{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Project 2: Investigate a Dataset\n",
    "\n",
    "## Lahman Baseball Database\n",
    "\n",
    "## Data Wrangling and Exploration\n",
    "\n",
    "Since the publication of Michael Lewis's *Moneyball* in 2003, there has been an explosion of interest in the field of sabermetrics. Sabermetrics involves the application of statistical analysis on baseball data to identify players with high-performance potential who may have otherwise gone unnoticed, thus will not command a salary as high as that of more well-known names.\n",
    "\n",
    "**Data Source:** [Lahman Baseball Database](http://www.seanlahman.com/baseball-archive/statistics/) is a comprehensive record of batting and pitching statistics from 1871 to 2016. It also contains fielding statistics, standings, team stats, managerial records, post-season data, and some other data points.\n",
    "\n",
    " Taking inspiration from Moneyball, this study aims to mine the relationship between various player statistics, salaries, and team performance. This report is divided into the following sections.\n",
    "\n",
    "1. Analysing Performance Metrics \n",
    "2. Offence vs. Defence for Match-Winning\n",
    "3. Pitcher Salary"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Section 1: Analysing Performance Metrics\n",
    "\n",
    "**What is the relationship between On-Base Percentage (OBP), Slugging Percentage (SLG), Walks plus Hits per Innings Pitched (WHIP), Payroll and Team Performance?**\n",
    "\n",
    "The response variable, *team performance* is measured as the percentage of games won per season. \n",
    "The explanatory variables of choice are OBP, SLG, WHIP, and Payroll. \n",
    "\n",
    "A chosen model for this statistical problem is Linear Regression (which has been summarized below).\n",
    "\n",
    "If there are $k$ explanatory variables, the regression equation model is $y = \\beta_{0} + \\beta_{1}x_{1} + \\beta_{2}x_{2} + ... + \\beta_{k}x_{k} + \\epsilon.$\n",
    "\n",
    "The $x_{1}, x_{2}, ..., x_{k}$ represent the $k$ explanatory variables. $\\beta_{0}$ is the y-intercept, or constant, $\\beta_{1}$ is the coefficient on the first explanatory variable, $\\beta_{2}$ is the coefficient on the second explanatory variable, and so on. $\\epsilon$ is the error term or the residual that can't be explained by the model.\n",
    "\n",
    "Based on the above, four null hypotheses are formulated, each stating that the coefficient of the respective variable equals zero, i.e., this explanatory variable does not have an impact on the response variable, *Winning Percentage*. \n",
    "\n",
    "$H_{0}$ : $\\beta_{OBP}= 0$ \n",
    "\n",
    "$H_{0}$ : $\\beta_{SLG}= 0$ \n",
    "\n",
    "$H_{0}$ : $\\beta_{WHIP}= 0$ \n",
    "\n",
    "$H_{0}$ : $\\beta_{Payroll}= 0$ \n",
    "\n",
    "The alternative hypotheses then are:\n",
    "\n",
    "$H_{a}$ : $\\beta_{OBP}\\neq 0$ \n",
    "\n",
    "$H_{a}$ : $\\beta_{SLG}\\neq 0$ \n",
    "\n",
    "$H_{a}$ : $\\beta_{WHIP}\\neq 0$ \n",
    "\n",
    "$H_{a}$ : $\\beta_{Payroll}\\neq 0$ "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "\n",
    "np.seterr(invalid='ignore');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Function to load CSVs\n",
    "def load(data_file):\n",
    "    \"\"\"This function loads the CSVs as a dataframe.\n",
    "    The CSVs should be stored in a folder named 'data'.\n",
    "    \"\"\"\n",
    "    return pd.read_csv('data/' + data_file)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Creating a master DataFrame\n",
    "master = load('Teams.csv')\n",
    "\n",
    "# Subsetting - Salary data is only available after 1985\n",
    "master = master[master['yearID'] >= 1985]\n",
    "\n",
    "# Adding winning_percentage to DF\n",
    "master['winning_percentage'] = (master['W']/master['G']) * 100\n",
    "\n",
    "# Resetting the index to integer index\n",
    "master = master.reset_index(drop=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**On-Base Percentage:** On-Base Percentage (OBP) measures the how much a player can make a not-out. Players with high on-base percentages tend to reach base at a high rate, prolonging games and giving their team more opportunities to score.\n",
    "\n",
    "Source: [fangraphs.com](https://fangraphs.com)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 918 entries, 0 to 917\n",
      "Data columns (total 50 columns):\n",
      "yearID                918 non-null int64\n",
      "lgID                  918 non-null object\n",
      "teamID                918 non-null object\n",
      "franchID              918 non-null object\n",
      "divID                 918 non-null object\n",
      "Rank                  918 non-null int64\n",
      "G                     918 non-null int64\n",
      "Ghome                 918 non-null float64\n",
      "W                     918 non-null int64\n",
      "L                     918 non-null int64\n",
      "DivWin                890 non-null object\n",
      "WCWin                 654 non-null object\n",
      "LgWin                 890 non-null object\n",
      "WSWin                 890 non-null object\n",
      "R                     918 non-null int64\n",
      "AB                    918 non-null int64\n",
      "H                     918 non-null int64\n",
      "2B                    918 non-null int64\n",
      "3B                    918 non-null int64\n",
      "HR                    918 non-null int64\n",
      "BB                    918 non-null int64\n",
      "SO                    918 non-null float64\n",
      "SB                    918 non-null float64\n",
      "CS                    918 non-null float64\n",
      "HBP                   510 non-null float64\n",
      "SF                    510 non-null float64\n",
      "RA                    918 non-null int64\n",
      "ER                    918 non-null int64\n",
      "ERA                   918 non-null float64\n",
      "CG                    918 non-null int64\n",
      "SHO                   918 non-null int64\n",
      "SV                    918 non-null int64\n",
      "IPouts                918 non-null int64\n",
      "HA                    918 non-null int64\n",
      "HRA                   918 non-null int64\n",
      "BBA                   918 non-null int64\n",
      "SOA                   918 non-null int64\n",
      "E                     918 non-null int64\n",
      "DP                    918 non-null float64\n",
      "FP                    918 non-null float64\n",
      "name                  918 non-null object\n",
      "park                  918 non-null object\n",
      "attendance            918 non-null float64\n",
      "BPF                   918 non-null int64\n",
      "PPF                   918 non-null int64\n",
      "teamIDBR              918 non-null object\n",
      "teamIDlahman45        918 non-null object\n",
      "teamIDretro           918 non-null object\n",
      "winning_percentage    918 non-null float64\n",
      "OBP                   510 non-null float64\n",
      "dtypes: float64(12), int64(25), object(13)\n",
      "memory usage: 358.7+ KB\n"
     ]
    }
   ],
   "source": [
    "master['OBP'] = (master['H'] + master['BB'] + master['HBP']) \\\n",
    "                /(master['AB'] + master['BB'] + master['HBP'] + master['SF'])\n",
    "\n",
    "master.info()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "By looking at *master_df.info()*, it can be noted that there are only 510 values for *HBP* and *SF*, and thus for *OBP* too. \n",
    "\n",
    "This can be explained via the following."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Numver of missing values: 408\n",
      "{1985, 1986, 1987, 1988, 1989, 1990, 1991, 1992, 1993, 1994, 1995, 1996, 1997, 1998, 1999}\n"
     ]
    }
   ],
   "source": [
    "HBP_SF_missing = master[(master['HBP'].isnull()) | \\\n",
    "                           (master['SF'].isnull())]['yearID']\n",
    "print(\"Number of missing values: \" + str(HBP_SF_missing.size))\n",
    "print(set(HBP_SF_missing))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "From 1985 to 1992, MLB had 26 teams.  \n",
    "From 1993 to 1997, 28 teams.  \n",
    "From 1998, 30 teams.  \n",
    "\n",
    "Hence, 8*26 + 5*28 + 2*30 = 408 missing values.\n",
    "This logic exactly matches the number of missing values."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "*Batting.csv* consists of individual batting statistics. These can be used to fill-in the missing values."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "Int64Index: 918 entries, 0 to 917\n",
      "Data columns (total 54 columns):\n",
      "2B                    918 non-null int64\n",
      "3B                    918 non-null int64\n",
      "AB                    918 non-null int64\n",
      "BB                    918 non-null int64\n",
      "BBA                   918 non-null int64\n",
      "BPF                   918 non-null int64\n",
      "CG                    918 non-null int64\n",
      "CS                    918 non-null float64\n",
      "DP                    918 non-null float64\n",
      "DivWin                890 non-null object\n",
      "E                     918 non-null int64\n",
      "ER                    918 non-null int64\n",
      "ERA                   918 non-null float64\n",
      "FP                    918 non-null float64\n",
      "G                     918 non-null int64\n",
      "GIDP                  408 non-null float64\n",
      "Ghome                 918 non-null float64\n",
      "H                     918 non-null int64\n",
      "HA                    918 non-null int64\n",
      "HBP                   918 non-null float64\n",
      "HR                    918 non-null int64\n",
      "HRA                   918 non-null int64\n",
      "IBB                   408 non-null float64\n",
      "IPouts                918 non-null int64\n",
      "L                     918 non-null int64\n",
      "LgWin                 890 non-null object\n",
      "OBP                   918 non-null float64\n",
      "PPF                   918 non-null int64\n",
      "R                     918 non-null int64\n",
      "RA                    918 non-null int64\n",
      "RBI                   408 non-null float64\n",
      "Rank                  918 non-null int64\n",
      "SB                    918 non-null float64\n",
      "SF                    918 non-null float64\n",
      "SH                    408 non-null float64\n",
      "SHO                   918 non-null int64\n",
      "SO                    918 non-null float64\n",
      "SOA                   918 non-null int64\n",
      "SV                    918 non-null int64\n",
      "W                     918 non-null int64\n",
      "WCWin                 654 non-null object\n",
      "WSWin                 890 non-null object\n",
      "attendance            918 non-null float64\n",
      "divID                 918 non-null object\n",
      "franchID              918 non-null object\n",
      "lgID                  918 non-null object\n",
      "name                  918 non-null object\n",
      "park                  918 non-null object\n",
      "teamID                918 non-null object\n",
      "teamIDBR              918 non-null object\n",
      "teamIDlahman45        918 non-null object\n",
      "teamIDretro           918 non-null object\n",
      "winning_percentage    918 non-null float64\n",
      "yearID                918 non-null int64\n",
      "dtypes: float64(16), int64(25), object(13)\n",
      "memory usage: 394.5+ KB\n"
     ]
    }
   ],
   "source": [
    "batting = load('Batting.csv')\n",
    "\n",
    "# Values for 1985 to 1999\n",
    "batting = batting[(batting['yearID'] >=1985) & (batting['yearID'] < 2000)]\n",
    "\n",
    "# Group by team and year\n",
    "batting_totals = batting.groupby(['teamID', 'yearID']).sum()\n",
    "#print(len(batting_totals))\n",
    "\n",
    "# Calculate On-Base Percentage\n",
    "batting_totals['OBP'] = (batting_totals['H'] + batting_totals['BB'] + batting_totals['HBP'])\\\n",
    "                        /(batting_totals['AB'] + batting_totals['BB'] + batting_totals['HBP'] + batting_totals['SF'])\n",
    "\n",
    "# Reshaping the DataFrame\n",
    "batting_totals.drop(['G', 'stint'], 1, inplace=True)\n",
    "batting_totals = batting_totals.reset_index()\n",
    "batting_totals.sort_values(['yearID', 'teamID'], inplace=True)\n",
    "batting_totals = batting_totals.reset_index(drop=True)\n",
    "\n",
    "# Merge the DataFrame\n",
    "master = master.combine_first(batting_totals)\n",
    "master.info()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There are still missing values for some of the attributes. Although, it is not necessary to work them out as they are not required for this analysis. Hence, *master* DataFrame can be left as it is."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Slugging Percentage:** Slugging Percentage (SLG) represents the total number of bases a players records per at-bat. \n",
    "\n",
    "Unlike on-base percentage, slugging percentage deals only with hits and does not include walks and hit-by-pitches in its equation. Slugging percentage exists mainly as a response to a noticeable flaw in batting average: *not all hits are created equal*. In batting average, a single and a home run are valued the same. Slugging percenage counts home-runs four times as much as a single. \n",
    "\n",
    "Source: [mlb.com](https://mlb.com)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Calculating and adding SLG to master DataFrame\n",
    "master['SLG'] = (master['H'] + master['2B'] + 2*master['3B'] + 3*master['HR'])\\\n",
    "                /(master['AB'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**WHIP:** WHIP is one of the most commonly used statistic for evaluating a pitcher's performance. The statistics shows how well a pitcher has kept runners off the basepaths, one his main goals.\n",
    "\n",
    "The formula is described as: the sum of pitcher's walks and hits, divided by his totals innings pitched. \n",
    "\n",
    "Source: [mlb.com](https://mlb.com)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>2B</th>\n",
       "      <th>3B</th>\n",
       "      <th>AB</th>\n",
       "      <th>BB</th>\n",
       "      <th>BBA</th>\n",
       "      <th>BPF</th>\n",
       "      <th>CG</th>\n",
       "      <th>CS</th>\n",
       "      <th>DP</th>\n",
       "      <th>DivWin</th>\n",
       "      <th>...</th>\n",
       "      <th>name</th>\n",
       "      <th>park</th>\n",
       "      <th>teamID</th>\n",
       "      <th>teamIDBR</th>\n",
       "      <th>teamIDlahman45</th>\n",
       "      <th>teamIDretro</th>\n",
       "      <th>winning_percentage</th>\n",
       "      <th>yearID</th>\n",
       "      <th>SLG</th>\n",
       "      <th>WHIP</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>213</td>\n",
       "      <td>28</td>\n",
       "      <td>5526</td>\n",
       "      <td>553</td>\n",
       "      <td>642</td>\n",
       "      <td>105</td>\n",
       "      <td>9</td>\n",
       "      <td>52.0</td>\n",
       "      <td>197.0</td>\n",
       "      <td>N</td>\n",
       "      <td>...</td>\n",
       "      <td>Atlanta Braves</td>\n",
       "      <td>Atlanta-Fulton County Stadium</td>\n",
       "      <td>ATL</td>\n",
       "      <td>ATL</td>\n",
       "      <td>ATL</td>\n",
       "      <td>ATL</td>\n",
       "      <td>40.740741</td>\n",
       "      <td>1985</td>\n",
       "      <td>0.363011</td>\n",
       "      <td>1.478380</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>234</td>\n",
       "      <td>22</td>\n",
       "      <td>5517</td>\n",
       "      <td>604</td>\n",
       "      <td>568</td>\n",
       "      <td>97</td>\n",
       "      <td>32</td>\n",
       "      <td>43.0</td>\n",
       "      <td>168.0</td>\n",
       "      <td>N</td>\n",
       "      <td>...</td>\n",
       "      <td>Baltimore Orioles</td>\n",
       "      <td>Memorial Stadium</td>\n",
       "      <td>BAL</td>\n",
       "      <td>BAL</td>\n",
       "      <td>BAL</td>\n",
       "      <td>BAL</td>\n",
       "      <td>51.552795</td>\n",
       "      <td>1985</td>\n",
       "      <td>0.429763</td>\n",
       "      <td>1.435179</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>292</td>\n",
       "      <td>31</td>\n",
       "      <td>5720</td>\n",
       "      <td>562</td>\n",
       "      <td>540</td>\n",
       "      <td>104</td>\n",
       "      <td>35</td>\n",
       "      <td>27.0</td>\n",
       "      <td>161.0</td>\n",
       "      <td>N</td>\n",
       "      <td>...</td>\n",
       "      <td>Boston Red Sox</td>\n",
       "      <td>Fenway Park II</td>\n",
       "      <td>BOS</td>\n",
       "      <td>BOS</td>\n",
       "      <td>BOS</td>\n",
       "      <td>BOS</td>\n",
       "      <td>49.693252</td>\n",
       "      <td>1985</td>\n",
       "      <td>0.429196</td>\n",
       "      <td>1.387406</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>215</td>\n",
       "      <td>31</td>\n",
       "      <td>5442</td>\n",
       "      <td>648</td>\n",
       "      <td>514</td>\n",
       "      <td>100</td>\n",
       "      <td>22</td>\n",
       "      <td>51.0</td>\n",
       "      <td>202.0</td>\n",
       "      <td>N</td>\n",
       "      <td>...</td>\n",
       "      <td>California Angels</td>\n",
       "      <td>Anaheim Stadium</td>\n",
       "      <td>CAL</td>\n",
       "      <td>CAL</td>\n",
       "      <td>CAL</td>\n",
       "      <td>CAL</td>\n",
       "      <td>55.555556</td>\n",
       "      <td>1985</td>\n",
       "      <td>0.385888</td>\n",
       "      <td>1.350034</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>247</td>\n",
       "      <td>37</td>\n",
       "      <td>5470</td>\n",
       "      <td>471</td>\n",
       "      <td>569</td>\n",
       "      <td>104</td>\n",
       "      <td>20</td>\n",
       "      <td>56.0</td>\n",
       "      <td>152.0</td>\n",
       "      <td>N</td>\n",
       "      <td>...</td>\n",
       "      <td>Chicago White Sox</td>\n",
       "      <td>Comiskey Park</td>\n",
       "      <td>CHA</td>\n",
       "      <td>CHW</td>\n",
       "      <td>CHA</td>\n",
       "      <td>CHA</td>\n",
       "      <td>52.147239</td>\n",
       "      <td>1985</td>\n",
       "      <td>0.392139</td>\n",
       "      <td>1.364576</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 56 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "    2B  3B    AB   BB  BBA  BPF  CG    CS     DP DivWin    ...     \\\n",
       "0  213  28  5526  553  642  105   9  52.0  197.0      N    ...      \n",
       "1  234  22  5517  604  568   97  32  43.0  168.0      N    ...      \n",
       "2  292  31  5720  562  540  104  35  27.0  161.0      N    ...      \n",
       "3  215  31  5442  648  514  100  22  51.0  202.0      N    ...      \n",
       "4  247  37  5470  471  569  104  20  56.0  152.0      N    ...      \n",
       "\n",
       "                name                           park  teamID  teamIDBR  \\\n",
       "0     Atlanta Braves  Atlanta-Fulton County Stadium     ATL       ATL   \n",
       "1  Baltimore Orioles               Memorial Stadium     BAL       BAL   \n",
       "2     Boston Red Sox                 Fenway Park II     BOS       BOS   \n",
       "3  California Angels                Anaheim Stadium     CAL       CAL   \n",
       "4  Chicago White Sox                  Comiskey Park     CHA       CHW   \n",
       "\n",
       "   teamIDlahman45  teamIDretro  winning_percentage  yearID       SLG      WHIP  \n",
       "0             ATL          ATL           40.740741    1985  0.363011  1.478380  \n",
       "1             BAL          BAL           51.552795    1985  0.429763  1.435179  \n",
       "2             BOS          BOS           49.693252    1985  0.429196  1.387406  \n",
       "3             CAL          CAL           55.555556    1985  0.385888  1.350034  \n",
       "4             CHA          CHA           52.147239    1985  0.392139  1.364576  \n",
       "\n",
       "[5 rows x 56 columns]"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Calcuating and adding WHIP to master DataFrame\n",
    "master['WHIP'] = (master['BBA'] + master['HA'])/(master['IPouts']/3)\n",
    "# Innings Pitched = IPouts (Innings Pitched Outs)/3\n",
    "master.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Payroll:** These statistics are related to player salaries from the year 1985 onwards. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 26428 entries, 0 to 26427\n",
      "Data columns (total 5 columns):\n",
      "yearID      26428 non-null int64\n",
      "teamID      26428 non-null object\n",
      "lgID        26428 non-null object\n",
      "playerID    26428 non-null object\n",
      "salary      26428 non-null int64\n",
      "dtypes: int64(2), object(3)\n",
      "memory usage: 1.0+ MB\n"
     ]
    }
   ],
   "source": [
    "# Salaries.csv contains individual salary data from 1985\n",
    "salaries = load('Salaries.csv')\n",
    "salaries.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th>salary</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>teamID</th>\n",
       "      <th>yearID</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th rowspan=\"8\" valign=\"top\">ANA</th>\n",
       "      <th>1997</th>\n",
       "      <td>31135472</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1998</th>\n",
       "      <td>41281000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1999</th>\n",
       "      <td>55388166</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000</th>\n",
       "      <td>51464167</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2001</th>\n",
       "      <td>47535167</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2002</th>\n",
       "      <td>61721667</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2003</th>\n",
       "      <td>79031667</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2004</th>\n",
       "      <td>100534667</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"2\" valign=\"top\">ARI</th>\n",
       "      <th>1998</th>\n",
       "      <td>32347000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1999</th>\n",
       "      <td>68703999</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                  salary\n",
       "teamID yearID           \n",
       "ANA    1997     31135472\n",
       "       1998     41281000\n",
       "       1999     55388166\n",
       "       2000     51464167\n",
       "       2001     47535167\n",
       "       2002     61721667\n",
       "       2003     79031667\n",
       "       2004    100534667\n",
       "ARI    1998     32347000\n",
       "       1999     68703999"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Get payroll of each team\n",
    "# Sum up the individual salaries for each season\n",
    "payroll = salaries.groupby(['teamID', 'yearID']).sum()\n",
    "payroll.head(10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Join the obtained DF with master DF\n",
    "master = master.join(payroll, on=['teamID', 'yearID'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Winning games with a payroll of a million dollars had a very different significance in 1985 than in 2017. To get comparable data, the data has been normalized using the approach: http://stats.stackexchange.com/questions/70801/how-to-normalize-data-to-0-1-range\n",
    "\n",
    "An alternative approach is to use [preprocessing scaling](http://scikit-learn.org/stable/modules/generated/sklearn.preprocessing.scale.html) via sk-learn. Although, it hasn't been implemented."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Renaming salary column\n",
    "master.rename(columns={'salary':'payroll'}, inplace=True)\n",
    "\n",
    "# Adding normalized payroll to master DF\n",
    "master['norm_payroll'] = pd.Series()\n",
    "grouped = master.groupby('yearID')\n",
    "for name, group in grouped:\n",
    "    master['norm_payroll'].update((group['payroll'] - group['payroll'].min())\\\n",
    "                                     /(group['payroll'].max() - group['payroll'].min()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Correlation Plots\n",
    "def corr_plot(xv, yv, title):\n",
    "    runs_wins_plot = sns.regplot(x=xv, y=yv, scatter_kws={'alpha':0.25})\n",
    "    runs_wins_plot.set_title(title, fontsize=13)\n",
    "    plt.show()\n",
    "    print(\"Pearson's Correlation Coefficient (r) = \" + str(xv.corr(yv)))\n",
    "    print('\\n')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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hq1NIxiS8NjyLsWkvvrivQ8H61cm29qt+n4GurhgmZvPQDBuyyKEnFS1rfzSj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\nEg876/uN6tvp1J+NU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h8+jB//+Me45557cOutt8JmRuyeYKfdQ9FoFNls1vu/ZVmQpPLJ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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1161ea9e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Pearson's Correlation Coefficient (r) = 0.475914312431\n",
      "\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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Gzjd8TcJjmszJmCoomM6rYBgKCZGFyLN4JCvhoFXJpuzNwetQsVYMoGgmJnIy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5YbzF6Tu/tjtDs2FEUEYiCOkbJ5qTI7TpYWlFehz6Pk5Nhuj0pfoPNY8k4yx9oZulM0pACjCp1V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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x111aa5908>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Pearson's Correlation Coefficient (r) = 0.403894886852\n",
      "\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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FgcgceaAnz4GePD/41UHOPLWN7Vs6WT0ueM0HKpZLpVrvPBnTSMQUCmV72dVz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11423ea58>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Pearson's Correlation Coefficient (r) = -0.574334368196\n",
      "\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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bcanmu+Nqe2Zhf9QyjRXoS8oYSMdQzKvQTbtqTfQnZSAmIlfU8dy2iaZ9/1GN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\nZyavBVZM8jOZU6vKXFKaKWX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dbAR/Pjh9GWzG50zxWnA4DkjFJSh8uN+W/nYiW8bOsQJM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\ns44LWw286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qp8yLaQ+eN0P9vlD6GsNPnXSu2jEtSTVtd4ECmdLua0C+lRXnf74CxL/jBy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\nC63uHaCxyNEAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x114d6aa90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Pearson's Correlation Coefficient (r) = 0.330886122355\n",
      "\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# Plots as desribed below\n",
    "corr_plot(master['OBP'], master['winning_percentage'], 'OBP vs. Winning-Percentage')\n",
    "corr_plot(master['SLG'], master['winning_percentage'], 'SLG vs. Winning-Percentage')\n",
    "corr_plot(master['WHIP'], master['winning_percentage'], 'WHIP vs. Winning-Percentage')\n",
    "corr_plot(master['norm_payroll'], master['winning_percentage'], 'Payroll vs. Winning-Percentage')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**OBP and SLG are positively correlated with winning percentage. The strength of the correlation is decent. WHIP is negatively correlated with a high strength of association.** These meet the intuitive expectations.\n",
    "\n",
    "**Payroll is mildly associated with winning games.** This inference might be counter-intuitive (or intuitive, if familiar with the ideology of Moneyball). However, money has always been a significant factor in team building. Hence, further examination has been done for this variable."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                            OLS Regression Results                            \n",
      "==============================================================================\n",
      "Dep. Variable:     winning_percentage   R-squared:                       0.777\n",
      "Model:                            OLS   Adj. R-squared:                  0.776\n",
      "Method:                 Least Squares   F-statistic:                     787.1\n",
      "Date:                Tue, 06 Jun 2017   Prob (F-statistic):          2.29e-292\n",
      "Time:                        22:54:52   Log-Likelihood:                -2353.4\n",
      "No. Observations:                 907   AIC:                             4717.\n",
      "Df Residuals:                     902   BIC:                             4741.\n",
      "Df Model:                           4                                         \n",
      "Covariance Type:            nonrobust                                         \n",
      "================================================================================\n",
      "                   coef    std err          t      P>|t|      [95.0% Conf. Int.]\n",
      "--------------------------------------------------------------------------------\n",
      "Intercept       29.0634      2.749     10.571      0.000        23.668    34.459\n",
      "OBP            210.6216     12.043     17.489      0.000       186.986   234.257\n",
      "SLG             63.4508      5.873     10.804      0.000        51.925    74.977\n",
      "WHIP           -54.8785      1.216    -45.116      0.000       -57.266   -52.491\n",
      "norm_payroll     1.9320      0.440      4.391      0.000         1.069     2.795\n",
      "==============================================================================\n",
      "Omnibus:                        0.995   Durbin-Watson:                   2.173\n",
      "Prob(Omnibus):                  0.608   Jarque-Bera (JB):                1.061\n",
      "Skew:                           0.042   Prob(JB):                        0.588\n",
      "Kurtosis:                       2.855   Cond. No.                         221.\n",
      "==============================================================================\n",
      "\n",
      "Warnings:\n",
      "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n"
     ]
    }
   ],
   "source": [
    "# A Ordinary Least Squares (OLS) regression is applied.\n",
    "# All variables are included in the regression model.\n",
    "\n",
    "import statsmodels.api as sm\n",
    "import statsmodels.formula.api as smf\n",
    "\n",
    "result = smf.ols(formula='winning_percentage ~ OBP + SLG + WHIP + norm_payroll',\\\n",
    "                data=master).fit()\n",
    "print(result.summary())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "There's more to multiple regression (e.g., verification of the fit by checking the residual plots) that could've been performed. As the statistical analysis is not the key aspect of this exercise, it has been kept minimal.\n",
    "\n",
    "The p-value for each variable tests the null hypothesis that the coefficient is equal to zero (the variable does not affect the response variable). **A low p-value (< 0.05) indicates that the null hypothesis can be rejected.**\n",
    "\n",
    "Hence, all explanatory variables are meaningful additions to the model - all their p-values are 0.000. Even at $\\alpha$ = 0.01 level of significance, the null hypothesis for each explanatory variable can be rejected.\n",
    "\n",
    "*An r-squared value of 0.779 indicates that our model explains 78% of the variability of the response data.* It does a decent job of explaining wins."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Section 2: Strategic Factors for Winning Games\n",
    "\n",
    "1. How to the number of strike-outs correlate with the number of games won?\n",
    "3. Defense vs. Offense for winning games."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Helper functions\n",
    "def corrected_standard_error(x):\n",
    "    return (x-x.mean())/x.std(ddof=0)\n",
    "\n",
    "def correlation(x, y):\n",
    "    std_x = corrected_standard_error(x)\n",
    "    std_y = corrected_standard_error(y)\n",
    "    return (std_x*std_y).mean()\n",
    "\n",
    "def add_win_percentage_to_df(df):\n",
    "    \"\"\"Calculate win-%age & add attribute to data frame.\n",
    "    \"\"\"\n",
    "    df['winPercent'] = df['W']/(df['W'] + df['L'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "*Teams.csv* contains team level statistics. This dataset will be useful in answering the questions about the correlation between losses and errors. In addition, winning statistics can be combined with *Salaries.csv* dataset to be able to answer the objective questions.\n",
    "\n",
    "*Salaries.csv* shows the player's salary, year and the team they were associated with. This data however is available only from the year 1985 onwards. Therefore, data prior to 1985 has been ignored."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>yearID</th>\n",
       "      <th>winPercent</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>2835.000000</td>\n",
       "      <td>2835.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>1955.681834</td>\n",
       "      <td>0.498295</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>41.767356</td>\n",
       "      <td>0.095128</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>1871.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>1920.000000</td>\n",
       "      <td>0.440969</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>1964.000000</td>\n",
       "      <td>0.506024</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>1993.000000</td>\n",
       "      <td>0.561728</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>2016.000000</td>\n",
       "      <td>0.898734</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            yearID   winPercent\n",
       "count  2835.000000  2835.000000\n",
       "mean   1955.681834     0.498295\n",
       "std      41.767356     0.095128\n",
       "min    1871.000000     0.000000\n",
       "25%    1920.000000     0.440969\n",
       "50%    1964.000000     0.506024\n",
       "75%    1993.000000     0.561728\n",
       "max    2016.000000     0.898734"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "teams = load('Teams.csv')\n",
    "add_win_percentage_to_df(teams)\n",
    "win_percent = teams[['yearID', 'teamID', 'winPercent']]\n",
    "win_percent.describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The *Teams.csv* file has a number of fields that are empty for strike-outs, or set to 0. Those rows have been excluded for this part of the analysis."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-0.021926633465456143\n"
     ]
    }
   ],
   "source": [
    "teams_with_strikeouts_recorded = teams[teams['SO'] > 0]\n",
    "\n",
    "strikeouts = teams_with_strikeouts_recorded['SO']\n",
    "win_percent = teams_with_strikeouts_recorded['winPercent']\n",
    "\n",
    "print (correlation(win_percent, strikeouts))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Strike-outs do not appear to have a correlation with wins.** *This is contrary to the intuitive judgement mentioned earlier* i.e. teams with more strikeouts are hitting the ball less on average which in turn would result in less runs being scored further resulting in less overall wins. However, this does not appear to be the case.\n",
    "\n",
    "Source: https://en.wikipedia.org/wiki/Strikeout\n",
    "\n",
    "The correlation coefficient is negative and at the same time is very close to zero, hence nothing conclusive can be said."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "win_percent = teams['winPercent']\n",
    "runs = teams['R']\n",
    "earned_runs_allowed = teams['ER']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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N1bp162SxWJSRkaFFixZpxowZmjhxohYtWqTOnTvrvffeU1ZWVoV6AKDiCDSA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\nNjIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1155c4588>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Distribution of metrics\n",
    "fig, ((ax1, ax2)) = plt.subplots(nrows=2)\n",
    "sns.distplot(runs, ax=ax1, kde=False)\n",
    "sns.distplot(earned_runs_allowed, ax=ax2, kde=False)\n",
    "ax1.set_title('Run Scored')\n",
    "ax2.set_title('Earned Runs-Allowed')\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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zdvdf23PWnSnP2TzmXFpEnzo7szTq9rjXL7U+6dC+AciK7tbQf81yeXRPie1P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K962V488+wcwjBKh5cocVkzCCPomtL+bP258oqNhKYq0DRg10gGcxUHuqagVvcxs2BDUWSYOkM+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\nw0MPPQQAeOyxx3DkyJFtvqKt4dKlS/jt3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      "text/plain": [
       "<matplotlib.figure.Figure at 0x11976ba58>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Pearson's Correlation Coefficient (r) = 0.503545174259\n",
      "\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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djE03hh2D1bZ2r44bUK67RFGLphw3ZMlZ4v5J/NfJPXLMyhLHrOy4+wMSwC+V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z/7syvnfQ52lHNsZtNNm9UPNw60yQ0OjEFsRxE0HHeN4wBjZzHj+SQWp7O/+PN+DozX/d/v72q1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\nJ1lUzinQYZZVO8pClrXYSuDZEyC8YgYJS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qKZQZ1GZZ90LvukdlZkLmc953uZtso+VnZd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\n37YBpAkAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1155de978>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Pearson's Correlation Coefficient (r) = -0.243468490439\n",
      "\n",
      "\n"
     ]
    }
   ],
   "source": [
    "corr_plot(runs, win_percent, 'Win/Runs Correlation - Standardized')\n",
    "corr_plot(earned_runs_allowed, win_percent, 'Wins-Percentage/Earned-Runs-Allowed')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**The correlation between the win-percentage to the runs scored is a moderate correlation in the positive direction. Also, the correlation between win-percentage and to earned-runs is a weak negative correlation.**\n",
    "\n",
    "Overall, **it appears that if teams focus on offense, i.e., to score more runs, it is more likely for them to win more games.** There is a caveat to this analysis though. These findings are very preliminary incorporating of only correlation measures. Multiple factors and variables are likely to cause changes to the results."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Section 3: Pitcher's Salary\n",
    "\n",
    "The prior sections emphasized primarily on batting statistics. Hence, **this section aims to compensate for pitcher related statistics to determine which statistics determine a pitcher's salary.** For this, correlation tests are done with Salary as a response variable and other pitching records as independent variables. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "salary = load('Salaries.csv')\n",
    "pitching_record = load('Pitching.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>yearID</th>\n",
       "      <th>salary</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>26428.000000</td>\n",
       "      <td>2.642800e+04</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>2000.878727</td>\n",
       "      <td>2.085634e+06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>8.909314</td>\n",
       "      <td>3.455348e+06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>1985.000000</td>\n",
       "      <td>0.000000e+00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>1994.000000</td>\n",
       "      <td>2.947020e+05</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>2001.000000</td>\n",
       "      <td>5.500000e+05</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>2009.000000</td>\n",
       "      <td>2.350000e+06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>2016.000000</td>\n",
       "      <td>3.300000e+07</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "             yearID        salary\n",
       "count  26428.000000  2.642800e+04\n",
       "mean    2000.878727  2.085634e+06\n",
       "std        8.909314  3.455348e+06\n",
       "min     1985.000000  0.000000e+00\n",
       "25%     1994.000000  2.947020e+05\n",
       "50%     2001.000000  5.500000e+05\n",
       "75%     2009.000000  2.350000e+06\n",
       "max     2016.000000  3.300000e+07"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "salary.describe()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>yearID</th>\n",
       "      <th>stint</th>\n",
       "      <th>W</th>\n",
       "      <th>L</th>\n",
       "      <th>G</th>\n",
       "      <th>GS</th>\n",
       "      <th>CG</th>\n",
       "      <th>SHO</th>\n",
       "      <th>SV</th>\n",
       "      <th>IPouts</th>\n",
       "      <th>...</th>\n",
       "      <th>IBB</th>\n",
       "      <th>WP</th>\n",
       "      <th>HBP</th>\n",
       "      <th>BK</th>\n",
       "      <th>BFP</th>\n",
       "      <th>GF</th>\n",
       "      <th>R</th>\n",
       "      <th>SH</th>\n",
       "      <th>SF</th>\n",
       "      <th>GIDP</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>44963.000000</td>\n",
       "      <td>44963.000000</td>\n",
       "      <td>44963.000000</td>\n",
       "      <td>44963.000000</td>\n",
       "      <td>44963.000000</td>\n",
       "      <td>44963.000000</td>\n",
       "      <td>44963.000000</td>\n",
       "      <td>44963.000000</td>\n",
       "      <td>44963.000000</td>\n",
       "      <td>44963.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>30388.000000</td>\n",
       "      <td>44830.000000</td>\n",
       "      <td>44405.000000</td>\n",
       "      <td>44963.000000</td>\n",
       "      <td>44724.000000</td>\n",
       "      <td>44830.000000</td>\n",
       "      <td>44963.000000</td>\n",
       "      <td>12063.000000</td>\n",
       "      <td>12063.000000</td>\n",
       "      <td>12061.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>1968.670062</td>\n",
       "      <td>1.079643</td>\n",
       "      <td>4.715744</td>\n",
       "      <td>4.715722</td>\n",
       "      <td>23.681761</td>\n",
       "      <td>9.485488</td>\n",
       "      <td>3.151035</td>\n",
       "      <td>0.448591</td>\n",
       "      <td>1.504793</td>\n",
       "      <td>253.872139</td>\n",
       "      <td>...</td>\n",
       "      <td>2.411379</td>\n",
       "      <td>2.528575</td>\n",
       "      <td>2.266096</td>\n",
       "      <td>0.301604</td>\n",
       "      <td>343.312181</td>\n",
       "      <td>6.345260</td>\n",
       "      <td>43.021773</td>\n",
       "      <td>2.141922</td>\n",
       "      <td>1.878388</td>\n",
       "      <td>5.322610</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>37.569499</td>\n",
       "      <td>0.284834</td>\n",
       "      <td>5.813410</td>\n",
       "      <td>4.988846</td>\n",
       "      <td>18.493488</td>\n",
       "      <td>12.283920</td>\n",
       "      <td>7.081844</td>\n",
       "      <td>1.109742</td>\n",
       "      <td>4.991518</td>\n",
       "      <td>257.330446</td>\n",
       "      <td>...</td>\n",
       "      <td>2.772648</td>\n",
       "      <td>3.425706</td>\n",
       "      <td>2.998881</td>\n",
       "      <td>0.755523</td>\n",
       "      <td>348.758261</td>\n",
       "      <td>9.993949</td>\n",
       "      <td>43.245812</td>\n",
       "      <td>2.710191</td>\n",
       "      <td>2.121352</td>\n",
       "      <td>5.990178</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>1871.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>1941.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>7.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>49.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>64.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>11.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>1978.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>2.000000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>21.000000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>167.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>2.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>227.000000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>28.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>3.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>2001.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>7.000000</td>\n",
       "      <td>8.000000</td>\n",
       "      <td>35.000000</td>\n",
       "      <td>17.000000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>393.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>4.000000</td>\n",
       "      <td>4.000000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>535.000000</td>\n",
       "      <td>8.000000</td>\n",
       "      <td>67.000000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>8.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>2016.000000</td>\n",
       "      <td>4.000000</td>\n",
       "      <td>59.000000</td>\n",
       "      <td>48.000000</td>\n",
       "      <td>106.000000</td>\n",
       "      <td>75.000000</td>\n",
       "      <td>75.000000</td>\n",
       "      <td>16.000000</td>\n",
       "      <td>62.000000</td>\n",
       "      <td>2040.000000</td>\n",
       "      <td>...</td>\n",
       "      <td>23.000000</td>\n",
       "      <td>63.000000</td>\n",
       "      <td>41.000000</td>\n",
       "      <td>16.000000</td>\n",
       "      <td>2906.000000</td>\n",
       "      <td>84.000000</td>\n",
       "      <td>519.000000</td>\n",
       "      <td>21.000000</td>\n",
       "      <td>14.000000</td>\n",
       "      <td>40.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>8 rows × 27 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "             yearID         stint             W             L             G  \\\n",
       "count  44963.000000  44963.000000  44963.000000  44963.000000  44963.000000   \n",
       "mean    1968.670062      1.079643      4.715744      4.715722     23.681761   \n",
       "std       37.569499      0.284834      5.813410      4.988846     18.493488   \n",
       "min     1871.000000      1.000000      0.000000      0.000000      1.000000   \n",
       "25%     1941.000000      1.000000      0.000000      1.000000      7.000000   \n",
       "50%     1978.000000      1.000000      2.000000      3.000000     21.000000   \n",
       "75%     2001.000000      1.000000      7.000000      8.000000     35.000000   \n",
       "max     2016.000000      4.000000     59.000000     48.000000    106.000000   \n",
       "\n",
       "                 GS            CG           SHO            SV        IPouts  \\\n",
       "count  44963.000000  44963.000000  44963.000000  44963.000000  44963.000000   \n",
       "mean       9.485488      3.151035      0.448591      1.504793    253.872139   \n",
       "std       12.283920      7.081844      1.109742      4.991518    257.330446   \n",
       "min        0.000000      0.000000      0.000000      0.000000      0.000000   \n",
       "25%        0.000000      0.000000      0.000000      0.000000     49.000000   \n",
       "50%        3.000000      0.000000      0.000000      0.000000    167.000000   \n",
       "75%       17.000000      3.000000      0.000000      1.000000    393.000000   \n",
       "max       75.000000     75.000000     16.000000     62.000000   2040.000000   \n",
       "\n",
       "           ...                IBB            WP           HBP            BK  \\\n",
       "count      ...       30388.000000  44830.000000  44405.000000  44963.000000   \n",
       "mean       ...           2.411379      2.528575      2.266096      0.301604   \n",
       "std        ...           2.772648      3.425706      2.998881      0.755523   \n",
       "min        ...           0.000000      0.000000      0.000000      0.000000   \n",
       "25%        ...           0.000000      0.000000      0.000000      0.000000   \n",
       "50%        ...           2.000000      1.000000      1.000000      0.000000   \n",
       "75%        ...           4.000000      4.000000      3.000000      0.000000   \n",
       "max        ...          23.000000     63.000000     41.000000     16.000000   \n",
       "\n",
       "                BFP            GF             R            SH            SF  \\\n",
       "count  44724.000000  44830.000000  44963.000000  12063.000000  12063.000000   \n",
       "mean     343.312181      6.345260     43.021773      2.141922      1.878388   \n",
       "std      348.758261      9.993949     43.245812      2.710191      2.121352   \n",
       "min        0.000000      0.000000      0.000000      0.000000      0.000000   \n",
       "25%       64.000000      0.000000     11.000000      0.000000      0.000000   \n",
       "50%      227.000000      3.000000     28.000000      1.000000      1.000000   \n",
       "75%      535.000000      8.000000     67.000000      3.000000      3.000000   \n",
       "max     2906.000000     84.000000    519.000000     21.000000     14.000000   \n",
       "\n",
       "               GIDP  \n",
       "count  12061.000000  \n",
       "mean       5.322610  \n",
       "std        5.990178  \n",
       "min        0.000000  \n",
       "25%        1.000000  \n",
       "50%        3.000000  \n",
       "75%        8.000000  \n",
       "max       40.000000  \n",
       "\n",
       "[8 rows x 27 columns]"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pitching_record.describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The 'yearID' in *salary* DataFrame ranged from 1985, while 'yearID' in *pitching_record* is available from 1871. Hence, when inner merging, a lot of data for pitching prior to 1985 gets removed, which is acceptable as there are still enough observations to conduct the analysis."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "pitchers = salary.merge(pitching_record, \\\n",
    "                        on = ['playerID', 'yearID', 'teamID', 'lgID'], how = 'inner')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>yearID</th>\n",
       "      <th>salary</th>\n",
       "      <th>stint</th>\n",
       "      <th>W</th>\n",
       "      <th>L</th>\n",
       "      <th>G</th>\n",
       "      <th>GS</th>\n",
       "      <th>CG</th>\n",
       "      <th>SHO</th>\n",
       "      <th>SV</th>\n",
       "      <th>IPouts</th>\n",
       "      <th>H</th>\n",
       "      <th>ER</th>\n",
       "      <th>HR</th>\n",
       "      <th>BB</th>\n",
       "      <th>SO</th>\n",
       "      <th>BAOpp</th>\n",
       "      <th>ERA</th>\n",
       "      <th>IBB</th>\n",
       "      <th>WP</th>\n",
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       "      <th>GF</th>\n",
       "      <th>R</th>\n",
       "      <th>SH</th>\n",
       "      <th>SF</th>\n",
       "      <th>GIDP</th>\n",
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       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>11797.000000</td>\n",
       "      <td>1.179700e+04</td>\n",
       "      <td>11797.000000</td>\n",
       "      <td>11797.000000</td>\n",
       "      <td>11797.000000</td>\n",
       "      <td>11797.00000</td>\n",
       "      <td>11797.000000</td>\n",
       "      <td>11797.000000</td>\n",
       "      <td>11797.000000</td>\n",
       "      <td>11797.000000</td>\n",
       "      <td>11797.000000</td>\n",
       "      <td>11797.000000</td>\n",
       "      <td>11797.000000</td>\n",
       "      <td>11797.000000</td>\n",
       "      <td>11797.000000</td>\n",
       "      <td>11797.000000</td>\n",
       "      <td>11336.000000</td>\n",
       "      <td>11792.000000</td>\n",
       "      <td>11797.000000</td>\n",
       "      <td>11797.000000</td>\n",
       "      <td>11797.000000</td>\n",
       "      <td>11797.000000</td>\n",
       "      <td>11797.000000</td>\n",
       "      <td>11797.000000</td>\n",
       "      <td>11797.000000</td>\n",
       "      <td>6481.000000</td>\n",
       "      <td>6481.000000</td>\n",
       "      <td>6481.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>2001.159278</td>\n",
       "      <td>1.897872e+06</td>\n",
       "      <td>1.008816</td>\n",
       "      <td>5.153937</td>\n",
       "      <td>4.995762</td>\n",
       "      <td>33.90540</td>\n",
       "      <td>10.269899</td>\n",
       "      <td>0.673646</td>\n",
       "      <td>0.215818</td>\n",
       "      <td>2.851403</td>\n",
       "      <td>268.243282</td>\n",
       "      <td>88.835043</td>\n",
       "      <td>40.862846</td>\n",
       "      <td>9.665169</td>\n",
       "      <td>32.131389</td>\n",
       "      <td>65.569213</td>\n",
       "      <td>0.251194</td>\n",
       "      <td>4.743864</td>\n",
       "      <td>2.619819</td>\n",
       "      <td>3.135882</td>\n",
       "      <td>2.951598</td>\n",
       "      <td>0.468763</td>\n",
       "      <td>383.041027</td>\n",
       "      <td>9.187929</td>\n",
       "      <td>44.712130</td>\n",
       "      <td>3.039654</td>\n",
       "      <td>2.577689</td>\n",
       "      <td>7.466286</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>8.778015</td>\n",
       "      <td>3.119543e+06</td>\n",
       "      <td>0.102148</td>\n",
       "      <td>4.908647</td>\n",
       "      <td>4.094051</td>\n",
       "      <td>20.44062</td>\n",
       "      <td>12.783021</td>\n",
       "      <td>1.724879</td>\n",
       "      <td>0.642570</td>\n",
       "      <td>8.185159</td>\n",
       "      <td>203.171190</td>\n",
       "      <td>67.193137</td>\n",
       "      <td>30.611622</td>\n",
       "      <td>8.094901</td>\n",
       "      <td>23.133674</td>\n",
       "      <td>52.570891</td>\n",
       "      <td>0.076771</td>\n",
       "      <td>3.557083</td>\n",
       "      <td>2.514453</td>\n",
       "      <td>3.063076</td>\n",
       "      <td>2.994759</td>\n",
       "      <td>1.001768</td>\n",
       "      <td>283.946959</td>\n",
       "      <td>13.847448</td>\n",
       "      <td>33.404884</td>\n",
       "      <td>3.104378</td>\n",
       "      <td>2.353063</td>\n",
       "      <td>6.743777</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>1985.000000</td>\n",
       "      <td>6.000000e+04</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.00000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>1994.000000</td>\n",
       "      <td>2.800000e+05</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>2.000000</td>\n",
       "      <td>19.00000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>113.000000</td>\n",
       "      <td>37.000000</td>\n",
       "      <td>17.000000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>15.000000</td>\n",
       "      <td>26.000000</td>\n",
       "      <td>0.230000</td>\n",
       "      <td>3.320000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>167.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>19.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>2.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>2001.000000</td>\n",
       "      <td>5.275000e+05</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>4.000000</td>\n",
       "      <td>4.000000</td>\n",
       "      <td>32.00000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>207.000000</td>\n",
       "      <td>66.000000</td>\n",
       "      <td>30.000000</td>\n",
       "      <td>7.000000</td>\n",
       "      <td>27.000000</td>\n",
       "      <td>53.000000</td>\n",
       "      <td>0.257000</td>\n",
       "      <td>4.200000</td>\n",
       "      <td>2.000000</td>\n",
       "      <td>2.000000</td>\n",
       "      <td>2.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>294.000000</td>\n",
       "      <td>3.000000</td>\n",
       "      <td>33.000000</td>\n",
       "      <td>2.000000</td>\n",
       "      <td>2.000000</td>\n",
       "      <td>5.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>2009.000000</td>\n",
       "      <td>2.200000e+06</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>8.000000</td>\n",
       "      <td>8.000000</td>\n",
       "      <td>48.00000</td>\n",
       "      <td>22.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>410.000000</td>\n",
       "      <td>141.000000</td>\n",
       "      <td>65.000000</td>\n",
       "      <td>15.000000</td>\n",
       "      <td>46.000000</td>\n",
       "      <td>92.000000</td>\n",
       "      <td>0.282000</td>\n",
       "      <td>5.310000</td>\n",
       "      <td>4.000000</td>\n",
       "      <td>5.000000</td>\n",
       "      <td>4.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>594.000000</td>\n",
       "      <td>13.000000</td>\n",
       "      <td>71.000000</td>\n",
       "      <td>4.000000</td>\n",
       "      <td>4.000000</td>\n",
       "      <td>11.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>2016.000000</td>\n",
       "      <td>3.257100e+07</td>\n",
       "      <td>4.000000</td>\n",
       "      <td>27.000000</td>\n",
       "      <td>21.000000</td>\n",
       "      <td>94.00000</td>\n",
       "      <td>39.000000</td>\n",
       "      <td>20.000000</td>\n",
       "      <td>10.000000</td>\n",
       "      <td>62.000000</td>\n",
       "      <td>845.000000</td>\n",
       "      <td>284.000000</td>\n",
       "      <td>145.000000</td>\n",
       "      <td>50.000000</td>\n",
       "      <td>152.000000</td>\n",
       "      <td>372.000000</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>108.000000</td>\n",
       "      <td>18.000000</td>\n",
       "      <td>26.000000</td>\n",
       "      <td>21.000000</td>\n",
       "      <td>16.000000</td>\n",
       "      <td>1157.000000</td>\n",
       "      <td>79.000000</td>\n",
       "      <td>160.000000</td>\n",
       "      <td>21.000000</td>\n",
       "      <td>14.000000</td>\n",
       "      <td>40.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "             yearID        salary         stint             W             L  \\\n",
       "count  11797.000000  1.179700e+04  11797.000000  11797.000000  11797.000000   \n",
       "mean    2001.159278  1.897872e+06      1.008816      5.153937      4.995762   \n",
       "std        8.778015  3.119543e+06      0.102148      4.908647      4.094051   \n",
       "min     1985.000000  6.000000e+04      1.000000      0.000000      0.000000   \n",
       "25%     1994.000000  2.800000e+05      1.000000      1.000000      2.000000   \n",
       "50%     2001.000000  5.275000e+05      1.000000      4.000000      4.000000   \n",
       "75%     2009.000000  2.200000e+06      1.000000      8.000000      8.000000   \n",
       "max     2016.000000  3.257100e+07      4.000000     27.000000     21.000000   \n",
       "\n",
       "                 G            GS            CG           SHO            SV  \\\n",
       "count  11797.00000  11797.000000  11797.000000  11797.000000  11797.000000   \n",
       "mean      33.90540     10.269899      0.673646      0.215818      2.851403   \n",
       "std       20.44062     12.783021      1.724879      0.642570      8.185159   \n",
       "min        1.00000      0.000000      0.000000      0.000000      0.000000   \n",
       "25%       19.00000      0.000000      0.000000      0.000000      0.000000   \n",
       "50%       32.00000      1.000000      0.000000      0.000000      0.000000   \n",
       "75%       48.00000     22.000000      0.000000      0.000000      1.000000   \n",
       "max       94.00000     39.000000     20.000000     10.000000     62.000000   \n",
       "\n",
       "             IPouts             H            ER            HR            BB  \\\n",
       "count  11797.000000  11797.000000  11797.000000  11797.000000  11797.000000   \n",
       "mean     268.243282     88.835043     40.862846      9.665169     32.131389   \n",
       "std      203.171190     67.193137     30.611622      8.094901     23.133674   \n",
       "min        0.000000      0.000000      0.000000      0.000000      0.000000   \n",
       "25%      113.000000     37.000000     17.000000      3.000000     15.000000   \n",
       "50%      207.000000     66.000000     30.000000      7.000000     27.000000   \n",
       "75%      410.000000    141.000000     65.000000     15.000000     46.000000   \n",
       "max      845.000000    284.000000    145.000000     50.000000    152.000000   \n",
       "\n",
       "                 SO         BAOpp           ERA           IBB            WP  \\\n",
       "count  11797.000000  11336.000000  11792.000000  11797.000000  11797.000000   \n",
       "mean      65.569213      0.251194      4.743864      2.619819      3.135882   \n",
       "std       52.570891      0.076771      3.557083      2.514453      3.063076   \n",
       "min        0.000000      0.000000      0.000000      0.000000      0.000000   \n",
       "25%       26.000000      0.230000      3.320000      1.000000      1.000000   \n",
       "50%       53.000000      0.257000      4.200000      2.000000      2.000000   \n",
       "75%       92.000000      0.282000      5.310000      4.000000      5.000000   \n",
       "max      372.000000      1.000000    108.000000     18.000000     26.000000   \n",
       "\n",
       "                HBP            BK           BFP            GF             R  \\\n",
       "count  11797.000000  11797.000000  11797.000000  11797.000000  11797.000000   \n",
       "mean       2.951598      0.468763    383.041027      9.187929     44.712130   \n",
       "std        2.994759      1.001768    283.946959     13.847448     33.404884   \n",
       "min        0.000000      0.000000      1.000000      0.000000      0.000000   \n",
       "25%        1.000000      0.000000    167.000000      0.000000     19.000000   \n",
       "50%        2.000000      0.000000    294.000000      3.000000     33.000000   \n",
       "75%        4.000000      1.000000    594.000000     13.000000     71.000000   \n",
       "max       21.000000     16.000000   1157.000000     79.000000    160.000000   \n",
       "\n",
       "                SH           SF         GIDP  \n",
       "count  6481.000000  6481.000000  6481.000000  \n",
       "mean      3.039654     2.577689     7.466286  \n",
       "std       3.104378     2.353063     6.743777  \n",
       "min       0.000000     0.000000     0.000000  \n",
       "25%       1.000000     1.000000     2.000000  \n",
       "50%       2.000000     2.000000     5.000000  \n",
       "75%       4.000000     4.000000    11.000000  \n",
       "max      21.000000    14.000000    40.000000  "
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Displays all attributes with .describe()\n",
    "from IPython.display import display\n",
    "with pd.option_context('display.max_columns', None):\n",
    "    display(pitchers.describe())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The counts of *GIDP*, *SH*, *SF* only amounts to 6481, which is low if compared to the data available for other columns with 11797 observations. This is most likely to be because of unavailability of data for a certain time period."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "yearID    2000\n",
      "dtype: int64\n",
      "yearID    2000\n",
      "dtype: int64\n",
      "yearID    2000\n",
      "dtype: int64\n"
     ]
    }
   ],
   "source": [
    "pitchers.groupby('GIDP')['yearID']\n",
    "print(pitchers.groupby('SH').agg({'yearID':'min'}).min())\n",
    "print(pitchers.groupby('SF').agg({'yearID':'min'}).min())\n",
    "print(pitchers.groupby('GIDP').agg({'yearID':'min'}).min())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Thus, all data is available only after the year 2000. For this analysis, these columns are removed from the DataFrame."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "pitchers = pitchers.drop('GIDP', axis=1)\n",
    "pitchers = pitchers.drop('SH', axis=1)\n",
    "pitchers = pitchers.drop('SF', axis=1)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As for the rest of the columns, 'BAOpp' and 'ERA' have missing values as indicated by the code below. Considering that the number of missing values are relatively small compared to total observations , the missing values are imputed with the median of each attribute. \n",
    "\n",
    "[Rows: 11,531; NaN-BAOpp: 461; NaN-ERA: 5]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Missing values for ERA: 5\n",
      "Missing values for BAOpp: 461\n"
     ]
    }
   ],
   "source": [
    "print(\"Missing values for ERA: \" + str(len(pitchers[pd.isnull(pitchers.ERA)])))\n",
    "print(\"Missing values for BAOpp: \" + str(len(pitchers[pd.isnull(pitchers.BAOpp)])))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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bwiwgIEC//fZbTqcBAACQYxjKBAAAsBMUZgAAAHaCwgwAAMBOUJgBAADYCZPZ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\n8f8BUqo5+2B3MIAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1152a32e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "names = list(pitchers)\n",
    "names.remove('teamID')\n",
    "names.remove('lgID')\n",
    "names.remove('playerID')\n",
    "\n",
    "sns.set(style=\"white\")\n",
    "\n",
    "# Compute correlation matrix\n",
    "corr_mat = pitchers.corr()\n",
    "\n",
    "# Generate a mask for the upper triangle\n",
    "mask = np.zeros_like(corr_mat, dtype=np.bool)\n",
    "mask[np.triu_indices_from(mask)] = True\n",
    "\n",
    "# Set up the matplotlib figure\n",
    "f, ax = plt.subplots(figsize=(11, 9))\n",
    "\n",
    "# Generate a custom diverging colormap\n",
    "cmap = sns.diverging_palette(220, 10, as_cmap=True)\n",
    "\n",
    "# Draw the heatmap with the mask and correct aspect ratio\n",
    "plot_corr = sns.heatmap(corr_mat, mask=mask, cmap=cmap, vmax=1,\n",
    "            square=True, xticklabels=names, yticklabels=names,\n",
    "            linewidths=.5, cbar_kws={\"shrink\": .6}, ax=ax)\n",
    "plot_corr.set_title('Correlation Plot of Various Metrics of Pitchers', fontsize=14)\n",
    "\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "ERA      -0.074914\n",
       "BK       -0.041556\n",
       "IBB      -0.040116\n",
       "stint    -0.028855\n",
       "GF       -0.025816\n",
       "G        -0.013964\n",
       "BAOpp    -0.006465\n",
       "SV        0.084759\n",
       "CG        0.088995\n",
       "WP        0.106267\n",
       "SHO       0.109498\n",
       "BB        0.152024\n",
       "HBP       0.217085\n",
       "L         0.220500\n",
       "R         0.225523\n",
       "ER        0.231290\n",
       "HR        0.248538\n",
       "H         0.255421\n",
       "BFP       0.261633\n",
       "IPouts    0.268770\n",
       "W         0.270996\n",
       "GS        0.285878\n",
       "SO        0.326296\n",
       "yearID    0.337580\n",
       "salary    1.000000\n",
       "Name: salary, dtype: float64"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pitchers.corr()['salary'].sort_values()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "*yearID* seems to be an interesting feature. Hence, a plot representing the relationship between *yearID* and *salary* is made."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ZVYcrIlKr7T1cyPR/ZFBR6STx4Vvp0bGFu0uSOsBlIeHuu+9mxowZAOTn5+Pv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\n9wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x111aabac8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# To see change in salaries over the years\n",
    "yearly_salary = salary.groupby(['yearID'], as_index=False).mean()\n",
    "salary_trend_plot = plt.plot(yearly_salary['yearID'], yearly_salary['salary'])\n",
    "plt.title(\"Annual Salary - Trend\")\n",
    "plt.xlabel(\"Year\")\n",
    "plt.ylabel(\"Salary\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "From the relationship obtained above, the *year* and *average salary*, there is a **clear upward trend.** Based on the computed correlation, it can be noted that there is **no significant correlation between the average salaries and the number of wins in a season.** Hence, it can be concluded that spending a lot of money does not play a significant role in the team performance.\n",
    "\n",
    "Investigating real performance metrics of players, such as ERA and SO."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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zu7yxOUllbYzG5mQPRyiEEOJwIcn7AEXiaVJpk4rSPHKDOtUNcXbWRPjg01qS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\nIs0EOVPnmWNN5hsuftgbux/EaJrKFTuG1sw2hyt5Zua7tN0YgaDtxkw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bO+64Q9aYP857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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1193f6ac8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ra_salary_plot = sns.regplot(x=pitchers['ERA'], y=pitchers['salary'],\\\n",
    "                             scatter_kws={'alpha':0.25}, fit_reg=False, marker=\"*\")\n",
    "ra_salary_plot.set_title('Relationship between ERA and Salary', fontsize=14)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**The above scatterplot of salary and ERA (negative correlation) makes sense, as people normally perceive a pitcher with low ERA a good pichter, and thus deserve higher salary.**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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2M9+tZOhAgdYhQRQGUt4lDvlbu2M2aBEKC+ho9QCIbmMPqTLnbTw8/jAc7gBE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\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x114325860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ra_salary_plot = sns.regplot(x=pitchers['SO'], y=pitchers['salary'],\\\n",
    "                             scatter_kws={'alpha':0.25}, fit_reg=False, marker=\"*\")\n",
    "ra_salary_plot.set_title('Relationship between SO and Salary', fontsize=14)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Finding whether a salary is a factor to win games or not. For this, 3-variable scatter plot is made with *wins, loses & salary*."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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sqjcmD3fD5AA3LJnqZdD4i6Z4wszECGYmMiyc5CE6zs7aFOOGOmv/Hu3rBA9X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TMiv4rbBOhK0NKlxJtf5hL73dHQNMN5fwj9jpuNCQ3a4eHhWLVqlUmQIjwcbm5u6O7mfjv4qchl\nErg6cpsKRAaSRTFC/LiNAaJ4tHV9OfSSAcBHgCrSpBhro4X56WR9aH9P/uQrP8LfkEwykiLIU3sk\nz+sYHjGOKMJ1iAwkJ/54unInrLkIyJi3lbM/As48etkAkMmi87xoCvkajWb0vUlRQEwIv+yqTCqB\nP4txhERCYUoct5BHWIArrwa4pws5STI93sdKTpPPDEbIft1duK9TAos5ihkhyYoOdjIEeo/VzU8S\nYNgTGejGqqUPAL4eDrz5AwAwLdFv5BrHhLgjMZz7t5iJCnbnNDMhPbujsZFLsWp2BKKDXbFmLr88\n7eUkxM8FH/7uFkHnBzDppXNJtDpPoBjO9cSEBu2tW7fitddeAwB0dnZiaGgI3t78LkCXCkVRWD2H\n3RhAKqWwimObmbXzouBsb33zRQe7YhrPmvTCqSGwYQkIbs42WD4jjNgWAJ5/MBM+rhc79aRID9zJ\nk8B268xwkNJUpBIKK2dzmxU8c5+1SYmZp+6eQtz3PUtiYctioCGXAvcuJSd2TU/yRwzLICjE15HX\nnOHx2yaBSwXzLh7jDgD4w/3WyS53LIgSlPDj6WKP396bBgc7GexspFiSEYLV84StOQLAZy8vxaxU\nP8SFumPzC4thIxeWYnLf0njYWji+LZsRikAf7kGmt5s9UgjBysPZDitmkdfUY0I8cN/SOIT4Ov9/\ne3ceGFV97n/8PTNJyEYIkACBbAQIYQ9hJ6wCgiiuqLX2atHW9bZSS3vV3ipVCvrT2tbeuhZxq2tV\nQGTfl0CAQBISlpCQfSML2ZNZz++PmJBl5syJStbn9ReZ5MucmTkzz5lzvt/nQ38fd6InBPDgzeqh\nLP6+Hqqpdh69XFis0kN81oQhDOpv/yB3+XXOn2udTsfqX85g5vgAIkL6cv/SUU4fJ8CU0QMZG9Z6\nuw16HfOiAjXtH1NGD2LtY9Gs/MlEnn9ohqYZ4L093ZgVObjV7d4eLtwwI9Tp+Ab/tXQ0r66cp7nP\n+Y+prZMD7b3HdcBt87W/l3qSdu09bjKZePrpp8nLy0On07Fq1SqiouxPNPixeo8risKGb5LZciS9\n8fSgj6cbD98+jjkTnf+/OUVVfLAlmYSLRbgadMycMIQHlo3V9AbcGpPO1iPpZBZUotPV9+K+e+FI\npjqI3vsx/O3TU+w5Yf/a5C1zwpxOoMkvquK3rx2gsqb+FJ2PlyuvrpzHQA1LbFKzr/C3T0+TVVAJ\nOgj09+aJn0xkpIZWnUazlQ1bkjmeVICiKERF+LPiprF4e6rHLwLsOZ7Ju1vONp4G9XJ34ZY5Ydyz\nWFuykcls4Y0vE6msNvGruye2eblZR8i9XMmO2CzqjGYmjRrI1NGDnBaSy1dqWPfe8VZZ4b09XVlx\n0xgWaQjggPr3lM2maO6zXlhazZ83HCe9xen7Xq567loYzl0L1Q9Gy6qMrN1wnNScMixWGz5ebtw+\nbxi3zw/XdP/fV0WVkbc3niExtZiqWjND/L2ZPymI269xMbHZFL7Ym8Lx5AIqqk0E+Hlxw4xQZoxr\nXcy7i092XWB7TAa1dWa8PV1ZPn8ES2f1jHjPliQw5Ds1dWaOJRXg5eHC5IiBbQp2+CGsVhsXsq7Q\ny9VA2JA+13zJhqIobDqYxtaYdC5fqUUHBPh5sWxWGDfM1DY7+Ycymq0oiqI5/vTHkldUhdlqI3hg\n29aW9yQ1dWY2HUzjbHopFouNwf5eLJkR+oP6xWtRUW1i08E0ktNLMJusDPLz5LpJwQ5XMthTZ7RQ\na7LQx6tXuzZmqakzU11roZ9Pr3b73BA9lxTtHkpRFKpqzeh0Orzl2pAQQnQJkvLVQ+l0OnprOLUs\nhBCi65BzPUIIIUQXId+020HDFYi2Xmc1W2xk5Jej1+sIDeijqUezEJ2doigy50CI70mKtgYZ+eUc\nScjD1UXP9dNCVNt5NnUkIZddx7PILKhEr6tfr3zT7KGMsbOUpCmbTeHdb5LYeSyTWlN9g4Henq7c\nOncYdy4I1/yBZ7Ha0EG7Tp4xmS1sjckAReGGmUPppXEymtliY2dsBklpJSgKhIf4cmN0mOb1nlkF\nFRw4lYNNgWljBxGhYcY61M+o/np/KilZV7DaFEIDfLgpeijDNU7MKqusY/eJLMxmG9PHBTB0sPra\n/66uzmhh94ksamrNTIoYyDAn/QoaZBdW8NW+VM6ml2A02wjo78XsyCHcMDO0XQp4ZY2JymoTA/t5\ndpnJZHlFVeQWVRER2q9dLnWZLVa+2JNCQkr9bPl+fdyZMS6AG2a0z2sktOkRE9GyCir43T8ONXZe\nGuLvxT9WzXfal1dRFNa9F8vRpOZdhe5fOorlC9SXm2w5fIn3tpxt1dXHt7cbK38SxaQIx7Nm170f\nS0yi/RZ+t84ZxoO3qPfTLiyt5tV/x3Huu57rE8L9ePKnk+ir8WDjcEI272xMAnQ8evt4pmtcavLR\n9nN8vS8V03dL61xd9CybFcaKZepreeuMFp5ff4wzLTqMjQzpyx8fmOZ0CdZ7W5LZFpPR2Emql6ue\n2ZFD+NVdE1VnGWcXVrDu/ZNkFzbvRNbfx51f3RXpdGbz5oNp/Gfv1b7a7r1cmDtxCI8vn3DNP+QO\nns7h4OlcjCYrI0P6cveikdc0xALq24Z+sPUsBSX1He7c3QzMGBfAEz+JUj0LlJlfwbr3T5BbVNXs\ndoMebp4zzGl/eLia1JdfVMXcqEDNB87VtWZe/099+EZljZmQQb1ZOnNou62kKKs0UlxWS+BAb82r\nKSqqjLz4wQmS00ux2RTc3QwsmhrML28dd832K7PFxp83xBJ3/nKz23U6WDIjlMfumOD0/4g7X8i2\nmAxKymsJ8PPitnnDr/mqhO7IWe0zrF69enX7b5ZzFRUVfPDBB9x///34+Hz/ODyzxcaK53c0FhKA\nyhozO49ncpuTRhhf70vlmyMZrW5PuFjM5FEDHMZs1pks/PWTU42pRM1/Z6W4rJaFU+13zkrLKeOd\nTa1DOxpczC7jxuhQh99grTaFx1/eQ3bh1VaNBSU1nDibz43RzuMX39uSxDubzlJrtFJrtHIoPg9F\nsTF+uHoTnEs5V/jLx6ewNunJbLMpnM8oZeJIf/x8Ha/z3rAlmUPxea1uLymvo6LGxPSx9sMkoP5s\nxoYtyRjNV19fq03hUl4Fnu4uql3e3vwq0W4r0lqjhfySahZNDXb4fKVklfL3z+KpbNKS1mK1cSmn\nHC93VyI0hkPkFlWRU1iJv4YueQ12HMvg9S/jySqooqC0huRLJeQVV6mG3/xQZZV1rHv/BEVNWv9a\nrAoZ+RWgg/HDHZ89entjot3+0ooC2QWVzBgXoNq9zmZTeOmDE3yy4zxxF4o4eDqHgP5eBKo0k2nw\n109OcSghr3H/KKsykXSphKGD+zC4Rac0e1Kzr/Cbvx3g4x3nOX3hMgumBGkunJsOpvH/PjzB5kOX\nOJFcSERoX/o66HbW1AvvHicxtbixZazFqpCSVYa7m4FRGrqqfR+bDqTWnyGzIzO/grHD/FQ7OZ5J\nLeaVj+JIyy2ntMJIVkElCSlFTB8XgJesXmkTZ7Wva5wn+gE+23UBe739r1QYVfuDA3xzxHFYxcYD\naQ5/t/dkduO3EXvOZ5ZyKdd+j2pnISZWm8LOWMdhJUcScrlS0fpx5VyuITG1WPX/BvhyX+vH9emu\ni07HvbMpuVVfaqhP3Fr/jeODEIBElaCLxNQirCrhHUcS81v18G4Q5yC0BerX3joKKgC4mHXFbkFv\nsPtEtt2e2Qpw4qy2oIMzqcU88uIe/uefh9mwRf05amrPyWxM5uaP+cTZQrILHfceb+lAXFabwk22\nxmQ47Md9qsW3s6aMZivJKs9zdZ2FXcfVw3eOJORy9Ex+4/u4pNzIxoOO338NSitqiU9pvW/VGi3s\nVwnOaer59bGUVhipM1lJulTCm18mOh9EfZ/wz3dfaDyoyyio4KPt552OK7pSS3Ka/ffp7uPathmg\nstrE5kNpaD2Rau95amC22DjgJORoR2wG5S0+TwtKa9jiJPCnqaoaEy++fxyzhr7uPVm3L9qpKlGV\nzlJ3qh2kCzkbW1WjfjBgsSoOgzDU7rNBjdHx36gFe+RernL4ux+qstbxY3b2mKpqHQdG1NRamp0l\nafV/q4RcVKsEUdQaLdSqjLUp9kNbGrfre95vU2fTr344n9FwQNWgwk5wRJ3JSnah9td348FLmlLQ\nGqi9htUq+3ud0UKtgwCMxr9xEuySW1TdKm3viobErJLyOocJYZUaQnuAVtueddl5qAvAlUojldXN\n76Plz/YUldVgcZAgVlGjLTAE4NSFy2w8kObw8bfk7DWqdbJPO3pslU4+C5vaF5fD0TP5pKh8Zose\nULRvnu342lXgAPXTY6GDHZ+WHxXq+DTVsEBfh/2wAfp4uzHCwQSewIHOT/kFq/xN1EjHoRFTRjvv\nPmVvjo6WuWDDAx1PSAoNUJ+cNdjPcRBCgJ8X7m6ON0BtrKOe1VAfNjGgn+Ox3p6uqmEVg/0c7zsB\nftpOdd8wM4ygAV708XLlvqXaWq6C/ZCOAX097IbMOPL/fjWbd/94vea/D1MJdVE7zezt6eY0IMdZ\nEEb9Kdbml4PUtqdByCAfAhzsH0OcvPcbDG3yGaADlkZruxY+2M+LoS22caiT8Buof1zeHvYvfQ11\nEs7S1NyoQN56aoHmCWwDVAKO6n+v/hoGDbL/fKp9LrS0bHYYn629UVOwSk/W7Yt21KhB+PVtfR1p\n0dQgXJzMIr3vBvsfpO6ueu5Q6T8cNXKA6rXUyPABDq9t3Tw7DDeVCUV9vNyYFel4Yl7YEF/mTmw9\ncWzZrKGarpv+c9V1rW57438WOh33yO3j8XJvfe3Ko5eBx5erT2KZNykQR/OYZkcOUb2GeNOsMAb0\nbf2B4+PlxhKVgAUXg55pKgcxE4b7qxaTm2eHEWInBa6PlxtLNU5y8vFy4/X/WchHzy8lMtzxwVZL\n91wf0ey+e3u6cfv84Xjaef4dcXUxtKnH+rxJQYwe2nqf9vZwYfEMxz3LDXodU1Qm9A3x93Y6KSw0\nwIcVN41h2JA++Pl6MHP8YB66bbzTbXZzNbBkekir91PIoN7crjHY5aX/ns3104IZM7Qfq+6bzGyN\n8wbcXA08eU8U08YMZPTQfiyNDuWXTvr+A7i7uXCjnZ7b7m4G7nYSGNSSs4m2TV03ORgPBwfHfr4e\nLHPSB/yuBSOJCL066UxH/ZeExdNDNW8D0O6tj7uiHjF7XFEU/rP3Ihv3p9LLzcCv7pzAxAhtoR3H\nkvJ56+vExtPZIwL7sPKnUQQPVD/qzcyv4C8fx7UKSRg3vD/P3D9VNQhjX1w2f//0VKusZzdXPc89\nOIPxI9SXjCmKwt6T2RxJzEWPnrmTAtuc9nMmtQidDsYO0/7t7XJpNWvfq58lrFD/beOp+6eofitt\n8MWeFLbFZFD0XT5zv969WDAlmP9aOsrpxJ+ktGI+253ChYxSbIrCsEBfbp4zjOjx6rPerVYbr312\nmiOJ+Y2z/A16HeOH+/G7n02mt0qsK0BWYQUfbTvPuYz6Pt5hQ/pwy5wwpo5xPHHux2IyW9lzIovK\nGjNzo4YwUOWswY+lrMrIu98kk5xWTJ3JQsggH26MDiN6gvrzbLHaeOWjOI4l5TXbpwf19+TRO8YT\nNVJ7//Hvs8b74OkcDifkUV1rJmigN7fPH6EpHrcjbYtJZ2dsJqWVRoYG+HDnghFOl4r+UF/vT+XL\nvRebXZse1N+TX9w8lmkqk0EbmC02dh3PpLCkhqGDfZgzMbBde8R3F9J7/EdSXWvGYNC16UjQZLay\n7WgGaTll6PU6Jgz3Z05UoKYmKem55Xy57yJJaSXodDB51EDuuG6E5kzdrqjWaOFQfA5Wm8LsCUM0\nJXw1daWyDptNoZ+Pe5s+2C9mX+FIQh42m8K44X5MHjWwTePrTBasVqXHzJK1WG1YLDZNSXcNFEXh\n5LlCjiXVHyAN8ffm5tnDesxz1lUUl9Ww/WgmVbUm/Hw9uDE6zGHetbg2pGgLIb1fxEEAACAASURB\nVIQQXYSz2tftr2kLIYQQ3YUUbSGEEKKLkIsVQghxDVRUG9kVm0Wt0cIQf2/N81mEUNOjirbRbMWg\n1zld6tWSzaZwIasUz16udtfIOlJeZWTj/lTOZpTiotczMcKfZbOHaQ7B2H08k093XkBv0PHo7eOY\nOFLbjPcGRrMVHfXLT9qisLSa3cezQAfXTw1pU4vNHyqvqAqrTSFwgHe7hRQoSn271TqzlXHD/Nq8\nf/zQ+1YUZJatBmaLFaPJipeHa6cOsFAUhQ1bkjlwKrdZE6av96fy08URTB937VcXiO6rRxTt1Owy\n1r4XS9F3y7bGDO3H6l/O0DT7deOBi6zffLbxZw9X+NOjsxgVot4AIK+oij++GcPlsqu9mhPTijmS\nkMfax2apzshUFIWfPbeNiiZdhp59O5bBfp689fQip9ucV1TJqtcOUllT38Wob283/vabefRz0Cu9\nqTe/TuDbwxmNP3+6M4Vb54TxoIY1plAfkLDjWAaKAounh2jqtQz1M7jf3ZzMuYyGlK9+3HfDKMap\n9LRu6lxGKftOZmO12pg5frDTsI8GZ9NLeHdzMilZV1CA4IHe3LUwnLlRQZrGf18ms5V/bTpDwsUi\njGYbI4J8uW/pKIKcLCXsicwWG//adIa484VU11oIDujN8vnhmpoFQX3r34OncygsqWHm+ACCB2l/\njutMFrbGpFNaXkdkuD+TRzk/cP5g2zk27k9r1cUtPb+C179MwMfbjdFOGogkpFxma0wGZVVGAgf2\n5p5FI/Hzdf7+bVBQUk12YWW7JYSJ9tPtA0NMZisPv7i7sYABFJXVcvrCZdXmGwD5xVU8v/54s9ss\nNtgTm8VPrh+perT/t09P223HV1phxGy2ERXhuJnGs2/FkFnQuiVlZY0Zq83GhBGO107bbAr3/2k7\ndaarC2LrTFa2x1ziroXqzRlik/NZbyes5HzmFSJC+hLgZL11Rn4FD63bTWJqMWfSitl4II2pYwbR\nz0nhtlhtvLA+lpSsMhSlvn93cVktZ9OLWTAl2GmTiJPnCnnxveOczSglLbecI4m5+Pbu5bQbk9li\n5YV3Y7mUW954W3m1iaRLxUwfG4CPk3XaDXIuV5J7uRp/O01eHHnt83h2Ha9fZ11rtJBzuYrzmVdY\nODW4U3/rttkUNh5M43BCHkP8Pdu8LO/7ePvrRLbGZFD9XUvboiu1nEmrf42cFSSbTeHP78by5b5U\nzqQVcyg+F1+fXoRpiFA1ma08+/ZRdsVmcSHzCjEJeSgKjB3m+ECy1mjhjS8THbbXrTNZMZosquEu\nZ9NLeOnDOFJzyigqqyUtp5yz6SVcNzlY0+n1rw+ksva94+yLy2FXbCbDg3w1LxW12RQ+3HqOLUfS\nqag2Eh4sKV3trccHhmw9ko7Z0npVW2pOOeV2ejg39cZX9sMBbMD2o+kOx9UZLSRedByicCw5X/V+\nzzgIDACcNuCPSczDXqvuOrPCuQzHwQ0Am1VCUDYecN74//0tzUNDFOBdJ2EhAAdO5bRqQgOQX1LL\nzmPqASoA249mUNWkN7LZorDruPNxe09mk1XQupd0RbWZHRruF+D0hUIefWkvv/+/Q7yz8YymMdW1\nZk5daL1/pOWUaw6yADh6Jo+3v07Q/PdNHTydw/rNSZoDJRp8ue8i725OZvPBNF75t/bAke/LbLG1\niouE+t7/245mOB1/JDGXk02CYyprzGyLcfzebWrX8UzOppde3Rarwt64bNVAi/1x2ar9/wEuZF7B\n5qC/OMDOY5mtPpsuZpexL049WAXqP3s+2X4ey3efeRU1ZtZvTnI6rsHX+1P5Yu9FjiXl8963yaph\nMKJjdPuiXdTk9HRLDTnIjlSrhArY+ybcoNZkwaSSTFXnpDm/zfFQuwcgTRWUVjv8XWGJ4+cCoEKl\nub+WsILLZa0/rIrs3NbSlUrH4Q/OktgAquyElVRpCIRQO2hTCxNpqukBVkpWqcpfXlVVa3YYKlNa\noT0UYsvhdPacVE9fciTu/GWOnsnDrBLGYs/lJtGcpRW1bS76bWUyWx2GXmh5jQpLa1udpq6wE5lr\nj71QoMpqE0aT46Jdq/K7BkazDavKm9zR49Wyb9QYLY3d/Rr/P43hKAAl5VdfX6PJRo7GgBTRfrp9\n0Z470X5jFr0OgpyEc0wd4/ia2W3zhjn8XR+vXvir5EcPdXJqzsvT8fXugU4a+zt6vKD+eADGqlw/\nnqDh2vKcia1P+c3R0Kt5yuhB9HJtfdpPr4PIkc7bqNo7DT5MQ1DB5FED6eVi/3TjCI2nBe+5PoKR\nwb4M9vPk13dP1DTG39fDboiKp7sL08dqn2z450ej+ezPN2r++6b++85I/vqbeW2epLhkegihAT70\n7d2L6yY7zhv/sXi6uxAaYP99Gh7i/DWaGzkE397Ne6xrfW2njw3A0735e3FYYB/VSwIjg/viqpId\nAPXhLmqXfIYFOto3nE9g8/XuRWiLa/aR4drbn86fFNQYtDMiyJf5k6/t3A7Rdt2+aIeH9LX7Qfjw\nbeOcXh+6c8FIfL1bv7kiR/RX7fWs1+tYOjPU7u8M+vqQCzVP3hPl8HcvPDxTdax/X0+ix7d+vDfO\nDHEaKHHPwpH4eLb+mz5ebprCCu5aMJLFM4LRUR8YsHBqED9d4jy9KmSQD4umhra6fW5UEOOHOy/a\n/7V0NLMmDMbDzYCrq45JEQP5xc1jnI4LG+LLvMnBrW6PGjmABRo/rFxdDLzyxFzeenqR5klker2O\n5QtG0NfnajFxddVzw4zQNk2S+iFcXfTfa4LSsEBf/v7kPNb/7yJ+puG1/aF0Oh13XhdO/xbzImaM\nHcR1dl67lvz7efLIbeMZG9afwAHezJsUyKO3Ow8bARgR1Jef3zi68SBlUsQAHrlDPfxmTFh/1bAg\nqD9YVLP8unBmjAtoLP4+Xm7cPnc4oRpWruj1OlY/PINZkYMJD/blltlDeWx5pNNxDUYE9+XVlXN5\n6fFZrHt8lkxi64R6RBtTRVE4fraAHUcz8fRw5a4FIzR/OFosVl7/MoGElCIMBh2LpoVy54JwTff5\n8Y7zfHskvTG719/XnbsXjdSUfLMrNp03v0pqzJJ2d9Oz+hfTGaMxwCM+5TKf7DyPi0HPz5aMYpTG\nuLvC0mpe/08CKVlloIOI4L48ducE1TMHPwZFUdh/Koe484XYbDB+eH+unxbapklZ5VVGbDZF84z1\nhvvdfjSDUxcuY7EqRIT05bZ5w9v8DfT7KCqtYUdsJkazlamjBzJOwwFKT1VQUs22mAxq6sxEhPZj\n3qSgdlvzrCgKFqvi9Bt0g9ScK7zy0Slyi1pfQps6ehBP/3yKpmWFZ9NLSM+rYNqYgfhd4/ef6Dyk\n93gHqzNZOHX+Mr3cDESO8MfQjmuAhRAdo6Ckik0HL5F0qQSjyUp/H3cmjRrIbXOHyWeAUOWs9vWI\nddodyd3NhZlOIiKFEN3LoP7ePKwh81uItpJDPiGEEKKLkKIthBBCdBFStIUQQoguosdc066sMvLG\nVwn07+PBimVj0Ou1H69cyCxlZ2wm7m4Gbp07vE0BGmdSizhwOgcXg56lM4e2aUlPRbWR/afqx143\nKUhTr/SmSspr0et0bZpN3aC8yohOp9PcylMIIcS11yOK9mMv7SH78tXlFxsPXuIni4Zz7xL1tbyK\novD7fxzifOaVxts2H0rn9rnDWHHzWNWxNpvCM68fIjn96thvj2Rw44wQHtGwbvKLvSl88O25xp/f\n/DKRlfdM1LQ2NfZMLmveO9nstld+PZuRIerrRwFSs8pY9doBrN+tKTDo4e9PziPETjOQlhRF4dVP\nTnHsTD6gMHn0IH5372TNy7YsVhv7TmZjsdq4bkqw5jS0jmax2rDalC6zvaL9ZOSVk325knHD/Fs1\neRHi++j2RfvbQ2nNCnaDT3elcvfCCFxUOhNtOpDWrGA3+OpAGgumBqt+a950MLVZwW7cnqOZzJ4U\nxBiVddPnM0ubFWyo7+P9109OExk+QDWAw2q1tSrYAKteO8TmV25W7WBlsyn85u8Hmv9/NvjVK/vZ\n5GQswHNvH+V0SlHjz4fj8yirOMK6x2epjoP68I47n95CQ/fXN75K5JMXluLlod4QpsHnuy/w4bbz\nACycHMgT90zSNA7qe3h/uisFi9XGoikh3KrS7a6lbw6l8fX+NEwWKzPGBvDY8glt6hJWWWOiptbM\nQI2BDqJ95RZV8caXCZRVGhk33I+Hbh2n+fX9fNcFvth7kTqTlQA/L357TxQjnTReEcKZbn9Ne/0W\nx4EVf/lYPfDgiz0pDn/32a4LqmM3H3QcsPHVvouqY3ccdRxWsf1ohurYj7afdfi7g6fV+1Qfirf/\newU4frZAdayiKCSkFrW6PflSCVaVcIQGb36VSNN27YoCz68/6nQc1EcvNhRsgN0ncygtV++z3sBm\nU3j/23Ncyi0nq6CSj3eeI7/Ecf/2pqpqTHy+O4WislrKq0zsOJbJofg8TWOh/vLFf7+8j0de2sOB\nU23vIV5WZeRsunoITGdz6vxl3v0eQSUd5b0tySRcLCazoJJvj6Sz96S2QJfqWjObD1+i7rte5PnF\n1XyxR/19L4QW3b5oqxWMwhLHoR9QH1bgSLmT0AG1UJDKavUG/jUqQQi1RvWx+cWOAzpyi9SLUX6J\n47GXS9WDPxTFftCJAtjUElC+U2QnGanMTmCDPRY74SxlTsJgGlhtNqqbBDTUGq2UqQSYNFVjtDRL\nF1OAsiptYwFKyuu4UlmHxaqQY+dskDOZeRWcSXWcCNcZXcy+QmJqMRqO4zqFmqavr6IebtNUncnS\n6jOgzqweFCSEFt2+aIcHOQ6O+PVPHPf4BogMd9xW8rqp6teWJ6rkZUePV2/8r3a/kyLUAyV+vszx\ntfZb5qj3PL8peqjD3y2cGqI6Vq/X4du79aQ1H09Xp3nYAD9d3LqP9X03jHY6DqCXq4EBfa9eMvBw\n0xOqIS8Z6nuHTxs7iIYTnpMiBhAepC1Qwq+PB1HhV1/n0ME+zFEJbGkpPLgvD906jtvnD2f5ghGa\nxzWYEO6vqSd8Z3L3opH87cl57daC9IeaM3EIXt+FhoQN8WHBFPX3QYO+vd2btQ426CEy3PFnghBa\ndftr2n9+dBZ3PLWl1e29PV3tJi019djyCRxP3knL73G+3q7Mc/Lh/MDNY4lNKmjsHd6gr7cbS6PV\ni+eiaSFsPXKJjBbxn1ER/kwYoZ7YM6ifJyEDvcgsbP6tetywvnh5qM8E9/Z0Y/qYQRxLbn4qfPaE\nwXhomLn+4mOz+M3fDlBrrD9D4eFm0HQ9GyAitB9/WDGFVz6Kw6bAI7eNJboNBfBff7iefXHZ1NZZ\nWDKjbT3LH18+gUkRA6g1WpkdOURzm0m9XsdT90/h2yP1p0EXTwvG17ttk42chceIjrV4eijDA33J\nLKhk6uiBqglfTen1Op75+VQ+3HaOymoTESF9uVFea/Ej6BG9x01mK7/9+wEy8yvR6WHB5CB+fbf6\nt+wGxWW1vPpxHMmXStDrYN6kIB5bPkHTt8fC0mr+74vTJF8qRafTMXPcYB69Y7zTtC2on5j11b5U\nYhLzMBj0zIsK5KZZYZqLUfzFQv76yWlc9Dp+/7PJjAzVFhgCkJF3hdc+T0Svg1/fPbFNy9QURSE9\nrxybAsOG9Lnm0Y1CCNGdSGCIEEII0UU4q33d/pq2EEII0V1I0RZCCCG6CCnaQgghRBchRbsdmMxW\nzBbna5WFEEIINd1+yVcDk9nK4YQ8+ni7ETVygOZZzYqicDw5n+3HMvHo5cId80cwLNDx2u+m9p/K\n4ZOd58kvrkang+FDfPn5TaMZN9zxOuym8ourOXg6B4NBx8Ipwfj21h78UT+LuwIXg65Ns7+h/rna\nGZuJXqdj0bRgTTPlhRBCXHs9omj/5aPj7D+d3+y2NQ9NY8JI9UYlVpvCE6/sabbm+VB8HgunBvGE\nkyVjW2PSeePLxMafFQVSssv441sxPP/QTMaPUC/cH+84z6c7L9Awtf/f287x0G3juWGm4wYoDU6c\nLeClD05gNNd/u/foZeBPv5zRrNmDI5sPpvLB1nONY9/dksyKG0drWmNqtth479tkEi8WoygK44b7\n8cCyMe1S9KtrzeyIzcRmszFvUhB+fTw0j1UUhZSsKxhNVsaE9de8TrujFZZUU1lrZmiAT5fZZiHE\nD9Pt3+m5lytbFWyA/3071mn/4y92X2jVpARg9/Fs0rLLHI6z2hQ+3Gq/B7jVBu9uTlK93zOpRXzS\npGADWGzw1peJFDlpJ2q12vjzhuONRRfqW3P+8a0Yp4+3oqqODVvONRtrNFlZ/01ys1afjryzMZHN\nBy+RkV9BZkElWw6n88aXCU7HNaiqMfLAC9u5b/U2SsrUH2dT1bUmVr66nw3fJPP+t+dY+ep+8ou1\ntQVVFIXXPjvN7/9xiD+8GcPqfx1TbV/bWXy0/Rz//co+nvzrAVb/6yjGLrDNQogfrtsXbbXQiUQ7\nARdNbTniOPTj872Ow0TOpBVTVeu4z/Cl/ArV/uKOQieswK7jWQ7HAWw6lGa337rRbON4snroxwfb\nztvt42222Ph4xzk7I66yWG2cunC51e2nLhRpLii/XLubojIjVypNPLR2l6YxAJsOXqKgycFMeZWJ\nL/ZqC2dITC1m78nsxl7Y8SlFfHPY8etuz69e2ct/PbdNc7/zpqpqTKTnlbdpzJXKOjYfrO/CpgDx\nKcVsOpDa5vsWQnQ93b5oV6sEd5RXqX/IWq2Ov5nWqHzzrKtTDwZQFLCo/N9qk9ZMFvUCWKESZOLs\n8aodSKgdhEB9WpbR1Hq7TWYrVjsHAvYYTVcfm6kNXxztHWho/bZcXWtuFV5hasudA6UVRiprzFRp\nOBvRamxlXZvDQuqMFswt9gOTWSY6CtETdPui/cit4x3+Lnr8ENWxkyIGOvzd4umhDn83IdwfV4Pj\niW5+fdzp7em4lenYYY6vPU8do34d/o759oMndDqYPzlIdezy60Zgb6t1uvrfqXFzNTAypHXQxsiQ\nvpratgI8+4tpjf9+8l5tbWYB5kwMxN3t6nVzg17H/Enqj7XB5FEDGTX0asZxoL83103RNrbBa6vm\n849V8wgc4N2mcQDBA32YHam+H7Y0sJ8Xk0dd3TeH+HuxoI3bLITomrr9RLRZkYG88VUiFS3iMK+f\nEuh08s5Dt40nJjGXll/ahvh7ET1hsMNxHr1cWDA1mO0OcrHvXBCuOnt93qQgjiXlcyyp+ensJdND\nGO1kMllvLzdunhXG5haneO+9PsLphLCwIb7MGBdAzJnmcwCixw8maGBv1bEAv7x1HHUmC0mXikGB\n0WF+PHTrOKfjGkSGD+Sbv9yi+e8bhAb48MLDM/hqfxoWq5XF00NVD7iacnM18NyD09l0MA2r1cai\nacEM7OfVpvvv7+NOfx/tM/t/KL1ex1P3TeHbI+nUGC3MixrCoP5tP2AQQnQ9Pab3eExCLm9vPIOX\nhwvP/mKG5g/mimoTb32dyMmz+RgMem6YMZSfLo5wWvBtNoX/+yKevSezG68x93LVc/fCcO5c6DxO\n0Wq1sTM2kzNpJRj09d/650YFal6qVnilhg++TcZFr2fFsjFtWi4Wd76Q/+y9iA64c8EIJo7UVgAb\n5BZVodgUAjUUeiGEEFdJYEgHq6kzc+xMPr3cDEwdM0jWPAshhHDIWe3r9qfHO5qnuyvXTQnu6M0Q\nQgjRDXT7iWhCCCFEdyFFWwghhOgipGgLIYQQXUSPuKZttdrYGpPOjthMPN1duWdReJtnRJdVGnFx\n0ePtoW3N8Y/BaLZyOD4XN1c9M8YNxkX6SwshRI/WrkXbZrOxevVqLly4gJubG2vWrCEkJOSa3qfJ\nbOVnz26htkmjsGffPsaUUf48+4uZTscnpxXz9OtHGvuAe7vreeeZxXh7uWm6/9TsUta9f5JergZe\nenw2vb21jTtwOod/b69PCAMIDbjIL24ZywQnQSNQ/zz/7rVDXMorB3SMDu3Hmkdnal4uZrHaOByf\nh15fv0ZbwiiEEKJzaNdP4927d2Mymfjss8/47W9/y4svvnjN73P9pjPNCnaDE+eKuJBZqjrWZlN4\nqknBBqiqs/Hwi9r6YielFvGbvx3i8pVasi9X8dPntlFV47jNaIPKaiMbvkluLNgAGfkV/GtTkqaW\noE+8eoCU7DIsVgWL1UZiWjHPvHFE0zabLVZWvrqfv3wcx8sfxfHk3w/YbRPqSFlVHQ+t3ckv/ryz\nTaEfAOczS/nfN4/w9OuHiU9p3cdcTe7lCh5et4sH1+wk3k4PdCGE6A7atWjHxcUxe/ZsACIjI0lK\nUk+7+jHsjLXflQxgo5OQhcMJuXZvr6ixaOpt/fz62Fa3/eGNw07H7TqeRUl5XavbM/IriDljP0yk\nqayCila3nc9QP0BpvO/YTDILKht/vpRbwd4T6iElTT356n7yS2opLK3lyb8f0DwO4MOt50i4WExS\nWgnvf6seUNLS8+uPk1dcw+UrtbzycVybxkJ9lOoHDpLZhBCis2jXol1VVYW399V2iwaDAYtFPYji\nh7ITeNVILbQD1EMnbBp60tjrW2MyOx+nHiai4X7tbovTYQ7v29SGb9rmJn9rUQk+cTq2DfcJYGny\nQtu+R3ZGZbWJSg1nQYQQoiO1a9H29vamuvrqKV+bzYaLy7W9rB6tEsZww4xQ1bHzHIRO9HIDdzfn\n271i2ZhWtz330DQ7f9nc/EmB9LFzzXywnxezVHqeNxjQ16PVbUEDtLUUXTAlmP59rrY8HdDXg4WT\ntTeHeeGRaLx76fHqpee5X87QPA7qQ0nCBvsQMqg3dzgJKGnpibsm4OvtRm9PN1bcOKpNYwHuXjSS\nx5dHtnmcEEK0p3adiBYVFcW+fftYunQp8fHxhIeHX/P7fPS28Rw+ndvq22fIIC8mjhygOtbFoOe3\nP53IXz4+3XibHnjtyQWa7ntpdBh6vY4N35zFYIA1D0czqJ/zYAf/vp7ctTCcz3enUF5d/+3Pr487\nP1sSgZur8zaor/9+AY+8tIfiK7Wgqy/2f31yrqZt9vJw5Z+/m8/WIxmggxujh+LeS/tuEhrQh0/W\nLtP8901NHT2IqaPVU8wcGT9iAB/+6YbvNVYIIbqKdu093jB7PCUlBUVRWLt2LcOGDbP7tz9m7/Ga\nOjPvb0lmX1w2bq4GfnL9SG6MDtM8m9pqU4i/cBkvTxciQtRTtn5MxWU17IvLwaDXsWhqML29erXb\nfQshhGh/EhgihBBCdBHOap8swBVCCCG6CCnaQgghRBchRVsIIYToIqRoCyGEEF2EFG0hhBCii5Ci\nLYQQQnQRUrSFEEKILkKKthBCCNFFtGsb07awWuvDOgoKCjp4S4QQQoj20VDzGmpgS522aBcVFQFw\n7733dvCWCCGEEO2rqKiIkJCQVrd32jamdXV1JCUl4e/vj8HgPCRDCCGE6OqsVitFRUWMHTsWd3f3\nVr/vtEVbCCGEEM3JRDQhhBCii5CiLYQQQnQRUrSFEEKILkKKthBCCNFFdNolXz8mm83G6tWruXDh\nAm5ubqxZs8buVHpx1W233Ya3tzcAgYGBrFu3roO3qPNJSEjglVde4cMPPyQzM5OnnnoKnU7HiBEj\neO6559Dr5Zi4QdPn6uzZszz88MOEhoYCcM8997B06dKO3cBOwGw288wzz5Cbm4vJZOLRRx9l+PDh\nsl/ZYe+5CggI6BH7VY8o2rt378ZkMvHZZ58RHx/Piy++yBtvvNHRm9VpGY1GFEXhww8/7OhN6bTe\neecdNm/ejIeHBwDr1q1j5cqVTJs2jWeffZY9e/awaNGiDt7KzqHlc5WcnMyKFSt44IEHOnjLOpfN\nmzfj6+vLyy+/TFlZGbfeeisRERGyX9lh77l6/PHHe8R+1SMO2eLi4pg9ezYAkZGRJCUldfAWdW7n\nz5+ntraWBx54gPvuu4/4+PiO3qROJzg4mH/84x+NPycnJzN16lQA5syZQ0xMTEdtWqfT8rlKSkpi\n//793HvvvTzzzDNUVVV14NZ1HkuWLOGJJ54AQFEUDAaD7FcO2Huuesp+1SOKdlVVVeOpXgCDwYDF\nYunALerc3N3defDBB1m/fj1/+tOfWLVqlTxfLSxevBgXl6snqhRFQafTAeDl5UVlZWVHbVqn0/K5\nGj9+PL///e/597//TVBQEP/85z87cOs6Dy8vL7y9vamqquLXv/41K1eulP3KAXvPVU/Zr3pE0fb2\n9qa6urrxZ5vN1uxDRDQ3dOhQbr75ZnQ6HUOHDsXX17exraywr+l1xurqanx8fDpwazq3RYsWMXbs\n2MZ/nz17toO3qPPIz8/nvvvu45ZbbmHZsmWyX6lo+Vz1lP2qRxTtqKgoDh48CEB8fDzh4eEdvEWd\n23/+8x9efPFFAAoLC6mqqsLf37+Dt6pzGz16NLGxsQAcPHiQyZMnd/AWdV4PPvggiYmJABw9epQx\nY8Z08BZ1DsXFxTzwwAP87ne/Y/ny5YDsV47Ye656yn7VI9qYNsweT0lJQVEU1q5dy7Bhwzp6szot\nk8nE008/TV5eHjqdjlWrVhEVFdXRm9Xp5OTk8OSTT/L555+Tnp7OH//4R8xmM2FhYaxZs0Z65jfR\n9LlKTk7mhRdewNXVFT8/P1544YVml696qjVr1rBt2zbCwsIab/vDH/7AmjVrZL9qwd5ztXLlSl5+\n+eVuv1/1iKIthBBCdAc94vS4EEII0R1I0RZCCCG6CCnaQgghRBchRVsIIYToIqRoCyGEEF2EFG0h\nBCtWrGDXrl2NP7/00ktMnDgRk8nUeNusWbPIzs7uiM0TQnxHirYQghkzZnDq1KnGn2NiYpgwYQJx\ncXEAZGZm4unpSVBQUEdtohACKdpCCGD69OmcPn0aqO+C5+bmxpIlSzh8+DAAJ0+eZObMmR25iUII\npGgLIYAxY8aQlZWF0Wjk8OHDREdHEx0d3axoz5o1q4O3UgghRVsIgcFg/J2HqwAAAM1JREFUYMKE\nCZw5c4bDhw8za9YsgoKCqKuro7y8nNOnTzNt2rSO3kwhejwp2kII4Op17cTERCIjIxtv27NnD76+\nvvTu3buDt1AIIUVbCAHUX9fetGkT4eHhjdG10dHRbNiwgejo6A7eOiEESNEWQnwnPDycsrKyZteu\np0+fzqVLl6RoC9FJSMqXEEII0UXIN20hhBCii5CiLYQQQnQRUrSFEEKILkKKthBCCNFFSNEWQggh\nuggp2kIIIUQXIUVbCCGE6CKkaAshhBBdxP8HjrkUCoLafyUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1199ade48>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot. Salary is scaled by 300000 for better visualizaion\n",
    "pitchers.plot.scatter(x= 'W', y='L', s=pitchers['salary']/300000, title = 'The Relationship Between W, L, and Salary')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It seems that the **capability of winning a game is not related to the salary.** On the other hand, the **games lost by a pitcher does not have a clear relationship with salary as well.** *One plausible explanation could be that pitchers who can be responsible for many games would be perceived as a member of contribution.* There are around 160 games a year. Pitchers who can share the workload and maintain win/loss ratio at a certain level might be appreciated.\n",
    "\n",
    "For this, W/L ratio is calculated for further exploration."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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t3G0wondLjRzf3JS2tq0N3itta2trdO/eHZGRkSgpKcHcuXMxduxYbcRGCCFE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VqU1Xbh/TV0lvkhmbnTkUI6kXTyiARMG5mI2eOSkUVgmLuxdndZn9vZ6l1lTDmiSqVCaKAeoUHK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\nNhERkSTYtImIiCTxf0rjopTLnIe/AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1193df780>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pitchers = pitchers.assign(win_ratio = pitchers.W/ pitchers.L)\n",
    "pitchers.plot.scatter(x = 'GS', y = 'win_ratio', s=pitchers['salary']/900000, title = 'The Relationship Between GS, W/L, and Salary')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**It looks *win_ratio* still matters.** It can be seen that the bubble size for the points with win_ratio above 2 is relatively more abundant. The salary has a high correlation with *games started (GS)*. The seeming relationship between *L* and *salary* could be *GS*. Even though the players lost games, they can still contribute to the team by sharing the workload, and thus have a high reputation among team management."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The performance metrics such as higher *Strikeouts per game (SO_avg), Ratio of Winning (W_avg), Average Outs Pitched (IPouts_avg), Game Started (GS), and Batters faced by Pitcher (BFP), and lower Earned Run Average (ERA)* are related to high salary. In other words, a pitcher who has a better capability of dominating the game *(reflected by SO_avg, IPouts_avg, W_avg, ERA)* or can be a starter that deals with more batters *(reflecting by GS and BFP)*, tends to earn more."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Limitations\n",
    "\n",
    "Several conclusions can be drawn from the various sections of this analysis, but there are also numerous caveats that must be taken care of to prevent these conclusions from being accepted as fact. Since the **analysis only involves correlation testing, it cannot imply causation.** \n",
    "\n",
    "Many aspects were not accounted for in the study; they are listed below:\n",
    "1. **Age factor:** As a player gets older and accumulates more years spent in the league, their salary tends to increase even if their performance does not.\n",
    "2. **Randomness of statistics:** Some years are better pitching years and some years are better for batters. \n",
    "3. **Identification of other key-metrics:** No attempt to identify the most critical stats was made. The baseball-attributes used for solely on the basis of intuition."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Conclusion\n",
    "\n",
    "The statistical conclusions are presented at the end of each section.\n",
    "\n",
    "Overall, this project demonstrated the entire process of investigating a dataset including posing questions about a dataset, wrangling the data into a usable format, analyzing the data, and extracting appropriate conclusions.\n",
    "\n",
    "There are still multiple possibilities to test the inferences drawn from this analysis which might further strengthen the deductions or provide an alternative conclusion. The field of sabermetrics is fascinating; I wish to further try more analytical techniques to baseball and other sports."
   ]
  }
 ],
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