{
 "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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       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
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       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>url</th>\n",
       "      <th>headline</th>\n",
       "      <th>discovered</th>\n",
       "      <th>published</th>\n",
       "      <th>fb_engagements</th>\n",
       "      <th>fb_max_engagements_per_min</th>\n",
       "      <th>fb_max_engagements_per_min_time</th>\n",
       "      <th>fb_comments</th>\n",
       "      <th>fb_reactions</th>\n",
       "      <th>fb_shares</th>\n",
       "      <th>publisher_name</th>\n",
       "      <th>publisher_id</th>\n",
       "      <th>mins_as_lead</th>\n",
       "      <th>mins_on_front</th>\n",
       "      <th>num_articles_on_front</th>\n",
       "      <th>fb_brand_page</th>\n",
       "      <th>fb_brand_page_likes</th>\n",
       "      <th>fb_brand_page_time</th>\n",
       "      <th>alexa_rank</th>\n",
       "      <th>word_count</th>\n",
       "    </tr>\n",
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       "      <td>40</td>\n",
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       "      <td>Why Advertising Is a Poor Choice to Tackle the...</td>\n",
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       "      <td>Listen to ‘The Daily’: Mueller’s Strategy, and...</td>\n",
       "      <td>2017-11-01 11:14:11.268</td>\n",
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      "text/plain": [
       "                                                                                        url  \\\n",
       "id                                                                                            \n",
       "4b92d2afc3eb0becb58ee0f8a866e8bb3e0c6c3c  https://www.nytimes.com/2017/11/01/travel/new-...   \n",
       "eedd25b64e2cf37cf2198783311a1a823e26965a  https://www.nytimes.com/2017/11/01/world/austr...   \n",
       "68cf97046a5705f8c6826ab1fc3ce6e98e845a0d  https://www.thetimes.co.uk/article/in-pictures...   \n",
       "ff04a763b2f01746c4b4718bf2ad150468918bb0  https://www.nytimes.com/2017/11/01/upshot/why-...   \n",
       "1bf0cb152322d6d4ec6f0910f7bbaac27976fe6e  https://www.nytimes.com/2017/11/01/podcasts/th...   \n",
       "\n",
       "                                                                                   headline  \\\n",
       "id                                                                                            \n",
       "4b92d2afc3eb0becb58ee0f8a866e8bb3e0c6c3c  How I Rolled on the Crescent: New York to New ...   \n",
       "eedd25b64e2cf37cf2198783311a1a823e26965a  Australia Bans Climbing on Uluru, a Popular Si...   \n",
       "68cf97046a5705f8c6826ab1fc3ce6e98e845a0d                    In pictures: terror in New York   \n",
       "ff04a763b2f01746c4b4718bf2ad150468918bb0  Why Advertising Is a Poor Choice to Tackle the...   \n",
       "1bf0cb152322d6d4ec6f0910f7bbaac27976fe6e  Listen to ‘The Daily’: Mueller’s Strategy, and...   \n",
       "\n",
       "                                                      discovered  published  \\\n",
       "id                                                                            \n",
       "4b92d2afc3eb0becb58ee0f8a866e8bb3e0c6c3c 2017-11-01 10:39:10.125 2017-11-01   \n",
       "eedd25b64e2cf37cf2198783311a1a823e26965a 2017-11-01 10:54:17.225 2017-11-01   \n",
       "68cf97046a5705f8c6826ab1fc3ce6e98e845a0d 2017-11-01 09:59:07.929 2017-11-01   \n",
       "ff04a763b2f01746c4b4718bf2ad150468918bb0 2017-11-01 10:03:09.094 2017-11-01   \n",
       "1bf0cb152322d6d4ec6f0910f7bbaac27976fe6e 2017-11-01 11:14:11.268 2017-11-01   \n",
       "\n",
       "                                          fb_engagements  \\\n",
       "id                                                         \n",
       "4b92d2afc3eb0becb58ee0f8a866e8bb3e0c6c3c             198   \n",
       "eedd25b64e2cf37cf2198783311a1a823e26965a             592   \n",
       "68cf97046a5705f8c6826ab1fc3ce6e98e845a0d               2   \n",
       "ff04a763b2f01746c4b4718bf2ad150468918bb0             537   \n",
       "1bf0cb152322d6d4ec6f0910f7bbaac27976fe6e             164   \n",
       "\n",
       "                                          fb_max_engagements_per_min  \\\n",
       "id                                                                     \n",
       "4b92d2afc3eb0becb58ee0f8a866e8bb3e0c6c3c                    0.590325   \n",
       "eedd25b64e2cf37cf2198783311a1a823e26965a                    1.197048   \n",
       "68cf97046a5705f8c6826ab1fc3ce6e98e845a0d                    0.016398   \n",
       "ff04a763b2f01746c4b4718bf2ad150468918bb0                    1.986755   \n",
       "1bf0cb152322d6d4ec6f0910f7bbaac27976fe6e                    1.393823   \n",
       "\n",
       "                                         fb_max_engagements_per_min_time  \\\n",
       "id                                                                         \n",
       "4b92d2afc3eb0becb58ee0f8a866e8bb3e0c6c3c        2017-11-01T23:02:04.537Z   \n",
       "eedd25b64e2cf37cf2198783311a1a823e26965a        2017-11-01T13:07:04.833Z   \n",
       "68cf97046a5705f8c6826ab1fc3ce6e98e845a0d        2017-11-01T17:17:03.982Z   \n",
       "ff04a763b2f01746c4b4718bf2ad150468918bb0        2017-11-01T10:14:11.018Z   \n",
       "1bf0cb152322d6d4ec6f0910f7bbaac27976fe6e        2017-11-01T12:26:12.465Z   \n",
       "\n",
       "                                          fb_comments  fb_reactions  \\\n",
       "id                                                                    \n",
       "4b92d2afc3eb0becb58ee0f8a866e8bb3e0c6c3c           40           103   \n",
       "eedd25b64e2cf37cf2198783311a1a823e26965a           98           302   \n",
       "68cf97046a5705f8c6826ab1fc3ce6e98e845a0d            0             1   \n",
       "ff04a763b2f01746c4b4718bf2ad150468918bb0          112           291   \n",
       "1bf0cb152322d6d4ec6f0910f7bbaac27976fe6e           30           110   \n",
       "\n",
       "                                          fb_shares  publisher_name  \\\n",
       "id                                                                    \n",
       "4b92d2afc3eb0becb58ee0f8a866e8bb3e0c6c3c         55  New York Times   \n",
       "eedd25b64e2cf37cf2198783311a1a823e26965a        192  New York Times   \n",
       "68cf97046a5705f8c6826ab1fc3ce6e98e845a0d          1       The Times   \n",
       "ff04a763b2f01746c4b4718bf2ad150468918bb0        134  New York Times   \n",
       "1bf0cb152322d6d4ec6f0910f7bbaac27976fe6e         24  New York Times   \n",
       "\n",
       "                                            publisher_id  mins_as_lead  \\\n",
       "id                                                                       \n",
       "4b92d2afc3eb0becb58ee0f8a866e8bb3e0c6c3c     nytimes_com             0   \n",
       "eedd25b64e2cf37cf2198783311a1a823e26965a     nytimes_com             0   \n",
       "68cf97046a5705f8c6826ab1fc3ce6e98e845a0d  thetimes_co_uk             0   \n",
       "ff04a763b2f01746c4b4718bf2ad150468918bb0     nytimes_com             0   \n",
       "1bf0cb152322d6d4ec6f0910f7bbaac27976fe6e     nytimes_com             0   \n",
       "\n",
       "                                          mins_on_front  \\\n",
       "id                                                        \n",
       "4b92d2afc3eb0becb58ee0f8a866e8bb3e0c6c3c           2613   \n",
       "eedd25b64e2cf37cf2198783311a1a823e26965a           6475   \n",
       "68cf97046a5705f8c6826ab1fc3ce6e98e845a0d            840   \n",
       "ff04a763b2f01746c4b4718bf2ad150468918bb0           5825   \n",
       "1bf0cb152322d6d4ec6f0910f7bbaac27976fe6e           1375   \n",
       "\n",
       "                                          num_articles_on_front  \\\n",
       "id                                                                \n",
       "4b92d2afc3eb0becb58ee0f8a866e8bb3e0c6c3c                  118.0   \n",
       "eedd25b64e2cf37cf2198783311a1a823e26965a                  120.0   \n",
       "68cf97046a5705f8c6826ab1fc3ce6e98e845a0d                  275.0   \n",
       "ff04a763b2f01746c4b4718bf2ad150468918bb0                  119.0   \n",
       "1bf0cb152322d6d4ec6f0910f7bbaac27976fe6e                  121.0   \n",
       "\n",
       "                                          fb_brand_page  fb_brand_page_likes  \\\n",
       "id                                                                             \n",
       "4b92d2afc3eb0becb58ee0f8a866e8bb3e0c6c3c          False                  NaN   \n",
       "eedd25b64e2cf37cf2198783311a1a823e26965a           True           14837915.0   \n",
       "68cf97046a5705f8c6826ab1fc3ce6e98e845a0d          False                  NaN   \n",
       "ff04a763b2f01746c4b4718bf2ad150468918bb0           True           14830035.0   \n",
       "1bf0cb152322d6d4ec6f0910f7bbaac27976fe6e           True           14830043.0   \n",
       "\n",
       "                                                fb_brand_page_time  \\\n",
       "id                                                                   \n",
       "4b92d2afc3eb0becb58ee0f8a866e8bb3e0c6c3c                       NaN   \n",
       "eedd25b64e2cf37cf2198783311a1a823e26965a  2017-11-03T06:25:01.000Z   \n",
       "68cf97046a5705f8c6826ab1fc3ce6e98e845a0d                       NaN   \n",
       "ff04a763b2f01746c4b4718bf2ad150468918bb0  2017-11-01T10:00:34.000Z   \n",
       "1bf0cb152322d6d4ec6f0910f7bbaac27976fe6e  2017-11-01T11:23:06.000Z   \n",
       "\n",
       "                                          alexa_rank  word_count  \n",
       "id                                                                \n",
       "4b92d2afc3eb0becb58ee0f8a866e8bb3e0c6c3c         120         NaN  \n",
       "eedd25b64e2cf37cf2198783311a1a823e26965a         120         NaN  \n",
       "68cf97046a5705f8c6826ab1fc3ce6e98e845a0d        6435         NaN  \n",
       "ff04a763b2f01746c4b4718bf2ad150468918bb0         120         NaN  \n",
       "1bf0cb152322d6d4ec6f0910f7bbaac27976fe6e         120         NaN  "
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data = pd.read_csv(\"articles_2017-11-01_2017-11-30.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   155376.00\n",
       "mean      1117.87\n",
       "std       8083.39\n",
       "min          0.00\n",
       "50%         24.00\n",
       "75%        233.00\n",
       "90%       1454.00\n",
       "95%       4059.25\n",
       "99%      21166.75\n",
       "99.5%    33982.38\n",
       "99.9%    93932.13\n",
       "max     814679.00\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 no articles with more than 1 million engagements this month."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>url</th>\n",
       "      <th>headline</th>\n",
       "      <th>discovered</th>\n",
       "      <th>published</th>\n",
       "      <th>fb_engagements</th>\n",
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       "      <th>alexa_rank</th>\n",
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       "      <th></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",
       "      <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",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "Empty DataFrame\n",
       "Columns: [url, headline, discovered, published, fb_engagements, fb_max_engagements_per_min, fb_max_engagements_per_min_time, fb_comments, fb_reactions, fb_shares, publisher_name, publisher_id, mins_as_lead, mins_on_front, num_articles_on_front, fb_brand_page, fb_brand_page_likes, fb_brand_page_time, alexa_rank, word_count]\n",
       "Index: []"
      ]
     },
     "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 1,117, mode is zero, median is 24, 90th percentile is 1,453, 99th percentile is 21,166, 99.5th percentile is 33,982. The standard deviation is 8,083, 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>46</td>\n",
       "      <td>115733</td>\n",
       "      <td>1570.00</td>\n",
       "      <td>2515.93</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>bbc_co_uk</th>\n",
       "      <td>12497</td>\n",
       "      <td>9327679</td>\n",
       "      <td>32.00</td>\n",
       "      <td>746.39</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>breitbart_com</th>\n",
       "      <td>2702</td>\n",
       "      <td>11917358</td>\n",
       "      <td>224.50</td>\n",
       "      <td>4410.57</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>brexitcentral_com</th>\n",
       "      <td>52</td>\n",
       "      <td>30476</td>\n",
       "      <td>181.50</td>\n",
       "      <td>586.08</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>buzzfeed_com</th>\n",
       "      <td>1609</td>\n",
       "      <td>4482917</td>\n",
       "      <td>159.00</td>\n",
       "      <td>2786.15</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>cnn_com</th>\n",
       "      <td>3425</td>\n",
       "      <td>17299480</td>\n",
       "      <td>550.00</td>\n",
       "      <td>5050.94</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>dailymail_co_uk</th>\n",
       "      <td>23842</td>\n",
       "      <td>17151377</td>\n",
       "      <td>28.00</td>\n",
       "      <td>719.38</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>economist_com</th>\n",
       "      <td>581</td>\n",
       "      <td>190826</td>\n",
       "      <td>30.00</td>\n",
       "      <td>328.44</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>evolvepolitics_com</th>\n",
       "      <td>61</td>\n",
       "      <td>153821</td>\n",
       "      <td>1413.00</td>\n",
       "      <td>2521.66</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>foxnews_com</th>\n",
       "      <td>5323</td>\n",
       "      <td>15572831</td>\n",
       "      <td>74.00</td>\n",
       "      <td>2925.57</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ft_com</th>\n",
       "      <td>4997</td>\n",
       "      <td>344064</td>\n",
       "      <td>4.00</td>\n",
       "      <td>68.85</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>huffingtonpost_com</th>\n",
       "      <td>9772</td>\n",
       "      <td>13145495</td>\n",
       "      <td>11.00</td>\n",
       "      <td>1345.22</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>independent_co_uk</th>\n",
       "      <td>6567</td>\n",
       "      <td>8859577</td>\n",
       "      <td>36.00</td>\n",
       "      <td>1349.11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>indy100_com</th>\n",
       "      <td>545</td>\n",
       "      <td>765012</td>\n",
       "      <td>107.00</td>\n",
       "      <td>1403.69</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>lemonde_fr</th>\n",
       "      <td>3991</td>\n",
       "      <td>2567387</td>\n",
       "      <td>76.00</td>\n",
       "      <td>643.29</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>libdemvoice_org</th>\n",
       "      <td>170</td>\n",
       "      <td>2676</td>\n",
       "      <td>7.00</td>\n",
       "      <td>15.74</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mirror_co_uk</th>\n",
       "      <td>10121</td>\n",
       "      <td>6778308</td>\n",
       "      <td>46.00</td>\n",
       "      <td>669.73</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>nbcnews_com</th>\n",
       "      <td>2003</td>\n",
       "      <td>6196290</td>\n",
       "      <td>478.00</td>\n",
       "      <td>3093.50</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>newstatesman_com</th>\n",
       "      <td>526</td>\n",
       "      <td>83158</td>\n",
       "      <td>22.00</td>\n",
       "      <td>158.10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>npr_org</th>\n",
       "      <td>2102</td>\n",
       "      <td>6461653</td>\n",
       "      <td>160.00</td>\n",
       "      <td>3074.05</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>nytimes_com</th>\n",
       "      <td>4830</td>\n",
       "      <td>18352173</td>\n",
       "      <td>214.00</td>\n",
       "      <td>3799.62</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>order-order_com</th>\n",
       "      <td>267</td>\n",
       "      <td>95238</td>\n",
       "      <td>143.00</td>\n",
       "      <td>356.70</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>propublica_org</th>\n",
       "      <td>57</td>\n",
       "      <td>68028</td>\n",
       "      <td>365.00</td>\n",
       "      <td>1193.47</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>reuters_com</th>\n",
       "      <td>5952</td>\n",
       "      <td>1866563</td>\n",
       "      <td>23.00</td>\n",
       "      <td>313.60</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>rt_com</th>\n",
       "      <td>2691</td>\n",
       "      <td>2228324</td>\n",
       "      <td>207.00</td>\n",
       "      <td>828.07</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>skwawkbox_org</th>\n",
       "      <td>117</td>\n",
       "      <td>57044</td>\n",
       "      <td>284.00</td>\n",
       "      <td>487.56</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>telegraph_co_uk</th>\n",
       "      <td>7571</td>\n",
       "      <td>2685206</td>\n",
       "      <td>16.00</td>\n",
       "      <td>354.67</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>thecanary_co</th>\n",
       "      <td>251</td>\n",
       "      <td>363674</td>\n",
       "      <td>849.00</td>\n",
       "      <td>1448.90</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>theguardian_com</th>\n",
       "      <td>8493</td>\n",
       "      <td>10074837</td>\n",
       "      <td>137.00</td>\n",
       "      <td>1186.25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>thetimes_co_uk</th>\n",
       "      <td>9195</td>\n",
       "      <td>292184</td>\n",
       "      <td>1.00</td>\n",
       "      <td>31.78</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>washingtonpost_com</th>\n",
       "      <td>24278</td>\n",
       "      <td>14213560</td>\n",
       "      <td>0.00</td>\n",
       "      <td>585.45</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>westmonster_com</th>\n",
       "      <td>350</td>\n",
       "      <td>429874</td>\n",
       "      <td>40.00</td>\n",
       "      <td>1228.21</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>yournewswire_com</th>\n",
       "      <td>392</td>\n",
       "      <td>1517525</td>\n",
       "      <td>232.00</td>\n",
       "      <td>3871.24</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     46         115733 1570.00 2515.93\n",
       "bbc_co_uk                         12497        9327679   32.00  746.39\n",
       "breitbart_com                      2702       11917358  224.50 4410.57\n",
       "brexitcentral_com                    52          30476  181.50  586.08\n",
       "buzzfeed_com                       1609        4482917  159.00 2786.15\n",
       "cnn_com                            3425       17299480  550.00 5050.94\n",
       "dailymail_co_uk                   23842       17151377   28.00  719.38\n",
       "economist_com                       581         190826   30.00  328.44\n",
       "evolvepolitics_com                   61         153821 1413.00 2521.66\n",
       "foxnews_com                        5323       15572831   74.00 2925.57\n",
       "ft_com                             4997         344064    4.00   68.85\n",
       "huffingtonpost_com                 9772       13145495   11.00 1345.22\n",
       "independent_co_uk                  6567        8859577   36.00 1349.11\n",
       "indy100_com                         545         765012  107.00 1403.69\n",
       "lemonde_fr                         3991        2567387   76.00  643.29\n",
       "libdemvoice_org                     170           2676    7.00   15.74\n",
       "mirror_co_uk                      10121        6778308   46.00  669.73\n",
       "nbcnews_com                        2003        6196290  478.00 3093.50\n",
       "newstatesman_com                    526          83158   22.00  158.10\n",
       "npr_org                            2102        6461653  160.00 3074.05\n",
       "nytimes_com                        4830       18352173  214.00 3799.62\n",
       "order-order_com                     267          95238  143.00  356.70\n",
       "propublica_org                       57          68028  365.00 1193.47\n",
       "reuters_com                        5952        1866563   23.00  313.60\n",
       "rt_com                             2691        2228324  207.00  828.07\n",
       "skwawkbox_org                       117          57044  284.00  487.56\n",
       "telegraph_co_uk                    7571        2685206   16.00  354.67\n",
       "thecanary_co                        251         363674  849.00 1448.90\n",
       "theguardian_com                    8493       10074837  137.00 1186.25\n",
       "thetimes_co_uk                     9195         292184    1.00   31.78\n",
       "washingtonpost_com                24278       14213560    0.00  585.45\n",
       "westmonster_com                     350         429874   40.00 1228.21\n",
       "yournewswire_com                    392        1517525  232.00 3871.24"
      ]
     },
     "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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3ERWlSaqVSiX69Ol3X5sieHv7AAC+/XYnrl8vQFhYKPLz83D2bC7atWuHLl00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\nCQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10fffb518>"
      ]
     },
     "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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3vZ//1iOPPKb09AN68cXn1arV3brzzhby9/fXhQu5jja5ubny8/OXh4eHXn55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\nBvp/6+mGvqhS8vAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ec16c50>"
      ]
     },
     "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   124947.00\n",
       "mean         4.98\n",
       "std          1.76\n",
       "min          3.22\n",
       "25%          3.50\n",
       "50%          4.39\n",
       "75%          6.03\n",
       "max         11.45\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   124947.00\n",
       "mean        11.17\n",
       "std         10.74\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 0x103174c50>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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HzzzzjL788kvl5ubq9ddfj/TYAACAjSyF/rp16/Tyyy+H3rS3fft2vfDCC5EeGwAAsJGl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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11053b940>"
      ]
     },
     "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   155376.00\n",
       "mean         9.19\n",
       "std        103.71\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%      574.00\n",
       "99.9%     1219.00\n",
       "max      22314.00\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    4321.00\n",
       "mean      330.52\n",
       "std       529.72\n",
       "min         4.00\n",
       "25%        80.00\n",
       "50%       174.00\n",
       "75%       412.00\n",
       "90%       869.00\n",
       "95%      1105.00\n",
       "99%      1609.80\n",
       "99.5%    1938.40\n",
       "99.9%    4460.68\n",
       "max     22314.00\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 0x10a949860>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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PP/9cL7zwgl577TUdPHhQ8+fP14033ihJmj17tqZOnap169apsrJSbrdbfr9f6enpqq2t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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10a9f9390>"
      ]
     },
     "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 0x10b9d4198>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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Gv/T2S0FcDvONjLwjH+/Ix7fenlH2yve97t/66KTudVk+JCREERERnvcvueQS/u4cAIBu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\nAWieEPCPQHUFAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x111555f98>"
      ]
     },
     "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 0x10bf6d550>"
      ]
     },
     "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 0x10ba959e8>"
      ]
     },
     "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 0x10ec0ceb8>"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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zaO77LzEDKTRncNGH6P9bRESEbrnlFr333nsXFQoAANjHr0P0r7zyivdry7L06aefKiIi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\nUfAAABiIggcAwED/ByDiyAjzbQ33AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ce12390>"
      ]
     },
     "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 0x10c0b0b38>"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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3WXZ2NiZNmoTSpUtj6tSpNj8wI+OOzfd4eXkgNfWWzfeJEI2nRw6O8D0cKcaTNE8dIQ9H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\nQRQhhBBCiAAURBFCCCGECPB/fFM7O7Hcmw8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11052a5c0>"
      ]
     },
     "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 0x10c6c70f0>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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aBwAgHlHkAAAYjCIHAMBgFDkAAAajyAEAMBhFDgCAwShyAAAMRpEDAGCw/wO/\nOMdXt0grXwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10968a358>"
      ]
     },
     "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>46.00</td>\n",
       "      <td>5.26</td>\n",
       "      <td>0.47</td>\n",
       "      <td>2.13</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>95.00</td>\n",
       "      <td>12.89</td>\n",
       "      <td>1.14</td>\n",
       "      <td>5.26</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>183.00</td>\n",
       "      <td>8.43</td>\n",
       "      <td>0.94</td>\n",
       "      <td>3.48</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>39.00</td>\n",
       "      <td>4.49</td>\n",
       "      <td>0.63</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>11.75</td>\n",
       "      <td>1.16</td>\n",
       "      <td>3.01</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>201.00</td>\n",
       "      <td>12.27</td>\n",
       "      <td>1.97</td>\n",
       "      <td>2.15</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>165.00</td>\n",
       "      <td>11.45</td>\n",
       "      <td>1.58</td>\n",
       "      <td>2.77</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>65.00</td>\n",
       "      <td>7.65</td>\n",
       "      <td>1.56</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>24.00</td>\n",
       "      <td>5.13</td>\n",
       "      <td>0.00</td>\n",
       "      <td>5.13</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>106.00</td>\n",
       "      <td>10.47</td>\n",
       "      <td>1.07</td>\n",
       "      <td>0.88</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>93.00</td>\n",
       "      <td>7.21</td>\n",
       "      <td>2.11</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>177.00</td>\n",
       "      <td>10.92</td>\n",
       "      <td>1.04</td>\n",
       "      <td>2.79</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>136.00</td>\n",
       "      <td>9.75</td>\n",
       "      <td>1.33</td>\n",
       "      <td>1.68</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>192.00</td>\n",
       "      <td>5.52</td>\n",
       "      <td>2.00</td>\n",
       "      <td>0.59</td>\n",
       "      <td>3.87</td>\n",
       "      <td>7.04</td>\n",
       "      <td>7.04</td>\n",
       "      <td>7.04</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>lemonde_fr</th>\n",
       "      <td>162.00</td>\n",
       "      <td>8.74</td>\n",
       "      <td>1.73</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>146.00</td>\n",
       "      <td>4.58</td>\n",
       "      <td>0.52</td>\n",
       "      <td>1.49</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>317.00</td>\n",
       "      <td>8.65</td>\n",
       "      <td>1.37</td>\n",
       "      <td>2.29</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>109.00</td>\n",
       "      <td>8.85</td>\n",
       "      <td>0.74</td>\n",
       "      <td>1.34</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>64.00</td>\n",
       "      <td>6.04</td>\n",
       "      <td>1.03</td>\n",
       "      <td>0.42</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>163.00</td>\n",
       "      <td>8.89</td>\n",
       "      <td>1.68</td>\n",
       "      <td>0.63</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>53.00</td>\n",
       "      <td>12.27</td>\n",
       "      <td>1.60</td>\n",
       "      <td>1.04</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>258.00</td>\n",
       "      <td>4.48</td>\n",
       "      <td>1.59</td>\n",
       "      <td>0.39</td>\n",
       "      <td>3.27</td>\n",
       "      <td>5.68</td>\n",
       "      <td>5.78</td>\n",
       "      <td>5.78</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>propublica_org</th>\n",
       "      <td>24.00</td>\n",
       "      <td>5.80</td>\n",
       "      <td>1.36</td>\n",
       "      <td>0.52</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>90.00</td>\n",
       "      <td>9.24</td>\n",
       "      <td>1.73</td>\n",
       "      <td>0.81</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>128.00</td>\n",
       "      <td>9.22</td>\n",
       "      <td>2.50</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>116.00</td>\n",
       "      <td>4.70</td>\n",
       "      <td>0.92</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>84.00</td>\n",
       "      <td>9.87</td>\n",
       "      <td>1.38</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>228.00</td>\n",
       "      <td>4.70</td>\n",
       "      <td>1.70</td>\n",
       "      <td>0.52</td>\n",
       "      <td>3.52</td>\n",
       "      <td>5.18</td>\n",
       "      <td>6.21</td>\n",
       "      <td>6.21</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>theguardian_com</th>\n",
       "      <td>141.00</td>\n",
       "      <td>11.49</td>\n",
       "      <td>2.01</td>\n",
       "      <td>2.02</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>73.00</td>\n",
       "      <td>6.82</td>\n",
       "      <td>0.21</td>\n",
       "      <td>5.02</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>90.00</td>\n",
       "      <td>11.17</td>\n",
       "      <td>1.20</td>\n",
       "      <td>3.62</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>77.00</td>\n",
       "      <td>4.71</td>\n",
       "      <td>1.23</td>\n",
       "      <td>0.78</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>174.00</td>\n",
       "      <td>5.68</td>\n",
       "      <td>0.68</td>\n",
       "      <td>2.39</td>\n",
       "      <td>5.79</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  46.00  5.26 0.47 2.13  5.33  5.33  5.33   \n",
       "bbc_co_uk                         95.00 12.89 1.14 5.26 13.15 13.15 13.15   \n",
       "breitbart_com                    183.00  8.43 0.94 3.48  8.69  8.69  8.69   \n",
       "brexitcentral_com                 39.00  4.49 0.63 0.69  4.59  4.59  4.59   \n",
       "buzzfeed_com                     302.00 11.75 1.16 3.01 12.02 12.02 12.02   \n",
       "cnn_com                          201.00 12.27 1.97 2.15 12.89 12.89 12.89   \n",
       "dailymail_co_uk                  165.00 11.45 1.58 2.77 11.85 11.85 11.85   \n",
       "economist_com                     65.00  7.65 1.56 0.53  7.99  7.99  7.99   \n",
       "evolvepolitics_com                24.00  5.13 0.00 5.13  5.13  5.13  5.13   \n",
       "foxnews_com                      106.00 10.47 1.07 0.88 10.61 10.61 10.61   \n",
       "ft_com                            93.00  7.21 2.11 0.54  8.14  8.14  8.14   \n",
       "huffingtonpost_com               177.00 10.92 1.04 2.79 11.17 11.17 11.17   \n",
       "independent_co_uk                136.00  9.75 1.33 1.68 10.07 10.07 10.07   \n",
       "indy100_com                      192.00  5.52 2.00 0.59  3.87  7.04  7.04   \n",
       "lemonde_fr                       162.00  8.74 1.73 0.62  9.34  9.34  9.34   \n",
       "libdemvoice_org                  146.00  4.58 0.52 1.49  4.71  4.71  4.71   \n",
       "mirror_co_uk                     317.00  8.65 1.37 2.29  9.15  9.15  9.15   \n",
       "nbcnews_com                      109.00  8.85 0.74 1.34  8.93  8.93  8.93   \n",
       "newstatesman_com                  64.00  6.04 1.03 0.42  6.35  6.35  6.35   \n",
       "npr_org                          163.00  8.89 1.68 0.63  9.39  9.39  9.39   \n",
       "nytimes_com                       53.00 12.27 1.60 1.04 12.53 12.53 12.53   \n",
       "order-order_com                  258.00  4.48 1.59 0.39  3.27  5.68  5.78   \n",
       "propublica_org                    24.00  5.80 1.36 0.52  6.20  6.20  6.20   \n",
       "reuters_com                       90.00  9.24 1.73 0.81  9.66  9.66  9.66   \n",
       "rt_com                           128.00  9.22 2.50 0.85 10.17 10.17 10.17   \n",
       "skwawkbox_org                    116.00  4.70 0.92 0.42  5.03  5.03  5.03   \n",
       "telegraph_co_uk                   84.00  9.87 1.38 0.85 10.15 10.15 10.15   \n",
       "thecanary_co                     228.00  4.70 1.70 0.52  3.52  5.18  6.21   \n",
       "theguardian_com                  141.00 11.49 2.01 2.02 12.11 12.11 12.11   \n",
       "thetimes_co_uk                    73.00  6.82 0.21 5.02  6.84  6.84  6.84   \n",
       "washingtonpost_com                90.00 11.17 1.20 3.62 11.42 11.42 11.42   \n",
       "westmonster_com                   77.00  4.71 1.23 0.78  5.22  5.22  5.22   \n",
       "yournewswire_com                 174.00  5.68 0.68 2.39  5.79  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 0x10d0c1eb8>"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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MkoiIiIg0MEkiIiIi0sAkiYiIiEiDfXa/kJqaiunTp+PixYtwcHDAzJkzUaVKldwoGxER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\nwC/nwpMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ce2c550>"
      ]
     },
     "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 0x10d9fef60>"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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sWrRI0g+HEBcuXNhmJHukl/3792vatGnat2+fnE6nPB5PVFy9tL333wceeECV\nlZURea2c8uEOAIBpTvnd8gAAmIZwBwDAMIQ7AACGIdwBADAM4Q4AgGEIdwAADEO4AwBgGMIdAADD\n/D8761G9yAKadwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10d0bb128>"
      ]
     },
     "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 0x10eb56cc0>"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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FCv3fQa6UlBQ4OTlZPO/g4ICUlJQ8n89LQsKDpz7v7OyIuDhtRZpWMuLpifEyfRZriFEQ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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10d061978>"
      ]
     },
     "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     151057\n",
       "1.00         47\n",
       "2.00         34\n",
       "3.00         54\n",
       "4.00         75\n",
       "5.00         78\n",
       "6.00         67\n",
       "7.00        272\n",
       "8.00        303\n",
       "9.00        312\n",
       "10.00       199\n",
       "11.00       193\n",
       "12.00        89\n",
       "13.00       101\n",
       "14.00       556\n",
       "15.00       375\n",
       "16.00       320\n",
       "17.00       280\n",
       "18.00       244\n",
       "19.00       403\n",
       "20.00       317\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 0x10eddc390>"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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IAABQUIIQAACgoAQhAABAQQlCAACAghKEAAAABSUIAQAACkoQAgAAFJQgBAAA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\npDYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10db2cc50>"
      ]
     },
     "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     72664\n",
       "2.00      6937\n",
       "3.00      4459\n",
       "4.00      3846\n",
       "5.00       845\n",
       "6.00       539\n",
       "7.00       513\n",
       "8.00       706\n",
       "9.00       678\n",
       "10.00      222\n",
       "11.00      339\n",
       "12.00      298\n",
       "13.00      145\n",
       "14.00       96\n",
       "15.00       47\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      46.00\n",
       "bbc_co_uk                          15119.00\n",
       "breitbart_com                       2606.00\n",
       "brexitcentral_com                     52.00\n",
       "buzzfeed_com                        9698.00\n",
       "cnn_com                            11792.00\n",
       "dailymail_co_uk                    13965.00\n",
       "economist_com                        319.00\n",
       "evolvepolitics_com                    60.00\n",
       "foxnews_com                         6473.00\n",
       "ft_com                              3167.00\n",
       "huffingtonpost_com                  7534.00\n",
       "independent_co_uk                   4431.00\n",
       "indy100_com                          534.00\n",
       "lemonde_fr                          3972.00\n",
       "libdemvoice_org                      170.00\n",
       "mirror_co_uk                        9502.00\n",
       "nbcnews_com                         1937.00\n",
       "newstatesman_com                     515.00\n",
       "npr_org                             2449.00\n",
       "nytimes_com                         9488.00\n",
       "order-order_com                      267.00\n",
       "propublica_org                        57.00\n",
       "reuters_com                         6863.00\n",
       "rt_com                              4421.00\n",
       "skwawkbox_org                        117.00\n",
       "telegraph_co_uk                     4950.00\n",
       "thecanary_co                         249.00\n",
       "theguardian_com                    12252.00\n",
       "thetimes_co_uk                      9155.00\n",
       "washingtonpost_com                  8679.00\n",
       "westmonster_com                      327.00\n",
       "yournewswire_com                     392.00\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",
       "4b92d2afc3eb0becb58ee0f8a866e8bb3e0c6c3c   4.00\n",
       "eedd25b64e2cf37cf2198783311a1a823e26965a   4.00\n",
       "68cf97046a5705f8c6826ab1fc3ce6e98e845a0d   1.00\n",
       "ff04a763b2f01746c4b4718bf2ad150468918bb0   4.00\n",
       "1bf0cb152322d6d4ec6f0910f7bbaac27976fe6e   4.00\n",
       "60192d56f7ff0332b325c51b3a9c5ac59d42c525   1.00\n",
       "40a59853e4642a4ababa6938176089b8775c4016   1.00\n",
       "d1e05106c3ec699a37bf8f26ab63e4dbebcd4971   4.00\n",
       "ed61f808ac7756c2d73dfdf6855c34786bc9de02   2.00\n",
       "bbadee9289eea2f0b6b6220f9f613578c37ef621   1.00\n",
       "063a022e6f66ec2763b22a815ec25471e22287e3   1.00\n",
       "478f397e1c731872fba60a4189bc72c924cfc847   1.00\n",
       "17f0678815a01ee8e4914e30d612c294c78c68b8   1.00\n",
       "1b7a6a9b1aea0996b27cf0f5460fa23bdd179067   1.00\n",
       "348163ba67b3cd7e989236ce8a739b74f81cd67e   1.00\n",
       "99f97d2f01a3c2dc40da166b18abacdbc85b9634   1.00\n",
       "587272809793b00754536e86b8f535cc5fbc9700   1.00\n",
       "57326012898026faf47a6e5969e4e3a6ebe9005d   1.00\n",
       "13ac494c2c23dfe4395decfd9882e4851a1cd679   1.00\n",
       "e3a02a337c53a78300d7e3c238a7ba2084705106   1.00\n",
       "d00575f8a0fddb2cf4481ad4844aea24f481d07c   1.00\n",
       "079efcd636a42a2302cdc5f8ec20ea640189dd03   1.00\n",
       "487fb90db5d16301835c7c6b85e27183ab20f96d   1.00\n",
       "13316d1e0c194706fed4d779a5fbc431aa845187   1.00\n",
       "89444e353ce245b819ed5e42a16bfbd31df8a367   1.00\n",
       "faf1c9acda717cd3729d4093cec850f5fda1a615   1.00\n",
       "a96249330370dd853da8021f2c1f42a83a2e9c76   1.00\n",
       "bb78be89d6a53016f4378af44c02edc5a29c7eca   1.00\n",
       "0da8e2a7525e7d8f5037f87d00641bb7def15a0e   1.00\n",
       "710e0b5316bc13656fda544dbcea145c1e62094b   1.00\n",
       "                                           ... \n",
       "4945d0f879fe8c25617b8d0f04e5395d0d02c6a7   0.00\n",
       "b7d2aa4539fd0bcc0ad944702db6f3353e3437f3   1.00\n",
       "f6d35f22cec3ec9e9d1ec62f1b9b9b2cab96ba3b   0.00\n",
       "3c35b93d4d2e7273ac60fcf566ec04cd2ed52040   0.00\n",
       "a8d249980496930270c3f62ea40437b569b4a576   1.00\n",
       "35d67981fc107b0db3b7e2c380dc6c48d1a276a7   1.00\n",
       "780d2a1296546116e450fba4fd0fb48e312fbb6f   0.00\n",
       "5d838bb1a1bd01e170c8e46e77f9a6d042e910c0   0.00\n",
       "fdb933725e53ed0d1cbb57bacf915e72e42d6976   1.00\n",
       "0e330800c766a79bb09a8750b3e2f2a0f3b495a9   1.00\n",
       "ed642f48391d369b5d362c3bd0a58a9441b2e47d   2.00\n",
       "00b2260e4769744ec5cf2dc1973736cf26113947   1.00\n",
       "3c262b96680f65dcfcce7b33c0fc9a5c42e5ae06   0.00\n",
       "7c426e09e5f44abd8316c21e2d753c67b53c6b3b   0.00\n",
       "20600f6fd9847e684df22803751f6c1ea4854fc4   2.00\n",
       "a3cf9f323bb8e614c64ac8528216820b752fe965   0.00\n",
       "0272fffeb0b5bb264a2ae049a34f101303d73350   0.00\n",
       "bc4c1078dd7ee60f67d89c574aa2ead98b4a7f6a   1.00\n",
       "8953c649cea6fad178563a9630ac88cb37f45515   0.00\n",
       "b545fcbbc649daa5be3e2f678de536e2cd3eb8cc   1.00\n",
       "1ab07de99305bb0052286646d8619c73aa47b6a8   0.00\n",
       "302a10f2a9db8c489f079ff7cf04ec43967b899c   0.00\n",
       "e0717c56dc5adbb093e3061d99985f2a7e32a78d   0.00\n",
       "2e6ec6e3dcbcee6d16eaf7f2d6423bbf95ee243d   1.00\n",
       "83fbd4044262f67fe0582658b64b69644013992a   0.00\n",
       "1b578330a91e65cb11e9a5ce7ea7770ff0c0c2dd   3.00\n",
       "cec0dd5ed9522d45461cad6451329493993bffe4   1.00\n",
       "31fa3fd4a146c7e6ca5a68ae61a7cd84dba9708f   2.00\n",
       "301e95874ced17644b54ce912152dd955f1b36f7   1.00\n",
       "7dfb319c50b823a7a353edbb239d34cdaa5d8378   0.00\n",
       "Name: front_score, Length: 155376, 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": [
       "45013800.0"
      ]
     },
     "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 0x10db53e80>"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<matplotlib.figure.Figure at 0x10ed9b8d0>"
      ]
     },
     "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>46.00</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>bbc_co_uk</th>\n",
       "      <td>12497.00</td>\n",
       "      <td>0.58</td>\n",
       "      <td>2.89</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>2702.00</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>brexitcentral_com</th>\n",
       "      <td>52.00</td>\n",
       "      <td>0.98</td>\n",
       "      <td>0.14</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>1609.00</td>\n",
       "      <td>0.30</td>\n",
       "      <td>0.46</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>cnn_com</th>\n",
       "      <td>3425.00</td>\n",
       "      <td>2.79</td>\n",
       "      <td>4.49</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>23842.00</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>581.00</td>\n",
       "      <td>2.32</td>\n",
       "      <td>1.26</td>\n",
       "      <td>0.00</td>\n",
       "      <td>3.00</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>61.00</td>\n",
       "      <td>0.90</td>\n",
       "      <td>0.30</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>foxnews_com</th>\n",
       "      <td>5323.00</td>\n",
       "      <td>0.81</td>\n",
       "      <td>2.05</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>4997.00</td>\n",
       "      <td>0.41</td>\n",
       "      <td>0.81</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>9772.00</td>\n",
       "      <td>0.46</td>\n",
       "      <td>1.27</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>6567.00</td>\n",
       "      <td>0.57</td>\n",
       "      <td>1.17</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>545.00</td>\n",
       "      <td>0.67</td>\n",
       "      <td>0.47</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>3991.00</td>\n",
       "      <td>0.79</td>\n",
       "      <td>0.98</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>170.00</td>\n",
       "      <td>0.88</td>\n",
       "      <td>0.32</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>10121.00</td>\n",
       "      <td>0.25</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>2003.00</td>\n",
       "      <td>2.29</td>\n",
       "      <td>1.98</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>4.00</td>\n",
       "      <td>4.00</td>\n",
       "      <td>4.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>newstatesman_com</th>\n",
       "      <td>526.00</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>2102.00</td>\n",
       "      <td>1.36</td>\n",
       "      <td>1.49</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>4830.00</td>\n",
       "      <td>1.55</td>\n",
       "      <td>2.31</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>267.00</td>\n",
       "      <td>0.80</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>propublica_org</th>\n",
       "      <td>57.00</td>\n",
       "      <td>0.82</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>5952.00</td>\n",
       "      <td>0.61</td>\n",
       "      <td>0.92</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>2691.00</td>\n",
       "      <td>0.93</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>117.00</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>7571.00</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>2.00</td>\n",
       "      <td>2.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>thecanary_co</th>\n",
       "      <td>251.00</td>\n",
       "      <td>0.98</td>\n",
       "      <td>0.15</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>theguardian_com</th>\n",
       "      <td>8493.00</td>\n",
       "      <td>0.52</td>\n",
       "      <td>1.13</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>9195.00</td>\n",
       "      <td>0.05</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>24278.00</td>\n",
       "      <td>0.17</td>\n",
       "      <td>0.69</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>350.00</td>\n",
       "      <td>0.26</td>\n",
       "      <td>0.44</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>yournewswire_com</th>\n",
       "      <td>392.00</td>\n",
       "      <td>0.08</td>\n",
       "      <td>0.27</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    46.00  1.00 0.00 1.00 1.00 1.00  1.00   \n",
       "bbc_co_uk                        12497.00  0.58 2.89 0.00 0.00 0.00  0.00   \n",
       "breitbart_com                     2702.00  0.84 0.99 0.00 0.00 0.00  2.00   \n",
       "brexitcentral_com                   52.00  0.98 0.14 0.00 1.00 1.00  1.00   \n",
       "buzzfeed_com                      1609.00  0.30 0.46 0.00 0.00 0.00  1.00   \n",
       "cnn_com                           3425.00  2.79 4.49 0.00 0.00 0.00 10.00   \n",
       "dailymail_co_uk                  23842.00  0.56 1.58 0.00 0.00 0.00  0.00   \n",
       "economist_com                      581.00  2.32 1.26 0.00 3.00 3.00  3.00   \n",
       "evolvepolitics_com                  61.00  0.90 0.30 0.00 1.00 1.00  1.00   \n",
       "foxnews_com                       5323.00  0.81 2.05 0.00 0.00 0.00  0.00   \n",
       "ft_com                            4997.00  0.41 0.81 0.00 0.00 0.00  0.00   \n",
       "huffingtonpost_com                9772.00  0.46 1.27 0.00 0.00 0.00  0.00   \n",
       "independent_co_uk                 6567.00  0.57 1.17 0.00 0.00 0.00  0.00   \n",
       "indy100_com                        545.00  0.67 0.47 0.00 0.00 1.00  1.00   \n",
       "lemonde_fr                        3991.00  0.79 0.98 0.00 0.00 0.00  2.00   \n",
       "libdemvoice_org                    170.00  0.88 0.32 0.00 1.00 1.00  1.00   \n",
       "mirror_co_uk                     10121.00  0.25 0.43 0.00 0.00 0.00  0.00   \n",
       "nbcnews_com                       2003.00  2.29 1.98 0.00 0.00 4.00  4.00   \n",
       "newstatesman_com                   526.00  0.74 0.44 0.00 0.00 1.00  1.00   \n",
       "npr_org                           2102.00  1.36 1.49 0.00 0.00 0.00  3.00   \n",
       "nytimes_com                       4830.00  1.55 2.31 0.00 0.00 0.00  5.00   \n",
       "order-order_com                    267.00  0.80 0.40 0.00 1.00 1.00  1.00   \n",
       "propublica_org                      57.00  0.82 0.38 0.00 1.00 1.00  1.00   \n",
       "reuters_com                       5952.00  0.61 0.92 0.00 0.00 0.00  2.00   \n",
       "rt_com                            2691.00  0.93 1.00 0.00 0.00 0.00  2.00   \n",
       "skwawkbox_org                      117.00  1.00 0.00 1.00 1.00 1.00  1.00   \n",
       "telegraph_co_uk                   7571.00  0.50 0.87 0.00 0.00 0.00  2.00   \n",
       "thecanary_co                       251.00  0.98 0.15 0.00 1.00 1.00  1.00   \n",
       "theguardian_com                   8493.00  0.52 1.13 0.00 0.00 0.00  0.00   \n",
       "thetimes_co_uk                    9195.00  0.05 0.23 0.00 0.00 0.00  0.00   \n",
       "washingtonpost_com               24278.00  0.17 0.69 0.00 0.00 0.00  0.00   \n",
       "westmonster_com                    350.00  0.26 0.44 0.00 0.00 0.00  1.00   \n",
       "yournewswire_com                   392.00  0.08 0.27 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     330305.00\n",
       "bbc_co_uk                          45013800.00\n",
       "breitbart_com                       3748243.00\n",
       "brexitcentral_com                     12499.00\n",
       "buzzfeed_com                        2795165.00\n",
       "cnn_com                            29252657.00\n",
       "dailymail_co_uk                    13536602.00\n",
       "economist_com                       8387474.00\n",
       "evolvepolitics_com                   114880.00\n",
       "foxnews_com                        16052065.00\n",
       "ft_com                              3709965.00\n",
       "huffingtonpost_com                  9815158.00\n",
       "independent_co_uk                   7842115.00\n",
       "indy100_com                          231700.00\n",
       "lemonde_fr                          3949946.00\n",
       "libdemvoice_org                        8615.00\n",
       "mirror_co_uk                        2926052.00\n",
       "nbcnews_com                         9381825.00\n",
       "newstatesman_com                     154735.00\n",
       "npr_org                             6252770.00\n",
       "nytimes_com                        14989576.00\n",
       "order-order_com                       45143.00\n",
       "propublica_org                       371738.00\n",
       "reuters_com                         3914921.00\n",
       "rt_com                              4705596.00\n",
       "skwawkbox_org                          6104.00\n",
       "telegraph_co_uk                     4390313.00\n",
       "thecanary_co                         156466.00\n",
       "theguardian_com                     7809686.00\n",
       "thetimes_co_uk                       718296.00\n",
       "washingtonpost_com                  6090176.00\n",
       "westmonster_com                       16158.00\n",
       "yournewswire_com                      27271.00\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                      15.14\n",
       "brexitcentral_com                   9.43\n",
       "buzzfeed_com                       14.84\n",
       "cnn_com                            17.19\n",
       "dailymail_co_uk                    16.42\n",
       "economist_com                      15.94\n",
       "evolvepolitics_com                 11.65\n",
       "foxnews_com                        16.59\n",
       "ft_com                             15.13\n",
       "huffingtonpost_com                 16.10\n",
       "independent_co_uk                  15.88\n",
       "indy100_com                        12.35\n",
       "lemonde_fr                         15.19\n",
       "libdemvoice_org                     9.06\n",
       "mirror_co_uk                       14.89\n",
       "nbcnews_com                        16.05\n",
       "newstatesman_com                   11.95\n",
       "npr_org                            15.65\n",
       "nytimes_com                        16.52\n",
       "order-order_com                    10.72\n",
       "propublica_org                     12.83\n",
       "reuters_com                        15.18\n",
       "rt_com                             15.36\n",
       "skwawkbox_org                       8.72\n",
       "telegraph_co_uk                    15.29\n",
       "thecanary_co                       11.96\n",
       "theguardian_com                    15.87\n",
       "thetimes_co_uk                     13.48\n",
       "washingtonpost_com                 15.62\n",
       "westmonster_com                     9.69\n",
       "yournewswire_com                   10.21\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                       8.23\n",
       "brexitcentral_com                   2.53\n",
       "buzzfeed_com                        7.94\n",
       "cnn_com                            10.28\n",
       "dailymail_co_uk                     9.51\n",
       "economist_com                       9.03\n",
       "evolvepolitics_com                  4.74\n",
       "foxnews_com                         9.68\n",
       "ft_com                              8.22\n",
       "huffingtonpost_com                  9.19\n",
       "independent_co_uk                   8.97\n",
       "indy100_com                         5.45\n",
       "lemonde_fr                          8.28\n",
       "libdemvoice_org                     2.15\n",
       "mirror_co_uk                        7.98\n",
       "nbcnews_com                         9.15\n",
       "newstatesman_com                    5.04\n",
       "npr_org                             8.74\n",
       "nytimes_com                         9.62\n",
       "order-order_com                     3.81\n",
       "propublica_org                      5.92\n",
       "reuters_com                         8.27\n",
       "rt_com                              8.46\n",
       "skwawkbox_org                       1.81\n",
       "telegraph_co_uk                     8.39\n",
       "thecanary_co                        5.05\n",
       "theguardian_com                     8.96\n",
       "thetimes_co_uk                      6.58\n",
       "washingtonpost_com                  8.71\n",
       "westmonster_com                     2.78\n",
       "yournewswire_com                    3.31\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 0x113745ef0>"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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SJUuW5Kijjsr8+fNTqVQyadKkLF68OC0tLbnxxhvz2GOPpa2tLQsXLsxpp52WrVu31r0W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\nACUlCAEAAErq/wA584VvS96ldAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10815ccc0>"
      ]
     },
     "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 0x108762c18>"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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tWpTW1tYsWbKk6NkAAAAoUK/OEA4bNiw33nhjbrzxxqLnAQAAoE56FYRnnXVWKpXKQc+N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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x114f5f828>"
      ]
     },
     "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     26228\n",
       "1.00     18738\n",
       "2.00     11875\n",
       "3.00      8299\n",
       "4.00      6777\n",
       "5.00      5670\n",
       "6.00      4580\n",
       "7.00      4152\n",
       "8.00      3592\n",
       "9.00      3395\n",
       "10.00     3052\n",
       "11.00     2790\n",
       "12.00     2610\n",
       "13.00     2552\n",
       "14.00     2289\n",
       "15.00     2188\n",
       "16.00     2124\n",
       "17.00     1923\n",
       "18.00     1939\n",
       "19.00     1810\n",
       "20.00     1731\n",
       "21.00     1709\n",
       "22.00     1636\n",
       "23.00     1592\n",
       "24.00     1610\n",
       "25.00     1574\n",
       "26.00     1515\n",
       "27.00     1385\n",
       "28.00     1367\n",
       "29.00     1322\n",
       "         ...  \n",
       "65.00      127\n",
       "66.00      111\n",
       "67.00       84\n",
       "68.00       93\n",
       "69.00       88\n",
       "70.00       54\n",
       "71.00       61\n",
       "72.00       41\n",
       "73.00       54\n",
       "74.00       43\n",
       "75.00       33\n",
       "76.00       41\n",
       "77.00       40\n",
       "78.00       30\n",
       "79.00       36\n",
       "80.00       24\n",
       "81.00       20\n",
       "82.00       23\n",
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       "84.00       22\n",
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       "87.00       10\n",
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       "94.00        2\n",
       "Name: attention_index, Length: 95, 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>44.00</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>8936b3dfe6df7390975e0b3613010b294dea585f</th>\n",
       "      <td>http://www.cnn.com/2017/11/05/us/texas-church-...</td>\n",
       "      <td>FBI responding to the scene of a shooting outs...</td>\n",
       "      <td>2017-11-05 19:28:26.968</td>\n",
       "      <td>2017-11-05 19:25:20.000</td>\n",
       "      <td>472479</td>\n",
       "      <td>1474.19</td>\n",
       "      <td>2017-11-05T21:33:10.123Z</td>\n",
       "      <td>103331</td>\n",
       "      <td>319098</td>\n",
       "      <td>50050</td>\n",
       "      <td>...</td>\n",
       "      <td>29130688.00</td>\n",
       "      <td>2017-11-05T19:33:59.000Z</td>\n",
       "      <td>105</td>\n",
       "      <td>93.00</td>\n",
       "      <td>50.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>6.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>41.00</td>\n",
       "      <td>91.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9bcec31a0af3473e657194f655644e361f4c6112</th>\n",
       "      <td>http://www.cnn.com/2017/11/21/entertainment/da...</td>\n",
       "      <td>David Cassidy, '70s teen heartthrob, dies at a...</td>\n",
       "      <td>2017-11-22 02:10:11.664</td>\n",
       "      <td>2017-11-22 02:07:07.000</td>\n",
       "      <td>308761</td>\n",
       "      <td>1149.44</td>\n",
       "      <td>2017-11-22T02:43:07.665Z</td>\n",
       "      <td>55066</td>\n",
       "      <td>213732</td>\n",
       "      <td>39963</td>\n",
       "      <td>...</td>\n",
       "      <td>29180211.00</td>\n",
       "      <td>2017-11-22T02:29:19.000Z</td>\n",
       "      <td>105</td>\n",
       "      <td>524.00</td>\n",
       "      <td>50.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>6.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>41.00</td>\n",
       "      <td>91.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>56d4fd37d920ed660cbad59ea6783a1ac316d3f1</th>\n",
       "      <td>http://www.cnn.com/2017/11/07/politics/2017-us...</td>\n",
       "      <td>US election tests nation's mood a year after T...</td>\n",
       "      <td>2017-11-07 17:28:21.597</td>\n",
       "      <td>2017-11-07 17:22:09.000</td>\n",
       "      <td>110855</td>\n",
       "      <td>657.61</td>\n",
       "      <td>2017-11-08T02:48:10.555Z</td>\n",
       "      <td>11024</td>\n",
       "      <td>92195</td>\n",
       "      <td>7636</td>\n",
       "      <td>...</td>\n",
       "      <td>29140017.00</td>\n",
       "      <td>2017-11-08T02:16:05.000Z</td>\n",
       "      <td>105</td>\n",
       "      <td>730.00</td>\n",
       "      <td>50.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>6.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>41.00</td>\n",
       "      <td>91.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>c60580cced4a93dea0f1501fb8fc11b9568d8d09</th>\n",
       "      <td>http://www.cnn.com/2017/11/20/politics/al-fran...</td>\n",
       "      <td>Woman says Al Franken inappropriately touched ...</td>\n",
       "      <td>2017-11-20 14:04:08.927</td>\n",
       "      <td>2017-11-20 14:01:00.000</td>\n",
       "      <td>60999</td>\n",
       "      <td>151.83</td>\n",
       "      <td>2017-11-20T16:08:05.371Z</td>\n",
       "      <td>39924</td>\n",
       "      <td>15995</td>\n",
       "      <td>5080</td>\n",
       "      <td>...</td>\n",
       "      <td>29174292.00</td>\n",
       "      <td>2017-11-20T14:34:07.000Z</td>\n",
       "      <td>105</td>\n",
       "      <td>1237.00</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>ea8c249c77726779692648c4b61e6f17e2c20ef1</th>\n",
       "      <td>http://www.cnn.com/2017/11/21/politics/donald-...</td>\n",
       "      <td>Trump all but endorses Roy Moore</td>\n",
       "      <td>2017-11-21 20:43:22.621</td>\n",
       "      <td>2017-11-21 20:39:42.000</td>\n",
       "      <td>61716</td>\n",
       "      <td>1075.54</td>\n",
       "      <td>2017-11-21T22:07:09.250Z</td>\n",
       "      <td>28421</td>\n",
       "      <td>25460</td>\n",
       "      <td>7835</td>\n",
       "      <td>...</td>\n",
       "      <td>29179024.00</td>\n",
       "      <td>2017-11-21T23:00:28.000Z</td>\n",
       "      <td>105</td>\n",
       "      <td>113.00</td>\n",
       "      <td>48.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>7.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>42.00</td>\n",
       "      <td>90.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>fe697d4d58f41d6e1de381fbfd12e8df7afd83f8</th>\n",
       "      <td>https://www.buzzfeed.com/jimdalrympleii/oil-sp...</td>\n",
       "      <td>More Than 200,000 Gallons Of Oil Spill Along T...</td>\n",
       "      <td>2017-11-16 21:28:15.945</td>\n",
       "      <td>2017-11-16 21:27:17.000</td>\n",
       "      <td>54944</td>\n",
       "      <td>148.26</td>\n",
       "      <td>2017-11-16T22:11:10.231Z</td>\n",
       "      <td>9329</td>\n",
       "      <td>35136</td>\n",
       "      <td>10479</td>\n",
       "      <td>...</td>\n",
       "      <td>2763703.00</td>\n",
       "      <td>2017-11-18T20:04:00.000Z</td>\n",
       "      <td>147</td>\n",
       "      <td>115.00</td>\n",
       "      <td>47.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>13.00</td>\n",
       "      <td>11.00</td>\n",
       "      <td>43.00</td>\n",
       "      <td>90.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7be688e97f64c952e8183855c713ded615bb9aa0</th>\n",
       "      <td>https://www.buzzfeed.com/josephbernstein/sourc...</td>\n",
       "      <td>Sources: McMaster Mocked Trump’s Intelligence ...</td>\n",
       "      <td>2017-11-20 17:07:12.434</td>\n",
       "      <td>2017-11-15 19:51:02.000</td>\n",
       "      <td>39274</td>\n",
       "      <td>406.15</td>\n",
       "      <td>2017-11-20T20:14:06.158Z</td>\n",
       "      <td>6108</td>\n",
       "      <td>28213</td>\n",
       "      <td>4953</td>\n",
       "      <td>...</td>\n",
       "      <td>2765039.00</td>\n",
       "      <td>2017-11-20T17:09:20.000Z</td>\n",
       "      <td>147</td>\n",
       "      <td>867.00</td>\n",
       "      <td>45.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>11.00</td>\n",
       "      <td>45.00</td>\n",
       "      <td>90.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>918dd1da248df1e030da129727d26ff87d2c476d</th>\n",
       "      <td>http://www.bbc.co.uk/news/world-australia-4199...</td>\n",
       "      <td>Australians back gay marriage in non-binding vote</td>\n",
       "      <td>2017-11-14 23:07:07.371</td>\n",
       "      <td>2017-11-14 23:04:51.000</td>\n",
       "      <td>193635</td>\n",
       "      <td>2130.00</td>\n",
       "      <td>2017-11-15T08:05:11.694Z</td>\n",
       "      <td>15567</td>\n",
       "      <td>165814</td>\n",
       "      <td>12254</td>\n",
       "      <td>...</td>\n",
       "      <td>44796279.00</td>\n",
       "      <td>2017-11-14T23:06:11.000Z</td>\n",
       "      <td>96</td>\n",
       "      <td>64.00</td>\n",
       "      <td>50.00</td>\n",
       "      <td>13.00</td>\n",
       "      <td>12.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>40.00</td>\n",
       "      <td>90.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3f232a19515eafff49d19aa97622c92ced9e94aa</th>\n",
       "      <td>http://www.bbc.co.uk/news/world-us-canada-4216...</td>\n",
       "      <td>Trump account retweets anti-Muslim videos</td>\n",
       "      <td>2017-11-29 11:58:11.714</td>\n",
       "      <td>2017-11-29 11:56:08.000</td>\n",
       "      <td>61587</td>\n",
       "      <td>836.41</td>\n",
       "      <td>2017-11-29T18:04:08.063Z</td>\n",
       "      <td>22107</td>\n",
       "      <td>30644</td>\n",
       "      <td>8836</td>\n",
       "      <td>...</td>\n",
       "      <td>44978694.00</td>\n",
       "      <td>2017-11-29T12:01:35.000Z</td>\n",
       "      <td>96</td>\n",
       "      <td>64.00</td>\n",
       "      <td>48.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>7.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>42.00</td>\n",
       "      <td>90.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2443904aef281c6a4cdff93a466908084cfa403d</th>\n",
       "      <td>https://www.buzzfeed.com/katiejmbaker/more-tha...</td>\n",
       "      <td>More Than 180 Women Have Reported Sexual Assau...</td>\n",
       "      <td>2017-11-26 16:25:18.372</td>\n",
       "      <td>2017-11-22 22:15:18.000</td>\n",
       "      <td>45167</td>\n",
       "      <td>28.91</td>\n",
       "      <td>2017-11-26T22:37:06.578Z</td>\n",
       "      <td>15799</td>\n",
       "      <td>23122</td>\n",
       "      <td>6246</td>\n",
       "      <td>...</td>\n",
       "      <td>2775117.00</td>\n",
       "      <td>2017-11-26T16:41:11.000Z</td>\n",
       "      <td>147</td>\n",
       "      <td>4608.00</td>\n",
       "      <td>46.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>14.00</td>\n",
       "      <td>11.00</td>\n",
       "      <td>44.00</td>\n",
       "      <td>90.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>740f28a60dc9f4c080b5f2495e839a579134b05f</th>\n",
       "      <td>http://www.cnn.com/2017/11/06/us/texas-church-...</td>\n",
       "      <td>Texas church shooting: Of 26 dead, 8 came from...</td>\n",
       "      <td>2017-11-06 09:25:15.499</td>\n",
       "      <td>2017-11-06 09:18:43.000</td>\n",
       "      <td>48754</td>\n",
       "      <td>67.26</td>\n",
       "      <td>2017-11-06T14:55:11.872Z</td>\n",
       "      <td>14626</td>\n",
       "      <td>27026</td>\n",
       "      <td>7102</td>\n",
       "      <td>...</td>\n",
       "      <td>29134644.00</td>\n",
       "      <td>2017-11-06T10:00:05.000Z</td>\n",
       "      <td>105</td>\n",
       "      <td>1327.00</td>\n",
       "      <td>47.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>8.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>43.00</td>\n",
       "      <td>90.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>882f5d32bf5d563b1b4804a5b5054e7bf38fd49e</th>\n",
       "      <td>https://www.huffingtonpost.com/entry/charles-m...</td>\n",
       "      <td>Manson Family Leader Charles Manson Dead At 83</td>\n",
       "      <td>2017-11-20 05:58:17.677</td>\n",
       "      <td>2017-11-20 05:55:41.000</td>\n",
       "      <td>120366</td>\n",
       "      <td>468.15</td>\n",
       "      <td>2017-11-20T06:10:05.971Z</td>\n",
       "      <td>32275</td>\n",
       "      <td>67753</td>\n",
       "      <td>20338</td>\n",
       "      <td>...</td>\n",
       "      <td>9801729.00</td>\n",
       "      <td>2017-11-20T05:57:04.000Z</td>\n",
       "      <td>215</td>\n",
       "      <td>918.00</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>eab0bd7eddf6530830d0739c2b95df91c04311af</th>\n",
       "      <td>http://www.cnn.com/2017/11/20/politics/trump-t...</td>\n",
       "      <td>Trump says Raiders running back should be susp...</td>\n",
       "      <td>2017-11-20 12:49:19.171</td>\n",
       "      <td>2017-11-20 12:44:47.000</td>\n",
       "      <td>42682</td>\n",
       "      <td>202.44</td>\n",
       "      <td>2017-11-20T14:12:06.345Z</td>\n",
       "      <td>17683</td>\n",
       "      <td>21738</td>\n",
       "      <td>3261</td>\n",
       "      <td>...</td>\n",
       "      <td>29174331.00</td>\n",
       "      <td>2017-11-20T13:50:04.000Z</td>\n",
       "      <td>105</td>\n",
       "      <td>242.00</td>\n",
       "      <td>46.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>8.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>43.00</td>\n",
       "      <td>89.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>fb1e8caeac265f01e6f14acd89b5caa950fad9db</th>\n",
       "      <td>http://money.cnn.com/2017/11/02/technology/don...</td>\n",
       "      <td>Trump's Twitter handle disappeared. Everyone f...</td>\n",
       "      <td>2017-11-02 23:48:14.601</td>\n",
       "      <td>2017-11-02 23:25:28.000</td>\n",
       "      <td>45644</td>\n",
       "      <td>179.60</td>\n",
       "      <td>2017-11-03T19:05:07.586Z</td>\n",
       "      <td>7000</td>\n",
       "      <td>32402</td>\n",
       "      <td>6242</td>\n",
       "      <td>...</td>\n",
       "      <td>29115629.00</td>\n",
       "      <td>2017-11-02T23:45:09.000Z</td>\n",
       "      <td>105</td>\n",
       "      <td>nan</td>\n",
       "      <td>46.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>8.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>43.00</td>\n",
       "      <td>89.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>786ccbf412c44c9929f14d99f69b26c08b41c7c4</th>\n",
       "      <td>http://www.cnn.com/2017/11/14/us/california-te...</td>\n",
       "      <td>At least 3 people killed in Northern California</td>\n",
       "      <td>2017-11-14 19:25:25.795</td>\n",
       "      <td>2017-11-14 19:21:15.000</td>\n",
       "      <td>64970</td>\n",
       "      <td>764.73</td>\n",
       "      <td>2017-11-15T04:03:14.627Z</td>\n",
       "      <td>19633</td>\n",
       "      <td>35757</td>\n",
       "      <td>9580</td>\n",
       "      <td>...</td>\n",
       "      <td>29159769.00</td>\n",
       "      <td>2017-11-14T20:30:12.000Z</td>\n",
       "      <td>105</td>\n",
       "      <td>137.00</td>\n",
       "      <td>48.00</td>\n",
       "      <td>20.00</td>\n",
       "      <td>6.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>41.00</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>f4e1249cdcc101d0aa1d61fdcad594b5ffaedd7a</th>\n",
       "      <td>http://www.dailymail.co.uk/news/article-510517...</td>\n",
       "      <td>Police search for New York City synagogue vandals</td>\n",
       "      <td>2017-11-21 19:52:18.617</td>\n",
       "      <td>2017-11-21 19:49:15.000</td>\n",
       "      <td>1</td>\n",
       "      <td>0.02</td>\n",
       "      <td>2017-11-21T22:04:09.231Z</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>...</td>\n",
       "      <td>nan</td>\n",
       "      <td>NaN</td>\n",
       "      <td>158</td>\n",
       "      <td>263.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1f0aec88f260aee14d77dc39b8e2db114d5e53f1</th>\n",
       "      <td>https://www.washingtonpost.com/national/review...</td>\n",
       "      <td>Review: Billy Bragg delivers the news on ‘Brid...</td>\n",
       "      <td>2017-11-06 15:52:16.276</td>\n",
       "      <td>2017-11-06 15:48:17.000</td>\n",
       "      <td>0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>2017-11-06T19:06:11.406Z</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>nan</td>\n",
       "      <td>NaN</td>\n",
       "      <td>191</td>\n",
       "      <td>303.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5848ab7e4866902978ed29f58a718ebe38fe533b</th>\n",
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       "      <td>Lock-Down Theology</td>\n",
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       "fe697d4d58f41d6e1de381fbfd12e8df7afd83f8  More Than 200,000 Gallons Of Oil Spill Along T...   \n",
       "7be688e97f64c952e8183855c713ded615bb9aa0  Sources: McMaster Mocked Trump’s Intelligence ...   \n",
       "918dd1da248df1e030da129727d26ff87d2c476d  Australians back gay marriage in non-binding vote   \n",
       "3f232a19515eafff49d19aa97622c92ced9e94aa          Trump account retweets anti-Muslim videos   \n",
       "2443904aef281c6a4cdff93a466908084cfa403d  More Than 180 Women Have Reported Sexual Assau...   \n",
       "740f28a60dc9f4c080b5f2495e839a579134b05f  Texas church shooting: Of 26 dead, 8 came from...   \n",
       "882f5d32bf5d563b1b4804a5b5054e7bf38fd49e     Manson Family Leader Charles Manson Dead At 83   \n",
       "eab0bd7eddf6530830d0739c2b95df91c04311af  Trump says Raiders running back should be susp...   \n",
       "fb1e8caeac265f01e6f14acd89b5caa950fad9db  Trump's Twitter handle disappeared. Everyone f...   \n",
       "786ccbf412c44c9929f14d99f69b26c08b41c7c4    At least 3 people killed in Northern California   \n",
       "...                                                                                     ...   \n",
       "f4e1249cdcc101d0aa1d61fdcad594b5ffaedd7a  Police search for New York City synagogue vandals   \n",
       "1f0aec88f260aee14d77dc39b8e2db114d5e53f1  Review: Billy Bragg delivers the news on ‘Brid...   \n",
       "5848ab7e4866902978ed29f58a718ebe38fe533b  Emenalo quits as Chelsea’s technical director,...   \n",
       "56fc6dab69d6747825f30071b3d55405bd7bc76a  Football helped NBC to another ratings touchdo...   \n",
       "5a93a40fee0828de942d2ed87e6498fb5539e771  Russian lawmaker detained in France in tax fra...   \n",
       "fd9f75db2dd6cf003a4d3710f78c96a183c900af  Inside the Digital World Of Vanity Fair With P...   \n",
       "3af22a8a9f33acd7d3563e43053bab8d724d5996  Caregiver accused of trying to suffocate 88-ye...   \n",
       "f0c3ae6a6bd50e9ad6b4cc46f1783efd157bd243  What they'll say on Brietbart after Trump is gone   \n",
       "fc50cf94337627a443e18ff0a668562b265cce5b  Police arrest man who identified himself as de...   \n",
       "c32fd52c8d2e02aba70271c4492b975099262983    New York City Spends $1 Billion with MWBE Firms   \n",
       "c9304216196c1409380a7c249333cb66955928d1  Q&A: Donations for victims of the Las Vegas ma...   \n",
       "4eb3c48a8a54ccdc973efb7c2782a9f07d7329ab  Real Time Data Adoption Still Slow in the Ente...   \n",
       "8541d646246355defc696897573ce52e5c2f1b87  Queensferry Crossing death may have been 'frea...   \n",
       "5c377078cea6e6bdba3be1bba123e19d0d15bd79                How to Avoid Downloading a Fake App   \n",
       "c6616c46ae04437d27a12cfbf64ebebb3d89be33                                 A Gratitude Ritual   \n",
       "997b3e829e98b6ef68e0072e17477310b9095fae  Vatican beefs up oversight of diplomats after ...   \n",
       "8061f2b3380e8915d26970a1124b761fe9c0add7  Dialectical face-off: Christmas Eve at the Ust...   \n",
       "5b0911c3e20f654862c8519206cfcdb33c76290f          Jenkins leads Jackrabbits past Iowa 80-72   \n",
       "2c4c90d724d8fc6817ebc18815d13fdc5cf4b908  Is J.T. Barrett the best QB to ever play at Oh...   \n",
       "c75e906a52a20db93508391aefd3860f18d1eb5c              Zimbabwe reacts to Mugabe resignation   \n",
       "76df4362a0be5fbb7bfc02168d7f391aa194912d  Craftivism: Melding of crafting, activism is h...   \n",
       "9405dd882af60d34ebdeabb88e1e5a3fd5eb6403  Missouri’s Porter Jr. out for season after bac...   \n",
       "7c66cddb70a24a69f9c687a5409bd9b41e413c27  Frank Turner interview: 'People who take pride...   \n",
       "a6c0dde1c0e8750d03e600bf6fc0b7dd0667536b  Vols’ heralded senior class having disappointi...   \n",
       "365c6f16c05b07ec35b5fc2afdf8a21ac9d9678a  Diary: Inmate got over-the-counter drugs befor...   \n",
       "f253306fa278a178f948b4c13682a248dbc5eef0  Liz Weston: 4 Steps to Disaster-Proof Your Fin...   \n",
       "96fffc46028063fc811a83deeac400c0a3f53839  Wales star Justin Tipuric a major doubt to fac...   \n",
       "6132ea1ddd3b6547eb97e272a10df1adbba7bccc          Celebration in Zimbabwe as Mugabe resigns   \n",
       "fe1be446d676c9d8ff35367b6302f4f670f3813b                                 Lock-Down Theology   \n",
       "7dfb319c50b823a7a353edbb239d34cdaa5d8378  Australia decides: Did Kyle Sandilands just fa...   \n",
       "\n",
       "                                                      discovered  \\\n",
       "id                                                                 \n",
       "73ea9633c21733c5931c0c9c18b066285cb1bf39 2017-11-27 10:10:13.896   \n",
       "0844561b92420804aad85219a5552042ce4d265c 2017-11-29 12:13:21.006   \n",
       "d89e12f04f8c41a417503f4ddd8738eb9e3a4fbe 2017-11-03 15:13:06.928   \n",
       "e517b876ffba73e2f5ffd10ba0f8f429906d29f5 2017-11-16 03:58:19.582   \n",
       "fc4d4c9056d6150a5d077277d6cbbad6d94cd9eb 2017-11-21 15:55:05.471   \n",
       "eb5cf786e76b63b71b65ee2d768bc6b852cd09f5 2017-11-26 20:52:30.134   \n",
       "f4068619cf024977dd22e0f55df457e8a5e1e81a 2017-11-11 11:13:12.620   \n",
       "ae93aeb0b54e4226e91f871104402b5d593c017a 2017-11-04 04:04:21.998   \n",
       "bac634126d3948d4a630e9ed45fc43daf5e47512 2017-11-24 11:40:13.945   \n",
       "7f547d36c1b7a45ce5561d1f1bb893ad6b1a4b16 2017-11-05 18:03:06.595   \n",
       "1d314f93ee2e693abc8db7f0c5c0b5bc88e1b189 2017-11-27 10:07:08.120   \n",
       "3e124661440aaee9ff2f5abd6580c96de9c409cd 2017-11-16 16:25:14.114   \n",
       "25571e148ab673e2bee73a203ccbc469ad2c2fcb 2017-11-29 18:43:33.556   \n",
       "4e4483f28e1fb45e7cd2efd68013d8713e093689 2017-11-24 13:10:12.702   \n",
       "eddf6f1f068d000d109a9f590f254b217f9231ec 2017-11-12 19:07:11.950   \n",
       "8936b3dfe6df7390975e0b3613010b294dea585f 2017-11-05 19:28:26.968   \n",
       "9bcec31a0af3473e657194f655644e361f4c6112 2017-11-22 02:10:11.664   \n",
       "56d4fd37d920ed660cbad59ea6783a1ac316d3f1 2017-11-07 17:28:21.597   \n",
       "c60580cced4a93dea0f1501fb8fc11b9568d8d09 2017-11-20 14:04:08.927   \n",
       "ea8c249c77726779692648c4b61e6f17e2c20ef1 2017-11-21 20:43:22.621   \n",
       "fe697d4d58f41d6e1de381fbfd12e8df7afd83f8 2017-11-16 21:28:15.945   \n",
       "7be688e97f64c952e8183855c713ded615bb9aa0 2017-11-20 17:07:12.434   \n",
       "918dd1da248df1e030da129727d26ff87d2c476d 2017-11-14 23:07:07.371   \n",
       "3f232a19515eafff49d19aa97622c92ced9e94aa 2017-11-29 11:58:11.714   \n",
       "2443904aef281c6a4cdff93a466908084cfa403d 2017-11-26 16:25:18.372   \n",
       "740f28a60dc9f4c080b5f2495e839a579134b05f 2017-11-06 09:25:15.499   \n",
       "882f5d32bf5d563b1b4804a5b5054e7bf38fd49e 2017-11-20 05:58:17.677   \n",
       "eab0bd7eddf6530830d0739c2b95df91c04311af 2017-11-20 12:49:19.171   \n",
       "fb1e8caeac265f01e6f14acd89b5caa950fad9db 2017-11-02 23:48:14.601   \n",
       "786ccbf412c44c9929f14d99f69b26c08b41c7c4 2017-11-14 19:25:25.795   \n",
       "...                                                          ...   \n",
       "f4e1249cdcc101d0aa1d61fdcad594b5ffaedd7a 2017-11-21 19:52:18.617   \n",
       "1f0aec88f260aee14d77dc39b8e2db114d5e53f1 2017-11-06 15:52:16.276   \n",
       "5848ab7e4866902978ed29f58a718ebe38fe533b 2017-11-06 15:49:15.654   \n",
       "56fc6dab69d6747825f30071b3d55405bd7bc76a 2017-11-21 20:04:13.555   \n",
       "5a93a40fee0828de942d2ed87e6498fb5539e771 2017-11-21 20:01:12.291   \n",
       "fd9f75db2dd6cf003a4d3710f78c96a183c900af 2017-11-21 20:01:16.478   \n",
       "3af22a8a9f33acd7d3563e43053bab8d724d5996 2017-11-21 19:58:09.299   \n",
       "f0c3ae6a6bd50e9ad6b4cc46f1783efd157bd243 2017-11-06 15:55:23.957   \n",
       "fc50cf94337627a443e18ff0a668562b265cce5b 2017-11-06 15:46:11.188   \n",
       "c32fd52c8d2e02aba70271c4492b975099262983 2017-11-21 19:46:15.255   \n",
       "c9304216196c1409380a7c249333cb66955928d1 2017-11-21 19:43:16.407   \n",
       "4eb3c48a8a54ccdc973efb7c2782a9f07d7329ab 2017-11-06 16:04:12.393   \n",
       "8541d646246355defc696897573ce52e5c2f1b87 2017-11-21 19:34:12.361   \n",
       "5c377078cea6e6bdba3be1bba123e19d0d15bd79 2017-11-21 19:31:19.133   \n",
       "c6616c46ae04437d27a12cfbf64ebebb3d89be33 2017-11-21 19:31:18.735   \n",
       "997b3e829e98b6ef68e0072e17477310b9095fae 2017-11-21 19:34:14.437   \n",
       "8061f2b3380e8915d26970a1124b761fe9c0add7 2017-11-06 15:52:25.344   \n",
       "5b0911c3e20f654862c8519206cfcdb33c76290f 2017-11-21 19:31:13.727   \n",
       "2c4c90d724d8fc6817ebc18815d13fdc5cf4b908 2017-11-21 19:31:13.939   \n",
       "c75e906a52a20db93508391aefd3860f18d1eb5c 2017-11-21 19:34:13.130   \n",
       "76df4362a0be5fbb7bfc02168d7f391aa194912d 2017-11-21 19:40:15.940   \n",
       "9405dd882af60d34ebdeabb88e1e5a3fd5eb6403 2017-11-21 19:52:15.804   \n",
       "7c66cddb70a24a69f9c687a5409bd9b41e413c27 2017-11-21 19:34:08.979   \n",
       "a6c0dde1c0e8750d03e600bf6fc0b7dd0667536b 2017-11-21 19:40:16.255   \n",
       "365c6f16c05b07ec35b5fc2afdf8a21ac9d9678a 2017-11-21 19:43:16.707   \n",
       "f253306fa278a178f948b4c13682a248dbc5eef0 2017-11-06 15:58:18.131   \n",
       "96fffc46028063fc811a83deeac400c0a3f53839 2017-11-06 15:52:22.247   \n",
       "6132ea1ddd3b6547eb97e272a10df1adbba7bccc 2017-11-21 20:13:15.874   \n",
       "fe1be446d676c9d8ff35367b6302f4f670f3813b 2017-11-21 19:46:15.287   \n",
       "7dfb319c50b823a7a353edbb239d34cdaa5d8378 2017-12-01 00:08:02.425   \n",
       "\n",
       "                                                       published  \\\n",
       "id                                                                 \n",
       "73ea9633c21733c5931c0c9c18b066285cb1bf39 2017-11-27 10:06:10.000   \n",
       "0844561b92420804aad85219a5552042ce4d265c 2017-11-29 12:03:48.000   \n",
       "d89e12f04f8c41a417503f4ddd8738eb9e3a4fbe 2017-11-03 15:09:11.000   \n",
       "e517b876ffba73e2f5ffd10ba0f8f429906d29f5 2017-11-16 03:38:35.000   \n",
       "fc4d4c9056d6150a5d077277d6cbbad6d94cd9eb 2017-11-21 15:51:28.000   \n",
       "eb5cf786e76b63b71b65ee2d768bc6b852cd09f5 2017-11-26 20:51:09.000   \n",
       "f4068619cf024977dd22e0f55df457e8a5e1e81a 2017-11-11 11:07:35.000   \n",
       "ae93aeb0b54e4226e91f871104402b5d593c017a 2017-11-04 04:01:21.000   \n",
       "bac634126d3948d4a630e9ed45fc43daf5e47512 2017-11-24 11:36:06.000   \n",
       "7f547d36c1b7a45ce5561d1f1bb893ad6b1a4b16 2017-11-05 18:00:10.000   \n",
       "1d314f93ee2e693abc8db7f0c5c0b5bc88e1b189 2017-11-27 10:04:47.000   \n",
       "3e124661440aaee9ff2f5abd6580c96de9c409cd 2017-11-16 16:21:00.000   \n",
       "25571e148ab673e2bee73a203ccbc469ad2c2fcb 2017-11-29 18:38:30.000   \n",
       "4e4483f28e1fb45e7cd2efd68013d8713e093689 2017-11-24 13:05:02.000   \n",
       "eddf6f1f068d000d109a9f590f254b217f9231ec 2017-11-12 19:05:17.000   \n",
       "8936b3dfe6df7390975e0b3613010b294dea585f 2017-11-05 19:25:20.000   \n",
       "9bcec31a0af3473e657194f655644e361f4c6112 2017-11-22 02:07:07.000   \n",
       "56d4fd37d920ed660cbad59ea6783a1ac316d3f1 2017-11-07 17:22:09.000   \n",
       "c60580cced4a93dea0f1501fb8fc11b9568d8d09 2017-11-20 14:01:00.000   \n",
       "ea8c249c77726779692648c4b61e6f17e2c20ef1 2017-11-21 20:39:42.000   \n",
       "fe697d4d58f41d6e1de381fbfd12e8df7afd83f8 2017-11-16 21:27:17.000   \n",
       "7be688e97f64c952e8183855c713ded615bb9aa0 2017-11-15 19:51:02.000   \n",
       "918dd1da248df1e030da129727d26ff87d2c476d 2017-11-14 23:04:51.000   \n",
       "3f232a19515eafff49d19aa97622c92ced9e94aa 2017-11-29 11:56:08.000   \n",
       "2443904aef281c6a4cdff93a466908084cfa403d 2017-11-22 22:15:18.000   \n",
       "740f28a60dc9f4c080b5f2495e839a579134b05f 2017-11-06 09:18:43.000   \n",
       "882f5d32bf5d563b1b4804a5b5054e7bf38fd49e 2017-11-20 05:55:41.000   \n",
       "eab0bd7eddf6530830d0739c2b95df91c04311af 2017-11-20 12:44:47.000   \n",
       "fb1e8caeac265f01e6f14acd89b5caa950fad9db 2017-11-02 23:25:28.000   \n",
       "786ccbf412c44c9929f14d99f69b26c08b41c7c4 2017-11-14 19:21:15.000   \n",
       "...                                                          ...   \n",
       "f4e1249cdcc101d0aa1d61fdcad594b5ffaedd7a 2017-11-21 19:49:15.000   \n",
       "1f0aec88f260aee14d77dc39b8e2db114d5e53f1 2017-11-06 15:48:17.000   \n",
       "5848ab7e4866902978ed29f58a718ebe38fe533b 2017-11-06 15:39:14.000   \n",
       "56fc6dab69d6747825f30071b3d55405bd7bc76a 2017-11-21 19:50:11.000   \n",
       "5a93a40fee0828de942d2ed87e6498fb5539e771 2017-11-21 19:53:16.000   \n",
       "fd9f75db2dd6cf003a4d3710f78c96a183c900af 2017-11-21 19:54:00.473   \n",
       "3af22a8a9f33acd7d3563e43053bab8d724d5996 2017-11-21 19:54:09.000   \n",
       "f0c3ae6a6bd50e9ad6b4cc46f1783efd157bd243 2017-11-06 15:37:56.366   \n",
       "fc50cf94337627a443e18ff0a668562b265cce5b 2017-11-06 15:37:15.000   \n",
       "c32fd52c8d2e02aba70271c4492b975099262983 2017-11-21 19:39:14.242   \n",
       "c9304216196c1409380a7c249333cb66955928d1 2017-11-21 19:38:35.000   \n",
       "4eb3c48a8a54ccdc973efb7c2782a9f07d7329ab 2017-11-06 15:57:49.261   \n",
       "8541d646246355defc696897573ce52e5c2f1b87 2017-11-21 19:30:26.000   \n",
       "5c377078cea6e6bdba3be1bba123e19d0d15bd79 2017-11-21 19:28:53.673   \n",
       "c6616c46ae04437d27a12cfbf64ebebb3d89be33 2017-11-21 19:28:58.462   \n",
       "997b3e829e98b6ef68e0072e17477310b9095fae 2017-11-21 19:29:11.000   \n",
       "8061f2b3380e8915d26970a1124b761fe9c0add7 2017-11-06 15:50:58.000   \n",
       "5b0911c3e20f654862c8519206cfcdb33c76290f 2017-11-21 19:29:25.000   \n",
       "2c4c90d724d8fc6817ebc18815d13fdc5cf4b908 2017-11-21 19:29:25.000   \n",
       "c75e906a52a20db93508391aefd3860f18d1eb5c 2017-11-21 19:30:10.000   \n",
       "76df4362a0be5fbb7bfc02168d7f391aa194912d 2017-11-21 19:30:27.000   \n",
       "9405dd882af60d34ebdeabb88e1e5a3fd5eb6403 2017-11-21 19:38:21.000   \n",
       "7c66cddb70a24a69f9c687a5409bd9b41e413c27 2017-11-21 19:32:18.000   \n",
       "a6c0dde1c0e8750d03e600bf6fc0b7dd0667536b 2017-11-21 19:32:32.000   \n",
       "365c6f16c05b07ec35b5fc2afdf8a21ac9d9678a 2017-11-21 19:34:36.000   \n",
       "f253306fa278a178f948b4c13682a248dbc5eef0 2017-11-06 15:48:22.000   \n",
       "96fffc46028063fc811a83deeac400c0a3f53839 2017-11-06 15:48:17.000   \n",
       "6132ea1ddd3b6547eb97e272a10df1adbba7bccc 2017-11-21 19:38:10.000   \n",
       "fe1be446d676c9d8ff35367b6302f4f670f3813b 2017-11-21 19:38:18.176   \n",
       "7dfb319c50b823a7a353edbb239d34cdaa5d8378 2017-11-30 23:59:57.000   \n",
       "\n",
       "                                          fb_engagements  \\\n",
       "id                                                         \n",
       "73ea9633c21733c5931c0c9c18b066285cb1bf39          120080   \n",
       "0844561b92420804aad85219a5552042ce4d265c          280472   \n",
       "d89e12f04f8c41a417503f4ddd8738eb9e3a4fbe          116359   \n",
       "e517b876ffba73e2f5ffd10ba0f8f429906d29f5          123141   \n",
       "fc4d4c9056d6150a5d077277d6cbbad6d94cd9eb           83318   \n",
       "eb5cf786e76b63b71b65ee2d768bc6b852cd09f5           72391   \n",
       "f4068619cf024977dd22e0f55df457e8a5e1e81a          119370   \n",
       "ae93aeb0b54e4226e91f871104402b5d593c017a           64884   \n",
       "bac634126d3948d4a630e9ed45fc43daf5e47512           73270   \n",
       "7f547d36c1b7a45ce5561d1f1bb893ad6b1a4b16           47663   \n",
       "1d314f93ee2e693abc8db7f0c5c0b5bc88e1b189          185430   \n",
       "3e124661440aaee9ff2f5abd6580c96de9c409cd           64085   \n",
       "25571e148ab673e2bee73a203ccbc469ad2c2fcb           73526   \n",
       "4e4483f28e1fb45e7cd2efd68013d8713e093689           76701   \n",
       "eddf6f1f068d000d109a9f590f254b217f9231ec           54567   \n",
       "8936b3dfe6df7390975e0b3613010b294dea585f          472479   \n",
       "9bcec31a0af3473e657194f655644e361f4c6112          308761   \n",
       "56d4fd37d920ed660cbad59ea6783a1ac316d3f1          110855   \n",
       "c60580cced4a93dea0f1501fb8fc11b9568d8d09           60999   \n",
       "ea8c249c77726779692648c4b61e6f17e2c20ef1           61716   \n",
       "fe697d4d58f41d6e1de381fbfd12e8df7afd83f8           54944   \n",
       "7be688e97f64c952e8183855c713ded615bb9aa0           39274   \n",
       "918dd1da248df1e030da129727d26ff87d2c476d          193635   \n",
       "3f232a19515eafff49d19aa97622c92ced9e94aa           61587   \n",
       "2443904aef281c6a4cdff93a466908084cfa403d           45167   \n",
       "740f28a60dc9f4c080b5f2495e839a579134b05f           48754   \n",
       "882f5d32bf5d563b1b4804a5b5054e7bf38fd49e          120366   \n",
       "eab0bd7eddf6530830d0739c2b95df91c04311af           42682   \n",
       "fb1e8caeac265f01e6f14acd89b5caa950fad9db           45644   \n",
       "786ccbf412c44c9929f14d99f69b26c08b41c7c4           64970   \n",
       "...                                                  ...   \n",
       "f4e1249cdcc101d0aa1d61fdcad594b5ffaedd7a               1   \n",
       "1f0aec88f260aee14d77dc39b8e2db114d5e53f1               0   \n",
       "5848ab7e4866902978ed29f58a718ebe38fe533b               1   \n",
       "56fc6dab69d6747825f30071b3d55405bd7bc76a               0   \n",
       "5a93a40fee0828de942d2ed87e6498fb5539e771               0   \n",
       "fd9f75db2dd6cf003a4d3710f78c96a183c900af               0   \n",
       "3af22a8a9f33acd7d3563e43053bab8d724d5996               1   \n",
       "f0c3ae6a6bd50e9ad6b4cc46f1783efd157bd243               1   \n",
       "fc50cf94337627a443e18ff0a668562b265cce5b               0   \n",
       "c32fd52c8d2e02aba70271c4492b975099262983               1   \n",
       "c9304216196c1409380a7c249333cb66955928d1               0   \n",
       "4eb3c48a8a54ccdc973efb7c2782a9f07d7329ab               0   \n",
       "8541d646246355defc696897573ce52e5c2f1b87               1   \n",
       "5c377078cea6e6bdba3be1bba123e19d0d15bd79               1   \n",
       "c6616c46ae04437d27a12cfbf64ebebb3d89be33               0   \n",
       "997b3e829e98b6ef68e0072e17477310b9095fae               1   \n",
       "8061f2b3380e8915d26970a1124b761fe9c0add7               1   \n",
       "5b0911c3e20f654862c8519206cfcdb33c76290f               0   \n",
       "2c4c90d724d8fc6817ebc18815d13fdc5cf4b908               0   \n",
       "c75e906a52a20db93508391aefd3860f18d1eb5c               0   \n",
       "76df4362a0be5fbb7bfc02168d7f391aa194912d               0   \n",
       "9405dd882af60d34ebdeabb88e1e5a3fd5eb6403               0   \n",
       "7c66cddb70a24a69f9c687a5409bd9b41e413c27               0   \n",
       "a6c0dde1c0e8750d03e600bf6fc0b7dd0667536b               0   \n",
       "365c6f16c05b07ec35b5fc2afdf8a21ac9d9678a               0   \n",
       "f253306fa278a178f948b4c13682a248dbc5eef0               1   \n",
       "96fffc46028063fc811a83deeac400c0a3f53839               1   \n",
       "6132ea1ddd3b6547eb97e272a10df1adbba7bccc               0   \n",
       "fe1be446d676c9d8ff35367b6302f4f670f3813b               0   \n",
       "7dfb319c50b823a7a353edbb239d34cdaa5d8378               0   \n",
       "\n",
       "                                          fb_max_engagements_per_min  \\\n",
       "id                                                                     \n",
       "73ea9633c21733c5931c0c9c18b066285cb1bf39                      374.58   \n",
       "0844561b92420804aad85219a5552042ce4d265c                     1059.42   \n",
       "d89e12f04f8c41a417503f4ddd8738eb9e3a4fbe                      254.01   \n",
       "e517b876ffba73e2f5ffd10ba0f8f429906d29f5                      109.65   \n",
       "fc4d4c9056d6150a5d077277d6cbbad6d94cd9eb                      945.12   \n",
       "eb5cf786e76b63b71b65ee2d768bc6b852cd09f5                      345.35   \n",
       "f4068619cf024977dd22e0f55df457e8a5e1e81a                      217.41   \n",
       "ae93aeb0b54e4226e91f871104402b5d593c017a                      201.01   \n",
       "bac634126d3948d4a630e9ed45fc43daf5e47512                      111.27   \n",
       "7f547d36c1b7a45ce5561d1f1bb893ad6b1a4b16                     1509.05   \n",
       "1d314f93ee2e693abc8db7f0c5c0b5bc88e1b189                      796.22   \n",
       "3e124661440aaee9ff2f5abd6580c96de9c409cd                      419.10   \n",
       "25571e148ab673e2bee73a203ccbc469ad2c2fcb                      189.80   \n",
       "4e4483f28e1fb45e7cd2efd68013d8713e093689                      146.55   \n",
       "eddf6f1f068d000d109a9f590f254b217f9231ec                      160.80   \n",
       "8936b3dfe6df7390975e0b3613010b294dea585f                     1474.19   \n",
       "9bcec31a0af3473e657194f655644e361f4c6112                     1149.44   \n",
       "56d4fd37d920ed660cbad59ea6783a1ac316d3f1                      657.61   \n",
       "c60580cced4a93dea0f1501fb8fc11b9568d8d09                      151.83   \n",
       "ea8c249c77726779692648c4b61e6f17e2c20ef1                     1075.54   \n",
       "fe697d4d58f41d6e1de381fbfd12e8df7afd83f8                      148.26   \n",
       "7be688e97f64c952e8183855c713ded615bb9aa0                      406.15   \n",
       "918dd1da248df1e030da129727d26ff87d2c476d                     2130.00   \n",
       "3f232a19515eafff49d19aa97622c92ced9e94aa                      836.41   \n",
       "2443904aef281c6a4cdff93a466908084cfa403d                       28.91   \n",
       "740f28a60dc9f4c080b5f2495e839a579134b05f                       67.26   \n",
       "882f5d32bf5d563b1b4804a5b5054e7bf38fd49e                      468.15   \n",
       "eab0bd7eddf6530830d0739c2b95df91c04311af                      202.44   \n",
       "fb1e8caeac265f01e6f14acd89b5caa950fad9db                      179.60   \n",
       "786ccbf412c44c9929f14d99f69b26c08b41c7c4                      764.73   \n",
       "...                                                              ...   \n",
       "f4e1249cdcc101d0aa1d61fdcad594b5ffaedd7a                        0.02   \n",
       "1f0aec88f260aee14d77dc39b8e2db114d5e53f1                        0.00   \n",
       "5848ab7e4866902978ed29f58a718ebe38fe533b                        0.02   \n",
       "56fc6dab69d6747825f30071b3d55405bd7bc76a                        0.00   \n",
       "5a93a40fee0828de942d2ed87e6498fb5539e771                        0.00   \n",
       "fd9f75db2dd6cf003a4d3710f78c96a183c900af                        0.00   \n",
       "3af22a8a9f33acd7d3563e43053bab8d724d5996                        0.02   \n",
       "f0c3ae6a6bd50e9ad6b4cc46f1783efd157bd243                        0.00   \n",
       "fc50cf94337627a443e18ff0a668562b265cce5b                        0.00   \n",
       "c32fd52c8d2e02aba70271c4492b975099262983                        0.02   \n",
       "c9304216196c1409380a7c249333cb66955928d1                        0.00   \n",
       "4eb3c48a8a54ccdc973efb7c2782a9f07d7329ab                        0.00   \n",
       "8541d646246355defc696897573ce52e5c2f1b87                        0.02   \n",
       "5c377078cea6e6bdba3be1bba123e19d0d15bd79                        0.02   \n",
       "c6616c46ae04437d27a12cfbf64ebebb3d89be33                        0.00   \n",
       "997b3e829e98b6ef68e0072e17477310b9095fae                        0.02   \n",
       "8061f2b3380e8915d26970a1124b761fe9c0add7                        0.09   \n",
       "5b0911c3e20f654862c8519206cfcdb33c76290f                        0.00   \n",
       "2c4c90d724d8fc6817ebc18815d13fdc5cf4b908                        0.00   \n",
       "c75e906a52a20db93508391aefd3860f18d1eb5c                        0.00   \n",
       "76df4362a0be5fbb7bfc02168d7f391aa194912d                        0.00   \n",
       "9405dd882af60d34ebdeabb88e1e5a3fd5eb6403                        0.00   \n",
       "7c66cddb70a24a69f9c687a5409bd9b41e413c27                        0.00   \n",
       "a6c0dde1c0e8750d03e600bf6fc0b7dd0667536b                        0.00   \n",
       "365c6f16c05b07ec35b5fc2afdf8a21ac9d9678a                        0.00   \n",
       "f253306fa278a178f948b4c13682a248dbc5eef0                        0.02   \n",
       "96fffc46028063fc811a83deeac400c0a3f53839                        0.02   \n",
       "6132ea1ddd3b6547eb97e272a10df1adbba7bccc                        0.00   \n",
       "fe1be446d676c9d8ff35367b6302f4f670f3813b                        0.00   \n",
       "7dfb319c50b823a7a353edbb239d34cdaa5d8378                        0.00   \n",
       "\n",
       "                                         fb_max_engagements_per_min_time  \\\n",
       "id                                                                         \n",
       "73ea9633c21733c5931c0c9c18b066285cb1bf39        2017-11-27T10:21:10.556Z   \n",
       "0844561b92420804aad85219a5552042ce4d265c        2017-11-29T12:25:04.420Z   \n",
       "d89e12f04f8c41a417503f4ddd8738eb9e3a4fbe        2017-11-03T17:16:12.979Z   \n",
       "e517b876ffba73e2f5ffd10ba0f8f429906d29f5        2017-11-16T14:11:09.991Z   \n",
       "fc4d4c9056d6150a5d077277d6cbbad6d94cd9eb        2017-11-21T16:06:25.141Z   \n",
       "eb5cf786e76b63b71b65ee2d768bc6b852cd09f5        2017-11-26T23:19:13.135Z   \n",
       "f4068619cf024977dd22e0f55df457e8a5e1e81a        2017-11-11T16:54:07.932Z   \n",
       "ae93aeb0b54e4226e91f871104402b5d593c017a        2017-11-04T13:15:03.379Z   \n",
       "bac634126d3948d4a630e9ed45fc43daf5e47512        2017-11-24T15:22:11.248Z   \n",
       "7f547d36c1b7a45ce5561d1f1bb893ad6b1a4b16        2017-11-05T20:07:12.413Z   \n",
       "1d314f93ee2e693abc8db7f0c5c0b5bc88e1b189        2017-11-27T10:18:09.644Z   \n",
       "3e124661440aaee9ff2f5abd6580c96de9c409cd        2017-11-16T18:31:07.975Z   \n",
       "25571e148ab673e2bee73a203ccbc469ad2c2fcb        2017-11-29T21:42:10.905Z   \n",
       "4e4483f28e1fb45e7cd2efd68013d8713e093689        2017-11-24T14:16:10.600Z   \n",
       "eddf6f1f068d000d109a9f590f254b217f9231ec        2017-11-12T23:42:07.318Z   \n",
       "8936b3dfe6df7390975e0b3613010b294dea585f        2017-11-05T21:33:10.123Z   \n",
       "9bcec31a0af3473e657194f655644e361f4c6112        2017-11-22T02:43:07.665Z   \n",
       "56d4fd37d920ed660cbad59ea6783a1ac316d3f1        2017-11-08T02:48:10.555Z   \n",
       "c60580cced4a93dea0f1501fb8fc11b9568d8d09        2017-11-20T16:08:05.371Z   \n",
       "ea8c249c77726779692648c4b61e6f17e2c20ef1        2017-11-21T22:07:09.250Z   \n",
       "fe697d4d58f41d6e1de381fbfd12e8df7afd83f8        2017-11-16T22:11:10.231Z   \n",
       "7be688e97f64c952e8183855c713ded615bb9aa0        2017-11-20T20:14:06.158Z   \n",
       "918dd1da248df1e030da129727d26ff87d2c476d        2017-11-15T08:05:11.694Z   \n",
       "3f232a19515eafff49d19aa97622c92ced9e94aa        2017-11-29T18:04:08.063Z   \n",
       "2443904aef281c6a4cdff93a466908084cfa403d        2017-11-26T22:37:06.578Z   \n",
       "740f28a60dc9f4c080b5f2495e839a579134b05f        2017-11-06T14:55:11.872Z   \n",
       "882f5d32bf5d563b1b4804a5b5054e7bf38fd49e        2017-11-20T06:10:05.971Z   \n",
       "eab0bd7eddf6530830d0739c2b95df91c04311af        2017-11-20T14:12:06.345Z   \n",
       "fb1e8caeac265f01e6f14acd89b5caa950fad9db        2017-11-03T19:05:07.586Z   \n",
       "786ccbf412c44c9929f14d99f69b26c08b41c7c4        2017-11-15T04:03:14.627Z   \n",
       "...                                                                  ...   \n",
       "f4e1249cdcc101d0aa1d61fdcad594b5ffaedd7a        2017-11-21T22:04:09.231Z   \n",
       "1f0aec88f260aee14d77dc39b8e2db114d5e53f1        2017-11-06T19:06:11.406Z   \n",
       "5848ab7e4866902978ed29f58a718ebe38fe533b        2017-11-06T17:01:11.481Z   \n",
       "56fc6dab69d6747825f30071b3d55405bd7bc76a        2017-11-21T22:17:11.052Z   \n",
       "5a93a40fee0828de942d2ed87e6498fb5539e771        2017-11-21T22:13:21.095Z   \n",
       "fd9f75db2dd6cf003a4d3710f78c96a183c900af        2017-11-21T22:13:21.100Z   \n",
       "3af22a8a9f33acd7d3563e43053bab8d724d5996        2017-11-22T15:28:10.555Z   \n",
       "f0c3ae6a6bd50e9ad6b4cc46f1783efd157bd243        2017-11-06T19:10:03.159Z   \n",
       "fc50cf94337627a443e18ff0a668562b265cce5b        2017-11-06T17:59:10.516Z   \n",
       "c32fd52c8d2e02aba70271c4492b975099262983        2017-11-21T20:58:06.182Z   \n",
       "c9304216196c1409380a7c249333cb66955928d1        2017-11-21T22:58:04.726Z   \n",
       "4eb3c48a8a54ccdc973efb7c2782a9f07d7329ab        2017-11-06T18:17:06.170Z   \n",
       "8541d646246355defc696897573ce52e5c2f1b87        2017-11-22T08:58:11.287Z   \n",
       "5c377078cea6e6bdba3be1bba123e19d0d15bd79        2017-11-21T20:43:10.304Z   \n",
       "c6616c46ae04437d27a12cfbf64ebebb3d89be33        2017-11-21T23:46:09.078Z   \n",
       "997b3e829e98b6ef68e0072e17477310b9095fae        2017-11-21T23:49:10.183Z   \n",
       "8061f2b3380e8915d26970a1124b761fe9c0add7        2017-11-06T16:04:03.421Z   \n",
       "5b0911c3e20f654862c8519206cfcdb33c76290f        2017-11-21T23:46:09.059Z   \n",
       "2c4c90d724d8fc6817ebc18815d13fdc5cf4b908        2017-11-21T23:46:09.064Z   \n",
       "c75e906a52a20db93508391aefd3860f18d1eb5c        2017-11-21T21:47:10.450Z   \n",
       "76df4362a0be5fbb7bfc02168d7f391aa194912d        2017-11-21T22:53:13.683Z   \n",
       "9405dd882af60d34ebdeabb88e1e5a3fd5eb6403        2017-11-22T00:06:05.554Z   \n",
       "7c66cddb70a24a69f9c687a5409bd9b41e413c27        2017-11-21T21:47:10.436Z   \n",
       "a6c0dde1c0e8750d03e600bf6fc0b7dd0667536b        2017-11-21T22:53:13.692Z   \n",
       "365c6f16c05b07ec35b5fc2afdf8a21ac9d9678a        2017-11-21T22:58:04.728Z   \n",
       "f253306fa278a178f948b4c13682a248dbc5eef0        2017-11-06T17:11:04.540Z   \n",
       "96fffc46028063fc811a83deeac400c0a3f53839        2017-11-06T17:05:02.995Z   \n",
       "6132ea1ddd3b6547eb97e272a10df1adbba7bccc        2017-11-21T21:26:06.149Z   \n",
       "fe1be446d676c9d8ff35367b6302f4f670f3813b        2017-11-22T00:01:05.534Z   \n",
       "7dfb319c50b823a7a353edbb239d34cdaa5d8378        2017-12-01T01:20:14.296Z   \n",
       "\n",
       "                                          fb_comments  fb_reactions  \\\n",
       "id                                                                    \n",
       "73ea9633c21733c5931c0c9c18b066285cb1bf39        17091         95550   \n",
       "0844561b92420804aad85219a5552042ce4d265c       121197        131299   \n",
       "d89e12f04f8c41a417503f4ddd8738eb9e3a4fbe        57923         48747   \n",
       "e517b876ffba73e2f5ffd10ba0f8f429906d29f5        30123         80287   \n",
       "fc4d4c9056d6150a5d077277d6cbbad6d94cd9eb        11043         61549   \n",
       "eb5cf786e76b63b71b65ee2d768bc6b852cd09f5        12739         56089   \n",
       "f4068619cf024977dd22e0f55df457e8a5e1e81a        42730         63073   \n",
       "ae93aeb0b54e4226e91f871104402b5d593c017a        10290         47483   \n",
       "bac634126d3948d4a630e9ed45fc43daf5e47512         9639         53547   \n",
       "7f547d36c1b7a45ce5561d1f1bb893ad6b1a4b16        14615         22927   \n",
       "1d314f93ee2e693abc8db7f0c5c0b5bc88e1b189        32779        138647   \n",
       "3e124661440aaee9ff2f5abd6580c96de9c409cd        39607         18265   \n",
       "25571e148ab673e2bee73a203ccbc469ad2c2fcb        30333         33827   \n",
       "4e4483f28e1fb45e7cd2efd68013d8713e093689        11338         52336   \n",
       "eddf6f1f068d000d109a9f590f254b217f9231ec         6011         39256   \n",
       "8936b3dfe6df7390975e0b3613010b294dea585f       103331        319098   \n",
       "9bcec31a0af3473e657194f655644e361f4c6112        55066        213732   \n",
       "56d4fd37d920ed660cbad59ea6783a1ac316d3f1        11024         92195   \n",
       "c60580cced4a93dea0f1501fb8fc11b9568d8d09        39924         15995   \n",
       "ea8c249c77726779692648c4b61e6f17e2c20ef1        28421         25460   \n",
       "fe697d4d58f41d6e1de381fbfd12e8df7afd83f8         9329         35136   \n",
       "7be688e97f64c952e8183855c713ded615bb9aa0         6108         28213   \n",
       "918dd1da248df1e030da129727d26ff87d2c476d        15567        165814   \n",
       "3f232a19515eafff49d19aa97622c92ced9e94aa        22107         30644   \n",
       "2443904aef281c6a4cdff93a466908084cfa403d        15799         23122   \n",
       "740f28a60dc9f4c080b5f2495e839a579134b05f        14626         27026   \n",
       "882f5d32bf5d563b1b4804a5b5054e7bf38fd49e        32275         67753   \n",
       "eab0bd7eddf6530830d0739c2b95df91c04311af        17683         21738   \n",
       "fb1e8caeac265f01e6f14acd89b5caa950fad9db         7000         32402   \n",
       "786ccbf412c44c9929f14d99f69b26c08b41c7c4        19633         35757   \n",
       "...                                               ...           ...   \n",
       "f4e1249cdcc101d0aa1d61fdcad594b5ffaedd7a            0             0   \n",
       "1f0aec88f260aee14d77dc39b8e2db114d5e53f1            0             0   \n",
       "5848ab7e4866902978ed29f58a718ebe38fe533b            0             0   \n",
       "56fc6dab69d6747825f30071b3d55405bd7bc76a            0             0   \n",
       "5a93a40fee0828de942d2ed87e6498fb5539e771            0             0   \n",
       "fd9f75db2dd6cf003a4d3710f78c96a183c900af            0             0   \n",
       "3af22a8a9f33acd7d3563e43053bab8d724d5996            0             0   \n",
       "f0c3ae6a6bd50e9ad6b4cc46f1783efd157bd243            0             0   \n",
       "fc50cf94337627a443e18ff0a668562b265cce5b            0             0   \n",
       "c32fd52c8d2e02aba70271c4492b975099262983            0             0   \n",
       "c9304216196c1409380a7c249333cb66955928d1            0             0   \n",
       "4eb3c48a8a54ccdc973efb7c2782a9f07d7329ab            0             0   \n",
       "8541d646246355defc696897573ce52e5c2f1b87            0             0   \n",
       "5c377078cea6e6bdba3be1bba123e19d0d15bd79            0             0   \n",
       "c6616c46ae04437d27a12cfbf64ebebb3d89be33            0             0   \n",
       "997b3e829e98b6ef68e0072e17477310b9095fae            0             0   \n",
       "8061f2b3380e8915d26970a1124b761fe9c0add7            0             0   \n",
       "5b0911c3e20f654862c8519206cfcdb33c76290f            0             0   \n",
       "2c4c90d724d8fc6817ebc18815d13fdc5cf4b908            0             0   \n",
       "c75e906a52a20db93508391aefd3860f18d1eb5c            0             0   \n",
       "76df4362a0be5fbb7bfc02168d7f391aa194912d            0             0   \n",
       "9405dd882af60d34ebdeabb88e1e5a3fd5eb6403            0             0   \n",
       "7c66cddb70a24a69f9c687a5409bd9b41e413c27            0             0   \n",
       "a6c0dde1c0e8750d03e600bf6fc0b7dd0667536b            0             0   \n",
       "365c6f16c05b07ec35b5fc2afdf8a21ac9d9678a            0             0   \n",
       "f253306fa278a178f948b4c13682a248dbc5eef0            0             0   \n",
       "96fffc46028063fc811a83deeac400c0a3f53839            0             0   \n",
       "6132ea1ddd3b6547eb97e272a10df1adbba7bccc            0             0   \n",
       "fe1be446d676c9d8ff35367b6302f4f670f3813b            0             0   \n",
       "7dfb319c50b823a7a353edbb239d34cdaa5d8378            0             0   \n",
       "\n",
       "                                          fb_shares       ...         \\\n",
       "id                                                        ...          \n",
       "73ea9633c21733c5931c0c9c18b066285cb1bf39       7439       ...          \n",
       "0844561b92420804aad85219a5552042ce4d265c      27976       ...          \n",
       "d89e12f04f8c41a417503f4ddd8738eb9e3a4fbe       9689       ...          \n",
       "e517b876ffba73e2f5ffd10ba0f8f429906d29f5      12731       ...          \n",
       "fc4d4c9056d6150a5d077277d6cbbad6d94cd9eb      10726       ...          \n",
       "eb5cf786e76b63b71b65ee2d768bc6b852cd09f5       3563       ...          \n",
       "f4068619cf024977dd22e0f55df457e8a5e1e81a      13567       ...          \n",
       "ae93aeb0b54e4226e91f871104402b5d593c017a       7111       ...          \n",
       "bac634126d3948d4a630e9ed45fc43daf5e47512      10084       ...          \n",
       "7f547d36c1b7a45ce5561d1f1bb893ad6b1a4b16      10121       ...          \n",
       "1d314f93ee2e693abc8db7f0c5c0b5bc88e1b189      14004       ...          \n",
       "3e124661440aaee9ff2f5abd6580c96de9c409cd       6213       ...          \n",
       "25571e148ab673e2bee73a203ccbc469ad2c2fcb       9366       ...          \n",
       "4e4483f28e1fb45e7cd2efd68013d8713e093689      13027       ...          \n",
       "eddf6f1f068d000d109a9f590f254b217f9231ec       9300       ...          \n",
       "8936b3dfe6df7390975e0b3613010b294dea585f      50050       ...          \n",
       "9bcec31a0af3473e657194f655644e361f4c6112      39963       ...          \n",
       "56d4fd37d920ed660cbad59ea6783a1ac316d3f1       7636       ...          \n",
       "c60580cced4a93dea0f1501fb8fc11b9568d8d09       5080       ...          \n",
       "ea8c249c77726779692648c4b61e6f17e2c20ef1       7835       ...          \n",
       "fe697d4d58f41d6e1de381fbfd12e8df7afd83f8      10479       ...          \n",
       "7be688e97f64c952e8183855c713ded615bb9aa0       4953       ...          \n",
       "918dd1da248df1e030da129727d26ff87d2c476d      12254       ...          \n",
       "3f232a19515eafff49d19aa97622c92ced9e94aa       8836       ...          \n",
       "2443904aef281c6a4cdff93a466908084cfa403d       6246       ...          \n",
       "740f28a60dc9f4c080b5f2495e839a579134b05f       7102       ...          \n",
       "882f5d32bf5d563b1b4804a5b5054e7bf38fd49e      20338       ...          \n",
       "eab0bd7eddf6530830d0739c2b95df91c04311af       3261       ...          \n",
       "fb1e8caeac265f01e6f14acd89b5caa950fad9db       6242       ...          \n",
       "786ccbf412c44c9929f14d99f69b26c08b41c7c4       9580       ...          \n",
       "...                                             ...       ...          \n",
       "f4e1249cdcc101d0aa1d61fdcad594b5ffaedd7a          1       ...          \n",
       "1f0aec88f260aee14d77dc39b8e2db114d5e53f1          0       ...          \n",
       "5848ab7e4866902978ed29f58a718ebe38fe533b          1       ...          \n",
       "56fc6dab69d6747825f30071b3d55405bd7bc76a          0       ...          \n",
       "5a93a40fee0828de942d2ed87e6498fb5539e771          0       ...          \n",
       "fd9f75db2dd6cf003a4d3710f78c96a183c900af          0       ...          \n",
       "3af22a8a9f33acd7d3563e43053bab8d724d5996          1       ...          \n",
       "f0c3ae6a6bd50e9ad6b4cc46f1783efd157bd243          1       ...          \n",
       "fc50cf94337627a443e18ff0a668562b265cce5b          0       ...          \n",
       "c32fd52c8d2e02aba70271c4492b975099262983          1       ...          \n",
       "c9304216196c1409380a7c249333cb66955928d1          0       ...          \n",
       "4eb3c48a8a54ccdc973efb7c2782a9f07d7329ab          0       ...          \n",
       "8541d646246355defc696897573ce52e5c2f1b87          1       ...          \n",
       "5c377078cea6e6bdba3be1bba123e19d0d15bd79          1       ...          \n",
       "c6616c46ae04437d27a12cfbf64ebebb3d89be33          0       ...          \n",
       "997b3e829e98b6ef68e0072e17477310b9095fae          1       ...          \n",
       "8061f2b3380e8915d26970a1124b761fe9c0add7          1       ...          \n",
       "5b0911c3e20f654862c8519206cfcdb33c76290f          0       ...          \n",
       "2c4c90d724d8fc6817ebc18815d13fdc5cf4b908          0       ...          \n",
       "c75e906a52a20db93508391aefd3860f18d1eb5c          0       ...          \n",
       "76df4362a0be5fbb7bfc02168d7f391aa194912d          0       ...          \n",
       "9405dd882af60d34ebdeabb88e1e5a3fd5eb6403          0       ...          \n",
       "7c66cddb70a24a69f9c687a5409bd9b41e413c27          0       ...          \n",
       "a6c0dde1c0e8750d03e600bf6fc0b7dd0667536b          0       ...          \n",
       "365c6f16c05b07ec35b5fc2afdf8a21ac9d9678a          0       ...          \n",
       "f253306fa278a178f948b4c13682a248dbc5eef0          1       ...          \n",
       "96fffc46028063fc811a83deeac400c0a3f53839          1       ...          \n",
       "6132ea1ddd3b6547eb97e272a10df1adbba7bccc          0       ...          \n",
       "fe1be446d676c9d8ff35367b6302f4f670f3813b          0       ...          \n",
       "7dfb319c50b823a7a353edbb239d34cdaa5d8378          0       ...          \n",
       "\n",
       "                                         fb_brand_page_likes  \\\n",
       "id                                                             \n",
       "73ea9633c21733c5931c0c9c18b066285cb1bf39         29210147.00   \n",
       "0844561b92420804aad85219a5552042ce4d265c         29221482.00   \n",
       "d89e12f04f8c41a417503f4ddd8738eb9e3a4fbe         29117755.00   \n",
       "e517b876ffba73e2f5ffd10ba0f8f429906d29f5          2764495.00   \n",
       "fc4d4c9056d6150a5d077277d6cbbad6d94cd9eb         44879347.00   \n",
       "eb5cf786e76b63b71b65ee2d768bc6b852cd09f5         29208375.00   \n",
       "f4068619cf024977dd22e0f55df457e8a5e1e81a         29149649.00   \n",
       "ae93aeb0b54e4226e91f871104402b5d593c017a         29121177.00   \n",
       "bac634126d3948d4a630e9ed45fc43daf5e47512         44919422.00   \n",
       "7f547d36c1b7a45ce5561d1f1bb893ad6b1a4b16         44674035.00   \n",
       "1d314f93ee2e693abc8db7f0c5c0b5bc88e1b189         44955978.00   \n",
       "3e124661440aaee9ff2f5abd6580c96de9c409cd         29165786.00   \n",
       "25571e148ab673e2bee73a203ccbc469ad2c2fcb         29240975.00   \n",
       "4e4483f28e1fb45e7cd2efd68013d8713e093689         29200399.00   \n",
       "eddf6f1f068d000d109a9f590f254b217f9231ec         29153473.00   \n",
       "8936b3dfe6df7390975e0b3613010b294dea585f         29130688.00   \n",
       "9bcec31a0af3473e657194f655644e361f4c6112         29180211.00   \n",
       "56d4fd37d920ed660cbad59ea6783a1ac316d3f1         29140017.00   \n",
       "c60580cced4a93dea0f1501fb8fc11b9568d8d09         29174292.00   \n",
       "ea8c249c77726779692648c4b61e6f17e2c20ef1         29179024.00   \n",
       "fe697d4d58f41d6e1de381fbfd12e8df7afd83f8          2763703.00   \n",
       "7be688e97f64c952e8183855c713ded615bb9aa0          2765039.00   \n",
       "918dd1da248df1e030da129727d26ff87d2c476d         44796279.00   \n",
       "3f232a19515eafff49d19aa97622c92ced9e94aa         44978694.00   \n",
       "2443904aef281c6a4cdff93a466908084cfa403d          2775117.00   \n",
       "740f28a60dc9f4c080b5f2495e839a579134b05f         29134644.00   \n",
       "882f5d32bf5d563b1b4804a5b5054e7bf38fd49e          9801729.00   \n",
       "eab0bd7eddf6530830d0739c2b95df91c04311af         29174331.00   \n",
       "fb1e8caeac265f01e6f14acd89b5caa950fad9db         29115629.00   \n",
       "786ccbf412c44c9929f14d99f69b26c08b41c7c4         29159769.00   \n",
       "...                                                      ...   \n",
       "f4e1249cdcc101d0aa1d61fdcad594b5ffaedd7a                 nan   \n",
       "1f0aec88f260aee14d77dc39b8e2db114d5e53f1                 nan   \n",
       "5848ab7e4866902978ed29f58a718ebe38fe533b                 nan   \n",
       "56fc6dab69d6747825f30071b3d55405bd7bc76a                 nan   \n",
       "5a93a40fee0828de942d2ed87e6498fb5539e771                 nan   \n",
       "fd9f75db2dd6cf003a4d3710f78c96a183c900af                 nan   \n",
       "3af22a8a9f33acd7d3563e43053bab8d724d5996                 nan   \n",
       "f0c3ae6a6bd50e9ad6b4cc46f1783efd157bd243                 nan   \n",
       "fc50cf94337627a443e18ff0a668562b265cce5b                 nan   \n",
       "c32fd52c8d2e02aba70271c4492b975099262983                 nan   \n",
       "c9304216196c1409380a7c249333cb66955928d1                 nan   \n",
       "4eb3c48a8a54ccdc973efb7c2782a9f07d7329ab                 nan   \n",
       "8541d646246355defc696897573ce52e5c2f1b87                 nan   \n",
       "5c377078cea6e6bdba3be1bba123e19d0d15bd79                 nan   \n",
       "c6616c46ae04437d27a12cfbf64ebebb3d89be33                 nan   \n",
       "997b3e829e98b6ef68e0072e17477310b9095fae                 nan   \n",
       "8061f2b3380e8915d26970a1124b761fe9c0add7                 nan   \n",
       "5b0911c3e20f654862c8519206cfcdb33c76290f                 nan   \n",
       "2c4c90d724d8fc6817ebc18815d13fdc5cf4b908                 nan   \n",
       "c75e906a52a20db93508391aefd3860f18d1eb5c                 nan   \n",
       "76df4362a0be5fbb7bfc02168d7f391aa194912d                 nan   \n",
       "9405dd882af60d34ebdeabb88e1e5a3fd5eb6403                 nan   \n",
       "7c66cddb70a24a69f9c687a5409bd9b41e413c27                 nan   \n",
       "a6c0dde1c0e8750d03e600bf6fc0b7dd0667536b                 nan   \n",
       "365c6f16c05b07ec35b5fc2afdf8a21ac9d9678a                 nan   \n",
       "f253306fa278a178f948b4c13682a248dbc5eef0                 nan   \n",
       "96fffc46028063fc811a83deeac400c0a3f53839                 nan   \n",
       "6132ea1ddd3b6547eb97e272a10df1adbba7bccc                 nan   \n",
       "fe1be446d676c9d8ff35367b6302f4f670f3813b                 nan   \n",
       "7dfb319c50b823a7a353edbb239d34cdaa5d8378                 nan   \n",
       "\n",
       "                                                fb_brand_page_time  \\\n",
       "id                                                                   \n",
       "73ea9633c21733c5931c0c9c18b066285cb1bf39  2017-11-27T10:10:57.000Z   \n",
       "0844561b92420804aad85219a5552042ce4d265c  2017-11-29T12:10:25.000Z   \n",
       "d89e12f04f8c41a417503f4ddd8738eb9e3a4fbe  2017-11-03T15:50:13.000Z   \n",
       "e517b876ffba73e2f5ffd10ba0f8f429906d29f5  2017-11-19T16:02:00.000Z   \n",
       "fc4d4c9056d6150a5d077277d6cbbad6d94cd9eb  2017-11-21T15:54:48.000Z   \n",
       "eb5cf786e76b63b71b65ee2d768bc6b852cd09f5  2017-11-26T23:00:07.000Z   \n",
       "f4068619cf024977dd22e0f55df457e8a5e1e81a  2017-11-11T11:55:15.000Z   \n",
       "ae93aeb0b54e4226e91f871104402b5d593c017a  2017-11-04T12:46:27.000Z   \n",
       "bac634126d3948d4a630e9ed45fc43daf5e47512  2017-11-24T15:12:31.000Z   \n",
       "7f547d36c1b7a45ce5561d1f1bb893ad6b1a4b16  2017-11-05T18:02:24.000Z   \n",
       "1d314f93ee2e693abc8db7f0c5c0b5bc88e1b189  2017-11-27T10:10:16.000Z   \n",
       "3e124661440aaee9ff2f5abd6580c96de9c409cd  2017-11-16T16:34:06.000Z   \n",
       "25571e148ab673e2bee73a203ccbc469ad2c2fcb  2017-12-03T13:30:19.000Z   \n",
       "4e4483f28e1fb45e7cd2efd68013d8713e093689  2017-11-24T13:30:59.000Z   \n",
       "eddf6f1f068d000d109a9f590f254b217f9231ec  2017-11-12T23:30:23.000Z   \n",
       "8936b3dfe6df7390975e0b3613010b294dea585f  2017-11-05T19:33:59.000Z   \n",
       "9bcec31a0af3473e657194f655644e361f4c6112  2017-11-22T02:29:19.000Z   \n",
       "56d4fd37d920ed660cbad59ea6783a1ac316d3f1  2017-11-08T02:16:05.000Z   \n",
       "c60580cced4a93dea0f1501fb8fc11b9568d8d09  2017-11-20T14:34:07.000Z   \n",
       "ea8c249c77726779692648c4b61e6f17e2c20ef1  2017-11-21T23:00:28.000Z   \n",
       "fe697d4d58f41d6e1de381fbfd12e8df7afd83f8  2017-11-18T20:04:00.000Z   \n",
       "7be688e97f64c952e8183855c713ded615bb9aa0  2017-11-20T17:09:20.000Z   \n",
       "918dd1da248df1e030da129727d26ff87d2c476d  2017-11-14T23:06:11.000Z   \n",
       "3f232a19515eafff49d19aa97622c92ced9e94aa  2017-11-29T12:01:35.000Z   \n",
       "2443904aef281c6a4cdff93a466908084cfa403d  2017-11-26T16:41:11.000Z   \n",
       "740f28a60dc9f4c080b5f2495e839a579134b05f  2017-11-06T10:00:05.000Z   \n",
       "882f5d32bf5d563b1b4804a5b5054e7bf38fd49e  2017-11-20T05:57:04.000Z   \n",
       "eab0bd7eddf6530830d0739c2b95df91c04311af  2017-11-20T13:50:04.000Z   \n",
       "fb1e8caeac265f01e6f14acd89b5caa950fad9db  2017-11-02T23:45:09.000Z   \n",
       "786ccbf412c44c9929f14d99f69b26c08b41c7c4  2017-11-14T20:30:12.000Z   \n",
       "...                                                            ...   \n",
       "f4e1249cdcc101d0aa1d61fdcad594b5ffaedd7a                       NaN   \n",
       "1f0aec88f260aee14d77dc39b8e2db114d5e53f1                       NaN   \n",
       "5848ab7e4866902978ed29f58a718ebe38fe533b                       NaN   \n",
       "56fc6dab69d6747825f30071b3d55405bd7bc76a                       NaN   \n",
       "5a93a40fee0828de942d2ed87e6498fb5539e771                       NaN   \n",
       "fd9f75db2dd6cf003a4d3710f78c96a183c900af                       NaN   \n",
       "3af22a8a9f33acd7d3563e43053bab8d724d5996                       NaN   \n",
       "f0c3ae6a6bd50e9ad6b4cc46f1783efd157bd243                       NaN   \n",
       "fc50cf94337627a443e18ff0a668562b265cce5b                       NaN   \n",
       "c32fd52c8d2e02aba70271c4492b975099262983                       NaN   \n",
       "c9304216196c1409380a7c249333cb66955928d1                       NaN   \n",
       "4eb3c48a8a54ccdc973efb7c2782a9f07d7329ab                       NaN   \n",
       "8541d646246355defc696897573ce52e5c2f1b87                       NaN   \n",
       "5c377078cea6e6bdba3be1bba123e19d0d15bd79                       NaN   \n",
       "c6616c46ae04437d27a12cfbf64ebebb3d89be33                       NaN   \n",
       "997b3e829e98b6ef68e0072e17477310b9095fae                       NaN   \n",
       "8061f2b3380e8915d26970a1124b761fe9c0add7                       NaN   \n",
       "5b0911c3e20f654862c8519206cfcdb33c76290f                       NaN   \n",
       "2c4c90d724d8fc6817ebc18815d13fdc5cf4b908                       NaN   \n",
       "c75e906a52a20db93508391aefd3860f18d1eb5c                       NaN   \n",
       "76df4362a0be5fbb7bfc02168d7f391aa194912d                       NaN   \n",
       "9405dd882af60d34ebdeabb88e1e5a3fd5eb6403                       NaN   \n",
       "7c66cddb70a24a69f9c687a5409bd9b41e413c27                       NaN   \n",
       "a6c0dde1c0e8750d03e600bf6fc0b7dd0667536b                       NaN   \n",
       "365c6f16c05b07ec35b5fc2afdf8a21ac9d9678a                       NaN   \n",
       "f253306fa278a178f948b4c13682a248dbc5eef0                       NaN   \n",
       "96fffc46028063fc811a83deeac400c0a3f53839                       NaN   \n",
       "6132ea1ddd3b6547eb97e272a10df1adbba7bccc                       NaN   \n",
       "fe1be446d676c9d8ff35367b6302f4f670f3813b                       NaN   \n",
       "7dfb319c50b823a7a353edbb239d34cdaa5d8378                       NaN   \n",
       "\n",
       "                                          alexa_rank  word_count  \\\n",
       "id                                                                 \n",
       "73ea9633c21733c5931c0c9c18b066285cb1bf39         105       30.00   \n",
       "0844561b92420804aad85219a5552042ce4d265c         105         nan   \n",
       "d89e12f04f8c41a417503f4ddd8738eb9e3a4fbe         105      710.00   \n",
       "e517b876ffba73e2f5ffd10ba0f8f429906d29f5         147      741.00   \n",
       "fc4d4c9056d6150a5d077277d6cbbad6d94cd9eb          96       59.00   \n",
       "eb5cf786e76b63b71b65ee2d768bc6b852cd09f5         105      583.00   \n",
       "f4068619cf024977dd22e0f55df457e8a5e1e81a         105      269.00   \n",
       "ae93aeb0b54e4226e91f871104402b5d593c017a         105     1268.00   \n",
       "bac634126d3948d4a630e9ed45fc43daf5e47512          96       64.00   \n",
       "7f547d36c1b7a45ce5561d1f1bb893ad6b1a4b16          96     1092.00   \n",
       "1d314f93ee2e693abc8db7f0c5c0b5bc88e1b189          96       64.00   \n",
       "3e124661440aaee9ff2f5abd6580c96de9c409cd         105      394.00   \n",
       "25571e148ab673e2bee73a203ccbc469ad2c2fcb         105     1098.00   \n",
       "4e4483f28e1fb45e7cd2efd68013d8713e093689         105       77.00   \n",
       "eddf6f1f068d000d109a9f590f254b217f9231ec         105       44.00   \n",
       "8936b3dfe6df7390975e0b3613010b294dea585f         105       93.00   \n",
       "9bcec31a0af3473e657194f655644e361f4c6112         105      524.00   \n",
       "56d4fd37d920ed660cbad59ea6783a1ac316d3f1         105      730.00   \n",
       "c60580cced4a93dea0f1501fb8fc11b9568d8d09         105     1237.00   \n",
       "ea8c249c77726779692648c4b61e6f17e2c20ef1         105      113.00   \n",
       "fe697d4d58f41d6e1de381fbfd12e8df7afd83f8         147      115.00   \n",
       "7be688e97f64c952e8183855c713ded615bb9aa0         147      867.00   \n",
       "918dd1da248df1e030da129727d26ff87d2c476d          96       64.00   \n",
       "3f232a19515eafff49d19aa97622c92ced9e94aa          96       64.00   \n",
       "2443904aef281c6a4cdff93a466908084cfa403d         147     4608.00   \n",
       "740f28a60dc9f4c080b5f2495e839a579134b05f         105     1327.00   \n",
       "882f5d32bf5d563b1b4804a5b5054e7bf38fd49e         215      918.00   \n",
       "eab0bd7eddf6530830d0739c2b95df91c04311af         105      242.00   \n",
       "fb1e8caeac265f01e6f14acd89b5caa950fad9db         105         nan   \n",
       "786ccbf412c44c9929f14d99f69b26c08b41c7c4         105      137.00   \n",
       "...                                              ...         ...   \n",
       "f4e1249cdcc101d0aa1d61fdcad594b5ffaedd7a         158      263.00   \n",
       "1f0aec88f260aee14d77dc39b8e2db114d5e53f1         191      303.00   \n",
       "5848ab7e4866902978ed29f58a718ebe38fe533b         191      105.00   \n",
       "56fc6dab69d6747825f30071b3d55405bd7bc76a         191      129.00   \n",
       "5a93a40fee0828de942d2ed87e6498fb5539e771         191      150.00   \n",
       "fd9f75db2dd6cf003a4d3710f78c96a183c900af         215     1217.00   \n",
       "3af22a8a9f33acd7d3563e43053bab8d724d5996         191      147.00   \n",
       "f0c3ae6a6bd50e9ad6b4cc46f1783efd157bd243         215      733.00   \n",
       "fc50cf94337627a443e18ff0a668562b265cce5b         191      154.00   \n",
       "c32fd52c8d2e02aba70271c4492b975099262983         215      549.00   \n",
       "c9304216196c1409380a7c249333cb66955928d1         191      816.00   \n",
       "4eb3c48a8a54ccdc973efb7c2782a9f07d7329ab         215      838.00   \n",
       "8541d646246355defc696897573ce52e5c2f1b87          96      633.00   \n",
       "5c377078cea6e6bdba3be1bba123e19d0d15bd79         215      849.00   \n",
       "c6616c46ae04437d27a12cfbf64ebebb3d89be33         215      794.00   \n",
       "997b3e829e98b6ef68e0072e17477310b9095fae         191      151.00   \n",
       "8061f2b3380e8915d26970a1124b761fe9c0add7        1596      371.00   \n",
       "5b0911c3e20f654862c8519206cfcdb33c76290f         191      337.00   \n",
       "2c4c90d724d8fc6817ebc18815d13fdc5cf4b908         191      781.00   \n",
       "c75e906a52a20db93508391aefd3860f18d1eb5c          96         nan   \n",
       "76df4362a0be5fbb7bfc02168d7f391aa194912d         191      766.00   \n",
       "9405dd882af60d34ebdeabb88e1e5a3fd5eb6403         191      146.00   \n",
       "7c66cddb70a24a69f9c687a5409bd9b41e413c27         370      120.00   \n",
       "a6c0dde1c0e8750d03e600bf6fc0b7dd0667536b         191      740.00   \n",
       "365c6f16c05b07ec35b5fc2afdf8a21ac9d9678a         191      141.00   \n",
       "f253306fa278a178f948b4c13682a248dbc5eef0         191      833.00   \n",
       "96fffc46028063fc811a83deeac400c0a3f53839         158      401.00   \n",
       "6132ea1ddd3b6547eb97e272a10df1adbba7bccc         191         nan   \n",
       "fe1be446d676c9d8ff35367b6302f4f670f3813b         215      498.00   \n",
       "7dfb319c50b823a7a353edbb239d34cdaa5d8378         158      566.00   \n",
       "\n",
       "                                          response_score  lead_score  \\\n",
       "id                                                                     \n",
       "73ea9633c21733c5931c0c9c18b066285cb1bf39           50.00       20.00   \n",
       "0844561b92420804aad85219a5552042ce4d265c           50.00       20.00   \n",
       "d89e12f04f8c41a417503f4ddd8738eb9e3a4fbe           50.00       20.00   \n",
       "e517b876ffba73e2f5ffd10ba0f8f429906d29f5           50.00       19.00   \n",
       "fc4d4c9056d6150a5d077277d6cbbad6d94cd9eb           50.00       20.00   \n",
       "eb5cf786e76b63b71b65ee2d768bc6b852cd09f5           49.00       20.00   \n",
       "f4068619cf024977dd22e0f55df457e8a5e1e81a           50.00       20.00   \n",
       "ae93aeb0b54e4226e91f871104402b5d593c017a           48.00       20.00   \n",
       "bac634126d3948d4a630e9ed45fc43daf5e47512           49.00       20.00   \n",
       "7f547d36c1b7a45ce5561d1f1bb893ad6b1a4b16           46.00       20.00   \n",
       "1d314f93ee2e693abc8db7f0c5c0b5bc88e1b189           50.00       20.00   \n",
       "3e124661440aaee9ff2f5abd6580c96de9c409cd           48.00       20.00   \n",
       "25571e148ab673e2bee73a203ccbc469ad2c2fcb           49.00       20.00   \n",
       "4e4483f28e1fb45e7cd2efd68013d8713e093689           49.00       20.00   \n",
       "eddf6f1f068d000d109a9f590f254b217f9231ec           47.00       20.00   \n",
       "8936b3dfe6df7390975e0b3613010b294dea585f           50.00       20.00   \n",
       "9bcec31a0af3473e657194f655644e361f4c6112           50.00       20.00   \n",
       "56d4fd37d920ed660cbad59ea6783a1ac316d3f1           50.00       20.00   \n",
       "c60580cced4a93dea0f1501fb8fc11b9568d8d09           48.00       20.00   \n",
       "ea8c249c77726779692648c4b61e6f17e2c20ef1           48.00       20.00   \n",
       "fe697d4d58f41d6e1de381fbfd12e8df7afd83f8           47.00       19.00   \n",
       "7be688e97f64c952e8183855c713ded615bb9aa0           45.00       19.00   \n",
       "918dd1da248df1e030da129727d26ff87d2c476d           50.00       13.00   \n",
       "3f232a19515eafff49d19aa97622c92ced9e94aa           48.00       20.00   \n",
       "2443904aef281c6a4cdff93a466908084cfa403d           46.00       19.00   \n",
       "740f28a60dc9f4c080b5f2495e839a579134b05f           47.00       20.00   \n",
       "882f5d32bf5d563b1b4804a5b5054e7bf38fd49e           50.00       17.00   \n",
       "eab0bd7eddf6530830d0739c2b95df91c04311af           46.00       20.00   \n",
       "fb1e8caeac265f01e6f14acd89b5caa950fad9db           46.00       20.00   \n",
       "786ccbf412c44c9929f14d99f69b26c08b41c7c4           48.00       20.00   \n",
       "...                                                  ...         ...   \n",
       "f4e1249cdcc101d0aa1d61fdcad594b5ffaedd7a            0.00        0.00   \n",
       "1f0aec88f260aee14d77dc39b8e2db114d5e53f1            0.00        0.00   \n",
       "5848ab7e4866902978ed29f58a718ebe38fe533b            0.00        0.00   \n",
       "56fc6dab69d6747825f30071b3d55405bd7bc76a            0.00        0.00   \n",
       "5a93a40fee0828de942d2ed87e6498fb5539e771            0.00        0.00   \n",
       "fd9f75db2dd6cf003a4d3710f78c96a183c900af            0.00        0.00   \n",
       "3af22a8a9f33acd7d3563e43053bab8d724d5996            0.00        0.00   \n",
       "f0c3ae6a6bd50e9ad6b4cc46f1783efd157bd243            0.00        0.00   \n",
       "fc50cf94337627a443e18ff0a668562b265cce5b            0.00        0.00   \n",
       "c32fd52c8d2e02aba70271c4492b975099262983            0.00        0.00   \n",
       "c9304216196c1409380a7c249333cb66955928d1            0.00        0.00   \n",
       "4eb3c48a8a54ccdc973efb7c2782a9f07d7329ab            0.00        0.00   \n",
       "8541d646246355defc696897573ce52e5c2f1b87            0.00        0.00   \n",
       "5c377078cea6e6bdba3be1bba123e19d0d15bd79            0.00        0.00   \n",
       "c6616c46ae04437d27a12cfbf64ebebb3d89be33            0.00        0.00   \n",
       "997b3e829e98b6ef68e0072e17477310b9095fae            0.00        0.00   \n",
       "8061f2b3380e8915d26970a1124b761fe9c0add7            0.00        0.00   \n",
       "5b0911c3e20f654862c8519206cfcdb33c76290f            0.00        0.00   \n",
       "2c4c90d724d8fc6817ebc18815d13fdc5cf4b908            0.00        0.00   \n",
       "c75e906a52a20db93508391aefd3860f18d1eb5c            0.00        0.00   \n",
       "76df4362a0be5fbb7bfc02168d7f391aa194912d            0.00        0.00   \n",
       "9405dd882af60d34ebdeabb88e1e5a3fd5eb6403            0.00        0.00   \n",
       "7c66cddb70a24a69f9c687a5409bd9b41e413c27            0.00        0.00   \n",
       "a6c0dde1c0e8750d03e600bf6fc0b7dd0667536b            0.00        0.00   \n",
       "365c6f16c05b07ec35b5fc2afdf8a21ac9d9678a            0.00        0.00   \n",
       "f253306fa278a178f948b4c13682a248dbc5eef0            0.00        0.00   \n",
       "96fffc46028063fc811a83deeac400c0a3f53839            0.00        0.00   \n",
       "6132ea1ddd3b6547eb97e272a10df1adbba7bccc            0.00        0.00   \n",
       "fe1be446d676c9d8ff35367b6302f4f670f3813b            0.00        0.00   \n",
       "7dfb319c50b823a7a353edbb239d34cdaa5d8378            0.00        0.00   \n",
       "\n",
       "                                          front_score  \\\n",
       "id                                                      \n",
       "73ea9633c21733c5931c0c9c18b066285cb1bf39         9.00   \n",
       "0844561b92420804aad85219a5552042ce4d265c         9.00   \n",
       "d89e12f04f8c41a417503f4ddd8738eb9e3a4fbe         8.00   \n",
       "e517b876ffba73e2f5ffd10ba0f8f429906d29f5        13.00   \n",
       "fc4d4c9056d6150a5d077277d6cbbad6d94cd9eb         8.00   \n",
       "eb5cf786e76b63b71b65ee2d768bc6b852cd09f5         9.00   \n",
       "f4068619cf024977dd22e0f55df457e8a5e1e81a         8.00   \n",
       "ae93aeb0b54e4226e91f871104402b5d593c017a         9.00   \n",
       "bac634126d3948d4a630e9ed45fc43daf5e47512         8.00   \n",
       "7f547d36c1b7a45ce5561d1f1bb893ad6b1a4b16        11.00   \n",
       "1d314f93ee2e693abc8db7f0c5c0b5bc88e1b189         7.00   \n",
       "3e124661440aaee9ff2f5abd6580c96de9c409cd         9.00   \n",
       "25571e148ab673e2bee73a203ccbc469ad2c2fcb         8.00   \n",
       "4e4483f28e1fb45e7cd2efd68013d8713e093689         7.00   \n",
       "eddf6f1f068d000d109a9f590f254b217f9231ec         9.00   \n",
       "8936b3dfe6df7390975e0b3613010b294dea585f         6.00   \n",
       "9bcec31a0af3473e657194f655644e361f4c6112         6.00   \n",
       "56d4fd37d920ed660cbad59ea6783a1ac316d3f1         6.00   \n",
       "c60580cced4a93dea0f1501fb8fc11b9568d8d09         8.00   \n",
       "ea8c249c77726779692648c4b61e6f17e2c20ef1         7.00   \n",
       "fe697d4d58f41d6e1de381fbfd12e8df7afd83f8        13.00   \n",
       "7be688e97f64c952e8183855c713ded615bb9aa0        15.00   \n",
       "918dd1da248df1e030da129727d26ff87d2c476d        12.00   \n",
       "3f232a19515eafff49d19aa97622c92ced9e94aa         7.00   \n",
       "2443904aef281c6a4cdff93a466908084cfa403d        14.00   \n",
       "740f28a60dc9f4c080b5f2495e839a579134b05f         8.00   \n",
       "882f5d32bf5d563b1b4804a5b5054e7bf38fd49e         9.00   \n",
       "eab0bd7eddf6530830d0739c2b95df91c04311af         8.00   \n",
       "fb1e8caeac265f01e6f14acd89b5caa950fad9db         8.00   \n",
       "786ccbf412c44c9929f14d99f69b26c08b41c7c4         6.00   \n",
       "...                                               ...   \n",
       "f4e1249cdcc101d0aa1d61fdcad594b5ffaedd7a         0.00   \n",
       "1f0aec88f260aee14d77dc39b8e2db114d5e53f1         0.00   \n",
       "5848ab7e4866902978ed29f58a718ebe38fe533b         0.00   \n",
       "56fc6dab69d6747825f30071b3d55405bd7bc76a         0.00   \n",
       "5a93a40fee0828de942d2ed87e6498fb5539e771         0.00   \n",
       "fd9f75db2dd6cf003a4d3710f78c96a183c900af         0.00   \n",
       "3af22a8a9f33acd7d3563e43053bab8d724d5996         0.00   \n",
       "f0c3ae6a6bd50e9ad6b4cc46f1783efd157bd243         0.00   \n",
       "fc50cf94337627a443e18ff0a668562b265cce5b         0.00   \n",
       "c32fd52c8d2e02aba70271c4492b975099262983         0.00   \n",
       "c9304216196c1409380a7c249333cb66955928d1         0.00   \n",
       "4eb3c48a8a54ccdc973efb7c2782a9f07d7329ab         0.00   \n",
       "8541d646246355defc696897573ce52e5c2f1b87         0.00   \n",
       "5c377078cea6e6bdba3be1bba123e19d0d15bd79         0.00   \n",
       "c6616c46ae04437d27a12cfbf64ebebb3d89be33         0.00   \n",
       "997b3e829e98b6ef68e0072e17477310b9095fae         0.00   \n",
       "8061f2b3380e8915d26970a1124b761fe9c0add7         0.00   \n",
       "5b0911c3e20f654862c8519206cfcdb33c76290f         0.00   \n",
       "2c4c90d724d8fc6817ebc18815d13fdc5cf4b908         0.00   \n",
       "c75e906a52a20db93508391aefd3860f18d1eb5c         0.00   \n",
       "76df4362a0be5fbb7bfc02168d7f391aa194912d         0.00   \n",
       "9405dd882af60d34ebdeabb88e1e5a3fd5eb6403         0.00   \n",
       "7c66cddb70a24a69f9c687a5409bd9b41e413c27         0.00   \n",
       "a6c0dde1c0e8750d03e600bf6fc0b7dd0667536b         0.00   \n",
       "365c6f16c05b07ec35b5fc2afdf8a21ac9d9678a         0.00   \n",
       "f253306fa278a178f948b4c13682a248dbc5eef0         0.00   \n",
       "96fffc46028063fc811a83deeac400c0a3f53839         0.00   \n",
       "6132ea1ddd3b6547eb97e272a10df1adbba7bccc         0.00   \n",
       "fe1be446d676c9d8ff35367b6302f4f670f3813b         0.00   \n",
       "7dfb319c50b823a7a353edbb239d34cdaa5d8378         0.00   \n",
       "\n",
       "                                         facebook_promotion_score  \\\n",
       "id                                                                  \n",
       "73ea9633c21733c5931c0c9c18b066285cb1bf39                    15.00   \n",
       "0844561b92420804aad85219a5552042ce4d265c                    15.00   \n",
       "d89e12f04f8c41a417503f4ddd8738eb9e3a4fbe                    15.00   \n",
       "e517b876ffba73e2f5ffd10ba0f8f429906d29f5                    11.00   \n",
       "fc4d4c9056d6150a5d077277d6cbbad6d94cd9eb                    15.00   \n",
       "eb5cf786e76b63b71b65ee2d768bc6b852cd09f5                    15.00   \n",
       "f4068619cf024977dd22e0f55df457e8a5e1e81a                    15.00   \n",
       "ae93aeb0b54e4226e91f871104402b5d593c017a                    15.00   \n",
       "bac634126d3948d4a630e9ed45fc43daf5e47512                    15.00   \n",
       "7f547d36c1b7a45ce5561d1f1bb893ad6b1a4b16                    15.00   \n",
       "1d314f93ee2e693abc8db7f0c5c0b5bc88e1b189                    15.00   \n",
       "3e124661440aaee9ff2f5abd6580c96de9c409cd                    15.00   \n",
       "25571e148ab673e2bee73a203ccbc469ad2c2fcb                    15.00   \n",
       "4e4483f28e1fb45e7cd2efd68013d8713e093689                    15.00   \n",
       "eddf6f1f068d000d109a9f590f254b217f9231ec                    15.00   \n",
       "8936b3dfe6df7390975e0b3613010b294dea585f                    15.00   \n",
       "9bcec31a0af3473e657194f655644e361f4c6112                    15.00   \n",
       "56d4fd37d920ed660cbad59ea6783a1ac316d3f1                    15.00   \n",
       "c60580cced4a93dea0f1501fb8fc11b9568d8d09                    15.00   \n",
       "ea8c249c77726779692648c4b61e6f17e2c20ef1                    15.00   \n",
       "fe697d4d58f41d6e1de381fbfd12e8df7afd83f8                    11.00   \n",
       "7be688e97f64c952e8183855c713ded615bb9aa0                    11.00   \n",
       "918dd1da248df1e030da129727d26ff87d2c476d                    15.00   \n",
       "3f232a19515eafff49d19aa97622c92ced9e94aa                    15.00   \n",
       "2443904aef281c6a4cdff93a466908084cfa403d                    11.00   \n",
       "740f28a60dc9f4c080b5f2495e839a579134b05f                    15.00   \n",
       "882f5d32bf5d563b1b4804a5b5054e7bf38fd49e                    13.00   \n",
       "eab0bd7eddf6530830d0739c2b95df91c04311af                    15.00   \n",
       "fb1e8caeac265f01e6f14acd89b5caa950fad9db                    15.00   \n",
       "786ccbf412c44c9929f14d99f69b26c08b41c7c4                    15.00   \n",
       "...                                                           ...   \n",
       "f4e1249cdcc101d0aa1d61fdcad594b5ffaedd7a                     0.00   \n",
       "1f0aec88f260aee14d77dc39b8e2db114d5e53f1                     0.00   \n",
       "5848ab7e4866902978ed29f58a718ebe38fe533b                     0.00   \n",
       "56fc6dab69d6747825f30071b3d55405bd7bc76a                     0.00   \n",
       "5a93a40fee0828de942d2ed87e6498fb5539e771                     0.00   \n",
       "fd9f75db2dd6cf003a4d3710f78c96a183c900af                     0.00   \n",
       "3af22a8a9f33acd7d3563e43053bab8d724d5996                     0.00   \n",
       "f0c3ae6a6bd50e9ad6b4cc46f1783efd157bd243                     0.00   \n",
       "fc50cf94337627a443e18ff0a668562b265cce5b                     0.00   \n",
       "c32fd52c8d2e02aba70271c4492b975099262983                     0.00   \n",
       "c9304216196c1409380a7c249333cb66955928d1                     0.00   \n",
       "4eb3c48a8a54ccdc973efb7c2782a9f07d7329ab                     0.00   \n",
       "8541d646246355defc696897573ce52e5c2f1b87                     0.00   \n",
       "5c377078cea6e6bdba3be1bba123e19d0d15bd79                     0.00   \n",
       "c6616c46ae04437d27a12cfbf64ebebb3d89be33                     0.00   \n",
       "997b3e829e98b6ef68e0072e17477310b9095fae                     0.00   \n",
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       "\n",
       "                                          promotion_score  attention_index  \n",
       "id                                                                          \n",
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       "\n",
       "[155376 rows x 26 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>12.00</td>\n",
       "      <td>11.00</td>\n",
       "      <td>42.00</td>\n",
       "      <td>43.00</td>\n",
       "      <td>41.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3490bec24e123c369936928039cb08188e505c1b</th>\n",
       "      <td>https://www.buzzfeed.com/danvergano/chronic-pa...</td>\n",
       "      <td>He Took Opioids To Manage His Chronic Pain. Wh...</td>\n",
       "      <td>2017-11-30 16:54:26.538</td>\n",
       "      <td>2017-11-27 22:52:18.000</td>\n",
       "      <td>21</td>\n",
       "      <td>0.09</td>\n",
       "      <td>2017-11-30T17:06:09.056Z</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>18</td>\n",
       "      <td>...</td>\n",
       "      <td>2017-12-03T14:44:00.000Z</td>\n",
       "      <td>147</td>\n",
       "      <td>2844.00</td>\n",
       "      <td>4.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>14.00</td>\n",
       "      <td>11.00</td>\n",
       "      <td>44.00</td>\n",
       "      <td>48.00</td>\n",
       "      <td>40.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29347b55be2bdb740e4cc77c14811a90fef18bcf</th>\n",
       "      <td>https://www.huffingtonpost.com/entry/trump-sex...</td>\n",
       "      <td>In Post-Weinstein Era, Trump Sexual Assault Ac...</td>\n",
       "      <td>2017-11-17 15:07:20.628</td>\n",
       "      <td>2017-11-17 14:56:56.877</td>\n",
       "      <td>0</td>\n",
       "      <td>1156.88</td>\n",
       "      <td>2017-11-24T16:46:06.417Z</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>2017-11-17T17:00:24.000Z</td>\n",
       "      <td>215</td>\n",
       "      <td>412.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>17.00</td>\n",
       "      <td>9.00</td>\n",
       "      <td>13.00</td>\n",
       "      <td>39.00</td>\n",
       "      <td>39.00</td>\n",
       "      <td>39.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>60c4cb79498808a6c041b44af17c5a120edcf1d9</th>\n",
       "      <td>https://www.buzzfeed.com/nicolenguyen/amazon-s...</td>\n",
       "      <td>How To Avoid Buying Crap On Amazon</td>\n",
       "      <td>2017-11-21 16:37:18.191</td>\n",
       "      <td>2017-11-20 17:04:57.000</td>\n",
       "      <td>33</td>\n",
       "      <td>0.48</td>\n",
       "      <td>2017-11-21T17:49:13.029Z</td>\n",
       "      <td>2</td>\n",
       "      <td>7</td>\n",
       "      <td>24</td>\n",
       "      <td>...</td>\n",
       "      <td>2017-11-21T18:42:41.000Z</td>\n",
       "      <td>147</td>\n",
       "      <td>1546.00</td>\n",
       "      <td>6.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>14.00</td>\n",
       "      <td>11.00</td>\n",
       "      <td>44.00</td>\n",
       "      <td>50.00</td>\n",
       "      <td>38.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0fd43fe79e1ff67ed2b12bcfc5fdd7d75c82d28b</th>\n",
       "      <td>https://www.buzzfeed.com/nidhisubbaraman/insec...</td>\n",
       "      <td>We’re Headed Toward A Thanksgiving Brimming Wi...</td>\n",
       "      <td>2017-11-23 14:09:20.028</td>\n",
       "      <td>2017-11-22 13:43:54.000</td>\n",
       "      <td>0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>2017-11-23T14:21:08.008Z</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>2017-11-24T01:32:00.000Z</td>\n",
       "      <td>147</td>\n",
       "      <td>813.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>7.00</td>\n",
       "      <td>11.00</td>\n",
       "      <td>37.00</td>\n",
       "      <td>37.00</td>\n",
       "      <td>37.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>281a6307f00daeb13f754eaef9d0487156ed6a1a</th>\n",
       "      <td>https://www.buzzfeed.com/allensalkin/have-your...</td>\n",
       "      <td>Have Yourself A Very Lit Thanksgiving</td>\n",
       "      <td>2017-11-22 18:37:16.501</td>\n",
       "      <td>2017-11-21 22:19:56.000</td>\n",
       "      <td>69</td>\n",
       "      <td>0.62</td>\n",
       "      <td>2017-11-22T19:50:11.243Z</td>\n",
       "      <td>6</td>\n",
       "      <td>55</td>\n",
       "      <td>8</td>\n",
       "      <td>...</td>\n",
       "      <td>2017-11-22T19:22:12.000Z</td>\n",
       "      <td>147</td>\n",
       "      <td>1856.00</td>\n",
       "      <td>8.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>11.00</td>\n",
       "      <td>45.00</td>\n",
       "      <td>53.00</td>\n",
       "      <td>37.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7f69c2b2f31a885208536abb26a93d6798ef2e70</th>\n",
       "      <td>https://www.theguardian.com/world/2017/nov/15/...</td>\n",
       "      <td>Mugabe family in detention after military take...</td>\n",
       "      <td>2017-11-15 10:28:08.000</td>\n",
       "      <td>2017-11-15 10:26:33.000</td>\n",
       "      <td>0</td>\n",
       "      <td>32.43</td>\n",
       "      <td>2017-11-15T12:11:12.027Z</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>2017-11-15T11:00:00.000Z</td>\n",
       "      <td>142</td>\n",
       "      <td>1418.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>4.00</td>\n",
       "      <td>13.00</td>\n",
       "      <td>36.00</td>\n",
       "      <td>36.00</td>\n",
       "      <td>36.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27da2db0438e2a96fd75fbb198e72c9642dad8f5</th>\n",
       "      <td>https://www.buzzfeed.com/lissandravilla/former...</td>\n",
       "      <td>Former Congresswoman Who Oversaw Complaints Ag...</td>\n",
       "      <td>2017-11-28 20:58:15.872</td>\n",
       "      <td>2017-11-28 20:54:08.000</td>\n",
       "      <td>60</td>\n",
       "      <td>0.70</td>\n",
       "      <td>2017-11-28T21:09:09.916Z</td>\n",
       "      <td>5</td>\n",
       "      <td>12</td>\n",
       "      <td>43</td>\n",
       "      <td>...</td>\n",
       "      <td>2017-11-28T21:02:12.000Z</td>\n",
       "      <td>147</td>\n",
       "      <td>782.00</td>\n",
       "      <td>8.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>13.00</td>\n",
       "      <td>11.00</td>\n",
       "      <td>43.00</td>\n",
       "      <td>51.00</td>\n",
       "      <td>35.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6901f2ad5c91f1eed99b0c2da1a7e2a50070f138</th>\n",
       "      <td>https://www.buzzfeed.com/laurendecicca/these-d...</td>\n",
       "      <td>These Deported Mothers Are Being Forced To Wat...</td>\n",
       "      <td>2017-11-24 14:04:21.741</td>\n",
       "      <td>2017-11-22 17:39:23.000</td>\n",
       "      <td>0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>2017-11-24T14:16:11.011Z</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>147</td>\n",
       "      <td>602.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>14.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>33.00</td>\n",
       "      <td>33.00</td>\n",
       "      <td>33.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>a0863d12a71fad8de6714b609a611d44c6ef6925</th>\n",
       "      <td>https://www.buzzfeed.com/borzoudaragahi/papado...</td>\n",
       "      <td>Papadopoulos And Flynn Client Both Tied To Isr...</td>\n",
       "      <td>2017-11-03 18:43:19.766</td>\n",
       "      <td>2017-11-03 16:31:10.000</td>\n",
       "      <td>110</td>\n",
       "      <td>0.43</td>\n",
       "      <td>2017-11-03T19:56:03.804Z</td>\n",
       "      <td>9</td>\n",
       "      <td>57</td>\n",
       "      <td>44</td>\n",
       "      <td>...</td>\n",
       "      <td>2017-11-03T19:14:00.000Z</td>\n",
       "      <td>147</td>\n",
       "      <td>636.00</td>\n",
       "      <td>11.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>14.00</td>\n",
       "      <td>11.00</td>\n",
       "      <td>44.00</td>\n",
       "      <td>55.00</td>\n",
       "      <td>33.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>f21fc06eb19142e842343339aaff297895aeb3ad</th>\n",
       "      <td>https://www.buzzfeed.com/sandirankaduwa/itsamo...</td>\n",
       "      <td>Meghan Markle Is The Future Of A Monarchy With...</td>\n",
       "      <td>2017-11-30 18:54:12.449</td>\n",
       "      <td>2017-11-29 22:41:16.000</td>\n",
       "      <td>128</td>\n",
       "      <td>0.62</td>\n",
       "      <td>2017-11-30T23:09:10.406Z</td>\n",
       "      <td>19</td>\n",
       "      <td>55</td>\n",
       "      <td>54</td>\n",
       "      <td>...</td>\n",
       "      <td>2017-12-01T01:24:00.000Z</td>\n",
       "      <td>147</td>\n",
       "      <td>2561.00</td>\n",
       "      <td>11.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>14.00</td>\n",
       "      <td>11.00</td>\n",
       "      <td>44.00</td>\n",
       "      <td>55.00</td>\n",
       "      <td>33.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5291b060730148ba1031d21f8802481a198b97c2</th>\n",
       "      <td>https://www.buzzfeed.com/nidhiprakash/pelosi-w...</td>\n",
       "      <td>Pelosi Won't Say If She'll Ask Conyers To Step...</td>\n",
       "      <td>2017-11-26 15:46:19.929</td>\n",
       "      <td>2017-11-26 15:35:42.000</td>\n",
       "      <td>109</td>\n",
       "      <td>0.64</td>\n",
       "      <td>2017-11-26T19:01:06.024Z</td>\n",
       "      <td>11</td>\n",
       "      <td>61</td>\n",
       "      <td>37</td>\n",
       "      <td>...</td>\n",
       "      <td>2017-11-26T18:10:37.000Z</td>\n",
       "      <td>147</td>\n",
       "      <td>404.00</td>\n",
       "      <td>11.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>14.00</td>\n",
       "      <td>11.00</td>\n",
       "      <td>44.00</td>\n",
       "      <td>55.00</td>\n",
       "      <td>33.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>795037b8fd7078d17f6daa14e7aa401914a3fc70</th>\n",
       "      <td>https://www.buzzfeed.com/tomiobaro/greta-gerwi...</td>\n",
       "      <td>Complicated Teen Girls Are Finally Front And C...</td>\n",
       "      <td>2017-11-11 17:49:12.479</td>\n",
       "      <td>2017-11-11 00:33:05.000</td>\n",
       "      <td>66</td>\n",
       "      <td>0.40</td>\n",
       "      <td>2017-11-11T18:00:10.036Z</td>\n",
       "      <td>11</td>\n",
       "      <td>43</td>\n",
       "      <td>12</td>\n",
       "      <td>...</td>\n",
       "      <td>2017-11-12T22:04:00.000Z</td>\n",
       "      <td>147</td>\n",
       "      <td>1964.00</td>\n",
       "      <td>8.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>11.00</td>\n",
       "      <td>11.00</td>\n",
       "      <td>41.00</td>\n",
       "      <td>49.00</td>\n",
       "      <td>33.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>009db07e4f0df962b373de327ba80d4e70563ca0</th>\n",
       "      <td>https://www.buzzfeed.com/alexkantrowitz/how-to...</td>\n",
       "      <td>How To Tell If The Thanksgiving Content In You...</td>\n",
       "      <td>2017-11-23 17:31:19.975</td>\n",
       "      <td>2017-11-22 19:09:25.000</td>\n",
       "      <td>67</td>\n",
       "      <td>0.70</td>\n",
       "      <td>2017-11-23T19:45:12.565Z</td>\n",
       "      <td>1</td>\n",
       "      <td>43</td>\n",
       "      <td>23</td>\n",
       "      <td>...</td>\n",
       "      <td>2017-11-23T18:30:01.000Z</td>\n",
       "      <td>147</td>\n",
       "      <td>832.00</td>\n",
       "      <td>8.00</td>\n",
       "      <td>19.00</td>\n",
       "      <td>10.00</td>\n",
       "      <td>11.00</td>\n",
       "      <td>40.00</td>\n",
       "      <td>48.00</td>\n",
       "      <td>32.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>d2abaf54b688b990a34f79e83b6773bd7ef15bcb</th>\n",
       "      <td>http://www.dailymail.co.uk/news/article-511482...</td>\n",
       "      <td>Hundreds evacuated from Oxford Circus</td>\n",
       "      <td>2017-11-24 16:58:25.583</td>\n",
       "      <td>2017-11-24 16:56:02.000</td>\n",
       "      <td>2</td>\n",
       "      <td>209.58</td>\n",
       "      <td>2017-11-24T17:42:09.102Z</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>...</td>\n",
       "      <td>2017-11-24T16:57:51.000Z</td>\n",
       "      <td>158</td>\n",
       "      <td>16.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>18.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>14.00</td>\n",
       "      <td>33.00</td>\n",
       "      <td>34.00</td>\n",
       "      <td>32.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>948a86924f6b6cdc8e649b980130dcfbe3320f81</th>\n",
       "      <td>https://www.buzzfeed.com/tamerragriffin/zimbab...</td>\n",
       "      <td>Zimbabwe’s Ruling Party Have Voted To Sack Rob...</td>\n",
       "      <td>2017-11-19 12:31:23.195</td>\n",
       "      <td>2017-11-19 12:25:11.000</td>\n",
       "      <td>188</td>\n",
       "      <td>0.67</td>\n",
       "      <td>2017-11-19T15:44:16.396Z</td>\n",
       "      <td>7</td>\n",
       "      <td>124</td>\n",
       "      <td>57</td>\n",
       "      <td>...</td>\n",
       "      <td>2017-11-19T14:52:00.000Z</td>\n",
       "      <td>147</td>\n",
       "      <td>116.00</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",
       "      <td>57.00</td>\n",
       "      <td>31.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4549ccb32d5e26888b5503af566de4bc1ae610da</th>\n",
       "      <td>https://www.npr.org/2017/11/26/566006195/6-pos...</td>\n",
       "      <td>6 Possible Hurdles For The GOP Tax Plan</td>\n",
       "      <td>2017-11-26 11:31:23.184</td>\n",
       "      <td>2017-11-26 11:01:00.000</td>\n",
       "      <td>0</td>\n",
       "      <td>1130.43</td>\n",
       "      <td>2017-11-27T07:22:09.101Z</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>...</td>\n",
       "      <td>2017-11-26T13:55:00.000Z</td>\n",
       "      <td>594</td>\n",
       "      <td>853.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>15.00</td>\n",
       "      <td>3.00</td>\n",
       "      <td>12.00</td>\n",
       "      <td>30.00</td>\n",
       "      <td>30.00</td>\n",
       "      <td>30.00</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>25 rows × 27 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                                                                                        url  \\\n",
       "id                                                                                            \n",
       "8fecd816fc621ac4816c2a7aae0d71d3b97e2489  https://www.buzzfeed.com/keelyflaherty/meet-th...   \n",
       "c4c68e90d29b9da58609f78ce13692d2bae1ab88  https://www.buzzfeed.com/borzoudaragahi/afghan...   \n",
       "fcf67d8979ac5c70155e54a80b87b875f6768244  https://www.buzzfeed.com/danvergano/beam-me-up...   \n",
       "b38c9b0fc469585120c9f6b904463e406916a695  https://www.buzzfeed.com/adolfoflores/these-ce...   \n",
       "b3466fdbf642535131f7ef5beaaf63a868a607f6  https://www.buzzfeed.com/mollyhensleyclancy/wh...   \n",
       "7aaf046bf5bbc5ef14e91b7be017c6b1989439c3  https://www.buzzfeed.com/sylviaobell/nola-darling   \n",
       "ffd6202df243fe5f684c605e023e977a07fafc50  https://www.buzzfeed.com/doree/meet-the-people...   \n",
       "1e74e5aa86a20450f01357ff3222b67c6c248e58  https://www.buzzfeed.com/tomphillips/we-found-...   \n",
       "c4b00967f43439a68074164f3e522875295d49e8  https://www.buzzfeed.com/charliewarzel/youtube...   \n",
       "3490bec24e123c369936928039cb08188e505c1b  https://www.buzzfeed.com/danvergano/chronic-pa...   \n",
       "29347b55be2bdb740e4cc77c14811a90fef18bcf  https://www.huffingtonpost.com/entry/trump-sex...   \n",
       "60c4cb79498808a6c041b44af17c5a120edcf1d9  https://www.buzzfeed.com/nicolenguyen/amazon-s...   \n",
       "0fd43fe79e1ff67ed2b12bcfc5fdd7d75c82d28b  https://www.buzzfeed.com/nidhisubbaraman/insec...   \n",
       "281a6307f00daeb13f754eaef9d0487156ed6a1a  https://www.buzzfeed.com/allensalkin/have-your...   \n",
       "7f69c2b2f31a885208536abb26a93d6798ef2e70  https://www.theguardian.com/world/2017/nov/15/...   \n",
       "27da2db0438e2a96fd75fbb198e72c9642dad8f5  https://www.buzzfeed.com/lissandravilla/former...   \n",
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       "5291b060730148ba1031d21f8802481a198b97c2  https://www.buzzfeed.com/nidhiprakash/pelosi-w...   \n",
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       "009db07e4f0df962b373de327ba80d4e70563ca0  https://www.buzzfeed.com/alexkantrowitz/how-to...   \n",
       "d2abaf54b688b990a34f79e83b6773bd7ef15bcb  http://www.dailymail.co.uk/news/article-511482...   \n",
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       "\n",
       "                                                                                   headline  \\\n",
       "id                                                                                            \n",
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       "60c4cb79498808a6c041b44af17c5a120edcf1d9                 How To Avoid Buying Crap On Amazon   \n",
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       "\n",
       "                                                      discovered  \\\n",
       "id                                                                 \n",
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       "\n",
       "                                                       published  \\\n",
       "id                                                                 \n",
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       "4549ccb32d5e26888b5503af566de4bc1ae610da 2017-11-26 11:01:00.000   \n",
       "\n",
       "                                          fb_engagements  \\\n",
       "id                                                         \n",
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       "\n",
       "                                          fb_max_engagements_per_min  \\\n",
       "id                                                                     \n",
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       "4549ccb32d5e26888b5503af566de4bc1ae610da                     1130.43   \n",
       "\n",
       "                                         fb_max_engagements_per_min_time  \\\n",
       "id                                                                         \n",
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       "\n",
       "                                          fb_comments  fb_reactions  \\\n",
       "id                                                                    \n",
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       "b3466fdbf642535131f7ef5beaaf63a868a607f6          0     ...       \n",
       "7aaf046bf5bbc5ef14e91b7be017c6b1989439c3          3     ...       \n",
       "ffd6202df243fe5f684c605e023e977a07fafc50          0     ...       \n",
       "1e74e5aa86a20450f01357ff3222b67c6c248e58          5     ...       \n",
       "c4b00967f43439a68074164f3e522875295d49e8          2     ...       \n",
       "3490bec24e123c369936928039cb08188e505c1b         18     ...       \n",
       "29347b55be2bdb740e4cc77c14811a90fef18bcf          0     ...       \n",
       "60c4cb79498808a6c041b44af17c5a120edcf1d9         24     ...       \n",
       "0fd43fe79e1ff67ed2b12bcfc5fdd7d75c82d28b          0     ...       \n",
       "281a6307f00daeb13f754eaef9d0487156ed6a1a          8     ...       \n",
       "7f69c2b2f31a885208536abb26a93d6798ef2e70          0     ...       \n",
       "27da2db0438e2a96fd75fbb198e72c9642dad8f5         43     ...       \n",
       "6901f2ad5c91f1eed99b0c2da1a7e2a50070f138          0     ...       \n",
       "a0863d12a71fad8de6714b609a611d44c6ef6925         44     ...       \n",
       "f21fc06eb19142e842343339aaff297895aeb3ad         54     ...       \n",
       "5291b060730148ba1031d21f8802481a198b97c2         37     ...       \n",
       "795037b8fd7078d17f6daa14e7aa401914a3fc70         12     ...       \n",
       "009db07e4f0df962b373de327ba80d4e70563ca0         23     ...       \n",
       "d2abaf54b688b990a34f79e83b6773bd7ef15bcb          2     ...       \n",
       "948a86924f6b6cdc8e649b980130dcfbe3320f81         57     ...       \n",
       "4549ccb32d5e26888b5503af566de4bc1ae610da          0     ...       \n",
       "\n",
       "                                                fb_brand_page_time alexa_rank  \\\n",
       "id                                                                              \n",
       "8fecd816fc621ac4816c2a7aae0d71d3b97e2489  2017-11-24T05:32:00.000Z        147   \n",
       "c4c68e90d29b9da58609f78ce13692d2bae1ab88  2017-11-26T19:05:00.000Z        147   \n",
       "fcf67d8979ac5c70155e54a80b87b875f6768244  2017-11-26T00:33:01.000Z        147   \n",
       "b38c9b0fc469585120c9f6b904463e406916a695  2017-11-18T04:45:00.000Z        147   \n",
       "b3466fdbf642535131f7ef5beaaf63a868a607f6  2017-12-02T00:44:01.000Z        147   \n",
       "7aaf046bf5bbc5ef14e91b7be017c6b1989439c3  2017-11-28T05:10:00.000Z        147   \n",
       "ffd6202df243fe5f684c605e023e977a07fafc50  2017-11-13T07:04:00.000Z        147   \n",
       "1e74e5aa86a20450f01357ff3222b67c6c248e58  2017-11-24T09:48:09.000Z        147   \n",
       "c4b00967f43439a68074164f3e522875295d49e8  2017-12-01T03:24:00.000Z        147   \n",
       "3490bec24e123c369936928039cb08188e505c1b  2017-12-03T14:44:00.000Z        147   \n",
       "29347b55be2bdb740e4cc77c14811a90fef18bcf  2017-11-17T17:00:24.000Z        215   \n",
       "60c4cb79498808a6c041b44af17c5a120edcf1d9  2017-11-21T18:42:41.000Z        147   \n",
       "0fd43fe79e1ff67ed2b12bcfc5fdd7d75c82d28b  2017-11-24T01:32:00.000Z        147   \n",
       "281a6307f00daeb13f754eaef9d0487156ed6a1a  2017-11-22T19:22:12.000Z        147   \n",
       "7f69c2b2f31a885208536abb26a93d6798ef2e70  2017-11-15T11:00:00.000Z        142   \n",
       "27da2db0438e2a96fd75fbb198e72c9642dad8f5  2017-11-28T21:02:12.000Z        147   \n",
       "6901f2ad5c91f1eed99b0c2da1a7e2a50070f138                       NaN        147   \n",
       "a0863d12a71fad8de6714b609a611d44c6ef6925  2017-11-03T19:14:00.000Z        147   \n",
       "f21fc06eb19142e842343339aaff297895aeb3ad  2017-12-01T01:24:00.000Z        147   \n",
       "5291b060730148ba1031d21f8802481a198b97c2  2017-11-26T18:10:37.000Z        147   \n",
       "795037b8fd7078d17f6daa14e7aa401914a3fc70  2017-11-12T22:04:00.000Z        147   \n",
       "009db07e4f0df962b373de327ba80d4e70563ca0  2017-11-23T18:30:01.000Z        147   \n",
       "d2abaf54b688b990a34f79e83b6773bd7ef15bcb  2017-11-24T16:57:51.000Z        158   \n",
       "948a86924f6b6cdc8e649b980130dcfbe3320f81  2017-11-19T14:52:00.000Z        147   \n",
       "4549ccb32d5e26888b5503af566de4bc1ae610da  2017-11-26T13:55:00.000Z        594   \n",
       "\n",
       "                                          word_count  response_score  \\\n",
       "id                                                                     \n",
       "8fecd816fc621ac4816c2a7aae0d71d3b97e2489     1258.00            0.00   \n",
       "c4c68e90d29b9da58609f78ce13692d2bae1ab88      996.00            0.00   \n",
       "fcf67d8979ac5c70155e54a80b87b875f6768244      820.00            0.00   \n",
       "b38c9b0fc469585120c9f6b904463e406916a695     2728.00            0.00   \n",
       "b3466fdbf642535131f7ef5beaaf63a868a607f6     5706.00            0.00   \n",
       "7aaf046bf5bbc5ef14e91b7be017c6b1989439c3     2489.00            1.00   \n",
       "ffd6202df243fe5f684c605e023e977a07fafc50     1958.00            0.00   \n",
       "1e74e5aa86a20450f01357ff3222b67c6c248e58     1781.00            2.00   \n",
       "c4b00967f43439a68074164f3e522875295d49e8      686.00            1.00   \n",
       "3490bec24e123c369936928039cb08188e505c1b     2844.00            4.00   \n",
       "29347b55be2bdb740e4cc77c14811a90fef18bcf      412.00            0.00   \n",
       "60c4cb79498808a6c041b44af17c5a120edcf1d9     1546.00            6.00   \n",
       "0fd43fe79e1ff67ed2b12bcfc5fdd7d75c82d28b      813.00            0.00   \n",
       "281a6307f00daeb13f754eaef9d0487156ed6a1a     1856.00            8.00   \n",
       "7f69c2b2f31a885208536abb26a93d6798ef2e70     1418.00            0.00   \n",
       "27da2db0438e2a96fd75fbb198e72c9642dad8f5      782.00            8.00   \n",
       "6901f2ad5c91f1eed99b0c2da1a7e2a50070f138      602.00            0.00   \n",
       "a0863d12a71fad8de6714b609a611d44c6ef6925      636.00           11.00   \n",
       "f21fc06eb19142e842343339aaff297895aeb3ad     2561.00           11.00   \n",
       "5291b060730148ba1031d21f8802481a198b97c2      404.00           11.00   \n",
       "795037b8fd7078d17f6daa14e7aa401914a3fc70     1964.00            8.00   \n",
       "009db07e4f0df962b373de327ba80d4e70563ca0      832.00            8.00   \n",
       "d2abaf54b688b990a34f79e83b6773bd7ef15bcb       16.00            1.00   \n",
       "948a86924f6b6cdc8e649b980130dcfbe3320f81      116.00           13.00   \n",
       "4549ccb32d5e26888b5503af566de4bc1ae610da      853.00            0.00   \n",
       "\n",
       "                                          lead_score  front_score  \\\n",
       "id                                                                  \n",
       "8fecd816fc621ac4816c2a7aae0d71d3b97e2489       19.00        15.00   \n",
       "c4c68e90d29b9da58609f78ce13692d2bae1ab88       19.00        14.00   \n",
       "fcf67d8979ac5c70155e54a80b87b875f6768244       19.00        14.00   \n",
       "b38c9b0fc469585120c9f6b904463e406916a695       19.00        14.00   \n",
       "b3466fdbf642535131f7ef5beaaf63a868a607f6       19.00        13.00   \n",
       "7aaf046bf5bbc5ef14e91b7be017c6b1989439c3       19.00        14.00   \n",
       "ffd6202df243fe5f684c605e023e977a07fafc50       19.00        12.00   \n",
       "1e74e5aa86a20450f01357ff3222b67c6c248e58       19.00        14.00   \n",
       "c4b00967f43439a68074164f3e522875295d49e8       19.00        12.00   \n",
       "3490bec24e123c369936928039cb08188e505c1b       19.00        14.00   \n",
       "29347b55be2bdb740e4cc77c14811a90fef18bcf       17.00         9.00   \n",
       "60c4cb79498808a6c041b44af17c5a120edcf1d9       19.00        14.00   \n",
       "0fd43fe79e1ff67ed2b12bcfc5fdd7d75c82d28b       19.00         7.00   \n",
       "281a6307f00daeb13f754eaef9d0487156ed6a1a       19.00        15.00   \n",
       "7f69c2b2f31a885208536abb26a93d6798ef2e70       19.00         4.00   \n",
       "27da2db0438e2a96fd75fbb198e72c9642dad8f5       19.00        13.00   \n",
       "6901f2ad5c91f1eed99b0c2da1a7e2a50070f138       19.00        14.00   \n",
       "a0863d12a71fad8de6714b609a611d44c6ef6925       19.00        14.00   \n",
       "f21fc06eb19142e842343339aaff297895aeb3ad       19.00        14.00   \n",
       "5291b060730148ba1031d21f8802481a198b97c2       19.00        14.00   \n",
       "795037b8fd7078d17f6daa14e7aa401914a3fc70       19.00        11.00   \n",
       "009db07e4f0df962b373de327ba80d4e70563ca0       19.00        10.00   \n",
       "d2abaf54b688b990a34f79e83b6773bd7ef15bcb       18.00         1.00   \n",
       "948a86924f6b6cdc8e649b980130dcfbe3320f81       19.00        14.00   \n",
       "4549ccb32d5e26888b5503af566de4bc1ae610da       15.00         3.00   \n",
       "\n",
       "                                          facebook_promotion_score  \\\n",
       "id                                                                   \n",
       "8fecd816fc621ac4816c2a7aae0d71d3b97e2489                     11.00   \n",
       "c4c68e90d29b9da58609f78ce13692d2bae1ab88                     11.00   \n",
       "fcf67d8979ac5c70155e54a80b87b875f6768244                     11.00   \n",
       "b38c9b0fc469585120c9f6b904463e406916a695                     11.00   \n",
       "b3466fdbf642535131f7ef5beaaf63a868a607f6                     11.00   \n",
       "7aaf046bf5bbc5ef14e91b7be017c6b1989439c3                     11.00   \n",
       "ffd6202df243fe5f684c605e023e977a07fafc50                     11.00   \n",
       "1e74e5aa86a20450f01357ff3222b67c6c248e58                     11.00   \n",
       "c4b00967f43439a68074164f3e522875295d49e8                     11.00   \n",
       "3490bec24e123c369936928039cb08188e505c1b                     11.00   \n",
       "29347b55be2bdb740e4cc77c14811a90fef18bcf                     13.00   \n",
       "60c4cb79498808a6c041b44af17c5a120edcf1d9                     11.00   \n",
       "0fd43fe79e1ff67ed2b12bcfc5fdd7d75c82d28b                     11.00   \n",
       "281a6307f00daeb13f754eaef9d0487156ed6a1a                     11.00   \n",
       "7f69c2b2f31a885208536abb26a93d6798ef2e70                     13.00   \n",
       "27da2db0438e2a96fd75fbb198e72c9642dad8f5                     11.00   \n",
       "6901f2ad5c91f1eed99b0c2da1a7e2a50070f138                      0.00   \n",
       "a0863d12a71fad8de6714b609a611d44c6ef6925                     11.00   \n",
       "f21fc06eb19142e842343339aaff297895aeb3ad                     11.00   \n",
       "5291b060730148ba1031d21f8802481a198b97c2                     11.00   \n",
       "795037b8fd7078d17f6daa14e7aa401914a3fc70                     11.00   \n",
       "009db07e4f0df962b373de327ba80d4e70563ca0                     11.00   \n",
       "d2abaf54b688b990a34f79e83b6773bd7ef15bcb                     14.00   \n",
       "948a86924f6b6cdc8e649b980130dcfbe3320f81                     11.00   \n",
       "4549ccb32d5e26888b5503af566de4bc1ae610da                     12.00   \n",
       "\n",
       "                                         promotion_score  attention_index  \\\n",
       "id                                                                          \n",
       "8fecd816fc621ac4816c2a7aae0d71d3b97e2489           45.00            45.00   \n",
       "c4c68e90d29b9da58609f78ce13692d2bae1ab88           44.00            44.00   \n",
       "fcf67d8979ac5c70155e54a80b87b875f6768244           44.00            44.00   \n",
       "b38c9b0fc469585120c9f6b904463e406916a695           44.00            44.00   \n",
       "b3466fdbf642535131f7ef5beaaf63a868a607f6           43.00            43.00   \n",
       "7aaf046bf5bbc5ef14e91b7be017c6b1989439c3           44.00            45.00   \n",
       "ffd6202df243fe5f684c605e023e977a07fafc50           42.00            42.00   \n",
       "1e74e5aa86a20450f01357ff3222b67c6c248e58           44.00            46.00   \n",
       "c4b00967f43439a68074164f3e522875295d49e8           42.00            43.00   \n",
       "3490bec24e123c369936928039cb08188e505c1b           44.00            48.00   \n",
       "29347b55be2bdb740e4cc77c14811a90fef18bcf           39.00            39.00   \n",
       "60c4cb79498808a6c041b44af17c5a120edcf1d9           44.00            50.00   \n",
       "0fd43fe79e1ff67ed2b12bcfc5fdd7d75c82d28b           37.00            37.00   \n",
       "281a6307f00daeb13f754eaef9d0487156ed6a1a           45.00            53.00   \n",
       "7f69c2b2f31a885208536abb26a93d6798ef2e70           36.00            36.00   \n",
       "27da2db0438e2a96fd75fbb198e72c9642dad8f5           43.00            51.00   \n",
       "6901f2ad5c91f1eed99b0c2da1a7e2a50070f138           33.00            33.00   \n",
       "a0863d12a71fad8de6714b609a611d44c6ef6925           44.00            55.00   \n",
       "f21fc06eb19142e842343339aaff297895aeb3ad           44.00            55.00   \n",
       "5291b060730148ba1031d21f8802481a198b97c2           44.00            55.00   \n",
       "795037b8fd7078d17f6daa14e7aa401914a3fc70           41.00            49.00   \n",
       "009db07e4f0df962b373de327ba80d4e70563ca0           40.00            48.00   \n",
       "d2abaf54b688b990a34f79e83b6773bd7ef15bcb           33.00            34.00   \n",
       "948a86924f6b6cdc8e649b980130dcfbe3320f81           44.00            57.00   \n",
       "4549ccb32d5e26888b5503af566de4bc1ae610da           30.00            30.00   \n",
       "\n",
       "                                          score_diff  \n",
       "id                                                    \n",
       "8fecd816fc621ac4816c2a7aae0d71d3b97e2489       45.00  \n",
       "c4c68e90d29b9da58609f78ce13692d2bae1ab88       44.00  \n",
       "fcf67d8979ac5c70155e54a80b87b875f6768244       44.00  \n",
       "b38c9b0fc469585120c9f6b904463e406916a695       44.00  \n",
       "b3466fdbf642535131f7ef5beaaf63a868a607f6       43.00  \n",
       "7aaf046bf5bbc5ef14e91b7be017c6b1989439c3       43.00  \n",
       "ffd6202df243fe5f684c605e023e977a07fafc50       42.00  \n",
       "1e74e5aa86a20450f01357ff3222b67c6c248e58       42.00  \n",
       "c4b00967f43439a68074164f3e522875295d49e8       41.00  \n",
       "3490bec24e123c369936928039cb08188e505c1b       40.00  \n",
       "29347b55be2bdb740e4cc77c14811a90fef18bcf       39.00  \n",
       "60c4cb79498808a6c041b44af17c5a120edcf1d9       38.00  \n",
       "0fd43fe79e1ff67ed2b12bcfc5fdd7d75c82d28b       37.00  \n",
       "281a6307f00daeb13f754eaef9d0487156ed6a1a       37.00  \n",
       "7f69c2b2f31a885208536abb26a93d6798ef2e70       36.00  \n",
       "27da2db0438e2a96fd75fbb198e72c9642dad8f5       35.00  \n",
       "6901f2ad5c91f1eed99b0c2da1a7e2a50070f138       33.00  \n",
       "a0863d12a71fad8de6714b609a611d44c6ef6925       33.00  \n",
       "f21fc06eb19142e842343339aaff297895aeb3ad       33.00  \n",
       "5291b060730148ba1031d21f8802481a198b97c2       33.00  \n",
       "795037b8fd7078d17f6daa14e7aa401914a3fc70       33.00  \n",
       "009db07e4f0df962b373de327ba80d4e70563ca0       32.00  \n",
       "d2abaf54b688b990a34f79e83b6773bd7ef15bcb       32.00  \n",
       "948a86924f6b6cdc8e649b980130dcfbe3320f81       31.00  \n",
       "4549ccb32d5e26888b5503af566de4bc1ae610da       30.00  \n",
       "\n",
       "[25 rows x 27 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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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>url</th>\n",
       "      <th>headline</th>\n",
       "      <th>discovered</th>\n",
       "      <th>published</th>\n",
       "      <th>fb_engagements</th>\n",
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       "      <th>fb_shares</th>\n",
       "      <th>...</th>\n",
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       "      <th>alexa_rank</th>\n",
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       "      <th>response_score</th>\n",
       "      <th>lead_score</th>\n",
       "      <th>front_score</th>\n",
       "      <th>facebook_promotion_score</th>\n",
       "      <th>promotion_score</th>\n",
       "      <th>attention_index</th>\n",
       "      <th>score_diff</th>\n",
       "    </tr>\n",
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       "      <th>id</th>\n",
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       "  <tbody>\n",
       "    <tr>\n",
       "      <th>42028ce3b987d9ec95e01274b992204bf27fdb1a</th>\n",
       "      <td>https://www.huffingtonpost.com/entry/exposing-...</td>\n",
       "      <td>Exposing America's Biggest Hypocrites: Evangel...</td>\n",
       "      <td>2017-11-24 17:31:31.338</td>\n",
       "      <td>2017-11-24 17:27:39.012</td>\n",
       "      <td>86827</td>\n",
       "      <td>79.97</td>\n",
       "      <td>2017-11-25T17:20:19.095Z</td>\n",
       "      <td>18763</td>\n",
       "      <td>56521</td>\n",
       "      <td>11543</td>\n",
       "      <td>...</td>\n",
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       "      <td>215</td>\n",
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       "      <td>0.00</td>\n",
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       "      <td>-50.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0d1704ce4fcd2856a1357d444ab6ddd4610db8f8</th>\n",
       "      <td>https://www.huffingtonpost.com/entry/since-you...</td>\n",
       "      <td>Since you asked, Roy Moore, here is why victim...</td>\n",
       "      <td>2017-11-11 18:01:19.973</td>\n",
       "      <td>2017-11-11 17:49:19.798</td>\n",
       "      <td>85116</td>\n",
       "      <td>21.63</td>\n",
       "      <td>2017-11-16T01:28:12.610Z</td>\n",
       "      <td>11355</td>\n",
       "      <td>56808</td>\n",
       "      <td>16953</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>215</td>\n",
       "      <td>1261.00</td>\n",
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       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
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       "    <tr>\n",
       "      <th>93f4b0a5428fd4f228b02b823c4f3922e6130bff</th>\n",
       "      <td>https://www.nytimes.com/2017/11/26/business/me...</td>\n",
       "      <td>Time Inc. Is Said to Near Sale in Deal Backed ...</td>\n",
       "      <td>2017-11-26 21:07:10.424</td>\n",
       "      <td>2017-11-26 21:05:08.000</td>\n",
       "      <td>94430</td>\n",
       "      <td>328.39</td>\n",
       "      <td>2017-11-27T03:06:04.999Z</td>\n",
       "      <td>20502</td>\n",
       "      <td>59091</td>\n",
       "      <td>14837</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>120</td>\n",
       "      <td>680.00</td>\n",
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       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
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       "      <td>-50.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36a95aa544343e37d69586a3f628b6ebe4e04220</th>\n",
       "      <td>https://www.buzzfeed.com/alexandrearagao/manif...</td>\n",
       "      <td>Manifestantes põem fogo em boneca de filósofa ...</td>\n",
       "      <td>2017-11-07 14:46:25.813</td>\n",
       "      <td>2017-11-07 14:35:57.000</td>\n",
       "      <td>80375</td>\n",
       "      <td>206.32</td>\n",
       "      <td>2017-11-07T16:10:08.489Z</td>\n",
       "      <td>11476</td>\n",
       "      <td>63186</td>\n",
       "      <td>5713</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>147</td>\n",
       "      <td>nan</td>\n",
       "      <td>50.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>50.00</td>\n",
       "      <td>-50.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>71e02bf08d789e6191eac1f32dfefd85c6f71a27</th>\n",
       "      <td>http://insider.foxnews.com/2017/11/07/mike-pen...</td>\n",
       "      <td>WATCH: Pence Responds to Attacks on Prayer Aft...</td>\n",
       "      <td>2017-11-08 04:59:07.133</td>\n",
       "      <td>2017-11-07 23:50:00.000</td>\n",
       "      <td>109556</td>\n",
       "      <td>229.75</td>\n",
       "      <td>2017-11-08T12:27:07.534Z</td>\n",
       "      <td>14945</td>\n",
       "      <td>89516</td>\n",
       "      <td>5095</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>285</td>\n",
       "      <td>197.00</td>\n",
       "      <td>50.00</td>\n",
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       "      <td>1.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>51.00</td>\n",
       "      <td>-49.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21e7fb448ff66db53054103e7e866ebd8faafdb6</th>\n",
       "      <td>http://www.foxnews.com/politics/2017/11/03/tru...</td>\n",
       "      <td>Trump embarks on 13-day foreign trip to Asia</td>\n",
       "      <td>2017-11-03 15:34:17.642</td>\n",
       "      <td>2017-11-03 15:21:29.000</td>\n",
       "      <td>80522</td>\n",
       "      <td>162.73</td>\n",
       "      <td>2017-11-03T22:02:04.064Z</td>\n",
       "      <td>9910</td>\n",
       "      <td>68673</td>\n",
       "      <td>1939</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>285</td>\n",
       "      <td>1053.00</td>\n",
       "      <td>50.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>51.00</td>\n",
       "      <td>-49.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>c08460b2595b412be2e6a31d0c42234a67ba7d21</th>\n",
       "      <td>http://www.foxnews.com/entertainment/2017/11/3...</td>\n",
       "      <td>Jim Nabors dead; star best known as Gomer Pyle...</td>\n",
       "      <td>2017-11-30 18:09:13.397</td>\n",
       "      <td>2017-11-30 18:03:53.000</td>\n",
       "      <td>102762</td>\n",
       "      <td>303.00</td>\n",
       "      <td>2017-11-30T20:17:10.889Z</td>\n",
       "      <td>16818</td>\n",
       "      <td>70041</td>\n",
       "      <td>15903</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>285</td>\n",
       "      <td>172.00</td>\n",
       "      <td>50.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>51.00</td>\n",
       "      <td>-49.00</td>\n",
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       "    <tr>\n",
       "      <th>9b07e5f6fc081861f8d0c6d6bb478e6c43d3fba6</th>\n",
       "      <td>http://yournewswire.com/jay-z-jesus-fake-lucifer/</td>\n",
       "      <td>Jay-Z: 'Jesus Is Fake News; Lucifer Is Way Of ...</td>\n",
       "      <td>2017-11-13 17:54:26.080</td>\n",
       "      <td>2017-11-13 17:27:17.000</td>\n",
       "      <td>85940</td>\n",
       "      <td>32.63</td>\n",
       "      <td>2017-11-14T16:17:12.675Z</td>\n",
       "      <td>42233</td>\n",
       "      <td>33501</td>\n",
       "      <td>10206</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>22568</td>\n",
       "      <td>521.00</td>\n",
       "      <td>50.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>51.00</td>\n",
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       "    <tr>\n",
       "      <th>26f86dbc9b9cc02d1e3130f085f97195b585a3a4</th>\n",
       "      <td>https://www.washingtonpost.com/news/sports/wp/...</td>\n",
       "      <td>Shalane Flanagan becomes first American woman ...</td>\n",
       "      <td>2017-11-05 16:59:18.064</td>\n",
       "      <td>2017-11-05 16:56:00.000</td>\n",
       "      <td>114335</td>\n",
       "      <td>1522.95</td>\n",
       "      <td>2017-11-06T16:28:13.194Z</td>\n",
       "      <td>3220</td>\n",
       "      <td>106152</td>\n",
       "      <td>4963</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>191</td>\n",
       "      <td>32.00</td>\n",
       "      <td>50.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>51.00</td>\n",
       "      <td>-49.00</td>\n",
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       "    <tr>\n",
       "      <th>6d75837f69cebb8b1cefae20422de0c1ea000beb</th>\n",
       "      <td>https://www.theguardian.com/environment/2017/n...</td>\n",
       "      <td>Michael Bloomberg’s ‘war on coal’ goes global ...</td>\n",
       "      <td>2017-11-09 06:49:05.637</td>\n",
       "      <td>2017-11-09 06:45:06.000</td>\n",
       "      <td>328658</td>\n",
       "      <td>409.75</td>\n",
       "      <td>2017-11-11T18:03:11.221Z</td>\n",
       "      <td>462</td>\n",
       "      <td>327101</td>\n",
       "      <td>1095</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>142</td>\n",
       "      <td>740.00</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",
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       "    </tr>\n",
       "    <tr>\n",
       "      <th>8ebbbf91d0f0d5617002ef50d4738426ba4d72b2</th>\n",
       "      <td>https://www.huffingtonpost.com/entry/repent-an...</td>\n",
       "      <td>Repent and Believe in the Gospel! Over 300 Chr...</td>\n",
       "      <td>2017-11-20 20:46:19.033</td>\n",
       "      <td>2017-11-20 20:40:02.257</td>\n",
       "      <td>62306</td>\n",
       "      <td>29.13</td>\n",
       "      <td>2017-11-21T17:00:04.727Z</td>\n",
       "      <td>9176</td>\n",
       "      <td>41868</td>\n",
       "      <td>11262</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>215</td>\n",
       "      <td>981.00</td>\n",
       "      <td>48.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
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       "      <td>-48.00</td>\n",
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       "    <tr>\n",
       "      <th>6f2b23a4e1bcf2a0aaec840d0c405f2555e0021c</th>\n",
       "      <td>https://www.buzzfeed.com/beatrizserranomolina/...</td>\n",
       "      <td>¿Y cómo se supone que se tiene que comportar u...</td>\n",
       "      <td>2017-11-15 13:01:19.016</td>\n",
       "      <td>2017-11-15 11:47:22.000</td>\n",
       "      <td>61572</td>\n",
       "      <td>54.31</td>\n",
       "      <td>2017-11-15T22:11:07.513Z</td>\n",
       "      <td>7987</td>\n",
       "      <td>43761</td>\n",
       "      <td>9824</td>\n",
       "      <td>...</td>\n",
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       "      <td>147</td>\n",
       "      <td>1010.00</td>\n",
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       "    <tr>\n",
       "      <th>bbbf07f32f7cd2f97ab067f0cca7236f88d75347</th>\n",
       "      <td>https://www.washingtonpost.com/news/education/...</td>\n",
       "      <td>Teachers spend nearly $1,000 a year on supplie...</td>\n",
       "      <td>2017-11-03 00:37:11.237</td>\n",
       "      <td>2017-11-03 00:24:13.000</td>\n",
       "      <td>62320</td>\n",
       "      <td>28.91</td>\n",
       "      <td>2017-11-04T16:16:11.718Z</td>\n",
       "      <td>13950</td>\n",
       "      <td>36628</td>\n",
       "      <td>11742</td>\n",
       "      <td>...</td>\n",
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       "      <td>191</td>\n",
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       "    <tr>\n",
       "      <th>ba4dd0d3636f52b2c3acace3a81c55dd0ccb4a7e</th>\n",
       "      <td>http://www.independent.co.uk/life-style/people...</td>\n",
       "      <td>People who put up Christmas decorations early ...</td>\n",
       "      <td>2017-11-20 15:19:18.674</td>\n",
       "      <td>2017-11-20 15:18:29.000</td>\n",
       "      <td>57406</td>\n",
       "      <td>220.70</td>\n",
       "      <td>2017-11-21T16:08:07.332Z</td>\n",
       "      <td>23434</td>\n",
       "      <td>30356</td>\n",
       "      <td>3616</td>\n",
       "      <td>...</td>\n",
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       "      <td>386</td>\n",
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       "      <td>0.00</td>\n",
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       "    <tr>\n",
       "      <th>40c8c55d685b08a0be04a3ff12d943c00dfc1d95</th>\n",
       "      <td>https://www.huffingtonpost.com/entry/what-work...</td>\n",
       "      <td>What Working People Face</td>\n",
       "      <td>2017-11-05 20:01:14.905</td>\n",
       "      <td>2017-11-05 19:57:11.582</td>\n",
       "      <td>55579</td>\n",
       "      <td>29.91</td>\n",
       "      <td>2017-11-06T18:32:10.656Z</td>\n",
       "      <td>2505</td>\n",
       "      <td>48871</td>\n",
       "      <td>4203</td>\n",
       "      <td>...</td>\n",
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       "      <td>215</td>\n",
       "      <td>832.00</td>\n",
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       "      <td>0.00</td>\n",
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       "    <tr>\n",
       "      <th>328125a8ff5f9d8fa2f27e87f31f825a8d84afbb</th>\n",
       "      <td>https://www.nytimes.com/2017/11/25/us/ohio-hov...</td>\n",
       "      <td>In America’s Heartland, the Nazi Sympathizer N...</td>\n",
       "      <td>2017-11-25 16:22:14.136</td>\n",
       "      <td>2017-11-25 16:18:53.000</td>\n",
       "      <td>63540</td>\n",
       "      <td>45.21</td>\n",
       "      <td>2017-11-26T00:09:05.054Z</td>\n",
       "      <td>29483</td>\n",
       "      <td>26172</td>\n",
       "      <td>7885</td>\n",
       "      <td>...</td>\n",
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       "      <td>120</td>\n",
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       "    <tr>\n",
       "      <th>5d4dffaf16d73098cf982bdb11b7c43ceae43104</th>\n",
       "      <td>http://www.foxnews.com/politics/2017/11/16/tru...</td>\n",
       "      <td>Trump to lift ban on importing elephant trophi...</td>\n",
       "      <td>2017-11-16 07:24:13.207</td>\n",
       "      <td>2017-11-16 06:46:06.000</td>\n",
       "      <td>54014</td>\n",
       "      <td>69.05</td>\n",
       "      <td>2017-11-16T15:56:07.176Z</td>\n",
       "      <td>22421</td>\n",
       "      <td>25194</td>\n",
       "      <td>6399</td>\n",
       "      <td>...</td>\n",
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       "      <td>1.00</td>\n",
       "      <td>0.00</td>\n",
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       "    <tr>\n",
       "      <th>8a826e4e1f393df72e7860ce819b52385cb47ff7</th>\n",
       "      <td>https://www.washingtonpost.com/news/wonk/wp/20...</td>\n",
       "      <td>37 of 38 economists said the GOP tax plans wou...</td>\n",
       "      <td>2017-11-22 16:01:20.600</td>\n",
       "      <td>2017-11-22 15:47:42.000</td>\n",
       "      <td>50910</td>\n",
       "      <td>140.55</td>\n",
       "      <td>2017-11-22T22:25:10.300Z</td>\n",
       "      <td>6022</td>\n",
       "      <td>35960</td>\n",
       "      <td>8928</td>\n",
       "      <td>...</td>\n",
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       "      <td>191</td>\n",
       "      <td>672.00</td>\n",
       "      <td>47.00</td>\n",
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       "      <td>1.00</td>\n",
       "      <td>0.00</td>\n",
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       "    <tr>\n",
       "      <th>90d101797f1de9c57000613cd336854586fd7fa4</th>\n",
       "      <td>https://www.washingtonpost.com/news/national/w...</td>\n",
       "      <td>Charles Manson, the fiery-eyed cult leader who...</td>\n",
       "      <td>2017-11-20 05:59:15.649</td>\n",
       "      <td>2017-11-20 05:53:00.000</td>\n",
       "      <td>51672</td>\n",
       "      <td>174.73</td>\n",
       "      <td>2017-11-20T06:10:05.982Z</td>\n",
       "      <td>13170</td>\n",
       "      <td>31137</td>\n",
       "      <td>7365</td>\n",
       "      <td>...</td>\n",
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       "    <tr>\n",
       "      <th>069b9faa8dfdb74f280b47a0ad9ce97c73bd7d4d</th>\n",
       "      <td>http://www.foxnews.com/science/2017/11/07/hell...</td>\n",
       "      <td>'Hell is Here' for burning elephants in award-...</td>\n",
       "      <td>2017-11-07 16:54:16.736</td>\n",
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       "      <td>248.06</td>\n",
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       "    <tr>\n",
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       "      <td>https://www.washingtonpost.com/news/politics/w...</td>\n",
       "      <td>In a rarity, Trump says administration will ba...</td>\n",
       "      <td>2017-11-18 01:49:14.023</td>\n",
       "      <td>2017-11-18 01:45:00.000</td>\n",
       "      <td>49202</td>\n",
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       "      <td>2017-11-18T18:22:05.966Z</td>\n",
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       "    <tr>\n",
       "      <th>2491314cee8db9dfac626a215a1efcf87fa340e7</th>\n",
       "      <td>https://www.huffingtonpost.com/entry/kaeptain-...</td>\n",
       "      <td>KAEPtain America: This Is What A Patriot Looks...</td>\n",
       "      <td>2017-11-13 23:16:13.630</td>\n",
       "      <td>2017-11-13 23:10:19.532</td>\n",
       "      <td>47303</td>\n",
       "      <td>78.29</td>\n",
       "      <td>2017-11-14T02:29:06.819Z</td>\n",
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       "    <tr>\n",
       "      <th>c6d5ebd4e61ff24c3d1a6860a0eeebe586ebbd4b</th>\n",
       "      <td>http://yournewswire.com/cia-agent-deathbed-bob...</td>\n",
       "      <td>CIA Agent Confesses On Deathbed: ‘I Killed Bob...</td>\n",
       "      <td>2017-11-30 17:24:36.210</td>\n",
       "      <td>2017-11-30 16:56:00.000</td>\n",
       "      <td>109979</td>\n",
       "      <td>46.52</td>\n",
       "      <td>2017-12-02T15:10:16.853Z</td>\n",
       "      <td>34047</td>\n",
       "      <td>49632</td>\n",
       "      <td>26300</td>\n",
       "      <td>...</td>\n",
       "      <td>2017-12-01T15:04:01.000Z</td>\n",
       "      <td>22568</td>\n",
       "      <td>907.00</td>\n",
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       "      <td>4.00</td>\n",
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       "    </tr>\n",
       "    <tr>\n",
       "      <th>844ef6eb6931cdb104db43fbb85318c886a6f89d</th>\n",
       "      <td>https://www.theguardian.com/australia-news/201...</td>\n",
       "      <td>Same-sex marriage bill passes in Australian Se...</td>\n",
       "      <td>2017-11-29 02:37:10.818</td>\n",
       "      <td>2017-11-29 02:34:52.000</td>\n",
       "      <td>35803</td>\n",
       "      <td>144.64</td>\n",
       "      <td>2017-11-29T02:48:15.367Z</td>\n",
       "      <td>2219</td>\n",
       "      <td>31450</td>\n",
       "      <td>2134</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>142</td>\n",
       "      <td>693.00</td>\n",
       "      <td>45.00</td>\n",
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       "      <td>0.00</td>\n",
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       "      <td>45.00</td>\n",
       "      <td>-45.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>66d9977c8749c1bd45ecdfe077fbabdf5012f716</th>\n",
       "      <td>http://www.breitbart.com/big-government/2017/1...</td>\n",
       "      <td>President Trump Will Permit Citizens to Buy Mi...</td>\n",
       "      <td>2017-11-24 23:24:17.385</td>\n",
       "      <td>2017-11-24 12:09:26.000</td>\n",
       "      <td>46124</td>\n",
       "      <td>24.30</td>\n",
       "      <td>2017-11-26T17:40:16.302Z</td>\n",
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       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>25 rows × 27 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                                                                                        url  \\\n",
       "id                                                                                            \n",
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       "6d75837f69cebb8b1cefae20422de0c1ea000beb  https://www.theguardian.com/environment/2017/n...   \n",
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       "\n",
       "                                                                                   headline  \\\n",
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       "42028ce3b987d9ec95e01274b992204bf27fdb1a  Exposing America's Biggest Hypocrites: Evangel...   \n",
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       "40c8c55d685b08a0be04a3ff12d943c00dfc1d95                           What Working People Face   \n",
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       "66d9977c8749c1bd45ecdfe077fbabdf5012f716  President Trump Will Permit Citizens to Buy Mi...   \n",
       "\n",
       "                                                      discovered  \\\n",
       "id                                                                 \n",
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       "\n",
       "                                                       published  \\\n",
       "id                                                                 \n",
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       "\n",
       "                                          fb_engagements  \\\n",
       "id                                                         \n",
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       "6f2b23a4e1bcf2a0aaec840d0c405f2555e0021c           61572   \n",
       "bbbf07f32f7cd2f97ab067f0cca7236f88d75347           62320   \n",
       "ba4dd0d3636f52b2c3acace3a81c55dd0ccb4a7e           57406   \n",
       "40c8c55d685b08a0be04a3ff12d943c00dfc1d95           55579   \n",
       "328125a8ff5f9d8fa2f27e87f31f825a8d84afbb           63540   \n",
       "5d4dffaf16d73098cf982bdb11b7c43ceae43104           54014   \n",
       "8a826e4e1f393df72e7860ce819b52385cb47ff7           50910   \n",
       "90d101797f1de9c57000613cd336854586fd7fa4           51672   \n",
       "069b9faa8dfdb74f280b47a0ad9ce97c73bd7d4d           50714   \n",
       "766d2bd690e1055b804eaae1ea439964586aa8c8           49202   \n",
       "2491314cee8db9dfac626a215a1efcf87fa340e7           47303   \n",
       "c6d5ebd4e61ff24c3d1a6860a0eeebe586ebbd4b          109979   \n",
       "844ef6eb6931cdb104db43fbb85318c886a6f89d           35803   \n",
       "66d9977c8749c1bd45ecdfe077fbabdf5012f716           46124   \n",
       "\n",
       "                                          fb_max_engagements_per_min  \\\n",
       "id                                                                     \n",
       "42028ce3b987d9ec95e01274b992204bf27fdb1a                       79.97   \n",
       "0d1704ce4fcd2856a1357d444ab6ddd4610db8f8                       21.63   \n",
       "93f4b0a5428fd4f228b02b823c4f3922e6130bff                      328.39   \n",
       "36a95aa544343e37d69586a3f628b6ebe4e04220                      206.32   \n",
       "71e02bf08d789e6191eac1f32dfefd85c6f71a27                      229.75   \n",
       "21e7fb448ff66db53054103e7e866ebd8faafdb6                      162.73   \n",
       "c08460b2595b412be2e6a31d0c42234a67ba7d21                      303.00   \n",
       "9b07e5f6fc081861f8d0c6d6bb478e6c43d3fba6                       32.63   \n",
       "26f86dbc9b9cc02d1e3130f085f97195b585a3a4                     1522.95   \n",
       "6d75837f69cebb8b1cefae20422de0c1ea000beb                      409.75   \n",
       "8ebbbf91d0f0d5617002ef50d4738426ba4d72b2                       29.13   \n",
       "6f2b23a4e1bcf2a0aaec840d0c405f2555e0021c                       54.31   \n",
       "bbbf07f32f7cd2f97ab067f0cca7236f88d75347                       28.91   \n",
       "ba4dd0d3636f52b2c3acace3a81c55dd0ccb4a7e                      220.70   \n",
       "40c8c55d685b08a0be04a3ff12d943c00dfc1d95                       29.91   \n",
       "328125a8ff5f9d8fa2f27e87f31f825a8d84afbb                       45.21   \n",
       "5d4dffaf16d73098cf982bdb11b7c43ceae43104                       69.05   \n",
       "8a826e4e1f393df72e7860ce819b52385cb47ff7                      140.55   \n",
       "90d101797f1de9c57000613cd336854586fd7fa4                      174.73   \n",
       "069b9faa8dfdb74f280b47a0ad9ce97c73bd7d4d                      248.06   \n",
       "766d2bd690e1055b804eaae1ea439964586aa8c8                      234.59   \n",
       "2491314cee8db9dfac626a215a1efcf87fa340e7                       78.29   \n",
       "c6d5ebd4e61ff24c3d1a6860a0eeebe586ebbd4b                       46.52   \n",
       "844ef6eb6931cdb104db43fbb85318c886a6f89d                      144.64   \n",
       "66d9977c8749c1bd45ecdfe077fbabdf5012f716                       24.30   \n",
       "\n",
       "                                         fb_max_engagements_per_min_time  \\\n",
       "id                                                                         \n",
       "42028ce3b987d9ec95e01274b992204bf27fdb1a        2017-11-25T17:20:19.095Z   \n",
       "0d1704ce4fcd2856a1357d444ab6ddd4610db8f8        2017-11-16T01:28:12.610Z   \n",
       "93f4b0a5428fd4f228b02b823c4f3922e6130bff        2017-11-27T03:06:04.999Z   \n",
       "36a95aa544343e37d69586a3f628b6ebe4e04220        2017-11-07T16:10:08.489Z   \n",
       "71e02bf08d789e6191eac1f32dfefd85c6f71a27        2017-11-08T12:27:07.534Z   \n",
       "21e7fb448ff66db53054103e7e866ebd8faafdb6        2017-11-03T22:02:04.064Z   \n",
       "c08460b2595b412be2e6a31d0c42234a67ba7d21        2017-11-30T20:17:10.889Z   \n",
       "9b07e5f6fc081861f8d0c6d6bb478e6c43d3fba6        2017-11-14T16:17:12.675Z   \n",
       "26f86dbc9b9cc02d1e3130f085f97195b585a3a4        2017-11-06T16:28:13.194Z   \n",
       "6d75837f69cebb8b1cefae20422de0c1ea000beb        2017-11-11T18:03:11.221Z   \n",
       "8ebbbf91d0f0d5617002ef50d4738426ba4d72b2        2017-11-21T17:00:04.727Z   \n",
       "6f2b23a4e1bcf2a0aaec840d0c405f2555e0021c        2017-11-15T22:11:07.513Z   \n",
       "bbbf07f32f7cd2f97ab067f0cca7236f88d75347        2017-11-04T16:16:11.718Z   \n",
       "ba4dd0d3636f52b2c3acace3a81c55dd0ccb4a7e        2017-11-21T16:08:07.332Z   \n",
       "40c8c55d685b08a0be04a3ff12d943c00dfc1d95        2017-11-06T18:32:10.656Z   \n",
       "328125a8ff5f9d8fa2f27e87f31f825a8d84afbb        2017-11-26T00:09:05.054Z   \n",
       "5d4dffaf16d73098cf982bdb11b7c43ceae43104        2017-11-16T15:56:07.176Z   \n",
       "8a826e4e1f393df72e7860ce819b52385cb47ff7        2017-11-22T22:25:10.300Z   \n",
       "90d101797f1de9c57000613cd336854586fd7fa4        2017-11-20T06:10:05.982Z   \n",
       "069b9faa8dfdb74f280b47a0ad9ce97c73bd7d4d        2017-11-08T14:06:07.932Z   \n",
       "766d2bd690e1055b804eaae1ea439964586aa8c8        2017-11-18T18:22:05.966Z   \n",
       "2491314cee8db9dfac626a215a1efcf87fa340e7        2017-11-14T02:29:06.819Z   \n",
       "c6d5ebd4e61ff24c3d1a6860a0eeebe586ebbd4b        2017-12-02T15:10:16.853Z   \n",
       "844ef6eb6931cdb104db43fbb85318c886a6f89d        2017-11-29T02:48:15.367Z   \n",
       "66d9977c8749c1bd45ecdfe077fbabdf5012f716        2017-11-26T17:40:16.302Z   \n",
       "\n",
       "                                          fb_comments  fb_reactions  \\\n",
       "id                                                                    \n",
       "42028ce3b987d9ec95e01274b992204bf27fdb1a        18763         56521   \n",
       "0d1704ce4fcd2856a1357d444ab6ddd4610db8f8        11355         56808   \n",
       "93f4b0a5428fd4f228b02b823c4f3922e6130bff        20502         59091   \n",
       "36a95aa544343e37d69586a3f628b6ebe4e04220        11476         63186   \n",
       "71e02bf08d789e6191eac1f32dfefd85c6f71a27        14945         89516   \n",
       "21e7fb448ff66db53054103e7e866ebd8faafdb6         9910         68673   \n",
       "c08460b2595b412be2e6a31d0c42234a67ba7d21        16818         70041   \n",
       "9b07e5f6fc081861f8d0c6d6bb478e6c43d3fba6        42233         33501   \n",
       "26f86dbc9b9cc02d1e3130f085f97195b585a3a4         3220        106152   \n",
       "6d75837f69cebb8b1cefae20422de0c1ea000beb          462        327101   \n",
       "8ebbbf91d0f0d5617002ef50d4738426ba4d72b2         9176         41868   \n",
       "6f2b23a4e1bcf2a0aaec840d0c405f2555e0021c         7987         43761   \n",
       "bbbf07f32f7cd2f97ab067f0cca7236f88d75347        13950         36628   \n",
       "ba4dd0d3636f52b2c3acace3a81c55dd0ccb4a7e        23434         30356   \n",
       "40c8c55d685b08a0be04a3ff12d943c00dfc1d95         2505         48871   \n",
       "328125a8ff5f9d8fa2f27e87f31f825a8d84afbb        29483         26172   \n",
       "5d4dffaf16d73098cf982bdb11b7c43ceae43104        22421         25194   \n",
       "8a826e4e1f393df72e7860ce819b52385cb47ff7         6022         35960   \n",
       "90d101797f1de9c57000613cd336854586fd7fa4        13170         31137   \n",
       "069b9faa8dfdb74f280b47a0ad9ce97c73bd7d4d        12146         32338   \n",
       "766d2bd690e1055b804eaae1ea439964586aa8c8         8326         34803   \n",
       "2491314cee8db9dfac626a215a1efcf87fa340e7         6663         38123   \n",
       "c6d5ebd4e61ff24c3d1a6860a0eeebe586ebbd4b        34047         49632   \n",
       "844ef6eb6931cdb104db43fbb85318c886a6f89d         2219         31450   \n",
       "66d9977c8749c1bd45ecdfe077fbabdf5012f716         6806         35818   \n",
       "\n",
       "                                          fb_shares     ...      \\\n",
       "id                                                      ...       \n",
       "42028ce3b987d9ec95e01274b992204bf27fdb1a      11543     ...       \n",
       "0d1704ce4fcd2856a1357d444ab6ddd4610db8f8      16953     ...       \n",
       "93f4b0a5428fd4f228b02b823c4f3922e6130bff      14837     ...       \n",
       "36a95aa544343e37d69586a3f628b6ebe4e04220       5713     ...       \n",
       "71e02bf08d789e6191eac1f32dfefd85c6f71a27       5095     ...       \n",
       "21e7fb448ff66db53054103e7e866ebd8faafdb6       1939     ...       \n",
       "c08460b2595b412be2e6a31d0c42234a67ba7d21      15903     ...       \n",
       "9b07e5f6fc081861f8d0c6d6bb478e6c43d3fba6      10206     ...       \n",
       "26f86dbc9b9cc02d1e3130f085f97195b585a3a4       4963     ...       \n",
       "6d75837f69cebb8b1cefae20422de0c1ea000beb       1095     ...       \n",
       "8ebbbf91d0f0d5617002ef50d4738426ba4d72b2      11262     ...       \n",
       "6f2b23a4e1bcf2a0aaec840d0c405f2555e0021c       9824     ...       \n",
       "bbbf07f32f7cd2f97ab067f0cca7236f88d75347      11742     ...       \n",
       "ba4dd0d3636f52b2c3acace3a81c55dd0ccb4a7e       3616     ...       \n",
       "40c8c55d685b08a0be04a3ff12d943c00dfc1d95       4203     ...       \n",
       "328125a8ff5f9d8fa2f27e87f31f825a8d84afbb       7885     ...       \n",
       "5d4dffaf16d73098cf982bdb11b7c43ceae43104       6399     ...       \n",
       "8a826e4e1f393df72e7860ce819b52385cb47ff7       8928     ...       \n",
       "90d101797f1de9c57000613cd336854586fd7fa4       7365     ...       \n",
       "069b9faa8dfdb74f280b47a0ad9ce97c73bd7d4d       6230     ...       \n",
       "766d2bd690e1055b804eaae1ea439964586aa8c8       6073     ...       \n",
       "2491314cee8db9dfac626a215a1efcf87fa340e7       2517     ...       \n",
       "c6d5ebd4e61ff24c3d1a6860a0eeebe586ebbd4b      26300     ...       \n",
       "844ef6eb6931cdb104db43fbb85318c886a6f89d       2134     ...       \n",
       "66d9977c8749c1bd45ecdfe077fbabdf5012f716       3500     ...       \n",
       "\n",
       "                                                fb_brand_page_time alexa_rank  \\\n",
       "id                                                                              \n",
       "42028ce3b987d9ec95e01274b992204bf27fdb1a                       NaN        215   \n",
       "0d1704ce4fcd2856a1357d444ab6ddd4610db8f8                       NaN        215   \n",
       "93f4b0a5428fd4f228b02b823c4f3922e6130bff                       NaN        120   \n",
       "36a95aa544343e37d69586a3f628b6ebe4e04220                       NaN        147   \n",
       "71e02bf08d789e6191eac1f32dfefd85c6f71a27                       NaN        285   \n",
       "21e7fb448ff66db53054103e7e866ebd8faafdb6                       NaN        285   \n",
       "c08460b2595b412be2e6a31d0c42234a67ba7d21                       NaN        285   \n",
       "9b07e5f6fc081861f8d0c6d6bb478e6c43d3fba6                       NaN      22568   \n",
       "26f86dbc9b9cc02d1e3130f085f97195b585a3a4                       NaN        191   \n",
       "6d75837f69cebb8b1cefae20422de0c1ea000beb                       NaN        142   \n",
       "8ebbbf91d0f0d5617002ef50d4738426ba4d72b2                       NaN        215   \n",
       "6f2b23a4e1bcf2a0aaec840d0c405f2555e0021c                       NaN        147   \n",
       "bbbf07f32f7cd2f97ab067f0cca7236f88d75347                       NaN        191   \n",
       "ba4dd0d3636f52b2c3acace3a81c55dd0ccb4a7e                       NaN        386   \n",
       "40c8c55d685b08a0be04a3ff12d943c00dfc1d95                       NaN        215   \n",
       "328125a8ff5f9d8fa2f27e87f31f825a8d84afbb                       NaN        120   \n",
       "5d4dffaf16d73098cf982bdb11b7c43ceae43104                       NaN        285   \n",
       "8a826e4e1f393df72e7860ce819b52385cb47ff7                       NaN        191   \n",
       "90d101797f1de9c57000613cd336854586fd7fa4                       NaN        191   \n",
       "069b9faa8dfdb74f280b47a0ad9ce97c73bd7d4d                       NaN        285   \n",
       "766d2bd690e1055b804eaae1ea439964586aa8c8                       NaN        191   \n",
       "2491314cee8db9dfac626a215a1efcf87fa340e7                       NaN        215   \n",
       "c6d5ebd4e61ff24c3d1a6860a0eeebe586ebbd4b  2017-12-01T15:04:01.000Z      22568   \n",
       "844ef6eb6931cdb104db43fbb85318c886a6f89d                       NaN        142   \n",
       "66d9977c8749c1bd45ecdfe077fbabdf5012f716                       NaN        994   \n",
       "\n",
       "                                          word_count  response_score  \\\n",
       "id                                                                     \n",
       "42028ce3b987d9ec95e01274b992204bf27fdb1a      953.00           50.00   \n",
       "0d1704ce4fcd2856a1357d444ab6ddd4610db8f8     1261.00           50.00   \n",
       "93f4b0a5428fd4f228b02b823c4f3922e6130bff      680.00           50.00   \n",
       "36a95aa544343e37d69586a3f628b6ebe4e04220         nan           50.00   \n",
       "71e02bf08d789e6191eac1f32dfefd85c6f71a27      197.00           50.00   \n",
       "21e7fb448ff66db53054103e7e866ebd8faafdb6     1053.00           50.00   \n",
       "c08460b2595b412be2e6a31d0c42234a67ba7d21      172.00           50.00   \n",
       "9b07e5f6fc081861f8d0c6d6bb478e6c43d3fba6      521.00           50.00   \n",
       "26f86dbc9b9cc02d1e3130f085f97195b585a3a4       32.00           50.00   \n",
       "6d75837f69cebb8b1cefae20422de0c1ea000beb      740.00           50.00   \n",
       "8ebbbf91d0f0d5617002ef50d4738426ba4d72b2      981.00           48.00   \n",
       "6f2b23a4e1bcf2a0aaec840d0c405f2555e0021c     1010.00           48.00   \n",
       "bbbf07f32f7cd2f97ab067f0cca7236f88d75347      554.00           48.00   \n",
       "ba4dd0d3636f52b2c3acace3a81c55dd0ccb4a7e      363.00           48.00   \n",
       "40c8c55d685b08a0be04a3ff12d943c00dfc1d95      832.00           47.00   \n",
       "328125a8ff5f9d8fa2f27e87f31f825a8d84afbb     2267.00           48.00   \n",
       "5d4dffaf16d73098cf982bdb11b7c43ceae43104      355.00           47.00   \n",
       "8a826e4e1f393df72e7860ce819b52385cb47ff7      672.00           47.00   \n",
       "90d101797f1de9c57000613cd336854586fd7fa4      146.00           47.00   \n",
       "069b9faa8dfdb74f280b47a0ad9ce97c73bd7d4d      380.00           47.00   \n",
       "766d2bd690e1055b804eaae1ea439964586aa8c8       73.00           47.00   \n",
       "2491314cee8db9dfac626a215a1efcf87fa340e7      847.00           46.00   \n",
       "c6d5ebd4e61ff24c3d1a6860a0eeebe586ebbd4b      907.00           50.00   \n",
       "844ef6eb6931cdb104db43fbb85318c886a6f89d      693.00           45.00   \n",
       "66d9977c8749c1bd45ecdfe077fbabdf5012f716      266.00           46.00   \n",
       "\n",
       "                                          lead_score  front_score  \\\n",
       "id                                                                  \n",
       "42028ce3b987d9ec95e01274b992204bf27fdb1a        0.00         0.00   \n",
       "0d1704ce4fcd2856a1357d444ab6ddd4610db8f8        0.00         0.00   \n",
       "93f4b0a5428fd4f228b02b823c4f3922e6130bff        0.00         0.00   \n",
       "36a95aa544343e37d69586a3f628b6ebe4e04220        0.00         0.00   \n",
       "71e02bf08d789e6191eac1f32dfefd85c6f71a27        0.00         1.00   \n",
       "21e7fb448ff66db53054103e7e866ebd8faafdb6        0.00         1.00   \n",
       "c08460b2595b412be2e6a31d0c42234a67ba7d21        0.00         1.00   \n",
       "9b07e5f6fc081861f8d0c6d6bb478e6c43d3fba6        0.00         1.00   \n",
       "26f86dbc9b9cc02d1e3130f085f97195b585a3a4        0.00         1.00   \n",
       "6d75837f69cebb8b1cefae20422de0c1ea000beb        0.00         2.00   \n",
       "8ebbbf91d0f0d5617002ef50d4738426ba4d72b2        0.00         0.00   \n",
       "6f2b23a4e1bcf2a0aaec840d0c405f2555e0021c        0.00         0.00   \n",
       "bbbf07f32f7cd2f97ab067f0cca7236f88d75347        0.00         0.00   \n",
       "ba4dd0d3636f52b2c3acace3a81c55dd0ccb4a7e        0.00         0.00   \n",
       "40c8c55d685b08a0be04a3ff12d943c00dfc1d95        0.00         0.00   \n",
       "328125a8ff5f9d8fa2f27e87f31f825a8d84afbb        0.00         1.00   \n",
       "5d4dffaf16d73098cf982bdb11b7c43ceae43104        0.00         1.00   \n",
       "8a826e4e1f393df72e7860ce819b52385cb47ff7        0.00         1.00   \n",
       "90d101797f1de9c57000613cd336854586fd7fa4        0.00         1.00   \n",
       "069b9faa8dfdb74f280b47a0ad9ce97c73bd7d4d        0.00         1.00   \n",
       "766d2bd690e1055b804eaae1ea439964586aa8c8        0.00         1.00   \n",
       "2491314cee8db9dfac626a215a1efcf87fa340e7        0.00         0.00   \n",
       "c6d5ebd4e61ff24c3d1a6860a0eeebe586ebbd4b        0.00         1.00   \n",
       "844ef6eb6931cdb104db43fbb85318c886a6f89d        0.00         0.00   \n",
       "66d9977c8749c1bd45ecdfe077fbabdf5012f716        0.00         1.00   \n",
       "\n",
       "                                          facebook_promotion_score  \\\n",
       "id                                                                   \n",
       "42028ce3b987d9ec95e01274b992204bf27fdb1a                      0.00   \n",
       "0d1704ce4fcd2856a1357d444ab6ddd4610db8f8                      0.00   \n",
       "93f4b0a5428fd4f228b02b823c4f3922e6130bff                      0.00   \n",
       "36a95aa544343e37d69586a3f628b6ebe4e04220                      0.00   \n",
       "71e02bf08d789e6191eac1f32dfefd85c6f71a27                      0.00   \n",
       "21e7fb448ff66db53054103e7e866ebd8faafdb6                      0.00   \n",
       "c08460b2595b412be2e6a31d0c42234a67ba7d21                      0.00   \n",
       "9b07e5f6fc081861f8d0c6d6bb478e6c43d3fba6                      0.00   \n",
       "26f86dbc9b9cc02d1e3130f085f97195b585a3a4                      0.00   \n",
       "6d75837f69cebb8b1cefae20422de0c1ea000beb                      0.00   \n",
       "8ebbbf91d0f0d5617002ef50d4738426ba4d72b2                      0.00   \n",
       "6f2b23a4e1bcf2a0aaec840d0c405f2555e0021c                      0.00   \n",
       "bbbf07f32f7cd2f97ab067f0cca7236f88d75347                      0.00   \n",
       "ba4dd0d3636f52b2c3acace3a81c55dd0ccb4a7e                      0.00   \n",
       "40c8c55d685b08a0be04a3ff12d943c00dfc1d95                      0.00   \n",
       "328125a8ff5f9d8fa2f27e87f31f825a8d84afbb                      0.00   \n",
       "5d4dffaf16d73098cf982bdb11b7c43ceae43104                      0.00   \n",
       "8a826e4e1f393df72e7860ce819b52385cb47ff7                      0.00   \n",
       "90d101797f1de9c57000613cd336854586fd7fa4                      0.00   \n",
       "069b9faa8dfdb74f280b47a0ad9ce97c73bd7d4d                      0.00   \n",
       "766d2bd690e1055b804eaae1ea439964586aa8c8                      0.00   \n",
       "2491314cee8db9dfac626a215a1efcf87fa340e7                      0.00   \n",
       "c6d5ebd4e61ff24c3d1a6860a0eeebe586ebbd4b                      4.00   \n",
       "844ef6eb6931cdb104db43fbb85318c886a6f89d                      0.00   \n",
       "66d9977c8749c1bd45ecdfe077fbabdf5012f716                      0.00   \n",
       "\n",
       "                                         promotion_score  attention_index  \\\n",
       "id                                                                          \n",
       "42028ce3b987d9ec95e01274b992204bf27fdb1a            0.00            50.00   \n",
       "0d1704ce4fcd2856a1357d444ab6ddd4610db8f8            0.00            50.00   \n",
       "93f4b0a5428fd4f228b02b823c4f3922e6130bff            0.00            50.00   \n",
       "36a95aa544343e37d69586a3f628b6ebe4e04220            0.00            50.00   \n",
       "71e02bf08d789e6191eac1f32dfefd85c6f71a27            1.00            51.00   \n",
       "21e7fb448ff66db53054103e7e866ebd8faafdb6            1.00            51.00   \n",
       "c08460b2595b412be2e6a31d0c42234a67ba7d21            1.00            51.00   \n",
       "9b07e5f6fc081861f8d0c6d6bb478e6c43d3fba6            1.00            51.00   \n",
       "26f86dbc9b9cc02d1e3130f085f97195b585a3a4            1.00            51.00   \n",
       "6d75837f69cebb8b1cefae20422de0c1ea000beb            2.00            52.00   \n",
       "8ebbbf91d0f0d5617002ef50d4738426ba4d72b2            0.00            48.00   \n",
       "6f2b23a4e1bcf2a0aaec840d0c405f2555e0021c            0.00            48.00   \n",
       "bbbf07f32f7cd2f97ab067f0cca7236f88d75347            0.00            48.00   \n",
       "ba4dd0d3636f52b2c3acace3a81c55dd0ccb4a7e            0.00            48.00   \n",
       "40c8c55d685b08a0be04a3ff12d943c00dfc1d95            0.00            47.00   \n",
       "328125a8ff5f9d8fa2f27e87f31f825a8d84afbb            1.00            49.00   \n",
       "5d4dffaf16d73098cf982bdb11b7c43ceae43104            1.00            48.00   \n",
       "8a826e4e1f393df72e7860ce819b52385cb47ff7            1.00            48.00   \n",
       "90d101797f1de9c57000613cd336854586fd7fa4            1.00            48.00   \n",
       "069b9faa8dfdb74f280b47a0ad9ce97c73bd7d4d            1.00            48.00   \n",
       "766d2bd690e1055b804eaae1ea439964586aa8c8            1.00            48.00   \n",
       "2491314cee8db9dfac626a215a1efcf87fa340e7            0.00            46.00   \n",
       "c6d5ebd4e61ff24c3d1a6860a0eeebe586ebbd4b            5.00            55.00   \n",
       "844ef6eb6931cdb104db43fbb85318c886a6f89d            0.00            45.00   \n",
       "66d9977c8749c1bd45ecdfe077fbabdf5012f716            1.00            47.00   \n",
       "\n",
       "                                          score_diff  \n",
       "id                                                    \n",
       "42028ce3b987d9ec95e01274b992204bf27fdb1a      -50.00  \n",
       "0d1704ce4fcd2856a1357d444ab6ddd4610db8f8      -50.00  \n",
       "93f4b0a5428fd4f228b02b823c4f3922e6130bff      -50.00  \n",
       "36a95aa544343e37d69586a3f628b6ebe4e04220      -50.00  \n",
       "71e02bf08d789e6191eac1f32dfefd85c6f71a27      -49.00  \n",
       "21e7fb448ff66db53054103e7e866ebd8faafdb6      -49.00  \n",
       "c08460b2595b412be2e6a31d0c42234a67ba7d21      -49.00  \n",
       "9b07e5f6fc081861f8d0c6d6bb478e6c43d3fba6      -49.00  \n",
       "26f86dbc9b9cc02d1e3130f085f97195b585a3a4      -49.00  \n",
       "6d75837f69cebb8b1cefae20422de0c1ea000beb      -48.00  \n",
       "8ebbbf91d0f0d5617002ef50d4738426ba4d72b2      -48.00  \n",
       "6f2b23a4e1bcf2a0aaec840d0c405f2555e0021c      -48.00  \n",
       "bbbf07f32f7cd2f97ab067f0cca7236f88d75347      -48.00  \n",
       "ba4dd0d3636f52b2c3acace3a81c55dd0ccb4a7e      -48.00  \n",
       "40c8c55d685b08a0be04a3ff12d943c00dfc1d95      -47.00  \n",
       "328125a8ff5f9d8fa2f27e87f31f825a8d84afbb      -47.00  \n",
       "5d4dffaf16d73098cf982bdb11b7c43ceae43104      -46.00  \n",
       "8a826e4e1f393df72e7860ce819b52385cb47ff7      -46.00  \n",
       "90d101797f1de9c57000613cd336854586fd7fa4      -46.00  \n",
       "069b9faa8dfdb74f280b47a0ad9ce97c73bd7d4d      -46.00  \n",
       "766d2bd690e1055b804eaae1ea439964586aa8c8      -46.00  \n",
       "2491314cee8db9dfac626a215a1efcf87fa340e7      -46.00  \n",
       "c6d5ebd4e61ff24c3d1a6860a0eeebe586ebbd4b      -45.00  \n",
       "844ef6eb6931cdb104db43fbb85318c886a6f89d      -45.00  \n",
       "66d9977c8749c1bd45ecdfe077fbabdf5012f716      -45.00  \n",
       "\n",
       "[25 rows x 27 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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