{
 "metadata": {
  "name": ""
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from ggplot import *\n",
      "import pandas as pd\n",
      "import numpy as np"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 1
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%matplotlib inline"
     ],
     "language": "python",
     "metadata": {},
     "outputs": []
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "df = pd.read_csv(\"./baseball-pitches-clean.csv\")\n",
      "df = df[['pitch_time', 'inning', 'pitcher_name', 'hitter_name', 'pitch_type', \n",
      "         'px', 'pz', 'pitch_name', 'start_speed', 'end_speed', 'type_confidence']]\n",
      "df.head()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "html": [
        "<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
        "<table border=\"1\" class=\"dataframe\">\n",
        "  <thead>\n",
        "    <tr style=\"text-align: right;\">\n",
        "      <th></th>\n",
        "      <th>pitch_time</th>\n",
        "      <th>inning</th>\n",
        "      <th>pitcher_name</th>\n",
        "      <th>hitter_name</th>\n",
        "      <th>pitch_type</th>\n",
        "      <th>px</th>\n",
        "      <th>pz</th>\n",
        "      <th>pitch_name</th>\n",
        "      <th>start_speed</th>\n",
        "      <th>end_speed</th>\n",
        "      <th>type_confidence</th>\n",
        "    </tr>\n",
        "  </thead>\n",
        "  <tbody>\n",
        "    <tr>\n",
        "      <th>0</th>\n",
        "      <td> 2013-10-01 20:07:43 -0400</td>\n",
        "      <td> 1</td>\n",
        "      <td> Francisco Liriano</td>\n",
        "      <td> Shin-Soo Choo</td>\n",
        "      <td> B</td>\n",
        "      <td> 0.628</td>\n",
        "      <td> 1.547</td>\n",
        "      <td> Fastball</td>\n",
        "      <td> 93.2</td>\n",
        "      <td> 85.3</td>\n",
        "      <td> 0.894</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>1</th>\n",
        "      <td> 2013-10-01 20:07:57 -0400</td>\n",
        "      <td> 1</td>\n",
        "      <td> Francisco Liriano</td>\n",
        "      <td> Shin-Soo Choo</td>\n",
        "      <td> S</td>\n",
        "      <td> 0.545</td>\n",
        "      <td> 3.069</td>\n",
        "      <td> Fastball</td>\n",
        "      <td> 93.4</td>\n",
        "      <td> 85.6</td>\n",
        "      <td> 0.895</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>2</th>\n",
        "      <td> 2013-10-01 20:08:12 -0400</td>\n",
        "      <td> 1</td>\n",
        "      <td> Francisco Liriano</td>\n",
        "      <td> Shin-Soo Choo</td>\n",
        "      <td> S</td>\n",
        "      <td> 0.120</td>\n",
        "      <td> 1.826</td>\n",
        "      <td>   Slider</td>\n",
        "      <td> 89.1</td>\n",
        "      <td> 82.8</td>\n",
        "      <td> 0.931</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>3</th>\n",
        "      <td> 2013-10-01 20:08:31 -0400</td>\n",
        "      <td> 1</td>\n",
        "      <td> Francisco Liriano</td>\n",
        "      <td> Shin-Soo Choo</td>\n",
        "      <td> S</td>\n",
        "      <td>-0.229</td>\n",
        "      <td> 1.667</td>\n",
        "      <td>   Slider</td>\n",
        "      <td> 90.0</td>\n",
        "      <td> 83.3</td>\n",
        "      <td> 0.926</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>4</th>\n",
        "      <td> 2013-10-01 20:09:09 -0400</td>\n",
        "      <td> 1</td>\n",
        "      <td> Francisco Liriano</td>\n",
        "      <td>  Ryan Ludwick</td>\n",
        "      <td> B</td>\n",
        "      <td>-1.917</td>\n",
        "      <td> 0.438</td>\n",
        "      <td>   Slider</td>\n",
        "      <td> 87.7</td>\n",
        "      <td> 81.6</td>\n",
        "      <td> 0.915</td>\n",
        "    </tr>\n",
        "  </tbody>\n",
        "</table>\n",
        "<p>5 rows \u00d7 11 columns</p>\n",
        "</div>"
       ],
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 3,
       "text": [
        "                  pitch_time  inning       pitcher_name    hitter_name  \\\n",
        "0  2013-10-01 20:07:43 -0400       1  Francisco Liriano  Shin-Soo Choo   \n",
        "1  2013-10-01 20:07:57 -0400       1  Francisco Liriano  Shin-Soo Choo   \n",
        "2  2013-10-01 20:08:12 -0400       1  Francisco Liriano  Shin-Soo Choo   \n",
        "3  2013-10-01 20:08:31 -0400       1  Francisco Liriano  Shin-Soo Choo   \n",
        "4  2013-10-01 20:09:09 -0400       1  Francisco Liriano   Ryan Ludwick   \n",
        "\n",
        "  pitch_type     px     pz pitch_name  start_speed  end_speed  type_confidence  \n",
        "0          B  0.628  1.547   Fastball         93.2       85.3            0.894  \n",
        "1          S  0.545  3.069   Fastball         93.4       85.6            0.895  \n",
        "2          S  0.120  1.826     Slider         89.1       82.8            0.931  \n",
        "3          S -0.229  1.667     Slider         90.0       83.3            0.926  \n",
        "4          B -1.917  0.438     Slider         87.7       81.6            0.915  \n",
        "\n",
        "[5 rows x 11 columns]"
       ]
      }
     ],
     "prompt_number": 3
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "## Getting a feel for what's going on\n",
      "\n",
      "### `geom_point`\n",
      "\n",
      "I usually start by making some really simple plots like scatterplots and histograms just to make sure that things make sense."
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "`px` and `pz` are the coordinates of a pitch as they cross home plate. Let's plot these and see if our data makes sense."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "ggplot(df, aes(x='px', y='pz')) + geom_point()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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BQYHcfLjCwkIEBQVVudevhIGBAbp27crcVlFRwbx58z46tosXL8LPzw/5+fko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\nIiIiIhLN/wNmvk8OayuC4AAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x104334b10>"
       ]
      },
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 3,
       "text": [
        "<ggplot: (272839901)>"
       ]
      }
     ],
     "prompt_number": 3
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "What about the pitch speed?"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "ggplot(aes(x='start_speed', y='end_speed'), data=df) + geom_point()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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iInJ6d+7csXptMBgwbtw4KJVKVKtWDeHh4YKSiaNQKFCtWjWMHj0af/zxB27d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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x107ea9c90>"
       ]
      },
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 4,
       "text": [
        "<ggplot: (276734237)>"
       ]
      }
     ],
     "prompt_number": 4
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "### `geom_hist`"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "A better way to inspect pitch speed might be to look at a distribution of the data.\n",
      "\n",
      "Does this make sense? Let's consult the source of all true wisdom:\n",
      "    https://answers.yahoo.com/question/index?qid=20080126131031AAwVCNk"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "ggplot(df, aes(x='start_speed')) + geom_histogram()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "stat_bin: binwidth defaulted to range/30.\n",
        "    Use 'binwidth = x' to adjust this.\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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J6uzslN/vV1NTk2pqarR3795kP0cAAACkmZuW0FmzZikrK+uWNtbT06OFCxfK7XYrFAop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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1103bbe10>"
       ]
      },
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 4,
       "text": [
        "<ggplot: (285457305)>"
       ]
      }
     ],
     "prompt_number": 4
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "What about for specific pitches?"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "for name, frame in df.groupby(\"pitch_name\"):\n",
      "    print ggplot(aes(x='start_speed'), data=frame) + geom_histogram() + ggtitle(\"Distribution of \" + str(name))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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OWJcStaSkpLj4Y+f1epWamqrm5ua46ItEb5yKvjhTvPQF+xbLHnPMOJPX641q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\nRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x112ec7390>"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "<ggplot: (288278377)>\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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vr3FmUmF/cNt+7eZ92o297ghOnQMAAMAKgiYAAACsIGgCAADACoImAAAArCBo\nAgAAwAqCJgAAAKwgaAIAAMAKgiYAAACsIGgCAADACoImAAAArCBoAgAAwAqCJgAAAKwgaAIAAMAK\ngiYAAACsIGgCAADACoImAAAArCBoAgCSJhaLdatxAHQuX7ILAAC4l8/nU0VFRYfHqaqq6oRqAHQ2\njmgCAADACoImAAAArCBoAgAAwAqCJgAAAKwgaAIAAMAKgiYAAACsIGgCAADACoImAAAArCBoAgAA\nwAqCJgAAAKwgaAIAAMAKgiYAAACsIGgCAADACoImAAAArCBoAgAAwAqCJgAAAKwgaAIAAMAKgiYA\nAACsIGgCAADACoImAAAArPCdboHKykpt27ZNmZmZuvPOOyVJzc3NWrhwofbt26fs7Gxdd9118vv9\nkqRVq1Zp/fr1chxH5eXlKioqkiTV1dWpsrJSsVhMxcXFKi8vt7hZAAAASLbTHtG84IILNH369IRp\n1dXVGjJkiGbNmqUhQ4aourpakrR7925t3LhRM2fO1PTp07V06VIZYyRJS5YsUUVFhWbNmqWPP/5Y\n27Zts7A5AAAA6C5OGzQHDRqkjIyMhGlbtmzR+eefL0kaNWqUNm/eHJ8+cuRIeb1ehUIh5eTkqLa2\nVpFIRG1tbSosLDxuHQAAAKSm0546P5GmpiZlZWVJkrKystTU1CRJikQi8TApScFgUJFIRF6vV8Fg\n8LjpkhQOh3XgwIGE8bOysuTztau0Hs3r9SotLS3ZZXSZoz12W6/d1mepZ/c6Go0muwScoWTuV27b\nr3vyPt1Rbu11u9fvaAGO43Ro/bVr12rlypUJ0yZOnKhJkyZ1aFz0HKFQKNkloIv0xF7X1dUluwSc\nodzc3GSX4Do9cZ9G12pX0MzMzFQkElEgEFAkElFmZqYkKRAIaP/+/fHlwuGwgsGgAoGAwuFwwvRA\nICBJGjNmjEpKShLGz8rKUmNjo2KxWHvK67HS09PV2tqa7DK6jM/nUygUcl2v3dZnyb29RtdqaGhI\n2mO7bb928z7t1l63e/32rFRSUqKamhpNmDBBb731loYOHRqfvmjRIpWWlioSiWjv3r0qKCiQ4zhK\nT09XbW2tCgoKVFNTo3Hjxkk6chr92NPqRzU0NLjulJXP53PdNktSLBZz1Xa7tc+S+3qNrpXM3y23\n7tdu3Kfd2uv2Om3QXLhwobZv367m5mY99thjmjRpkiZMmKAFCxZo3bp18dsbSVJeXp5GjBihp556\nSh6PR1MANvYeAAAVWElEQVSnTo2fWp86daoqKysVjUZVXFys4uJiu1sGAACApDpt0Lz22mtPOH3G\njBknnF5WVqaysrLjpufn58fvwwkAAIDUxycDAQAAwAqCJgAAAKwgaAIAAMAKgiYAAACsIGgCAADA\nCoImAAAArCBoAgAAwAqCJgAAAKwgaAIAAMAKgiYAAACsIGgCAADACoImAAAArCBoAgAAwAqCJgAA\nAKwgaAIAAMAKgiYAAACsIGgCSEmxWCzZJQCA6/mSXQAA2ODz+VRRUdHhcaqqqjqhGgBwJ45oAgAA\nwAqCJgAAAKwgaAIAAMAKgiYAAACsIGgCAADACoImAAAArCBoAgAAwAqCJgAAAKwgaAIAAMAKgiYA\nAACsIGgCAADACoImAAAArCBoAgAAwAqCJgAAAKwgaAIAAMAKgiYAAACsIGgCAADACoImAAAArCBo\nAgAAwAqCJgAAAKwgaAIAAMAKgiYAAACs8CW7gBM5ePCg0tLS5PN1y/Ks8Xg88vv9yS6jyziOo+bm\nZtf12m19lpLT65aWli55HHQfydyv3LZfu/X1W3JnrzuiW/52ZGRkKBKJKBqNJruULuX3+131xzEt\nLU3Z2dlqampyVa/d1mfJvb1G10rmfuW2/drN+7Qbe90RnDoHAACAFQRNAAAAWEHQBAAAgBUETQAA\nAFhB0AQAAIAVBE0AAABYQdAEAACAFQRNAAAAWEHQBAAAgBUETQAAAFhB0AQAAIAVBE0AAABYQdAE\nAACAFQRNAAAAWEHQBAAAgBUETQAAAFhB0AQAAIAVBE0AAABYQdAEAACAFQRNAAAAWEHQBAAAgBUE\nTQBAjxeLxbrVOACO8CW7AAAAOsrn86mioqLD41RVVXVCNQCO4ogmAAAArCBoAgAAwAqCJgAAAKwg\naAIAAMAKgiYAAACsIGgCAADACoImAAAArCBoAgAAwAqCJgAAAKwgaAIAAMAKgiYAAACsIGgCAADA\nCoImAAAArCBoAgAAwAqCJgAAAKzwdWTlxx9/XOnp6fJ4PPJ4PLr99tvV3NyshQsXat++fcrOztZ1\n110nv98vSVq1apXWr18vx3FUXl6uoqKiTtkIAAAAdD8dCpqO4+iWW25R796949Oqq6s1ZMgQTZgw\nQdXV1aqurtbll1+u3bt3a+PGjZo5c6bC4bDmzp2rb3zjG/J4OKgKAACQijo95W3ZskXnn3++JGnU\nqFHavHlzfPrIkSPl9XoVCoWUk5OjnTt3dvbDAwAAoJvo0BFNSZo7d64cx9HYsWM1ZswYNTU1KSsr\nS5KUlZWlpqYmSVIkElFhYWF8vWAwqEgk0tGHBwAAQDfVoaD5la98RYFAQE1NTZo7d6769euXMN9x\nnNOOEQ6HdeDAgYRpWVlZ8vk6nIF7HK/Xq7S0tGSX0WWO9thtvXZbn6Xk9DoajXbZYyG1tGf/dNt+\n7dbXb8m9vW73+h1ZORAISJIyMzM1bNgw7dy5U5mZmYpEIgoEAopEIsrMzIwvu3///vi64XBYwWBQ\na9eu1cqVKxPGnThxoiZNmtSR0tCDhEKhZJeALtKVva6rq+uyx0Jqyc3NTXYJPQav3ziddgfNtrY2\nGWOUnp6utrY2vffee5o4caJKSkpUU1OjCRMm6K233tLQoUMlSSUlJVq0aJFKS0sViUS0d+9eFRQU\nKBgMqqSkJGHsrKwsNTY2KhaLdWzrepj09HS1trYmu4wu4/P5FAqFXNdrt/VZcm+v0TM1NDR86nXc\ntl+7eZ92a6/bvX57V2xqatLzzz8vSTp8+LDOO+88FRUVKT8/XwsWLNC6devitzeSpLy8PI0YMUJP\nPfWUPB6Ppk6dKsdxFAwGFQwGjxu/oaHBdae+fD6f67ZZkmKxmKu22619ltzXa/RM7fkddet+7cZ9\n2q29bq92B81QKKQ77rjjuOm9e/fWjBkzTrhOWVmZysrK2vuQAAAA6EG4iSUAAACsIGgCAADACoIm\nAAAArCBoAgAAwAqCJoBuxW23SgGAVOa+W/oD6NZ8Pp8qKio6PE5VVVUnVAMA6AiOaAIAAMAKgiYA\nAACsIGgCAADACoImAAAArCBoAgAAwAqCJgAAAKwgaAIAAMAKgiYAAACsIGgCAADACoImAAAArCBo\nAgAAwAqCJgAAAKwgaAIAAMAKgiYAAACsIGgCAADACoImAAAArCBoAgAAwAqCJgAA/08sFmvXei0t\nLZ0yDpBqfMkuAACA7sLn86mioqLD41RVVXVCNUDPxxFNAAAAWEHQBAAAgBUETQAAAFhB0AQAAIAV\nBE0AAABYQdAEAACAFQRNAAAAWEHQBAAAgBUETQAAAFhB0AQAAIAVBE0AAABYQdAEAACAFQRNAAAA\nWOFLdgEAUkcsFpPPd/zLSjQaVV1dXRIqAgAkE0ETQKfx+XyqqKjo0BhVVVWdVA0AINm6ZdA8ePCg\n0tLSTnhkJJV5PB75/f5kl9FlHMdRc3Oz63qdyn1uaWlJdglAt5Gq+7nk3tdvKbVfw0/EcZwOrd8t\nfzsyMjIUiUQUjUaTXUqX8vv9rvpDnZaWpuzsbDU1Nbmq127rM+BWqbyfu/X1W3Lfa3haWlqH1udi\nIAAAAFhB0AQAAIAVBE0AAABYQdAEAACAFQRNAAAAWEHQBAAAgBUETQAAAFhB0AQAAIAVBE0AAABY\nQdAEAACAFQRNAAAAWEHQBAAAgBUETQAAOlksFusWYwDJ5kt2AQAApBqfz6eKiooOjVFVVdVJ1QDJ\nwxFNAAAAWEHQBAAAgBUETQC8FwwAYAXv0QTQKe8nk3hPGQAgEUc0AQAAYAVBEwAAAFYQNAEAAGAF\nQRMAAABWEDQBAABgBUETAAAAVhA0AQAAYAVBE+jBuNE6AKA744btQA/GjdYBAN0ZRzQBAABgBUET\nAAAAVhA0AQAAYAVBEwAAAFYQNAEAAGAFQRMAAABWEDQBAOiGOus+udxvF8nEfTSBJIjFYvL52P0A\nnBz3yUUq4C8dkAT8AQEAuAGnzgEAAGAFQRMAAABWEDQBAABgRZe+R3Pbtm165ZVXZIzR6NGjNWHC\nhK58eAAAAHShLjuiefjwYb300kuaPn26Zs6cqQ0bNqihoaGrHh7oNB29VUhLS0snVQIAp8dtkpBM\nXXZEc+fOncrJyVEoFJIknXvuudq8ebNyc3O7qgSgU3TGFeNcLQ6gq3CXCyRTlwXNcDisPn36xH8O\nBoPauXOnwuGwDhw4kLBsVlaWK+8x6PV6lZaW1qExDh48KK/X2+FaDh06pIyMjA6Pc6p6otGo6urq\nTjtGZ91zkntXAkDHHP0bdfS11I2vqZ3xt7on6WiPHWOM6aRaTuntt9/Wu+++G/+vqqamRjt37pTf\n79fKlSsTlh00aJC++MUvKhgMdkVpSJJwOKy1a9dqzJgx9DrF0Wt3oM/uQa/do6O97rJ/RQKBgPbv\n3x//ORwOKxgM6rzzzlNJSUl8ekNDgxYvXqwDBw7wy5viDhw4oJUrV6qkpIRepzh67Q702T3otXt0\ntNddFjTz8/O1d+9eNTY2KhAIaOPGjbr22msVDAb5JQUAAEhBXRY0vV6vpkyZonnz5unw4cMaPXo0\nFwIBAACksC59F29xcbGKi4u78iEBAACQJN7Zs2fPTnYRxzLGqFevXvrMZz6j9PT0ZJcDi+i1e9Br\nd6DP7kGv3aOjve6yq84BAADgLt3iBliPP/640tPT5fF45PF4dPvtt6u5uVkLFy7Uvn37lJ2dreuu\nu05+vz/ZpaIDWlpaVFVVFf9EqGuuuUY5OTn0OcXs2bNHCxcujP/c2NioSZMm6bzzzqPXKWjVqlX6\n+9//LsdxlJeXp2uuuUZtbW30OgWtXr1a69atkzFGY8aM0fjx4/lbnQIqKyu1bds2ZWZm6s4775Sk\nU/Z11apVWr9+vRzHUXl5uYqKik45frc4ovnEE0/o9ttvV+/evePTXn31VfXu3VsTJkxQdXW1Wlpa\ndPnllyexSnTU4sWLNWjQII0ePVqHDh1SNBrV66+/Tp9T2OHDh/XYY4/ptttu05o1a+h1imlsbNRz\nzz2nf/3Xf5XP59OCBQtUXFys3bt30+sU89FHH2nRokW67bbb5PV6NW/ePP3zP/+z3nzzTXrdw+3Y\nsUO9evXS4sWL40HzZBls9+7dWrRokW6//XaFw2HNnTtX3/jGN+TxnPwTzbvss84/rS1btuj888+X\nJI0aNUqbN29OckXoiIMHD2rHjh0aPXq0pCN3IcjIyKDPKe79999XTk6O+vTpQ69TUHp6urxer6LR\naPyfx0AgQK9T0J49e1RQUKC0tDR5PB4NGjRIb7/9Nr1OAYMGDTrukwBP1tctW7Zo5MiR8nq9CoVC\nysnJ0c6dO085frc4dS5Jc+fOleM4Gjt2rMaMGaOmpiZlZWVJOvKRlE1NTUmuEB3R2NiozMxMVVZW\nqr6+Xvn5+Zo8eTJ9TnEbN27UueeeK0n0OgX17t1bpaWlevzxx+Xz+VRUVKRzzjmHXqegvLw8LVu2\nTM3NzfL5fNq2bZvy8/PpdYo6WV8jkYgKCwvjywWDQUUikVOO1S2C5le+8hUFAgE1NTVp7ty56tev\nX8J8x3GSVBk6y+HDh7Vr1y5NmTJFBQUFevnll1VdXZ2wDH1OLbFYTFu3bj3haTR6nRr27t2r1atX\n69/+7d+Unp6uBQsWqKamJmEZep0acnNz9bnPfU6/+c1v1KtXL5111lnHnS6l16mpo33tFqfOA4GA\nJCkzM1PDhg3Tzp07lZmZGU/JkUhEmZmZySwRHXT0E6AKCgokScOHD9euXbuUlZVFn1PUu+++qwED\nBsR7yj6deurq6nT22Werd+/e8nq9GjZsmGpra9mvU9To0aP1ta99Tbfeeqv8fr/69u3Lfp2iTtbX\nk32c+KkkPWi2tbWptbU1/v17772nvLw8lZSUxP8zfuuttzR06NBklokOCgQCCgaD2rNnj6Qj793L\nzc3VP/3TP9HnFLVhwwaNHDky/jP7dOrp16+famtrFY1GZYxhv05xBw4ckCTt27dP77zzjkaOHMl+\nnaJO1teSkhJt3LhRsVhMjY2N2rt3b/wA0skk/arzxsZGPf/885KOnF4977zzdPHFF6u5uVkLFizQ\n/v37uWVCiqivr1dVVZUOHTqkUCika665RocPH6bPKaitrU2PP/54/JSqJPbpFFVdXa2amho5jqMB\nAwaooqJCra2t9DoFPfPMM2ppaZHH49HkyZM1ePBg9usUsHDhQm3fvl3Nzc3KysrSpEmTVFJSctK+\nvv7661q/fr08Hk/Pub0RAAAAUk/ST50DAAAgNRE0AQAAYAVBEwAAAFYQNAEAAGAFQRMAAABWEDQB\nAABgBUETAFLY7NmzdfPNNye7DAAuRdAE4BqdEbpWrFihs88+u5Mqso/PnwaQTARNADhDsVgs2SUA\nQI9C0ASQkn784x+rsLBQwWBQQ4cO1UsvvaQf/vCH+v3vf69AIKALLrhAkvTrX/9aw4cPVzAY1Dnn\nnKNf/OIX8TFWrFihwsJC/eQnP9GAAQN00003acqUKaqrq1MgEFAwGFR9ff1Ja3jjjTc0duxY9enT\nR2eddZbuvvtuSdL27dvl8Xj0y1/+UgUFBcrPz9ejjz4aX88Yox/96EcqKipSv379dMMNN6ixsTE+\nf/Xq1brooosUCoV0/vnna+XKlfF5H3zwgSZOnKhgMKgrrrhCe/bs6bTnFAA+NQMAKWbz5s3m7LPP\nNrt27TLGGLNjxw7z3nvvmdmzZ5ubb745YdmlS5ea999/3xhjzMqVK03v3r3NunXrjDHGLF++3Ph8\nPnPfffeZtrY209LSYlasWGEKCwvPqI7x48ebefPmGWOMaWpqMqtXrzbGGPPBBx8Yx3HMTTfdZJqb\nm82GDRtMbm6uee2114wxxjzxxBOmtLTU7Ny507S1tZmvfe1r5sYbbzTGGFNbW2v69u1rXn75ZWOM\nMX/6059M3759zZ49e+KPeffdd5u2tjbz+uuvm0AgcNw2A0BX4YgmgJTj9XrV2tqqTZs2KRqNauDA\ngRoyZIiMMTLGJCw7ZcoUDR48WJJUVlamK664QqtWrYrP93g8euihh5SWlqaMjIzj1j+VXr16adu2\nbdqzZ4969+6tcePGJcx/8MEH5ff7de655+rWW2/V/PnzJUlz5szRI488ovz8fKWlpenBBx/UwoUL\ndejQIc2bN09TpkzR5MmTJUmXXXaZxo4dq6VLl+rDDz/Um2++qe9973tKS0vTxRdfrKuuuupT1QwA\nnYmgCSDlFBUV6YknntDs2bPVv39/3Xjjjdq1a9cJl3355Zc1fvx49e3bV6FQSC+99JI+/vjj+Pzc\n3Fz16tWrXXX86le/0tatWzVs2DBdeOGFWrp0acL8Yy8qGjhwoOrq6iRJO3bs0L/8y78oFAopFApp\n+PDh8vl8+uijj7Rjxw4tWLAgPi8UCunPf/6z6uvrVVdXp1AoJL/fHx930KBB7aodADoDQRNASrrx\nxhu1atUq7dixQ47j6N5775XHk/iS19raqi9+8Yu65557tHv3bjU2NmrKlCkJRwA/edX2p7mKu6io\nSL/73e/U0NCge++9V9dee61aWlri8z/88MOE7wsKCiQdCZ2vvPKKGhsb41/Nzc3Kz8/XwIEDdfPN\nNyfMi0QiuueeezRgwID4skcd3X4ASAaCJoCUs3XrVi1btkytra1KT09XRkaGvF6v+vfvr+3bt8eD\nZFtbm9ra2tSvXz95PB69/PLLevXVV085dv/+/fXxxx8rHA6fto558+apoaFBktSnTx85jpMQdh95\n5BG1tLRo06ZNevbZZ3XDDTdIkr7+9a/rP/7jP+JBtKGhQVVVVZKk6dOn63/+53/06quv6tChQzp4\n8KBWrFihnTt3atCgQRo7dqwefPBBRaNRVVdXa8mSJZ/+CQSATkLQBJByWltb9Z3vfEe5ubkaMGCA\n9uzZox/+8Ie67rrrJEl9+/bV2LFjFQgE9POf/1zXX3+9cnJyNH/+fF199dUJY33yaODQoUN14403\nasiQIcrJyTnlVed//OMfde655yoQCOib3/ymnn/+eaWnp8fnT5w4UUVFRbrsssv07W9/W5dddpkk\n6a677lJFRYWuuOIKBYNBlZaW6o033pAkFRYW6sUXX9QPfvAD5eXlaeDAgXr00Ud1+PBhSdLvfvc7\nrVmzRjk5OXr44Yc1Y8aMjj+hANBOjuFd4gDQpbZv364hQ4YoFosddzofAFIJr3AAAACwgqAJAB1Q\nXl6uQCBw3NePfvSjU67HBToA3IBT5wAAALCCI5oAAACwgqAJAAAAKwiaAAAAsIKgCQAAACsImgAA\nALDi/wLsWRSz7p21kQAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x112ad0150>"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "<ggplot: (285224941)>\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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GxtNe1m77tV2P35J9e33ay5/sxblz52ru3LmSpF27dumVV17R5z//eT3//PPa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\nAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x112ec65d0>"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "<ggplot: (288277409)>\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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01yX0t2Msy9K0adNOeZz8/HyVlpY6UJHzkrUutM7n8zk2NyWxbYiBk9sDpzg9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\ncMuejL5n88YAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x115796550>"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "<ggplot: (289871437)>\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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AAIwigAIAAMAoAigAAACMIoACAADAKAIoAAAAjCKAAgAAwCgCKAAA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\nwCgCKAAAAIwigAIAAMCo/wOIOxD3y92jfgAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1169831d0>"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "<ggplot: (293071473)>\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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PHTsmp9MZVY+CsNvtio+PD3c3mpXNZlNFRQW1jnDRWmep9dW6IY/pQeha07Zw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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x117056910>"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "<ggplot: (292574941)>\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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lWOF1GT279yyqbVq6Yl1dnd544w1NmjRJycnJEcscDkf432vXrlVhYWHE8rFj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\nAAAYERYBAABg9P8ANFYEfwvxG6EAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x113eb7c10>"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "<ggplot: (289870441)>\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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AAABGEDQBAABgBEETAAAARhA0AQAAYARBEwAAAEYQNAEAAGAEQRMAAABGEDQBAABgBEET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\ngqAJAAAAIwiaAAAAMIKgCQAAACP+F8vE4aOPY2FzAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x116322350>"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "<ggplot: (291709497)>\n"
       ]
      }
     ],
     "prompt_number": 5
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "That was helpful but I'm sort of on plot overload now."
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "### `facet_wrap` FTW\n",
      "__Use the trellis__.\n",
      "\n",
      "\"Trellis Graphics is a family of techniques for viewing complex, multi-variable data sets.\"\n",
      "[Read more here](https://www.stat.auckland.ac.nz/~ihaka/787/lectures-trellis.pdf)."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "ggplot(aes(x='start_speed'), data=df) +\\\n",
      "    geom_histogram() +\\\n",
      "    facet_wrap('pitch_name')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "/usr/local/Cellar/python/2.7.5/Frameworks/Python.framework/Versions/2.7/lib/python2.7/site-packages/ggplot-0.5.9-py2.7.egg/ggplot/ggplot.py:198: RuntimeWarning: Facetting is currently not supported with geom_bar. See\n",
        "                    https://github.com/yhat/ggplot/issues/196 for more information\n",
        "  warnings.warn(msg, RuntimeWarning)\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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IsC1CCNHw6PV6GYarkZErmUIzFZ3Bqm8iQgghhGh83PJKpi3DP1Sm5RAA1XH0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\nSURERERe9z+kxWtJD3X0sQAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x11705a310>"
       ]
      },
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 6,
       "text": [
        "<ggplot: (292575897)>"
       ]
      }
     ],
     "prompt_number": 6
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "### Changeup, Curveball, Cut Fastball, Eephus....Wait, what?"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "http://en.wikipedia.org/wiki/Eephus_pitch"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "from IPython.display import YouTubeVideo\n",
      "YouTubeVideo(\"ikLlRT2j7EQ\")"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "html": [
        "\n",
        "        <iframe\n",
        "            width=\"400\"\n",
        "            height=300\"\n",
        "            src=\"http://www.youtube.com/embed/ikLlRT2j7EQ\"\n",
        "            frameborder=\"0\"\n",
        "            allowfullscreen\n",
        "        ></iframe>\n",
        "        "
       ],
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 15,
       "text": [
        "<IPython.lib.display.YouTubeVideo at 0x113f87490>"
       ]
      }
     ],
     "prompt_number": 15
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Ok so what about balls and strikes."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "ggplot(aes(x='pitch_type'), data=df) + geom_bar()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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PT0+PKioqdOrUKa1du1bSpdvon7ytLl26+pKvW3w+n4/biTmUTqf5/c0B5hZL1Wxzydzm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\nEZgAAAAwisAEAACAUf8HHoGQO+C25NIAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x101e60ad0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 8,
       "text": [
        "<ggplot: (275730281)>"
       ]
      }
     ],
     "prompt_number": 8
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "### `facet_grid`\n",
      "(facet_wraps brother)"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "ggplot(aes(x='start_speed'), data=df) +\\\n",
      "    geom_histogram() +\\\n",
      "    facet_grid('pitch_type')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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XfjQAAADw3IbuIjcMw606bpJKpTQ3N7dmWyaTUTgc3rR9bja/37/mX9yeaZoK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\nAICp/h/h5WIC9uy0fAAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x107d664d0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 9,
       "text": [
        "<ggplot: (276653609)>"
       ]
      }
     ],
     "prompt_number": 9
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "ggplot(aes(x='start_speed'), data=df) +\\\n",
      "    geom_histogram() +\\\n",
      "    facet_grid('pitch_name', 'pitch_type', scales=\"free\")"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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49NFHAVyvcLRkyRIMHTrUa4WjTp06SZMJKQYvpxOJx3rtRKR0w4cPb7HMMc3S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BP9RuOEtLYrc23Pp+UE2bbni7Z1qjVOMq+tUG9rd18qauuM6zRwMnz3ANG7rblOxa2f+vp69OrV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\n5WT9RB6Z6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       "text": [
        "<matplotlib.figure.Figure at 0x1097fb710>"
       ]
      },
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 12,
       "text": [
        "<ggplot: (271338625)>"
       ]
      }
     ],
     "prompt_number": 12
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "### `geom_density`\n",
      "Similar to `geom_histogram` but relative y scale."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "ggplot(df, aes(x='start_speed')) +\\\n",
      "    geom_density()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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UWFiorKws01ESiqf0INEolwAAxCDdbkMUwe2IkGiUSwAAYrB3717NmDHDdIyE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\nwBL79+/Xf/3Xf+nJJ5/k0Y4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GLZdFRUVqbW1VW1ubcnNzVVtbq+XLl0dtU15ers2bN2vu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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1096e7cd0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 13,
       "text": [
        "<ggplot: (275662825)>"
       ]
      }
     ],
     "prompt_number": 13
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "ggplot(df, aes(x='start_speed', color='pitch_name')) +\\\n",
      "    geom_density()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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cx4WFhZGXl0dZWVlzNwWn00lRUVFzNwOHw0FMTAwFBQXqlxO0tH4B9U11Gqtf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\n7BoAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1094bb190>"
       ]
      },
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 14,
       "text": [
        "<ggplot: (278182857)>"
       ]
      }
     ],
     "prompt_number": 14
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": []
    }
   ],
   "metadata": {}
  }
 ]
}