docs/source/notebooks/GLM-logistic.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# GLM: Logistic Regression\n",
    "\n",
    "* This is a reproduction with a few slight alterations of [Bayesian Log Reg](http://jbencook.github.io/portfolio/bayesian_logistic_regression.html) by J. Benjamin Cook\n",
    "\n",
    "* Author: Peadar Coyle and J. Benjamin Cook\n",
    "* How likely am I to make more than $50,000 US Dollars?\n",
    "* Exploration of model selection techniques too - I use WAIC to select the best model. \n",
    "* The convenience functions are all taken from Jon Sedars work.\n",
    "* This example also has some explorations of the features so serves as a good example of Exploratory Data Analysis and how that can guide the model creation/ model selection process. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import pymc3 as pm\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')\n",
    "from collections import OrderedDict\n",
    "from time import time\n",
    "\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "from scipy.optimize import fmin_powell\n",
    "from scipy import integrate\n",
    "\n",
    "import theano as thno\n",
    "import theano.tensor as T"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def run_models(df, upper_order=5):\n",
    "    ''' \n",
    "    Convenience function:\n",
    "    Fit a range of pymc3 models of increasing polynomial complexity. \n",
    "    Suggest limit to max order 5 since calculation time is exponential.\n",
    "    '''\n",
    "    \n",
    "    models, traces = OrderedDict(), OrderedDict()\n",
    "\n",
    "    for k in range(1,upper_order+1):\n",
    "\n",
    "        nm = 'k{}'.format(k)\n",
    "        fml = create_poly_modelspec(k)\n",
    "\n",
    "        with pm.Model() as models[nm]:\n",
    "\n",
    "            print('\\nRunning: {}'.format(nm))\n",
    "            pm.glm.GLM.from_formula(fml, df, family=pm.glm.families.Normal())\n",
    "\n",
    "            traces[nm] = pm.sample(2000, chains=1, init=None, tune=1000) \n",
    "            \n",
    "    return models, traces\n",
    "\n",
    "def plot_traces(traces, retain=1000):\n",
    "    ''' \n",
    "    Convenience function:\n",
    "    Plot traces with overlaid means and values\n",
    "    '''\n",
    "    \n",
    "    ax = pm.traceplot(traces[-retain:], figsize=(12,len(traces.varnames)*1.5),\n",
    "        lines={k: v['mean'] for k, v in pm.df_summary(traces[-retain:]).iterrows()})\n",
    "\n",
    "    for i, mn in enumerate(pm.df_summary(traces[-retain:])['mean']):\n",
    "        ax[i,0].annotate('{:.2f}'.format(mn), xy=(mn,0), xycoords='data'\n",
    "                    ,xytext=(5,10), textcoords='offset points', rotation=90\n",
    "                    ,va='bottom', fontsize='large', color='#AA0022')\n",
    "        \n",
    "def create_poly_modelspec(k=1):\n",
    "    ''' \n",
    "    Convenience function:\n",
    "    Create a polynomial modelspec string for patsy\n",
    "    '''\n",
    "    return ('income ~ educ + hours + age ' + ' '.join(['+ np.power(age,{})'.format(j) \n",
    "                                     for j in range(2,k+1)])).strip()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The [Adult Data Set](http://archive.ics.uci.edu/ml/datasets/Adult) is commonly used to benchmark machine learning algorithms. The goal is to use demographic features, or variables, to predict whether an individual makes more than \\\\$50,000 per year. The data set is almost 20 years old, and therefore, not perfect for determining the probability that I will make more than \\$50K, but it is a nice, simple dataset that can be used to showcase a few benefits of using Bayesian logistic regression over its frequentist counterpart.\n",
    "\n",
    "\n",
    "The motivation for myself to reproduce this piece of work was to learn how to use Odd Ratio in Bayesian Regression."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "data = pd.read_csv(\"https://archive.ics.uci.edu/ml/machine-learning-databases/adult/adult.data\", header=None, names=['age', 'workclass', 'fnlwgt', \n",
    "                'education-categorical', 'educ', \n",
    "                'marital-status', 'occupation',\n",
    "                'relationship', 'race', 'sex', \n",
    "                'captial-gain', 'capital-loss', \n",
    "                'hours', 'native-country', \n",
    "                'income'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>age</th>\n",
       "      <th>workclass</th>\n",
       "      <th>fnlwgt</th>\n",
       "      <th>education-categorical</th>\n",
       "      <th>educ</th>\n",
       "      <th>marital-status</th>\n",
       "      <th>occupation</th>\n",
       "      <th>relationship</th>\n",
       "      <th>race</th>\n",
       "      <th>sex</th>\n",
       "      <th>captial-gain</th>\n",
       "      <th>capital-loss</th>\n",
       "      <th>hours</th>\n",
       "      <th>native-country</th>\n",
       "      <th>income</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>39</td>\n",
       "      <td>State-gov</td>\n",
       "      <td>77516</td>\n",
       "      <td>Bachelors</td>\n",
       "      <td>13</td>\n",
       "      <td>Never-married</td>\n",
       "      <td>Adm-clerical</td>\n",
       "      <td>Not-in-family</td>\n",
       "      <td>White</td>\n",
       "      <td>Male</td>\n",
       "      <td>2174</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>50</td>\n",
       "      <td>Self-emp-not-inc</td>\n",
       "      <td>83311</td>\n",
       "      <td>Bachelors</td>\n",
       "      <td>13</td>\n",
       "      <td>Married-civ-spouse</td>\n",
       "      <td>Exec-managerial</td>\n",
       "      <td>Husband</td>\n",
       "      <td>White</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>13</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>38</td>\n",
       "      <td>Private</td>\n",
       "      <td>215646</td>\n",
       "      <td>HS-grad</td>\n",
       "      <td>9</td>\n",
       "      <td>Divorced</td>\n",
       "      <td>Handlers-cleaners</td>\n",
       "      <td>Not-in-family</td>\n",
       "      <td>White</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>53</td>\n",
       "      <td>Private</td>\n",
       "      <td>234721</td>\n",
       "      <td>11th</td>\n",
       "      <td>7</td>\n",
       "      <td>Married-civ-spouse</td>\n",
       "      <td>Handlers-cleaners</td>\n",
       "      <td>Husband</td>\n",
       "      <td>Black</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>28</td>\n",
       "      <td>Private</td>\n",
       "      <td>338409</td>\n",
       "      <td>Bachelors</td>\n",
       "      <td>13</td>\n",
       "      <td>Married-civ-spouse</td>\n",
       "      <td>Prof-specialty</td>\n",
       "      <td>Wife</td>\n",
       "      <td>Black</td>\n",
       "      <td>Female</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>Cuba</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>37</td>\n",
       "      <td>Private</td>\n",
       "      <td>284582</td>\n",
       "      <td>Masters</td>\n",
       "      <td>14</td>\n",
       "      <td>Married-civ-spouse</td>\n",
       "      <td>Exec-managerial</td>\n",
       "      <td>Wife</td>\n",
       "      <td>White</td>\n",
       "      <td>Female</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>49</td>\n",
       "      <td>Private</td>\n",
       "      <td>160187</td>\n",
       "      <td>9th</td>\n",
       "      <td>5</td>\n",
       "      <td>Married-spouse-absent</td>\n",
       "      <td>Other-service</td>\n",
       "      <td>Not-in-family</td>\n",
       "      <td>Black</td>\n",
       "      <td>Female</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>16</td>\n",
       "      <td>Jamaica</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>52</td>\n",
       "      <td>Self-emp-not-inc</td>\n",
       "      <td>209642</td>\n",
       "      <td>HS-grad</td>\n",
       "      <td>9</td>\n",
       "      <td>Married-civ-spouse</td>\n",
       "      <td>Exec-managerial</td>\n",
       "      <td>Husband</td>\n",
       "      <td>White</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>45</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&gt;50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>31</td>\n",
       "      <td>Private</td>\n",
       "      <td>45781</td>\n",
       "      <td>Masters</td>\n",
       "      <td>14</td>\n",
       "      <td>Never-married</td>\n",
       "      <td>Prof-specialty</td>\n",
       "      <td>Not-in-family</td>\n",
       "      <td>White</td>\n",
       "      <td>Female</td>\n",
       "      <td>14084</td>\n",
       "      <td>0</td>\n",
       "      <td>50</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&gt;50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>42</td>\n",
       "      <td>Private</td>\n",
       "      <td>159449</td>\n",
       "      <td>Bachelors</td>\n",
       "      <td>13</td>\n",
       "      <td>Married-civ-spouse</td>\n",
       "      <td>Exec-managerial</td>\n",
       "      <td>Husband</td>\n",
       "      <td>White</td>\n",
       "      <td>Male</td>\n",
       "      <td>5178</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&gt;50K</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   age          workclass  fnlwgt education-categorical  educ  \\\n",
       "0   39          State-gov   77516             Bachelors    13   \n",
       "1   50   Self-emp-not-inc   83311             Bachelors    13   \n",
       "2   38            Private  215646               HS-grad     9   \n",
       "3   53            Private  234721                  11th     7   \n",
       "4   28            Private  338409             Bachelors    13   \n",
       "5   37            Private  284582               Masters    14   \n",
       "6   49            Private  160187                   9th     5   \n",
       "7   52   Self-emp-not-inc  209642               HS-grad     9   \n",
       "8   31            Private   45781               Masters    14   \n",
       "9   42            Private  159449             Bachelors    13   \n",
       "\n",
       "           marital-status          occupation    relationship    race  \\\n",
       "0           Never-married        Adm-clerical   Not-in-family   White   \n",
       "1      Married-civ-spouse     Exec-managerial         Husband   White   \n",
       "2                Divorced   Handlers-cleaners   Not-in-family   White   \n",
       "3      Married-civ-spouse   Handlers-cleaners         Husband   Black   \n",
       "4      Married-civ-spouse      Prof-specialty            Wife   Black   \n",
       "5      Married-civ-spouse     Exec-managerial            Wife   White   \n",
       "6   Married-spouse-absent       Other-service   Not-in-family   Black   \n",
       "7      Married-civ-spouse     Exec-managerial         Husband   White   \n",
       "8           Never-married      Prof-specialty   Not-in-family   White   \n",
       "9      Married-civ-spouse     Exec-managerial         Husband   White   \n",
       "\n",
       "       sex  captial-gain  capital-loss  hours  native-country  income  \n",
       "0     Male          2174             0     40   United-States   <=50K  \n",
       "1     Male             0             0     13   United-States   <=50K  \n",
       "2     Male             0             0     40   United-States   <=50K  \n",
       "3     Male             0             0     40   United-States   <=50K  \n",
       "4   Female             0             0     40            Cuba   <=50K  \n",
       "5   Female             0             0     40   United-States   <=50K  \n",
       "6   Female             0             0     16         Jamaica   <=50K  \n",
       "7     Male             0             0     45   United-States    >50K  \n",
       "8   Female         14084             0     50   United-States    >50K  \n",
       "9     Male          5178             0     40   United-States    >50K  "
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.head(10)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Scrubbing and cleaning\n",
    "We need to remove any null entries in Income. \n",
    "And we also want to restrict this study to the United States."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "data = data[~pd.isnull(data['income'])]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>age</th>\n",
       "      <th>workclass</th>\n",
       "      <th>fnlwgt</th>\n",
       "      <th>education-categorical</th>\n",
       "      <th>educ</th>\n",
       "      <th>marital-status</th>\n",
       "      <th>occupation</th>\n",
       "      <th>relationship</th>\n",
       "      <th>race</th>\n",
       "      <th>sex</th>\n",
       "      <th>captial-gain</th>\n",
       "      <th>capital-loss</th>\n",
       "      <th>hours</th>\n",
       "      <th>native-country</th>\n",
       "      <th>income</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>39</td>\n",
       "      <td>State-gov</td>\n",
       "      <td>77516</td>\n",
       "      <td>Bachelors</td>\n",
       "      <td>13</td>\n",
       "      <td>Never-married</td>\n",
       "      <td>Adm-clerical</td>\n",
       "      <td>Not-in-family</td>\n",
       "      <td>White</td>\n",
       "      <td>Male</td>\n",
       "      <td>2174</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>50</td>\n",
       "      <td>Self-emp-not-inc</td>\n",
       "      <td>83311</td>\n",
       "      <td>Bachelors</td>\n",
       "      <td>13</td>\n",
       "      <td>Married-civ-spouse</td>\n",
       "      <td>Exec-managerial</td>\n",
       "      <td>Husband</td>\n",
       "      <td>White</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>13</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>38</td>\n",
       "      <td>Private</td>\n",
       "      <td>215646</td>\n",
       "      <td>HS-grad</td>\n",
       "      <td>9</td>\n",
       "      <td>Divorced</td>\n",
       "      <td>Handlers-cleaners</td>\n",
       "      <td>Not-in-family</td>\n",
       "      <td>White</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>53</td>\n",
       "      <td>Private</td>\n",
       "      <td>234721</td>\n",
       "      <td>11th</td>\n",
       "      <td>7</td>\n",
       "      <td>Married-civ-spouse</td>\n",
       "      <td>Handlers-cleaners</td>\n",
       "      <td>Husband</td>\n",
       "      <td>Black</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>37</td>\n",
       "      <td>Private</td>\n",
       "      <td>284582</td>\n",
       "      <td>Masters</td>\n",
       "      <td>14</td>\n",
       "      <td>Married-civ-spouse</td>\n",
       "      <td>Exec-managerial</td>\n",
       "      <td>Wife</td>\n",
       "      <td>White</td>\n",
       "      <td>Female</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>52</td>\n",
       "      <td>Self-emp-not-inc</td>\n",
       "      <td>209642</td>\n",
       "      <td>HS-grad</td>\n",
       "      <td>9</td>\n",
       "      <td>Married-civ-spouse</td>\n",
       "      <td>Exec-managerial</td>\n",
       "      <td>Husband</td>\n",
       "      <td>White</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>45</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&gt;50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>31</td>\n",
       "      <td>Private</td>\n",
       "      <td>45781</td>\n",
       "      <td>Masters</td>\n",
       "      <td>14</td>\n",
       "      <td>Never-married</td>\n",
       "      <td>Prof-specialty</td>\n",
       "      <td>Not-in-family</td>\n",
       "      <td>White</td>\n",
       "      <td>Female</td>\n",
       "      <td>14084</td>\n",
       "      <td>0</td>\n",
       "      <td>50</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&gt;50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>42</td>\n",
       "      <td>Private</td>\n",
       "      <td>159449</td>\n",
       "      <td>Bachelors</td>\n",
       "      <td>13</td>\n",
       "      <td>Married-civ-spouse</td>\n",
       "      <td>Exec-managerial</td>\n",
       "      <td>Husband</td>\n",
       "      <td>White</td>\n",
       "      <td>Male</td>\n",
       "      <td>5178</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&gt;50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>37</td>\n",
       "      <td>Private</td>\n",
       "      <td>280464</td>\n",
       "      <td>Some-college</td>\n",
       "      <td>10</td>\n",
       "      <td>Married-civ-spouse</td>\n",
       "      <td>Exec-managerial</td>\n",
       "      <td>Husband</td>\n",
       "      <td>Black</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>80</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&gt;50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>23</td>\n",
       "      <td>Private</td>\n",
       "      <td>122272</td>\n",
       "      <td>Bachelors</td>\n",
       "      <td>13</td>\n",
       "      <td>Never-married</td>\n",
       "      <td>Adm-clerical</td>\n",
       "      <td>Own-child</td>\n",
       "      <td>White</td>\n",
       "      <td>Female</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>30</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>32</td>\n",
       "      <td>Private</td>\n",
       "      <td>205019</td>\n",
       "      <td>Assoc-acdm</td>\n",
       "      <td>12</td>\n",
       "      <td>Never-married</td>\n",
       "      <td>Sales</td>\n",
       "      <td>Not-in-family</td>\n",
       "      <td>Black</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>50</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>25</td>\n",
       "      <td>Self-emp-not-inc</td>\n",
       "      <td>176756</td>\n",
       "      <td>HS-grad</td>\n",
       "      <td>9</td>\n",
       "      <td>Never-married</td>\n",
       "      <td>Farming-fishing</td>\n",
       "      <td>Own-child</td>\n",
       "      <td>White</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>35</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>32</td>\n",
       "      <td>Private</td>\n",
       "      <td>186824</td>\n",
       "      <td>HS-grad</td>\n",
       "      <td>9</td>\n",
       "      <td>Never-married</td>\n",
       "      <td>Machine-op-inspct</td>\n",
       "      <td>Unmarried</td>\n",
       "      <td>White</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>38</td>\n",
       "      <td>Private</td>\n",
       "      <td>28887</td>\n",
       "      <td>11th</td>\n",
       "      <td>7</td>\n",
       "      <td>Married-civ-spouse</td>\n",
       "      <td>Sales</td>\n",
       "      <td>Husband</td>\n",
       "      <td>White</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>50</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>43</td>\n",
       "      <td>Self-emp-not-inc</td>\n",
       "      <td>292175</td>\n",
       "      <td>Masters</td>\n",
       "      <td>14</td>\n",
       "      <td>Divorced</td>\n",
       "      <td>Exec-managerial</td>\n",
       "      <td>Unmarried</td>\n",
       "      <td>White</td>\n",
       "      <td>Female</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>45</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&gt;50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>40</td>\n",
       "      <td>Private</td>\n",
       "      <td>193524</td>\n",
       "      <td>Doctorate</td>\n",
       "      <td>16</td>\n",
       "      <td>Married-civ-spouse</td>\n",
       "      <td>Prof-specialty</td>\n",
       "      <td>Husband</td>\n",
       "      <td>White</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>60</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&gt;50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>54</td>\n",
       "      <td>Private</td>\n",
       "      <td>302146</td>\n",
       "      <td>HS-grad</td>\n",
       "      <td>9</td>\n",
       "      <td>Separated</td>\n",
       "      <td>Other-service</td>\n",
       "      <td>Unmarried</td>\n",
       "      <td>Black</td>\n",
       "      <td>Female</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>20</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>35</td>\n",
       "      <td>Federal-gov</td>\n",
       "      <td>76845</td>\n",
       "      <td>9th</td>\n",
       "      <td>5</td>\n",
       "      <td>Married-civ-spouse</td>\n",
       "      <td>Farming-fishing</td>\n",
       "      <td>Husband</td>\n",
       "      <td>Black</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>43</td>\n",
       "      <td>Private</td>\n",
       "      <td>117037</td>\n",
       "      <td>11th</td>\n",
       "      <td>7</td>\n",
       "      <td>Married-civ-spouse</td>\n",
       "      <td>Transport-moving</td>\n",
       "      <td>Husband</td>\n",
       "      <td>White</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>2042</td>\n",
       "      <td>40</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>59</td>\n",
       "      <td>Private</td>\n",
       "      <td>109015</td>\n",
       "      <td>HS-grad</td>\n",
       "      <td>9</td>\n",
       "      <td>Divorced</td>\n",
       "      <td>Tech-support</td>\n",
       "      <td>Unmarried</td>\n",
       "      <td>White</td>\n",
       "      <td>Female</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>56</td>\n",
       "      <td>Local-gov</td>\n",
       "      <td>216851</td>\n",
       "      <td>Bachelors</td>\n",
       "      <td>13</td>\n",
       "      <td>Married-civ-spouse</td>\n",
       "      <td>Tech-support</td>\n",
       "      <td>Husband</td>\n",
       "      <td>White</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&gt;50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>19</td>\n",
       "      <td>Private</td>\n",
       "      <td>168294</td>\n",
       "      <td>HS-grad</td>\n",
       "      <td>9</td>\n",
       "      <td>Never-married</td>\n",
       "      <td>Craft-repair</td>\n",
       "      <td>Own-child</td>\n",
       "      <td>White</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>39</td>\n",
       "      <td>Private</td>\n",
       "      <td>367260</td>\n",
       "      <td>HS-grad</td>\n",
       "      <td>9</td>\n",
       "      <td>Divorced</td>\n",
       "      <td>Exec-managerial</td>\n",
       "      <td>Not-in-family</td>\n",
       "      <td>White</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>80</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>49</td>\n",
       "      <td>Private</td>\n",
       "      <td>193366</td>\n",
       "      <td>HS-grad</td>\n",
       "      <td>9</td>\n",
       "      <td>Married-civ-spouse</td>\n",
       "      <td>Craft-repair</td>\n",
       "      <td>Husband</td>\n",
       "      <td>White</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>23</td>\n",
       "      <td>Local-gov</td>\n",
       "      <td>190709</td>\n",
       "      <td>Assoc-acdm</td>\n",
       "      <td>12</td>\n",
       "      <td>Never-married</td>\n",
       "      <td>Protective-serv</td>\n",
       "      <td>Not-in-family</td>\n",
       "      <td>White</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>52</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>20</td>\n",
       "      <td>Private</td>\n",
       "      <td>266015</td>\n",
       "      <td>Some-college</td>\n",
       "      <td>10</td>\n",
       "      <td>Never-married</td>\n",
       "      <td>Sales</td>\n",
       "      <td>Own-child</td>\n",
       "      <td>Black</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>44</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>45</td>\n",
       "      <td>Private</td>\n",
       "      <td>386940</td>\n",
       "      <td>Bachelors</td>\n",
       "      <td>13</td>\n",
       "      <td>Divorced</td>\n",
       "      <td>Exec-managerial</td>\n",
       "      <td>Own-child</td>\n",
       "      <td>White</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>1408</td>\n",
       "      <td>40</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>30</td>\n",
       "      <td>Federal-gov</td>\n",
       "      <td>59951</td>\n",
       "      <td>Some-college</td>\n",
       "      <td>10</td>\n",
       "      <td>Married-civ-spouse</td>\n",
       "      <td>Adm-clerical</td>\n",
       "      <td>Own-child</td>\n",
       "      <td>White</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>22</td>\n",
       "      <td>State-gov</td>\n",
       "      <td>311512</td>\n",
       "      <td>Some-college</td>\n",
       "      <td>10</td>\n",
       "      <td>Married-civ-spouse</td>\n",
       "      <td>Other-service</td>\n",
       "      <td>Husband</td>\n",
       "      <td>Black</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>15</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>21</td>\n",
       "      <td>Private</td>\n",
       "      <td>197200</td>\n",
       "      <td>Some-college</td>\n",
       "      <td>10</td>\n",
       "      <td>Never-married</td>\n",
       "      <td>Machine-op-inspct</td>\n",
       "      <td>Own-child</td>\n",
       "      <td>White</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32528</th>\n",
       "      <td>31</td>\n",
       "      <td>Private</td>\n",
       "      <td>292592</td>\n",
       "      <td>HS-grad</td>\n",
       "      <td>9</td>\n",
       "      <td>Married-civ-spouse</td>\n",
       "      <td>Machine-op-inspct</td>\n",
       "      <td>Wife</td>\n",
       "      <td>White</td>\n",
       "      <td>Female</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32529</th>\n",
       "      <td>29</td>\n",
       "      <td>Private</td>\n",
       "      <td>125976</td>\n",
       "      <td>HS-grad</td>\n",
       "      <td>9</td>\n",
       "      <td>Separated</td>\n",
       "      <td>Sales</td>\n",
       "      <td>Unmarried</td>\n",
       "      <td>White</td>\n",
       "      <td>Female</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>35</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32530</th>\n",
       "      <td>35</td>\n",
       "      <td>?</td>\n",
       "      <td>320084</td>\n",
       "      <td>Bachelors</td>\n",
       "      <td>13</td>\n",
       "      <td>Married-civ-spouse</td>\n",
       "      <td>?</td>\n",
       "      <td>Wife</td>\n",
       "      <td>White</td>\n",
       "      <td>Female</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>55</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&gt;50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32531</th>\n",
       "      <td>30</td>\n",
       "      <td>?</td>\n",
       "      <td>33811</td>\n",
       "      <td>Bachelors</td>\n",
       "      <td>13</td>\n",
       "      <td>Never-married</td>\n",
       "      <td>?</td>\n",
       "      <td>Not-in-family</td>\n",
       "      <td>Asian-Pac-Islander</td>\n",
       "      <td>Female</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>99</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32532</th>\n",
       "      <td>34</td>\n",
       "      <td>Private</td>\n",
       "      <td>204461</td>\n",
       "      <td>Doctorate</td>\n",
       "      <td>16</td>\n",
       "      <td>Married-civ-spouse</td>\n",
       "      <td>Prof-specialty</td>\n",
       "      <td>Husband</td>\n",
       "      <td>White</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>60</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&gt;50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32534</th>\n",
       "      <td>37</td>\n",
       "      <td>Private</td>\n",
       "      <td>179137</td>\n",
       "      <td>Some-college</td>\n",
       "      <td>10</td>\n",
       "      <td>Divorced</td>\n",
       "      <td>Adm-clerical</td>\n",
       "      <td>Unmarried</td>\n",
       "      <td>White</td>\n",
       "      <td>Female</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>39</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32535</th>\n",
       "      <td>22</td>\n",
       "      <td>Private</td>\n",
       "      <td>325033</td>\n",
       "      <td>12th</td>\n",
       "      <td>8</td>\n",
       "      <td>Never-married</td>\n",
       "      <td>Protective-serv</td>\n",
       "      <td>Own-child</td>\n",
       "      <td>Black</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>35</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32536</th>\n",
       "      <td>34</td>\n",
       "      <td>Private</td>\n",
       "      <td>160216</td>\n",
       "      <td>Bachelors</td>\n",
       "      <td>13</td>\n",
       "      <td>Never-married</td>\n",
       "      <td>Exec-managerial</td>\n",
       "      <td>Not-in-family</td>\n",
       "      <td>White</td>\n",
       "      <td>Female</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>55</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&gt;50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32537</th>\n",
       "      <td>30</td>\n",
       "      <td>Private</td>\n",
       "      <td>345898</td>\n",
       "      <td>HS-grad</td>\n",
       "      <td>9</td>\n",
       "      <td>Never-married</td>\n",
       "      <td>Craft-repair</td>\n",
       "      <td>Not-in-family</td>\n",
       "      <td>Black</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>46</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32538</th>\n",
       "      <td>38</td>\n",
       "      <td>Private</td>\n",
       "      <td>139180</td>\n",
       "      <td>Bachelors</td>\n",
       "      <td>13</td>\n",
       "      <td>Divorced</td>\n",
       "      <td>Prof-specialty</td>\n",
       "      <td>Unmarried</td>\n",
       "      <td>Black</td>\n",
       "      <td>Female</td>\n",
       "      <td>15020</td>\n",
       "      <td>0</td>\n",
       "      <td>45</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&gt;50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32539</th>\n",
       "      <td>71</td>\n",
       "      <td>?</td>\n",
       "      <td>287372</td>\n",
       "      <td>Doctorate</td>\n",
       "      <td>16</td>\n",
       "      <td>Married-civ-spouse</td>\n",
       "      <td>?</td>\n",
       "      <td>Husband</td>\n",
       "      <td>White</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>10</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&gt;50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32540</th>\n",
       "      <td>45</td>\n",
       "      <td>State-gov</td>\n",
       "      <td>252208</td>\n",
       "      <td>HS-grad</td>\n",
       "      <td>9</td>\n",
       "      <td>Separated</td>\n",
       "      <td>Adm-clerical</td>\n",
       "      <td>Own-child</td>\n",
       "      <td>White</td>\n",
       "      <td>Female</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32541</th>\n",
       "      <td>41</td>\n",
       "      <td>?</td>\n",
       "      <td>202822</td>\n",
       "      <td>HS-grad</td>\n",
       "      <td>9</td>\n",
       "      <td>Separated</td>\n",
       "      <td>?</td>\n",
       "      <td>Not-in-family</td>\n",
       "      <td>Black</td>\n",
       "      <td>Female</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>32</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32542</th>\n",
       "      <td>72</td>\n",
       "      <td>?</td>\n",
       "      <td>129912</td>\n",
       "      <td>HS-grad</td>\n",
       "      <td>9</td>\n",
       "      <td>Married-civ-spouse</td>\n",
       "      <td>?</td>\n",
       "      <td>Husband</td>\n",
       "      <td>White</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>25</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32543</th>\n",
       "      <td>45</td>\n",
       "      <td>Local-gov</td>\n",
       "      <td>119199</td>\n",
       "      <td>Assoc-acdm</td>\n",
       "      <td>12</td>\n",
       "      <td>Divorced</td>\n",
       "      <td>Prof-specialty</td>\n",
       "      <td>Unmarried</td>\n",
       "      <td>White</td>\n",
       "      <td>Female</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>48</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32544</th>\n",
       "      <td>31</td>\n",
       "      <td>Private</td>\n",
       "      <td>199655</td>\n",
       "      <td>Masters</td>\n",
       "      <td>14</td>\n",
       "      <td>Divorced</td>\n",
       "      <td>Other-service</td>\n",
       "      <td>Not-in-family</td>\n",
       "      <td>Other</td>\n",
       "      <td>Female</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>30</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32545</th>\n",
       "      <td>39</td>\n",
       "      <td>Local-gov</td>\n",
       "      <td>111499</td>\n",
       "      <td>Assoc-acdm</td>\n",
       "      <td>12</td>\n",
       "      <td>Married-civ-spouse</td>\n",
       "      <td>Adm-clerical</td>\n",
       "      <td>Wife</td>\n",
       "      <td>White</td>\n",
       "      <td>Female</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>20</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&gt;50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32546</th>\n",
       "      <td>37</td>\n",
       "      <td>Private</td>\n",
       "      <td>198216</td>\n",
       "      <td>Assoc-acdm</td>\n",
       "      <td>12</td>\n",
       "      <td>Divorced</td>\n",
       "      <td>Tech-support</td>\n",
       "      <td>Not-in-family</td>\n",
       "      <td>White</td>\n",
       "      <td>Female</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32548</th>\n",
       "      <td>65</td>\n",
       "      <td>Self-emp-not-inc</td>\n",
       "      <td>99359</td>\n",
       "      <td>Prof-school</td>\n",
       "      <td>15</td>\n",
       "      <td>Never-married</td>\n",
       "      <td>Prof-specialty</td>\n",
       "      <td>Not-in-family</td>\n",
       "      <td>White</td>\n",
       "      <td>Male</td>\n",
       "      <td>1086</td>\n",
       "      <td>0</td>\n",
       "      <td>60</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32549</th>\n",
       "      <td>43</td>\n",
       "      <td>State-gov</td>\n",
       "      <td>255835</td>\n",
       "      <td>Some-college</td>\n",
       "      <td>10</td>\n",
       "      <td>Divorced</td>\n",
       "      <td>Adm-clerical</td>\n",
       "      <td>Other-relative</td>\n",
       "      <td>White</td>\n",
       "      <td>Female</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32550</th>\n",
       "      <td>43</td>\n",
       "      <td>Self-emp-not-inc</td>\n",
       "      <td>27242</td>\n",
       "      <td>Some-college</td>\n",
       "      <td>10</td>\n",
       "      <td>Married-civ-spouse</td>\n",
       "      <td>Craft-repair</td>\n",
       "      <td>Husband</td>\n",
       "      <td>White</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>50</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32551</th>\n",
       "      <td>32</td>\n",
       "      <td>Private</td>\n",
       "      <td>34066</td>\n",
       "      <td>10th</td>\n",
       "      <td>6</td>\n",
       "      <td>Married-civ-spouse</td>\n",
       "      <td>Handlers-cleaners</td>\n",
       "      <td>Husband</td>\n",
       "      <td>Amer-Indian-Eskimo</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32552</th>\n",
       "      <td>43</td>\n",
       "      <td>Private</td>\n",
       "      <td>84661</td>\n",
       "      <td>Assoc-voc</td>\n",
       "      <td>11</td>\n",
       "      <td>Married-civ-spouse</td>\n",
       "      <td>Sales</td>\n",
       "      <td>Husband</td>\n",
       "      <td>White</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>45</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32554</th>\n",
       "      <td>53</td>\n",
       "      <td>Private</td>\n",
       "      <td>321865</td>\n",
       "      <td>Masters</td>\n",
       "      <td>14</td>\n",
       "      <td>Married-civ-spouse</td>\n",
       "      <td>Exec-managerial</td>\n",
       "      <td>Husband</td>\n",
       "      <td>White</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&gt;50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32555</th>\n",
       "      <td>22</td>\n",
       "      <td>Private</td>\n",
       "      <td>310152</td>\n",
       "      <td>Some-college</td>\n",
       "      <td>10</td>\n",
       "      <td>Never-married</td>\n",
       "      <td>Protective-serv</td>\n",
       "      <td>Not-in-family</td>\n",
       "      <td>White</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32556</th>\n",
       "      <td>27</td>\n",
       "      <td>Private</td>\n",
       "      <td>257302</td>\n",
       "      <td>Assoc-acdm</td>\n",
       "      <td>12</td>\n",
       "      <td>Married-civ-spouse</td>\n",
       "      <td>Tech-support</td>\n",
       "      <td>Wife</td>\n",
       "      <td>White</td>\n",
       "      <td>Female</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>38</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32557</th>\n",
       "      <td>40</td>\n",
       "      <td>Private</td>\n",
       "      <td>154374</td>\n",
       "      <td>HS-grad</td>\n",
       "      <td>9</td>\n",
       "      <td>Married-civ-spouse</td>\n",
       "      <td>Machine-op-inspct</td>\n",
       "      <td>Husband</td>\n",
       "      <td>White</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&gt;50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32558</th>\n",
       "      <td>58</td>\n",
       "      <td>Private</td>\n",
       "      <td>151910</td>\n",
       "      <td>HS-grad</td>\n",
       "      <td>9</td>\n",
       "      <td>Widowed</td>\n",
       "      <td>Adm-clerical</td>\n",
       "      <td>Unmarried</td>\n",
       "      <td>White</td>\n",
       "      <td>Female</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32559</th>\n",
       "      <td>22</td>\n",
       "      <td>Private</td>\n",
       "      <td>201490</td>\n",
       "      <td>HS-grad</td>\n",
       "      <td>9</td>\n",
       "      <td>Never-married</td>\n",
       "      <td>Adm-clerical</td>\n",
       "      <td>Own-child</td>\n",
       "      <td>White</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>20</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&lt;=50K</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32560</th>\n",
       "      <td>52</td>\n",
       "      <td>Self-emp-inc</td>\n",
       "      <td>287927</td>\n",
       "      <td>HS-grad</td>\n",
       "      <td>9</td>\n",
       "      <td>Married-civ-spouse</td>\n",
       "      <td>Exec-managerial</td>\n",
       "      <td>Wife</td>\n",
       "      <td>White</td>\n",
       "      <td>Female</td>\n",
       "      <td>15024</td>\n",
       "      <td>0</td>\n",
       "      <td>40</td>\n",
       "      <td>United-States</td>\n",
       "      <td>&gt;50K</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>29170 rows × 15 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "       age          workclass  fnlwgt education-categorical  educ  \\\n",
       "0       39          State-gov   77516             Bachelors    13   \n",
       "1       50   Self-emp-not-inc   83311             Bachelors    13   \n",
       "2       38            Private  215646               HS-grad     9   \n",
       "3       53            Private  234721                  11th     7   \n",
       "5       37            Private  284582               Masters    14   \n",
       "7       52   Self-emp-not-inc  209642               HS-grad     9   \n",
       "8       31            Private   45781               Masters    14   \n",
       "9       42            Private  159449             Bachelors    13   \n",
       "10      37            Private  280464          Some-college    10   \n",
       "12      23            Private  122272             Bachelors    13   \n",
       "13      32            Private  205019            Assoc-acdm    12   \n",
       "16      25   Self-emp-not-inc  176756               HS-grad     9   \n",
       "17      32            Private  186824               HS-grad     9   \n",
       "18      38            Private   28887                  11th     7   \n",
       "19      43   Self-emp-not-inc  292175               Masters    14   \n",
       "20      40            Private  193524             Doctorate    16   \n",
       "21      54            Private  302146               HS-grad     9   \n",
       "22      35        Federal-gov   76845                   9th     5   \n",
       "23      43            Private  117037                  11th     7   \n",
       "24      59            Private  109015               HS-grad     9   \n",
       "25      56          Local-gov  216851             Bachelors    13   \n",
       "26      19            Private  168294               HS-grad     9   \n",
       "28      39            Private  367260               HS-grad     9   \n",
       "29      49            Private  193366               HS-grad     9   \n",
       "30      23          Local-gov  190709            Assoc-acdm    12   \n",
       "31      20            Private  266015          Some-college    10   \n",
       "32      45            Private  386940             Bachelors    13   \n",
       "33      30        Federal-gov   59951          Some-college    10   \n",
       "34      22          State-gov  311512          Some-college    10   \n",
       "36      21            Private  197200          Some-college    10   \n",
       "...    ...                ...     ...                   ...   ...   \n",
       "32528   31            Private  292592               HS-grad     9   \n",
       "32529   29            Private  125976               HS-grad     9   \n",
       "32530   35                  ?  320084             Bachelors    13   \n",
       "32531   30                  ?   33811             Bachelors    13   \n",
       "32532   34            Private  204461             Doctorate    16   \n",
       "32534   37            Private  179137          Some-college    10   \n",
       "32535   22            Private  325033                  12th     8   \n",
       "32536   34            Private  160216             Bachelors    13   \n",
       "32537   30            Private  345898               HS-grad     9   \n",
       "32538   38            Private  139180             Bachelors    13   \n",
       "32539   71                  ?  287372             Doctorate    16   \n",
       "32540   45          State-gov  252208               HS-grad     9   \n",
       "32541   41                  ?  202822               HS-grad     9   \n",
       "32542   72                  ?  129912               HS-grad     9   \n",
       "32543   45          Local-gov  119199            Assoc-acdm    12   \n",
       "32544   31            Private  199655               Masters    14   \n",
       "32545   39          Local-gov  111499            Assoc-acdm    12   \n",
       "32546   37            Private  198216            Assoc-acdm    12   \n",
       "32548   65   Self-emp-not-inc   99359           Prof-school    15   \n",
       "32549   43          State-gov  255835          Some-college    10   \n",
       "32550   43   Self-emp-not-inc   27242          Some-college    10   \n",
       "32551   32            Private   34066                  10th     6   \n",
       "32552   43            Private   84661             Assoc-voc    11   \n",
       "32554   53            Private  321865               Masters    14   \n",
       "32555   22            Private  310152          Some-college    10   \n",
       "32556   27            Private  257302            Assoc-acdm    12   \n",
       "32557   40            Private  154374               HS-grad     9   \n",
       "32558   58            Private  151910               HS-grad     9   \n",
       "32559   22            Private  201490               HS-grad     9   \n",
       "32560   52       Self-emp-inc  287927               HS-grad     9   \n",
       "\n",
       "            marital-status          occupation     relationship  \\\n",
       "0            Never-married        Adm-clerical    Not-in-family   \n",
       "1       Married-civ-spouse     Exec-managerial          Husband   \n",
       "2                 Divorced   Handlers-cleaners    Not-in-family   \n",
       "3       Married-civ-spouse   Handlers-cleaners          Husband   \n",
       "5       Married-civ-spouse     Exec-managerial             Wife   \n",
       "7       Married-civ-spouse     Exec-managerial          Husband   \n",
       "8            Never-married      Prof-specialty    Not-in-family   \n",
       "9       Married-civ-spouse     Exec-managerial          Husband   \n",
       "10      Married-civ-spouse     Exec-managerial          Husband   \n",
       "12           Never-married        Adm-clerical        Own-child   \n",
       "13           Never-married               Sales    Not-in-family   \n",
       "16           Never-married     Farming-fishing        Own-child   \n",
       "17           Never-married   Machine-op-inspct        Unmarried   \n",
       "18      Married-civ-spouse               Sales          Husband   \n",
       "19                Divorced     Exec-managerial        Unmarried   \n",
       "20      Married-civ-spouse      Prof-specialty          Husband   \n",
       "21               Separated       Other-service        Unmarried   \n",
       "22      Married-civ-spouse     Farming-fishing          Husband   \n",
       "23      Married-civ-spouse    Transport-moving          Husband   \n",
       "24                Divorced        Tech-support        Unmarried   \n",
       "25      Married-civ-spouse        Tech-support          Husband   \n",
       "26           Never-married        Craft-repair        Own-child   \n",
       "28                Divorced     Exec-managerial    Not-in-family   \n",
       "29      Married-civ-spouse        Craft-repair          Husband   \n",
       "30           Never-married     Protective-serv    Not-in-family   \n",
       "31           Never-married               Sales        Own-child   \n",
       "32                Divorced     Exec-managerial        Own-child   \n",
       "33      Married-civ-spouse        Adm-clerical        Own-child   \n",
       "34      Married-civ-spouse       Other-service          Husband   \n",
       "36           Never-married   Machine-op-inspct        Own-child   \n",
       "...                    ...                 ...              ...   \n",
       "32528   Married-civ-spouse   Machine-op-inspct             Wife   \n",
       "32529            Separated               Sales        Unmarried   \n",
       "32530   Married-civ-spouse                   ?             Wife   \n",
       "32531        Never-married                   ?    Not-in-family   \n",
       "32532   Married-civ-spouse      Prof-specialty          Husband   \n",
       "32534             Divorced        Adm-clerical        Unmarried   \n",
       "32535        Never-married     Protective-serv        Own-child   \n",
       "32536        Never-married     Exec-managerial    Not-in-family   \n",
       "32537        Never-married        Craft-repair    Not-in-family   \n",
       "32538             Divorced      Prof-specialty        Unmarried   \n",
       "32539   Married-civ-spouse                   ?          Husband   \n",
       "32540            Separated        Adm-clerical        Own-child   \n",
       "32541            Separated                   ?    Not-in-family   \n",
       "32542   Married-civ-spouse                   ?          Husband   \n",
       "32543             Divorced      Prof-specialty        Unmarried   \n",
       "32544             Divorced       Other-service    Not-in-family   \n",
       "32545   Married-civ-spouse        Adm-clerical             Wife   \n",
       "32546             Divorced        Tech-support    Not-in-family   \n",
       "32548        Never-married      Prof-specialty    Not-in-family   \n",
       "32549             Divorced        Adm-clerical   Other-relative   \n",
       "32550   Married-civ-spouse        Craft-repair          Husband   \n",
       "32551   Married-civ-spouse   Handlers-cleaners          Husband   \n",
       "32552   Married-civ-spouse               Sales          Husband   \n",
       "32554   Married-civ-spouse     Exec-managerial          Husband   \n",
       "32555        Never-married     Protective-serv    Not-in-family   \n",
       "32556   Married-civ-spouse        Tech-support             Wife   \n",
       "32557   Married-civ-spouse   Machine-op-inspct          Husband   \n",
       "32558              Widowed        Adm-clerical        Unmarried   \n",
       "32559        Never-married        Adm-clerical        Own-child   \n",
       "32560   Married-civ-spouse     Exec-managerial             Wife   \n",
       "\n",
       "                      race      sex  captial-gain  capital-loss  hours  \\\n",
       "0                    White     Male          2174             0     40   \n",
       "1                    White     Male             0             0     13   \n",
       "2                    White     Male             0             0     40   \n",
       "3                    Black     Male             0             0     40   \n",
       "5                    White   Female             0             0     40   \n",
       "7                    White     Male             0             0     45   \n",
       "8                    White   Female         14084             0     50   \n",
       "9                    White     Male          5178             0     40   \n",
       "10                   Black     Male             0             0     80   \n",
       "12                   White   Female             0             0     30   \n",
       "13                   Black     Male             0             0     50   \n",
       "16                   White     Male             0             0     35   \n",
       "17                   White     Male             0             0     40   \n",
       "18                   White     Male             0             0     50   \n",
       "19                   White   Female             0             0     45   \n",
       "20                   White     Male             0             0     60   \n",
       "21                   Black   Female             0             0     20   \n",
       "22                   Black     Male             0             0     40   \n",
       "23                   White     Male             0          2042     40   \n",
       "24                   White   Female             0             0     40   \n",
       "25                   White     Male             0             0     40   \n",
       "26                   White     Male             0             0     40   \n",
       "28                   White     Male             0             0     80   \n",
       "29                   White     Male             0             0     40   \n",
       "30                   White     Male             0             0     52   \n",
       "31                   Black     Male             0             0     44   \n",
       "32                   White     Male             0          1408     40   \n",
       "33                   White     Male             0             0     40   \n",
       "34                   Black     Male             0             0     15   \n",
       "36                   White     Male             0             0     40   \n",
       "...                    ...      ...           ...           ...    ...   \n",
       "32528                White   Female             0             0     40   \n",
       "32529                White   Female             0             0     35   \n",
       "32530                White   Female             0             0     55   \n",
       "32531   Asian-Pac-Islander   Female             0             0     99   \n",
       "32532                White     Male             0             0     60   \n",
       "32534                White   Female             0             0     39   \n",
       "32535                Black     Male             0             0     35   \n",
       "32536                White   Female             0             0     55   \n",
       "32537                Black     Male             0             0     46   \n",
       "32538                Black   Female         15020             0     45   \n",
       "32539                White     Male             0             0     10   \n",
       "32540                White   Female             0             0     40   \n",
       "32541                Black   Female             0             0     32   \n",
       "32542                White     Male             0             0     25   \n",
       "32543                White   Female             0             0     48   \n",
       "32544                Other   Female             0             0     30   \n",
       "32545                White   Female             0             0     20   \n",
       "32546                White   Female             0             0     40   \n",
       "32548                White     Male          1086             0     60   \n",
       "32549                White   Female             0             0     40   \n",
       "32550                White     Male             0             0     50   \n",
       "32551   Amer-Indian-Eskimo     Male             0             0     40   \n",
       "32552                White     Male             0             0     45   \n",
       "32554                White     Male             0             0     40   \n",
       "32555                White     Male             0             0     40   \n",
       "32556                White   Female             0             0     38   \n",
       "32557                White     Male             0             0     40   \n",
       "32558                White   Female             0             0     40   \n",
       "32559                White     Male             0             0     20   \n",
       "32560                White   Female         15024             0     40   \n",
       "\n",
       "       native-country  income  \n",
       "0       United-States   <=50K  \n",
       "1       United-States   <=50K  \n",
       "2       United-States   <=50K  \n",
       "3       United-States   <=50K  \n",
       "5       United-States   <=50K  \n",
       "7       United-States    >50K  \n",
       "8       United-States    >50K  \n",
       "9       United-States    >50K  \n",
       "10      United-States    >50K  \n",
       "12      United-States   <=50K  \n",
       "13      United-States   <=50K  \n",
       "16      United-States   <=50K  \n",
       "17      United-States   <=50K  \n",
       "18      United-States   <=50K  \n",
       "19      United-States    >50K  \n",
       "20      United-States    >50K  \n",
       "21      United-States   <=50K  \n",
       "22      United-States   <=50K  \n",
       "23      United-States   <=50K  \n",
       "24      United-States   <=50K  \n",
       "25      United-States    >50K  \n",
       "26      United-States   <=50K  \n",
       "28      United-States   <=50K  \n",
       "29      United-States   <=50K  \n",
       "30      United-States   <=50K  \n",
       "31      United-States   <=50K  \n",
       "32      United-States   <=50K  \n",
       "33      United-States   <=50K  \n",
       "34      United-States   <=50K  \n",
       "36      United-States   <=50K  \n",
       "...               ...     ...  \n",
       "32528   United-States   <=50K  \n",
       "32529   United-States   <=50K  \n",
       "32530   United-States    >50K  \n",
       "32531   United-States   <=50K  \n",
       "32532   United-States    >50K  \n",
       "32534   United-States   <=50K  \n",
       "32535   United-States   <=50K  \n",
       "32536   United-States    >50K  \n",
       "32537   United-States   <=50K  \n",
       "32538   United-States    >50K  \n",
       "32539   United-States    >50K  \n",
       "32540   United-States   <=50K  \n",
       "32541   United-States   <=50K  \n",
       "32542   United-States   <=50K  \n",
       "32543   United-States   <=50K  \n",
       "32544   United-States   <=50K  \n",
       "32545   United-States    >50K  \n",
       "32546   United-States   <=50K  \n",
       "32548   United-States   <=50K  \n",
       "32549   United-States   <=50K  \n",
       "32550   United-States   <=50K  \n",
       "32551   United-States   <=50K  \n",
       "32552   United-States   <=50K  \n",
       "32554   United-States    >50K  \n",
       "32555   United-States   <=50K  \n",
       "32556   United-States   <=50K  \n",
       "32557   United-States    >50K  \n",
       "32558   United-States   <=50K  \n",
       "32559   United-States   <=50K  \n",
       "32560   United-States    >50K  \n",
       "\n",
       "[29170 rows x 15 columns]"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data[data['native-country']==\" United-States\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "income = 1 * (data['income'] == \" >50K\")\n",
    "age2 = np.square(data['age'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "data = data[['age', 'educ', 'hours']]\n",
    "data['age2'] = age2\n",
    "data['income'] = income"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0    24720\n",
       "1     7841\n",
       "Name: income, dtype: int64"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "income.value_counts()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Exploring the data \n",
    "Let us get a feel for the parameters. \n",
    "* We see that age is a tailed distribution. Certainly not Gaussian!\n",
    "* We don't see much of a correlation between many of the features, with the exception of Age and Age2. \n",
    "* Hours worked has some interesting behaviour. How would one describe this distribution? \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA34AAAN8CAYAAAAH4XgfAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f938d4477f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "g = seaborn.pairplot(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x7f938c13e7f0>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAlIAAAIMCAYAAAA+W0L0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n/wH46SMnkLuo5QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f938c34fcf8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Compute the correlation matrix\n",
    "corr = data.corr()\n",
    "\n",
    "# Generate a mask for the upper triangle\n",
    "mask = np.zeros_like(corr, 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 = seaborn.diverging_palette(220, 10, as_cmap=True)\n",
    "\n",
    "# Draw the heatmap with the mask and correct aspect ratio\n",
    "seaborn.heatmap(corr, mask=mask, cmap=cmap, vmax=.3,\n",
    "            linewidths=.5, cbar_kws={\"shrink\": .5}, ax=ax)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We see here not many strong correlations. The highest is 0.30 according to this plot. We see a weak-correlation between hours and income \n",
    "(which is logical), we see a slighty stronger correlation between education and income (which is the kind of question we are answering)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The model\n",
    "We will use a simple model, which assumes that the probability of making more than $50K \n",
    "is a function of age, years of education and hours worked per week. We will use PyMC3 \n",
    "do inference. \n",
    "\n",
    "In Bayesian statistics, we treat everything as a random variable and we want to know the posterior probability distribution of the parameters\n",
    "(in this case the regression coefficients)\n",
    "The posterior is equal to the likelihood $$p(\\theta | D) = \\frac{p(D|\\theta)p(\\theta)}{p(D)}$$\n",
    "\n",
    "Because the denominator is a notoriously difficult integral, $p(D) = \\int p(D | \\theta) p(\\theta) d \\theta $ we would prefer to skip computing it. Fortunately, if we draw examples from the parameter space, with probability proportional to the height of the posterior at any given point, we end up with an empirical distribution that converges to the posterior as the number of samples approaches infinity.  \n",
    "\n",
    "What this means in practice is that we only need to worry about the numerator. \n",
    "\n",
    "Getting back to logistic regression, we need to specify a prior and a likelihood in order to draw samples from the posterior. We could use sociological knowledge about the effects of age and education on income, but instead, let's use the default prior specification for GLM coefficients that PyMC3 gives us, which is $p(θ)=N(0,10^{12}I)$. This is a very vague prior that will let the data speak for themselves.\n",
    "\n",
    "The likelihood is the product of n Bernoulli trials, $\\prod^{n}_{i=1} p_{i}^{y} (1 - p_{i})^{1-y_{i}}$,\n",
    "where $p_i = \\frac{1}{1 + e^{-z_i}}$, \n",
    "\n",
    "$z_{i} = \\beta_{0} + \\beta_{1}(age)_{i} + \\beta_2(age)^{2}_{i} + \\beta_{3}(educ)_{i} + \\beta_{4}(hours)_{i}$ and $y_{i} = 1$ if income is greater than 50K and $y_{i} = 0$ otherwise. \n",
    "\n",
    "With the math out of the way we can get back to the data. Here I use PyMC3 to draw samples from the posterior. The sampling algorithm used is NUTS, which is a form of Hamiltonian Monte Carlo, in which parameteres are tuned automatically. Notice, that we get to borrow the syntax of specifying GLM's from R, very convenient! I use a convenience function from above to plot the trace infromation from the first 1000 parameters. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using jitter+adapt_diag...\n",
      "Sequential sampling (1 chains in 1 job)\n",
      "NUTS: [hours, educ, age2, age, Intercept]\n",
      "100%|██████████| 3000/3000 [22:29<00:00,  2.22it/s]\n",
      "The acceptance probability does not match the target. It is 0.944638073234, but should be close to 0.8. Try to increase the number of tuning steps.\n",
      "Only one chain was sampled, this makes it impossible to run some convergence checks\n"
     ]
    }
   ],
   "source": [
    "with pm.Model() as logistic_model:\n",
    "    pm.glm.GLM.from_formula('income ~ age + age2 + educ + hours', data, family=pm.glm.families.Binomial())\n",
    "    trace_logistic_model = pm.sample(2000, chains=1, tune=1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA1gAAAIUCAYAAAAHco0LAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f93578ad9e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_traces(trace_logistic_model, retain=1000)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Some results \n",
    "One of the major benefits that makes Bayesian data analysis worth the extra computational effort in many circumstances is that we can be explicit about our uncertainty. Maximum likelihood returns a number, but how certain can we be that we found the right number? Instead, Bayesian inference returns a distribution over parameter values.\n",
    "\n",
    "I'll use seaborn to look at the distribution of some of these factors. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9355afe518>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAbUAAAGoCAYAAADB4nuYAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n61dbOV+CkQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9355acf1d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(9,7))\n",
    "trace = trace_logistic_model[1000:]\n",
    "seaborn.jointplot(trace['age'], trace['educ'], kind=\"hex\", color=\"#4CB391\")\n",
    "plt.xlabel(\"beta_age\")\n",
    "plt.ylabel(\"beta_educ\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "So how do age and education affect the probability of making more than $$50K?$ To answer this question, we can show how the probability of making more than $50K changes with age for a few different education levels. Here, we assume that the number of hours worked per week is fixed at 50. PyMC3 gives us a convenient way to plot the posterior predictive distribution. We need to give the function a linear model and a set of points to evaluate. We will pass in three different linear models: one with educ == 12 (finished high school), one with educ == 16 (finished undergrad) and one with educ == 19 (three years of grad school)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Linear model with hours == 50 and educ == 12\n",
    "lm = lambda x, samples: 1 / (1 + np.exp(-(samples['Intercept'] + \n",
    "                                          samples['age']*x + \n",
    "                                          samples['age2']*np.square(x) + \n",
    "                                          samples['educ']*12 + \n",
    "                                          samples['hours']*50)))\n",
    "\n",
    "# Linear model with hours == 50 and educ == 16\n",
    "lm2 = lambda x, samples: 1 / (1 + np.exp(-(samples['Intercept'] + \n",
    "                                          samples['age']*x + \n",
    "                                          samples['age2']*np.square(x) + \n",
    "                                          samples['educ']*16 + \n",
    "                                          samples['hours']*50)))\n",
    "\n",
    "# Linear model with hours == 50 and educ == 19\n",
    "lm3 = lambda x, samples: 1 / (1 + np.exp(-(samples['Intercept'] + \n",
    "                                          samples['age']*x + \n",
    "                                          samples['age2']*np.square(x) + \n",
    "                                          samples['educ']*19 + \n",
    "                                          samples['hours']*50)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "Each curve shows how the probability of earning more than $ 50K$ changes with age. The red curve represents 19 years of education, the green curve represents 16 years of education and the blue curve represents 12 years of education. For all three education levels, the probability of making more than $50K increases with age until approximately age 60, when the probability begins to drop off. Notice that each curve is a little blurry. This is because we are actually plotting 100 different curves for each level of education. Each curve is a draw from our posterior distribution. Because the curves are somewhat translucent, we can interpret dark, narrow portions of a curve as places where we have low uncertainty and light, spread out portions of the curve as places where we have somewhat higher uncertainty about our coefficient values."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYUAAAEWCAYAAACJ0YulAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYDC0Y0TBYDAYDO38f5k7VQROFh2dAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f93558f1668>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot the posterior predictive distributions of P(income > $50K) vs. age\n",
    "pm.plot_posterior_predictive_glm(trace, eval=np.linspace(25, 75, 1000), lm=lm, samples=100, color=\"blue\", alpha=.15)\n",
    "pm.plot_posterior_predictive_glm(trace, eval=np.linspace(25, 75, 1000), lm=lm2, samples=100, color=\"green\", alpha=.15)\n",
    "pm.plot_posterior_predictive_glm(trace, eval=np.linspace(25, 75, 1000), lm=lm3, samples=100, color=\"red\", alpha=.15)\n",
    "import matplotlib.lines as mlines\n",
    "blue_line = mlines.Line2D(['lm'], [], color='b', label='High School Education')\n",
    "green_line = mlines.Line2D(['lm2'], [], color='g', label='Bachelors')\n",
    "red_line = mlines.Line2D(['lm3'], [], color='r', label='Grad School')\n",
    "plt.legend(handles=[blue_line, green_line, red_line], loc='lower right')\n",
    "plt.ylabel(\"P(Income > $50K)\")\n",
    "plt.xlabel(\"Age\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXQAAAEKCAYAAAACS67iAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f93559cf7b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "b = trace['educ']\n",
    "plt.hist(np.exp(b), bins=20, normed=True)\n",
    "plt.xlabel(\"Odds Ratio\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "Finally, we can find a credible interval (remember kids - credible intervals are Bayesian and confidence intervals are frequentist) for this quantity. This may be the best part about Bayesian statistics: we get to interpret credibility intervals the way we've always wanted to interpret them. We are 95% confident that the odds ratio lies within our interval!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "P(2.617 < O.R. < 2.824) = 0.95\n"
     ]
    }
   ],
   "source": [
    "lb, ub = np.percentile(b, 2.5), np.percentile(b, 97.5)\n",
    "\n",
    "print(\"P(%.3f < O.R. < %.3f) = 0.95\"%(np.exp(3*lb),np.exp(3*ub)))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "## Model selection \n",
    "\n",
    "One question that was immediately asked was what effect does age have on the model, and why should it be $age^2$ versus age? We'll run the model with a few changes to see what effect higher order terms have on this model in terms of WAIC. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Running: k1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Sequential sampling (1 chains in 1 job)\n",
      "NUTS: [sd_log__, age, hours, educ, Intercept]\n",
      "100%|██████████| 3000/3000 [00:31<00:00, 94.25it/s]\n",
      "Only one chain was sampled, this makes it impossible to run some convergence checks\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Running: k2\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Sequential sampling (1 chains in 1 job)\n",
      "NUTS: [sd_log__, np.power(age, 2), age, hours, educ, Intercept]\n",
      "100%|██████████| 3000/3000 [02:10<00:00, 22.97it/s]\n",
      "Only one chain was sampled, this makes it impossible to run some convergence checks\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Running: k3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Sequential sampling (1 chains in 1 job)\n",
      "NUTS: [sd_log__, np.power(age, 3), np.power(age, 2), age, hours, educ, Intercept]\n",
      "100%|██████████| 3000/3000 [09:24<00:00,  5.31it/s]\n",
      "Only one chain was sampled, this makes it impossible to run some convergence checks\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Running: k4\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Sequential sampling (1 chains in 1 job)\n",
      "NUTS: [sd_log__, np.power(age, 4), np.power(age, 3), np.power(age, 2), age, hours, educ, Intercept]\n",
      "100%|██████████| 3000/3000 [32:01<00:00,  1.56it/s]\n",
      "The acceptance probability does not match the target. It is 0.885654681782, but should be close to 0.8. Try to increase the number of tuning steps.\n",
      "The chain reached the maximum tree depth. Increase max_treedepth, increase target_accept or reparameterize.\n",
      "Only one chain was sampled, this makes it impossible to run some convergence checks\n"
     ]
    }
   ],
   "source": [
    "models_lin, traces_lin = run_models(data, 4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAagAAAGoCAYAAAATsnHAAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nktQlAyVJ6tL/A/pPmdh0WcZOAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f9343c12f60>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dfwaic = pd.DataFrame(index=['k1','k2','k3','k4'], columns=['lin'])\n",
    "dfwaic.index.name = 'model'\n",
    "\n",
    "for nm in dfwaic.index:\n",
    "    dfwaic.loc[nm, 'lin'] = pm.waic(traces_lin[nm],models_lin[nm])[0]\n",
    "\n",
    "\n",
    "dfwaic = pd.melt(dfwaic.reset_index(), id_vars=['model'], var_name='poly', value_name='waic')\n",
    "\n",
    "g = seaborn.factorplot(x='model', y='waic', col='poly', hue='poly', data=dfwaic, kind='bar', size=6)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "WAIC confirms our decision to use age^2. "
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.3"
  },
  "latex_envs": {
   "bibliofile": "biblio.bib",
   "cite_by": "apalike",
   "current_citInitial": 1,
   "eqLabelWithNumbers": true,
   "eqNumInitial": 0
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}