6.20 0.00  6.20  6.20  6.20  6.20   \n",
       "reuters_com                       99.00  9.26 1.40  3.06  9.66  9.66  9.66   \n",
       "rt_com                           151.00  9.60 1.82  0.85 10.17 10.17 10.17   \n",
       "skwawkbox_org                    127.00  4.70 0.89  0.42  5.03  5.03  5.03   \n",
       "telegraph_co_uk                  102.00  9.83 1.50  0.85 10.15 10.15 10.15   \n",
       "thecanary_co                     232.00  4.85 1.67  0.93  3.62  6.11  6.21   \n",
       "theguardian_com                  156.00 11.14 2.55  1.01 12.11 12.11 12.11   \n",
       "thetimes_co_uk                    63.00  6.65 0.88  2.17  6.84  6.84  6.84   \n",
       "washingtonpost_com                81.00 10.93 1.85  0.76 11.42 11.42 11.42   \n",
       "westmonster_com                   79.00  4.96 0.83  1.31  5.22  5.22  5.22   \n",
       "yournewswire_com                 165.00  5.78 0.82  0.40  5.99  5.99  5.99   \n",
       "\n",
       "                                   max  \n",
       "publisher_id                            \n",
       "anotherangryvoice_blogspot_co_uk  5.33  \n",
       "bbc_co_uk                        13.15  \n",
       "breitbart_com                     8.69  \n",
       "brexitcentral_com                 4.59  \n",
       "buzzfeed_com                     12.02  \n",
       "cnn_com                          12.89  \n",
       "dailymail_co_uk                  11.85  \n",
       "economist_com                     7.99  \n",
       "evolvepolitics_com                5.13  \n",
       "foxnews_com                      10.61  \n",
       "ft_com                            8.14  \n",
       "huffingtonpost_com               11.17  \n",
       "independent_co_uk                10.07  \n",
       "indy100_com                       7.04  \n",
       "lemonde_fr                        9.34  \n",
       "libdemvoice_org                   4.71  \n",
       "mirror_co_uk                      9.15  \n",
       "nbcnews_com                       8.93  \n",
       "newstatesman_com                  6.35  \n",
       "npr_org                           9.39  \n",
       "nytimes_com                      12.53  \n",
       "order-order_com                   5.78  \n",
       "propublica_org                    6.20  \n",
       "reuters_com                       9.66  \n",
       "rt_com                           10.17  \n",
       "skwawkbox_org                     5.03  \n",
       "telegraph_co_uk                  10.15  \n",
       "thecanary_co                      6.21  \n",
       "theguardian_com                  12.11  \n",
       "thetimes_co_uk                    6.84  \n",
       "washingtonpost_com               11.42  \n",
       "westmonster_com                   5.22  \n",
       "yournewswire_com                  5.99  "
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lead_proposal_2.groupby(data.publisher_id).describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x1137b1a90>"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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Jx8cHPj4+RudCREREZNU0j3Ei4+Q2Vwbw350vg4iIyJpw5nAiIiIiQSyciIiIiASxcCIi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\nIYQQNVHgRAghhBCipv8DJ6LLu3wjjEMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10eb32b00>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lead_proposal_2.groupby(data.publisher_id).min().plot.bar(figsize=[10,5])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "That looks about right, as long as the smaller publishers were closer to zero. So let's apply feature scaling to this, to give a number between 1 and 20. (Anything not as lead will pass though as zero.)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": true,
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "def rescale(series):\n",
    "    return (series - series.min()) / (series.max() - series.min())\n",
    "\n",
    "lead_proposal_3 = np.ceil(20 * rescale(lead_proposal_2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.38500569152790032, 13.145359968846892)"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lead_proposal_2.min(), lead_proposal_2.max()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x113223390>"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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xwEj2aC8HDhzQlClTtH//ftntdrlcrqi4emlb778PPvigKisrI/JaOePDHQAA\n05zxh+UBADAN4Q4AgGEIdwAADEO4AwBgGMIdAADDEO4AABiGcAcAwDCEOwAAhvl/kwROb+Tf6doA\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x113810cf8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lead_proposal_3.plot.hist()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x113ace0b8>"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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gwP8d5EpJSYGLi4vV805OTkhJScn1+dwkJDx46vOurs6Ii9NWpGklI56eGC/TZ7GFGPnR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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x113816d68>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lead_proposal_3.groupby(data.publisher_id).median().plot.bar(figsize=[10,5])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": true,
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "data[\"lead_score\"] = pd.concat([lead_proposal_3, data.mins_as_lead[data.mins_as_lead==0]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.00     154372\n",
       "1.00         40\n",
       "2.00         57\n",
       "3.00         63\n",
       "4.00         79\n",
       "5.00         88\n",
       "6.00         79\n",
       "7.00        281\n",
       "8.00        299\n",
       "9.00        317\n",
       "10.00       218\n",
       "11.00       196\n",
       "12.00        62\n",
       "13.00       112\n",
       "14.00       585\n",
       "15.00       398\n",
       "16.00       362\n",
       "17.00       284\n",
       "18.00       242\n",
       "19.00       424\n",
       "20.00       327\n",
       "Name: lead_score, dtype: int64"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.lead_score.value_counts().sort_index()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "publisher_id\n",
       "anotherangryvoice_blogspot_co_uk    8.00\n",
       "bbc_co_uk                          20.00\n",
       "breitbart_com                      14.00\n",
       "brexitcentral_com                   7.00\n",
       "buzzfeed_com                       19.00\n",
       "cnn_com                            20.00\n",
       "dailymail_co_uk                    18.00\n",
       "economist_com                      12.00\n",
       "evolvepolitics_com                  8.00\n",
       "foxnews_com                        17.00\n",
       "ft_com                             13.00\n",
       "huffingtonpost_com                 17.00\n",
       "independent_co_uk                  16.00\n",
       "indy100_com                        11.00\n",
       "lemonde_fr                         15.00\n",
       "libdemvoice_org                     7.00\n",
       "mirror_co_uk                       14.00\n",
       "nbcnews_com                        14.00\n",
       "newstatesman_com                   10.00\n",
       "npr_org                            15.00\n",
       "nytimes_com                        20.00\n",
       "order-order_com                     9.00\n",
       "propublica_org                     10.00\n",
       "reuters_com                        15.00\n",
       "rt_com                             16.00\n",
       "skwawkbox_org                       8.00\n",
       "telegraph_co_uk                    16.00\n",
       "thecanary_co                       10.00\n",
       "theguardian_com                    19.00\n",
       "thetimes_co_uk                     11.00\n",
       "washingtonpost_com                 18.00\n",
       "westmonster_com                     8.00\n",
       "yournewswire_com                    9.00\n",
       "Name: lead_score, dtype: float64"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.lead_score.groupby(data.publisher_id).max()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In summary then, score for article $a$ is:\n",
    "\n",
    "\n",
    "$$\n",
    "unscaledLeadScore_a = \\frac{\\min(minsAsLead_a, 60)}{\\log(alexaRank_a)}\\\\\n",
    "leadScore_a = 19 \\cdot \n",
    "\\frac{unscaledLeadScore_a - \\min(unscaledLeadScore)}\n",
    "{\\max(unscaledLeadScore) - \\min(unscaledLeadScore)} \n",
    "+ 1\n",
    "$$\n",
    "\n",
    "Since the minium value of $minsAsLead$ is 1, $\\min(unscaledLeadScore)$ is pretty insignificant. So we can simplify this to:\n",
    "\n",
    "$$\n",
    "leadScore_a = 20 \\cdot \n",
    "\\frac{unscaledLeadScore_a }\n",
    "     {\\max(unscaledLeadScore)} \n",
    "$$\n",
    "\n",
    "or: \n",
    "\n",
    "$$\n",
    "leadScore_a = 20 \\cdot \n",
    "\\frac{\\frac{\\min(minsAsLead_a, 60)}{\\log(alexaRank_a)} }\n",
    "     {\\frac{60}{\\log(\\max(alexaRank))}} \n",
    "$$\n",
    "\n",
    "$$\n",
    "leadScore_a = \\left( 20 \\cdot \n",
    "\\frac{\\min(minsAsLead_a, 60)}{\\log(alexaRank_a)} \\cdot\n",
    "     {\\frac{\\log(\\max(alexaRank))}{60}} \\right)\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Time on front score (15 points)\n",
    "\n",
    "This is similar to time as lead, so lets try doing the same calculation, except we also want to factor in the number of slots on the front:\n",
    "\n",
    "\n",
    "$$frontScore_a = \n",
    "15 \n",
    "\\left(\\frac{\\min(minsOnFront_a, 1440)}{alexaRank_a \\cdot numArticlesOnFront_a}\\right) \n",
    "\\left( \\frac{\\min(alexaRank \\cdot numArticlesOnFront)}{1440} \\right)$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2.4500000000000002"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(data.alexa_rank * data.num_articles_on_front).min() / 1440"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "collapsed": true,
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "time_on_front_proposal_1 = np.ceil(data.mins_on_front.clip_upper(1440) / (data.alexa_rank * data.num_articles_on_front) * (2.45) * 15)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x114dc0f28>"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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JrrvuukyfPj0zZ87MU089lSQDOgsAAMC+qSoIjzrqqNx6663Zs2dPNm3alAULFuSYY47p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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11536be48>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "time_on_front_proposal_1.plot.hist(figsize=(15, 7), bins=15)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.00     75844\n",
       "2.00      7589\n",
       "3.00      4551\n",
       "4.00      4163\n",
       "5.00       791\n",
       "6.00       581\n",
       "7.00       569\n",
       "8.00       890\n",
       "9.00       586\n",
       "10.00      223\n",
       "11.00      308\n",
       "12.00      348\n",
       "13.00      120\n",
       "14.00       66\n",
       "15.00       35\n",
       "dtype: int64"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "time_on_front_proposal_1.value_counts().sort_index()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "publisher_id\n",
       "anotherangryvoice_blogspot_co_uk      38.00\n",
       "bbc_co_uk                          15612.00\n",
       "breitbart_com                       2624.00\n",
       "brexitcentral_com                     53.00\n",
       "buzzfeed_com                        9480.00\n",
       "cnn_com                            12207.00\n",
       "dailymail_co_uk                    14732.00\n",
       "economist_com                        302.00\n",
       "evolvepolitics_com                    74.00\n",
       "foxnews_com                         7983.00\n",
       "ft_com                              3528.00\n",
       "huffingtonpost_com                  7713.00\n",
       "independent_co_uk                   4548.00\n",
       "indy100_com                          491.00\n",
       "lemonde_fr                          3904.00\n",
       "libdemvoice_org                      177.00\n",
       "mirror_co_uk                        9900.00\n",
       "nbcnews_com                         1981.00\n",
       "newstatesman_com                     557.00\n",
       "npr_org                             2492.00\n",
       "nytimes_com                         9902.00\n",
       "order-order_com                      295.00\n",
       "propublica_org                        52.00\n",
       "reuters_com                         7124.00\n",
       "rt_com                              4531.00\n",
       "skwawkbox_org                        127.00\n",
       "telegraph_co_uk                     5567.00\n",
       "thecanary_co                         243.00\n",
       "theguardian_com                    12853.00\n",
       "thetimes_co_uk                      8850.00\n",
       "washingtonpost_com                  9250.00\n",
       "westmonster_com                      348.00\n",
       "yournewswire_com                     410.00\n",
       "dtype: float64"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "time_on_front_proposal_1.groupby(data.publisher_id).sum()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "That looks good to me."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "collapsed": true,
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "data[\"front_score\"] = np.ceil(data.mins_on_front.clip_upper(1440) / (data.alexa_rank * data.num_articles_on_front) * (2.45) * 15).fillna(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "id\n",
       "df8cf9e5ed31a1bfb34c9b73d9e5bce5ab98b439   1.00\n",
       "ff73a23349976db8c3e5ae3d4a64242b156f14a7   0.00\n",
       "107efa77273acbbe8fd60c139306e7fcd09fdd98   2.00\n",
       "5c4db3ff5ac83175ba202cb9327d7e7b52f79f46   0.00\n",
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       "5d6fc4a824831cf8daf5c6d06c6649b72a9ae32e   1.00\n",
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       "545ed82638e2b1facb7e2d696237bd7e846a5744   1.00\n",
       "                                           ... \n",
       "d0dd0c23333756ccd50495ab96cc98c7946a91c7   1.00\n",
       "bb27ecb8d6f3b9d536137616293963a89a7a0a31   1.00\n",
       "f0ec131dd80598a2df96a5323e5e1409e6e4c4ae   1.00\n",
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       "bc475aff1476ca08707c57a4b12ee156b06da4bc   1.00\n",
       "f34a5885b114fe4b586e17ca3431ba992319a432   9.00\n",
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       "4f3c42941ae3a8b2b6c69b65fbaf18b28f8c5958   0.00\n",
       "1a7ded246da17f7c6c2aa4727cd49b871cea4cbe   0.00\n",
       "ed625081fcc17e5ee7db2b4e6873e6fba309a303   1.00\n",
       "10144a48ef63b862fab6201edc5c2daec02397cc   1.00\n",
       "bfca8d6d582df2172f337712378d21a4b3107d02   1.00\n",
       "6cd23490cefdb9f8d7bf9c867c011787c727dcfe   0.00\n",
       "ff1740a2026615c843a834190d778d87f180dc9a   1.00\n",
       "fc92edc544029b512dee3e2662650306e8cc60ac   0.00\n",
       "a9b58a311d8f1b979900e9a379509e44cbbd73d8   0.00\n",
       "764782b334e0a4595592b66c546ad9b1e9ec222d   1.00\n",
       "2eb86c05f6b4a321e7ada7117739391b10866092   1.00\n",
       "d980f90f472268089a410b39cbe8633d22da482a   0.00\n",
       "0f8573f9e9c8a20294fd56f6a9ef5f0f1d26c25b   1.00\n",
       "4390dec1fda6917d9461659311c329ae3298bd43   2.00\n",
       "3aace91a23bd1281c696e8ad2d1ff678fd1ee279   0.00\n",
       "405e04e258a3610e9308d64588410b80c01644a2   1.00\n",
       "80944fe2bc75f2b72e33865d50f3b3326c5d11dd   1.00\n",
       "925c2db58567841316695f21643a8c362e2a1b85   1.00\n",
       "Name: front_score, Length: 158885, dtype: float64"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.front_score "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Facebook brand page promotion (15 points)\n",
    "\n",
    "One way a publisher has of promoting content is to post to their brand page. The significance of doing so is stronger when the brand page has more followers (likes).\n",
    "\n",
    "$$ facebookPromotionProposed1_a = 15 \\left( \\frac {brandPageLikes_a} {\\max(brandPageLikes)} \\right) $$\n",
    "\n",
    "Now lets explore the data to see if that makes sense. **tr;dr the formula above is incorrect**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "44693975.0"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.fb_brand_page_likes.max()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {
    "collapsed": true,
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "facebook_promotion_proposed_1 = np.ceil((15 * (data.fb_brand_page_likes / data.fb_brand_page_likes.max())).fillna(0))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x11391d2b0>"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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3p8YTYVjl5ga8HuGsEnWuWFjIIJEjkVjIINnIYSGD5G2OuEp948aN8vl82rlzpw4ePKjq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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10e0ef5c0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "facebook_promotion_proposed_1.value_counts().sort_index().plot.bar()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>count</th>\n",
       "      <th>mean</th>\n",
       "      <th>std</th>\n",
       "      <th>min</th>\n",
       "      <th>25%</th>\n",
       "      <th>50%</th>\n",
       "      <th>75%</th>\n",
       "      <th>max</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>publisher_id</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>anotherangryvoice_blogspot_co_uk</th>\n",
       "      <td>38.00</td>\n",
       "      <td>0.84</td>\n",
       "      <td>0.37</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>bbc_co_uk</th>\n",
       "      <td>11973.00</td>\n",
       "      <td>0.63</td>\n",
       "      <td>3.02</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>15.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>breitbart_com</th>\n",
       "      <td>2707.00</td>\n",
       "      <td>0.90</td>\n",
       "      <td>0.99</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>2.00</td>\n",
       "      <td>2.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>brexitcentral_com</th>\n",
       "      <td>53.00</td>\n",
       "      <td>0.92</td>\n",
       "      <td>0.27</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>buzzfeed_com</th>\n",
       "      <td>2010.00</td>\n",
       "      <td>0.24</td>\n",
       "      <td>0.43</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>cnn_com</th>\n",
       "      <td>3521.00</td>\n",
       "      <td>2.74</td>\n",
       "      <td>4.46</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>10.00</td>\n",
       "      <td>10.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>dailymail_co_uk</th>\n",
       "      <td>24900.00</td>\n",
       "      <td>0.56</td>\n",
       "      <td>1.58</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>5.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>economist_com</th>\n",
       "      <td>517.00</td>\n",
       "      <td>2.22</td>\n",
       "      <td>1.32</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>3.00</td>\n",
       "      <td>3.00</td>\n",
       "      <td>3.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>evolvepolitics_com</th>\n",
       "      <td>74.00</td>\n",
       "      <td>0.50</td>\n",
       "      <td>0.50</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.50</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>foxnews_com</th>\n",
       "      <td>6844.00</td>\n",
       "      <td>0.59</td>\n",
       "      <td>1.79</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>6.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ft_com</th>\n",
       "      <td>3792.00</td>\n",
       "      <td>0.50</td>\n",
       "      <td>0.87</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>2.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>huffingtonpost_com</th>\n",
       "      <td>11213.00</td>\n",
       "      <td>0.45</td>\n",
       "      <td>1.26</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>4.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>independent_co_uk</th>\n",
       "      <td>6578.00</td>\n",
       "      <td>0.60</td>\n",
       "      <td>1.20</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>3.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>indy100_com</th>\n",
       "      <td>512.00</td>\n",
       "      <td>0.63</td>\n",
       "      <td>0.48</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>lemonde_fr</th>\n",
       "      <td>3918.00</td>\n",
       "      <td>0.84</td>\n",
       "      <td>0.99</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>2.00</td>\n",
       "      <td>2.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>libdemvoice_org</th>\n",
       "      <td>177.00</td>\n",
       "      <td>0.81</td>\n",
       "      <td>0.40</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mirror_co_uk</th>\n",
       "      <td>10525.00</td>\n",
       "      <td>0.24</td>\n",
       "      <td>0.43</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>nbcnews_com</th>\n",
       "      <td>2207.00</td>\n",
       "      <td>1.99</td>\n",
       "      <td>2.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>4.00</td>\n",
       "      <td>4.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>newstatesman_com</th>\n",
       "      <td>567.00</td>\n",
       "      <td>0.74</td>\n",
       "      <td>0.44</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>npr_org</th>\n",
       "      <td>2020.00</td>\n",
       "      <td>1.39</td>\n",
       "      <td>1.50</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>3.00</td>\n",
       "      <td>3.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>nytimes_com</th>\n",
       "      <td>5185.00</td>\n",
       "      <td>1.47</td>\n",
       "      <td>2.28</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>5.00</td>\n",
       "      <td>5.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>order-order_com</th>\n",
       "      <td>296.00</td>\n",
       "      <td>0.81</td>\n",
       "      <td>0.39</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>propublica_org</th>\n",
       "      <td>52.00</td>\n",
       "      <td>0.83</td>\n",
       "      <td>0.38</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>reuters_com</th>\n",
       "      <td>6125.00</td>\n",
       "      <td>0.58</td>\n",
       "      <td>0.91</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>2.00</td>\n",
       "      <td>2.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>rt_com</th>\n",
       "      <td>2678.00</td>\n",
       "      <td>0.96</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>2.00</td>\n",
       "      <td>2.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>skwawkbox_org</th>\n",
       "      <td>127.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>telegraph_co_uk</th>\n",
       "      <td>7477.00</td>\n",
       "      <td>0.51</td>\n",
       "      <td>0.87</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>2.00</td>\n",
       "      <td>2.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>thecanary_co</th>\n",
       "      <td>243.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>theguardian_com</th>\n",
       "      <td>8680.00</td>\n",
       "      <td>0.51</td>\n",
       "      <td>1.12</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>3.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>thetimes_co_uk</th>\n",
       "      <td>8868.00</td>\n",
       "      <td>0.06</td>\n",
       "      <td>0.23</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>washingtonpost_com</th>\n",
       "      <td>24227.00</td>\n",
       "      <td>0.19</td>\n",
       "      <td>0.73</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>3.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>westmonster_com</th>\n",
       "      <td>371.00</td>\n",
       "      <td>0.23</td>\n",
       "      <td>0.42</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>yournewswire_com</th>\n",
       "      <td>410.00</td>\n",
       "      <td>0.22</td>\n",
       "      <td>0.41</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                    count  mean  std  min  25%  50%   75%  \\\n",
       "publisher_id                                                                \n",
       "anotherangryvoice_blogspot_co_uk    38.00  0.84 0.37 0.00 1.00 1.00  1.00   \n",
       "bbc_co_uk                        11973.00  0.63 3.02 0.00 0.00 0.00  0.00   \n",
       "breitbart_com                     2707.00  0.90 0.99 0.00 0.00 0.00  2.00   \n",
       "brexitcentral_com                   53.00  0.92 0.27 0.00 1.00 1.00  1.00   \n",
       "buzzfeed_com                      2010.00  0.24 0.43 0.00 0.00 0.00  0.00   \n",
       "cnn_com                           3521.00  2.74 4.46 0.00 0.00 0.00 10.00   \n",
       "dailymail_co_uk                  24900.00  0.56 1.58 0.00 0.00 0.00  0.00   \n",
       "economist_com                      517.00  2.22 1.32 0.00 0.00 3.00  3.00   \n",
       "evolvepolitics_com                  74.00  0.50 0.50 0.00 0.00 0.50  1.00   \n",
       "foxnews_com                       6844.00  0.59 1.79 0.00 0.00 0.00  0.00   \n",
       "ft_com                            3792.00  0.50 0.87 0.00 0.00 0.00  0.00   \n",
       "huffingtonpost_com               11213.00  0.45 1.26 0.00 0.00 0.00  0.00   \n",
       "independent_co_uk                 6578.00  0.60 1.20 0.00 0.00 0.00  0.00   \n",
       "indy100_com                        512.00  0.63 0.48 0.00 0.00 1.00  1.00   \n",
       "lemonde_fr                        3918.00  0.84 0.99 0.00 0.00 0.00  2.00   \n",
       "libdemvoice_org                    177.00  0.81 0.40 0.00 1.00 1.00  1.00   \n",
       "mirror_co_uk                     10525.00  0.24 0.43 0.00 0.00 0.00  0.00   \n",
       "nbcnews_com                       2207.00  1.99 2.00 0.00 0.00 0.00  4.00   \n",
       "newstatesman_com                   567.00  0.74 0.44 0.00 0.00 1.00  1.00   \n",
       "npr_org                           2020.00  1.39 1.50 0.00 0.00 0.00  3.00   \n",
       "nytimes_com                       5185.00  1.47 2.28 0.00 0.00 0.00  5.00   \n",
       "order-order_com                    296.00  0.81 0.39 0.00 1.00 1.00  1.00   \n",
       "propublica_org                      52.00  0.83 0.38 0.00 1.00 1.00  1.00   \n",
       "reuters_com                       6125.00  0.58 0.91 0.00 0.00 0.00  2.00   \n",
       "rt_com                            2678.00  0.96 1.00 0.00 0.00 0.00  2.00   \n",
       "skwawkbox_org                      127.00  1.00 0.00 1.00 1.00 1.00  1.00   \n",
       "telegraph_co_uk                   7477.00  0.51 0.87 0.00 0.00 0.00  2.00   \n",
       "thecanary_co                       243.00  1.00 0.00 1.00 1.00 1.00  1.00   \n",
       "theguardian_com                   8680.00  0.51 1.12 0.00 0.00 0.00  0.00   \n",
       "thetimes_co_uk                    8868.00  0.06 0.23 0.00 0.00 0.00  0.00   \n",
       "washingtonpost_com               24227.00  0.19 0.73 0.00 0.00 0.00  0.00   \n",
       "westmonster_com                    371.00  0.23 0.42 0.00 0.00 0.00  0.00   \n",
       "yournewswire_com                   410.00  0.22 0.41 0.00 0.00 0.00  0.00   \n",
       "\n",
       "                                   max  \n",
       "publisher_id                            \n",
       "anotherangryvoice_blogspot_co_uk  1.00  \n",
       "bbc_co_uk                        15.00  \n",
       "breitbart_com                     2.00  \n",
       "brexitcentral_com                 1.00  \n",
       "buzzfeed_com                      1.00  \n",
       "cnn_com                          10.00  \n",
       "dailymail_co_uk                   5.00  \n",
       "economist_com                     3.00  \n",
       "evolvepolitics_com                1.00  \n",
       "foxnews_com                       6.00  \n",
       "ft_com                            2.00  \n",
       "huffingtonpost_com                4.00  \n",
       "independent_co_uk                 3.00  \n",
       "indy100_com                       1.00  \n",
       "lemonde_fr                        2.00  \n",
       "libdemvoice_org                   1.00  \n",
       "mirror_co_uk                      1.00  \n",
       "nbcnews_com                       4.00  \n",
       "newstatesman_com                  1.00  \n",
       "npr_org                           3.00  \n",
       "nytimes_com                       5.00  \n",
       "order-order_com                   1.00  \n",
       "propublica_org                    1.00  \n",
       "reuters_com                       2.00  \n",
       "rt_com                            2.00  \n",
       "skwawkbox_org                     1.00  \n",
       "telegraph_co_uk                   2.00  \n",
       "thecanary_co                      1.00  \n",
       "theguardian_com                   3.00  \n",
       "thetimes_co_uk                    1.00  \n",
       "washingtonpost_com                3.00  \n",
       "westmonster_com                   1.00  \n",
       "yournewswire_com                  1.00  "
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "facebook_promotion_proposed_1.groupby(data.publisher_id).describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "That's too much variation: sites like the Guardian, which have a respectable 7.5m likes, should not be scoring a 3. Lets try applying a log to it, and then standard feature scaling again."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "publisher_id\n",
       "anotherangryvoice_blogspot_co_uk     330074.00\n",
       "bbc_co_uk                          44693975.00\n",
       "breitbart_com                       3720252.00\n",
       "brexitcentral_com                     11212.00\n",
       "buzzfeed_com                        2753297.00\n",
       "cnn_com                            29136270.00\n",
       "dailymail_co_uk                    13152590.00\n",
       "economist_com                       8351246.00\n",
       "evolvepolitics_com                   113625.00\n",
       "foxnews_com                        16012614.00\n",
       "ft_com                              3699305.00\n",
       "huffingtonpost_com                  9795839.00\n",
       "independent_co_uk                   7729827.00\n",
       "indy100_com                          228462.00\n",
       "lemonde_fr                          3930501.00\n",
       "libdemvoice_org                        8591.00\n",
       "mirror_co_uk                        2904439.00\n",
       "nbcnews_com                         9346923.00\n",
       "newstatesman_com                     154712.00\n",
       "npr_org                             6234045.00\n",
       "nytimes_com                        14853130.00\n",
       "order-order_com                       44768.00\n",
       "propublica_org                       368773.00\n",
       "reuters_com                         3896512.00\n",
       "rt_com                              4624363.00\n",
       "skwawkbox_org                          5808.00\n",
       "telegraph_co_uk                     4379813.00\n",
       "thecanary_co                         156042.00\n",
       "theguardian_com                     7777911.00\n",
       "thetimes_co_uk                       705739.00\n",
       "washingtonpost_com                  6072234.00\n",
       "westmonster_com                       15504.00\n",
       "yournewswire_com                      27023.00\n",
       "Name: fb_brand_page_likes, dtype: float64"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.fb_brand_page_likes.groupby(data.publisher_id).max()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "7.6727578966425103"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.log(2149)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "publisher_id\n",
       "anotherangryvoice_blogspot_co_uk   12.71\n",
       "bbc_co_uk                          17.62\n",
       "breitbart_com                      15.13\n",
       "brexitcentral_com                   9.32\n",
       "buzzfeed_com                       14.83\n",
       "cnn_com                            17.19\n",
       "dailymail_co_uk                    16.39\n",
       "economist_com                      15.94\n",
       "evolvepolitics_com                 11.64\n",
       "foxnews_com                        16.59\n",
       "ft_com                             15.12\n",
       "huffingtonpost_com                 16.10\n",
       "independent_co_uk                  15.86\n",
       "indy100_com                        12.34\n",
       "lemonde_fr                         15.18\n",
       "libdemvoice_org                     9.06\n",
       "mirror_co_uk                       14.88\n",
       "nbcnews_com                        16.05\n",
       "newstatesman_com                   11.95\n",
       "npr_org                            15.65\n",
       "nytimes_com                        16.51\n",
       "order-order_com                    10.71\n",
       "propublica_org                     12.82\n",
       "reuters_com                        15.18\n",
       "rt_com                             15.35\n",
       "skwawkbox_org                       8.67\n",
       "telegraph_co_uk                    15.29\n",
       "thecanary_co                       11.96\n",
       "theguardian_com                    15.87\n",
       "thetimes_co_uk                     13.47\n",
       "washingtonpost_com                 15.62\n",
       "westmonster_com                     9.65\n",
       "yournewswire_com                   10.20\n",
       "Name: fb_brand_page_likes, dtype: float64"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.log(data.fb_brand_page_likes.groupby(data.publisher_id).max())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "That's more like it, but the lower numbers should be smaller."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "publisher_id\n",
       "anotherangryvoice_blogspot_co_uk    5.80\n",
       "bbc_co_uk                          10.71\n",
       "breitbart_com                       8.22\n",
       "brexitcentral_com                   2.42\n",
       "buzzfeed_com                        7.92\n",
       "cnn_com                            10.28\n",
       "dailymail_co_uk                     9.48\n",
       "economist_com                       9.03\n",
       "evolvepolitics_com                  4.73\n",
       "foxnews_com                         9.68\n",
       "ft_com                              8.22\n",
       "huffingtonpost_com                  9.19\n",
       "independent_co_uk                   8.95\n",
       "indy100_com                         5.43\n",
       "lemonde_fr                          8.28\n",
       "libdemvoice_org                     2.15\n",
       "mirror_co_uk                        7.97\n",
       "nbcnews_com                         9.14\n",
       "newstatesman_com                    5.04\n",
       "npr_org                             8.74\n",
       "nytimes_com                         9.61\n",
       "order-order_com                     3.80\n",
       "propublica_org                      5.91\n",
       "reuters_com                         8.27\n",
       "rt_com                              8.44\n",
       "skwawkbox_org                       1.76\n",
       "telegraph_co_uk                     8.38\n",
       "thecanary_co                        5.05\n",
       "theguardian_com                     8.96\n",
       "thetimes_co_uk                      6.56\n",
       "washingtonpost_com                  8.71\n",
       "westmonster_com                     2.74\n",
       "yournewswire_com                    3.30\n",
       "Name: fb_brand_page_likes, dtype: float64"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.log(data.fb_brand_page_likes.groupby(data.publisher_id).max() / 1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {
    "collapsed": true,
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "scaled_fb_brand_page_likes = (data.fb_brand_page_likes / 1000)\n",
    "facebook_promotion_proposed_2 = np.ceil(\\\n",
    "    (15 * \\\n",
    "     (np.log(scaled_fb_brand_page_likes) / np.log(scaled_fb_brand_page_likes.max()))\\\n",
    "    )\\\n",
    "                                       ).fillna(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "publisher_id\n",
       "anotherangryvoice_blogspot_co_uk    9.00\n",
       "bbc_co_uk                          15.00\n",
       "breitbart_com                      12.00\n",
       "brexitcentral_com                   4.00\n",
       "buzzfeed_com                       12.00\n",
       "cnn_com                            15.00\n",
       "dailymail_co_uk                    14.00\n",
       "economist_com                      13.00\n",
       "evolvepolitics_com                  7.00\n",
       "foxnews_com                        14.00\n",
       "ft_com                             12.00\n",
       "huffingtonpost_com                 13.00\n",
       "independent_co_uk                  13.00\n",
       "indy100_com                         8.00\n",
       "lemonde_fr                         12.00\n",
       "libdemvoice_org                     4.00\n",
       "mirror_co_uk                       12.00\n",
       "nbcnews_com                        13.00\n",
       "newstatesman_com                    8.00\n",
       "npr_org                            13.00\n",
       "nytimes_com                        14.00\n",
       "order-order_com                     6.00\n",
       "propublica_org                      9.00\n",
       "reuters_com                        12.00\n",
       "rt_com                             12.00\n",
       "skwawkbox_org                       3.00\n",
       "telegraph_co_uk                    12.00\n",
       "thecanary_co                        8.00\n",
       "theguardian_com                    13.00\n",
       "thetimes_co_uk                     10.00\n",
       "washingtonpost_com                 13.00\n",
       "westmonster_com                     4.00\n",
       "yournewswire_com                    5.00\n",
       "Name: fb_brand_page_likes, dtype: float64"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "facebook_promotion_proposed_2.groupby(data.publisher_id).max()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "LGTM. So the equation is\n",
    "\n",
    "\n",
    "$$ facebookPromotion_a = 15 \\left( \n",
    "\\frac {\\log(\\frac {brandPageLikes_a}{1000})} \n",
    "{\\log(\\frac {\\max(brandPageLikes)}{1000}))} \\right) $$\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, let's try applying standard feature scaling approch to this, rather than using a magic number of 1,000. That equation would be:\n",
    "\n",
    "\\begin{align}\n",
    "unscaledFacebookPromotion_a &= \n",
    "   \\log(brandPageLikes_a) \\\\\n",
    "facebookPromotion_a &= \n",
    "   15 \\cdot \\frac{unscaledFacebookPromotion_a - \\min(unscaledFacebookPromotion)}{\\max(unscaledFacebookPromotion) - \\min(unscaledFacebookPromotion)}  \\\\\n",
    "\\\\\n",
    "\\text{The scaling can be simplified to:} \\\\\n",
    "facebookPromotion_a &= \n",
    "   15 \\cdot \\frac{unscaledFacebookPromotion_a - \\log(\\min(brandPageLikes))}{\\log(\\max(brandPageLikes)) - \\log(\\min(brandPageLikes))}  \\\\\n",
    "\\\\\n",
    "\\text{Meaning the overall equation becomes:} \\\\\n",
    "facebookPromotion_a &= \n",
    "   15 \\cdot \\frac{\\log(brandPageLikes_a) - \\log(\\min(brandPageLikes))}{\\log(\\max(brandPageLikes)) - \\log(\\min(brandPageLikes))} \n",
    "   \\end{align}\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "facebook_promotion_proposed_3 = np.ceil(\n",
    "    (14 * \n",
    "     ( \n",
    "         (np.log(data.fb_brand_page_likes) - np.log(data.fb_brand_page_likes.min()) ) /\n",
    "         (np.log(data.fb_brand_page_likes.max()) - np.log(data.fb_brand_page_likes.min()))\n",
    "     )\n",
    "    ) + 1\n",
    "                                       )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "publisher_id\n",
       "anotherangryvoice_blogspot_co_uk    8.00\n",
       "bbc_co_uk                          15.00\n",
       "breitbart_com                      12.00\n",
       "brexitcentral_com                   3.00\n",
       "buzzfeed_com                       11.00\n",
       "cnn_com                            15.00\n",
       "dailymail_co_uk                    14.00\n",
       "economist_com                      13.00\n",
       "evolvepolitics_com                  6.00\n",
       "foxnews_com                        14.00\n",
       "ft_com                             12.00\n",
       "huffingtonpost_com                 13.00\n",
       "independent_co_uk                  13.00\n",
       "indy100_com                         7.00\n",
       "lemonde_fr                         12.00\n",
       "libdemvoice_org                     2.00\n",
       "mirror_co_uk                       11.00\n",
       "nbcnews_com                        13.00\n",
       "newstatesman_com                    7.00\n",
       "npr_org                            12.00\n",
       "nytimes_com                        14.00\n",
       "order-order_com                     5.00\n",
       "propublica_org                      8.00\n",
       "reuters_com                        12.00\n",
       "rt_com                             12.00\n",
       "skwawkbox_org                       2.00\n",
       "telegraph_co_uk                    12.00\n",
       "thecanary_co                        7.00\n",
       "theguardian_com                    13.00\n",
       "thetimes_co_uk                      9.00\n",
       "washingtonpost_com                 12.00\n",
       "westmonster_com                     3.00\n",
       "yournewswire_com                    4.00\n",
       "Name: fb_brand_page_likes, dtype: float64"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "facebook_promotion_proposed_3.groupby(data.publisher_id).max()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "data[\"facebook_promotion_score\"] = facebook_promotion_proposed_3.fillna(0.0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Review"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {
    "collapsed": true,
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "data[\"promotion_score\"] = (data.lead_score + data.front_score + data.facebook_promotion_score)\n",
    "data[\"attention_index\"] = (data.promotion_score + data.response_score)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x117d636d8>"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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5moJww4YN+3w9YcKE3Hjjjft9zKOPPpok+c53vpMNGzbkxhtvTLVazbx583Laaaelr68v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\nACX1fwB3jYSyA6w0hgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x117d5e588>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data.promotion_score.plot.hist(bins=np.arange(50), figsize=(15,6))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x11b1a8dd8>"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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Ll6a1tTXLly8vem8AAAAUqFcnhMOHD8+NN96YG2+8sej9AAAAUCe9CsIzzzwzlUrlsMfG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\nH4SwgOci9AqGAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x114d79e48>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data.attention_index.plot.hist(bins=np.arange(100), figsize=(15,6))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.00     25301\n",
       "1.00     19223\n",
       "2.00     13018\n",
       "3.00      9206\n",
       "4.00      7096\n",
       "5.00      5298\n",
       "6.00      4565\n",
       "7.00      4207\n",
       "8.00      3798\n",
       "9.00      3294\n",
       "10.00     3141\n",
       "11.00     2918\n",
       "12.00     2747\n",
       "13.00     2446\n",
       "14.00     2401\n",
       "15.00     2309\n",
       "16.00     2109\n",
       "17.00     1949\n",
       "18.00     1853\n",
       "19.00     1811\n",
       "20.00     1774\n",
       "21.00     1788\n",
       "22.00     1726\n",
       "23.00     1636\n",
       "24.00     1589\n",
       "25.00     1552\n",
       "26.00     1594\n",
       "27.00     1445\n",
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       "29.00     1384\n",
       "         ...  \n",
       "67.00       94\n",
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       "Name: attention_index, Length: 97, dtype: int64"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.attention_index.value_counts().sort_index()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
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       "      <td>20.00</td>\n",
       "      <td>7.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>42.00</td>\n",
       "      <td>91.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>83f4006ad4366078fe5620632914e763dfed5d24</th>\n",
       "      <td>http://www.cnn.com/2017/10/13/us/california-fi...</td>\n",
       "      <td>Woman dies in husband's arms while hiding in s...</td>\n",
       "      <td>2017-10-13 19:31:28.678</td>\n",
       "      <td>2017-10-13 19:29:10.000</td>\n",
       "      <td>61063</td>\n",
       "      <td>131.60</td>\n",
       "      <td>2017-10-14T06:21:11.198Z</td>\n",
       "      <td>3836</td>\n",
       "      <td>53852</td>\n",
       "      <td>3375</td>\n",
       "      <td>...</td>\n",
       "      <td>True</td>\n",
       "      <td>29025532.00</td>\n",
       "      <td>2017-10-14T06:00:28.000Z</td>\n",
       "      <td>105</td>\n",
       "      <td>47.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>9.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>44.00</td>\n",
       "      <td>91.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>bf9df1d59d28db1dc8a586a19bddec58c9dfcd56</th>\n",
       "      <td>http://www.cnn.com/2017/10/17/politics/trump-j...</td>\n",
       "      <td>Trump warns John McCain: 'Be careful ... I fig...</td>\n",
       "      <td>2017-10-17 15:31:27.783</td>\n",
       "      <td>2017-10-17 15:24:46.000</td>\n",
       "      <td>71046</td>\n",
       "      <td>241.69</td>\n",
       "      <td>2017-10-17T16:45:09.863Z</td>\n",
       "      <td>24910</td>\n",
       "      <td>40669</td>\n",
       "      <td>5467</td>\n",
       "      <td>...</td>\n",
       "      <td>True</td>\n",
       "      <td>29044379.00</td>\n",
       "      <td>2017-10-17T16:30:24.000Z</td>\n",
       "      <td>105</td>\n",
       "      <td>48.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>8.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>43.00</td>\n",
       "      <td>91.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10f7302737a4fe288003babdfa2e9350e36556ff</th>\n",
       "      <td>https://www.buzzfeed.com/coralewis/these-are-t...</td>\n",
       "      <td>These Are The Victims Of The Las Vegas Shooting</td>\n",
       "      <td>2017-10-02 15:43:19.061</td>\n",
       "      <td>2017-10-02 15:30:45.000</td>\n",
       "      <td>246234</td>\n",
       "      <td>1436.61</td>\n",
       "      <td>2017-10-03T17:06:12.166Z</td>\n",
       "      <td>15576</td>\n",
       "      <td>193415</td>\n",
       "      <td>37243</td>\n",
       "      <td>...</td>\n",
       "      <td>True</td>\n",
       "      <td>2710339.00</td>\n",
       "      <td>2017-10-02T23:08:00.000Z</td>\n",
       "      <td>147</td>\n",
       "      <td>50.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>11.00</td>\n",
       "      <td>11.00</td>\n",
       "      <td>41.00</td>\n",
       "      <td>91.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>daff5a6de1600351e1301260c729478c9dc2e36a</th>\n",
       "      <td>http://www.bbc.co.uk/news/entertainment-arts-4...</td>\n",
       "      <td>Rock and roll legend Fats Domino dies</td>\n",
       "      <td>2017-10-25 14:43:15.954</td>\n",
       "      <td>2017-10-25 14:39:46.000</td>\n",
       "      <td>82618</td>\n",
       "      <td>507.52</td>\n",
       "      <td>2017-10-25T15:15:11.832Z</td>\n",
       "      <td>10435</td>\n",
       "      <td>56692</td>\n",
       "      <td>15491</td>\n",
       "      <td>...</td>\n",
       "      <td>True</td>\n",
       "      <td>44530330.00</td>\n",
       "      <td>2017-10-25T14:42:20.000Z</td>\n",
       "      <td>96</td>\n",
       "      <td>49.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>7.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>42.00</td>\n",
       "      <td>91.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>beab15b7777cc9d822f21d549f76bf12fcdb53a2</th>\n",
       "      <td>http://www.cnn.com/2017/10/31/us/new-york-shot...</td>\n",
       "      <td>Shots fired in Manhattan; one person in custody</td>\n",
       "      <td>2017-10-31 19:43:20.020</td>\n",
       "      <td>2017-10-31 19:38:30.000</td>\n",
       "      <td>179977</td>\n",
       "      <td>545.86</td>\n",
       "      <td>2017-10-31T21:07:09.102Z</td>\n",
       "      <td>38732</td>\n",
       "      <td>105983</td>\n",
       "      <td>35262</td>\n",
       "      <td>...</td>\n",
       "      <td>True</td>\n",
       "      <td>29107811.00</td>\n",
       "      <td>2017-10-31T20:11:44.000Z</td>\n",
       "      <td>105</td>\n",
       "      <td>50.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>5.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>40.00</td>\n",
       "      <td>90.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>d221e354b313ce4e5536c4a0dee1dfd7cca379f3</th>\n",
       "      <td>http://www.cnn.com/2017/10/09/us/california-fi...</td>\n",
       "      <td>Wildfires rage in swath of California's wine c...</td>\n",
       "      <td>2017-10-09 11:52:23.501</td>\n",
       "      <td>2017-10-09 11:49:24.000</td>\n",
       "      <td>79676</td>\n",
       "      <td>153.43</td>\n",
       "      <td>2017-10-10T01:16:09.079Z</td>\n",
       "      <td>20985</td>\n",
       "      <td>48458</td>\n",
       "      <td>10233</td>\n",
       "      <td>...</td>\n",
       "      <td>True</td>\n",
       "      <td>28832711.00</td>\n",
       "      <td>2017-10-10T01:02:09.000Z</td>\n",
       "      <td>105</td>\n",
       "      <td>49.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>6.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>41.00</td>\n",
       "      <td>90.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>80756bf5f41ea79c83dddf95acfea413cedc47a6</th>\n",
       "      <td>https://www.buzzfeed.com/laurageiser/las-vegas...</td>\n",
       "      <td>Photos Show The Terrifying Aftermath Of Las Ve...</td>\n",
       "      <td>2017-10-02 10:34:10.208</td>\n",
       "      <td>2017-10-02 10:18:42.000</td>\n",
       "      <td>147698</td>\n",
       "      <td>420.10</td>\n",
       "      <td>2017-10-03T07:02:10.022Z</td>\n",
       "      <td>12795</td>\n",
       "      <td>113076</td>\n",
       "      <td>21827</td>\n",
       "      <td>...</td>\n",
       "      <td>True</td>\n",
       "      <td>2709326.00</td>\n",
       "      <td>2017-10-02T12:56:40.000Z</td>\n",
       "      <td>147</td>\n",
       "      <td>50.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>10.00</td>\n",
       "      <td>11.00</td>\n",
       "      <td>40.00</td>\n",
       "      <td>90.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3c40e0ffdf776c5bfef61de5ef7152eb00dc68d1</th>\n",
       "      <td>http://www.cnn.com/2017/10/12/politics/obamaca...</td>\n",
       "      <td>Trump will end health care cost-sharing subsidies</td>\n",
       "      <td>2017-10-13 03:01:31.361</td>\n",
       "      <td>2017-10-13 02:56:41.000</td>\n",
       "      <td>82624</td>\n",
       "      <td>200.70</td>\n",
       "      <td>2017-10-13T03:33:11.986Z</td>\n",
       "      <td>31282</td>\n",
       "      <td>41245</td>\n",
       "      <td>10097</td>\n",
       "      <td>...</td>\n",
       "      <td>True</td>\n",
       "      <td>29018649.00</td>\n",
       "      <td>2017-10-13T03:16:50.000Z</td>\n",
       "      <td>105</td>\n",
       "      <td>49.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>5.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>40.00</td>\n",
       "      <td>89.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21baf75c0cee1455134ba03272544695a9632d43</th>\n",
       "      <td>http://www.bbc.co.uk/news/world-us-canada-4182...</td>\n",
       "      <td>Casualties reported after New York 'shooting'</td>\n",
       "      <td>2017-10-31 19:37:10.279</td>\n",
       "      <td>2017-10-31 19:34:57.000</td>\n",
       "      <td>56934</td>\n",
       "      <td>336.38</td>\n",
       "      <td>2017-10-31T19:48:11.900Z</td>\n",
       "      <td>10368</td>\n",
       "      <td>33744</td>\n",
       "      <td>12822</td>\n",
       "      <td>...</td>\n",
       "      <td>True</td>\n",
       "      <td>44596174.00</td>\n",
       "      <td>2017-10-31T19:35:52.000Z</td>\n",
       "      <td>96</td>\n",
       "      <td>47.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>7.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>42.00</td>\n",
       "      <td>89.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ee3157d189708e28111bca2672b17c29164c3536</th>\n",
       "      <td>https://www.buzzfeed.com/nidhiprakash/puerto-r...</td>\n",
       "      <td>Puerto Rico's Government Just Admitted 911 Peo...</td>\n",
       "      <td>2017-10-27 22:34:23.096</td>\n",
       "      <td>2017-10-27 21:53:21.000</td>\n",
       "      <td>43600</td>\n",
       "      <td>38.37</td>\n",
       "      <td>2017-10-28T20:34:06.012Z</td>\n",
       "      <td>4928</td>\n",
       "      <td>27727</td>\n",
       "      <td>10945</td>\n",
       "      <td>...</td>\n",
       "      <td>True</td>\n",
       "      <td>2748557.00</td>\n",
       "      <td>2017-10-27T23:44:01.000Z</td>\n",
       "      <td>147</td>\n",
       "      <td>45.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>14.00</td>\n",
       "      <td>11.00</td>\n",
       "      <td>44.00</td>\n",
       "      <td>89.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4eac773f3ebe0d94a0fa4a6b6670ddf917c2731a</th>\n",
       "      <td>http://www.huffingtonpost.com/entry/las-vegas-...</td>\n",
       "      <td>Las Vegas Police Investigate Reports Of Active...</td>\n",
       "      <td>2017-10-02 05:59:14.138</td>\n",
       "      <td>2017-10-02 05:55:25.000</td>\n",
       "      <td>369539</td>\n",
       "      <td>945.57</td>\n",
       "      <td>2017-10-02T12:44:12.235Z</td>\n",
       "      <td>76304</td>\n",
       "      <td>232393</td>\n",
       "      <td>60842</td>\n",
       "      <td>...</td>\n",
       "      <td>True</td>\n",
       "      <td>9751564.00</td>\n",
       "      <td>2017-10-02T06:01:09.000Z</td>\n",
       "      <td>215</td>\n",
       "      <td>50.00</td>\n",
       "      <td>17.00</td>\n",
       "      <td>9.00</td>\n",
       "      <td>13.00</td>\n",
       "      <td>39.00</td>\n",
       "      <td>89.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>516109aeae85946b20f0815443503941a9377f91</th>\n",
       "      <td>http://www.cnn.com/2017/10/19/politics/bush-sp...</td>\n",
       "      <td>George W. Bush just laid the smackdown on Trum...</td>\n",
       "      <td>2017-10-19 18:53:18.568</td>\n",
       "      <td>2017-10-19 18:49:39.000</td>\n",
       "      <td>92682</td>\n",
       "      <td>261.19</td>\n",
       "      <td>2017-10-19T23:43:06.164Z</td>\n",
       "      <td>14364</td>\n",
       "      <td>69760</td>\n",
       "      <td>8558</td>\n",
       "      <td>...</td>\n",
       "      <td>True</td>\n",
       "      <td>29056712.00</td>\n",
       "      <td>2017-10-19T23:30:15.000Z</td>\n",
       "      <td>105</td>\n",
       "      <td>50.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>4.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>39.00</td>\n",
       "      <td>89.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>cac2ab0eb67721d299e607b8f0fffd7231ea75d1</th>\n",
       "      <td>http://www.cnn.com/2017/10/05/politics/special...</td>\n",
       "      <td>Mueller's team met with Russia dossier author</td>\n",
       "      <td>2017-10-05 22:07:21.402</td>\n",
       "      <td>2017-10-05 22:03:50.000</td>\n",
       "      <td>41500</td>\n",
       "      <td>197.71</td>\n",
       "      <td>2017-10-05T22:28:13.927Z</td>\n",
       "      <td>7478</td>\n",
       "      <td>27644</td>\n",
       "      <td>6378</td>\n",
       "      <td>...</td>\n",
       "      <td>True</td>\n",
       "      <td>28813554.00</td>\n",
       "      <td>2017-10-05T22:15:08.000Z</td>\n",
       "      <td>105</td>\n",
       "      <td>45.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>9.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>44.00</td>\n",
       "      <td>89.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>379ec53f3e91218fdedbc34f3c1353d022721d34</th>\n",
       "      <td>http://www.cnn.com/2017/10/01/politics/donald-...</td>\n",
       "      <td>Trump: Tillerson 'wasting his time' negotiatin...</td>\n",
       "      <td>2017-10-01 14:52:21.832</td>\n",
       "      <td>2017-10-01 14:49:24.000</td>\n",
       "      <td>44896</td>\n",
       "      <td>145.64</td>\n",
       "      <td>2017-10-01T16:14:03.920Z</td>\n",
       "      <td>15331</td>\n",
       "      <td>22588</td>\n",
       "      <td>6977</td>\n",
       "      <td>...</td>\n",
       "      <td>True</td>\n",
       "      <td>28745597.00</td>\n",
       "      <td>2017-10-01T15:19:18.000Z</td>\n",
       "      <td>105</td>\n",
       "      <td>45.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>9.00</td>\n",
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       "      <td>44.00</td>\n",
       "      <td>89.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ca2cdf87d5f8fa84da0437cfa9274cd1df3cb1c5</th>\n",
       "      <td>http://www.cnn.com/2017/10/03/politics/russian...</td>\n",
       "      <td>Exclusive: Russian-linked Facebook ads targete...</td>\n",
       "      <td>2017-10-04 01:34:27.207</td>\n",
       "      <td>2017-10-04 01:30:07.000</td>\n",
       "      <td>56373</td>\n",
       "      <td>276.02</td>\n",
       "      <td>2017-10-04T01:45:10.551Z</td>\n",
       "      <td>12626</td>\n",
       "      <td>33241</td>\n",
       "      <td>10506</td>\n",
       "      <td>...</td>\n",
       "      <td>True</td>\n",
       "      <td>28795396.00</td>\n",
       "      <td>2017-10-04T01:37:10.000Z</td>\n",
       "      <td>105</td>\n",
       "      <td>47.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>7.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>42.00</td>\n",
       "      <td>89.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>02c0972c41194fb4cd15f19804aeb894cc2c5bee</th>\n",
       "      <td>https://www.washingtonpost.com/world/asia_paci...</td>\n",
       "      <td>AP PHOTOS: Portraits of Rohingya survivors of ...</td>\n",
       "      <td>2017-10-27 04:58:15.224</td>\n",
       "      <td>2017-10-27 04:53:31.000</td>\n",
       "      <td>0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>2017-10-27T05:09:12.445Z</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>False</td>\n",
       "      <td>nan</td>\n",
       "      <td>NaN</td>\n",
       "      <td>191</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
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       "    </tr>\n",
       "    <tr>\n",
       "      <th>5c9a06cf457cd2602d5cc3f89b773cc77c6ac968</th>\n",
       "      <td>https://www.theguardian.com/australia-news/vid...</td>\n",
       "      <td>Whistleblowers allege Crown casino tampered wi...</td>\n",
       "      <td>2017-10-18 05:40:03.973</td>\n",
       "      <td>2017-10-18 05:39:46.000</td>\n",
       "      <td>1</td>\n",
       "      <td>0.02</td>\n",
       "      <td>2017-10-18T06:51:09.099Z</td>\n",
       "      <td>0</td>\n",
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       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>False</td>\n",
       "      <td>nan</td>\n",
       "      <td>NaN</td>\n",
       "      <td>142</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
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       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3c5cde42b98c1493c6339db25cde00b3c22db267</th>\n",
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       "21baf75c0cee1455134ba03272544695a9632d43      Casualties reported after New York 'shooting'   \n",
       "ee3157d189708e28111bca2672b17c29164c3536  Puerto Rico's Government Just Admitted 911 Peo...   \n",
       "4eac773f3ebe0d94a0fa4a6b6670ddf917c2731a  Las Vegas Police Investigate Reports Of Active...   \n",
       "516109aeae85946b20f0815443503941a9377f91  George W. Bush just laid the smackdown on Trum...   \n",
       "cac2ab0eb67721d299e607b8f0fffd7231ea75d1      Mueller's team met with Russia dossier author   \n",
       "379ec53f3e91218fdedbc34f3c1353d022721d34  Trump: Tillerson 'wasting his time' negotiatin...   \n",
       "ca2cdf87d5f8fa84da0437cfa9274cd1df3cb1c5  Exclusive: Russian-linked Facebook ads targete...   \n",
       "...                                                                                     ...   \n",
       "02c0972c41194fb4cd15f19804aeb894cc2c5bee  AP PHOTOS: Portraits of Rohingya survivors of ...   \n",
       "5c9a06cf457cd2602d5cc3f89b773cc77c6ac968  Whistleblowers allege Crown casino tampered wi...   \n",
       "3c5cde42b98c1493c6339db25cde00b3c22db267                                  nbcnews:card_text   \n",
       "91482986a8d1514c8e4dfe4ba5421e9ed4a4e7ed  Welsh Development Bank chief will not be based...   \n",
       "eefc2e0e12b67df110332240509e65e95651ca4b  After 3K, Beltre wants 2018 in Texas to anothe...   \n",
       "80aca1202079bde5eb32962f06515b0f0bc4dca0                               Halloween at the zoo   \n",
       "1779d2c71fcf3e462aac8fe1c628f02d6b789f5d                                         Privileged   \n",
       "654e1e4f92b9f174cad4bbba83cae806bd24f3de  Markets Right Now: US stocks edged higher in e...   \n",
       "55e64897d16d13eae4f53b3b56b647f60ce1ab6c                               Top-secret JFK files   \n",
       "af63fd3495409c98948ab9364f8f411f909af1ad                                  nbcnews:card_text   \n",
       "bd3c218f72e56d810d95c0e73d30eb7de098d7e5  Australian casino denies lawmaker’s criminal a...   \n",
       "3812f835fdba0ae032cefa8741151163a99605ee  Griffin’s 3-pointer beats Blazers, keeps Clipp...   \n",
       "86924e65577ee3d3b7b815016b08e3e75538b4e3  \"The Man from Mesquite Was Not Discreet’ By Re...   \n",
       "c8121b18ed4fec985495254e8aee6db7e6d50df5        Houston-area “Tourniquet Killer” set to die   \n",
       "7a15a79697d14b7ad795d3ed74700d1cb5ce91b1  A year after 1st title since 1908, Cubs trail ...   \n",
       "c75ed341bea900137000eaa60445cd10df57cede  Perron leads Vegas past the Sabres in overtime...   \n",
       "f46fa5010355b1586993f4b8c485876f645b388b  Katy Perry shares bizarre video of cupping pro...   \n",
       "19a847cd1839b45086f13a4da14f18b4bbabb034  Couture scores twice in Sharks’ 5-2 victory ov...   \n",
       "0c480b0c0a89ec79422232747f480131b92f0d2f  Home sales for Calvert, Charles and St. Mary’s...   \n",
       "2a10f2a01a7fba6d11999773e61cdcf944ca2c3c                                  nbcnews:card_text   \n",
       "58227a10730242e3d915ac2b3388fafdaeb52e56  Alexandria launches campaign to promote Metror...   \n",
       "5b462c9f5a37417714123cbc18822bd6564e6a5e  76ers’ Fultz gets to make NBA debut at Wizards...   \n",
       "a01768152856e76a0ed39277e38d86a693fbe7bc  Women in California Capitol speak out against ...   \n",
       "cc465581129290ac85bde303ee8569636cdf9e96  Car bomb kills 4 police, 2 civilians in southw...   \n",
       "b5665edf2f09e3f0c53eb90958a81464bbc9b698   China’s Xi calls for more technology development   \n",
       "c2abd2a6fa5b760f9c3456efdc1ca9d635ce1ed9  Go for 2 or play for OT? How coaches make that...   \n",
       "2cb52cf6cf9b5f81cea9166fd15b9916ce5532fa  No. 13 Notre Dame dreams alive and well at sea...   \n",
       "a09d2a501db72426813643eb873fe2caa0a81848  Are Customers Finally Ready to Adopt Smart Hom...   \n",
       "dc2eda44b3595ed320b2bc8adc38db32cf1a8c10  Subaru investigates its own inspections after ...   \n",
       "563c25c593fb24594bbb4c00defa2c2122fea1dc  AP Source: Wyo. Senate race might see insurgen...   \n",
       "\n",
       "                                                      discovered  \\\n",
       "id                                                                 \n",
       "82f641a891db565edfcef82af5dac6e60f18dc29 2017-10-27 13:28:14.944   \n",
       "fb7f2c7fc2b3d5d441f187c2cc298eb68481caca 2017-10-02 05:58:13.020   \n",
       "55a653279260f78e8c3d8fdae5ac3ff000ff1a63 2017-10-02 22:13:24.653   \n",
       "67d0bda0783da4c5d2ce176c1d3144d21b226c7a 2017-10-30 11:58:15.661   \n",
       "f9ec6620251671f7010b07793542152080b97f63 2017-10-01 20:49:10.902   \n",
       "cec51f99475b0936b80e7e1f07661fd769850060 2017-10-08 17:58:20.413   \n",
       "d6c669a2a511a179c138c95cd00ecd21f67786ca 2017-10-16 22:31:22.572   \n",
       "a40b5a3781bcdbb51023839d1e504623829509f7 2017-10-25 20:40:31.730   \n",
       "6f31aba0d9c375c9b6658dba325de9ba6aab5472 2017-10-28 00:37:18.546   \n",
       "6a0116039bbc12a38eed333af50ac8ccbb14e530 2017-10-06 16:07:06.751   \n",
       "95a1f2bb7086f89ff2bf066faece9605d3843cee 2017-10-02 12:37:23.217   \n",
       "b0a7e0c7b10ee97b2901390f0ce1e495cc7608e3 2017-10-05 20:28:27.591   \n",
       "f075885c7f633014983f3a4dfa8a2568e3f30820 2017-10-30 01:34:21.416   \n",
       "bb779a59d0768a95e90a7064a4cc96d385802150 2017-10-02 06:43:21.668   \n",
       "fa25e376e29f7eff2f858ef404c04ccb1764fd96 2017-10-30 23:43:17.351   \n",
       "83f4006ad4366078fe5620632914e763dfed5d24 2017-10-13 19:31:28.678   \n",
       "bf9df1d59d28db1dc8a586a19bddec58c9dfcd56 2017-10-17 15:31:27.783   \n",
       "10f7302737a4fe288003babdfa2e9350e36556ff 2017-10-02 15:43:19.061   \n",
       "daff5a6de1600351e1301260c729478c9dc2e36a 2017-10-25 14:43:15.954   \n",
       "beab15b7777cc9d822f21d549f76bf12fcdb53a2 2017-10-31 19:43:20.020   \n",
       "d221e354b313ce4e5536c4a0dee1dfd7cca379f3 2017-10-09 11:52:23.501   \n",
       "80756bf5f41ea79c83dddf95acfea413cedc47a6 2017-10-02 10:34:10.208   \n",
       "3c40e0ffdf776c5bfef61de5ef7152eb00dc68d1 2017-10-13 03:01:31.361   \n",
       "21baf75c0cee1455134ba03272544695a9632d43 2017-10-31 19:37:10.279   \n",
       "ee3157d189708e28111bca2672b17c29164c3536 2017-10-27 22:34:23.096   \n",
       "4eac773f3ebe0d94a0fa4a6b6670ddf917c2731a 2017-10-02 05:59:14.138   \n",
       "516109aeae85946b20f0815443503941a9377f91 2017-10-19 18:53:18.568   \n",
       "cac2ab0eb67721d299e607b8f0fffd7231ea75d1 2017-10-05 22:07:21.402   \n",
       "379ec53f3e91218fdedbc34f3c1353d022721d34 2017-10-01 14:52:21.832   \n",
       "ca2cdf87d5f8fa84da0437cfa9274cd1df3cb1c5 2017-10-04 01:34:27.207   \n",
       "...                                                          ...   \n",
       "02c0972c41194fb4cd15f19804aeb894cc2c5bee 2017-10-27 04:58:15.224   \n",
       "5c9a06cf457cd2602d5cc3f89b773cc77c6ac968 2017-10-18 05:40:03.973   \n",
       "3c5cde42b98c1493c6339db25cde00b3c22db267 2017-10-05 13:43:19.752   \n",
       "91482986a8d1514c8e4dfe4ba5421e9ed4a4e7ed 2017-10-18 05:40:06.627   \n",
       "eefc2e0e12b67df110332240509e65e95651ca4b 2017-10-02 19:55:19.710   \n",
       "80aca1202079bde5eb32962f06515b0f0bc4dca0 2017-10-27 05:10:14.420   \n",
       "1779d2c71fcf3e462aac8fe1c628f02d6b789f5d 2017-10-02 20:04:25.114   \n",
       "654e1e4f92b9f174cad4bbba83cae806bd24f3de 2017-10-05 13:52:17.547   \n",
       "55e64897d16d13eae4f53b3b56b647f60ce1ab6c 2017-10-27 05:07:13.301   \n",
       "af63fd3495409c98948ab9364f8f411f909af1ad 2017-10-05 13:46:14.450   \n",
       "bd3c218f72e56d810d95c0e73d30eb7de098d7e5 2017-10-18 05:13:22.000   \n",
       "3812f835fdba0ae032cefa8741151163a99605ee 2017-10-27 05:07:17.833   \n",
       "86924e65577ee3d3b7b815016b08e3e75538b4e3 2017-10-02 20:04:30.044   \n",
       "c8121b18ed4fec985495254e8aee6db7e6d50df5 2017-10-18 05:13:21.269   \n",
       "7a15a79697d14b7ad795d3ed74700d1cb5ce91b1 2017-10-18 05:13:19.308   \n",
       "c75ed341bea900137000eaa60445cd10df57cede 2017-10-18 05:13:19.036   \n",
       "f46fa5010355b1586993f4b8c485876f645b388b 2017-10-18 05:16:21.443   \n",
       "19a847cd1839b45086f13a4da14f18b4bbabb034 2017-10-18 05:22:16.440   \n",
       "0c480b0c0a89ec79422232747f480131b92f0d2f 2017-10-05 13:52:15.357   \n",
       "2a10f2a01a7fba6d11999773e61cdcf944ca2c3c 2017-10-05 13:43:18.597   \n",
       "58227a10730242e3d915ac2b3388fafdaeb52e56 2017-10-18 05:34:20.280   \n",
       "5b462c9f5a37417714123cbc18822bd6564e6a5e 2017-10-18 05:34:22.200   \n",
       "a01768152856e76a0ed39277e38d86a693fbe7bc 2017-10-18 05:31:18.648   \n",
       "cc465581129290ac85bde303ee8569636cdf9e96 2017-10-18 05:34:23.107   \n",
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       "c2abd2a6fa5b760f9c3456efdc1ca9d635ce1ed9 2017-10-18 05:34:21.155   \n",
       "2cb52cf6cf9b5f81cea9166fd15b9916ce5532fa 2017-10-18 05:43:15.630   \n",
       "a09d2a501db72426813643eb873fe2caa0a81848 2017-10-18 05:46:22.312   \n",
       "dc2eda44b3595ed320b2bc8adc38db32cf1a8c10 2017-10-27 05:07:20.004   \n",
       "563c25c593fb24594bbb4c00defa2c2122fea1dc 2017-10-09 08:01:12.645   \n",
       "\n",
       "                                                       published  \\\n",
       "id                                                                 \n",
       "82f641a891db565edfcef82af5dac6e60f18dc29 2017-10-27 13:26:28.000   \n",
       "fb7f2c7fc2b3d5d441f187c2cc298eb68481caca 2017-10-02 05:55:50.000   \n",
       "55a653279260f78e8c3d8fdae5ac3ff000ff1a63 2017-10-02 22:08:01.000   \n",
       "67d0bda0783da4c5d2ce176c1d3144d21b226c7a 2017-10-30 11:55:36.000   \n",
       "f9ec6620251671f7010b07793542152080b97f63 2017-10-01 20:46:53.000   \n",
       "cec51f99475b0936b80e7e1f07661fd769850060 2017-10-08 17:54:50.000   \n",
       "d6c669a2a511a179c138c95cd00ecd21f67786ca 2017-10-16 22:29:14.000   \n",
       "a40b5a3781bcdbb51023839d1e504623829509f7 2017-10-25 20:38:10.000   \n",
       "6f31aba0d9c375c9b6658dba325de9ba6aab5472 2017-10-28 00:29:59.000   \n",
       "6a0116039bbc12a38eed333af50ac8ccbb14e530 2017-10-06 16:05:48.000   \n",
       "95a1f2bb7086f89ff2bf066faece9605d3843cee 2017-10-02 12:31:34.000   \n",
       "b0a7e0c7b10ee97b2901390f0ce1e495cc7608e3 2017-10-04 20:22:03.000   \n",
       "f075885c7f633014983f3a4dfa8a2568e3f30820 2017-10-30 01:32:42.000   \n",
       "bb779a59d0768a95e90a7064a4cc96d385802150 2017-10-02 06:40:33.000   \n",
       "fa25e376e29f7eff2f858ef404c04ccb1764fd96 2017-10-30 23:37:29.000   \n",
       "83f4006ad4366078fe5620632914e763dfed5d24 2017-10-13 19:29:10.000   \n",
       "bf9df1d59d28db1dc8a586a19bddec58c9dfcd56 2017-10-17 15:24:46.000   \n",
       "10f7302737a4fe288003babdfa2e9350e36556ff 2017-10-02 15:30:45.000   \n",
       "daff5a6de1600351e1301260c729478c9dc2e36a 2017-10-25 14:39:46.000   \n",
       "beab15b7777cc9d822f21d549f76bf12fcdb53a2 2017-10-31 19:38:30.000   \n",
       "d221e354b313ce4e5536c4a0dee1dfd7cca379f3 2017-10-09 11:49:24.000   \n",
       "80756bf5f41ea79c83dddf95acfea413cedc47a6 2017-10-02 10:18:42.000   \n",
       "3c40e0ffdf776c5bfef61de5ef7152eb00dc68d1 2017-10-13 02:56:41.000   \n",
       "21baf75c0cee1455134ba03272544695a9632d43 2017-10-31 19:34:57.000   \n",
       "ee3157d189708e28111bca2672b17c29164c3536 2017-10-27 21:53:21.000   \n",
       "4eac773f3ebe0d94a0fa4a6b6670ddf917c2731a 2017-10-02 05:55:25.000   \n",
       "516109aeae85946b20f0815443503941a9377f91 2017-10-19 18:49:39.000   \n",
       "cac2ab0eb67721d299e607b8f0fffd7231ea75d1 2017-10-05 22:03:50.000   \n",
       "379ec53f3e91218fdedbc34f3c1353d022721d34 2017-10-01 14:49:24.000   \n",
       "ca2cdf87d5f8fa84da0437cfa9274cd1df3cb1c5 2017-10-04 01:30:07.000   \n",
       "...                                                          ...   \n",
       "02c0972c41194fb4cd15f19804aeb894cc2c5bee 2017-10-27 04:53:31.000   \n",
       "5c9a06cf457cd2602d5cc3f89b773cc77c6ac968 2017-10-18 05:39:46.000   \n",
       "3c5cde42b98c1493c6339db25cde00b3c22db267 2017-10-05 13:41:53.000   \n",
       "91482986a8d1514c8e4dfe4ba5421e9ed4a4e7ed 2017-10-18 05:36:57.000   \n",
       "eefc2e0e12b67df110332240509e65e95651ca4b 2017-10-02 19:50:22.000   \n",
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       "55e64897d16d13eae4f53b3b56b647f60ce1ab6c 2017-10-27 05:03:47.000   \n",
       "af63fd3495409c98948ab9364f8f411f909af1ad 2017-10-05 13:43:20.000   \n",
       "bd3c218f72e56d810d95c0e73d30eb7de098d7e5 2017-10-18 05:08:14.000   \n",
       "3812f835fdba0ae032cefa8741151163a99605ee 2017-10-27 05:01:09.000   \n",
       "86924e65577ee3d3b7b815016b08e3e75538b4e3 2017-10-02 19:51:44.779   \n",
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       "7a15a79697d14b7ad795d3ed74700d1cb5ce91b1 2017-10-18 05:09:27.000   \n",
       "c75ed341bea900137000eaa60445cd10df57cede 2017-10-18 05:10:34.000   \n",
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       "58227a10730242e3d915ac2b3388fafdaeb52e56 2017-10-18 05:22:10.000   \n",
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       "a01768152856e76a0ed39277e38d86a693fbe7bc 2017-10-18 05:23:16.000   \n",
       "cc465581129290ac85bde303ee8569636cdf9e96 2017-10-18 05:25:15.000   \n",
       "b5665edf2f09e3f0c53eb90958a81464bbc9b698 2017-10-18 05:25:23.000   \n",
       "c2abd2a6fa5b760f9c3456efdc1ca9d635ce1ed9 2017-10-18 05:27:18.000   \n",
       "2cb52cf6cf9b5f81cea9166fd15b9916ce5532fa 2017-10-18 05:31:20.000   \n",
       "a09d2a501db72426813643eb873fe2caa0a81848 2017-10-18 05:33:28.519   \n",
       "dc2eda44b3595ed320b2bc8adc38db32cf1a8c10 2017-10-27 04:59:49.000   \n",
       "563c25c593fb24594bbb4c00defa2c2122fea1dc 2017-10-09 07:48:30.000   \n",
       "\n",
       "                                          fb_engagements  \\\n",
       "id                                                         \n",
       "82f641a891db565edfcef82af5dac6e60f18dc29          122017   \n",
       "fb7f2c7fc2b3d5d441f187c2cc298eb68481caca          155740   \n",
       "55a653279260f78e8c3d8fdae5ac3ff000ff1a63          121221   \n",
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       "f9ec6620251671f7010b07793542152080b97f63           92269   \n",
       "cec51f99475b0936b80e7e1f07661fd769850060          154384   \n",
       "d6c669a2a511a179c138c95cd00ecd21f67786ca           95905   \n",
       "a40b5a3781bcdbb51023839d1e504623829509f7          140824   \n",
       "6f31aba0d9c375c9b6658dba325de9ba6aab5472          676010   \n",
       "6a0116039bbc12a38eed333af50ac8ccbb14e530           47522   \n",
       "95a1f2bb7086f89ff2bf066faece9605d3843cee           67404   \n",
       "b0a7e0c7b10ee97b2901390f0ce1e495cc7608e3          120844   \n",
       "f075885c7f633014983f3a4dfa8a2568e3f30820           63217   \n",
       "bb779a59d0768a95e90a7064a4cc96d385802150          250916   \n",
       "fa25e376e29f7eff2f858ef404c04ccb1764fd96           79114   \n",
       "83f4006ad4366078fe5620632914e763dfed5d24           61063   \n",
       "bf9df1d59d28db1dc8a586a19bddec58c9dfcd56           71046   \n",
       "10f7302737a4fe288003babdfa2e9350e36556ff          246234   \n",
       "daff5a6de1600351e1301260c729478c9dc2e36a           82618   \n",
       "beab15b7777cc9d822f21d549f76bf12fcdb53a2          179977   \n",
       "d221e354b313ce4e5536c4a0dee1dfd7cca379f3           79676   \n",
       "80756bf5f41ea79c83dddf95acfea413cedc47a6          147698   \n",
       "3c40e0ffdf776c5bfef61de5ef7152eb00dc68d1           82624   \n",
       "21baf75c0cee1455134ba03272544695a9632d43           56934   \n",
       "ee3157d189708e28111bca2672b17c29164c3536           43600   \n",
       "4eac773f3ebe0d94a0fa4a6b6670ddf917c2731a          369539   \n",
       "516109aeae85946b20f0815443503941a9377f91           92682   \n",
       "cac2ab0eb67721d299e607b8f0fffd7231ea75d1           41500   \n",
       "379ec53f3e91218fdedbc34f3c1353d022721d34           44896   \n",
       "ca2cdf87d5f8fa84da0437cfa9274cd1df3cb1c5           56373   \n",
       "...                                                  ...   \n",
       "02c0972c41194fb4cd15f19804aeb894cc2c5bee               0   \n",
       "5c9a06cf457cd2602d5cc3f89b773cc77c6ac968               1   \n",
       "3c5cde42b98c1493c6339db25cde00b3c22db267               0   \n",
       "91482986a8d1514c8e4dfe4ba5421e9ed4a4e7ed               1   \n",
       "eefc2e0e12b67df110332240509e65e95651ca4b               0   \n",
       "80aca1202079bde5eb32962f06515b0f0bc4dca0               0   \n",
       "1779d2c71fcf3e462aac8fe1c628f02d6b789f5d               0   \n",
       "654e1e4f92b9f174cad4bbba83cae806bd24f3de               0   \n",
       "55e64897d16d13eae4f53b3b56b647f60ce1ab6c               0   \n",
       "af63fd3495409c98948ab9364f8f411f909af1ad               0   \n",
       "bd3c218f72e56d810d95c0e73d30eb7de098d7e5               0   \n",
       "3812f835fdba0ae032cefa8741151163a99605ee               0   \n",
       "86924e65577ee3d3b7b815016b08e3e75538b4e3               0   \n",
       "c8121b18ed4fec985495254e8aee6db7e6d50df5               0   \n",
       "7a15a79697d14b7ad795d3ed74700d1cb5ce91b1               0   \n",
       "c75ed341bea900137000eaa60445cd10df57cede               0   \n",
       "f46fa5010355b1586993f4b8c485876f645b388b               1   \n",
       "19a847cd1839b45086f13a4da14f18b4bbabb034               0   \n",
       "0c480b0c0a89ec79422232747f480131b92f0d2f               0   \n",
       "2a10f2a01a7fba6d11999773e61cdcf944ca2c3c               0   \n",
       "58227a10730242e3d915ac2b3388fafdaeb52e56               0   \n",
       "5b462c9f5a37417714123cbc18822bd6564e6a5e               1   \n",
       "a01768152856e76a0ed39277e38d86a693fbe7bc               1   \n",
       "cc465581129290ac85bde303ee8569636cdf9e96               0   \n",
       "b5665edf2f09e3f0c53eb90958a81464bbc9b698               0   \n",
       "c2abd2a6fa5b760f9c3456efdc1ca9d635ce1ed9               0   \n",
       "2cb52cf6cf9b5f81cea9166fd15b9916ce5532fa               0   \n",
       "a09d2a501db72426813643eb873fe2caa0a81848               1   \n",
       "dc2eda44b3595ed320b2bc8adc38db32cf1a8c10               0   \n",
       "563c25c593fb24594bbb4c00defa2c2122fea1dc               0   \n",
       "\n",
       "                                          fb_max_engagements_per_min  \\\n",
       "id                                                                     \n",
       "82f641a891db565edfcef82af5dac6e60f18dc29                      735.45   \n",
       "fb7f2c7fc2b3d5d441f187c2cc298eb68481caca                      282.82   \n",
       "55a653279260f78e8c3d8fdae5ac3ff000ff1a63                      208.76   \n",
       "67d0bda0783da4c5d2ce176c1d3144d21b226c7a                      678.74   \n",
       "f9ec6620251671f7010b07793542152080b97f63                      283.28   \n",
       "cec51f99475b0936b80e7e1f07661fd769850060                      515.68   \n",
       "d6c669a2a511a179c138c95cd00ecd21f67786ca                      225.62   \n",
       "a40b5a3781bcdbb51023839d1e504623829509f7                      764.35   \n",
       "6f31aba0d9c375c9b6658dba325de9ba6aab5472                     4464.02   \n",
       "6a0116039bbc12a38eed333af50ac8ccbb14e530                      156.57   \n",
       "95a1f2bb7086f89ff2bf066faece9605d3843cee                      171.83   \n",
       "b0a7e0c7b10ee97b2901390f0ce1e495cc7608e3                      735.92   \n",
       "f075885c7f633014983f3a4dfa8a2568e3f30820                      277.41   \n",
       "bb779a59d0768a95e90a7064a4cc96d385802150                      577.52   \n",
       "fa25e376e29f7eff2f858ef404c04ccb1764fd96                      300.46   \n",
       "83f4006ad4366078fe5620632914e763dfed5d24                      131.60   \n",
       "bf9df1d59d28db1dc8a586a19bddec58c9dfcd56                      241.69   \n",
       "10f7302737a4fe288003babdfa2e9350e36556ff                     1436.61   \n",
       "daff5a6de1600351e1301260c729478c9dc2e36a                      507.52   \n",
       "beab15b7777cc9d822f21d549f76bf12fcdb53a2                      545.86   \n",
       "d221e354b313ce4e5536c4a0dee1dfd7cca379f3                      153.43   \n",
       "80756bf5f41ea79c83dddf95acfea413cedc47a6                      420.10   \n",
       "3c40e0ffdf776c5bfef61de5ef7152eb00dc68d1                      200.70   \n",
       "21baf75c0cee1455134ba03272544695a9632d43                      336.38   \n",
       "ee3157d189708e28111bca2672b17c29164c3536                       38.37   \n",
       "4eac773f3ebe0d94a0fa4a6b6670ddf917c2731a                      945.57   \n",
       "516109aeae85946b20f0815443503941a9377f91                      261.19   \n",
       "cac2ab0eb67721d299e607b8f0fffd7231ea75d1                      197.71   \n",
       "379ec53f3e91218fdedbc34f3c1353d022721d34                      145.64   \n",
       "ca2cdf87d5f8fa84da0437cfa9274cd1df3cb1c5                      276.02   \n",
       "...                                                              ...   \n",
       "02c0972c41194fb4cd15f19804aeb894cc2c5bee                        0.00   \n",
       "5c9a06cf457cd2602d5cc3f89b773cc77c6ac968                        0.02   \n",
       "3c5cde42b98c1493c6339db25cde00b3c22db267                        0.00   \n",
       "91482986a8d1514c8e4dfe4ba5421e9ed4a4e7ed                        0.02   \n",
       "eefc2e0e12b67df110332240509e65e95651ca4b                        0.00   \n",
       "80aca1202079bde5eb32962f06515b0f0bc4dca0                        0.00   \n",
       "1779d2c71fcf3e462aac8fe1c628f02d6b789f5d                        0.00   \n",
       "654e1e4f92b9f174cad4bbba83cae806bd24f3de                        0.00   \n",
       "55e64897d16d13eae4f53b3b56b647f60ce1ab6c                        0.00   \n",
       "af63fd3495409c98948ab9364f8f411f909af1ad                        0.00   \n",
       "bd3c218f72e56d810d95c0e73d30eb7de098d7e5                        0.00   \n",
       "3812f835fdba0ae032cefa8741151163a99605ee                        0.00   \n",
       "86924e65577ee3d3b7b815016b08e3e75538b4e3                        0.00   \n",
       "c8121b18ed4fec985495254e8aee6db7e6d50df5                        0.00   \n",
       "7a15a79697d14b7ad795d3ed74700d1cb5ce91b1                        0.00   \n",
       "c75ed341bea900137000eaa60445cd10df57cede                        0.00   \n",
       "f46fa5010355b1586993f4b8c485876f645b388b                        0.02   \n",
       "19a847cd1839b45086f13a4da14f18b4bbabb034                        0.00   \n",
       "0c480b0c0a89ec79422232747f480131b92f0d2f                        0.00   \n",
       "2a10f2a01a7fba6d11999773e61cdcf944ca2c3c                        0.00   \n",
       "58227a10730242e3d915ac2b3388fafdaeb52e56                        0.00   \n",
       "5b462c9f5a37417714123cbc18822bd6564e6a5e                        0.02   \n",
       "a01768152856e76a0ed39277e38d86a693fbe7bc                        0.02   \n",
       "cc465581129290ac85bde303ee8569636cdf9e96                        0.00   \n",
       "b5665edf2f09e3f0c53eb90958a81464bbc9b698                        0.00   \n",
       "c2abd2a6fa5b760f9c3456efdc1ca9d635ce1ed9                        0.00   \n",
       "2cb52cf6cf9b5f81cea9166fd15b9916ce5532fa                        0.00   \n",
       "a09d2a501db72426813643eb873fe2caa0a81848                        0.02   \n",
       "dc2eda44b3595ed320b2bc8adc38db32cf1a8c10                        0.00   \n",
       "563c25c593fb24594bbb4c00defa2c2122fea1dc                        0.00   \n",
       "\n",
       "                                         fb_max_engagements_per_min_time  \\\n",
       "id                                                                         \n",
       "82f641a891db565edfcef82af5dac6e60f18dc29        2017-10-27T13:49:10.398Z   \n",
       "fb7f2c7fc2b3d5d441f187c2cc298eb68481caca        2017-10-02T12:02:05.884Z   \n",
       "55a653279260f78e8c3d8fdae5ac3ff000ff1a63        2017-10-03T00:26:03.622Z   \n",
       "67d0bda0783da4c5d2ce176c1d3144d21b226c7a        2017-10-30T12:10:03.568Z   \n",
       "f9ec6620251671f7010b07793542152080b97f63        2017-10-02T02:12:11.055Z   \n",
       "cec51f99475b0936b80e7e1f07661fd769850060        2017-10-08T18:40:09.200Z   \n",
       "d6c669a2a511a179c138c95cd00ecd21f67786ca        2017-10-17T18:04:09.923Z   \n",
       "a40b5a3781bcdbb51023839d1e504623829509f7        2017-10-26T15:09:08.794Z   \n",
       "6f31aba0d9c375c9b6658dba325de9ba6aab5472        2017-10-28T01:09:09.274Z   \n",
       "6a0116039bbc12a38eed333af50ac8ccbb14e530        2017-10-06T18:39:06.354Z   \n",
       "95a1f2bb7086f89ff2bf066faece9605d3843cee        2017-10-02T13:59:07.658Z   \n",
       "b0a7e0c7b10ee97b2901390f0ce1e495cc7608e3        2017-10-06T05:05:10.751Z   \n",
       "f075885c7f633014983f3a4dfa8a2568e3f30820        2017-10-30T03:07:10.078Z   \n",
       "bb779a59d0768a95e90a7064a4cc96d385802150        2017-10-02T12:56:06.116Z   \n",
       "fa25e376e29f7eff2f858ef404c04ccb1764fd96        2017-10-31T01:47:07.847Z   \n",
       "83f4006ad4366078fe5620632914e763dfed5d24        2017-10-14T06:21:11.198Z   \n",
       "bf9df1d59d28db1dc8a586a19bddec58c9dfcd56        2017-10-17T16:45:09.863Z   \n",
       "10f7302737a4fe288003babdfa2e9350e36556ff        2017-10-03T17:06:12.166Z   \n",
       "daff5a6de1600351e1301260c729478c9dc2e36a        2017-10-25T15:15:11.832Z   \n",
       "beab15b7777cc9d822f21d549f76bf12fcdb53a2        2017-10-31T21:07:09.102Z   \n",
       "d221e354b313ce4e5536c4a0dee1dfd7cca379f3        2017-10-10T01:16:09.079Z   \n",
       "80756bf5f41ea79c83dddf95acfea413cedc47a6        2017-10-03T07:02:10.022Z   \n",
       "3c40e0ffdf776c5bfef61de5ef7152eb00dc68d1        2017-10-13T03:33:11.986Z   \n",
       "21baf75c0cee1455134ba03272544695a9632d43        2017-10-31T19:48:11.900Z   \n",
       "ee3157d189708e28111bca2672b17c29164c3536        2017-10-28T20:34:06.012Z   \n",
       "4eac773f3ebe0d94a0fa4a6b6670ddf917c2731a        2017-10-02T12:44:12.235Z   \n",
       "516109aeae85946b20f0815443503941a9377f91        2017-10-19T23:43:06.164Z   \n",
       "cac2ab0eb67721d299e607b8f0fffd7231ea75d1        2017-10-05T22:28:13.927Z   \n",
       "379ec53f3e91218fdedbc34f3c1353d022721d34        2017-10-01T16:14:03.920Z   \n",
       "ca2cdf87d5f8fa84da0437cfa9274cd1df3cb1c5        2017-10-04T01:45:10.551Z   \n",
       "...                                                                  ...   \n",
       "02c0972c41194fb4cd15f19804aeb894cc2c5bee        2017-10-27T05:09:12.445Z   \n",
       "5c9a06cf457cd2602d5cc3f89b773cc77c6ac968        2017-10-18T06:51:09.099Z   \n",
       "3c5cde42b98c1493c6339db25cde00b3c22db267        2017-10-05T14:55:09.510Z   \n",
       "91482986a8d1514c8e4dfe4ba5421e9ed4a4e7ed        2017-10-18T07:51:11.799Z   \n",
       "eefc2e0e12b67df110332240509e65e95651ca4b        2017-10-03T01:11:10.085Z   \n",
       "80aca1202079bde5eb32962f06515b0f0bc4dca0        2017-10-27T05:22:06.633Z   \n",
       "1779d2c71fcf3e462aac8fe1c628f02d6b789f5d        2017-10-03T01:18:11.551Z   \n",
       "654e1e4f92b9f174cad4bbba83cae806bd24f3de        2017-10-05T15:04:10.354Z   \n",
       "55e64897d16d13eae4f53b3b56b647f60ce1ab6c        2017-10-27T05:19:05.694Z   \n",
       "af63fd3495409c98948ab9364f8f411f909af1ad        2017-10-05T14:58:07.471Z   \n",
       "bd3c218f72e56d810d95c0e73d30eb7de098d7e5        2017-10-18T05:24:09.122Z   \n",
       "3812f835fdba0ae032cefa8741151163a99605ee        2017-10-27T05:19:05.696Z   \n",
       "86924e65577ee3d3b7b815016b08e3e75538b4e3        2017-10-03T01:18:11.561Z   \n",
       "c8121b18ed4fec985495254e8aee6db7e6d50df5        2017-10-18T05:24:09.121Z   \n",
       "7a15a79697d14b7ad795d3ed74700d1cb5ce91b1        2017-10-18T05:24:09.120Z   \n",
       "c75ed341bea900137000eaa60445cd10df57cede        2017-10-18T05:24:09.118Z   \n",
       "f46fa5010355b1586993f4b8c485876f645b388b        2017-10-18T18:33:09.907Z   \n",
       "19a847cd1839b45086f13a4da14f18b4bbabb034        2017-10-18T05:33:10.876Z   \n",
       "0c480b0c0a89ec79422232747f480131b92f0d2f        2017-10-05T15:04:10.351Z   \n",
       "2a10f2a01a7fba6d11999773e61cdcf944ca2c3c        2017-10-05T14:55:09.509Z   \n",
       "58227a10730242e3d915ac2b3388fafdaeb52e56        2017-10-18T05:46:06.441Z   \n",
       "5b462c9f5a37417714123cbc18822bd6564e6a5e        2017-10-18T08:47:11.413Z   \n",
       "a01768152856e76a0ed39277e38d86a693fbe7bc        2017-10-18T16:46:11.233Z   \n",
       "cc465581129290ac85bde303ee8569636cdf9e96        2017-10-18T05:46:06.445Z   \n",
       "b5665edf2f09e3f0c53eb90958a81464bbc9b698        2017-10-18T05:46:06.446Z   \n",
       "c2abd2a6fa5b760f9c3456efdc1ca9d635ce1ed9        2017-10-18T05:46:06.443Z   \n",
       "2cb52cf6cf9b5f81cea9166fd15b9916ce5532fa        2017-10-18T05:54:07.811Z   \n",
       "a09d2a501db72426813643eb873fe2caa0a81848        2017-10-18T08:58:03.893Z   \n",
       "dc2eda44b3595ed320b2bc8adc38db32cf1a8c10        2017-10-27T05:19:05.698Z   \n",
       "563c25c593fb24594bbb4c00defa2c2122fea1dc        2017-10-09T19:16:11.987Z   \n",
       "\n",
       "                                          fb_comments  fb_reactions  \\\n",
       "id                                                                    \n",
       "82f641a891db565edfcef82af5dac6e60f18dc29        25016         82794   \n",
       "fb7f2c7fc2b3d5d441f187c2cc298eb68481caca        36936         96254   \n",
       "55a653279260f78e8c3d8fdae5ac3ff000ff1a63        10651         96865   \n",
       "67d0bda0783da4c5d2ce176c1d3144d21b226c7a        47714         92136   \n",
       "f9ec6620251671f7010b07793542152080b97f63        11378         71867   \n",
       "cec51f99475b0936b80e7e1f07661fd769850060        64195         77072   \n",
       "d6c669a2a511a179c138c95cd00ecd21f67786ca        16034         63684   \n",
       "a40b5a3781bcdbb51023839d1e504623829509f7        71842         53756   \n",
       "6f31aba0d9c375c9b6658dba325de9ba6aab5472       173337        425374   \n",
       "6a0116039bbc12a38eed333af50ac8ccbb14e530        14732         28303   \n",
       "95a1f2bb7086f89ff2bf066faece9605d3843cee        23031         34768   \n",
       "b0a7e0c7b10ee97b2901390f0ce1e495cc7608e3        36491         58391   \n",
       "f075885c7f633014983f3a4dfa8a2568e3f30820        28302         28576   \n",
       "bb779a59d0768a95e90a7064a4cc96d385802150        41731        178605   \n",
       "fa25e376e29f7eff2f858ef404c04ccb1764fd96        13042         61458   \n",
       "83f4006ad4366078fe5620632914e763dfed5d24         3836         53852   \n",
       "bf9df1d59d28db1dc8a586a19bddec58c9dfcd56        24910         40669   \n",
       "10f7302737a4fe288003babdfa2e9350e36556ff        15576        193415   \n",
       "daff5a6de1600351e1301260c729478c9dc2e36a        10435         56692   \n",
       "beab15b7777cc9d822f21d549f76bf12fcdb53a2        38732        105983   \n",
       "d221e354b313ce4e5536c4a0dee1dfd7cca379f3        20985         48458   \n",
       "80756bf5f41ea79c83dddf95acfea413cedc47a6        12795        113076   \n",
       "3c40e0ffdf776c5bfef61de5ef7152eb00dc68d1        31282         41245   \n",
       "21baf75c0cee1455134ba03272544695a9632d43        10368         33744   \n",
       "ee3157d189708e28111bca2672b17c29164c3536         4928         27727   \n",
       "4eac773f3ebe0d94a0fa4a6b6670ddf917c2731a        76304        232393   \n",
       "516109aeae85946b20f0815443503941a9377f91        14364         69760   \n",
       "cac2ab0eb67721d299e607b8f0fffd7231ea75d1         7478         27644   \n",
       "379ec53f3e91218fdedbc34f3c1353d022721d34        15331         22588   \n",
       "ca2cdf87d5f8fa84da0437cfa9274cd1df3cb1c5        12626         33241   \n",
       "...                                               ...           ...   \n",
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       "b5665edf2f09e3f0c53eb90958a81464bbc9b698            0             0   \n",
       "c2abd2a6fa5b760f9c3456efdc1ca9d635ce1ed9            0             0   \n",
       "2cb52cf6cf9b5f81cea9166fd15b9916ce5532fa            0             0   \n",
       "a09d2a501db72426813643eb873fe2caa0a81848            0             0   \n",
       "dc2eda44b3595ed320b2bc8adc38db32cf1a8c10            0             0   \n",
       "563c25c593fb24594bbb4c00defa2c2122fea1dc            0             0   \n",
       "\n",
       "                                          fb_shares       ...         \\\n",
       "id                                                        ...          \n",
       "82f641a891db565edfcef82af5dac6e60f18dc29      14207       ...          \n",
       "fb7f2c7fc2b3d5d441f187c2cc298eb68481caca      22550       ...          \n",
       "55a653279260f78e8c3d8fdae5ac3ff000ff1a63      13705       ...          \n",
       "67d0bda0783da4c5d2ce176c1d3144d21b226c7a      23666       ...          \n",
       "f9ec6620251671f7010b07793542152080b97f63       9024       ...          \n",
       "cec51f99475b0936b80e7e1f07661fd769850060      13117       ...          \n",
       "d6c669a2a511a179c138c95cd00ecd21f67786ca      16187       ...          \n",
       "a40b5a3781bcdbb51023839d1e504623829509f7      15226       ...          \n",
       "6f31aba0d9c375c9b6658dba325de9ba6aab5472      77299       ...          \n",
       "6a0116039bbc12a38eed333af50ac8ccbb14e530       4487       ...          \n",
       "95a1f2bb7086f89ff2bf066faece9605d3843cee       9605       ...          \n",
       "b0a7e0c7b10ee97b2901390f0ce1e495cc7608e3      25962       ...          \n",
       "f075885c7f633014983f3a4dfa8a2568e3f30820       6339       ...          \n",
       "bb779a59d0768a95e90a7064a4cc96d385802150      30580       ...          \n",
       "fa25e376e29f7eff2f858ef404c04ccb1764fd96       4614       ...          \n",
       "83f4006ad4366078fe5620632914e763dfed5d24       3375       ...          \n",
       "bf9df1d59d28db1dc8a586a19bddec58c9dfcd56       5467       ...          \n",
       "10f7302737a4fe288003babdfa2e9350e36556ff      37243       ...          \n",
       "daff5a6de1600351e1301260c729478c9dc2e36a      15491       ...          \n",
       "beab15b7777cc9d822f21d549f76bf12fcdb53a2      35262       ...          \n",
       "d221e354b313ce4e5536c4a0dee1dfd7cca379f3      10233       ...          \n",
       "80756bf5f41ea79c83dddf95acfea413cedc47a6      21827       ...          \n",
       "3c40e0ffdf776c5bfef61de5ef7152eb00dc68d1      10097       ...          \n",
       "21baf75c0cee1455134ba03272544695a9632d43      12822       ...          \n",
       "ee3157d189708e28111bca2672b17c29164c3536      10945       ...          \n",
       "4eac773f3ebe0d94a0fa4a6b6670ddf917c2731a      60842       ...          \n",
       "516109aeae85946b20f0815443503941a9377f91       8558       ...          \n",
       "cac2ab0eb67721d299e607b8f0fffd7231ea75d1       6378       ...          \n",
       "379ec53f3e91218fdedbc34f3c1353d022721d34       6977       ...          \n",
       "ca2cdf87d5f8fa84da0437cfa9274cd1df3cb1c5      10506       ...          \n",
       "...                                             ...       ...          \n",
       "02c0972c41194fb4cd15f19804aeb894cc2c5bee          0       ...          \n",
       "5c9a06cf457cd2602d5cc3f89b773cc77c6ac968          1       ...          \n",
       "3c5cde42b98c1493c6339db25cde00b3c22db267          0       ...          \n",
       "91482986a8d1514c8e4dfe4ba5421e9ed4a4e7ed          1       ...          \n",
       "eefc2e0e12b67df110332240509e65e95651ca4b          0       ...          \n",
       "80aca1202079bde5eb32962f06515b0f0bc4dca0          0       ...          \n",
       "1779d2c71fcf3e462aac8fe1c628f02d6b789f5d          0       ...          \n",
       "654e1e4f92b9f174cad4bbba83cae806bd24f3de          0       ...          \n",
       "55e64897d16d13eae4f53b3b56b647f60ce1ab6c          0       ...          \n",
       "af63fd3495409c98948ab9364f8f411f909af1ad          0       ...          \n",
       "bd3c218f72e56d810d95c0e73d30eb7de098d7e5          0       ...          \n",
       "3812f835fdba0ae032cefa8741151163a99605ee          0       ...          \n",
       "86924e65577ee3d3b7b815016b08e3e75538b4e3          0       ...          \n",
       "c8121b18ed4fec985495254e8aee6db7e6d50df5          0       ...          \n",
       "7a15a79697d14b7ad795d3ed74700d1cb5ce91b1          0       ...          \n",
       "c75ed341bea900137000eaa60445cd10df57cede          0       ...          \n",
       "f46fa5010355b1586993f4b8c485876f645b388b          1       ...          \n",
       "19a847cd1839b45086f13a4da14f18b4bbabb034          0       ...          \n",
       "0c480b0c0a89ec79422232747f480131b92f0d2f          0       ...          \n",
       "2a10f2a01a7fba6d11999773e61cdcf944ca2c3c          0       ...          \n",
       "58227a10730242e3d915ac2b3388fafdaeb52e56          0       ...          \n",
       "5b462c9f5a37417714123cbc18822bd6564e6a5e          1       ...          \n",
       "a01768152856e76a0ed39277e38d86a693fbe7bc          1       ...          \n",
       "cc465581129290ac85bde303ee8569636cdf9e96          0       ...          \n",
       "b5665edf2f09e3f0c53eb90958a81464bbc9b698          0       ...          \n",
       "c2abd2a6fa5b760f9c3456efdc1ca9d635ce1ed9          0       ...          \n",
       "2cb52cf6cf9b5f81cea9166fd15b9916ce5532fa          0       ...          \n",
       "a09d2a501db72426813643eb873fe2caa0a81848          1       ...          \n",
       "dc2eda44b3595ed320b2bc8adc38db32cf1a8c10          0       ...          \n",
       "563c25c593fb24594bbb4c00defa2c2122fea1dc          0       ...          \n",
       "\n",
       "                                         fb_brand_page fb_brand_page_likes  \\\n",
       "id                                                                           \n",
       "82f641a891db565edfcef82af5dac6e60f18dc29          True         44557554.00   \n",
       "fb7f2c7fc2b3d5d441f187c2cc298eb68481caca          True         44231064.00   \n",
       "55a653279260f78e8c3d8fdae5ac3ff000ff1a63          True         28779427.00   \n",
       "67d0bda0783da4c5d2ce176c1d3144d21b226c7a          True         29101437.00   \n",
       "f9ec6620251671f7010b07793542152080b97f63          True         44223789.00   \n",
       "cec51f99475b0936b80e7e1f07661fd769850060          True         28829396.00   \n",
       "d6c669a2a511a179c138c95cd00ecd21f67786ca          True         29040951.00   \n",
       "a40b5a3781bcdbb51023839d1e504623829509f7          True          2746668.00   \n",
       "6f31aba0d9c375c9b6658dba325de9ba6aab5472          True         29089089.00   \n",
       "6a0116039bbc12a38eed333af50ac8ccbb14e530          True         44281131.00   \n",
       "95a1f2bb7086f89ff2bf066faece9605d3843cee          True         28768865.00   \n",
       "b0a7e0c7b10ee97b2901390f0ce1e495cc7608e3          True          2713110.00   \n",
       "f075885c7f633014983f3a4dfa8a2568e3f30820          True          2749565.00   \n",
       "bb779a59d0768a95e90a7064a4cc96d385802150          True         28767961.00   \n",
       "fa25e376e29f7eff2f858ef404c04ccb1764fd96          True         29102689.00   \n",
       "83f4006ad4366078fe5620632914e763dfed5d24          True         29025532.00   \n",
       "bf9df1d59d28db1dc8a586a19bddec58c9dfcd56          True         29044379.00   \n",
       "10f7302737a4fe288003babdfa2e9350e36556ff          True          2710339.00   \n",
       "daff5a6de1600351e1301260c729478c9dc2e36a          True         44530330.00   \n",
       "beab15b7777cc9d822f21d549f76bf12fcdb53a2          True         29107811.00   \n",
       "d221e354b313ce4e5536c4a0dee1dfd7cca379f3          True         28832711.00   \n",
       "80756bf5f41ea79c83dddf95acfea413cedc47a6          True          2709326.00   \n",
       "3c40e0ffdf776c5bfef61de5ef7152eb00dc68d1          True         29018649.00   \n",
       "21baf75c0cee1455134ba03272544695a9632d43          True         44596174.00   \n",
       "ee3157d189708e28111bca2672b17c29164c3536          True          2748557.00   \n",
       "4eac773f3ebe0d94a0fa4a6b6670ddf917c2731a          True          9751564.00   \n",
       "516109aeae85946b20f0815443503941a9377f91          True         29056712.00   \n",
       "cac2ab0eb67721d299e607b8f0fffd7231ea75d1          True         28813554.00   \n",
       "379ec53f3e91218fdedbc34f3c1353d022721d34          True         28745597.00   \n",
       "ca2cdf87d5f8fa84da0437cfa9274cd1df3cb1c5          True         28795396.00   \n",
       "...                                                ...                 ...   \n",
       "02c0972c41194fb4cd15f19804aeb894cc2c5bee         False                 nan   \n",
       "5c9a06cf457cd2602d5cc3f89b773cc77c6ac968         False                 nan   \n",
       "3c5cde42b98c1493c6339db25cde00b3c22db267         False                 nan   \n",
       "91482986a8d1514c8e4dfe4ba5421e9ed4a4e7ed         False                 nan   \n",
       "eefc2e0e12b67df110332240509e65e95651ca4b         False                 nan   \n",
       "80aca1202079bde5eb32962f06515b0f0bc4dca0         False                 nan   \n",
       "1779d2c71fcf3e462aac8fe1c628f02d6b789f5d         False                 nan   \n",
       "654e1e4f92b9f174cad4bbba83cae806bd24f3de         False                 nan   \n",
       "55e64897d16d13eae4f53b3b56b647f60ce1ab6c         False                 nan   \n",
       "af63fd3495409c98948ab9364f8f411f909af1ad         False                 nan   \n",
       "bd3c218f72e56d810d95c0e73d30eb7de098d7e5         False                 nan   \n",
       "3812f835fdba0ae032cefa8741151163a99605ee         False                 nan   \n",
       "86924e65577ee3d3b7b815016b08e3e75538b4e3         False                 nan   \n",
       "c8121b18ed4fec985495254e8aee6db7e6d50df5         False                 nan   \n",
       "7a15a79697d14b7ad795d3ed74700d1cb5ce91b1         False                 nan   \n",
       "c75ed341bea900137000eaa60445cd10df57cede         False                 nan   \n",
       "f46fa5010355b1586993f4b8c485876f645b388b         False                 nan   \n",
       "19a847cd1839b45086f13a4da14f18b4bbabb034         False                 nan   \n",
       "0c480b0c0a89ec79422232747f480131b92f0d2f         False                 nan   \n",
       "2a10f2a01a7fba6d11999773e61cdcf944ca2c3c         False                 nan   \n",
       "58227a10730242e3d915ac2b3388fafdaeb52e56         False                 nan   \n",
       "5b462c9f5a37417714123cbc18822bd6564e6a5e         False                 nan   \n",
       "a01768152856e76a0ed39277e38d86a693fbe7bc         False                 nan   \n",
       "cc465581129290ac85bde303ee8569636cdf9e96         False                 nan   \n",
       "b5665edf2f09e3f0c53eb90958a81464bbc9b698         False                 nan   \n",
       "c2abd2a6fa5b760f9c3456efdc1ca9d635ce1ed9         False                 nan   \n",
       "2cb52cf6cf9b5f81cea9166fd15b9916ce5532fa         False                 nan   \n",
       "a09d2a501db72426813643eb873fe2caa0a81848         False                 nan   \n",
       "dc2eda44b3595ed320b2bc8adc38db32cf1a8c10         False                 nan   \n",
       "563c25c593fb24594bbb4c00defa2c2122fea1dc         False                 nan   \n",
       "\n",
       "                                                fb_brand_page_time  \\\n",
       "id                                                                   \n",
       "82f641a891db565edfcef82af5dac6e60f18dc29  2017-10-27T13:36:37.000Z   \n",
       "fb7f2c7fc2b3d5d441f187c2cc298eb68481caca  2017-10-02T10:52:53.000Z   \n",
       "55a653279260f78e8c3d8fdae5ac3ff000ff1a63  2017-10-02T23:30:10.000Z   \n",
       "67d0bda0783da4c5d2ce176c1d3144d21b226c7a  2017-10-30T11:57:37.000Z   \n",
       "f9ec6620251671f7010b07793542152080b97f63  2017-10-02T01:52:48.000Z   \n",
       "cec51f99475b0936b80e7e1f07661fd769850060  2017-10-08T18:21:38.000Z   \n",
       "d6c669a2a511a179c138c95cd00ecd21f67786ca  2017-10-17T02:29:12.000Z   \n",
       "a40b5a3781bcdbb51023839d1e504623829509f7  2017-10-25T23:34:00.000Z   \n",
       "6f31aba0d9c375c9b6658dba325de9ba6aab5472  2017-10-28T00:46:40.000Z   \n",
       "6a0116039bbc12a38eed333af50ac8ccbb14e530  2017-10-06T18:28:26.000Z   \n",
       "95a1f2bb7086f89ff2bf066faece9605d3843cee  2017-10-02T13:44:02.000Z   \n",
       "b0a7e0c7b10ee97b2901390f0ce1e495cc7608e3  2017-10-05T21:11:19.000Z   \n",
       "f075885c7f633014983f3a4dfa8a2568e3f30820  2017-10-30T02:13:58.000Z   \n",
       "bb779a59d0768a95e90a7064a4cc96d385802150  2017-10-02T12:45:14.000Z   \n",
       "fa25e376e29f7eff2f858ef404c04ccb1764fd96  2017-10-31T01:31:10.000Z   \n",
       "83f4006ad4366078fe5620632914e763dfed5d24  2017-10-14T06:00:28.000Z   \n",
       "bf9df1d59d28db1dc8a586a19bddec58c9dfcd56  2017-10-17T16:30:24.000Z   \n",
       "10f7302737a4fe288003babdfa2e9350e36556ff  2017-10-02T23:08:00.000Z   \n",
       "daff5a6de1600351e1301260c729478c9dc2e36a  2017-10-25T14:42:20.000Z   \n",
       "beab15b7777cc9d822f21d549f76bf12fcdb53a2  2017-10-31T20:11:44.000Z   \n",
       "d221e354b313ce4e5536c4a0dee1dfd7cca379f3  2017-10-10T01:02:09.000Z   \n",
       "80756bf5f41ea79c83dddf95acfea413cedc47a6  2017-10-02T12:56:40.000Z   \n",
       "3c40e0ffdf776c5bfef61de5ef7152eb00dc68d1  2017-10-13T03:16:50.000Z   \n",
       "21baf75c0cee1455134ba03272544695a9632d43  2017-10-31T19:35:52.000Z   \n",
       "ee3157d189708e28111bca2672b17c29164c3536  2017-10-27T23:44:01.000Z   \n",
       "4eac773f3ebe0d94a0fa4a6b6670ddf917c2731a  2017-10-02T06:01:09.000Z   \n",
       "516109aeae85946b20f0815443503941a9377f91  2017-10-19T23:30:15.000Z   \n",
       "cac2ab0eb67721d299e607b8f0fffd7231ea75d1  2017-10-05T22:15:08.000Z   \n",
       "379ec53f3e91218fdedbc34f3c1353d022721d34  2017-10-01T15:19:18.000Z   \n",
       "ca2cdf87d5f8fa84da0437cfa9274cd1df3cb1c5  2017-10-04T01:37:10.000Z   \n",
       "...                                                            ...   \n",
       "02c0972c41194fb4cd15f19804aeb894cc2c5bee                       NaN   \n",
       "5c9a06cf457cd2602d5cc3f89b773cc77c6ac968                       NaN   \n",
       "3c5cde42b98c1493c6339db25cde00b3c22db267                       NaN   \n",
       "91482986a8d1514c8e4dfe4ba5421e9ed4a4e7ed                       NaN   \n",
       "eefc2e0e12b67df110332240509e65e95651ca4b                       NaN   \n",
       "80aca1202079bde5eb32962f06515b0f0bc4dca0                       NaN   \n",
       "1779d2c71fcf3e462aac8fe1c628f02d6b789f5d                       NaN   \n",
       "654e1e4f92b9f174cad4bbba83cae806bd24f3de                       NaN   \n",
       "55e64897d16d13eae4f53b3b56b647f60ce1ab6c                       NaN   \n",
       "af63fd3495409c98948ab9364f8f411f909af1ad                       NaN   \n",
       "bd3c218f72e56d810d95c0e73d30eb7de098d7e5                       NaN   \n",
       "3812f835fdba0ae032cefa8741151163a99605ee                       NaN   \n",
       "86924e65577ee3d3b7b815016b08e3e75538b4e3                       NaN   \n",
       "c8121b18ed4fec985495254e8aee6db7e6d50df5                       NaN   \n",
       "7a15a79697d14b7ad795d3ed74700d1cb5ce91b1                       NaN   \n",
       "c75ed341bea900137000eaa60445cd10df57cede                       NaN   \n",
       "f46fa5010355b1586993f4b8c485876f645b388b                       NaN   \n",
       "19a847cd1839b45086f13a4da14f18b4bbabb034                       NaN   \n",
       "0c480b0c0a89ec79422232747f480131b92f0d2f                       NaN   \n",
       "2a10f2a01a7fba6d11999773e61cdcf944ca2c3c                       NaN   \n",
       "58227a10730242e3d915ac2b3388fafdaeb52e56                       NaN   \n",
       "5b462c9f5a37417714123cbc18822bd6564e6a5e                       NaN   \n",
       "a01768152856e76a0ed39277e38d86a693fbe7bc                       NaN   \n",
       "cc465581129290ac85bde303ee8569636cdf9e96                       NaN   \n",
       "b5665edf2f09e3f0c53eb90958a81464bbc9b698                       NaN   \n",
       "c2abd2a6fa5b760f9c3456efdc1ca9d635ce1ed9                       NaN   \n",
       "2cb52cf6cf9b5f81cea9166fd15b9916ce5532fa                       NaN   \n",
       "a09d2a501db72426813643eb873fe2caa0a81848                       NaN   \n",
       "dc2eda44b3595ed320b2bc8adc38db32cf1a8c10                       NaN   \n",
       "563c25c593fb24594bbb4c00defa2c2122fea1dc                       NaN   \n",
       "\n",
       "                                          alexa_rank  response_score  \\\n",
       "id                                                                     \n",
       "82f641a891db565edfcef82af5dac6e60f18dc29          96           50.00   \n",
       "fb7f2c7fc2b3d5d441f187c2cc298eb68481caca          96           50.00   \n",
       "55a653279260f78e8c3d8fdae5ac3ff000ff1a63         105           50.00   \n",
       "67d0bda0783da4c5d2ce176c1d3144d21b226c7a         105           50.00   \n",
       "f9ec6620251671f7010b07793542152080b97f63          96           50.00   \n",
       "cec51f99475b0936b80e7e1f07661fd769850060         105           50.00   \n",
       "d6c669a2a511a179c138c95cd00ecd21f67786ca         105           50.00   \n",
       "a40b5a3781bcdbb51023839d1e504623829509f7         147           50.00   \n",
       "6f31aba0d9c375c9b6658dba325de9ba6aab5472         105           50.00   \n",
       "6a0116039bbc12a38eed333af50ac8ccbb14e530          96           46.00   \n",
       "95a1f2bb7086f89ff2bf066faece9605d3843cee         105           48.00   \n",
       "b0a7e0c7b10ee97b2901390f0ce1e495cc7608e3         147           50.00   \n",
       "f075885c7f633014983f3a4dfa8a2568e3f30820         147           47.00   \n",
       "bb779a59d0768a95e90a7064a4cc96d385802150         105           50.00   \n",
       "fa25e376e29f7eff2f858ef404c04ccb1764fd96         105           49.00   \n",
       "83f4006ad4366078fe5620632914e763dfed5d24         105           47.00   \n",
       "bf9df1d59d28db1dc8a586a19bddec58c9dfcd56         105           48.00   \n",
       "10f7302737a4fe288003babdfa2e9350e36556ff         147           50.00   \n",
       "daff5a6de1600351e1301260c729478c9dc2e36a          96           49.00   \n",
       "beab15b7777cc9d822f21d549f76bf12fcdb53a2         105           50.00   \n",
       "d221e354b313ce4e5536c4a0dee1dfd7cca379f3         105           49.00   \n",
       "80756bf5f41ea79c83dddf95acfea413cedc47a6         147           50.00   \n",
       "3c40e0ffdf776c5bfef61de5ef7152eb00dc68d1         105           49.00   \n",
       "21baf75c0cee1455134ba03272544695a9632d43          96           47.00   \n",
       "ee3157d189708e28111bca2672b17c29164c3536         147           45.00   \n",
       "4eac773f3ebe0d94a0fa4a6b6670ddf917c2731a         215           50.00   \n",
       "516109aeae85946b20f0815443503941a9377f91         105           50.00   \n",
       "cac2ab0eb67721d299e607b8f0fffd7231ea75d1         105           45.00   \n",
       "379ec53f3e91218fdedbc34f3c1353d022721d34         105           45.00   \n",
       "ca2cdf87d5f8fa84da0437cfa9274cd1df3cb1c5         105           47.00   \n",
       "...                                              ...             ...   \n",
       "02c0972c41194fb4cd15f19804aeb894cc2c5bee         191            0.00   \n",
       "5c9a06cf457cd2602d5cc3f89b773cc77c6ac968         142            0.00   \n",
       "3c5cde42b98c1493c6339db25cde00b3c22db267         826            0.00   \n",
       "91482986a8d1514c8e4dfe4ba5421e9ed4a4e7ed          96            0.00   \n",
       "eefc2e0e12b67df110332240509e65e95651ca4b         191            0.00   \n",
       "80aca1202079bde5eb32962f06515b0f0bc4dca0          96            0.00   \n",
       "1779d2c71fcf3e462aac8fe1c628f02d6b789f5d         215            0.00   \n",
       "654e1e4f92b9f174cad4bbba83cae806bd24f3de         191            0.00   \n",
       "55e64897d16d13eae4f53b3b56b647f60ce1ab6c          96            0.00   \n",
       "af63fd3495409c98948ab9364f8f411f909af1ad         826            0.00   \n",
       "bd3c218f72e56d810d95c0e73d30eb7de098d7e5         191            0.00   \n",
       "3812f835fdba0ae032cefa8741151163a99605ee         191            0.00   \n",
       "86924e65577ee3d3b7b815016b08e3e75538b4e3         215            0.00   \n",
       "c8121b18ed4fec985495254e8aee6db7e6d50df5         191            0.00   \n",
       "7a15a79697d14b7ad795d3ed74700d1cb5ce91b1         191            0.00   \n",
       "c75ed341bea900137000eaa60445cd10df57cede         191            0.00   \n",
       "f46fa5010355b1586993f4b8c485876f645b388b         158            0.00   \n",
       "19a847cd1839b45086f13a4da14f18b4bbabb034         191            0.00   \n",
       "0c480b0c0a89ec79422232747f480131b92f0d2f         191            0.00   \n",
       "2a10f2a01a7fba6d11999773e61cdcf944ca2c3c         826            0.00   \n",
       "58227a10730242e3d915ac2b3388fafdaeb52e56         191            0.00   \n",
       "5b462c9f5a37417714123cbc18822bd6564e6a5e         191            0.00   \n",
       "a01768152856e76a0ed39277e38d86a693fbe7bc         191            0.00   \n",
       "cc465581129290ac85bde303ee8569636cdf9e96         191            0.00   \n",
       "b5665edf2f09e3f0c53eb90958a81464bbc9b698         191            0.00   \n",
       "c2abd2a6fa5b760f9c3456efdc1ca9d635ce1ed9         191            0.00   \n",
       "2cb52cf6cf9b5f81cea9166fd15b9916ce5532fa         191            0.00   \n",
       "a09d2a501db72426813643eb873fe2caa0a81848         215            0.00   \n",
       "dc2eda44b3595ed320b2bc8adc38db32cf1a8c10         191            0.00   \n",
       "563c25c593fb24594bbb4c00defa2c2122fea1dc         191            0.00   \n",
       "\n",
       "                                          lead_score  front_score  \\\n",
       "id                                                                  \n",
       "82f641a891db565edfcef82af5dac6e60f18dc29       20.00        13.00   \n",
       "fb7f2c7fc2b3d5d441f187c2cc298eb68481caca       20.00        10.00   \n",
       "55a653279260f78e8c3d8fdae5ac3ff000ff1a63       20.00         9.00   \n",
       "67d0bda0783da4c5d2ce176c1d3144d21b226c7a       20.00         9.00   \n",
       "f9ec6620251671f7010b07793542152080b97f63       20.00         9.00   \n",
       "cec51f99475b0936b80e7e1f07661fd769850060       20.00         8.00   \n",
       "d6c669a2a511a179c138c95cd00ecd21f67786ca       20.00         8.00   \n",
       "a40b5a3781bcdbb51023839d1e504623829509f7       19.00        13.00   \n",
       "6f31aba0d9c375c9b6658dba325de9ba6aab5472       20.00         8.00   \n",
       "6a0116039bbc12a38eed333af50ac8ccbb14e530       20.00        12.00   \n",
       "95a1f2bb7086f89ff2bf066faece9605d3843cee       20.00         9.00   \n",
       "b0a7e0c7b10ee97b2901390f0ce1e495cc7608e3       19.00        12.00   \n",
       "f075885c7f633014983f3a4dfa8a2568e3f30820       19.00        14.00   \n",
       "bb779a59d0768a95e90a7064a4cc96d385802150       20.00         6.00   \n",
       "fa25e376e29f7eff2f858ef404c04ccb1764fd96       20.00         7.00   \n",
       "83f4006ad4366078fe5620632914e763dfed5d24       20.00         9.00   \n",
       "bf9df1d59d28db1dc8a586a19bddec58c9dfcd56       20.00         8.00   \n",
       "10f7302737a4fe288003babdfa2e9350e36556ff       19.00        11.00   \n",
       "daff5a6de1600351e1301260c729478c9dc2e36a       20.00         7.00   \n",
       "beab15b7777cc9d822f21d549f76bf12fcdb53a2       20.00         5.00   \n",
       "d221e354b313ce4e5536c4a0dee1dfd7cca379f3       20.00         6.00   \n",
       "80756bf5f41ea79c83dddf95acfea413cedc47a6       19.00        10.00   \n",
       "3c40e0ffdf776c5bfef61de5ef7152eb00dc68d1       20.00         5.00   \n",
       "21baf75c0cee1455134ba03272544695a9632d43       20.00         7.00   \n",
       "ee3157d189708e28111bca2672b17c29164c3536       19.00        14.00   \n",
       "4eac773f3ebe0d94a0fa4a6b6670ddf917c2731a       17.00         9.00   \n",
       "516109aeae85946b20f0815443503941a9377f91       20.00         4.00   \n",
       "cac2ab0eb67721d299e607b8f0fffd7231ea75d1       20.00         9.00   \n",
       "379ec53f3e91218fdedbc34f3c1353d022721d34       20.00         9.00   \n",
       "ca2cdf87d5f8fa84da0437cfa9274cd1df3cb1c5       20.00         7.00   \n",
       "...                                              ...          ...   \n",
       "02c0972c41194fb4cd15f19804aeb894cc2c5bee        0.00         0.00   \n",
       "5c9a06cf457cd2602d5cc3f89b773cc77c6ac968        0.00         0.00   \n",
       "3c5cde42b98c1493c6339db25cde00b3c22db267        0.00         0.00   \n",
       "91482986a8d1514c8e4dfe4ba5421e9ed4a4e7ed        0.00         0.00   \n",
       "eefc2e0e12b67df110332240509e65e95651ca4b        0.00         0.00   \n",
       "80aca1202079bde5eb32962f06515b0f0bc4dca0        0.00         0.00   \n",
       "1779d2c71fcf3e462aac8fe1c628f02d6b789f5d        0.00         0.00   \n",
       "654e1e4f92b9f174cad4bbba83cae806bd24f3de        0.00         0.00   \n",
       "55e64897d16d13eae4f53b3b56b647f60ce1ab6c        0.00         0.00   \n",
       "af63fd3495409c98948ab9364f8f411f909af1ad        0.00         0.00   \n",
       "bd3c218f72e56d810d95c0e73d30eb7de098d7e5        0.00         0.00   \n",
       "3812f835fdba0ae032cefa8741151163a99605ee        0.00         0.00   \n",
       "86924e65577ee3d3b7b815016b08e3e75538b4e3        0.00         0.00   \n",
       "c8121b18ed4fec985495254e8aee6db7e6d50df5        0.00         0.00   \n",
       "7a15a79697d14b7ad795d3ed74700d1cb5ce91b1        0.00         0.00   \n",
       "c75ed341bea900137000eaa60445cd10df57cede        0.00         0.00   \n",
       "f46fa5010355b1586993f4b8c485876f645b388b        0.00         0.00   \n",
       "19a847cd1839b45086f13a4da14f18b4bbabb034        0.00         0.00   \n",
       "0c480b0c0a89ec79422232747f480131b92f0d2f        0.00         0.00   \n",
       "2a10f2a01a7fba6d11999773e61cdcf944ca2c3c        0.00         0.00   \n",
       "58227a10730242e3d915ac2b3388fafdaeb52e56        0.00         0.00   \n",
       "5b462c9f5a37417714123cbc18822bd6564e6a5e        0.00         0.00   \n",
       "a01768152856e76a0ed39277e38d86a693fbe7bc        0.00         0.00   \n",
       "cc465581129290ac85bde303ee8569636cdf9e96        0.00         0.00   \n",
       "b5665edf2f09e3f0c53eb90958a81464bbc9b698        0.00         0.00   \n",
       "c2abd2a6fa5b760f9c3456efdc1ca9d635ce1ed9        0.00         0.00   \n",
       "2cb52cf6cf9b5f81cea9166fd15b9916ce5532fa        0.00         0.00   \n",
       "a09d2a501db72426813643eb873fe2caa0a81848        0.00         0.00   \n",
       "dc2eda44b3595ed320b2bc8adc38db32cf1a8c10        0.00         0.00   \n",
       "563c25c593fb24594bbb4c00defa2c2122fea1dc        0.00         0.00   \n",
       "\n",
       "                                         facebook_promotion_score  \\\n",
       "id                                                                  \n",
       "82f641a891db565edfcef82af5dac6e60f18dc29                    15.00   \n",
       "fb7f2c7fc2b3d5d441f187c2cc298eb68481caca                    15.00   \n",
       "55a653279260f78e8c3d8fdae5ac3ff000ff1a63                    15.00   \n",
       "67d0bda0783da4c5d2ce176c1d3144d21b226c7a                    15.00   \n",
       "f9ec6620251671f7010b07793542152080b97f63                    15.00   \n",
       "cec51f99475b0936b80e7e1f07661fd769850060                    15.00   \n",
       "d6c669a2a511a179c138c95cd00ecd21f67786ca                    15.00   \n",
       "a40b5a3781bcdbb51023839d1e504623829509f7                    11.00   \n",
       "6f31aba0d9c375c9b6658dba325de9ba6aab5472                    15.00   \n",
       "6a0116039bbc12a38eed333af50ac8ccbb14e530                    15.00   \n",
       "95a1f2bb7086f89ff2bf066faece9605d3843cee                    15.00   \n",
       "b0a7e0c7b10ee97b2901390f0ce1e495cc7608e3                    11.00   \n",
       "f075885c7f633014983f3a4dfa8a2568e3f30820                    11.00   \n",
       "bb779a59d0768a95e90a7064a4cc96d385802150                    15.00   \n",
       "fa25e376e29f7eff2f858ef404c04ccb1764fd96                    15.00   \n",
       "83f4006ad4366078fe5620632914e763dfed5d24                    15.00   \n",
       "bf9df1d59d28db1dc8a586a19bddec58c9dfcd56                    15.00   \n",
       "10f7302737a4fe288003babdfa2e9350e36556ff                    11.00   \n",
       "daff5a6de1600351e1301260c729478c9dc2e36a                    15.00   \n",
       "beab15b7777cc9d822f21d549f76bf12fcdb53a2                    15.00   \n",
       "d221e354b313ce4e5536c4a0dee1dfd7cca379f3                    15.00   \n",
       "80756bf5f41ea79c83dddf95acfea413cedc47a6                    11.00   \n",
       "3c40e0ffdf776c5bfef61de5ef7152eb00dc68d1                    15.00   \n",
       "21baf75c0cee1455134ba03272544695a9632d43                    15.00   \n",
       "ee3157d189708e28111bca2672b17c29164c3536                    11.00   \n",
       "4eac773f3ebe0d94a0fa4a6b6670ddf917c2731a                    13.00   \n",
       "516109aeae85946b20f0815443503941a9377f91                    15.00   \n",
       "cac2ab0eb67721d299e607b8f0fffd7231ea75d1                    15.00   \n",
       "379ec53f3e91218fdedbc34f3c1353d022721d34                    15.00   \n",
       "ca2cdf87d5f8fa84da0437cfa9274cd1df3cb1c5                    15.00   \n",
       "...                                                           ...   \n",
       "02c0972c41194fb4cd15f19804aeb894cc2c5bee                     0.00   \n",
       "5c9a06cf457cd2602d5cc3f89b773cc77c6ac968                     0.00   \n",
       "3c5cde42b98c1493c6339db25cde00b3c22db267                     0.00   \n",
       "91482986a8d1514c8e4dfe4ba5421e9ed4a4e7ed                     0.00   \n",
       "eefc2e0e12b67df110332240509e65e95651ca4b                     0.00   \n",
       "80aca1202079bde5eb32962f06515b0f0bc4dca0                     0.00   \n",
       "1779d2c71fcf3e462aac8fe1c628f02d6b789f5d                     0.00   \n",
       "654e1e4f92b9f174cad4bbba83cae806bd24f3de                     0.00   \n",
       "55e64897d16d13eae4f53b3b56b647f60ce1ab6c                     0.00   \n",
       "af63fd3495409c98948ab9364f8f411f909af1ad                     0.00   \n",
       "bd3c218f72e56d810d95c0e73d30eb7de098d7e5                     0.00   \n",
       "3812f835fdba0ae032cefa8741151163a99605ee                     0.00   \n",
       "86924e65577ee3d3b7b815016b08e3e75538b4e3                     0.00   \n",
       "c8121b18ed4fec985495254e8aee6db7e6d50df5                     0.00   \n",
       "7a15a79697d14b7ad795d3ed74700d1cb5ce91b1                     0.00   \n",
       "c75ed341bea900137000eaa60445cd10df57cede                     0.00   \n",
       "f46fa5010355b1586993f4b8c485876f645b388b                     0.00   \n",
       "19a847cd1839b45086f13a4da14f18b4bbabb034                     0.00   \n",
       "0c480b0c0a89ec79422232747f480131b92f0d2f                     0.00   \n",
       "2a10f2a01a7fba6d11999773e61cdcf944ca2c3c                     0.00   \n",
       "58227a10730242e3d915ac2b3388fafdaeb52e56                     0.00   \n",
       "5b462c9f5a37417714123cbc18822bd6564e6a5e                     0.00   \n",
       "a01768152856e76a0ed39277e38d86a693fbe7bc                     0.00   \n",
       "cc465581129290ac85bde303ee8569636cdf9e96                     0.00   \n",
       "b5665edf2f09e3f0c53eb90958a81464bbc9b698                     0.00   \n",
       "c2abd2a6fa5b760f9c3456efdc1ca9d635ce1ed9                     0.00   \n",
       "2cb52cf6cf9b5f81cea9166fd15b9916ce5532fa                     0.00   \n",
       "a09d2a501db72426813643eb873fe2caa0a81848                     0.00   \n",
       "dc2eda44b3595ed320b2bc8adc38db32cf1a8c10                     0.00   \n",
       "563c25c593fb24594bbb4c00defa2c2122fea1dc                     0.00   \n",
       "\n",
       "                                          promotion_score  attention_index  \n",
       "id                                                                          \n",
       "82f641a891db565edfcef82af5dac6e60f18dc29            48.00            98.00  \n",
       "fb7f2c7fc2b3d5d441f187c2cc298eb68481caca            45.00            95.00  \n",
       "55a653279260f78e8c3d8fdae5ac3ff000ff1a63            44.00            94.00  \n",
       "67d0bda0783da4c5d2ce176c1d3144d21b226c7a            44.00            94.00  \n",
       "f9ec6620251671f7010b07793542152080b97f63            44.00            94.00  \n",
       "cec51f99475b0936b80e7e1f07661fd769850060            43.00            93.00  \n",
       "d6c669a2a511a179c138c95cd00ecd21f67786ca            43.00            93.00  \n",
       "a40b5a3781bcdbb51023839d1e504623829509f7            43.00            93.00  \n",
       "6f31aba0d9c375c9b6658dba325de9ba6aab5472            43.00            93.00  \n",
       "6a0116039bbc12a38eed333af50ac8ccbb14e530            47.00            93.00  \n",
       "95a1f2bb7086f89ff2bf066faece9605d3843cee            44.00            92.00  \n",
       "b0a7e0c7b10ee97b2901390f0ce1e495cc7608e3            42.00            92.00  \n",
       "f075885c7f633014983f3a4dfa8a2568e3f30820            44.00            91.00  \n",
       "bb779a59d0768a95e90a7064a4cc96d385802150            41.00            91.00  \n",
       "fa25e376e29f7eff2f858ef404c04ccb1764fd96            42.00            91.00  \n",
       "83f4006ad4366078fe5620632914e763dfed5d24            44.00            91.00  \n",
       "bf9df1d59d28db1dc8a586a19bddec58c9dfcd56            43.00            91.00  \n",
       "10f7302737a4fe288003babdfa2e9350e36556ff            41.00            91.00  \n",
       "daff5a6de1600351e1301260c729478c9dc2e36a            42.00            91.00  \n",
       "beab15b7777cc9d822f21d549f76bf12fcdb53a2            40.00            90.00  \n",
       "d221e354b313ce4e5536c4a0dee1dfd7cca379f3            41.00            90.00  \n",
       "80756bf5f41ea79c83dddf95acfea413cedc47a6            40.00            90.00  \n",
       "3c40e0ffdf776c5bfef61de5ef7152eb00dc68d1            40.00            89.00  \n",
       "21baf75c0cee1455134ba03272544695a9632d43            42.00            89.00  \n",
       "ee3157d189708e28111bca2672b17c29164c3536            44.00            89.00  \n",
       "4eac773f3ebe0d94a0fa4a6b6670ddf917c2731a            39.00            89.00  \n",
       "516109aeae85946b20f0815443503941a9377f91            39.00            89.00  \n",
       "cac2ab0eb67721d299e607b8f0fffd7231ea75d1            44.00            89.00  \n",
       "379ec53f3e91218fdedbc34f3c1353d022721d34            44.00            89.00  \n",
       "ca2cdf87d5f8fa84da0437cfa9274cd1df3cb1c5            42.00            89.00  \n",
       "...                                                   ...              ...  \n",
       "02c0972c41194fb4cd15f19804aeb894cc2c5bee             0.00             0.00  \n",
       "5c9a06cf457cd2602d5cc3f89b773cc77c6ac968             0.00             0.00  \n",
       "3c5cde42b98c1493c6339db25cde00b3c22db267             0.00             0.00  \n",
       "91482986a8d1514c8e4dfe4ba5421e9ed4a4e7ed             0.00             0.00  \n",
       "eefc2e0e12b67df110332240509e65e95651ca4b             0.00             0.00  \n",
       "80aca1202079bde5eb32962f06515b0f0bc4dca0             0.00             0.00  \n",
       "1779d2c71fcf3e462aac8fe1c628f02d6b789f5d             0.00             0.00  \n",
       "654e1e4f92b9f174cad4bbba83cae806bd24f3de             0.00             0.00  \n",
       "55e64897d16d13eae4f53b3b56b647f60ce1ab6c             0.00             0.00  \n",
       "af63fd3495409c98948ab9364f8f411f909af1ad             0.00             0.00  \n",
       "bd3c218f72e56d810d95c0e73d30eb7de098d7e5             0.00             0.00  \n",
       "3812f835fdba0ae032cefa8741151163a99605ee             0.00             0.00  \n",
       "86924e65577ee3d3b7b815016b08e3e75538b4e3             0.00             0.00  \n",
       "c8121b18ed4fec985495254e8aee6db7e6d50df5             0.00             0.00  \n",
       "7a15a79697d14b7ad795d3ed74700d1cb5ce91b1             0.00             0.00  \n",
       "c75ed341bea900137000eaa60445cd10df57cede             0.00             0.00  \n",
       "f46fa5010355b1586993f4b8c485876f645b388b             0.00             0.00  \n",
       "19a847cd1839b45086f13a4da14f18b4bbabb034             0.00             0.00  \n",
       "0c480b0c0a89ec79422232747f480131b92f0d2f             0.00             0.00  \n",
       "2a10f2a01a7fba6d11999773e61cdcf944ca2c3c             0.00             0.00  \n",
       "58227a10730242e3d915ac2b3388fafdaeb52e56             0.00             0.00  \n",
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       "\n",
       "[158885 rows x 25 columns]"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# and lets see the articles with the biggest attention index\n",
    "data.sort_values(\"attention_index\", ascending=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {
    "collapsed": true,
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "data[\"score_diff\"] = data.promotion_score - data.response_score"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
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       "      <td>5 Ways President Trump Could Undermine Obamaca...</td>\n",
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       "      <td>26</td>\n",
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       "      <td>2017-10-12T17:24:22.000Z</td>\n",
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       "      <td>19.00</td>\n",
       "      <td>11.00</td>\n",
       "      <td>11.00</td>\n",
       "      <td>41.00</td>\n",
       "      <td>51.00</td>\n",
       "      <td>31.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>c4b8b37c6ceab237e6a8a93e2e04a843eb09918a</th>\n",
       "      <td>https://www.buzzfeed.com/venessawong/sweet-hyp...</td>\n",
       "      <td>Tom Brady Is A Health Nut. He's Also An Invest...</td>\n",
       "      <td>2017-10-18 19:46:30.979</td>\n",
       "      <td>2017-10-18 16:58:10</td>\n",
       "      <td>9</td>\n",
       "      <td>0.10</td>\n",
       "      <td>2017-10-18T19:57:08.176Z</td>\n",
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       "      <td>8</td>\n",
       "      <td>...</td>\n",
       "      <td>nan</td>\n",
       "      <td>NaN</td>\n",
       "      <td>147</td>\n",
       "      <td>2.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>14.00</td>\n",
       "      <td>0.00</td>\n",
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       "      <td>35.00</td>\n",
       "      <td>31.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18ced93ccf538cac448b4fb306877cb0947f2256</th>\n",
       "      <td>https://www.buzzfeed.com/kelseymckinney/missin...</td>\n",
       "      <td>Kelly Clarkson Isn't Afraid To Get Political</td>\n",
       "      <td>2017-10-28 01:49:07.796</td>\n",
       "      <td>2017-10-27 18:55:31</td>\n",
       "      <td>186</td>\n",
       "      <td>0.30</td>\n",
       "      <td>2017-10-28T02:00:06.264Z</td>\n",
       "      <td>15</td>\n",
       "      <td>145</td>\n",
       "      <td>26</td>\n",
       "      <td>...</td>\n",
       "      <td>2749535.00</td>\n",
       "      <td>2017-10-30T00:44:00.000Z</td>\n",
       "      <td>147</td>\n",
       "      <td>13.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>14.00</td>\n",
       "      <td>11.00</td>\n",
       "      <td>44.00</td>\n",
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       "    </tr>\n",
       "    <tr>\n",
       "      <th>05982decb78deb49ed11c760acaef4e178c5c4d9</th>\n",
       "      <td>https://www.buzzfeed.com/nicolenguyen/iphone-x...</td>\n",
       "      <td>Life Without A Home Button: The iPhone X Review</td>\n",
       "      <td>2017-10-31 10:01:13.571</td>\n",
       "      <td>2017-10-28 18:38:14</td>\n",
       "      <td>1</td>\n",
       "      <td>0.10</td>\n",
       "      <td>2017-10-31T10:12:07.580Z</td>\n",
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       "      <td>147</td>\n",
       "      <td>0.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>12.00</td>\n",
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       "      <td>31.00</td>\n",
       "      <td>31.00</td>\n",
       "      <td>31.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38b3de48740205c6e5fcdbdc8be85b48acc19711</th>\n",
       "      <td>https://www.buzzfeed.com/nathanieljanowitz/nar...</td>\n",
       "      <td>Narco Rap Is Hip-Hop’s Most Dangerous Game</td>\n",
       "      <td>2017-10-08 20:24:13.762</td>\n",
       "      <td>2017-10-06 02:31:51</td>\n",
       "      <td>2</td>\n",
       "      <td>0.10</td>\n",
       "      <td>2017-10-08T20:35:08.810Z</td>\n",
       "      <td>0</td>\n",
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       "      <td>2</td>\n",
       "      <td>...</td>\n",
       "      <td>nan</td>\n",
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       "      <td>1.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>13.00</td>\n",
       "      <td>0.00</td>\n",
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       "      <td>33.00</td>\n",
       "      <td>31.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8d7362720fea9158facbee073354948f3b846c28</th>\n",
       "      <td>https://www.buzzfeed.com/borzoudaragahi/us-pla...</td>\n",
       "      <td>US Plans For Victory In Afghanistan Could End ...</td>\n",
       "      <td>2017-10-28 14:46:18.737</td>\n",
       "      <td>2017-10-26 18:42:07</td>\n",
       "      <td>2</td>\n",
       "      <td>0.20</td>\n",
       "      <td>2017-10-28T14:57:07.689Z</td>\n",
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       "      <td>1.00</td>\n",
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       "      <td>13.00</td>\n",
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       "    </tr>\n",
       "    <tr>\n",
       "      <th>0e4ad3fc3a855762723b2438525a82252f93d5d3</th>\n",
       "      <td>https://www.buzzfeed.com/morganshanahan/workin...</td>\n",
       "      <td>Working For Harvey Weinstein Taught Me What Ra...</td>\n",
       "      <td>2017-10-20 18:39:11.862</td>\n",
       "      <td>2017-10-13 23:23:48</td>\n",
       "      <td>6</td>\n",
       "      <td>0.00</td>\n",
       "      <td>2017-10-20T18:50:10.877Z</td>\n",
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       "      <td>5</td>\n",
       "      <td>...</td>\n",
       "      <td>nan</td>\n",
       "      <td>NaN</td>\n",
       "      <td>147</td>\n",
       "      <td>2.00</td>\n",
       "      <td>19.00</td>\n",
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       "      <td>0.00</td>\n",
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       "      <td>35.00</td>\n",
       "      <td>31.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>fa9ad17dbcd5db37d3dfb331a1426a8a3c7e3116</th>\n",
       "      <td>https://www.buzzfeed.com/nidhiprakash/lost-his...</td>\n",
       "      <td>Adrian Lost His Home During Maria. He's Back A...</td>\n",
       "      <td>2017-10-01 20:52:30.257</td>\n",
       "      <td>2017-10-01 19:10:05</td>\n",
       "      <td>79</td>\n",
       "      <td>0.35</td>\n",
       "      <td>2017-10-02T05:07:11.362Z</td>\n",
       "      <td>1</td>\n",
       "      <td>64</td>\n",
       "      <td>14</td>\n",
       "      <td>...</td>\n",
       "      <td>2709223.00</td>\n",
       "      <td>2017-10-02T04:01:42.000Z</td>\n",
       "      <td>147</td>\n",
       "      <td>9.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>10.00</td>\n",
       "      <td>11.00</td>\n",
       "      <td>40.00</td>\n",
       "      <td>49.00</td>\n",
       "      <td>31.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7c39ccb58f94bdbe57fad67af14692806c347d57</th>\n",
       "      <td>https://www.buzzfeed.com/franciswhittaker/spai...</td>\n",
       "      <td>Spain Has Said It Will Impose Direct Rule Over...</td>\n",
       "      <td>2017-10-19 09:01:17.429</td>\n",
       "      <td>2017-10-19 08:47:06</td>\n",
       "      <td>88</td>\n",
       "      <td>0.79</td>\n",
       "      <td>2017-10-19T09:12:08.044Z</td>\n",
       "      <td>7</td>\n",
       "      <td>57</td>\n",
       "      <td>24</td>\n",
       "      <td>...</td>\n",
       "      <td>2738044.00</td>\n",
       "      <td>2017-10-19T09:02:40.000Z</td>\n",
       "      <td>147</td>\n",
       "      <td>9.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>9.00</td>\n",
       "      <td>11.00</td>\n",
       "      <td>39.00</td>\n",
       "      <td>48.00</td>\n",
       "      <td>30.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28014b7339c6f16c897d4ae416d388a57cec60de</th>\n",
       "      <td>https://www.buzzfeed.com/mollyhensleyclancy/mi...</td>\n",
       "      <td>Mike Pence's Closest Ally Is Helping The Shady...</td>\n",
       "      <td>2017-10-25 18:10:23.537</td>\n",
       "      <td>2017-10-24 22:24:25</td>\n",
       "      <td>15</td>\n",
       "      <td>0.10</td>\n",
       "      <td>2017-10-25T19:23:03.906Z</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>13</td>\n",
       "      <td>...</td>\n",
       "      <td>nan</td>\n",
       "      <td>NaN</td>\n",
       "      <td>147</td>\n",
       "      <td>3.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>14.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>33.00</td>\n",
       "      <td>36.00</td>\n",
       "      <td>30.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>f5a4f3299d5df22bc47653c1ecf7d036389c835d</th>\n",
       "      <td>http://www.independent.co.uk/news/uk/crime/gro...</td>\n",
       "      <td>Grooming gangs 'are abusing girls across the c...</td>\n",
       "      <td>2017-10-08 19:34:24.651</td>\n",
       "      <td>2017-10-06 17:38:44</td>\n",
       "      <td>0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>2017-10-08T19:45:11.610Z</td>\n",
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       "      <td>...</td>\n",
       "      <td>7610637.00</td>\n",
       "      <td>2017-10-09T09:08:24.000Z</td>\n",
       "      <td>386</td>\n",
       "      <td>0.00</td>\n",
       "      <td>16.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>13.00</td>\n",
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       "      <td>30.00</td>\n",
       "      <td>30.00</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>25 rows × 26 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                                                                                        url  \\\n",
       "id                                                                                            \n",
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       "\n",
       "                                                                                   headline  \\\n",
       "id                                                                                            \n",
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       "74f30801f07e697b1804a420c37cddc54563401c      How A US Raid On An Afghan Village Went Wrong   \n",
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       "c616bb3ad332266cfa9dfc11b2d1cc2518b466d0  Trump’s Anti-Islam Rhetoric Convinced These Mu...   \n",
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       "10d029b2ac847112ad6c076081c70041fcfe5fe3  Harvey Weinstein Is Suing His Old Company To O...   \n",
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       "b60e623d5f4a6d1295d7415b784122f18fa8e871                 The Trump (Alternate) Reality Show   \n",
       "de1121cdb0ba8b77f91e9a68c7b5c4009054a70d                  Untitled Draft 10/06/2017 5:43 PM   \n",
       "5b9ee08340d9d6f6c0d6dca6042220bf4bcb2721  So Many Father-Led Families Are Crossing The U...   \n",
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       "05982decb78deb49ed11c760acaef4e178c5c4d9    Life Without A Home Button: The iPhone X Review   \n",
       "38b3de48740205c6e5fcdbdc8be85b48acc19711         Narco Rap Is Hip-Hop’s Most Dangerous Game   \n",
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       "f5a4f3299d5df22bc47653c1ecf7d036389c835d  Grooming gangs 'are abusing girls across the c...   \n",
       "\n",
       "                                                      discovered  \\\n",
       "id                                                                 \n",
       "e43a9b30900aab9765ce74c00665e24da573a56c 2017-10-19 11:43:24.546   \n",
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       "0e4ad3fc3a855762723b2438525a82252f93d5d3 2017-10-20 18:39:11.862   \n",
       "fa9ad17dbcd5db37d3dfb331a1426a8a3c7e3116 2017-10-01 20:52:30.257   \n",
       "7c39ccb58f94bdbe57fad67af14692806c347d57 2017-10-19 09:01:17.429   \n",
       "28014b7339c6f16c897d4ae416d388a57cec60de 2017-10-25 18:10:23.537   \n",
       "f5a4f3299d5df22bc47653c1ecf7d036389c835d 2017-10-08 19:34:24.651   \n",
       "\n",
       "                                                   published  fb_engagements  \\\n",
       "id                                                                             \n",
       "e43a9b30900aab9765ce74c00665e24da573a56c 2017-10-17 13:26:51               0   \n",
       "2b852dff5e7a3e4352681245f98178a56a52689b 2017-10-23 14:54:04               3   \n",
       "74f30801f07e697b1804a420c37cddc54563401c 2017-10-16 16:57:47              18   \n",
       "68c78eedcf54c1421649c1287bda9cd7cdc624ef 2017-10-07 17:17:50               2   \n",
       "c616bb3ad332266cfa9dfc11b2d1cc2518b466d0 2017-10-26 18:18:02               1   \n",
       "e30407d0a2a955d86fd7299f4df704bd8f9d7f7e 2017-10-06 23:39:18              32   \n",
       "13fbafcfe4f592d7705b509fa4156fb1f30704d2 2017-10-17 16:44:09              25   \n",
       "10d029b2ac847112ad6c076081c70041fcfe5fe3 2017-10-26 21:20:36              67   \n",
       "ac204bbe8809292e367036ba771b54ca74182593 2017-10-28 13:28:16               0   \n",
       "7491dfb6c163d82d7010eb957bef64dd17ceabd2 2017-10-27 15:16:17             126   \n",
       "b60e623d5f4a6d1295d7415b784122f18fa8e871 2017-10-09 21:49:37             119   \n",
       "de1121cdb0ba8b77f91e9a68c7b5c4009054a70d 2017-10-07 00:29:42               1   \n",
       "5b9ee08340d9d6f6c0d6dca6042220bf4bcb2721 2017-10-23 15:16:49             185   \n",
       "320c913f5a57cb5b013ec7be22d48390164dd1b4 2017-10-04 20:57:53              73   \n",
       "b47452ed5f2cb6318349dfb6a3236caa0cbcdec5 2017-10-12 14:34:47             100   \n",
       "c4b8b37c6ceab237e6a8a93e2e04a843eb09918a 2017-10-18 16:58:10               9   \n",
       "18ced93ccf538cac448b4fb306877cb0947f2256 2017-10-27 18:55:31             186   \n",
       "05982decb78deb49ed11c760acaef4e178c5c4d9 2017-10-28 18:38:14               1   \n",
       "38b3de48740205c6e5fcdbdc8be85b48acc19711 2017-10-06 02:31:51               2   \n",
       "8d7362720fea9158facbee073354948f3b846c28 2017-10-26 18:42:07               2   \n",
       "0e4ad3fc3a855762723b2438525a82252f93d5d3 2017-10-13 23:23:48               6   \n",
       "fa9ad17dbcd5db37d3dfb331a1426a8a3c7e3116 2017-10-01 19:10:05              79   \n",
       "7c39ccb58f94bdbe57fad67af14692806c347d57 2017-10-19 08:47:06              88   \n",
       "28014b7339c6f16c897d4ae416d388a57cec60de 2017-10-24 22:24:25              15   \n",
       "f5a4f3299d5df22bc47653c1ecf7d036389c835d 2017-10-06 17:38:44               0   \n",
       "\n",
       "                                          fb_max_engagements_per_min  \\\n",
       "id                                                                     \n",
       "e43a9b30900aab9765ce74c00665e24da573a56c                        0.00   \n",
       "2b852dff5e7a3e4352681245f98178a56a52689b                        0.27   \n",
       "74f30801f07e697b1804a420c37cddc54563401c                        0.28   \n",
       "68c78eedcf54c1421649c1287bda9cd7cdc624ef                        0.18   \n",
       "c616bb3ad332266cfa9dfc11b2d1cc2518b466d0                        0.10   \n",
       "e30407d0a2a955d86fd7299f4df704bd8f9d7f7e                        0.20   \n",
       "13fbafcfe4f592d7705b509fa4156fb1f30704d2                        0.25   \n",
       "10d029b2ac847112ad6c076081c70041fcfe5fe3                        0.11   \n",
       "ac204bbe8809292e367036ba771b54ca74182593                        0.00   \n",
       "7491dfb6c163d82d7010eb957bef64dd17ceabd2                        0.39   \n",
       "b60e623d5f4a6d1295d7415b784122f18fa8e871                        0.62   \n",
       "de1121cdb0ba8b77f91e9a68c7b5c4009054a70d                        0.00   \n",
       "5b9ee08340d9d6f6c0d6dca6042220bf4bcb2721                        0.60   \n",
       "320c913f5a57cb5b013ec7be22d48390164dd1b4                        0.59   \n",
       "b47452ed5f2cb6318349dfb6a3236caa0cbcdec5                        0.43   \n",
       "c4b8b37c6ceab237e6a8a93e2e04a843eb09918a                        0.10   \n",
       "18ced93ccf538cac448b4fb306877cb0947f2256                        0.30   \n",
       "05982decb78deb49ed11c760acaef4e178c5c4d9                        0.10   \n",
       "38b3de48740205c6e5fcdbdc8be85b48acc19711                        0.10   \n",
       "8d7362720fea9158facbee073354948f3b846c28                        0.20   \n",
       "0e4ad3fc3a855762723b2438525a82252f93d5d3                        0.00   \n",
       "fa9ad17dbcd5db37d3dfb331a1426a8a3c7e3116                        0.35   \n",
       "7c39ccb58f94bdbe57fad67af14692806c347d57                        0.79   \n",
       "28014b7339c6f16c897d4ae416d388a57cec60de                        0.10   \n",
       "f5a4f3299d5df22bc47653c1ecf7d036389c835d                        0.00   \n",
       "\n",
       "                                         fb_max_engagements_per_min_time  \\\n",
       "id                                                                         \n",
       "e43a9b30900aab9765ce74c00665e24da573a56c        2017-10-19T11:55:04.504Z   \n",
       "2b852dff5e7a3e4352681245f98178a56a52689b        2017-10-27T13:10:07.398Z   \n",
       "74f30801f07e697b1804a420c37cddc54563401c        2017-10-17T17:12:09.350Z   \n",
       "68c78eedcf54c1421649c1287bda9cd7cdc624ef        2017-10-09T16:46:05.185Z   \n",
       "c616bb3ad332266cfa9dfc11b2d1cc2518b466d0        2017-10-31T13:15:06.299Z   \n",
       "e30407d0a2a955d86fd7299f4df704bd8f9d7f7e        2017-10-07T00:35:07.428Z   \n",
       "13fbafcfe4f592d7705b509fa4156fb1f30704d2        2017-10-18T17:14:11.226Z   \n",
       "10d029b2ac847112ad6c076081c70041fcfe5fe3        2017-10-26T22:35:03.393Z   \n",
       "ac204bbe8809292e367036ba771b54ca74182593        2017-10-29T14:34:05.941Z   \n",
       "7491dfb6c163d82d7010eb957bef64dd17ceabd2        2017-10-27T16:49:07.055Z   \n",
       "b60e623d5f4a6d1295d7415b784122f18fa8e871        2017-10-10T00:25:09.375Z   \n",
       "de1121cdb0ba8b77f91e9a68c7b5c4009054a70d        2017-10-08T15:40:07.699Z   \n",
       "5b9ee08340d9d6f6c0d6dca6042220bf4bcb2721        2017-10-23T17:31:12.251Z   \n",
       "320c913f5a57cb5b013ec7be22d48390164dd1b4        2017-10-05T03:16:03.440Z   \n",
       "b47452ed5f2cb6318349dfb6a3236caa0cbcdec5        2017-10-12T17:51:06.310Z   \n",
       "c4b8b37c6ceab237e6a8a93e2e04a843eb09918a        2017-10-18T19:57:08.176Z   \n",
       "18ced93ccf538cac448b4fb306877cb0947f2256        2017-10-28T02:00:06.264Z   \n",
       "05982decb78deb49ed11c760acaef4e178c5c4d9        2017-10-31T10:12:07.580Z   \n",
       "38b3de48740205c6e5fcdbdc8be85b48acc19711        2017-10-08T20:35:08.810Z   \n",
       "8d7362720fea9158facbee073354948f3b846c28        2017-10-28T14:57:07.689Z   \n",
       "0e4ad3fc3a855762723b2438525a82252f93d5d3        2017-10-20T18:50:10.877Z   \n",
       "fa9ad17dbcd5db37d3dfb331a1426a8a3c7e3116        2017-10-02T05:07:11.362Z   \n",
       "7c39ccb58f94bdbe57fad67af14692806c347d57        2017-10-19T09:12:08.044Z   \n",
       "28014b7339c6f16c897d4ae416d388a57cec60de        2017-10-25T19:23:03.906Z   \n",
       "f5a4f3299d5df22bc47653c1ecf7d036389c835d        2017-10-08T19:45:11.610Z   \n",
       "\n",
       "                                          fb_comments  fb_reactions  \\\n",
       "id                                                                    \n",
       "e43a9b30900aab9765ce74c00665e24da573a56c            0             0   \n",
       "2b852dff5e7a3e4352681245f98178a56a52689b            0             0   \n",
       "74f30801f07e697b1804a420c37cddc54563401c            2             3   \n",
       "68c78eedcf54c1421649c1287bda9cd7cdc624ef            0             0   \n",
       "c616bb3ad332266cfa9dfc11b2d1cc2518b466d0            0             0   \n",
       "e30407d0a2a955d86fd7299f4df704bd8f9d7f7e            2            13   \n",
       "13fbafcfe4f592d7705b509fa4156fb1f30704d2            0             9   \n",
       "10d029b2ac847112ad6c076081c70041fcfe5fe3            8            36   \n",
       "ac204bbe8809292e367036ba771b54ca74182593            0             0   \n",
       "7491dfb6c163d82d7010eb957bef64dd17ceabd2           14            41   \n",
       "b60e623d5f4a6d1295d7415b784122f18fa8e871           36            60   \n",
       "de1121cdb0ba8b77f91e9a68c7b5c4009054a70d            0             0   \n",
       "5b9ee08340d9d6f6c0d6dca6042220bf4bcb2721           44            89   \n",
       "320c913f5a57cb5b013ec7be22d48390164dd1b4           19            43   \n",
       "b47452ed5f2cb6318349dfb6a3236caa0cbcdec5           21            53   \n",
       "c4b8b37c6ceab237e6a8a93e2e04a843eb09918a            1             0   \n",
       "18ced93ccf538cac448b4fb306877cb0947f2256           15           145   \n",
       "05982decb78deb49ed11c760acaef4e178c5c4d9            0             0   \n",
       "38b3de48740205c6e5fcdbdc8be85b48acc19711            0             0   \n",
       "8d7362720fea9158facbee073354948f3b846c28            0             0   \n",
       "0e4ad3fc3a855762723b2438525a82252f93d5d3            0             1   \n",
       "fa9ad17dbcd5db37d3dfb331a1426a8a3c7e3116            1            64   \n",
       "7c39ccb58f94bdbe57fad67af14692806c347d57            7            57   \n",
       "28014b7339c6f16c897d4ae416d388a57cec60de            0             2   \n",
       "f5a4f3299d5df22bc47653c1ecf7d036389c835d            0             0   \n",
       "\n",
       "                                          fb_shares     ...      \\\n",
       "id                                                      ...       \n",
       "e43a9b30900aab9765ce74c00665e24da573a56c          0     ...       \n",
       "2b852dff5e7a3e4352681245f98178a56a52689b          3     ...       \n",
       "74f30801f07e697b1804a420c37cddc54563401c         13     ...       \n",
       "68c78eedcf54c1421649c1287bda9cd7cdc624ef          2     ...       \n",
       "c616bb3ad332266cfa9dfc11b2d1cc2518b466d0          1     ...       \n",
       "e30407d0a2a955d86fd7299f4df704bd8f9d7f7e         17     ...       \n",
       "13fbafcfe4f592d7705b509fa4156fb1f30704d2         16     ...       \n",
       "10d029b2ac847112ad6c076081c70041fcfe5fe3         23     ...       \n",
       "ac204bbe8809292e367036ba771b54ca74182593          0     ...       \n",
       "7491dfb6c163d82d7010eb957bef64dd17ceabd2         71     ...       \n",
       "b60e623d5f4a6d1295d7415b784122f18fa8e871         23     ...       \n",
       "de1121cdb0ba8b77f91e9a68c7b5c4009054a70d          1     ...       \n",
       "5b9ee08340d9d6f6c0d6dca6042220bf4bcb2721         52     ...       \n",
       "320c913f5a57cb5b013ec7be22d48390164dd1b4         11     ...       \n",
       "b47452ed5f2cb6318349dfb6a3236caa0cbcdec5         26     ...       \n",
       "c4b8b37c6ceab237e6a8a93e2e04a843eb09918a          8     ...       \n",
       "18ced93ccf538cac448b4fb306877cb0947f2256         26     ...       \n",
       "05982decb78deb49ed11c760acaef4e178c5c4d9          1     ...       \n",
       "38b3de48740205c6e5fcdbdc8be85b48acc19711          2     ...       \n",
       "8d7362720fea9158facbee073354948f3b846c28          2     ...       \n",
       "0e4ad3fc3a855762723b2438525a82252f93d5d3          5     ...       \n",
       "fa9ad17dbcd5db37d3dfb331a1426a8a3c7e3116         14     ...       \n",
       "7c39ccb58f94bdbe57fad67af14692806c347d57         24     ...       \n",
       "28014b7339c6f16c897d4ae416d388a57cec60de         13     ...       \n",
       "f5a4f3299d5df22bc47653c1ecf7d036389c835d          0     ...       \n",
       "\n",
       "                                         fb_brand_page_likes  \\\n",
       "id                                                             \n",
       "e43a9b30900aab9765ce74c00665e24da573a56c          2738311.00   \n",
       "2b852dff5e7a3e4352681245f98178a56a52689b          2748890.00   \n",
       "74f30801f07e697b1804a420c37cddc54563401c          2736252.00   \n",
       "68c78eedcf54c1421649c1287bda9cd7cdc624ef          2714329.00   \n",
       "c616bb3ad332266cfa9dfc11b2d1cc2518b466d0          2750122.00   \n",
       "e30407d0a2a955d86fd7299f4df704bd8f9d7f7e          2714137.00   \n",
       "13fbafcfe4f592d7705b509fa4156fb1f30704d2          2737415.00   \n",
       "10d029b2ac847112ad6c076081c70041fcfe5fe3          2747080.00   \n",
       "ac204bbe8809292e367036ba771b54ca74182593                 nan   \n",
       "7491dfb6c163d82d7010eb957bef64dd17ceabd2          2747403.00   \n",
       "b60e623d5f4a6d1295d7415b784122f18fa8e871          2714352.00   \n",
       "de1121cdb0ba8b77f91e9a68c7b5c4009054a70d                 nan   \n",
       "5b9ee08340d9d6f6c0d6dca6042220bf4bcb2721          2745048.00   \n",
       "320c913f5a57cb5b013ec7be22d48390164dd1b4          2712352.00   \n",
       "b47452ed5f2cb6318349dfb6a3236caa0cbcdec5          2725035.00   \n",
       "c4b8b37c6ceab237e6a8a93e2e04a843eb09918a                 nan   \n",
       "18ced93ccf538cac448b4fb306877cb0947f2256          2749535.00   \n",
       "05982decb78deb49ed11c760acaef4e178c5c4d9                 nan   \n",
       "38b3de48740205c6e5fcdbdc8be85b48acc19711                 nan   \n",
       "8d7362720fea9158facbee073354948f3b846c28                 nan   \n",
       "0e4ad3fc3a855762723b2438525a82252f93d5d3                 nan   \n",
       "fa9ad17dbcd5db37d3dfb331a1426a8a3c7e3116          2709223.00   \n",
       "7c39ccb58f94bdbe57fad67af14692806c347d57          2738044.00   \n",
       "28014b7339c6f16c897d4ae416d388a57cec60de                 nan   \n",
       "f5a4f3299d5df22bc47653c1ecf7d036389c835d          7610637.00   \n",
       "\n",
       "                                                fb_brand_page_time  \\\n",
       "id                                                                   \n",
       "e43a9b30900aab9765ce74c00665e24da573a56c  2017-10-19T14:45:00.000Z   \n",
       "2b852dff5e7a3e4352681245f98178a56a52689b  2017-10-28T17:45:00.000Z   \n",
       "74f30801f07e697b1804a420c37cddc54563401c  2017-10-17T23:04:00.000Z   \n",
       "68c78eedcf54c1421649c1287bda9cd7cdc624ef  2017-10-09T19:21:00.000Z   \n",
       "c616bb3ad332266cfa9dfc11b2d1cc2518b466d0  2017-10-31T14:32:31.000Z   \n",
       "e30407d0a2a955d86fd7299f4df704bd8f9d7f7e  2017-10-09T00:28:00.000Z   \n",
       "13fbafcfe4f592d7705b509fa4156fb1f30704d2  2017-10-19T00:44:00.000Z   \n",
       "10d029b2ac847112ad6c076081c70041fcfe5fe3  2017-10-27T03:27:00.000Z   \n",
       "ac204bbe8809292e367036ba771b54ca74182593                       NaN   \n",
       "7491dfb6c163d82d7010eb957bef64dd17ceabd2  2017-10-27T16:20:27.000Z   \n",
       "b60e623d5f4a6d1295d7415b784122f18fa8e871  2017-10-09T23:32:00.000Z   \n",
       "de1121cdb0ba8b77f91e9a68c7b5c4009054a70d                       NaN   \n",
       "5b9ee08340d9d6f6c0d6dca6042220bf4bcb2721  2017-10-23T16:21:42.000Z   \n",
       "320c913f5a57cb5b013ec7be22d48390164dd1b4  2017-10-05T02:44:00.000Z   \n",
       "b47452ed5f2cb6318349dfb6a3236caa0cbcdec5  2017-10-12T17:24:22.000Z   \n",
       "c4b8b37c6ceab237e6a8a93e2e04a843eb09918a                       NaN   \n",
       "18ced93ccf538cac448b4fb306877cb0947f2256  2017-10-30T00:44:00.000Z   \n",
       "05982decb78deb49ed11c760acaef4e178c5c4d9                       NaN   \n",
       "38b3de48740205c6e5fcdbdc8be85b48acc19711                       NaN   \n",
       "8d7362720fea9158facbee073354948f3b846c28                       NaN   \n",
       "0e4ad3fc3a855762723b2438525a82252f93d5d3                       NaN   \n",
       "fa9ad17dbcd5db37d3dfb331a1426a8a3c7e3116  2017-10-02T04:01:42.000Z   \n",
       "7c39ccb58f94bdbe57fad67af14692806c347d57  2017-10-19T09:02:40.000Z   \n",
       "28014b7339c6f16c897d4ae416d388a57cec60de                       NaN   \n",
       "f5a4f3299d5df22bc47653c1ecf7d036389c835d  2017-10-09T09:08:24.000Z   \n",
       "\n",
       "                                          alexa_rank  response_score  \\\n",
       "id                                                                     \n",
       "e43a9b30900aab9765ce74c00665e24da573a56c         147            0.00   \n",
       "2b852dff5e7a3e4352681245f98178a56a52689b         147            1.00   \n",
       "74f30801f07e697b1804a420c37cddc54563401c         147            3.00   \n",
       "68c78eedcf54c1421649c1287bda9cd7cdc624ef         147            1.00   \n",
       "c616bb3ad332266cfa9dfc11b2d1cc2518b466d0         147            0.00   \n",
       "e30407d0a2a955d86fd7299f4df704bd8f9d7f7e         147            5.00   \n",
       "13fbafcfe4f592d7705b509fa4156fb1f30704d2         147            4.00   \n",
       "10d029b2ac847112ad6c076081c70041fcfe5fe3         147            8.00   \n",
       "ac204bbe8809292e367036ba771b54ca74182593         147            0.00   \n",
       "7491dfb6c163d82d7010eb957bef64dd17ceabd2         147           11.00   \n",
       "b60e623d5f4a6d1295d7415b784122f18fa8e871         147           11.00   \n",
       "de1121cdb0ba8b77f91e9a68c7b5c4009054a70d         147            0.00   \n",
       "5b9ee08340d9d6f6c0d6dca6042220bf4bcb2721         147           13.00   \n",
       "320c913f5a57cb5b013ec7be22d48390164dd1b4         147            8.00   \n",
       "b47452ed5f2cb6318349dfb6a3236caa0cbcdec5         147           10.00   \n",
       "c4b8b37c6ceab237e6a8a93e2e04a843eb09918a         147            2.00   \n",
       "18ced93ccf538cac448b4fb306877cb0947f2256         147           13.00   \n",
       "05982decb78deb49ed11c760acaef4e178c5c4d9         147            0.00   \n",
       "38b3de48740205c6e5fcdbdc8be85b48acc19711         147            1.00   \n",
       "8d7362720fea9158facbee073354948f3b846c28         147            1.00   \n",
       "0e4ad3fc3a855762723b2438525a82252f93d5d3         147            2.00   \n",
       "fa9ad17dbcd5db37d3dfb331a1426a8a3c7e3116         147            9.00   \n",
       "7c39ccb58f94bdbe57fad67af14692806c347d57         147            9.00   \n",
       "28014b7339c6f16c897d4ae416d388a57cec60de         147            3.00   \n",
       "f5a4f3299d5df22bc47653c1ecf7d036389c835d         386            0.00   \n",
       "\n",
       "                                          lead_score  front_score  \\\n",
       "id                                                                  \n",
       "e43a9b30900aab9765ce74c00665e24da573a56c       19.00        13.00   \n",
       "2b852dff5e7a3e4352681245f98178a56a52689b       19.00        13.00   \n",
       "74f30801f07e697b1804a420c37cddc54563401c       19.00        14.00   \n",
       "68c78eedcf54c1421649c1287bda9cd7cdc624ef       19.00        12.00   \n",
       "c616bb3ad332266cfa9dfc11b2d1cc2518b466d0       19.00         7.00   \n",
       "e30407d0a2a955d86fd7299f4df704bd8f9d7f7e       19.00        11.00   \n",
       "13fbafcfe4f592d7705b509fa4156fb1f30704d2       19.00        10.00   \n",
       "10d029b2ac847112ad6c076081c70041fcfe5fe3       19.00        12.00   \n",
       "ac204bbe8809292e367036ba771b54ca74182593       19.00        15.00   \n",
       "7491dfb6c163d82d7010eb957bef64dd17ceabd2       19.00        15.00   \n",
       "b60e623d5f4a6d1295d7415b784122f18fa8e871       19.00        14.00   \n",
       "de1121cdb0ba8b77f91e9a68c7b5c4009054a70d       19.00        13.00   \n",
       "5b9ee08340d9d6f6c0d6dca6042220bf4bcb2721       19.00        15.00   \n",
       "320c913f5a57cb5b013ec7be22d48390164dd1b4       19.00         9.00   \n",
       "b47452ed5f2cb6318349dfb6a3236caa0cbcdec5       19.00        11.00   \n",
       "c4b8b37c6ceab237e6a8a93e2e04a843eb09918a       19.00        14.00   \n",
       "18ced93ccf538cac448b4fb306877cb0947f2256       19.00        14.00   \n",
       "05982decb78deb49ed11c760acaef4e178c5c4d9       19.00        12.00   \n",
       "38b3de48740205c6e5fcdbdc8be85b48acc19711       19.00        13.00   \n",
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       "7c39ccb58f94bdbe57fad67af14692806c347d57       19.00         9.00   \n",
       "28014b7339c6f16c897d4ae416d388a57cec60de       19.00        14.00   \n",
       "f5a4f3299d5df22bc47653c1ecf7d036389c835d       16.00         1.00   \n",
       "\n",
       "                                          facebook_promotion_score  \\\n",
       "id                                                                   \n",
       "e43a9b30900aab9765ce74c00665e24da573a56c                     11.00   \n",
       "2b852dff5e7a3e4352681245f98178a56a52689b                     11.00   \n",
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       "68c78eedcf54c1421649c1287bda9cd7cdc624ef                     11.00   \n",
       "c616bb3ad332266cfa9dfc11b2d1cc2518b466d0                     11.00   \n",
       "e30407d0a2a955d86fd7299f4df704bd8f9d7f7e                     11.00   \n",
       "13fbafcfe4f592d7705b509fa4156fb1f30704d2                     11.00   \n",
       "10d029b2ac847112ad6c076081c70041fcfe5fe3                     11.00   \n",
       "ac204bbe8809292e367036ba771b54ca74182593                      0.00   \n",
       "7491dfb6c163d82d7010eb957bef64dd17ceabd2                     11.00   \n",
       "b60e623d5f4a6d1295d7415b784122f18fa8e871                     11.00   \n",
       "de1121cdb0ba8b77f91e9a68c7b5c4009054a70d                      0.00   \n",
       "5b9ee08340d9d6f6c0d6dca6042220bf4bcb2721                     11.00   \n",
       "320c913f5a57cb5b013ec7be22d48390164dd1b4                     11.00   \n",
       "b47452ed5f2cb6318349dfb6a3236caa0cbcdec5                     11.00   \n",
       "c4b8b37c6ceab237e6a8a93e2e04a843eb09918a                      0.00   \n",
       "18ced93ccf538cac448b4fb306877cb0947f2256                     11.00   \n",
       "05982decb78deb49ed11c760acaef4e178c5c4d9                      0.00   \n",
       "38b3de48740205c6e5fcdbdc8be85b48acc19711                      0.00   \n",
       "8d7362720fea9158facbee073354948f3b846c28                      0.00   \n",
       "0e4ad3fc3a855762723b2438525a82252f93d5d3                      0.00   \n",
       "fa9ad17dbcd5db37d3dfb331a1426a8a3c7e3116                     11.00   \n",
       "7c39ccb58f94bdbe57fad67af14692806c347d57                     11.00   \n",
       "28014b7339c6f16c897d4ae416d388a57cec60de                      0.00   \n",
       "f5a4f3299d5df22bc47653c1ecf7d036389c835d                     13.00   \n",
       "\n",
       "                                         promotion_score  attention_index  \\\n",
       "id                                                                          \n",
       "e43a9b30900aab9765ce74c00665e24da573a56c           43.00            43.00   \n",
       "2b852dff5e7a3e4352681245f98178a56a52689b           43.00            44.00   \n",
       "74f30801f07e697b1804a420c37cddc54563401c           44.00            47.00   \n",
       "68c78eedcf54c1421649c1287bda9cd7cdc624ef           42.00            43.00   \n",
       "c616bb3ad332266cfa9dfc11b2d1cc2518b466d0           37.00            37.00   \n",
       "e30407d0a2a955d86fd7299f4df704bd8f9d7f7e           41.00            46.00   \n",
       "13fbafcfe4f592d7705b509fa4156fb1f30704d2           40.00            44.00   \n",
       "10d029b2ac847112ad6c076081c70041fcfe5fe3           42.00            50.00   \n",
       "ac204bbe8809292e367036ba771b54ca74182593           34.00            34.00   \n",
       "7491dfb6c163d82d7010eb957bef64dd17ceabd2           45.00            56.00   \n",
       "b60e623d5f4a6d1295d7415b784122f18fa8e871           44.00            55.00   \n",
       "de1121cdb0ba8b77f91e9a68c7b5c4009054a70d           32.00            32.00   \n",
       "5b9ee08340d9d6f6c0d6dca6042220bf4bcb2721           45.00            58.00   \n",
       "320c913f5a57cb5b013ec7be22d48390164dd1b4           39.00            47.00   \n",
       "b47452ed5f2cb6318349dfb6a3236caa0cbcdec5           41.00            51.00   \n",
       "c4b8b37c6ceab237e6a8a93e2e04a843eb09918a           33.00            35.00   \n",
       "18ced93ccf538cac448b4fb306877cb0947f2256           44.00            57.00   \n",
       "05982decb78deb49ed11c760acaef4e178c5c4d9           31.00            31.00   \n",
       "38b3de48740205c6e5fcdbdc8be85b48acc19711           32.00            33.00   \n",
       "8d7362720fea9158facbee073354948f3b846c28           32.00            33.00   \n",
       "0e4ad3fc3a855762723b2438525a82252f93d5d3           33.00            35.00   \n",
       "fa9ad17dbcd5db37d3dfb331a1426a8a3c7e3116           40.00            49.00   \n",
       "7c39ccb58f94bdbe57fad67af14692806c347d57           39.00            48.00   \n",
       "28014b7339c6f16c897d4ae416d388a57cec60de           33.00            36.00   \n",
       "f5a4f3299d5df22bc47653c1ecf7d036389c835d           30.00            30.00   \n",
       "\n",
       "                                          score_diff  \n",
       "id                                                    \n",
       "e43a9b30900aab9765ce74c00665e24da573a56c       43.00  \n",
       "2b852dff5e7a3e4352681245f98178a56a52689b       42.00  \n",
       "74f30801f07e697b1804a420c37cddc54563401c       41.00  \n",
       "68c78eedcf54c1421649c1287bda9cd7cdc624ef       41.00  \n",
       "c616bb3ad332266cfa9dfc11b2d1cc2518b466d0       37.00  \n",
       "e30407d0a2a955d86fd7299f4df704bd8f9d7f7e       36.00  \n",
       "13fbafcfe4f592d7705b509fa4156fb1f30704d2       36.00  \n",
       "10d029b2ac847112ad6c076081c70041fcfe5fe3       34.00  \n",
       "ac204bbe8809292e367036ba771b54ca74182593       34.00  \n",
       "7491dfb6c163d82d7010eb957bef64dd17ceabd2       34.00  \n",
       "b60e623d5f4a6d1295d7415b784122f18fa8e871       33.00  \n",
       "de1121cdb0ba8b77f91e9a68c7b5c4009054a70d       32.00  \n",
       "5b9ee08340d9d6f6c0d6dca6042220bf4bcb2721       32.00  \n",
       "320c913f5a57cb5b013ec7be22d48390164dd1b4       31.00  \n",
       "b47452ed5f2cb6318349dfb6a3236caa0cbcdec5       31.00  \n",
       "c4b8b37c6ceab237e6a8a93e2e04a843eb09918a       31.00  \n",
       "18ced93ccf538cac448b4fb306877cb0947f2256       31.00  \n",
       "05982decb78deb49ed11c760acaef4e178c5c4d9       31.00  \n",
       "38b3de48740205c6e5fcdbdc8be85b48acc19711       31.00  \n",
       "8d7362720fea9158facbee073354948f3b846c28       31.00  \n",
       "0e4ad3fc3a855762723b2438525a82252f93d5d3       31.00  \n",
       "fa9ad17dbcd5db37d3dfb331a1426a8a3c7e3116       31.00  \n",
       "7c39ccb58f94bdbe57fad67af14692806c347d57       30.00  \n",
       "28014b7339c6f16c897d4ae416d388a57cec60de       30.00  \n",
       "f5a4f3299d5df22bc47653c1ecf7d036389c835d       30.00  \n",
       "\n",
       "[25 rows x 26 columns]"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# promoted but low response\n",
    "data.sort_values(\"score_diff\", ascending=False).head(25)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "      <th></th>\n",
       "      <th>url</th>\n",
       "      <th>headline</th>\n",
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       "      <td>Miami art professor turns American flags into ...</td>\n",
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       "      <td>-49.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>f9695aa2c3ffc63dd26bf44f6a0cb6db2f93c28d</th>\n",
       "      <td>http://www.foxnews.com/us/2017/10/08/vice-pres...</td>\n",
       "      <td>Vice President Mike Pence leaves Colts-49ers g...</td>\n",
       "      <td>2017-10-08 17:39:14.984</td>\n",
       "      <td>2017-10-08 17:30:30.000</td>\n",
       "      <td>904129</td>\n",
       "      <td>3142.79</td>\n",
       "      <td>2017-10-08T19:13:11.760Z</td>\n",
       "      <td>118524</td>\n",
       "      <td>749560</td>\n",
       "      <td>36045</td>\n",
       "      <td>...</td>\n",
       "      <td>nan</td>\n",
       "      <td>NaN</td>\n",
       "      <td>285</td>\n",
       "      <td>50.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>2.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>2.00</td>\n",
       "      <td>52.00</td>\n",
       "      <td>-48.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0ecdbba916a0f44b8091a64825d318312ceb86e1</th>\n",
       "      <td>https://www.nbcnews.com/storyline/hurricane-ha...</td>\n",
       "      <td>Former presidents call for unity at hurricane ...</td>\n",
       "      <td>2017-10-22 02:54:14.794</td>\n",
       "      <td>2017-10-22 02:51:38.000</td>\n",
       "      <td>83119</td>\n",
       "      <td>235.52</td>\n",
       "      <td>2017-10-22T05:16:11.007Z</td>\n",
       "      <td>2938</td>\n",
       "      <td>76430</td>\n",
       "      <td>3751</td>\n",
       "      <td>...</td>\n",
       "      <td>nan</td>\n",
       "      <td>NaN</td>\n",
       "      <td>826</td>\n",
       "      <td>49.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>50.00</td>\n",
       "      <td>-48.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>85451623cabf0c4f4b2a628b63c45a9c3d5223be</th>\n",
       "      <td>https://www.buzzfeed.com/juliegerstein/aparent...</td>\n",
       "      <td>Aparentemente muitos homens não estão limpando...</td>\n",
       "      <td>2017-10-20 17:16:27.237</td>\n",
       "      <td>2017-10-20 17:11:08.000</td>\n",
       "      <td>70541</td>\n",
       "      <td>54.90</td>\n",
       "      <td>2017-10-20T19:41:08.448Z</td>\n",
       "      <td>28801</td>\n",
       "      <td>37496</td>\n",
       "      <td>4244</td>\n",
       "      <td>...</td>\n",
       "      <td>nan</td>\n",
       "      <td>NaN</td>\n",
       "      <td>147</td>\n",
       "      <td>48.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>48.00</td>\n",
       "      <td>-48.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>dfdd5c1f0626392c60c7fc785753ac61e23a4a76</th>\n",
       "      <td>http://www.foxnews.com/politics/2017/10/05/veg...</td>\n",
       "      <td>Vegas survivor: Shot in leg or not, I'm standi...</td>\n",
       "      <td>2017-10-05 10:04:09.875</td>\n",
       "      <td>2017-10-05 09:10:49.000</td>\n",
       "      <td>382395</td>\n",
       "      <td>1039.10</td>\n",
       "      <td>2017-10-05T21:55:10.762Z</td>\n",
       "      <td>31082</td>\n",
       "      <td>335970</td>\n",
       "      <td>15343</td>\n",
       "      <td>...</td>\n",
       "      <td>nan</td>\n",
       "      <td>NaN</td>\n",
       "      <td>285</td>\n",
       "      <td>50.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>2.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>2.00</td>\n",
       "      <td>52.00</td>\n",
       "      <td>-48.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>506176e75a9998207c4d4391b4a6d891624d9578</th>\n",
       "      <td>http://www.foxnews.com/entertainment/2017/10/0...</td>\n",
       "      <td>Tom Petty rushed to hospital in full cardiac a...</td>\n",
       "      <td>2017-10-02 19:29:16.977</td>\n",
       "      <td>2017-10-02 19:23:32.000</td>\n",
       "      <td>101301</td>\n",
       "      <td>870.20</td>\n",
       "      <td>2017-10-02T20:12:06.132Z</td>\n",
       "      <td>26812</td>\n",
       "      <td>58352</td>\n",
       "      <td>16137</td>\n",
       "      <td>...</td>\n",
       "      <td>nan</td>\n",
       "      <td>NaN</td>\n",
       "      <td>285</td>\n",
       "      <td>50.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>2.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>2.00</td>\n",
       "      <td>52.00</td>\n",
       "      <td>-48.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>995586179a2b62c4c187efbb842341c2abbcf2ee</th>\n",
       "      <td>http://www.cnn.com/2014/10/16/health/dying-reg...</td>\n",
       "      <td>What the dying really regret</td>\n",
       "      <td>2017-10-25 17:43:29.996</td>\n",
       "      <td>2017-10-25 17:38:54.000</td>\n",
       "      <td>75132</td>\n",
       "      <td>0.11</td>\n",
       "      <td>2017-10-26T03:04:03.689Z</td>\n",
       "      <td>10061</td>\n",
       "      <td>41716</td>\n",
       "      <td>23355</td>\n",
       "      <td>...</td>\n",
       "      <td>nan</td>\n",
       "      <td>NaN</td>\n",
       "      <td>105</td>\n",
       "      <td>48.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>48.00</td>\n",
       "      <td>-48.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>e6eaeb88e30f277baf8afc2f97e192a3a3d27aa7</th>\n",
       "      <td>http://www.dailymail.co.uk/health/article-4978...</td>\n",
       "      <td>FDA to make smaller condoms for US men's small...</td>\n",
       "      <td>2017-10-13 18:49:25.881</td>\n",
       "      <td>2017-10-13 18:44:15.000</td>\n",
       "      <td>79292</td>\n",
       "      <td>52.82</td>\n",
       "      <td>2017-10-16T16:24:05.886Z</td>\n",
       "      <td>34180</td>\n",
       "      <td>39561</td>\n",
       "      <td>5551</td>\n",
       "      <td>...</td>\n",
       "      <td>nan</td>\n",
       "      <td>NaN</td>\n",
       "      <td>158</td>\n",
       "      <td>49.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>50.00</td>\n",
       "      <td>-48.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>93a629d08de6c04301eba6fc897114bc1bf289d8</th>\n",
       "      <td>http://www.foxnews.com/tech/2017/10/18/nurse-f...</td>\n",
       "      <td>Nurse fleeing California wildfires puts horse ...</td>\n",
       "      <td>2017-10-18 13:29:16.707</td>\n",
       "      <td>2017-10-18 13:23:23.000</td>\n",
       "      <td>73479</td>\n",
       "      <td>42.46</td>\n",
       "      <td>2017-10-19T00:48:10.628Z</td>\n",
       "      <td>5939</td>\n",
       "      <td>58527</td>\n",
       "      <td>9013</td>\n",
       "      <td>...</td>\n",
       "      <td>nan</td>\n",
       "      <td>NaN</td>\n",
       "      <td>285</td>\n",
       "      <td>48.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>49.00</td>\n",
       "      <td>-47.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28af9b5c0c790680105df76276c159c45958a969</th>\n",
       "      <td>https://www.independent.co.uk/life-style/gadge...</td>\n",
       "      <td>Bill Gates and Steve Jobs raised their kids te...</td>\n",
       "      <td>2017-10-24 12:37:19.509</td>\n",
       "      <td>2017-10-24 12:36:56.000</td>\n",
       "      <td>62002</td>\n",
       "      <td>24.79</td>\n",
       "      <td>2017-10-24T21:53:09.678Z</td>\n",
       "      <td>6642</td>\n",
       "      <td>42168</td>\n",
       "      <td>13192</td>\n",
       "      <td>...</td>\n",
       "      <td>nan</td>\n",
       "      <td>NaN</td>\n",
       "      <td>386</td>\n",
       "      <td>47.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>47.00</td>\n",
       "      <td>-47.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>c35287599493e1e4b27c3361a44f8226cd04cb70</th>\n",
       "      <td>https://www.theguardian.com/technology/2017/oc...</td>\n",
       "      <td>Facebook moving non-promoted posts out of news...</td>\n",
       "      <td>2017-10-23 14:16:05.569</td>\n",
       "      <td>2017-10-23 14:12:22.000</td>\n",
       "      <td>78338</td>\n",
       "      <td>726.25</td>\n",
       "      <td>2017-10-23T19:31:03.676Z</td>\n",
       "      <td>24161</td>\n",
       "      <td>47065</td>\n",
       "      <td>7112</td>\n",
       "      <td>...</td>\n",
       "      <td>nan</td>\n",
       "      <td>NaN</td>\n",
       "      <td>142</td>\n",
       "      <td>49.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>2.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>2.00</td>\n",
       "      <td>51.00</td>\n",
       "      <td>-47.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>e352ce2c14cfa3c5ded9f882bb90b9da05402e2e</th>\n",
       "      <td>https://www.buzzfeed.com/tatianafarah/foi-assi...</td>\n",
       "      <td>Foi assim que ficou um terreiro de candomblé a...</td>\n",
       "      <td>2017-10-04 12:52:17.858</td>\n",
       "      <td>2017-10-03 19:46:01.000</td>\n",
       "      <td>59119</td>\n",
       "      <td>172.94</td>\n",
       "      <td>2017-10-04T20:44:08.660Z</td>\n",
       "      <td>4796</td>\n",
       "      <td>51898</td>\n",
       "      <td>2425</td>\n",
       "      <td>...</td>\n",
       "      <td>nan</td>\n",
       "      <td>NaN</td>\n",
       "      <td>147</td>\n",
       "      <td>47.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>47.00</td>\n",
       "      <td>-47.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ca5664929841d69ccf73b822f25891f97e86076e</th>\n",
       "      <td>http://www.cnn.com/videos/politics/2017/10/18/...</td>\n",
       "      <td>Trump to widow: He knew what he signed up for ...</td>\n",
       "      <td>2017-10-18 02:59:11.292</td>\n",
       "      <td>2017-10-18 02:47:34.000</td>\n",
       "      <td>83934</td>\n",
       "      <td>104.68</td>\n",
       "      <td>2017-10-18T13:22:08.291Z</td>\n",
       "      <td>31597</td>\n",
       "      <td>41668</td>\n",
       "      <td>10669</td>\n",
       "      <td>...</td>\n",
       "      <td>nan</td>\n",
       "      <td>NaN</td>\n",
       "      <td>105</td>\n",
       "      <td>49.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>3.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>3.00</td>\n",
       "      <td>52.00</td>\n",
       "      <td>-46.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>e0d847f0bb693e793094a0c23a0eaf336825a13e</th>\n",
       "      <td>https://www.independent.co.uk/life-style/gadge...</td>\n",
       "      <td>Tesla is sending hundreds of battery packs to ...</td>\n",
       "      <td>2017-10-01 12:04:25.173</td>\n",
       "      <td>2017-10-01 12:00:00.000</td>\n",
       "      <td>52437</td>\n",
       "      <td>58.07</td>\n",
       "      <td>2017-10-01T21:31:03.254Z</td>\n",
       "      <td>1621</td>\n",
       "      <td>46157</td>\n",
       "      <td>4659</td>\n",
       "      <td>...</td>\n",
       "      <td>nan</td>\n",
       "      <td>NaN</td>\n",
       "      <td>386</td>\n",
       "      <td>46.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>46.00</td>\n",
       "      <td>-46.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50a7d9a142ba7e8e5658ce49ad9f91547f0d77a9</th>\n",
       "      <td>https://www.nytimes.com/2017/10/12/opinion/boy...</td>\n",
       "      <td>The Fake Wokeness of the Boy Scouts</td>\n",
       "      <td>2017-10-12 19:19:10.391</td>\n",
       "      <td>2017-10-12 19:15:39.000</td>\n",
       "      <td>60892</td>\n",
       "      <td>29.45</td>\n",
       "      <td>2017-10-13T14:41:09.376Z</td>\n",
       "      <td>20783</td>\n",
       "      <td>33141</td>\n",
       "      <td>6968</td>\n",
       "      <td>...</td>\n",
       "      <td>nan</td>\n",
       "      <td>NaN</td>\n",
       "      <td>120</td>\n",
       "      <td>47.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>48.00</td>\n",
       "      <td>-46.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>da37a2f01f73622f42e5beb27b378243862c0928</th>\n",
       "      <td>http://www.foxnews.com/entertainment/2017/10/1...</td>\n",
       "      <td>Jane Fonda says she's not proud of America</td>\n",
       "      <td>2017-10-17 12:04:15.903</td>\n",
       "      <td>2017-10-17 12:04:15.903</td>\n",
       "      <td>66001</td>\n",
       "      <td>65.07</td>\n",
       "      <td>2017-10-17T19:06:10.125Z</td>\n",
       "      <td>38311</td>\n",
       "      <td>22952</td>\n",
       "      <td>4738</td>\n",
       "      <td>...</td>\n",
       "      <td>nan</td>\n",
       "      <td>NaN</td>\n",
       "      <td>285</td>\n",
       "      <td>48.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>2.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>2.00</td>\n",
       "      <td>50.00</td>\n",
       "      <td>-46.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29d8cd062a9294cb9543c1241969947b11bd0607</th>\n",
       "      <td>https://www.washingtonpost.com/news/politics/w...</td>\n",
       "      <td>Pence, set to attend today’s Indianapolis Colt...</td>\n",
       "      <td>2017-10-08 17:29:09.707</td>\n",
       "      <td>2017-10-08 17:26:00.000</td>\n",
       "      <td>61817</td>\n",
       "      <td>324.48</td>\n",
       "      <td>2017-10-08T19:41:11.305Z</td>\n",
       "      <td>28310</td>\n",
       "      <td>29868</td>\n",
       "      <td>3639</td>\n",
       "      <td>...</td>\n",
       "      <td>nan</td>\n",
       "      <td>NaN</td>\n",
       "      <td>191</td>\n",
       "      <td>47.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>48.00</td>\n",
       "      <td>-46.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>abbed45b5d1204302548c2fb89448d7a9ee4ed3a</th>\n",
       "      <td>https://www.nytimes.com/2017/10/24/us/politics...</td>\n",
       "      <td>Partial Transcript: Jeff Flake’s Speech on the...</td>\n",
       "      <td>2017-10-24 19:31:12.448</td>\n",
       "      <td>2017-10-24 19:29:29.000</td>\n",
       "      <td>97127</td>\n",
       "      <td>306.80</td>\n",
       "      <td>2017-10-25T11:03:06.559Z</td>\n",
       "      <td>22181</td>\n",
       "      <td>62315</td>\n",
       "      <td>12631</td>\n",
       "      <td>...</td>\n",
       "      <td>nan</td>\n",
       "      <td>NaN</td>\n",
       "      <td>120</td>\n",
       "      <td>50.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>4.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>4.00</td>\n",
       "      <td>54.00</td>\n",
       "      <td>-46.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1c4f032c3222a7f9d02aa7ec5406f17503dd4fb8</th>\n",
       "      <td>http://yournewswire.com/morgan-freeman-jail-hi...</td>\n",
       "      <td>Morgan Freeman: 'Jailing Hillary' Best Way To ...</td>\n",
       "      <td>2017-10-29 19:19:22.587</td>\n",
       "      <td>2017-10-29 17:31:04.000</td>\n",
       "      <td>97780</td>\n",
       "      <td>41.09</td>\n",
       "      <td>2017-10-30T23:28:11.292Z</td>\n",
       "      <td>18882</td>\n",
       "      <td>64837</td>\n",
       "      <td>14061</td>\n",
       "      <td>...</td>\n",
       "      <td>27003.00</td>\n",
       "      <td>2017-10-30T13:51:01.000Z</td>\n",
       "      <td>22568</td>\n",
       "      <td>50.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>4.00</td>\n",
       "      <td>5.00</td>\n",
       "      <td>55.00</td>\n",
       "      <td>-45.00</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>25 rows × 26 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                                                                                        url  \\\n",
       "id                                                                                            \n",
       "71e81f0fcfa22600f98d3cc4ee27936533a4dd6d  https://www.nytimes.com/2017/10/19/opinion/lup...   \n",
       "46291bc86b71eb9568baeacc57bb29da4aa758c4  http://www.washingtonpost.com/video/politics/t...   \n",
       "8583d374f97cb80471a866e026c2a2114ac22b11  https://www.buzzfeed.com/karlazabludovsky/miss...   \n",
       "c49994bf9bef90ef3cf7ce862b2d09a51199cba1  https://www.rt.com/on-air/407672-white-house-n...   \n",
       "d6eab40c5d349770d620186b1b1bfdad866a6846  https://www.washingtonpost.com/news/answer-she...   \n",
       "d6bbd1d2c466964efa980539db7814a33b8c2e20  https://www.rt.com/on-air/407022-candlelit-mar...   \n",
       "93d2e448be2afe095cdf31db88283f7d635eb3c0  http://www.foxnews.com/us/2017/10/30/miami-art...   \n",
       "f9695aa2c3ffc63dd26bf44f6a0cb6db2f93c28d  http://www.foxnews.com/us/2017/10/08/vice-pres...   \n",
       "0ecdbba916a0f44b8091a64825d318312ceb86e1  https://www.nbcnews.com/storyline/hurricane-ha...   \n",
       "85451623cabf0c4f4b2a628b63c45a9c3d5223be  https://www.buzzfeed.com/juliegerstein/aparent...   \n",
       "dfdd5c1f0626392c60c7fc785753ac61e23a4a76  http://www.foxnews.com/politics/2017/10/05/veg...   \n",
       "506176e75a9998207c4d4391b4a6d891624d9578  http://www.foxnews.com/entertainment/2017/10/0...   \n",
       "995586179a2b62c4c187efbb842341c2abbcf2ee  http://www.cnn.com/2014/10/16/health/dying-reg...   \n",
       "e6eaeb88e30f277baf8afc2f97e192a3a3d27aa7  http://www.dailymail.co.uk/health/article-4978...   \n",
       "93a629d08de6c04301eba6fc897114bc1bf289d8  http://www.foxnews.com/tech/2017/10/18/nurse-f...   \n",
       "28af9b5c0c790680105df76276c159c45958a969  https://www.independent.co.uk/life-style/gadge...   \n",
       "c35287599493e1e4b27c3361a44f8226cd04cb70  https://www.theguardian.com/technology/2017/oc...   \n",
       "e352ce2c14cfa3c5ded9f882bb90b9da05402e2e  https://www.buzzfeed.com/tatianafarah/foi-assi...   \n",
       "ca5664929841d69ccf73b822f25891f97e86076e  http://www.cnn.com/videos/politics/2017/10/18/...   \n",
       "e0d847f0bb693e793094a0c23a0eaf336825a13e  https://www.independent.co.uk/life-style/gadge...   \n",
       "50a7d9a142ba7e8e5658ce49ad9f91547f0d77a9  https://www.nytimes.com/2017/10/12/opinion/boy...   \n",
       "da37a2f01f73622f42e5beb27b378243862c0928  http://www.foxnews.com/entertainment/2017/10/1...   \n",
       "29d8cd062a9294cb9543c1241969947b11bd0607  https://www.washingtonpost.com/news/politics/w...   \n",
       "abbed45b5d1204302548c2fb89448d7a9ee4ed3a  https://www.nytimes.com/2017/10/24/us/politics...   \n",
       "1c4f032c3222a7f9d02aa7ec5406f17503dd4fb8  http://yournewswire.com/morgan-freeman-jail-hi...   \n",
       "\n",
       "                                                                                   headline  \\\n",
       "id                                                                                            \n",
       "71e81f0fcfa22600f98d3cc4ee27936533a4dd6d    Lupita Nyong’o: What Harvey Weinstein Did to Me   \n",
       "46291bc86b71eb9568baeacc57bb29da4aa758c4  Trump says he 'met with the president of the V...   \n",
       "8583d374f97cb80471a866e026c2a2114ac22b11  Em vez de suas medidas, as candidatas a Miss P...   \n",
       "c49994bf9bef90ef3cf7ce862b2d09a51199cba1                    White House holds news briefing   \n",
       "d6eab40c5d349770d620186b1b1bfdad866a6846  9 million kids get health insurance under CHIP...   \n",
       "d6bbd1d2c466964efa980539db7814a33b8c2e20  Candlelit march held in Barcelona in solidarit...   \n",
       "93d2e448be2afe095cdf31db88283f7d635eb3c0  Miami art professor turns American flags into ...   \n",
       "f9695aa2c3ffc63dd26bf44f6a0cb6db2f93c28d  Vice President Mike Pence leaves Colts-49ers g...   \n",
       "0ecdbba916a0f44b8091a64825d318312ceb86e1  Former presidents call for unity at hurricane ...   \n",
       "85451623cabf0c4f4b2a628b63c45a9c3d5223be  Aparentemente muitos homens não estão limpando...   \n",
       "dfdd5c1f0626392c60c7fc785753ac61e23a4a76  Vegas survivor: Shot in leg or not, I'm standi...   \n",
       "506176e75a9998207c4d4391b4a6d891624d9578  Tom Petty rushed to hospital in full cardiac a...   \n",
       "995586179a2b62c4c187efbb842341c2abbcf2ee                       What the dying really regret   \n",
       "e6eaeb88e30f277baf8afc2f97e192a3a3d27aa7  FDA to make smaller condoms for US men's small...   \n",
       "93a629d08de6c04301eba6fc897114bc1bf289d8  Nurse fleeing California wildfires puts horse ...   \n",
       "28af9b5c0c790680105df76276c159c45958a969  Bill Gates and Steve Jobs raised their kids te...   \n",
       "c35287599493e1e4b27c3361a44f8226cd04cb70  Facebook moving non-promoted posts out of news...   \n",
       "e352ce2c14cfa3c5ded9f882bb90b9da05402e2e  Foi assim que ficou um terreiro de candomblé a...   \n",
       "ca5664929841d69ccf73b822f25891f97e86076e  Trump to widow: He knew what he signed up for ...   \n",
       "e0d847f0bb693e793094a0c23a0eaf336825a13e  Tesla is sending hundreds of battery packs to ...   \n",
       "50a7d9a142ba7e8e5658ce49ad9f91547f0d77a9                The Fake Wokeness of the Boy Scouts   \n",
       "da37a2f01f73622f42e5beb27b378243862c0928         Jane Fonda says she's not proud of America   \n",
       "29d8cd062a9294cb9543c1241969947b11bd0607  Pence, set to attend today’s Indianapolis Colt...   \n",
       "abbed45b5d1204302548c2fb89448d7a9ee4ed3a  Partial Transcript: Jeff Flake’s Speech on the...   \n",
       "1c4f032c3222a7f9d02aa7ec5406f17503dd4fb8  Morgan Freeman: 'Jailing Hillary' Best Way To ...   \n",
       "\n",
       "                                                      discovered  \\\n",
       "id                                                                 \n",
       "71e81f0fcfa22600f98d3cc4ee27936533a4dd6d 2017-10-19 23:10:05.465   \n",
       "46291bc86b71eb9568baeacc57bb29da4aa758c4 2017-10-13 15:04:21.372   \n",
       "8583d374f97cb80471a866e026c2a2114ac22b11 2017-10-31 12:34:10.273   \n",
       "c49994bf9bef90ef3cf7ce862b2d09a51199cba1 2017-10-24 19:54:26.936   \n",
       "d6eab40c5d349770d620186b1b1bfdad866a6846 2017-10-01 17:31:23.893   \n",
       "d6bbd1d2c466964efa980539db7814a33b8c2e20 2017-10-17 17:54:24.750   \n",
       "93d2e448be2afe095cdf31db88283f7d635eb3c0 2017-10-30 21:49:14.134   \n",
       "f9695aa2c3ffc63dd26bf44f6a0cb6db2f93c28d 2017-10-08 17:39:14.984   \n",
       "0ecdbba916a0f44b8091a64825d318312ceb86e1 2017-10-22 02:54:14.794   \n",
       "85451623cabf0c4f4b2a628b63c45a9c3d5223be 2017-10-20 17:16:27.237   \n",
       "dfdd5c1f0626392c60c7fc785753ac61e23a4a76 2017-10-05 10:04:09.875   \n",
       "506176e75a9998207c4d4391b4a6d891624d9578 2017-10-02 19:29:16.977   \n",
       "995586179a2b62c4c187efbb842341c2abbcf2ee 2017-10-25 17:43:29.996   \n",
       "e6eaeb88e30f277baf8afc2f97e192a3a3d27aa7 2017-10-13 18:49:25.881   \n",
       "93a629d08de6c04301eba6fc897114bc1bf289d8 2017-10-18 13:29:16.707   \n",
       "28af9b5c0c790680105df76276c159c45958a969 2017-10-24 12:37:19.509   \n",
       "c35287599493e1e4b27c3361a44f8226cd04cb70 2017-10-23 14:16:05.569   \n",
       "e352ce2c14cfa3c5ded9f882bb90b9da05402e2e 2017-10-04 12:52:17.858   \n",
       "ca5664929841d69ccf73b822f25891f97e86076e 2017-10-18 02:59:11.292   \n",
       "e0d847f0bb693e793094a0c23a0eaf336825a13e 2017-10-01 12:04:25.173   \n",
       "50a7d9a142ba7e8e5658ce49ad9f91547f0d77a9 2017-10-12 19:19:10.391   \n",
       "da37a2f01f73622f42e5beb27b378243862c0928 2017-10-17 12:04:15.903   \n",
       "29d8cd062a9294cb9543c1241969947b11bd0607 2017-10-08 17:29:09.707   \n",
       "abbed45b5d1204302548c2fb89448d7a9ee4ed3a 2017-10-24 19:31:12.448   \n",
       "1c4f032c3222a7f9d02aa7ec5406f17503dd4fb8 2017-10-29 19:19:22.587   \n",
       "\n",
       "                                                       published  \\\n",
       "id                                                                 \n",
       "71e81f0fcfa22600f98d3cc4ee27936533a4dd6d 2017-10-19 23:07:39.000   \n",
       "46291bc86b71eb9568baeacc57bb29da4aa758c4 2017-10-13 14:40:20.000   \n",
       "8583d374f97cb80471a866e026c2a2114ac22b11 2017-10-31 12:33:01.000   \n",
       "c49994bf9bef90ef3cf7ce862b2d09a51199cba1 2017-10-24 19:54:26.936   \n",
       "d6eab40c5d349770d620186b1b1bfdad866a6846 2017-10-01 17:26:15.000   \n",
       "d6bbd1d2c466964efa980539db7814a33b8c2e20 2017-10-17 17:52:46.000   \n",
       "93d2e448be2afe095cdf31db88283f7d635eb3c0 2017-10-30 18:16:40.000   \n",
       "f9695aa2c3ffc63dd26bf44f6a0cb6db2f93c28d 2017-10-08 17:30:30.000   \n",
       "0ecdbba916a0f44b8091a64825d318312ceb86e1 2017-10-22 02:51:38.000   \n",
       "85451623cabf0c4f4b2a628b63c45a9c3d5223be 2017-10-20 17:11:08.000   \n",
       "dfdd5c1f0626392c60c7fc785753ac61e23a4a76 2017-10-05 09:10:49.000   \n",
       "506176e75a9998207c4d4391b4a6d891624d9578 2017-10-02 19:23:32.000   \n",
       "995586179a2b62c4c187efbb842341c2abbcf2ee 2017-10-25 17:38:54.000   \n",
       "e6eaeb88e30f277baf8afc2f97e192a3a3d27aa7 2017-10-13 18:44:15.000   \n",
       "93a629d08de6c04301eba6fc897114bc1bf289d8 2017-10-18 13:23:23.000   \n",
       "28af9b5c0c790680105df76276c159c45958a969 2017-10-24 12:36:56.000   \n",
       "c35287599493e1e4b27c3361a44f8226cd04cb70 2017-10-23 14:12:22.000   \n",
       "e352ce2c14cfa3c5ded9f882bb90b9da05402e2e 2017-10-03 19:46:01.000   \n",
       "ca5664929841d69ccf73b822f25891f97e86076e 2017-10-18 02:47:34.000   \n",
       "e0d847f0bb693e793094a0c23a0eaf336825a13e 2017-10-01 12:00:00.000   \n",
       "50a7d9a142ba7e8e5658ce49ad9f91547f0d77a9 2017-10-12 19:15:39.000   \n",
       "da37a2f01f73622f42e5beb27b378243862c0928 2017-10-17 12:04:15.903   \n",
       "29d8cd062a9294cb9543c1241969947b11bd0607 2017-10-08 17:26:00.000   \n",
       "abbed45b5d1204302548c2fb89448d7a9ee4ed3a 2017-10-24 19:29:29.000   \n",
       "1c4f032c3222a7f9d02aa7ec5406f17503dd4fb8 2017-10-29 17:31:04.000   \n",
       "\n",
       "                                          fb_engagements  \\\n",
       "id                                                         \n",
       "71e81f0fcfa22600f98d3cc4ee27936533a4dd6d          220864   \n",
       "46291bc86b71eb9568baeacc57bb29da4aa758c4          108872   \n",
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       "1c4f032c3222a7f9d02aa7ec5406f17503dd4fb8           97780   \n",
       "\n",
       "                                          fb_max_engagements_per_min  \\\n",
       "id                                                                     \n",
       "71e81f0fcfa22600f98d3cc4ee27936533a4dd6d                      348.36   \n",
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       "f9695aa2c3ffc63dd26bf44f6a0cb6db2f93c28d                     3142.79   \n",
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       "85451623cabf0c4f4b2a628b63c45a9c3d5223be                       54.90   \n",
       "dfdd5c1f0626392c60c7fc785753ac61e23a4a76                     1039.10   \n",
       "506176e75a9998207c4d4391b4a6d891624d9578                      870.20   \n",
       "995586179a2b62c4c187efbb842341c2abbcf2ee                        0.11   \n",
       "e6eaeb88e30f277baf8afc2f97e192a3a3d27aa7                       52.82   \n",
       "93a629d08de6c04301eba6fc897114bc1bf289d8                       42.46   \n",
       "28af9b5c0c790680105df76276c159c45958a969                       24.79   \n",
       "c35287599493e1e4b27c3361a44f8226cd04cb70                      726.25   \n",
       "e352ce2c14cfa3c5ded9f882bb90b9da05402e2e                      172.94   \n",
       "ca5664929841d69ccf73b822f25891f97e86076e                      104.68   \n",
       "e0d847f0bb693e793094a0c23a0eaf336825a13e                       58.07   \n",
       "50a7d9a142ba7e8e5658ce49ad9f91547f0d77a9                       29.45   \n",
       "da37a2f01f73622f42e5beb27b378243862c0928                       65.07   \n",
       "29d8cd062a9294cb9543c1241969947b11bd0607                      324.48   \n",
       "abbed45b5d1204302548c2fb89448d7a9ee4ed3a                      306.80   \n",
       "1c4f032c3222a7f9d02aa7ec5406f17503dd4fb8                       41.09   \n",
       "\n",
       "                                         fb_max_engagements_per_min_time  \\\n",
       "id                                                                         \n",
       "71e81f0fcfa22600f98d3cc4ee27936533a4dd6d        2017-10-20T01:13:06.889Z   \n",
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       "abbed45b5d1204302548c2fb89448d7a9ee4ed3a        2017-10-25T11:03:06.559Z   \n",
       "1c4f032c3222a7f9d02aa7ec5406f17503dd4fb8        2017-10-30T23:28:11.292Z   \n",
       "\n",
       "                                          fb_comments  fb_reactions  \\\n",
       "id                                                                    \n",
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       "93d2e448be2afe095cdf31db88283f7d635eb3c0        45507         91575   \n",
       "f9695aa2c3ffc63dd26bf44f6a0cb6db2f93c28d       118524        749560   \n",
       "0ecdbba916a0f44b8091a64825d318312ceb86e1         2938         76430   \n",
       "85451623cabf0c4f4b2a628b63c45a9c3d5223be        28801         37496   \n",
       "dfdd5c1f0626392c60c7fc785753ac61e23a4a76        31082        335970   \n",
       "506176e75a9998207c4d4391b4a6d891624d9578        26812         58352   \n",
       "995586179a2b62c4c187efbb842341c2abbcf2ee        10061         41716   \n",
       "e6eaeb88e30f277baf8afc2f97e192a3a3d27aa7        34180         39561   \n",
       "93a629d08de6c04301eba6fc897114bc1bf289d8         5939         58527   \n",
       "28af9b5c0c790680105df76276c159c45958a969         6642         42168   \n",
       "c35287599493e1e4b27c3361a44f8226cd04cb70        24161         47065   \n",
       "e352ce2c14cfa3c5ded9f882bb90b9da05402e2e         4796         51898   \n",
       "ca5664929841d69ccf73b822f25891f97e86076e        31597         41668   \n",
       "e0d847f0bb693e793094a0c23a0eaf336825a13e         1621         46157   \n",
       "50a7d9a142ba7e8e5658ce49ad9f91547f0d77a9        20783         33141   \n",
       "da37a2f01f73622f42e5beb27b378243862c0928        38311         22952   \n",
       "29d8cd062a9294cb9543c1241969947b11bd0607        28310         29868   \n",
       "abbed45b5d1204302548c2fb89448d7a9ee4ed3a        22181         62315   \n",
       "1c4f032c3222a7f9d02aa7ec5406f17503dd4fb8        18882         64837   \n",
       "\n",
       "                                          fb_shares     ...      \\\n",
       "id                                                      ...       \n",
       "71e81f0fcfa22600f98d3cc4ee27936533a4dd6d      32812     ...       \n",
       "46291bc86b71eb9568baeacc57bb29da4aa758c4      12169     ...       \n",
       "8583d374f97cb80471a866e026c2a2114ac22b11       4072     ...       \n",
       "c49994bf9bef90ef3cf7ce862b2d09a51199cba1     142278     ...       \n",
       "d6eab40c5d349770d620186b1b1bfdad866a6846      24617     ...       \n",
       "d6bbd1d2c466964efa980539db7814a33b8c2e20     142314     ...       \n",
       "93d2e448be2afe095cdf31db88283f7d635eb3c0      20236     ...       \n",
       "f9695aa2c3ffc63dd26bf44f6a0cb6db2f93c28d      36045     ...       \n",
       "0ecdbba916a0f44b8091a64825d318312ceb86e1       3751     ...       \n",
       "85451623cabf0c4f4b2a628b63c45a9c3d5223be       4244     ...       \n",
       "dfdd5c1f0626392c60c7fc785753ac61e23a4a76      15343     ...       \n",
       "506176e75a9998207c4d4391b4a6d891624d9578      16137     ...       \n",
       "995586179a2b62c4c187efbb842341c2abbcf2ee      23355     ...       \n",
       "e6eaeb88e30f277baf8afc2f97e192a3a3d27aa7       5551     ...       \n",
       "93a629d08de6c04301eba6fc897114bc1bf289d8       9013     ...       \n",
       "28af9b5c0c790680105df76276c159c45958a969      13192     ...       \n",
       "c35287599493e1e4b27c3361a44f8226cd04cb70       7112     ...       \n",
       "e352ce2c14cfa3c5ded9f882bb90b9da05402e2e       2425     ...       \n",
       "ca5664929841d69ccf73b822f25891f97e86076e      10669     ...       \n",
       "e0d847f0bb693e793094a0c23a0eaf336825a13e       4659     ...       \n",
       "50a7d9a142ba7e8e5658ce49ad9f91547f0d77a9       6968     ...       \n",
       "da37a2f01f73622f42e5beb27b378243862c0928       4738     ...       \n",
       "29d8cd062a9294cb9543c1241969947b11bd0607       3639     ...       \n",
       "abbed45b5d1204302548c2fb89448d7a9ee4ed3a      12631     ...       \n",
       "1c4f032c3222a7f9d02aa7ec5406f17503dd4fb8      14061     ...       \n",
       "\n",
       "                                         fb_brand_page_likes  \\\n",
       "id                                                             \n",
       "71e81f0fcfa22600f98d3cc4ee27936533a4dd6d                 nan   \n",
       "46291bc86b71eb9568baeacc57bb29da4aa758c4                 nan   \n",
       "8583d374f97cb80471a866e026c2a2114ac22b11                 nan   \n",
       "c49994bf9bef90ef3cf7ce862b2d09a51199cba1                 nan   \n",
       "d6eab40c5d349770d620186b1b1bfdad866a6846                 nan   \n",
       "d6bbd1d2c466964efa980539db7814a33b8c2e20                 nan   \n",
       "93d2e448be2afe095cdf31db88283f7d635eb3c0                 nan   \n",
       "f9695aa2c3ffc63dd26bf44f6a0cb6db2f93c28d                 nan   \n",
       "0ecdbba916a0f44b8091a64825d318312ceb86e1                 nan   \n",
       "85451623cabf0c4f4b2a628b63c45a9c3d5223be                 nan   \n",
       "dfdd5c1f0626392c60c7fc785753ac61e23a4a76                 nan   \n",
       "506176e75a9998207c4d4391b4a6d891624d9578                 nan   \n",
       "995586179a2b62c4c187efbb842341c2abbcf2ee                 nan   \n",
       "e6eaeb88e30f277baf8afc2f97e192a3a3d27aa7                 nan   \n",
       "93a629d08de6c04301eba6fc897114bc1bf289d8                 nan   \n",
       "28af9b5c0c790680105df76276c159c45958a969                 nan   \n",
       "c35287599493e1e4b27c3361a44f8226cd04cb70                 nan   \n",
       "e352ce2c14cfa3c5ded9f882bb90b9da05402e2e                 nan   \n",
       "ca5664929841d69ccf73b822f25891f97e86076e                 nan   \n",
       "e0d847f0bb693e793094a0c23a0eaf336825a13e                 nan   \n",
       "50a7d9a142ba7e8e5658ce49ad9f91547f0d77a9                 nan   \n",
       "da37a2f01f73622f42e5beb27b378243862c0928                 nan   \n",
       "29d8cd062a9294cb9543c1241969947b11bd0607                 nan   \n",
       "abbed45b5d1204302548c2fb89448d7a9ee4ed3a                 nan   \n",
       "1c4f032c3222a7f9d02aa7ec5406f17503dd4fb8            27003.00   \n",
       "\n",
       "                                                fb_brand_page_time  \\\n",
       "id                                                                   \n",
       "71e81f0fcfa22600f98d3cc4ee27936533a4dd6d                       NaN   \n",
       "46291bc86b71eb9568baeacc57bb29da4aa758c4                       NaN   \n",
       "8583d374f97cb80471a866e026c2a2114ac22b11                       NaN   \n",
       "c49994bf9bef90ef3cf7ce862b2d09a51199cba1                       NaN   \n",
       "d6eab40c5d349770d620186b1b1bfdad866a6846                       NaN   \n",
       "d6bbd1d2c466964efa980539db7814a33b8c2e20                       NaN   \n",
       "93d2e448be2afe095cdf31db88283f7d635eb3c0                       NaN   \n",
       "f9695aa2c3ffc63dd26bf44f6a0cb6db2f93c28d                       NaN   \n",
       "0ecdbba916a0f44b8091a64825d318312ceb86e1                       NaN   \n",
       "85451623cabf0c4f4b2a628b63c45a9c3d5223be                       NaN   \n",
       "dfdd5c1f0626392c60c7fc785753ac61e23a4a76                       NaN   \n",
       "506176e75a9998207c4d4391b4a6d891624d9578                       NaN   \n",
       "995586179a2b62c4c187efbb842341c2abbcf2ee                       NaN   \n",
       "e6eaeb88e30f277baf8afc2f97e192a3a3d27aa7                       NaN   \n",
       "93a629d08de6c04301eba6fc897114bc1bf289d8                       NaN   \n",
       "28af9b5c0c790680105df76276c159c45958a969                       NaN   \n",
       "c35287599493e1e4b27c3361a44f8226cd04cb70                       NaN   \n",
       "e352ce2c14cfa3c5ded9f882bb90b9da05402e2e                       NaN   \n",
       "ca5664929841d69ccf73b822f25891f97e86076e                       NaN   \n",
       "e0d847f0bb693e793094a0c23a0eaf336825a13e                       NaN   \n",
       "50a7d9a142ba7e8e5658ce49ad9f91547f0d77a9                       NaN   \n",
       "da37a2f01f73622f42e5beb27b378243862c0928                       NaN   \n",
       "29d8cd062a9294cb9543c1241969947b11bd0607                       NaN   \n",
       "abbed45b5d1204302548c2fb89448d7a9ee4ed3a                       NaN   \n",
       "1c4f032c3222a7f9d02aa7ec5406f17503dd4fb8  2017-10-30T13:51:01.000Z   \n",
       "\n",
       "                                          alexa_rank  response_score  \\\n",
       "id                                                                     \n",
       "71e81f0fcfa22600f98d3cc4ee27936533a4dd6d         120           50.00   \n",
       "46291bc86b71eb9568baeacc57bb29da4aa758c4         191           50.00   \n",
       "8583d374f97cb80471a866e026c2a2114ac22b11         147           49.00   \n",
       "c49994bf9bef90ef3cf7ce862b2d09a51199cba1         365           50.00   \n",
       "d6eab40c5d349770d620186b1b1bfdad866a6846         191           50.00   \n",
       "d6bbd1d2c466964efa980539db7814a33b8c2e20         365           50.00   \n",
       "93d2e448be2afe095cdf31db88283f7d635eb3c0         285           50.00   \n",
       "f9695aa2c3ffc63dd26bf44f6a0cb6db2f93c28d         285           50.00   \n",
       "0ecdbba916a0f44b8091a64825d318312ceb86e1         826           49.00   \n",
       "85451623cabf0c4f4b2a628b63c45a9c3d5223be         147           48.00   \n",
       "dfdd5c1f0626392c60c7fc785753ac61e23a4a76         285           50.00   \n",
       "506176e75a9998207c4d4391b4a6d891624d9578         285           50.00   \n",
       "995586179a2b62c4c187efbb842341c2abbcf2ee         105           48.00   \n",
       "e6eaeb88e30f277baf8afc2f97e192a3a3d27aa7         158           49.00   \n",
       "93a629d08de6c04301eba6fc897114bc1bf289d8         285           48.00   \n",
       "28af9b5c0c790680105df76276c159c45958a969         386           47.00   \n",
       "c35287599493e1e4b27c3361a44f8226cd04cb70         142           49.00   \n",
       "e352ce2c14cfa3c5ded9f882bb90b9da05402e2e         147           47.00   \n",
       "ca5664929841d69ccf73b822f25891f97e86076e         105           49.00   \n",
       "e0d847f0bb693e793094a0c23a0eaf336825a13e         386           46.00   \n",
       "50a7d9a142ba7e8e5658ce49ad9f91547f0d77a9         120           47.00   \n",
       "da37a2f01f73622f42e5beb27b378243862c0928         285           48.00   \n",
       "29d8cd062a9294cb9543c1241969947b11bd0607         191           47.00   \n",
       "abbed45b5d1204302548c2fb89448d7a9ee4ed3a         120           50.00   \n",
       "1c4f032c3222a7f9d02aa7ec5406f17503dd4fb8       22568           50.00   \n",
       "\n",
       "                                          lead_score  front_score  \\\n",
       "id                                                                  \n",
       "71e81f0fcfa22600f98d3cc4ee27936533a4dd6d        0.00         0.00   \n",
       "46291bc86b71eb9568baeacc57bb29da4aa758c4        0.00         0.00   \n",
       "8583d374f97cb80471a866e026c2a2114ac22b11        0.00         0.00   \n",
       "c49994bf9bef90ef3cf7ce862b2d09a51199cba1        0.00         1.00   \n",
       "d6eab40c5d349770d620186b1b1bfdad866a6846        0.00         1.00   \n",
       "d6bbd1d2c466964efa980539db7814a33b8c2e20        0.00         1.00   \n",
       "93d2e448be2afe095cdf31db88283f7d635eb3c0        0.00         1.00   \n",
       "f9695aa2c3ffc63dd26bf44f6a0cb6db2f93c28d        0.00         2.00   \n",
       "0ecdbba916a0f44b8091a64825d318312ceb86e1        0.00         1.00   \n",
       "85451623cabf0c4f4b2a628b63c45a9c3d5223be        0.00         0.00   \n",
       "dfdd5c1f0626392c60c7fc785753ac61e23a4a76        0.00         2.00   \n",
       "506176e75a9998207c4d4391b4a6d891624d9578        0.00         2.00   \n",
       "995586179a2b62c4c187efbb842341c2abbcf2ee        0.00         0.00   \n",
       "e6eaeb88e30f277baf8afc2f97e192a3a3d27aa7        0.00         1.00   \n",
       "93a629d08de6c04301eba6fc897114bc1bf289d8        0.00         1.00   \n",
       "28af9b5c0c790680105df76276c159c45958a969        0.00         0.00   \n",
       "c35287599493e1e4b27c3361a44f8226cd04cb70        0.00         2.00   \n",
       "e352ce2c14cfa3c5ded9f882bb90b9da05402e2e        0.00         0.00   \n",
       "ca5664929841d69ccf73b822f25891f97e86076e        0.00         3.00   \n",
       "e0d847f0bb693e793094a0c23a0eaf336825a13e        0.00         0.00   \n",
       "50a7d9a142ba7e8e5658ce49ad9f91547f0d77a9        0.00         1.00   \n",
       "da37a2f01f73622f42e5beb27b378243862c0928        0.00         2.00   \n",
       "29d8cd062a9294cb9543c1241969947b11bd0607        0.00         1.00   \n",
       "abbed45b5d1204302548c2fb89448d7a9ee4ed3a        0.00         4.00   \n",
       "1c4f032c3222a7f9d02aa7ec5406f17503dd4fb8        0.00         1.00   \n",
       "\n",
       "                                          facebook_promotion_score  \\\n",
       "id                                                                   \n",
       "71e81f0fcfa22600f98d3cc4ee27936533a4dd6d                      0.00   \n",
       "46291bc86b71eb9568baeacc57bb29da4aa758c4                      0.00   \n",
       "8583d374f97cb80471a866e026c2a2114ac22b11                      0.00   \n",
       "c49994bf9bef90ef3cf7ce862b2d09a51199cba1                      0.00   \n",
       "d6eab40c5d349770d620186b1b1bfdad866a6846                      0.00   \n",
       "d6bbd1d2c466964efa980539db7814a33b8c2e20                      0.00   \n",
       "93d2e448be2afe095cdf31db88283f7d635eb3c0                      0.00   \n",
       "f9695aa2c3ffc63dd26bf44f6a0cb6db2f93c28d                      0.00   \n",
       "0ecdbba916a0f44b8091a64825d318312ceb86e1                      0.00   \n",
       "85451623cabf0c4f4b2a628b63c45a9c3d5223be                      0.00   \n",
       "dfdd5c1f0626392c60c7fc785753ac61e23a4a76                      0.00   \n",
       "506176e75a9998207c4d4391b4a6d891624d9578                      0.00   \n",
       "995586179a2b62c4c187efbb842341c2abbcf2ee                      0.00   \n",
       "e6eaeb88e30f277baf8afc2f97e192a3a3d27aa7                      0.00   \n",
       "93a629d08de6c04301eba6fc897114bc1bf289d8                      0.00   \n",
       "28af9b5c0c790680105df76276c159c45958a969                      0.00   \n",
       "c35287599493e1e4b27c3361a44f8226cd04cb70                      0.00   \n",
       "e352ce2c14cfa3c5ded9f882bb90b9da05402e2e                      0.00   \n",
       "ca5664929841d69ccf73b822f25891f97e86076e                      0.00   \n",
       "e0d847f0bb693e793094a0c23a0eaf336825a13e                      0.00   \n",
       "50a7d9a142ba7e8e5658ce49ad9f91547f0d77a9                      0.00   \n",
       "da37a2f01f73622f42e5beb27b378243862c0928                      0.00   \n",
       "29d8cd062a9294cb9543c1241969947b11bd0607                      0.00   \n",
       "abbed45b5d1204302548c2fb89448d7a9ee4ed3a                      0.00   \n",
       "1c4f032c3222a7f9d02aa7ec5406f17503dd4fb8                      4.00   \n",
       "\n",
       "                                         promotion_score  attention_index  \\\n",
       "id                                                                          \n",
       "71e81f0fcfa22600f98d3cc4ee27936533a4dd6d            0.00            50.00   \n",
       "46291bc86b71eb9568baeacc57bb29da4aa758c4            0.00            50.00   \n",
       "8583d374f97cb80471a866e026c2a2114ac22b11            0.00            49.00   \n",
       "c49994bf9bef90ef3cf7ce862b2d09a51199cba1            1.00            51.00   \n",
       "d6eab40c5d349770d620186b1b1bfdad866a6846            1.00            51.00   \n",
       "d6bbd1d2c466964efa980539db7814a33b8c2e20            1.00            51.00   \n",
       "93d2e448be2afe095cdf31db88283f7d635eb3c0            1.00            51.00   \n",
       "f9695aa2c3ffc63dd26bf44f6a0cb6db2f93c28d            2.00            52.00   \n",
       "0ecdbba916a0f44b8091a64825d318312ceb86e1            1.00            50.00   \n",
       "85451623cabf0c4f4b2a628b63c45a9c3d5223be            0.00            48.00   \n",
       "dfdd5c1f0626392c60c7fc785753ac61e23a4a76            2.00            52.00   \n",
       "506176e75a9998207c4d4391b4a6d891624d9578            2.00            52.00   \n",
       "995586179a2b62c4c187efbb842341c2abbcf2ee            0.00            48.00   \n",
       "e6eaeb88e30f277baf8afc2f97e192a3a3d27aa7            1.00            50.00   \n",
       "93a629d08de6c04301eba6fc897114bc1bf289d8            1.00            49.00   \n",
       "28af9b5c0c790680105df76276c159c45958a969            0.00            47.00   \n",
       "c35287599493e1e4b27c3361a44f8226cd04cb70            2.00            51.00   \n",
       "e352ce2c14cfa3c5ded9f882bb90b9da05402e2e            0.00            47.00   \n",
       "ca5664929841d69ccf73b822f25891f97e86076e            3.00            52.00   \n",
       "e0d847f0bb693e793094a0c23a0eaf336825a13e            0.00            46.00   \n",
       "50a7d9a142ba7e8e5658ce49ad9f91547f0d77a9            1.00            48.00   \n",
       "da37a2f01f73622f42e5beb27b378243862c0928            2.00            50.00   \n",
       "29d8cd062a9294cb9543c1241969947b11bd0607            1.00            48.00   \n",
       "abbed45b5d1204302548c2fb89448d7a9ee4ed3a            4.00            54.00   \n",
       "1c4f032c3222a7f9d02aa7ec5406f17503dd4fb8            5.00            55.00   \n",
       "\n",
       "                                          score_diff  \n",
       "id                                                    \n",
       "71e81f0fcfa22600f98d3cc4ee27936533a4dd6d      -50.00  \n",
       "46291bc86b71eb9568baeacc57bb29da4aa758c4      -50.00  \n",
       "8583d374f97cb80471a866e026c2a2114ac22b11      -49.00  \n",
       "c49994bf9bef90ef3cf7ce862b2d09a51199cba1      -49.00  \n",
       "d6eab40c5d349770d620186b1b1bfdad866a6846      -49.00  \n",
       "d6bbd1d2c466964efa980539db7814a33b8c2e20      -49.00  \n",
       "93d2e448be2afe095cdf31db88283f7d635eb3c0      -49.00  \n",
       "f9695aa2c3ffc63dd26bf44f6a0cb6db2f93c28d      -48.00  \n",
       "0ecdbba916a0f44b8091a64825d318312ceb86e1      -48.00  \n",
       "85451623cabf0c4f4b2a628b63c45a9c3d5223be      -48.00  \n",
       "dfdd5c1f0626392c60c7fc785753ac61e23a4a76      -48.00  \n",
       "506176e75a9998207c4d4391b4a6d891624d9578      -48.00  \n",
       "995586179a2b62c4c187efbb842341c2abbcf2ee      -48.00  \n",
       "e6eaeb88e30f277baf8afc2f97e192a3a3d27aa7      -48.00  \n",
       "93a629d08de6c04301eba6fc897114bc1bf289d8      -47.00  \n",
       "28af9b5c0c790680105df76276c159c45958a969      -47.00  \n",
       "c35287599493e1e4b27c3361a44f8226cd04cb70      -47.00  \n",
       "e352ce2c14cfa3c5ded9f882bb90b9da05402e2e      -47.00  \n",
       "ca5664929841d69ccf73b822f25891f97e86076e      -46.00  \n",
       "e0d847f0bb693e793094a0c23a0eaf336825a13e      -46.00  \n",
       "50a7d9a142ba7e8e5658ce49ad9f91547f0d77a9      -46.00  \n",
       "da37a2f01f73622f42e5beb27b378243862c0928      -46.00  \n",
       "29d8cd062a9294cb9543c1241969947b11bd0607      -46.00  \n",
       "abbed45b5d1204302548c2fb89448d7a9ee4ed3a      -46.00  \n",
       "1c4f032c3222a7f9d02aa7ec5406f17503dd4fb8      -45.00  \n",
       "\n",
       "[25 rows x 26 columns]"
      ]
     },
     "execution_count": 61,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# high response but not promoted\n",
    "data.sort_values(\"score_diff\", ascending=True).head(25)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Write that data to a file. Note that the scores here are provisional for two reasons:\n",
    "1. they should be using a rolling-month based on the article publication date to calculate medians/min/max etc, whereas in this workbook we as just using values for the month of May\n",
    "2. for analysis, we've rounded the numbers; we don't expect to do that for the actual scores"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "data.to_csv(\"articles_with_provisional_scores_2017-10-01_2017-10-31.csv\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "# Summary"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The attention index of an article is comprised of four components:\n",
    "\n",
    "- *lead score* (max 20 points) based on how long an article was the lead story on the publisher's home page, scaled by the traffic to that publisher\n",
    "- *front score* (max 15 points) based on how long an article was present on the publisher's home page, scaled by traffic to that publisher\n",
    "- *Facebook promotion score* (max 15 points) based on whether the article was promoted to the publisher's Facebook brand page, scaled by the reach of that brand page\n",
    "- *response score* (max 50 points) based on the number of Facebook engagements the article received, relative to other articles\n",
    "\n",
    "Or, in other words:\n",
    "\n",
    "\\begin{align}\n",
    "attentionIndex_a &= leadScore_a + frontScore_a + facebookPromotionScore_a + responseScore_a \\\\\n",
    "leadScore_a &= 20 \\cdot \\left(\\frac{\\min(minsAsLead_a, 60)}{alexaRank_a}\\right) \\cdot \\left( \\frac{\\min(alexaRank)}{60} \\right) \\\\\n",
    "frontScore_a &= \n",
    "15 \\cdot\n",
    "\\left(\\frac{\\min(minsOnFront_a, 1440)}{alexaRank_a \\cdot numArticlesOnFront_a}\\right) \\cdot\n",
    "\\left( \\frac{\\min(alexaRank \\cdot numArticlesOnFront)}{1440} \\right) \\\\\n",
    "facebookPromotion_a &= \n",
    "\\begin{cases}\n",
    " 0 \\text{ if not shared on brand page }\\\\\n",
    "   15 \\cdot \\frac{\\log(brandPageLikes_a) - \\log(\\min(brandPageLikes))}{\\log(\\max(brandPageLikes)) - \\log(\\min(brandPageLikes))}  \\text{ otherwise }\n",
    "\\end{cases}   \n",
    "\\\\\n",
    "responseScore_a &= \n",
    "\\begin{cases} \n",
    "   0 \\text{ if } engagements_a = 0 \\\\\n",
    "   50 \\cdot \n",
    "   \\frac{\\log(\\min(engagements_a,limit) + median(engagements)) - \\log(1 + median(engagements))}\n",
    "   {\\log(limit + median(engagements)) - \\log(1 + median(engagements))} \\text{ if } engagements_a > 0\n",
    "\\end{cases} \\\\\n",
    "\\end{align} "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
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