{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "tags": [ "remove_input" ] }, "outputs": [], "source": [ "path_data = '../../../../data/'\n", "\n", "import numpy as np\n", "import pandas as pd\n", "from scipy import stats\n", "\n", "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "plt.style.use('fivethirtyeight')\n", "\n", "import warnings\n", "warnings.filterwarnings('ignore')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The Regression Line ###\n", "The correlation coefficient $r$ doesn't just measure how clustered the points in a scatter plot are about a straight line. It also helps identify the straight line about which the points are clustered. In this section we will retrace the path that Galton and Pearson took to discover that line.\n", "\n", "Galton's data on the heights of parents and their adult children showed a linear association. The linearity was confirmed when our predictions of the children's heights based on the midparent heights roughly followed a straight line." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "galton = pd.read_csv(path_data + 'galton.csv')\n", "\n", "heights = pd.DataFrame(\n", " {'MidParent':galton['midparentHeight'],\n", " 'Child':galton['childHeight']}\n", " )" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "def predict_child(mpht):\n", " \"\"\"Return a prediction of the height of a child \n", " whose parents have a midparent height of mpht.\n", " \n", " The prediction is the average height of the children \n", " whose midparent height is in the range mpht plus or minus 0.5 inches.\n", " \"\"\"\n", " \n", " close_points = heights[(heights['MidParent'] >= mpht-0.5) & (heights['MidParent'] < mpht+0.5)]\n", " return close_points['Child'].mean()\n" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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MidParentChildPrediction
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" ], "text/plain": [ " MidParent Child Prediction\n", "0 75.43 73.2 70.100000\n", "1 75.43 69.2 70.100000\n", "2 75.43 69.0 70.100000\n", "3 75.43 69.0 70.100000\n", "4 73.66 73.5 70.415789\n", ".. ... ... ...\n", "929 66.64 64.0 65.156579\n", "930 66.64 62.0 65.156579\n", "931 66.64 61.0 65.156579\n", "932 65.27 66.5 64.229630\n", "933 65.27 57.0 64.229630\n", "\n", "[934 rows x 3 columns]" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "heights_with_predictions = heights.copy()\n", "\n", "heights_with_predictions['Prediction'] = heights['MidParent'].map(predict_child)\n", "\n", "heights_with_predictions" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(8,5))\n", "\n", "ax.scatter(heights_with_predictions['MidParent'], \n", " heights_with_predictions['Child'], \n", " label='Child', \n", " color='darkblue')\n", "\n", "ax.scatter(heights_with_predictions['MidParent'], \n", " heights_with_predictions['Prediction'], \n", " label='Prediction', \n", " color='gold')\n", "\n", "x_label = 'MidParent'\n", "\n", "y_label = ''\n", "\n", "y_vals = ax.get_yticks()\n", "\n", "plt.ylabel(y_label)\n", "\n", "plt.xlabel(x_label)\n", "\n", "ax.legend(bbox_to_anchor=(1.04,1), loc=\"upper left\", frameon=False)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Measuring in Standard Units ###\n", "\n", "Let's see if we can find a way to identify this line. First, notice that linear association doesn't depend on the units of measurement – we might as well measure both variables in standard units. " ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "def standard_units(xyz):\n", " \"Convert any array of numbers to standard units.\"\n", " return (xyz - np.mean(xyz))/np.std(xyz) " ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " MidParent SU Child SU\n", "0 3.454652 1.804156\n", "1 3.454652 0.686005\n", "2 3.454652 0.630097\n", "3 3.454652 0.630097\n", "4 2.472085 1.888017\n", ".. ... ...\n", "929 -1.424873 -0.767591\n", "930 -1.424873 -1.326667\n", "931 -1.424873 -1.606205\n", "932 -2.185390 -0.068747\n", "933 -2.185390 -2.724356\n", "\n", "[934 rows x 2 columns]" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "heights_SU = pd.DataFrame(\n", " {'MidParent SU':standard_units(heights['MidParent']),\n", " 'Child SU':standard_units(heights['Child'])}\n", ")\n", "heights_SU" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "On this scale, we can calculate our predictions exactly as before. But first we have to figure out how to convert our old definition of \"close\" points to a value on the new scale. We had said that midparent heights were \"close\" if they were within 0.5 inches of each other. Since standard units measure distances in units of SDs, we have to figure out how many SDs of midparent height correspond to 0.5 inches.\n", "\n", "One SD of midparent heights is about 1.8 inches. So 0.5 inches is about 0.28 SDs." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.8014050969207576" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sd_midparent = np.std(heights.iloc[:,0])\n", "sd_midparent" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.27756111096536695" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "0.5/sd_midparent" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " We are now ready to modify our prediction function to make predictions on the standard units scale. All that has changed is that we are using the table of values in standard units, and defining \"close\" as above." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "def predict_child_su(mpht_su):\n", " \"\"\"Return a prediction of the height (in standard units) of a child \n", " whose parents have a midparent height of mpht_su in standard units.\n", " \"\"\"\n", " close = 0.5/sd_midparent\n", " close_points = heights_SU[(heights_SU['MidParent SU'] >= mpht_su-close) & (heights_SU['MidParent SU'] <= mpht_su+close)]\n", " return close_points['Child SU'].mean() " ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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\n", "
" ], "text/plain": [ " MidParent SU Child SU Prediction SU\n", "0 3.454652 1.804156 0.937589\n", "1 3.454652 0.686005 0.937589\n", "2 3.454652 0.630097 0.937589\n", "3 3.454652 0.630097 0.937589\n", "4 2.472085 1.888017 1.025864\n", ".. ... ... ...\n", "929 -1.424873 -0.767591 -0.444284\n", "930 -1.424873 -1.326667 -0.444284\n", "931 -1.424873 -1.606205 -0.444284\n", "932 -2.185390 -0.068747 -0.703401\n", "933 -2.185390 -2.724356 -0.703401\n", "\n", "[934 rows x 3 columns]" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "heights_with_su_predictions = heights_SU.copy()\n", "\n", "heights_with_su_predictions['Prediction SU'] = heights_SU['MidParent SU'].map(predict_child_su)\n", "\n", "heights_with_su_predictions" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(8,5))\n", "\n", "ax.scatter(heights_with_su_predictions['MidParent SU'], \n", " heights_with_su_predictions['Child SU'], \n", " label='Child_SU', \n", " color='darkblue')\n", "\n", "ax.scatter(heights_with_su_predictions['MidParent SU'], \n", " heights_with_su_predictions['Prediction SU'], \n", " label='Prediction_SU', \n", " color='gold')\n", "\n", "x_label = 'MidParent SU'\n", "\n", "y_label = ''\n", "\n", "y_vals = ax.get_yticks()\n", "\n", "plt.ylabel(y_label)\n", "\n", "plt.xlabel(x_label)\n", "\n", "ax.legend(bbox_to_anchor=(1.04,1), loc=\"upper left\", frameon=False)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This plot looks exactly like the plot drawn on the original scale. Only the numbers on the axes have changed. This confirms that we can understand the prediction process by just working in standard units." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Identifying the Line in Standard Units ###\n", "Galton's scatter plot has a *football* shape – that is, it is roughly oval like an American football. Not all scatter plots are football shaped, not even those that show linear association. But in this section we will pretend we are Galton and work only with football shaped scatter plots. In the next section, we will generalize our analysis to other shapes of plots.\n", "\n", "Here is a football shaped scatter plot with both variables measured in standard units. The 45 degree line is shown in red." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "tags": [ "remove_input" ] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "r = 0.5\n", "x_demo = np.random.normal(0, 1, 10000)\n", "z_demo = np.random.normal(0, 1, 10000)\n", "y_demo = r*x_demo + np.sqrt(1 - r**2)*z_demo\n", "\n", "plt.figure(figsize=(6,6))\n", "\n", "plt.xlim(-4, 4)\n", "\n", "plt.ylim(-4, 4)\n", "\n", "plt.scatter(x_demo, y_demo, s=10)\n", "\n", "plt.plot([-4,4],[-4,4], color='r', lw=2)\n", "\n", "plt.xlabel('x in standard units')\n", "\n", "plt.ylabel('y in standard units')\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "But the 45 degree line is not the line that picks off the centers of the vertical strips. You can see that in the figure below, where the vertical line at 1.5 standard units is shown in black. The points on the scatter plot near the black line all have heights roughly in the -2 to 3 range. The red line is too high to pick off the center." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "tags": [ "remove_input" ] }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "r = 0.5\n", "x_demo = np.random.normal(0, 1, 10000)\n", "z_demo = np.random.normal(0, 1, 10000)\n", "y_demo = r*x_demo + np.sqrt(1 - r**2)*z_demo\n", "\n", "plt.figure(figsize=(6,6))\n", "\n", "plt.xlim(-4, 4)\n", "\n", "plt.ylim(-4, 4)\n", "\n", "plt.scatter(x_demo, y_demo, s=10)\n", "\n", "plt.plot([-4,4],[-4,4], color='r', lw=2)\n", "\n", "plt.plot([1.5,1.5], [-4,4], color='k', lw=2)\n", "\n", "plt.xlabel('x in standard units')\n", "\n", "plt.ylabel('y in standard units');\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "So the 45 degree line is not the \"graph of averages.\" That line is the green one shown below." ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "tags": [ "remove_input" ] }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "r = 0.5\n", "x_demo = np.random.normal(0, 1, 10000)\n", "z_demo = np.random.normal(0, 1, 10000)\n", "y_demo = r*x_demo + np.sqrt(1 - r**2)*z_demo\n", "\n", "plt.figure(figsize=(6,6))\n", "\n", "plt.xlim(-4, 4)\n", "\n", "plt.ylim(-4, 4)\n", "\n", "plt.scatter(x_demo, y_demo, s=10)\n", "\n", "plt.plot([-4, 4], [-4*0.6,4*0.6], color='g', lw=2)\n", "\n", "plt.plot([-4,4],[-4,4], color='r', lw=2)\n", "\n", "plt.plot([1.5,1.5], [-4,4], color='k', lw=2)\n", "\n", "plt.xlabel('x in standard units')\n", "\n", "plt.ylabel('y in standard units')\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Both lines go through the origin (0, 0). The green line goes through the centers of the vertical strips (at least roughly), and is *flatter* than the red 45 degree line. \n", "\n", "The slope of the 45 degree line is 1. So the slope of the green \"graph of averages\" line is a value that is positive but less than 1. \n", "\n", "What value could that be? You've guessed it – it's $r$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The Regression Line, in Standard Units ###\n", "The green \"graph of averages\" line is called the *regression line*, for reasons we will explain shortly. But first, let's simulate some football shaped scatter plots with different values of $r$, and see how the line changes. In each case, the red 45 degree line has been drawn for comparison.\n", "\n", "The function that performs the simulation is called `regression_line` and takes $r$ as its argument." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "tags": [ "remove_input" ] }, "outputs": [], "source": [ "\n", "def regression_line(r):\n", " x = np.random.normal(0, 1, 10000)\n", " z = np.random.normal(0, 1, 10000)\n", " y = r*x + (np.sqrt(1-r**2))*z\n", " plt.figure(figsize=(6, 6))\n", " plt.xlim(-4, 4)\n", " plt.ylim(-4, 4)\n", " plt.scatter(x, y)\n", " plt.plot([-4, 4], [-4*r,4*r], color='g', lw=2)\n", " if r >= 0:\n", " plt.plot([-4,4],[-4,4], lw=2, color='r')\n", " else:\n", " plt.plot([-4,4], [4,-4], lw=2, color='r')" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "regression_line(0.6)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When $r$ is close to 1, the scatter plot, the 45 degree line, and the regression line are all very close to each other. But for more moderate values of $r$, the regression line is noticeably flatter." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The Regression Effect ###\n", "In terms of prediction, this means that for a parents whose midparent height is at 1.5 standard units, our prediction of the child's height is somewhat *less* than 1.5 standard units. If the midparent height is 2 standard units, we predict that the child's height will be somewhat less than 2 standard units.\n", "\n", "In other words, we predict that the child will be somewhat closer to average than the parents were.\n", "\n", "This didn't please Sir Francis Galton. He had been hoping that exceptionally tall parents would have children who were just as exceptionally tall. However, the data were clear, and Galton realized that the tall parents have children who are not quite as exceptionally tall, on average. Frustrated, Galton called this phenomenon \"regression to mediocrity.\" \n", "\n", "Galton also noticed that exceptionally short parents had children who were somewhat taller relative to their generation, on average. In general, individuals who are away from average on one variable are expected to be not quite as far away from average on the other. This is called the *regression effect*." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The Equation of the Regression Line ###\n", "In regression, we use the value of one variable (which we will call $x$) to predict the value of another (which we will call $y$). When the variables $x$ and $y$ are measured in standard units, the regression line for predicting $y$ based on $x$ has slope $r$ and passes through the origin. Thus the equation of the regression line can be written as:\n", "\n", "$$\n", "\\mbox{estimate of }y ~=~ r \\cdot x ~~~\n", "\\mbox{when both variables are measured in standard units}\n", "$$\n", "\n", "In the original units of the data, this becomes\n", "\n", "$$\n", "\\frac{\\mbox{estimate of}~y ~-~\\mbox{average of}~y}{\\mbox{SD of}~y}\n", "~=~ r \\times \n", "\\frac{\\mbox{the given}~x ~-~\\mbox{average of}~x}{\\mbox{SD of}~x}\n", "$$\n", "\n", "\n", "![regline](regline.png)\n", "\n", "The slope and intercept of the regression line in original units can be derived from the diagram above. \n", "\n", "$$\n", "\\mathbf{\\mbox{slope of the regression line}} ~=~ r \\cdot\n", "\\frac{\\mbox{SD of }y}{\\mbox{SD of }x}\n", "$$\n", "\n", "$$\n", "\\mathbf{\\mbox{intercept of the regression line}} ~=~\n", "\\mbox{average of }y ~-~ \\mbox{slope} \\cdot \\mbox{average of }x\n", "$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The three functions below compute the correlation, slope, and intercept. All of them take three arguments: the name of the table, the label of the column containing $x$, and the label of the column containing $y$." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "def correlation(t, label_x, label_y):\n", " return np.mean(standard_units(t[label_x])*standard_units(t[label_y]))\n", "\n", "def slope(t, label_x, label_y):\n", " r = correlation(t, label_x, label_y)\n", " return r*np.std(t[label_y])/np.std(t[label_x])\n", "\n", "def intercept(t, label_x, label_y):\n", " return np.mean(t[label_y]) - slope(t, label_x, label_y)*np.mean(t[label_x])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### The Regression Line and Galton's Data ###\n", "The correlation between midparent height and child's height is 0.32:" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.320949896063959" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "galton_r = correlation(heights, 'MidParent', 'Child')\n", "galton_r" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also find the equation of the regression line for predicting the child's height based on midparent height." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.6373608969694783, 22.636240549589772)" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "galton_slope = slope(heights, 'MidParent', 'Child')\n", "galton_intercept = intercept(heights, 'MidParent', 'Child')\n", "galton_slope, galton_intercept" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The equation of the regression line is\n", "\n", "$$\n", "\\mbox{estimate of child's height} ~=~ 0.64 \\cdot \\mbox{midparent height} ~+~ 22.64\n", "$$\n", "\n", "This is also known as the *regression equation.* The principal use of the regression equation is to predict $y$ based on $x$.\n", "\n", "For example, for a midparent height of 70.48 inches, the regression equation predicts the child's height to be 67.56 inches." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "67.55743656799861" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "galton_slope*70.48 + galton_intercept" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Our original prediction, created by taking the average height of all children who had midparent heights close to 70.48, came out to be pretty close: 67.63 inches compared to the regression line's prediction of 67.55 inches." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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MidParentChildPrediction
3370.4874.067.634239
3470.4870.067.634239
3570.4868.067.634239
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" ], "text/plain": [ " MidParent Child Prediction\n", "33 70.48 74.0 67.634239\n", "34 70.48 70.0 67.634239\n", "35 70.48 68.0 67.634239" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "heights_with_predictions[heights_with_predictions['MidParent'] == 70.48].head(3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here are all of the rows in Galton's table, along with our original predictions and the new regression predictions of the children's heights." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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MidParentChildPredictionRegression Prediction
075.4373.270.10000070.712373
175.4369.270.10000070.712373
275.4369.070.10000070.712373
375.4369.070.10000070.712373
473.6673.570.41578969.584244
...............
92966.6464.065.15657965.109971
93066.6462.065.15657965.109971
93166.6461.065.15657965.109971
93265.2766.564.22963064.236786
93365.2757.064.22963064.236786
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934 rows × 4 columns

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" ], "text/plain": [ " MidParent Child Prediction Regression Prediction\n", "0 75.43 73.2 70.100000 70.712373\n", "1 75.43 69.2 70.100000 70.712373\n", "2 75.43 69.0 70.100000 70.712373\n", "3 75.43 69.0 70.100000 70.712373\n", "4 73.66 73.5 70.415789 69.584244\n", ".. ... ... ... ...\n", "929 66.64 64.0 65.156579 65.109971\n", "930 66.64 62.0 65.156579 65.109971\n", "931 66.64 61.0 65.156579 65.109971\n", "932 65.27 66.5 64.229630 64.236786\n", "933 65.27 57.0 64.229630 64.236786\n", "\n", "[934 rows x 4 columns]" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "heights_with_predictions['Regression Prediction'] = galton_slope*heights['MidParent'] + galton_intercept\n", "\n", "heights_with_predictions" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(8,5))\n", "\n", "ax.scatter(heights_with_predictions['MidParent'], \n", " heights_with_predictions['Child'], \n", " label='Child', \n", " color='darkblue')\n", "\n", "ax.scatter(heights_with_predictions['MidParent'], \n", " heights_with_predictions['Prediction'], \n", " label='Prediction', \n", " color='gold')\n", "\n", "ax.scatter(heights_with_predictions['MidParent'], \n", " heights_with_predictions['Regression Prediction'], \n", " label='Regression Prediction', \n", " color='lightblue')\n", "\n", "x_label = 'MidParent'\n", "\n", "y_label = ''\n", "\n", "y_vals = ax.get_yticks()\n", "\n", "plt.ylabel(y_label)\n", "\n", "plt.xlabel(x_label)\n", "\n", "ax.legend(bbox_to_anchor=(1.04,1), loc=\"upper left\", frameon=False)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The grey dots show the regression predictions, all on the regression line. Notice how the line is very close to the gold graph of averages. For these data, the regression line does a good job of approximating the centers of the vertical strips." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Fitted Values ##\n", "The predictions all lie on the line and are known as the \"fitted values\". The function `fit` takes the name of the table and the labels of $x$ and $y$, and returns an array of fitted values, one fitted value for each point in the scatter plot." ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "def fit(table, x, y):\n", " \"\"\"Return the height of the regression line at each x value.\"\"\"\n", " a = slope(table, x, y)\n", " b = intercept(table, x, y)\n", " return a * table[x] + b" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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MidParentChildFitted
075.4373.270.712373
175.4369.270.712373
275.4369.070.712373
375.4369.070.712373
473.6673.569.584244
............
92966.6464.065.109971
93066.6462.065.109971
93166.6461.065.109971
93265.2766.564.236786
93365.2757.064.236786
\n", "

934 rows × 3 columns

\n", "
" ], "text/plain": [ " MidParent Child Fitted\n", "0 75.43 73.2 70.712373\n", "1 75.43 69.2 70.712373\n", "2 75.43 69.0 70.712373\n", "3 75.43 69.0 70.712373\n", "4 73.66 73.5 69.584244\n", ".. ... ... ...\n", "929 66.64 64.0 65.109971\n", "930 66.64 62.0 65.109971\n", "931 66.64 61.0 65.109971\n", "932 65.27 66.5 64.236786\n", "933 65.27 57.0 64.236786\n", "\n", "[934 rows x 3 columns]" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "heights['Fitted'] = fit(heights, 'MidParent', 'Child')\n", "\n", "heights" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is easier to see the line in the graph below than in the one above." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#heights.with_column('Fitted', fit(heights, 'MidParent', 'Child')).scatter('MidParent')\n", "\n", "fig, ax = plt.subplots(figsize=(8,5))\n", "\n", "ax.scatter(heights['MidParent'], \n", " heights['Child'], \n", " label='Child', \n", " color='darkblue'\n", " )\n", "\n", "ax.scatter(heights['MidParent'], \n", " heights['Fitted'], \n", " label='Fitted', \n", " color='gold'\n", " )\n", "\n", "x_label = 'MidParent'\n", "\n", "y_label = ''\n", "\n", "y_vals = ax.get_yticks()\n", "\n", "plt.ylabel(y_label)\n", "\n", "plt.xlabel(x_label)\n", "\n", "ax.legend(bbox_to_anchor=(1.04,1), loc=\"upper left\", frameon=False)\n", "\n", "plt.show()\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Another way to draw the line is to use the option `fit_line=True` with the Table method `scatter`." ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#heights.scatter('MidParent', fit_line=True)\n", "\n", "x_data = heights['MidParent']\n", "\n", "y_data = heights['Child']\n", "\n", "fig, ax = plt.subplots(figsize=(8,6))\n", "\n", "m, b = np.polyfit(x_data, y_data, 1)\n", "\n", "minx, maxx = np.min(x_data),np.max(x_data)\n", "\n", "ax.plot([minx,maxx],[m*minx+b,m*maxx+b], label='Best Fit Line', color='red')\n", "\n", "ax.scatter(heights['MidParent'], \n", " heights['Child'], \n", " color='darkblue'\n", " )\n", "\n", "\n", "x_label = 'MidParent'\n", "\n", "y_label = 'Child'\n", "\n", "y_vals = ax.get_yticks()\n", "\n", "plt.ylabel(y_label)\n", "\n", "plt.xlabel(x_label)\n", "\n", "ax.legend(bbox_to_anchor=(1.04,1), loc=\"upper left\", frameon=False)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Units of Measurement of the Slope ###\n", "The slope is a ratio, and it worth taking a moment to study the units in which it is measured. Our example comes from the familiar dataset about mothers who gave birth in a hospital system. The scatter plot of pregnancy weights versus heights looks like a football that has been used in one game too many, but it's close enough to a football that we can justify putting our fitted line through it. In later sections we will see how to make such justifications more formal." ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [], "source": [ "baby = pd.read_csv(path_data + 'baby.csv')" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#baby.plot.scatter('Maternal Height', 'Maternal Pregnancy Weight', fit_line=True)\n", "\n", "x_data = baby['Maternal Height']\n", "\n", "y_data = baby['Maternal Pregnancy Weight']\n", "\n", "fig, ax = plt.subplots(figsize=(8,6))\n", "\n", "m, b = np.polyfit(x_data, y_data, 1)\n", "\n", "minx, maxx = np.min(x_data),np.max(x_data)\n", "\n", "ax.plot([minx,maxx],[m*minx+b,m*maxx+b], label='Best Fit Line', color='red')\n", "\n", "ax.scatter(baby['Maternal Height'], \n", " baby['Maternal Pregnancy Weight'], \n", " color='darkblue'\n", " )\n", "\n", "\n", "x_label = 'Maternal Height'\n", "\n", "y_label = 'Maternal Pregnancy Weight'\n", "\n", "y_vals = ax.get_yticks()\n", "\n", "plt.ylabel(y_label)\n", "\n", "plt.xlabel(x_label)\n", "\n", "ax.legend(bbox_to_anchor=(1.04,1), loc=\"upper left\", frameon=False)\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "3.572846259275052" ] }, "execution_count": 32, "metadata": {}, "output_type": "execute_result" } ], "source": [ "slope(baby, 'Maternal Height', 'Maternal Pregnancy Weight')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The slope of the regression line is **3.57 pounds per inch**. This means that for two women who are 1 inch apart in height, our prediction of pregnancy weight will differ by 3.57 pounds. For a woman who is 2 inches taller than another, our prediction of pregnancy weight will be \n", "$$\n", "2 \\times 3.57 ~=~ 7.14\n", "$$\n", "pounds more than our prediction for the shorter woman.\n", "\n", "Notice that the successive vertical strips in the scatter plot are one inch apart, because the heights have been rounded to the nearest inch. Another way to think about the slope is to take any two consecutive strips (which are necessarily 1 inch apart), corresponding to two groups of women who are separated by 1 inch in height. The slope of 3.57 pounds per inch means that the average pregnancy weight of the taller group is about 3.57 pounds more than that of the shorter group." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "### Example\n", "\n", "Suppose that our goal is to use regression to estimate the height of a basset hound based on its weight, using a sample that looks consistent with the regression model. Suppose the observed correlation $r$ is 0.5, and that the summary statistics for the two variables are as in the table below: \n", "\n", "| |**average** |**SD** | \n", "|------:|:-------------:|:---------:|\n", "|height |14 inches |2 inches |\n", "|weight |50 pounds |5 pounds |\n", "\n", "To calculate the equation of the regression line, we need the slope and the intercept.\n", "\n", "$$\n", "\\mbox{slope} ~=~ \\frac{r \\cdot \\mbox{SD of }y}{\\mbox{SD of }x} ~=~\n", "\\frac{0.5 \\cdot 2 \\mbox{ inches}}{5 \\mbox{ pounds}} ~=~ 0.2 ~\\mbox{inches per pound}\n", "$$\n", "\n", "\n", "$$\n", "\\mbox{intercept} ~=~ \\mbox{average of }y - \\mbox{slope}\\cdot \\mbox{average of } x\n", "~=~ 14 \\mbox{ inches} ~-~ 0.2 \\mbox{ inches per pound} \\cdot 50 \\mbox{ pounds}\n", "~=~ 4 \\mbox{ inches}\n", "$$\n", "\n", "The equation of the regression line allows us to calculate the estimated height, in inches,\n", "based on a given weight in pounds:\n", "\n", "$$\n", "\\mbox{estimated height} ~=~ 0.2 \\cdot \\mbox{given weight} ~+~ 4\n", "$$\n", "\n", "The slope of the line is measures the increase in the estimated height per unit increase in weight. The slope is positive, and it is important to note that this does not mean that we think basset hounds get taller if they put on weight. The slope reflects the difference in the average heights of two groups of dogs that are 1 pound apart in weight. Specifically, consider a group of dogs whose weight is $w$ pounds, and the group whose weight is $w+1$ pounds. The second group is estimated to be 0.2 inches taller, on average. This is true for all values of $w$ in the sample.\n", "\n", "In general, the slope of the regression line can be interpreted as the average increase in $y$ per unit increase in $x$. Note that if the slope is negative, then for every unit increase in $x$, the average of $y$ decreases." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Endnote ###\n", "Even though we won't establish the mathematical basis for the regression equation, we can see that it gives pretty good predictions when the scatter plot is football shaped. It is a surprising mathematical fact that no matter what the shape of the scatter plot, the same equation gives the \"best\" among all straight lines. That's the topic of the next section." ] } ], "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": "3.6.12" } }, "nbformat": 4, "nbformat_minor": 2 }