{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Project Problem and Hypothesis\n",
    "  * This project is to verify Angela Duckworth's study on \"Grit\" and attempt to expand on it with other features present in their dataset (http://angeladuckworth.com/).  I will also set out to verify current scientific assumptions of the differences between genders and big five personality traits.\n",
    "    * On average, individuals who are gritty are more self-controlled, but the correlation between these two traits is not perfect: Some individuals are paragons of grit but not self-control, and some exceptionally well-regulated individuals are not especially gritty (Duckworth & Gross, 2014)\n",
    "    * Feel free to take the test!  (http://angeladuckworth.com/grit-scale/) My score was 3.3 (average).\n",
    "  * This dataset has many features and I have the opportunity to try different hypothesis.  My main focus will be to predict a \"grit\" score from personality traits and demographic data.\n",
    "    * Specifically, Duckworth mentioned on the Freakonomics Podcast, that the big five trait conscientiousness as an existing success factor, and I'd like to see how similar grit and this trait are.\n",
    "    * We can test some widely accepted personality traits by gender as well.\n",
    "    \n",
    "## Caveats and Wishes\n",
    "  * This data is reflects people that took this online personality test survey.  It may be biased toward people who are interested in how gritty they are (potentially people who are already gritty).\n",
    "  * Only users who were willing to share their data for research purposes are present in the data.\n",
    "  * Some things that would make this dataset even better would be the 10 aspects of the big 5, IQ, some sort of success criteria, and political affiliation.  Additionally, if all survey takers took the same test a year later, we could find more results.\n",
    "\n",
    "Neuroticism|Agreeableness|Conscientiousness|Extroversion|Openness/Intellect\n",
    "-----------|-------------|-----------------|------------|------------------\n",
    "Volatility|Compassion|Industriousness|Enthusiasm|Openness\n",
    "Withdrawal|Politeness|Orderliness|Assertiveness|Intellect"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 281,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "import numpy as np\n",
    "from matplotlib import pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Load the data and remove a test set"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 282,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "full = pd.read_csv(\"../duckworth-grit-scale-data/cleanData.csv\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 283,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3958"
      ]
     },
     "execution_count": 283,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(full)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 284,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "del full['Unnamed: 0']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 285,
   "metadata": {},
   "outputs": [],
   "source": [
    "full['isgritty'] = np.where(full['grit'] > 3.0, 1, 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 290,
   "metadata": {},
   "outputs": [],
   "source": [
    "full['liar'] = full['liar'].astype(int)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 322,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from random import shuffle\n",
    "n = len(full) #number of rows in your dataset\n",
    "indices = range(n)\n",
    "shuffle(indices)\n",
    "\n",
    "df = full.loc[indices[:3000]]\n",
    "dfTest = full.loc[indices[3000:]]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Generate a heatmap of all of the features in the dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 292,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x12b37b5d0>"
      ]
     },
     "execution_count": 292,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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5ucC5j3Q9ztElSZIkSZKklmCiS5IkSZIkSS3BWxclSZIkSZImSKNRY1Z/bTVH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CAAAg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FVWmOO0qpC0KbA37rx+qaQ9zOyEjmHH4Nf2zut0zQm4mZm9NeXYCtksZWbrSjoK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\nJEmSpJFg0SVJkiRJkqSR8D+cHyv5QN0BxAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x128818c50>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib import pyplot\n",
    "\n",
    "dims = (20, 20)\n",
    "fig, ax = pyplot.subplots(figsize=dims)\n",
    "\n",
    "#cols = [c for c in df.columns if (c.lower()[:8] != 'country_' or \\\n",
    "#        c == 'country_US') and 'os' not in c and 'screen' not in c and 'browser' not in c]\n",
    "cols = [c for c in df.columns if (c.lower()[:8] != 'country_')]\n",
    "dfCorr=df[cols]\n",
    "\n",
    "corr = dfCorr.corr()\n",
    "#Pastel1 terrain\n",
    "sns.heatmap(ax=ax,data=corr,cmap=\"terrain\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### There's so much to see here!\n",
    "\n",
    "#### Who are gritty people?\n",
    " * Married, educated, older voters who are conscientious and agreeable without being prone to emotional anxiety.\n",
    " * Internet explorer users tend to be grittier.\n",
    "\n",
    "\n",
    "#### Big 5 and gender\n",
    " * The biggest differences in the big 5 personality traits and gender are opennes, neuroticism, and agreeableness.\n",
    " * We'll take a closer look at agreeableness.\n",
    "\n",
    "#### Validating the data\n",
    " * Older people tend to be married, educated, voter who have developed \"positive\" big 5 traits\n",
    " * iOS users have smaller screens and use the Safari browser.  Windows users have larger screens and often use the Chrome browser.\n",
    " * Hindu and Buddhist survey takers tended to be Asian\n",
    " * Muslim survey takers tended to be Arabian.\n",
    "\n",
    "#### The \"liar\"  (confidence/invalid) column\n",
    " * Whites lied more often, Asians were more honest\n",
    " * If you say you write with both hands, you're a liar\n",
    " * Liars answer more positively about themselves\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 558,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count    2211.000000\n",
       "mean        3.210274\n",
       "std         0.693705\n",
       "min         1.166667\n",
       "25%         2.666667\n",
       "50%         3.250000\n",
       "75%         3.750000\n",
       "max         5.000000\n",
       "Name: grit, dtype: float64"
      ]
     },
     "execution_count": 558,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df['grit'].describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Differences in agreeableness by gender\n",
    "Let's bootstrap the mean from both groups and compare them to each other and the data in general."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 293,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.lines.Line2D at 0x1277198d0>"
      ]
     },
     "execution_count": 293,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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46xPv465PvM/oGAm1viofiwUON/QQDMpNz1QjhVwsSyAY5OSlAfKybTIqMA1k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\nhRAixf1/KANkQJRvh38AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x128db6510>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def get_agree_means(df):\n",
    "    menDf = df[df['gender'] == 1]\n",
    "    sample_of_sample = [np.random.choice(menDf['agreeableness'],size=len(menDf),replace=True)]\n",
    "    return np.mean(sample_of_sample)\n",
    "\n",
    "men_agree_means = [get_agree_means(df) for _ in range(10000)]\n",
    "fig, ax = plt.subplots()\n",
    "sns.distplot(men_agree_means)\n",
    "ax.axvline(np.mean(df[df['gender'] == 1]['agreeableness']),linestyle='--',color='red')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 294,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.lines.Line2D at 0x12762ce10>"
      ]
     },
     "execution_count": 294,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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jN31Ba62TkFXMww+fOcrAcIgNy4vZczzzf4WvefFJAI5++k8tTpJ8N15ezcG6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\nICnuQgiRgaS4CyFEBpLiLoQQGej/A45rAUNStKPgAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x128818290>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def get_agree_means(df):\n",
    "    menDf = df[df['gender'] == 0]\n",
    "    sample_of_sample = [np.random.choice(menDf['agreeableness'],size=len(menDf),replace=True)]\n",
    "    return np.mean(sample_of_sample)\n",
    "\n",
    "women_agree_means = [get_agree_means(df) for _ in range(10000)]\n",
    "fig, ax = plt.subplots()\n",
    "sns.distplot(women_agree_means)\n",
    "ax.axvline(np.mean(df[df['gender'] == 0]['agreeableness']),linestyle='--',color='red')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### How confident are we that the means differ?\n",
    "100% confident.  There is no overlap in our male bootsrap samples and female bootstrap samples.  We can keep this confidence up until about a difference of ~1.5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 295,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "37.3986152324\n",
      "38.978381096\n",
      "1.57976586359\n",
      "0\n"
     ]
    }
   ],
   "source": [
    "count = 0\n",
    "men_max = np.max(men_agree_means)\n",
    "women_min = np.min(women_agree_means)\n",
    "print men_max\n",
    "print women_min\n",
    "print women_min - men_max\n",
    "for mean in women_agree_means:\n",
    "    if mean < men_max:\n",
    "        count += 1\n",
    "print count"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 296,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "38.5476666667\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.lines.Line2D at 0x12a8e5850>"
      ]
     },
     "execution_count": 296,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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AsFZr/XDYsmJgO3CN1vpglGsXwnYOn+jiaFMPS2YXUZyfGZVt5tz1EfPBz9dPaDsv77Lm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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x128989ed0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "print np.mean(df['agreeableness'])\n",
    "fig, ax = plt.subplots()\n",
    "sns.distplot(df['agreeableness'])\n",
    "ax.axvline(np.mean(df['agreeableness']),linestyle='--',color='red')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The mean of the bootsrap samples difference is just under a half of a standard deviation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 297,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x12b079910>"
      ]
     },
     "execution_count": 297,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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PEhm1j1JcYuH12rS1mMSucuBdmnlh3l2mZkCSuxBvcrK+h0OnO8kOeLh9cwVe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\nEGlIkrsQQqQhSe5CCJGG/n/x3oC0AuFdNwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x12a9eb110>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.distplot(df[df['gender'] == 1]['agreeableness'], label=\"men\")\n",
    "sns.distplot(df[df['gender'] == 0]['agreeableness'], label=\"women\")\n",
    "\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 298,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "count    3000.000000\n",
       "mean       38.547667\n",
       "std         7.307452\n",
       "min        10.000000\n",
       "25%        34.000000\n",
       "50%        40.000000\n",
       "75%        44.000000\n",
       "max        51.000000\n",
       "Name: agreeableness, dtype: float64"
      ]
     },
     "execution_count": 298,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df['agreeableness'].describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Differences in openness?\n",
    "* Present, but not as drastic as agreeableness"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 299,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x12b23ab10>"
      ]
     },
     "execution_count": 299,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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iwA88qLUu61Z+B/BPQAjYoLV+qltZNrAPuEVrXTrIsQtxTW2u3M4HZ7eRm5TD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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x12b23a310>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.distplot(df[df['gender'] == 1]['openness'], label=\"men\")\n",
    "sns.distplot(df[df['gender'] == 0]['openness'], label=\"women\")\n",
    "\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### As suspected, grit is most highly correlated with conscientiousness:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 300,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.61463512284440447"
      ]
     },
     "execution_count": 300,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df['grit'].corr(df['conscientiousness'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Train linear regression and decision tree models to describe the data "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 345,
   "metadata": {},
   "outputs": [],
   "source": [
    "indFeats = ['education','gender','age','voted','familysize','extroversion','neuroticism',\\\n",
    "           'agreeableness','conscientiousness','openness','married_never','married_currently'\\\n",
    "           ]#'married_previously','liar'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 559,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from sklearn import datasets, linear_model\n",
    "from sklearn.metrics import mean_squared_error, mean_absolute_error\n",
    "\n",
    "df = df[df['liar'] < 1]\n",
    "dfTest = dfTest[dfTest['liar'] < 1]\n",
    "\n",
    "# Create a features DF\n",
    "dfX = df[indFeats]\n",
    "df_test_X = dfTest[indFeats]\n",
    "\n",
    "# Create a label DF\n",
    "dfY = df['grit']\n",
    "df_test_Y = dfTest['grit']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 353,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "from sklearn.preprocessing import normalize\n",
    "data = normalize(dfX, axis=0, norm='max')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Linear regression with statsmodels (normalize to show feature importance):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 546,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                            OLS Regression Results                            \n",
      "==============================================================================\n",
      "Dep. Variable:               isgritty   R-squared:                       0.709\n",
      "Model:                            OLS   Adj. R-squared:                  0.707\n",
      "Method:                 Least Squares   F-statistic:                     446.4\n",
      "Date:                Tue, 26 Sep 2017   Prob (F-statistic):               0.00\n",
      "Time:                        11:12:27   Log-Likelihood:                -1185.7\n",
      "No. Observations:                2211   AIC:                             2395.\n",
      "Df Residuals:                    2199   BIC:                             2464.\n",
      "Df Model:                          12                                         \n",
      "Covariance Type:            nonrobust                                         \n",
      "=====================================================================================\n",
      "                        coef    std err          t      P>|t|      [0.025      0.975]\n",
      "-------------------------------------------------------------------------------------\n",
      "education             0.0286      0.011      2.556      0.011       0.007       0.051\n",
      "gender               -0.0347      0.020     -1.770      0.077      -0.073       0.004\n",
      "age                4.396e-05      0.001      0.051      0.959      -0.002       0.002\n",
      "voted                -0.0039      0.021     -0.188      0.851      -0.045       0.037\n",
      "familysize            0.0044      0.005      0.840      0.401      -0.006       0.015\n",
      "extroversion          0.0016      0.001      1.518      0.129      -0.000       0.004\n",
      "neuroticism          -0.0105      0.001    -10.992      0.000      -0.012      -0.009\n",
      "agreeableness         0.0047      0.001      3.543      0.000       0.002       0.007\n",
      "conscientiousness     0.0264      0.001     22.003      0.000       0.024       0.029\n",
      "openness             -0.0038      0.002     -2.437      0.015      -0.007      -0.001\n",
      "married_never        -0.1381      0.039     -3.578      0.000      -0.214      -0.062\n",
      "married_currently    -0.0551      0.043     -1.293      0.196      -0.139       0.029\n",
      "==============================================================================\n",
      "Omnibus:                      669.048   Durbin-Watson:                   2.055\n",
      "Prob(Omnibus):                  0.000   Jarque-Bera (JB):              111.886\n",
      "Skew:                          -0.161   Prob(JB):                     5.06e-25\n",
      "Kurtosis:                       1.946   Cond. No.                         499.\n",
      "==============================================================================\n",
      "\n",
      "Warnings:\n",
      "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n"
     ]
    }
   ],
   "source": [
    "import statsmodels.api as sm\n",
    "\n",
    "model = sm.OLS(dfY,dfX)\n",
    "results = model.fit()\n",
    "print results.summary()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Linear regression with sklearn:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 550,
   "metadata": {},
   "outputs": [],
   "source": [
    "lm = linear_model.LinearRegression()\n",
    "lm.fit(dfX, dfY)\n",
    "\n",
    "dfPred = lm.predict(df_test_X)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## With the LR model trained, let's look at the coefficients and visualize the results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 560,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['education', 'gender', 'age', 'voted', 'familysize', 'extroversion', 'neuroticism', 'agreeableness', 'conscientiousness', 'openness', 'married_never', 'married_currently']\n",
      "('Coefficients: ', array([ 0.03245315, -0.01947561,  0.00098068, -0.00539197,  0.00915535,\n",
      "        0.00239531, -0.00787071,  0.00653773,  0.02850376,  0.00017041,\n",
      "       -0.04914387,  0.00048606]))\n",
      "('Intercept: ', -0.53366561411052738)\n",
      "Mean squared error: 7.15\n",
      "Mean squared error: 2.62\n"
     ]
    }
   ],
   "source": [
    "print indFeats\n",
    "# The coefficients\n",
    "print('Coefficients: ', lm.coef_)\n",
    "print('Intercept: ', lm.intercept_)\n",
    "# The mean squared error\n",
    "print(\"Mean squared error: %.2f\" % mean_squared_error(np.array(df_test_Y),dfPred))\n",
    "print(\"Mean absolute error: %.2f\" % mean_absolute_error(np.array(df_test_Y),dfPred))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Keep in mind, education is ordinal\n",
    " * Less than high school\n",
    " * High school\n",
    " * University degree\n",
    " * Graduate degree\n",
    "\n",
    "Gender and \"liar\" appear to have a big affect, but keep in mind the range of conscientiousness is 10-50"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 552,
   "metadata": {},
   "outputs": [
    {
     "data": {
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tAZ4PfDEidgGu6tl2DfDoiLgvcAulO/FfmnFc3wTenJkX93leSZKkzuk3cH0Z2CsiLqWM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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x13496f790>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dims = (10, 10)\n",
    "fig, ax = pyplot.subplots(figsize=dims)\n",
    "sns.plt.title('Coefficients for all Features Predicting Grit')\n",
    "g = sns.barplot(ax=ax, x=indFeats, y=lm.coef_).set_xticklabels(rotation=90,labels=indFeats)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Let's visualize predictions in terms of conscientiousness and another feature (neuroticism)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 340,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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GImDb0YpZVSnyQiMY8YP4IE8l+yFMSZlK9kOYjDY/BImhjJMhVu+SSZhjvser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\niOSllzSUcnzVdu2y2Ldv6QTHy/1XWnpcTjlnCc20b5+9Yj6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B/R1fI7LtBQ5OPbdq+DHT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iNmWTpyF9uurlHidoIoSaK4nYjsD5idlWCWGpUyWS+lIJs1Bf+liPdo2k0zmt6FFa8g3SrCqSPd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rsWv57tgxyauvSi6OaliWiZWGV4XDTTdJjh5d2d+rlSopFCAWE3R3u8zMSGxbR9ehqcklFhO+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\nPmH5Z9da6b+yLpbt2hScAlEtiq7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7v8dEaZL+TB9XnLaOmzfdQsZr3cAI206c44WSSHUQ\nSbZ2/bq/C7i7+nOK4AhXzYXAs9bawwDGmK3AG6rbdI3axenPPBPE6QwOwvnnxyjbcYkXz9eWz6hd\n81VTLgd3LjaauGUy8FLun9hz+BBeOkUmnaNMhT2Hn2PVmUfIZN7Yvh1so7vtHWx7ZRvpVJreTB+l\nSvlY/M37Lriu4TY3brmBbS9vxUt59KRzlCtltr28lRu33MDn3vhHLetb2HbC7FMYrtqJO9VBJNna\n8mveWjtmrS0YY/IEk7BP1j09BByt+3MBOKkd/Yizhx7y+M53Mmzfnub730+zfXua73wnw0MPLe4t\nKZVgdJS2XRcVJvZnwwaftWvL+D5MTR1fMmLDhsYXzhfLRUZP/xYrzthHxYdyMUPFhxVn7KOw5h9a\nGmPkSpi4m7HiGNv3fm/OEQ0v5bFj36MNo4/CCNtOnOOFkkh1EEm+tp3oMsacBXwd+BNr7e11T40C\n9Vfy5IEjC73eySf3k8kc/zIaHu7ci4FKJXjwwWCNq97e46frxsbgwQd7eNe7mp/i833YsgWspXpE\nKo8xsGnT/GtqLbV/e/fCihVzn9u7F04+uXn/fvZng+0nJqC/f/5TlSPjI5QzU5xz+XP45ecpTefI\n9BTx0j6TM5Pk8j7DAwu/z3EaCyPjI5S8afqyc8+ZNtunAyMvUqxMk8vMvaZnujTFVO4I5wyfvmDb\nC9UhbDth9imMVrUTp/EQhurQWqpDQHWIVw3adcH9auA+4Nestf886+mngbXVa8HGCE45fnah1zx8\neOLYz52+Zsnhw7BnTy89PXOf27MHnntuipNPbrzt1q3Hl3PI53spFKbYvh2OHCm3bGmGQgEOHsw2\nvOZqagpeeGFmURfCN4sOqimWPTJ+D5NT1Zw9b5ryDDADWa+XYsFbcNmAuI2FOftUp9k+9RZXkEv1\nUC6V52zT4/XSW1yx4D4upg5h2wmzT2G0op24jYcwVIfWUR0CqkNk63w1fa5dVxd9AjgZ+JQx5v7q\nfz9vjPmItXYGuAG4F3iY4G7HuanGiddscdvmi966CqJ2FfvjKrbGpTD7FCb6KIyw7cQ5XiiJVAeR\n5GvLkS9r7W8AvzHP898EvtmOtjtBPg9r1lQYGUmdcKrQ94PHmx1VCrOcQxhhLp4Pa7O5FoBd+3dS\nKBbI5/KsW7Xu2OOdKMw+3bzpFm7ccgM79j3K+MwEA9l+Ll99JTdvuqWlfQvbjqv3KYnjIQzVQSTZ\nFC8UkQce8LjvvgwHDqQol1Ok0xVOPbXC295W4g1vaHz6sFSC227LHst+rJ12hGDidv31My2bGNXu\ndrQ2fez6LWPadzemq1gdl1yu87XUOiR1na84j4cwVIflUR0CqoPihaRq40YfzythbZrxcRgYOD65\nacblEamaVCqYiLUwO7khV7E1LoXZpzDRR2GEbSfO8UJJpDqIJJMmXxHxvGACtn69v6RFVmuTs2ef\nTTM5ufByDmHVlprIZDh28f9COY0iIiKyME2+IrbUYO36SdvAQC/j46071Viz0IX969f7LW8ziTEq\nYfYp7DYj4yMUy17sYozCSuJ4iHvNRcQdTb46VCYDQ0MLL+cQhqsL+yGZMSph9mm525S8aTJ+T2xi\njMJK4niIe81FxL3O/DaTtnK11AQcj1EpVconxKjcbe9oXSOOhdmn5W7Tl13cNrV4oXKlPCdeKA6S\nOB7iXnMRcU+TL5mjdmF/edZanOUynHde6y7sT2KMSph9crWNqxijsJI4HuJecxGJhiZf0tBScxrD\nGC2OMjbT+JdPoVhgtDjasrZcCbNPrrZ5efwlJkqTDbcZn5ng5fFo1zpO4niIe81FJBq64EAaCns3\n5lIM5YYYzA5SqsyNu8nn8gzlhlrboANh9snVNmsGzqA/0zdn5XSAgWw/awbOaLpfLiRxPMS95iIS\nDR35knnV7sZsxxpiSYxRCbNPrrZxFWMUVhLHQ9xrLiLR0ORLIrXZXMuG0zeQ9TJMlSbJehk2nL6h\no2NUwuzTcreZnFncNjdvuoUNazaS8TJMl4tkvAwb1mxseYxRWEkcD3GvuYi4p3ihDpakOiQxRsXl\nOl+5vE+xoHW+4jweXNY8znVwSXUIqA6KFxJpKIkxKmH2Kew2wwN5RiYW/8XiKsYorCSOh7jXXETc\n0WlHEREREYc0+eoiY8Uxnjls2762ULFc5MDkgdiuy+Sqfy7bCeKF4lnvMFyNVUmuJH4uJDl02rEL\nuIo3iXs0jKv+RdHOYuOF4k5RPLJcSfxcSPJoJHYBV/EmcY+GcdW/KNpZbLxQ3CmKR5YriZ8LSR5N\nvhLOVbxJ3KNhXPUvae24pCgeWa4kfi4kmTT5SjhX8SZxj4Zx1b+kteOSonhkuZL4uZBk0uQr4Wrx\nJo20Mt6kFg3TSByiYVz1L2ntuORqrEpyJfFzIcmkyVfCuYo3iXs0jKv+Ja0dlxTFI8uVxM+FJJMm\nX13AVbxJ3KNhXPUvinYWGy8Ud4rikeVK4udCkkfxQh1sqXVwFW8SNhomjDBjwVX/XLaz1HihuAs7\nVvXdEFAdkvm5CEvjQfFCEiFX8SZxj4Zx1T+X7Sw1XijuFMUjy5XEz4Ukh047ioiIiDikyVfE4h7F\nE0YS90mkRuM7PNVOJKDTjhGJexRPGEncJ5Eaje/wVDuRE2nUN1EqQaEQ/L8d4h7FE0YS90mkRuM7\nPNVO5ESafM3i+7B1q8dtt2W5/fYst92WZetWD99feNvFSmIERhL3SaRG4zs81U5kLk2+Ztm2zWP3\n7jSpFPT1QSoFu3en2batdaVKYgRGEvdJpEbjOzzVTmQuTb7qlErw7LNp0if+A410Oni8VacgkxiB\nkcR9EqnR+A5PtROZS5OvOpOTMD3d+LliMXi+FZIYgZHEfRKp0fgOT7UTmUt3O9bp64Pe3sbP5XLB\n861Si7rYtX8nhWKBfC7PulXrOjoCI4n7JFKj8R2eaidyIsULzbJ1a3DNV/2px3IZ1q4ts3FjC6+6\nr1pOBE1cIyPiHi+URKpDwEUdXI7vsOI6HlzXLq51cE11ULxQ7G3YEEywnn02TbEYHPFau7Z87PFW\ni3sUTxhJ3CeRGo3v8FQ7kYAmX7N4Hmzc6LN+vc/kZHCqMaMqiYiISIvogvsmMhnI59s/8ZqYLvL8\n/oNMTGutG5EaxdCISJLpmE5ESmWfz9y5he0/OMLEVIX+3hRXXLyCj71/E5m05sTSnRRDIyLdQN9m\nEfnMnVt4+IlD+KkKvX3gpyo8/MQhPnPnlqi7JhIZxdCISDfQ5CsCE9NFtj95FC994o0QXjrF9h+M\n6hSkdCXF0IhIt9DkKwL7jxaYmG589+TEdIn9R7v7lmDpToqhEZFuoclXBFadlKe/t/HyH/09GVad\nlHfcI5HoKYZGRLqFJl8R6O/JccXFK/DLJy5w65crXHHxEP098Vy4UaSdFEMjIt1Ck6+IfOz9m7jq\ntSvxKmmmpip4lTRXvXYlH3v/pqi7JvHRU1AAABC0SURBVBKZzeZaNpy+gayXYao0SdbLsOH0DYqh\nEZFE0VITEcmkPT553RuZmC6y/2ghOBWpI17S5byUx/suuI53r90c+wgfEZGwNPmKWH9PjrNXnRJ1\nN0RiRTE0IpJkOu0oIiIi4pAmXx2qWC4yMj6itY/EKcX+iIgsn047dpj6+JWSN03G71H8irSdYn9E\nRFpH35odpj5+pS+r+BVxQ7E/IiKto8lXB1H8ikRB405EpLU0+eogil+RKGjciYi0liZfHUTxKxIF\njTsRkdbS5KuDKH5FoqBxJyLSWrrbscPUYlZ27d/J5MwkWa+XdavWKX5F2qp+3BWKBfK5vMadiEhI\nmnx1mPr4lVzep1jwdORB2k6xPyIiraPTjh0ql84xPDCsX4DiVC32R+NORCQ8Tb5EREREHGrraUdj\nzDrgZmvtNbMe/y3gw8BI9aH/ZK217ezLUhXLxcSdXknaPh2PWIrnqVdX9Y57HeIsaZ8JEekMbZt8\nGWM+CnwQGG/w9GXAL1hrd7ar/bCSGKOStH2Ke8SSq3rHvQ5xlrTPhIh0lnZ+y+wB3tPkucuAjxtj\nthpjPt7GPixZEmNUkrZPcY9YclXvuNchzpL2mRCRztK2yZe19qvATJOn7wB+BXgTsNEY8zPt6sdS\nJDFGJWn7FPf9cdW/uNchzlQ7EYma86UmjDEp4A+ttUerf/4H4FLgW/Ntd/LJ/WQyx78sh4fzLe/b\nyPgIJW+avmzfnOcmZybJ5X2GB1rf7nIsVIdO3Kf5NNqfvt4sEI/9cVXvuNchSt32mWimHd+RnUh1\nCKgO8apBFOt8DQFPGmMuJLge7E3ArQttdPjwxLGfh4fzjIwUWt6xYtkj4/cwOTX3gF3W66VY8BiZ\naH27YS2mDp22TwuZvT99vdljP8dhf1zVO+51iEo3fiYaadd3ZKdRHQKqQzQ1mG+y5+zKUmPMdcaY\nj1SPeH0C+C7wIPADa+0/uurHfJIYo5K0fYr7/rjqX9zrEGeqnYhEra1Hvqy1zwPrqz/fXvf4V4Cv\ntLPtsJIYo5K0fYp7xJKrese9DnGWtM+EiHSWVKVSiboPizIyUjjWUReHDzth/Z+l1qET9mkpiuVi\nrCOWXK7zFec6uNTtn4kanWYKqA4B1SGy046pZs8p27GJWoxKkiRtn4KIpXxsr89xVe+41yHOkvaZ\nEJHOoNUERURERBzS5EtERETEIU2+RERERBzS5EtERETEIU2+RERERBzS5EtERETEIU2+RERERBzS\n5EtERETEIU2+RERERBzS5EtERETEIU2+RERERBzS5KtDFctFRsZHKJaLUXel4xTLRQ5MHlDtEkaf\nCRHpFArW7jB+xeduewc79+2g5E2T8Xu4bPXlbDbX4qU0l55Pfe3GZsYYzA6qdgmgz4SIdBp9M3WY\nu+0dbHtlG6VKmb5sH6VKmW2vbONue0fUXYu9+tr1ZlS7pNBnQkQ6jSZfHaRYLrJz3w7SqfQJj6dT\naXbt36nTLfNQ7ZJJ76uIdCJNvjrIaHGUsZmxhs8VigVGi6OOe9Q5VLtk0vsqIp1Ik68OMpQbYjA7\n2PC5fC7PUG7IcY86h2qXTHpfRaQTafLVQXLpHJetvpxypXzC4+VKmdevuoxcOhdRz+JPtUsmva8i\n0ol0t2OH2WyuBWDX/p1MzkyS9XpZt2rdscelufraFYoF8rm8apcA+kyISKdJVSqVqPuwKCMjhWMd\nHR7OMzJSiLI7kSuWi+TyPsWC19X/ug8zForlIqPFUYZyQ4mpnT4T+kzU03gIqA4B1SGaGgwP51PN\nntNpxw6VS+cYHhju+l8yYeTSOU7tO1W1Sxh9JkSkU2jyJSIiIuKQJl/SdRQvJCIiUdIF99I1FC8k\nIiJxoN840jUULyQiInGgyZd0BcXQiIhIXGjyJV1BMTQiIhIXmnxJV1AMjYiIxIUmX9IVFEMjIiJx\nobsdpWsoXkhEROJAky/pGl7K430XXMe7125OXLyQiIh0Dk2+pOvU4oVERESioGu+RERERBzS5EtE\nRETEIU2+RERERBzS5EtERETEIU2+RERERBzS5EtERETEIU2+RERERBzS5EtERETEIU2+RERERBzS\n5EtERETEIU2+RERERBzS5EtERETEIU2+IlYsFzkweYBiuRh1V0RERMSBTNQd6FZ+xeduewc79+1g\nbGaMwewgl62+nM3mWryU5sQiIiJJpd/yEbnb3sG2V7ZRqpTpzfRRqpTZ9so27rZ3RN01ERERaSNN\nviJQLBfZuW8H6VT6hMfTqTS79u/UKUgREZEE0+QrAqPFUcZmxho+VygWGC2OOu6RiIiIuKLJVwSG\nckMMZgcbPpfP5RnKDTnukYiIiLiiyVcEcukcl62+nHKlfMLj5UqZ16+6jFw6F1HPREREpN10t2NE\nNptrAdi1fyeFYoF8Ls+6VeuOPS4iIiLJpMlXRLyUx/suuI53r93MaHGUodyQjniJiIh0AU2+IpZL\n5zi179SouyEiIiKO6JovEREREYc0+RIRERFxqK2TL2PMOmPM/Q0ef6cxZrsx5mFjzC+3sw8iIiIi\ncdK2yZcx5qPAl4DeWY9ngc8DbwM2AR8xxqxuVz9ERERE4qSdR772AO9p8PiFwLPW2sPW2iKwFXhD\nG/shIiIiEhttu9vRWvtVY8zZDZ4aAo7W/bkAnLTQ6518cj+ZzPEsxOHh/HK7mAiqg2pQozoEVIeA\n6hBQHQKqQ7xqEMVSE6NAfQXywJGFNjp8eOLYz8PDeUZGCq3vWYdRHVSDGtUhoDoEVIeA6hBQHaKp\nwXyTvSgmX08Da40xK4ExglOOn42gHyIiIiLOOZt8GWOuAwattX9hjLkBuJfgmrNbrbUvueqHiIiI\nSJTaOvmy1j4PrK/+fHvd498EvtnOtkVERETiSIusioiIiDikyZeIiIiIQ5p8iYiIiDikyZeIiIiI\nQ5p8iYiIiDikyZeIiIiIQ5p8iYiIiDikyZeIiIiIQ5p8iYiIiDikyZeIiIiIQ6lKpRJ1H0RERES6\nho58iYiIiDikyZeIiIiIQ5p8iYiIiDikyZeIiIiIQ5p8iYiIiDikyZeIiIiIQ5moO7AYxph1wM3W\n2muMMecBXwYqwJPAr1pr/Sj758qsOlwKfAvYXX36T621d0bXu/YzxmSBW4GzgR7g94Cn6LLx0KQO\nP6b7xkMa+CJgCN7/XwGm6L7x0KgOWbpsPAAYY1YBO4G3AiW6bCzUzKpDH905FnYBo9U//hD4fWI0\nHmI/+TLGfBT4IDBefegW4JPW2vuNMX8G/Hvg61H1z5UGdbgMuMVa+7noeuXc9cBBa+0HjTErgcer\n/3XbeGhUh9+l+8bDOwGstVcbY64h+HJN0X3joVEdvkmXjYfqP0r+HJisPtStvytm16HrflcYY3qB\nlLX2mrrH7iFG46ETTjvuAd5T9+fLgC3Vn78NvMV5j6LRqA4/bYx5wBjzl8aYfET9cuku4FPVn1ME\n/7LtxvHQrA5dNR6std8APlL946uBI3TheJinDl01HoDPAn8GvFz9c9eNhapGdei2sfCTQL8x5j5j\nzL8YY9YTs/EQ+8mXtfarwEzdQylrbW1Z/gJwkvteudegDo8C/91a+wbgOeB3IumYQ9baMWttofrl\ncTfwSbpwPDSpQ9eNBwBrbckY89fAF4Db6MLxAA3r0FXjwRjzH4ARa+29dQ933VhoUoeuGgtVEwST\n0LcTnIaP3XdD7CdfDdSfo80T/CuvG33dWruz9jNwaZSdccUYcxbwXeAr1trb6dLx0KAOXTkeAKy1\nvwicT3DdU1/dU10zHmBOHe7rsvHwIeCtxpj7gdcB/w9YVfd8t4yFRnX4dpeNBYBngL+x1lastc8A\nB4HVdc9HPh46cfL1WPW6BoCfAh6MsC9RutcYc2X15zcTXFyZaMaY1cB9wI3W2lurD3fdeGhSh24c\nDx80xny8+scJgon4ji4cD43q8LVuGg/W2jdYazdVr/F5HPgF4NvdNhaa1OHvu2ksVH0I+ByAMWYN\nMATcF6fxEPsL7hv4beCLxpgc8DTBaZdu9J+BLxhjZoC9HL/mI8k+AZwMfMoYU7vm6TeAP+qy8dCo\nDjcAn++y8fA14K+MMQ8Q3N33mwRjoNu+HxrV4cd03/fDbPpdEejG3xV/CXzZGLOV4O7GDwEHiNF4\nSFUqlYX/loiIiIi0RCeedhQRERHpWJp8iYiIiDikyZeIiIiIQ5p8iYiIiDikyZeIiIiIQ5241ISI\nxJgxZgj438Amguijw8BvW2t3tbHNNcCXrLXvCLHtOQSZb//RGHM58CvW2g+3vJMiIlVaakJEWsYY\n4wEPEKy+/+lq7M0bgTuAi6y1ByPtYAPVhRdvqg/hFRFpJ02+RKRljDFvJoi3Oc9a69c9/g5gB/Bh\n4HqgTLBK/0eBswhiT54kiD7ZB7yXIH/tVuCS6sv8ibX2i8aYVwN/RRAfM1F9zVHgfmvt2dUEgD+v\nvq4PfNxa+0/GmJuAM4C1BAHUX7LW/r4x5vvAa4C/Jggtv8lae40x5nzgL4CVwDjw69ba7caYL1fb\n+nJ13yrW2lR13/+AYFHHw8AHgMFG+2atPWSM+XfA7xIsjPpD4JettQeNMZ8F3lqt0d9baz/d6LWt\ntQdCvUkiEjld8yUirXQpsL1+4gVgrf1H4HLgXcBl1b93HkHoLcBPArdYay8hyFz7eWADsNJaeynw\nFuDq6t/9E+Cr1b97E0GweL3/C9xqrb2s2t6fV0PIAX4CeBuwDviYMWYF8OvADmvtr856nb8B/sha\n+xPAbwF3G2N65tn3TxKcsrwc+Cbw+mb7ZowZBj4DvL26f/cCN1cnlj9lrf3J6v6vNcb0zvPaItKB\nNPkSkVbygVST594E/K21dtJaWyI4qvXm6nP7rbWPVX9+kuBo05OAMcbcS3C07Mbq85uAr0AwqbPW\nvm9WO28BftcY8zjwbYIjS+dWn/uutbZord0PHAJOatRRY8wgwdG7r1XbeaT69808+34P8HVjzB8D\nT1tr75tn39YBrwK+W+3nrxEckXsJmDTGPEQw4fuktXZqntcWkQ6kyZeItNIO4PXGmBMmYMaY/8Xx\niVZNiuM3/UzVPV4BUtXrwy4GvkAw6dlVPVI1U/e6KWPMRbNeNw28yVr7Omvt64D1wBPN2mmyH16D\n52r9PbadMSZbe9Ja+3ngGuBZ4A+MMf9jnjbTwNa6Pl4BbK5OStcBnwJOAR42xpw/z2uLSAfS5EtE\nWulBYD/wO8aYNIAx5u3ALwF/CHzAGNNnjMlUH/tusxcyxryL4NTfPxCcGhwjuI7rAeDa6l97C8F1\nWfX+Bfgv1de4CPg+0D9Pn0vMuvPbWjsK7DHGvKf6OuuB0wiOXB0gmBQCvLuuv98D8tbaPwQ+z/yn\nBr8HXFW9rgyCydb/McZcCmwBHrDW/jfgqeCll/TaIhJzmnyJSMtYaysE11mdCzxZvZj9RuAd1tq/\nBr5FcHTsB8CPCI5qNfNtYLL6dx8FvmatfYLgFN3PVU/XfRr4yKzt/iuwvtr2ncAHrbWFedp5Glhh\njPnKrMevB37dGPME8MfAe6y1ReBPgU3V178aeKX69z8BfNkYs7Pap99p1qC1di/wIeDvqq//eoLl\nOB4DHiao3S7g+WodFv3aIhJ/uttRRERExCEd+RIRERFxSJMvEREREYc0+RIRERFxSJMvEREREYc0\n+RIRERFxSJMvEREREYc0+RIRERFxSJMvEREREYf+P7lNUzRj8ATcAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x12e4d6a10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot outputs\n",
    "dims = (10, 10)\n",
    "fig, ax = pyplot.subplots(figsize=dims)\n",
    "plt.scatter(df_test_X['conscientiousness'],df_test_Y,color='green',alpha=.6)\n",
    "plt.scatter(df_test_X['conscientiousness'],dfPred,color='blue',alpha=.4)\n",
    "\n",
    "plt.title(\"Survey Takers' Grit by Conscientiousness (Predicted and Actual)\")\n",
    "plt.legend([\"acutal\",\"predicted\"])\n",
    "\n",
    "ax.set_xlabel('Conscientiousness')\n",
    "ax.set_ylabel('Grit')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 341,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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A72/AWre+nOYVxK8dlmNx08YbeezwFvqsfur0WlbNOpcvX/h1dLU0j+FY+yMq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14TM6EkVbJtbTP8C4fGn9VHHXbtz7Htx0M2qRYYbNPrTcuD0L//i34FN/gvXKccKOIofEOXos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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x12f0e1910>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot outputs\n",
    "dims = (10, 10)\n",
    "fig, ax = pyplot.subplots(figsize=dims)\n",
    "plt.scatter(df_test_X['neuroticism'],df_test_Y,color='green',alpha=.6)\n",
    "plt.scatter(df_test_X['neuroticism'],dfPred,color='red',alpha=.4)\n",
    "\n",
    "plt.title(\"Survey Takers' Grit by Neuroticism (Predicted and Actual)\")\n",
    "plt.legend([\"acutal\",\"predicted\"])\n",
    "\n",
    "ax.set_xlabel('Neuroticism')\n",
    "ax.set_ylabel('Grit')\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see that grit is highly correlated with conscientiousness.  Our predictions vary only a little from the mean at each level of conscientiousness, while our predictions according to neuroticism have a much wider range.\n",
    "\n",
    "## Time to train and visualize a decision tree classifier\n",
    "\n",
    "Something cool to keep in mind here is that the most important factors are personality traits.  We could consider these as being an intrinsic cause for the other features as well"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 164,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 0.70431894  0.77408638  0.71428571  0.66777409  0.73666667  0.76\n",
      "  0.77257525  0.75585284  0.73913043  0.73578595]\n"
     ]
    }
   ],
   "source": [
    "from sklearn.tree import DecisionTreeClassifier\n",
    "from sklearn.model_selection import cross_val_score\n",
    "\n",
    "dfY = df['isgritty']\n",
    "dt = DecisionTreeClassifier(max_depth=5,max_leaf_nodes=10)\n",
    "print cross_val_score(dt, dfX, dfY, cv=10)\n",
    "mod = dt.fit(dfX,dfY,)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 165,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
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      "text/plain": [
       "<graphviz.files.Source at 0x126dacdd0>"
      ]
     },
     "execution_count": 165,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn import tree\n",
    "import graphviz\n",
    "\n",
    "dot_data = tree.export_graphviz(mod, out_file=None, \n",
    "                         feature_names=indFeats,  \n",
    "                         class_names='isgritty',  \n",
    "                         filled=True, rounded=True,  \n",
    "                         special_characters=True)  \n",
    "graph = graphviz.Source(dot_data)  \n",
    "graph "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## If we train a random forest classifier, we see similar results in terms of which features are most important"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 554,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['education', 'gender', 'age', 'voted', 'familysize', 'extroversion', 'neuroticism', 'agreeableness', 'conscientiousness', 'openness', 'married_never', 'married_currently']\n",
      "[ 0.03738548  0.01415889  0.10278188  0.01332512  0.04623355  0.09959442\n",
      "  0.13224122  0.10645969  0.35269368  0.08147232  0.00842247  0.00523129]\n"
     ]
    },
    {
     "data": {
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Wq9OBvSPifGAOsDgiDgC2zszjI+JU4HsR8VvgEuDTlJmDdzjn7ilfkiRptMyZnJxsuwYA\nVqxYNRqFSJKqOmLJaI65esei+7Rdgjps4cL5czZ2zEVEJUmSKjJcSZIkVWS4kiRJqshwJUmSVJHh\nSpIkqSLDlSRJUkWGK0mSpIoMV5IkSRUZriRJkioyXEmSJFVkuJIkSarIcCVJklSR4UqSJKkiw5Uk\nSVJFhitJkqSKDFeSJEkVGa4kSZIqMlxJkiRVZLiSJEmqyHAlSZJUkeFKkiSpIsOVJElSRYYrSZKk\nigxXkiRJFRmuJEmSKjJcSZIkVWS4kiRJqshwJUmSVJHhSpIkqSLDlSRJUkWGK0mSpIoMV5IkSRUZ\nriRJkioyXEmSJFVkuJIkSarIcCVJklSR4UqSJKkiw5UkSVJFhitJkqSKDFeSJEkVGa4kSZIqMlxJ\nkiRVZLiSJEmqyHAlSZJUkeFKkiSpIsOVJElSRYYrSZKkigxXkiRJFRmuJEmSKjJcSZIkVWS4kiRJ\nqshwJUmSVJHhSpIkqSLDlSRJUkWGK0mSpIoMV5IkSRUZriRJkioyXEmSJFVkuJIkSarIcCVJklSR\n4UqSJKkiw5UkSVJFhitJkqSKDFeSJEkVGa4kSZIqmpjpBhExFzgG2BVYAxyUmcv7jr8MeCOwFlgG\nHJKZ6yLiYuCm5mZXZubi2sVLkiSNmhnDFbAvsEVm7hERuwNHAS8EiIh7A0cCj83M1RHxWeB5EfEt\nYE5mPuNuqluSJGkkDdItuAg4CyAzLwR26zu2BnhqZq5uLk8At1JaubaMiG9FxLlNKJMkSRp7g7Rc\nbQPc2Hf59oiYyMy1mbkO+BVARLwe2Bo4G3gM8EHgRGAn4MyIiMxcu7E7WbBgSyYm5m3ijyFJGl03\ntF3AlBYunN92CRpTg4Srm4D+Z+Dc/pDUjMn6APAoYL/MnIyIy4HlmTkJXB4R1wE7AL/Y2J2sXLl6\nY4ckSapuxYpVbZegDpsunA/SLbgU2Aeg6d5btsHx44AtgH37ugcPpIzNIiJ2pLR+XTNU1ZIkSR00\nZ3Jyctob9M0W/ANgDrAYeAKlC/Ci5uM8oPeNjga+DpwCPKS5/i2Zef5097NixarpC5EkddIRS0az\nW/Adi+7TdgnqsIUL58/Z2LEZuwWbcVUHb3D1ZX1fb6z164CZS5MkSRovLiIqSZJUkeFKkiSpIsOV\nJElSRYYrSZKkigxXkiRJFRmuJEmSKjJcSZIkVWS4kiRJqshwJUmSVJHhSpIkqSLDlSRJUkWGK0mS\npIoMV5IkSRUZriRJkioyXEmSJFVkuJIkSarIcCVJklSR4UqSJKkiw5UkSVJFhitJkqSKDFeSJEkV\nGa4kSZIqMlxJkiRVZLiSJEmqyHAlSZJUkeFKkiSpIsOVJElSRYYrSZKkigxXkiRJFRmuJEmSKjJc\nSZIkVWS4kiRJqshwJUmSVJHhSpIkqSLDlSRJUkWGK0mSpIoMV5IkSRUZriRJkioyXEmSJFVkuJIk\nSarIcCVJklSR4UqSJKkiw5UkSVJFhitJkqSKDFeSJEkVGa4kSZIqMlxJkiRVZLiSJEmqyHAlSZJU\nkeFKkiSpIsOVJElSRYYrSZKkigxXkiRJFRmuJEmSKjJcSZIkVWS4kiRJqshwJUmSVJHhSpIkqSLD\nlSRJUkWGK0mSpIoMV5IkSRUZriRJkioyXEmSJFVkuJIkSarIcCVJklSR4UqSJKmiiZluEBFzgWOA\nXYE1wEGZubzv+MuANwJrgWXAIc2hjZ4jSZI0rgZpudoX2CIz9wAOB47qHYiIewNHAs/MzKcB2wLP\nm+4cSZKkcTZIuFoEnAWQmRcCu/UdWwM8NTNXN5cngFtnOEeSJGlszdgtCGwD3Nh3+faImMjMtZm5\nDvgVQES8HtgaOBv4s42ds7E7WbBgSyYm5g39A0iSRt0NbRcwpYUL57ddgsbUIOHqJqD/GTi3PyQ1\nY7I+ADwK2C8zJyNi2nOmsnLl6ukOS5JU1YoVq9ouQR02XTgfpFtwKbAPQETsThm03u84YAtg377u\nwZnOkSRJGkuDtFydDuwdEecDc4DFEXEApQvwIuDVwHnAuREBcPRU59wNtUuSJI2cGcNVM67q4A2u\nvqzv6421fm14jiRJ0thzEVFJkqSKDFeSJEkVGa4kSZIqMlxJkiRVZLiSJEmqyHAlSZJUkeFKkiSp\nIsOVJElSRYYrSZKkigxXkiRJFRmuJEmSKjJcSZIkVWS4kiRJqshwJUmSVJHhSpIkqSLDlSRJUkWG\nK0mSpIoMV5IkSRUZriRJkioyXEmSJFVkuJIkSarIcCVJklSR4UqSJKkiw5UkSVJFhitJkqSKDFeS\nJEkVGa4kSZIqMlxJkiRVZLiSJEmqyHAlSZJUkeFKkiSpIsOVJElSRYYrSZKkigxXkiRJFRmuJEmS\nKjJcSZIkVWS4kiRJqshwJUmSVJHhSpIkqSLDlSRJUkWGK0mSpIoMV5IkSRUZriRJkioyXEmSJFVk\nuJIkSarIcCVJklSR4UqSJKkiw5UkSVJFhitJkqSKDFeSJEkVGa4kSZIqMlxJkiRVZLiSJEmqyHAl\nSZJUkeFKkiSpIsOVJElSRYYrSZKkigxXkiRJFRmuJEmSKjJcSZIkVWS4kiRJqshwJUmSVJHhSpIk\nqSLDlSRJUkWGK0mSpIomZrpBRMwFjgF2BdYAB2Xm8g1usyVwNvDqzLysue5i4KbmJldm5uKahUuS\nJI2iGcMVsC+wRWbuERG7A0cBL+wdjIjdgGOBB/VdtwUwJzOfUbdcSZKk0TZIt+Ai4CyAzLwQ2G2D\n45sDLwIu67tuV2DLiPhWRJzbhDJJkqSxN0jL1TbAjX2Xb4+IicxcC5CZSwEiov+c1cAHgROBnYAz\nIyJ650xlwYItmZiYN2T5kqTRd0PbBUxp4cL5bZegMTVIuLoJ6H8Gzp0uJDUuB5Zn5iRweURcB+wA\n/GJjJ6xcuXqAUiRJqmPFilVtl6AOmy6cD9ItuBTYB6Dp3ls2wDkHUsZmERE7Ulq/rhngPEmSpE4b\npOXqdGDviDgfmAMsjogDgK0z8/iNnHMScEpELAEmgQMHaO2SJEnqvDmTk5Nt1wDAihWrRqMQSVJV\nRywZzTFX71h0n7ZLUIctXDh/zsaOuYioJElSRYYrSZKkigxXkiRJFRmuJEmSKjJcSZIkVWS4kiRJ\nqshwJUmSVJHhSpIkqSLDlSRJUkWGK0mSpIoMV5IkSRUZriRJkioyXEmSJFVkuJIkSarIcCVJklSR\n4UqSJKkiw5UkSVJFhitJkqSKDFeSJEkVGa4kSZIqMlxJkiRVNNF2AZI0mxZ/94y2S5jSv+71grZL\nkFSJLVeSJEkVGa4kSZIqMlxJkiRVZLiSJEmqyHAlSZJUkeFKkiSpIsOVJElSRYYrSZKkigxXkiRJ\nFRmuJEmSKjJcSZIkVWS4kiRJqshwJUmSVJHhSpIkqSLDlSRJUkWGK0mSpIoMV5IkSRUZriRJkioy\nXEmSJFVkuJIkSarIcCVJklSR4UqSJKkiw5UkSVJFhitJkqSKDFeSJEkVGa4kSZIqMlxJkiRVZLiS\nJEmqyHAlSZJUkeFKkiSpIsOVJElSRYYrSZKkigxXkiRJFRmuJEmSKjJcSZIkVWS4kiRJqshwJUmS\nVNFE2wVIkgbzl9/9ftsl3MkJez257RKkkWPLlSRJUkWGK0mSpIoMV5IkSRUZriRJkipyQLt+5+Iz\n9m+7hCk94QWntV2CJEkDs+VKkiSpohlbriJiLnAMsCuwBjgoM5dvcJstgbOBV2fmZYOcI0mSNI4G\nabnaF9giM/cADgeO6j8YEbsB3wMeMeg5kiRJ42qQMVeLgLMAMvPCJkz12xx4EfCpIc65kwULtmRi\nYt5AReueZeHC+W2XIN3tuvo8H6zuG+72OjZFVx9zjb5BwtU2wI19l2+PiInMXAuQmUsBImLgc6ay\ncuXqgYvWPcuKFavaLkFTeNWSY9su4U5OWXRw2yVssq4+z7taN3S7drVvunA+SLfgTUD/d5g7XUi6\nC+dIkiR13iDhaimwD0BE7A4su5vOkSRJ6rxBugVPB/aOiPOBOcDiiDgA2Dozjx/0nCrVSpIkjbgZ\nw1VmrgM2HMhw2RS3e8YM50iSJI09FxGVJEmqyHAlSZJUkeFKkiSpIsOVJElSRYYrSZKkigxXkiRJ\nFRmuJEmSKjJcSZIkVWS4kiRJqshwJUmSVJHhSpIkqSLDlSRJUkWGK0mSpIoMV5IkSRUZriRJkioy\nXEmSJFVkuJIkSarIcCVJklSR4UqSJKkiw5UkSVJFhitJkqSKDFeSJEkVTbRdgCRJo+qic9e0XcKd\n7PaHm7ddgmZgy5UkSVJFhitJkqSKDFeSJEkVGa4kSZIqMlxJkiRVZLiSJEmqyHAlSZJUkeFKkiSp\nIsOVJElSRYYrSZKkigxXkiRJFRmuJEmSKjJcSZIkVWS4kiRJqshwJUmSVJHhSpIkqSLDlSRJUkWG\nK0mSpIoMV5IkSRUZriRJkioyXEmSJFVkuJIkSarIcCVJklSR4UqSJKkiw5UkSVJFhitJkqSKDFeS\nJEkVGa4kSZIqMlxJkiRVZLiSJEmqyHAlSZJUkeFKkiSpIsOVJElSRYYrSZKkigxXkiRJFRmuJEmS\nKjJcSZIkVWS4kiRJqshwJUmSVJHhSpIkqSLDlSRJUkWGK0mSpIomZrpBRMwFjgF2BdYAB2Xm8r7j\nzwfeCawFTs7ME5rrLwZuam52ZWYurly7JEnSyJkxXAH7Altk5h4RsTtwFPBCgIi4F/Ah4EnAzcDS\niDgDuBGYk5nPuFuqliRJGlGDdAsuAs4CyMwLgd36ju0MLM/MlZl5G7AE2JPSyrVlRHwrIs5tQpkk\nSdLYG6TlahtKS1TP7RExkZlrpzi2CtgWWA18EDgR2Ak4MyKiOWdKCxZsycTEvGHr1z3AwoXz2y5B\nHdHl50pXax+s7hvu9jo2xWC1r7nb6xhWV58r9ySDhKubgP7f5Ny+kLThsfmUv6LLKS1ak8DlEXEd\nsAPwi43dycqVq4epW/cgK1asarsEdUSXnytdrb2rdUN3a+9q3eNmupA7SLfgUmAfgKZ7b1nfsZ8C\nO0XEfSNiM0qX4AXAgZSxWUTEjpQWrms2pXhJkqQuGaTl6nRg74g4H5gDLI6IA4CtM/P4iDgM+CYl\nqJ2cmb+MiJOAUyJiCTAJHDhdl6AkSdK4mDFcZeY64OANrr6s7/hXga9ucM5twAE1CpQkSeqSQVqu\nJN1N/nbJn7ZdwpQ+sOgLbZcgSZ3lCu2SJEkVGa4kSZIqMlxJkiRVZLiSJEmqyHAlSZJUkeFKkiSp\nIsOVJElSRYYrSZKkigxXkiRJFRmuJEmSKjJcSZIkVWS4kiRJqmh0N27+4r+1XcHUXvLCtiuQJEkj\nzJYrSZKkigxXkiRJFRmuJEmSKjJcSZIkVWS4kiRJqshwJUmSVJHhSpIkqSLDlSRJUkWGK0mSpIoM\nV5IkSRUZriRJkioyXEmSJFVkuJIkSarIcCVJklSR4UqSJKkiw5UkSVJFhitJkqSKDFeSJEkVGa4k\nSZIqMlxJkiRVZLiSJEmqyHAlSZJUkeFKkiSpIsOVJElSRYYrSZKkigxXkiRJFRmuJEmSKjJcSZIk\nVWS4kiRJqshwJUmSVJHhSpIkqSLDlSRJUkWGK0mSpIom2i5gHN3y2cVtl3An937Zv7ZdgiRJ9wi2\nXEmSJFVky5XGwpfPeknbJdzJi5/7xbZLkCS1wJYrSZKkigxXkiRJFRmuJEmSKjJcSZIkVWS4kiRJ\nqshwJUmSVJFLMUiSNGZuPvXmtkuY0lYv36rtEmaFLVeSJEkVGa4kSZIqMlxJkiRV5JgrSZI0MtZ9\n5tK2S7iTuQc8Zrjb3011SJIk3SMZriRJkioyXEmSJFVkuJIkSapoxgHtETEXOAbYFVgDHJSZy/uO\nPx94J7AWODkzT5jpHEmSpHE1SMvVvsAWmbkHcDhwVO9ARNwL+BDwHGAv4K8iYvvpzpEkSRpng4Sr\nRcBZAJl5IbBb37GdgeWZuTIzbwOWAHvOcI4kSdLYmjM5OTntDSLiROBLmXlmc/nnwMMzc21ELAJe\nn5n7N8f+Afg5sPvGzrn7fhRJkqT2DdJydRMwv/+cvpC04bH5wA0znCNJkjS2BglXS4F9ACJid2BZ\n37GfAjvDen2iAAAdJklEQVRFxH0jYjNKl+AFM5wjSZI0tgbpFuzN/PsDYA6wGHgCsHVmHt83W3Au\nZbbgx6Y6JzMvu/t+DEmSpNEwY7iSJEnS4FxEVJIkqSLDlSRJUkWGK0mSpIoMV5IkSRUZrkZMRETb\nNUjSqIqIB7ddw6boat1dFBEPaLsGZwuOmIhYkpmL2q5jU0XETsBOwCXALzNzZJ9gEXEl0F/fb4F7\nAWsyc+d2qhpORDwQeD9wf+ALwCWZ+R/tVjWYiLg/sEXvcmb+vMVyBhYR7wFeDayjLDUzmZk7tlvV\nYCJiG0rdLwK+lpkrWy5pIBHxZsoC1fehLAd0VmYe1m5VM+tq3QARcVRm/nXbdWyKiFgCrABOAr6R\nmetmu4aJ2b7D2RIRbwP+FlhNt/4B3hwRHwKS8k+QzDy+3ZIGExGvo/zTvi/wCeCRwOtaLWp6j6Y8\nNz4GHJeZ34+IxwOHtFvWUI6nbIz+DuB7lMd991YrGkBEHENZaPhqmr9P4KmtFjW4fYCHZuaatgsZ\nRkR8Dvga5XGeC7yY8vfaBftRFqk+KzN3iYhz2y5oQF2tG2CXiLhPZt7QdiHDysxFEbELJdD+XUSc\nA5yUmVfMVg3j3C24P7BjZu6YmTt0JFgBnE95p7M9sEPz0RUvBfYGbsjMDwNPabmeaWXmmsy8FXhE\nZn6/ue4/gS51zd47M8+lvHlI4Na2CxrQkyn7jT41M/fIzK4EK4Af0dfi1iE7ZuangZ0z82DuuEXZ\nqLsdeADwq+byli3WMoyu1g2wC3BdRFwbEddExNVtFzSkXwJXUBpYHgMcHRHvm607H9uWK+BK4Ja2\nixhWZr47Ip4NPBy4ELi85ZKGMZfSAtHrauvKO/sbIuII4PuUd/XXtFzPMG6NiD8C5jVbTXUlXC2n\nBJTVbReyCS4FromIa1nfKv7wlmsaxGYR8WLgJxFxP7oVrr7TfLyiadn/eqvVDO47dLNuMvOhbdew\nqSLi85RA9WngFZl5dXP9RbNVwziHq82AZRHR29dwMjMPaLOgQUTEPwIPAnamhJO3Ai9rtajBfZbS\nNfXQiPgG8JWW6xnUy4GDgT8BfgK8q9VqhvNXwAeB+wF/Q/k5uuAhwFURsby5PNmh1qv9gYdRWpi7\n5AOU1uXDgEOBI9otZ3CZ+Xbg7QAR8YPM/G3LJQ2kq3UDRMTvA8cCCygh5dLM/Fq7VQ3shMw8e4rr\nZ2088ziHq/e3XcAmWpSZe0bEtzPzExHx/9ouaFCZ+dGI+HfKO4bLMrMrG3bfCtwI/B9lIP58utPq\n9szMfGnvQkS8Efhwi/UMqitvGKZyFXBz18ZcZeaXI+LfmotnA52Y+AAQES+ndLFtDnwgIv4pMz/Y\nclkz6mrdjY9QxiydQBkYfiZlzN7IiojP0vScRMTi/mOZeUAzDGRWjHO4+k/KIN9dKF1rXXmXNhER\nWwCTETGP8ofZCRFxct/FP46I3wK/AD424rOSjqMMrN4b+AHwScqg5S44JiKeBRzYzIh5Ad0IV7cD\nH2L93+eb2i1nKA8GfhYRvcGxnWh1i4gPAz8FHgo8gTIO6C9aLWpwbwD+GPgcpdXzW5QW21HX1boB\nyMzlETGZmSsiYlXb9Qzg2LYL6BnnAe0nAz+nNMn+D3BKm8UM4UPADymtP/8BHNNuOUO5NyWknEZ5\nd/9Ayju2T7RZ1AAekZnvBG7NzK8C27Zd0BAuokyCOCMi7t12MUM4AfgU8DTK8+OkdssZyv6UAfkv\nbT660gr3pMw8DtgjM59LGX7QFb3xs6uaFsOuNAx0tW6A6yPiNcBWEfFSutENvgS4gBJqz2++/j7w\n97NdSJd+0cPaLjM/2nz9o4h4SavVDCgzv9B0rT0SuDIzf912TUNYmJm9F5pvRsS3MvMdEfG9Vqua\n2UQzwHcyIubTLIHREZOZeXxE3Eh5Vzyv7YIGtEVmntF8/ZWI6MTaP41tga0oz5N/bD6uarWiwcyL\niCcC/xMRm9GtAe1XUCb4vCki/p7Sfd8FXa0bylpubwN+DezWXB51B1JqfgBlOaM5lFbyJbNdyDiH\nq3tHxAMy89qI2J4Rf9GJiH/ljgta9q4nMw9soaRNsU1EPDozL4uInYH5EbEdsHXbhc3g7cBSyrIX\nF1Le9XTF5QCZeVoTsL7Ycj2DmoiIx2bmsoh4LFM890fYsZT1295Nee58ADin1YoG80lKS/iBlJqP\na7ecwWXm4ojYOjN/ExEXZea1bdc0iK7W3Xg3ZWD4T9ouZFCZeQJwQkQcmJknz3jC3Wicw9U7gPMj\n4ibKO7S/armemXyu+fz/KM2ZS4EnUbofuuK1wKcjYkfKWKvXUbpQ3tNqVTNbnZkREQsp79L2bLug\nmUTERGauBQ5tWiEAzqUs4NoFhwInN8+VXzL6f5/9bgX+C9gsMy+MiE6Mi8zMYyLiVMqYq7dn5s1t\n1zSo3sy1iFhA+R/TiZlrXa27sYQyCH8+8K/AaZnZleWNzo6Iv+WOO0D8w2wWMLbhqpmG+fCIuF8X\nutYy85sAEfHXmfmB5uqlETHVdNJR9URgG8pMu+2Bz2TmTu2WtHER8XTKgOo3RcQ/N1fPpYTCx7RW\n2GA+CRxAafqepDR/03w98msuNYu1PqntOjbRJOXx/0ZE/Bll26SRFxH7AX9H+b//+Wag8pEtlzWo\nzs1ca3S1bjLzS8CXImIHyljgD1O28emCLwD/TnmT34qxC1cR8S+Z+bqIuID1UzIB6MKMHmDriPhD\nyqy1p9KtlaAPAfai/AP/AvDGdsuZ0UpK3/zmrF8Jfx1l26SR1luzLTMf1rsuIuZl5ki3okTEFzPz\nJRFxDeu7Aru0PRU0A9oz8xsR8UzKoPYuOIyyNdJZwJGUyRBdCVddnLkGdLfuiHgIZTbpfsDFlFmP\nXbEqM/+uzQLGLlyxfsmFVwK39V3fle6SA4F/Ah5F6XroylRpgKsz85qImJ+Z32kGcI6szLwUuDQi\nTqB09TyCjk0i6No6Opn5kuZzl7Z1AiAintd06by4udzrytyJssfjqLs9M9c0L/STEdGZbkG6OXMN\nuls3wJeAE4E9M/OmtosZ0qXN4/2fNG/iMnNWdzsZx3A1JyIeRWm2/3PKu+K5lMGbIz9+KTMvA57f\ndh2b6MaI2Jcy6+41lFXDu2AR5R38T4DHRMS7mj3YuqCT6+g0WzxNUP42Pwq8IzM/025VM9qu+bwD\n67tiuzQQf0mzyOKDIuJYSut4V3Rx5hp0t24y80nN3+lLI+JC4PLZXITzLnpc89EzCfzhbBYwjuFq\nd8oLTrD+3eQ64JutVTSEiHgbpVtqNd3rLjmIsoTEW4G/Bl7fbjkDexPwhGZGz3zKwPCuhKveP7tV\nTatEV/6m30MZM/YxylpXnwdGOlxlZm+9tlMpa0Z9NspGsCOzcOF0MvNtEfFcShfPTzs0sJrMvKkZ\nF9kbJrE1cH2LJQ2kq3VDt7diy8xnRsS2wO8BP8vM38x2DV35RzywzPwKZd2cfTLzG23Xswn2p+xe\n37kNbTNzFaUZFkq46op1vT++zFwVEV15dwbwM7q5js5qygrha5vlUrrUAvQJ1j+/v0EZqPys9soZ\nTPPGYRvK437fiHhlZn6y5bIGEhHHUFpor2F9i+HIj6Htat2Nzm7FNgqTN8YuXPW5PiKOA+5FeVLv\nmJl/1HJNg7iS9av6anZcERFHUTad3pMSWLrircBvOriOzk2UgdXHR8RrKfs6dkZmXth8/l5EdGWn\ni3+j7KDQm0HVpUD7ZMpOCl1a4Be6Wzd0eCs2RmDyxjiHq49TFsp7CbAM2Gz6m4+MzYBlEbGM9QPx\nDmi3pLG3gLJNwnMokwgOb7ecoXwRWBERJ1FaUbriLcDczPxJRDyGMnC2K25oBrNfQHnx7MoMsLmZ\n+Yq2i9hEyylda11r0e9q3bB+K7aFlK3YPtRuOUNpffLGOIerXzdjIp6Tme+KiO+2XdCA3t92AfdA\nf09Zi2YRsIKyPENr66MMIzMXRcQulPr/LiLOAU7KzCtmOLVtJ2bmIvjdrM0u+QtKl8OLKJMgurKD\nwiUR8RTgR6x/43bb9KeMjIcAV0XE8uZyJzbLprt1d30rtiUR8RlanLwxzuFqXbM67pZRFrrqylIM\nF1Pe1e9IWWyuK2NoOiszfwj8sFlF+eOUd5ubt1vVUH5J2cPsiZTFT4+OiP/KzFFugbs5Ij5EWQR1\nHUBmjvRyBhHxoMz8X8r/kv4N1e9LmQ026vbijjORO7HgbKMTA6mn0NW6iYjHUXZO2KK53KWt2N4P\n7EEZA3xZZn51tgsY53B1GGX17Y9QZiGd1G45AzuZsorvXsC1lLr3arWiMdes1P4qyorhXwD+ptWC\nhhARn6cEqk8Dr8jMq5vrL2q1sJmd33zevtUqhnNY83Ecd14Vf1aneW+KzNwVIMp+n9dnZpfGXHV1\ns+x1lIDVvxj0rG7DchecAvwLHWnF38DXm5bxs9oqYJzD1bXADpm5NMqmyF2ZWr9dZp4cEa/IzPM7\nNFi2y95I2Z7ioI694EDZWHWqLZIWzXolQ8jMdzdr6DycMttxVhf42xSZeVjz5T/3vxNutsAZeRGx\nJ6XFbR7whYi4KjO78qazq5tlt74Ny11wbWZ2aSxkv+sj4g3csWX8W7NZwDiHq88BRzdfX08JV89r\nr5zBRcSjm88PAta2XM7Yy8z92q5hWM1ikL3tnRb3H8vMA0Z9sb8urqETEc+jrMn1sojYo7l6LvBC\nyjpdo+5IymzYL1FafpbSnRb9Tm6WzQhsw3IX/E9EHM4dVzmf1YByF1zHHRcSnaQssDxrxjlcbdVb\nJC8zPxMRf9l2QQM6lNI1uDPlXc8h7ZajEdWJhSun0cU1dH5MWaX9Fso7Yijvij/XWkXDWZeZ1zcz\nqG7t0j53dHSzbEZgG5a7YHPKYtzRXJ71gHIXXJ+Zra61OM7h6raI2JvS5fBkurNGxzcp41BWULZL\n+G5E/Ao4ZCPdP7pnmp+ZX+vb365fF2bGdm4Nncz8BfCJiPgU5c3PLsB/Z+aP2q1sYMsj4r3Adk2L\nRBfGLPXsT/k/fibwDLqzWXbr27BsqsxcPNX1EfHxzBz1N0O7RMR9MrO1vRzHeTzPQcBrge9TWn9e\n0245A/se8PvNxraPBr5CWeH3iGnP0j1N/z53/R8PaK2i4fTW0HkMZQ2dj7VbzlBeS+lOexplEdSu\nTIA4mBKolgC/AbrSmg+wD2Wv0j8HHkxHhnhk5jOBfSnjOp+fmZ0IVjOImW/Sul2A6yLi2oi4JiKu\nnu0CxrblKjOXU57UXfOgzEyAzPxZRDwkM5dHhGOv9Dt9+9y9h/KPZItpbj6Kvk0Z6NvFNXQOoHRr\nro2Ie1FmPo7sZtkR8Zy+i1c0H1BagLrSzbNz83kOpSXoeko34UgbhW1Y7oky86Ft1zC24SoirmH9\ndOn7Aldk5s7TnzUSrmk2gz2fsgfVtU33ZlcW+9Ps+jplVf9e8/ck8OL2yhnYNynbDJ3QsWAFMCcz\n1wJk5m8jYtTH/2w4UaD3f7EzY2gy8629ryNiDmUNwC5ofRuWe6KIOHnD62Z7ja6xDVdNtxoAEfFQ\n4F3tVTOUV1IWbvtj4FJK3Y9nxGdSqTVbZGbn1kHLzCdGxG7A4mbm4Fcy8z1t1zWgJRHxReA8ypIX\nS1uuZ1r9Y2ci4g+ARwGXZuZl7VU1nIjo375sB+BhbdUypNa3YbmHOq35PAd4AmVR7lk1tuGqX2Ze\n1VveYNQ1U+g/ssHVF7RRizrhexHxR8BPe1dk5s9brGcY/0V5bj8SeHrLtQzjCEqo2hk4JTO/3nI9\nA4mIt1PetP0AOCwiPp+ZH265rEFl39e3AP/UViFDWtIsm9LaNix3gzkz36RdmfnNvotnRcSst9CO\nbbjqXweIklp/1WI50t1le+DD3LFbcOT3Lmua7XenbDz9msz8n3YrGkpv9edOhKo+zwOelpnrImKC\nMrC9E+EqMx8GEBH3p+wbu67lkgaSmW+LiOdStjX7aW95oFEWEa/c2LHM/CRlg/uRtsE4wx1pYSeI\nsQ1X3HEdoFspfd3SuHl0R8YSbuh04NUdXBEfRmD15030K2BLykzBzSjLvXRCRDyDMkPzJmBBRPxl\nF5amacLgH1Nm2G0fEUszc2XLZc2k9/9kd2A1Zfzvk4B7AZ/MzFEfYwhlGE1vbOEttLC5+tiFq2lS\nd9CB2SXSkC6JiN254yKFXZj8cBXw/WYXgmspQevilmsaVOurPw8jIi6g1Hh/4L8j4sc0U9VbLWw4\nRwJPz8yrI+KBwJeBkQ9XlLE/p1EWhn4a8ClGfBmJ3uSBiDgrM/+kd30bXWt3wZuBx2fm2RHxOsrk\nmVk1duGK9an7KZTEeofU3VZR0t1kT+BP+i5PUvbrG3VHU/Zy/HFEPI6yztXTWq5pIBtbXHGEdWXB\nzenc3tuUPDN/GREjvb1Tv8zs9aL8uCv7UDbu31uIs9nse7sZzxgdn6Xl7e/GLlyNSeqWBpKZf9B2\nDZtobmb+GCAzf9Slddy6tsxLZl4FEBGPBP6U8kZzDmUsSlcWV74pIl5PWWR5T8oLZhdcFhGvAM4F\nnkhZ2PJR0IltcN4D/Cgirge2BV7fcj3D2HD7u4Nmu4CxC1d9upy6pYFExAsoK4b3XjC360jgWtts\nhHwe5cVyTcv1DKzDy7x8hjLWbRFwNbB1u+UM5RWUxTjfA/yEFsbQbKJHU1pkjwOupIxzO44ObIOT\nmV+KiH+jLH1xbUfGWvVsuP3drE+AGOftb44E/jMifkbZAqerO5NL0zmS8uL+C+ATwLJWqxncgcBf\nUNaI+nO6tRXL7zStQp1Y5gX4TWa+F/jfzHwVLcygGlYzJg9KrSdQFuU8EVjYWlHD+Thl94SzgXsD\nJ2fmM7uwDU5E7An8iDKe8B0R8eqWSxpG69vfjXPL1XWUmQ4TwOdpYRExaRZck5kXRMTBmXlKRLyq\n7YIGdGhm/mnbRWyKDi/zMhkRDwDmR8RWdKPl6rDmo9fa01tjaeRbfhpvAp6Qmb+JiPmU7sFPtVzT\noI6ktCp/CfhHyhuhk1qtaEAb2/5uNjedHueWqyMoCxP+ktKUfEi75Uj1RMS2zZdrmneY92oWE71f\ni2UNY5eIuE/bRWyiYykv9scBbwH2a7ecgb0beBHlxf0K4Jx2y5lZZh7WfPnPmfmHTavPM7njUjuj\nbF1m/gYgM1dRlgXqinWZeT0w2SxuvartgiqYtU2nx7nlal1mXh8RZOatETEOTwyp5+uUsTP/R/k7\nPhL4B8qbii7YBfh1RPya0goxmZldaV2+mBKqdqTscXcdsLzVigaQmd+LiB8Bvwc8oveiP8qacXlP\nA14WEXs0V88FXkjpkRh1V0TEUawfiD/rSwLcBcsj4r3AdhFxOGX5FA1onMOVTwyNs99GxA+AnShB\nBUqXyRtYv6/WKFuUmb/oXejK9lSNk4Ezgb0oa3Sd1Hw90iJiP8rY0wng881+d6O+ifCPKZORbmH9\nFjjrgM+1VtFwFlPG++xN2aLq8HbLGcrBlLFLSygLz3ZyXGRbxjlc9T8xbsYnhsbLs4EHUgbMdqbL\nOyIeQ6n7/RHxZkognAu8j/WLco667TLz5Ih4RWaeHxFdGV5xGGXV7bMoLZ0XNZ9HVhPAPxERn+rK\nljf9MnMtZQ23zoiI3TLzIsqYtiuaD4BnMMKL5Y6asQ1XzZO6K/3y0lAy83bg59xxAdEuWEBZ1HJ7\n4IDmunXAMa1VtAl6LW3NbLaurNF1e2auaVqsJiPi5rYLGsJbIuItlElKc+hWN3LXPIsSvF+2wfUj\nvRPBgGZt0+mxDVeSRk9mngecFxFPb74GICIe3GJZwzqU0jW4M/AFutNyuKSZ6figiDgW+EHbBQ3h\npcCOmbm67ULGXWa+v/ny+sz861aLGdIobTrdleZsSePlXyLisfC7sUBdekf8BEoL3A3AAyhT1Ude\nZr6NshbaCcDXOvbCeSVl3JVmTxdn9O7cfCwG9gceDLy4+ZrZXAjVlitJbXgZcFJE/IrSrbZny/UM\n4y3A8ykLt3ZGs87SIsosx59FxCOb9YC6YDNgWUQsY/0G5QdMf4ruop3p2IzeUdr+znAlqQ29sQ+b\nA7fRnXFLUPYS7Eoo6dfJWY6N9898E1V2YGae23YRm6j17e8MV5La8HnK9jdXUAbQLgF+v9WKBrc6\nIs6kbA3Sa0V5W7slDaSrsxzhzmuLXdJuOfcI76KsKN9FrW86bbiS1IbDgVOAeZRB4V1ZtwjgG20X\nsKk6OssRut3q1lWTEXE6ZX2xddCZNxEjsem04UpSG97Mnfct68Tq8pn5ibZr2ESHAv9KGUvzRboz\nyxG63erWVSe3XcCmarYEO4bmzVtEXJWZs7ovouFKUht621NNuj3VrHluZu4x881GU4db3brqVOBJ\nwL0oYyRHejD7BlrfdNr0L6kNbk81+/aJiHltF7GJ3kBpdXsCpdWtS8tIdNXpwN9TVpj/OPDqdssZ\nSuubTttyJakNbk81+xYCV0fElayfWv/UlmsaSGYuAzrb6tZR98vMPSLiRMqA8LPbLmgIrb95M1xJ\nmnVuT9WK57VdwLAi4ouZ+ZKIuIZmZmbPqK+5NAZ6q+FvlZm3RESrxQyp9U2n50xOTs58K0lSp0XE\nhgOUf0tZCPVjmbmyhZKGEhFbZebNEbFjZl7ddj3jLiJeC9yX8jx5IXBzZj673aqm19t0OiLutM1N\nZs7qQqKOuZL+f3v3ElpXFYVx/C9iUTAdVQU7a5VVpQMh4kRU8I2ISKGaOBFFqPhCOlJstAN1oDhw\n5gPBQYlUoaJOqqNSkCIORKiPJSYgxdhWHWhrfZI42CdghYSkvbl7p+f/g8NN7uib3cXZ56xP6ofz\ngBlgN+WYZD1liWvzbz9GxDPAU92/L3clzlpZh4ArKSsvTrA6XiK4ofsc/981NuwgHgtKUj9ckJnj\n3d8fRsRHmTkREfurplqaOzJzFCAzt0bEx7i1faW9CGwDmr+rOa+l0mmHK0nqh7URsSkzv46Iy4CR\nrhrk/NrBlmA2ItZk5l8RcQ6eugzDF5m5r3aIU3T5fP1NrQAOV5LUDw8DuyLiYsqRzyPA3ZSqkNa9\nAhzsips34V2rYXgvIg4AX81/kZn3V8yzHNVLpx2uJKkfRoG1wJ/ARcBkZl5aN9LSZOYbEfE+sAH4\nNjN/rp2pBx4DXgCq3f05DdVLpx2uJKkfHqI8nLyD0uf4eN04SxcRN1J+r84GJiNiIjMnK8c60x3O\nzN21Q5yinVQunXa4kqR+mMnMHyJiJDP3dW/grRbPAfdQtoVfDbwNOFytrN8jYi/wGd2OsdVS3EwD\npdMOV5LUD79ExJ2UH55twLragZbhBHAE+CczD0eECxpX3ge1A5yG6qXTDleS1A8PAJcAT1K6+R6t\nG2dZfgX2Aq91yy2PVs5zxsvM5vefLaJ66bTDlST1QGYeoxzxwOorPr4L2JiZX0bEZuD12oHUtHcp\ng9V6ynN6M8BbwwzgrhBJUusuBG6PiKeBLcATlfOobesy81bgE8pbsucOO4DDlSSpde9Q1kgc+c8l\nLeSk0ukaATwWlCS17lhm7qgdQqvGnoiYAD7vFqH+NuwADleSpNYdjIgxTl4L8E3dSGrYIeBmYA2V\nSqcdriRJrbuiu+bNAddXyqL2VS+dPmtuznUhkqS2dSXTG4HpzPypdh61KyL2ZOaWmhkcriRJTYuI\nrcCzlBLhzcDOzNxVN5VaFRH3Ag9SsXTaY0FJUuu2A6OZeTwiRii9cQ5XWkj10mmHK0lS62Yz8ziU\nZagR8UftQGpa9dJphytJUuumI+IlYD9wDTBVOY/aVr102uFKktS6V4HrgJuAceCWunHUuOql0z7Q\nLklqWkR8Coxl5lREbADezMxra+eSFmL9jSSpdX9n5hRAZk4Ds5XzSIvyWFCS1LrvIuJ54ABwFfB9\n5TzSorxzJUlq3X3AUeA24EdgqDuLpOXymStJkqQB8s6VJEnSADlcSZIkDZDDlSRJ0gA5XEmSJA2Q\nw5UkSdIA/QtXMEyOSPsR9wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x134f807d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.ensemble import RandomForestClassifier\n",
    "rf = RandomForestClassifier(max_depth=10,max_features=8,n_estimators=100)\n",
    "rf.fit(dfX, dfY)\n",
    "\n",
    "dims = (10, 10)\n",
    "fig, ax = pyplot.subplots(figsize=dims)\n",
    "sns.plt.title('Coefficients for all Features Predicting Grit')\n",
    "g = sns.barplot(ax=ax, x=indFeats, y=rf.feature_importances_).set_xticklabels(rotation=90,labels=indFeats)\n",
    "\n",
    "print indFeats\n",
    "print rf.feature_importances_"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## We have a good sense of our data and the factors that relate to grit now, so let's train a nueron and a nueral network to predict grit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 564,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "random starting weights:\n",
      "[[ 0.54230874]\n",
      " [ 0.15843374]\n",
      " [ 0.81331905]\n",
      " [ 0.51774819]\n",
      " [ 0.38414109]\n",
      " [ 0.97296606]\n",
      " [ 0.93687881]\n",
      " [-0.2758979 ]\n",
      " [-0.95800895]\n",
      " [-0.27431323]\n",
      " [-0.70229964]\n",
      " [ 0.34965651]]\n",
      "\n",
      "new weights after training: \n",
      "[[  13.58220469]\n",
      " [  -6.54035531]\n",
      " [  -2.76242087]\n",
      " [   0.45478189]\n",
      " [  -2.74036934]\n",
      " [   7.88566158]\n",
      " [-105.28036888]\n",
      " [  25.67214587]\n",
      " [ 193.3658723 ]\n",
      " [ -44.62970236]\n",
      " [ -58.51468447]\n",
      " [ -14.49317004]]\n"
     ]
    }
   ],
   "source": [
    "from numpy import exp, array, random, dot\n",
    "\n",
    "class Neuron():\n",
    "    def __init__(self):\n",
    "        #random.seed(1988)\n",
    "        #start with random weights between -1 and 1\n",
    "        self.weights = 2.0 * random.random((12,1)) - 1.0\n",
    "\n",
    "    #the sigmoid function is like the logistic function we used in logistic regression.  \n",
    "    #similarly, this allows for an output between 0 and 1\n",
    "    #It looks like this is rarely used anymore in favor of the \"RELU\" function\n",
    "    def __sigmoid(self, x):\n",
    "        return 1 / (1 + np.exp(-x))\n",
    "\n",
    "    #gradient of the sigmoid curve, this adjusts the severity of the error according to our activation function\n",
    "    def __sigmoid_derivative(self, x):\n",
    "        return x * (1-x)\n",
    "\n",
    "    def train(self, training_set_inputs, training_set_outputs, number_of_training_iterations):\n",
    "        for iteration in xrange(number_of_training_iterations):\n",
    "            #pass the training set through our neuron\n",
    "            output = self.predict(training_set_inputs)\n",
    "\n",
    "            #calculate the error\n",
    "            error = training_set_outputs - output\n",
    "            \n",
    "            #multiply the error by the gradient of the sigmoid curve, then by the input\n",
    "            adjustment = dot(training_set_inputs.T, error * self.__sigmoid_derivative(output))\n",
    "\n",
    "            #adjust the weights\n",
    "            self.weights += adjustment\n",
    "            \n",
    "            #print\n",
    "            #print training_set_inputs.T\n",
    "\n",
    "    def predict(self, inputs):\n",
    "        #pass inputs through our neuron\n",
    "        return self.__sigmoid(np.array(np.dot(inputs, self.weights),dtype=np.float32))\n",
    "\n",
    "#initialise a single neuron neural network\n",
    "neuron = Neuron()\n",
    "\n",
    "print 'random starting weights:'\n",
    "print neuron.weights\n",
    "print\n",
    "\n",
    "#train the neural network using a training set.  do it 10,000 (or 600) times and make small adjustments each time\n",
    "from sklearn.preprocessing import normalize\n",
    "X = np.array(dfX.as_matrix(), dtype=float)\n",
    "X = normalize(X, axis=0)#, norm='max')\n",
    "\n",
    "dfY = df['isgritty']\n",
    "Y = dfY.as_matrix().reshape(dfY.as_matrix().shape[0],-1)\n",
    "neuron.train(X,Y,2000)\n",
    "\n",
    "print 'new weights after training: '\n",
    "print neuron.weights"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 565,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['education', 'gender', 'age', 'voted', 'familysize', 'extroversion', 'neuroticism', 'agreeableness', 'conscientiousness', 'openness', 'married_never', 'married_currently']\n",
      "('Coefficients: \\n', array([ 0.03245315, -0.01947561,  0.00098068, -0.00539197,  0.00915535,\n",
      "        0.00239531, -0.00787071,  0.00653773,  0.02850376,  0.00017041,\n",
      "       -0.04914387,  0.00048606]))\n"
     ]
    }
   ],
   "source": [
    "print indFeats\n",
    "print('Coefficients: \\n', lm.coef_)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 566,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Accuracy: 0.75\n",
      "Accuracy: 0.73\n"
     ]
    }
   ],
   "source": [
    "from sklearn.metrics import accuracy_score\n",
    "#np.array(df_test_X.as_matrix(), dtype=float)\n",
    "X_test = normalize(np.array(df_test_X.as_matrix(), dtype=float), axis=0)#, norm='max')\n",
    "Y_test = dfTest['isgritty']\n",
    "Y_test = Y_test.as_matrix().reshape(Y_test.as_matrix().shape[0],-1)\n",
    "\n",
    "print(\"Accuracy: %.2f\"\n",
    "      % accuracy_score(Y_test, np.round(neuron.predict(X_test))))\n",
    "print(\"Accuracy: %.2f\"\n",
    "      % accuracy_score(Y,np.round(neuron.predict(X))))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### This single neuron behaves similarly to logistic regression\n",
    "\n",
    "We can train a neural net to take into account feature interaction (This is a bit of overkill)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 567,
   "metadata": {},
   "outputs": [],
   "source": [
    "from keras.models import Sequential\n",
    "from keras.layers import Dense\n",
    "from keras.layers import Dropout"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 571,
   "metadata": {},
   "outputs": [],
   "source": [
    "# create model\n",
    "model = Sequential()\n",
    "model.add(Dense(32,activation='relu',input_shape=(12,)))\n",
    "model.add(Dropout(0.3))\n",
    "model.add(Dense(16,activation='relu'))\n",
    "model.add(Dense(8,activation='relu'))\n",
    "model.add(Dense(4,activation='relu'))\n",
    "model.add(Dense(1,activation='sigmoid'))\n",
    "# Compile model\n",
    "model.compile(loss='binary_crossentropy', optimizer='rmsprop', metrics=['accuracy'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 578,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2017-09-26 12:29:44.838318\n",
      "Epoch 1/300\n",
      "2211/2211 [==============================] - 0s - loss: 0.4954 - acc: 0.7463     \n",
      "Epoch 2/300\n",
      "2211/2211 [==============================] - 0s - loss: 0.5089 - acc: 0.7390     \n",
      "Epoch 3/300\n",
      "2211/2211 [==============================] - 0s - loss: 0.5026 - acc: 0.7368     \n",
      "Epoch 4/300\n",
      "2211/2211 [==============================] - 0s - loss: 0.5047 - acc: 0.7413     \n",
      "Epoch 5/300\n",
      "2211/2211 [==============================] - 0s - loss: 0.5073 - acc: 0.7390     \n",
      "Epoch 6/300\n",
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      "Epoch 254/300\n",
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      "Epoch 256/300\n",
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      "Epoch 257/300\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2211/2211 [==============================] - 0s - loss: 0.5266 - acc: 0.7399     \n",
      "Epoch 258/300\n",
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      "Epoch 259/300\n",
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      "Epoch 260/300\n",
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      "Epoch 261/300\n",
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      "Epoch 262/300\n",
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      "Epoch 265/300\n",
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      "Epoch 266/300\n",
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      "Epoch 267/300\n",
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      "Epoch 268/300\n",
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      "Epoch 270/300\n",
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      "Epoch 271/300\n",
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      "Epoch 272/300\n",
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      "Epoch 273/300\n",
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      "Epoch 274/300\n",
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      "Epoch 275/300\n",
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      "Epoch 276/300\n",
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      "Epoch 277/300\n",
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      "Epoch 278/300\n",
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      "Epoch 279/300\n",
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      "Epoch 280/300\n",
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      "Epoch 281/300\n",
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      "Epoch 282/300\n",
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      "Epoch 283/300\n",
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      "Epoch 284/300\n",
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      "Epoch 285/300\n",
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      "Epoch 286/300\n",
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      "Epoch 287/300\n",
      "2211/2211 [==============================] - 0s - loss: 0.5273 - acc: 0.7408     \n",
      "Epoch 288/300\n",
      "2211/2211 [==============================] - 0s - loss: 0.5283 - acc: 0.7440     \n",
      "Epoch 289/300\n",
      "2211/2211 [==============================] - 0s - loss: 0.5342 - acc: 0.7445     \n",
      "Epoch 290/300\n",
      "2211/2211 [==============================] - 0s - loss: 0.5355 - acc: 0.7499     \n",
      "Epoch 291/300\n",
      "2211/2211 [==============================] - 0s - loss: 0.5173 - acc: 0.7399     \n",
      "Epoch 292/300\n",
      "2211/2211 [==============================] - 0s - loss: 0.5285 - acc: 0.7345     \n",
      "Epoch 293/300\n",
      "2211/2211 [==============================] - 0s - loss: 0.5492 - acc: 0.7427     \n",
      "Epoch 294/300\n",
      "2211/2211 [==============================] - 0s - loss: 0.5328 - acc: 0.7386     \n",
      "Epoch 295/300\n",
      "2211/2211 [==============================] - 0s - loss: 0.5242 - acc: 0.7381     \n",
      "Epoch 296/300\n",
      "2211/2211 [==============================] - 0s - loss: 0.5259 - acc: 0.7413     \n",
      "Epoch 297/300\n",
      "2211/2211 [==============================] - 0s - loss: 0.5220 - acc: 0.7440     \n",
      "Epoch 298/300\n",
      "2211/2211 [==============================] - 0s - loss: 0.5214 - acc: 0.7485     \n",
      "Epoch 299/300\n",
      "2211/2211 [==============================] - 0s - loss: 0.5266 - acc: 0.7467     \n",
      "Epoch 300/300\n",
      "2211/2211 [==============================] - 0s - loss: 0.5277 - acc: 0.7490     \n",
      "2017-09-26 12:32:33.488392\n"
     ]
    }
   ],
   "source": [
    "import datetime\n",
    "\n",
    "print datetime.datetime.now()\n",
    "# Fit the model\n",
    "model.fit(dfX.as_matrix(),dfY.as_matrix(), epochs=300, batch_size=200)\n",
    "print datetime.datetime.now()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 580,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " 32/720 [>.............................] - ETA: 0s\n",
      "acc: 75.56%\n"
     ]
    }
   ],
   "source": [
    "scores = model.evaluate(df_test_X.as_matrix(), dfTest['isgritty'].as_matrix())\n",
    "print(\"\\n%s: %.2f%%\" % (model.metrics_names[1], scores[1]*100))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Conclusions\n",
    "\n",
    " * Grit is highly correlated with conscientiousness (or conscientiousness is a great predictor of grit).  It may be a redefinition of industriousness.\n",
    " * A person's natural self (big 5 personality traits) is a better predictor of grit than other life outcomes.\n",
    " * There are differences between some big 5 traits across demographics.\n",
    " * For simple data sets, a single neuron can predict outcomes just as well as a neural network."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
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