{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Relationships" ] }, { "cell_type": "markdown", "metadata": { "tags": [ "remove-print" ] }, "source": [ "[Click here to run this notebook on Colab](https://colab.research.google.com/github/AllenDowney/ElementsOfDataScience/blob/master/09_relationships.ipynb) or\n", "[click here to download it](https://github.com/AllenDowney/ElementsOfDataScience/raw/master/09_relationships.ipynb)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This chapter explores relationships between variables.\n", "\n", "* We will visualize relationships using scatter plots, box plots, and violin plots,\n", "\n", "* And we will quantify relationships using correlation and simple regression.\n", "\n", "The most important lesson in this chapter is that you should always visualize the relationship between variables before you try to quantify it; otherwise, you are likely to be misled." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "tags": [ "remove-cell" ] }, "outputs": [], "source": [ "from os.path import basename, exists\n", "\n", "def download(url):\n", " filename = basename(url)\n", " if not exists(filename):\n", " from urllib.request import urlretrieve\n", " local, _ = urlretrieve(url, filename)\n", " print('Downloaded ' + local)\n", " \n", "download('https://github.com/AllenDowney/' +\n", " 'ElementsOfDataScience/raw/master/brfss.hdf5')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Exploring relationships\n", "\n", "So far we have mostly considered one variable at a time. Now it's time to explore relationships between variables.\n", "As a first example, we'll look at the relationship between height and weight.\n", "\n", "We'll use data from the Behavioral Risk Factor Surveillance System (BRFSS), which is run by the Centers for Disease Control at . The survey includes more than 400,000 respondents, but to keep things manageable, we'll work with a random subsample of 100,000." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(100000, 9)" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import pandas as pd\n", "\n", "brfss = pd.read_hdf('brfss.hdf5', 'brfss')\n", "brfss.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here are the first few rows." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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SEXHTM4WTKG3INCOME2_LLCPWT_AGEG5YR_VEGESU1_HTMG10AGE
962302.0160.060.338.01398.5252906.02.14150.047.0
2449202.0163.058.975.084.05750313.03.14160.089.5
573122.0163.072.578.0390.2485995.02.64160.042.0
325732.0165.074.841.011566.7053003.01.46160.032.0
3559292.0170.0108.863.0844.4854503.01.81160.032.0
\n", "
" ], "text/plain": [ " SEX HTM4 WTKG3 INCOME2 _LLCPWT _AGEG5YR _VEGESU1 \\\n", "96230 2.0 160.0 60.33 8.0 1398.525290 6.0 2.14 \n", "244920 2.0 163.0 58.97 5.0 84.057503 13.0 3.14 \n", "57312 2.0 163.0 72.57 8.0 390.248599 5.0 2.64 \n", "32573 2.0 165.0 74.84 1.0 11566.705300 3.0 1.46 \n", "355929 2.0 170.0 108.86 3.0 844.485450 3.0 1.81 \n", "\n", " _HTMG10 AGE \n", "96230 150.0 47.0 \n", "244920 160.0 89.5 \n", "57312 160.0 42.0 \n", "32573 160.0 32.0 \n", "355929 160.0 32.0 " ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "brfss.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The BRFSS includes hundreds of variables. For the examples in this chapter, we'll work with just nine.\n", "The ones we'll start with are `HTM4`, which records each respondent's height in cm, and `WTKG3`, which records weight in kg." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "height = brfss['HTM4']\n", "weight = brfss['WTKG3']" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To visualize the relationship between these variables, we'll make a **scatter plot**, which shows one marker for each pair of values.\n", "Scatter plots are common and readily understood, but they are surprisingly hard to get right.\n", "\n", "As a first attempt, we'll use `plot` with the style string `o`, which plots a circle for each data point." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "plt.plot(height, weight, 'o')\n", "\n", "plt.xlabel('Height in cm')\n", "plt.ylabel('Weight in kg')\n", "plt.title('Scatter plot of weight versus height');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Each marker represents the height and weight of one person.\n", "\n", "Based on the shape of the result, it looks like taller people are heavier, but there are a few things about this plot that make it hard to interpret.\n", "Most importantly, it is **overplotted**, which means that there are markers piled on top of each other so you can't tell where there are a lot of data points and where there is just one.\n", "When that happens, the results can be seriously misleading.\n", "\n", "One way to improve the plot is to use transparency, which we can do with the keyword argument `alpha`. The lower the value of alpha, the more transparent each data point is. \n", "\n", "Here's what it looks like with `alpha=0.02`." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(height, weight, 'o', alpha=0.02)\n", "\n", "plt.xlabel('Height in cm')\n", "plt.ylabel('Weight in kg')\n", "plt.title('Scatter plot of weight versus height');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is better, but there are so many data points, the scatter plot is still overplotted. The next step is to make the markers smaller.\n", "With `markersize=1` and a low value of alpha, the scatter plot is less saturated.\n", "Here's what it looks like." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(height, weight, 'o', alpha=0.02, markersize=1)\n", "\n", "plt.xlabel('Height in cm')\n", "plt.ylabel('Weight in kg')\n", "plt.title('Scatter plot of weight versus height');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Again, this is better, but now we can see that the points fall in discrete columns. That's because most heights were reported in inches and converted to centimeters.\n", "We can break up the columns by adding some random noise to the values; in effect, we are filling in the values that got rounded off.\n", "Adding random noise like this is called **jittering**.\n", "\n", "We can use NumPy to add noise from a normal distribution with mean 0 and standard deviation 2." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "\n", "noise = np.random.normal(0, 2, size=len(brfss))\n", "height_jitter = height + noise" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here's what the plot looks like with jittered heights." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(height_jitter, weight, 'o', \n", " alpha=0.02, markersize=1)\n", "\n", "plt.xlabel('Height in cm')\n", "plt.ylabel('Weight in kg')\n", "plt.title('Scatter plot of weight versus height');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The columns are gone, but now we can see that there are rows where people rounded off their weight. We can fix that by jittering weight, too." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "noise = np.random.normal(0, 2, size=len(brfss))\n", "weight_jitter = weight + noise" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(height_jitter, weight_jitter, 'o', \n", " alpha=0.02, markersize=1)\n", "\n", "plt.xlabel('Height in cm')\n", "plt.ylabel('Weight in kg')\n", "plt.title('Scatter plot of weight versus height');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, let's zoom in on the area where most of the data points are.\n", "\n", "The functions `xlim` and `ylim` set the lower and upper bounds for the $x$ and $y$-axis; in this case, we plot heights from 140 to 200 centimeters and weights up to 160 kilograms.\n", "\n", "Here's what it looks like." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(height_jitter, weight_jitter, 'o', \n", " alpha=0.02, markersize=1)\n", "\n", "plt.xlim([140, 200])\n", "plt.ylim([0, 160])\n", "plt.xlabel('Height in cm')\n", "plt.ylabel('Weight in kg')\n", "plt.title('Scatter plot of weight versus height');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we have a reliable picture of the relationship between height and weight.\n", "\n", "Below you can see the misleading plot we started with and the more reliable one we ended with. They are clearly different, and they suggest different relationships between these variables." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "tags": [ "hide-input" ] }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Set the figure size\n", "plt.figure(figsize=(8, 3))\n", "\n", "# Create subplots with 2 rows, 1 column, and start plot 1\n", "plt.subplot(1, 2, 1)\n", "plt.plot(height, weight, 'o')\n", "\n", "plt.xlabel('Height in cm')\n", "plt.ylabel('Weight in kg')\n", "plt.title('Scatter plot of weight versus height')\n", "\n", "# Adjust the layout so the two plots don't overlap\n", "plt.tight_layout()\n", "\n", "# Start plot 2\n", "plt.subplot(1, 2, 2)\n", "\n", "plt.plot(height_jitter, weight_jitter, 'o', \n", " alpha=0.02, markersize=1)\n", "\n", "plt.xlim([140, 200])\n", "plt.ylim([0, 160])\n", "plt.xlabel('Height in cm')\n", "plt.ylabel('Weight in kg')\n", "plt.title('Scatter plot of weight versus height')\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The point of this example is that it takes some effort to make an effective scatter plot." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Exercise:** Do people tend to gain weight as they get older? We can answer this question by visualizing the relationship between weight and age. \n", "\n", "But before we make a scatter plot, it is a good idea to visualize distributions one variable at a time. So let's look at the distribution of age.\n", "\n", "The BRFSS dataset includes a column, `AGE`, which represents each respondent's age in years. To protect respondents' privacy, ages are rounded off into 5-year bins. `AGE` contains the midpoint of the bins.\n", "\n", "- Extract the variable `'AGE'` from the DataFrame `brfss` and assign it to `age`.\n", "\n", "- Plot the PMF of `age` as a bar chart, using `Pmf` from `empiricaldist`." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "tags": [ "remove-cell" ] }, "outputs": [], "source": [ "try:\n", " import empiricaldist\n", "except ImportError:\n", " !pip install empiricaldist" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "from empiricaldist import Pmf" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "tags": [ "remove-cell" ] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Solution\n", "\n", "# Extract AGE\n", "age = brfss['AGE']\n", "\n", "# Plot the PMF\n", "Pmf.from_seq(age).bar()\n", "\n", "# Label the axes\n", "plt.xlabel('Age in years')\n", "plt.ylabel('PMF')\n", "plt.title('Distribution of age');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Exercise:** Now let's look at the distribution of weight. The column that contains weight in kilograms is `WTKG3`. Because this column contains many unique values, displaying it as a PMF doesn't work very well." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "Pmf.from_seq(weight).bar()\n", "\n", "plt.xlabel('Weight in kg')\n", "plt.ylabel('PMF')\n", "plt.title('Distribution of weight');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To get a better view of this distribution, try plotting the CDF.\n", "\n", "Compute the CDF of a normal distribution with the same mean and standard deviation, and compare it with the distribution of weight. Is the normal distribution a good model for this data? What about log-transformed weights?" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "tags": [ "remove-cell" ] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Solution\n", "\n", "from empiricaldist import Cdf\n", "\n", "Cdf.from_seq(weight).plot()\n", "\n", "plt.xlabel('Weight in kg')\n", "plt.ylabel('CDF')\n", "plt.title('Distribution of weight');" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "tags": [ "remove-cell" ] }, "outputs": [ { "data": { "text/plain": [ "(81.20201715130878, 20.945679292027915)" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Solution\n", "\n", "from scipy.stats import norm\n", "\n", "mean, std = weight.mean(), weight.std()\n", "mean, std" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "tags": [ "remove-cell" ] }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Solution\n", "\n", "xs = np.linspace(25, 150)\n", "ys = norm(mean, std).cdf(xs)\n", "plt.plot(xs, ys, color='gray', label='Normal model')\n", "\n", "Cdf.from_seq(weight).plot(label='BRFSS data')\n", "\n", "plt.xlabel('Weight in kg')\n", "plt.ylabel('CDF')\n", "plt.title('Distribution of weight');" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "tags": [ "remove-cell" ] }, "outputs": [ { "data": { "text/plain": [ "(1.8960966589399912, 0.107276940850216)" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Solution\n", "\n", "log_weight = np.log10(weight)\n", "mean, std = log_weight.mean(), log_weight.std()\n", "mean, std" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "tags": [ "remove-cell" ] }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Solution\n", "\n", "xs = np.linspace(1.4, 2.4)\n", "ys = norm(mean, std).cdf(xs)\n", "plt.plot(xs, ys, color='gray', label='Normal model')\n", "\n", "Cdf.from_seq(log_weight).plot(label='BRFSS data')\n", "\n", "plt.xlabel('Weight in kg (log10)')\n", "plt.ylabel('CDF')\n", "plt.title('Distribution of weight');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Exercise:** Now let's make a scatter plot of `weight` versus `age`. Adjust `alpha` and `markersize` to avoid overplotting. Use `ylim` to limit the `y` axis from 0 to 200 kilograms." ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "tags": [ "remove-cell" ] }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Solution\n", "\n", "plt.plot(age, weight, 'o', alpha=0.01, markersize=1)\n", "\n", "plt.xlabel('Age in years')\n", "plt.ylim([0, 200])\n", "plt.ylabel('Weight in kg')\n", "plt.title('Weight versus age');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Exercise:** In the previous exercise, the ages fall in columns because they've been rounded into 5-year bins. If we jitter them, the scatter plot will show the relationship more clearly.\n", "\n", "- Add random noise to `age` with mean `0` and standard deviation `2.5`.\n", "- Make a scatter plot and adjust `alpha` and `markersize` again." ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "tags": [ "remove-cell" ] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Solution\n", "\n", "noise = np.random.normal(0, 2.5, size=len(brfss))\n", "age_jitter = age + noise\n", "\n", "plt.plot(age_jitter, weight_jitter, 'o', \n", " alpha=0.01, markersize=1)\n", "\n", "plt.xlabel('Age in years')\n", "plt.ylabel('Weight in kg')\n", "plt.ylim([0, 200])\n", "plt.title('Weight versus age');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Visualizing relationships\n", "\n", "In the previous section we used scatter plots to visualize relationships between variables, and in the exercises, you explored the relationship between age and weight. In this section, we'll see other ways to visualize these relationships, including boxplots and violin plots.\n", "\n", "Let's start with a scatter plot of weight versus age." ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "age = brfss['AGE']\n", "noise = np.random.normal(0, 1.0, size=len(brfss))\n", "age_jitter = age + noise\n", "\n", "plt.plot(age_jitter, weight_jitter, 'o', \n", " alpha=0.01, markersize=1)\n", "\n", "plt.xlabel('Age in years')\n", "plt.ylabel('Weight in kg')\n", "plt.ylim([0, 200])\n", "plt.title('Weight versus age');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this version of the scatter plot, the weights are jittered, but there's still space between the columns.\n", "That makes it possible to see the shape of the distribution in each age group, and the differences between groups.\n", "With this view, it looks like weight increases until age 40 or 50, and then starts to decrease.\n", "\n", "If we take this idea one step farther, we can use KDE to estimate the density function in each column and plot it.\n", "And there's a name for that; it's called a **violin plot**. Seaborn provides a function that makes violin plots, but before we can use it, we have to get rid of any rows with missing data.\n", "Here's how:" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(92729, 9)" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data = brfss.dropna(subset=['AGE', 'WTKG3'])\n", "data.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`dropna()` creates a new DataFrame that drops the rows in `brfss` where `AGE` or `WTKG3` are `NaN`.\n", "Now we can call `violinplot`." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import seaborn as sns\n", "\n", "sns.violinplot(x='AGE', y='WTKG3', data=data, inner=None)\n", "\n", "plt.xlabel('Age in years')\n", "plt.ylabel('Weight in kg')\n", "plt.title('Weight versus age');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `x` and `y` arguments mean we want `AGE` on the x-axis and `WTKG3` on the y-axis. `data` is the DataFrame we just created, which contains the variables we're going to plot. The argument `inner=None` simplifies the plot a little.\n", "\n", "In the figure, each shape represents the distribution of weight in one age group. The width of these shapes is proportional to the estimated density, so it's like two vertical KDEs plotted back to back.\n", "\n", "Another, related way to look at data like this is called a **box plot**, which represents summary statistics for the values in each group. \n", "The code to generate a box plot is very similar. " ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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vXOCwiFhbcFvMzKzJ6jn76Cmyw0hmZtbiqp199PH09HHgdkk/Ydf7KVxUcNvMzKzBqh0+6hkIb1l6jEkPMzNrUdXOPvpMIxtiZmbNV8/ZRz+m79XF3cAC4OsR8YciGmZmZo1XT0fz48BzwDfSYwPZ6akvSa/NzKxF1HNK6isj4g1lr38s6c6IeIOkRUU1zMzMGq+ePYV2SdN7XqTnbenl1kJaZWZmTVHPnsIngLskdZKNZvpi4G8kjQUuK7JxZmbWWDWTQkTcKOlQ4KVkSeHhss7lLxXYNjMza7BqF6+9OSJ+LundvSYdLImIuLbgtpmZWYNV21N4I/Bz4M8qTAvAScHMrMVUu3jtn9LfDzSuOWZm1kz13KN5kqRLJP1Pej1b0hnFN83MzBqtnlNSLwVuIrsjGsCjZMNpm5lZi6knKbRFxNWkG+xExHbAd0UzM2tB9SSFTZIOII1/JOmP8f0VzMxaUr0Xr10PzJL0S6AdOLnQVpmZWVNUu07hXOCXwO/ITk89jOzitUciYltDWmdmZg1V7fDRQcCXgWeAnwGnATN44eY7ZmbWYqpdp3AegKQxwBzgGOCDwDckrY+I2Y1popmZNUo9fQp7A/sCE9KjC3igyEaZmVlzVOtTuBg4HNgI3A38CrgoItY1qG1mZtZg1foUpgN7ASuBp4HlwPoGtMnMzJqkWp/CiZJEtrdwDNmpqUdIehb4dc/YSGZm1jqq9ilERAAPSlpPdsFaN/AO4GjAScHMrMVU61P4P2R7CMcC28iuWfg18C3c0Wxm1pKq7SnMBH4AfCwiVjSmOWZm1kzV+hQ+3siGmJlZ89UzIJ6ZmY0QhSUFSd+S9IykB8vK9pd0i6TH0t/9yqadL2mJpEcknVBUu8zMrH9F7ilcCpzYq+yTwK0RcShwa3qNpNnAKWSnv54IfE3SngW2zczMKigsKUTEncCzvYrnApel55cBJ5WVXxURWyLiCWAJ2WmvZmbWQI3uU5jUcyZT+ntgKp8KPFVWb3kq60PSmZIWSFqwevXqQhtrZjbS1DMgXiOoQllUqhgRFwMXA8yZM6diHRt55s+fT2dnZ816PXXOO++8mnVnzZrFWWedtdttMxtOGp0UVkmaEhErJE0hu1cDZHsG08rqHUQ2GqtZXTo7O7n/4UXQtneNmlsBuH/N49WrrXm+T1G9iaenPeDkY8NPo5PC9cDpwOfT3+vKyq+QdBHQARwK3NPgto0oRfyyhr4buEbFAaBtb0ad9NK65q9l+48e7lOWJZ7F6ICJNeeP2AnAA6urX/cZa9f3KWvJz8aGjcKSgqQrgTcBbZKWk42V9HngaklnAMuA9wJExCJJVwMPAduBsyNiR1Fts+wfffHi+9lvv+r1dmbbNlauvL/mMtdVGFS9s7OTRQ/fzz4HVJ93azoQ+MTq2nE2r61ZpTA6YCKj3vmm3Ja3/frb+5RlyedhdEBb1XkjvWcPrF5TM06s7Vsni/Moex4wueq8OyPrely0ekPNODvWrqxZx4a2wpJCRJzaz6S39FN/HjCvqPYMF408RLHffvDWPxl4G/vzs1sql+9zALz0Hfmd0/DwDTtzW9ZQpQPaGPNnc3Nb3tYfX1exfM8DJrPPOz+UW5zN13+zT5n7e4aXodLRPCw04svd2dnJI4vvZ9LESn3vu9pjZ/ZTcf2K6uMTrlrv/nhrns7OTh56eAnj26ZXrbedMQA8tWZr1Xob1yzrU+b+nvw4KQxAZ2cnjz30ANMnjK5ab8yO7QBsebrvcelyy7q3VSyfNFGcdlx+H83lt23PbVlmgzG+bTqvmfupXJZ193X/2qcs+zG1hEn7z6g5/x6RJZ/1qyr///VY9ezSPmUjoR/GSWGApk8YzT8ce2DtinX4wi+fqV3JzOoyaf8Z/OUJ/5jb8v77ps/2Kevs7GTJQ0uYPq76Xs+YbVni2bqs+l4PwLLn+u75NJOTgpnZAEwfN53z55yf2/I+t+BzuS0rDx4l1czMSpwUzMyspCUOH42Ezh8zs0ZoiaTQ2dnJksWLmTFh/6r1xuzITs3c1rWq5jKXdvce4NXMrPW1RFIAmDFhf/7x9fndm+ezv7gpt2UNRV1dXXR393/B2WCsWwc7d+46ZFVXVxebN+R7wdnmtdC1rW8cNmyuODzFoKzZTNfWvjFiQ3fFq5AHK9aup2vbrteRZHE29HvB2eDirKFr265nwnR1dbFjw8aKF5wN1o61K+ja9lyfOBs3bKp4KulgbFyzlK6tY3NZ1lDVzKMfLZMUWkVXVxcbuyPXawtWrQ82h8cXtNaV/d9srnga6WCtenYpm3fsk9vyBiI79fURpu9bfQiSMduzbuGty7trLnPZhvqGIHFSGKE6OjrYY481uQ9zMXlyR584W0avyX2Yi472vnHWjPlDrgPidbT1jbF2tHIf+6ijfUqFOGNyH+aio33XsZQ6OjpYN3pD7sNcdLTv2yfOjjFbc714raNtTC7LGsqm7zuZTx9zem7Lm/ery2pXwklhQLq6utjUvS23i86WdW9jrHb9Bd/R0cF6rc39iuaJUzpqVzQbpjo6Oli/57bcL16bOGnX0Qu6urrYtHFTrtcWLN24lLFdQ+dwmE9JNTOzEu8pDEBHRwdbYkOuw1zs1eFf8GbDRUdHB1u3b839iuYxHUPncJj3FMzMrMRJwczMSpwUzMyspCX6FLq6uti8vjvXC86Wrn+WffAdQYeVNc/Xvnite0v2d8JeNZdF9bthmhWmq6uLTRs21n0aaT2WbljJ2K5NNeu1RFKwwVm3rvYVzRs3Zn/Hj69veZMrXGuzeW3tK5r/kK69edGE2nE2rwXady2bNWtW7RmBzu7sCtBZbQdXr9hWeZmxdn1dVzRHd3ZVryaMq15v7XrodZ1CVr6m5hXN0d2dYtR+02LtGmjvm+V2rF1Z84rmnd3ZTbH3mFDjRttpefS6TgGyu6XVuqJ5c3c2/Mw+EyZVrbdxzTJoO6RP+apnl9Z18dq6jdlFXPuNr35h2KpnlzJxUt84ra4lkkJHRwfb2DP3YS5Gd1T/cg5n9W5EN23KNqKTJ9euP3ly3+XWvbHekMV5cXsd9dv7LrfegQt7hgO48MIL66pfrt51gRfWZ1aFDf4u2qfsxnvWnWLUsUvT3rYbcVanOH039n3j7Dv4ON3ZMBzTal2Y1nbIoGMArH0ui9P7GoTeJk7qG6dROjo62LqzO/eL18Z01P4B0RJJodWsWl/fMBfrnsvGzNlvXPX7Oa9aH0zstW1qxEa0kXEaYSAj5u7O+rTaZ9OIOI36bCC7U1qti9dWbc72eibtU/uH5bLnlnEIQ2ePxElhgJbVcUXzM5uyDfqBY6u/vcu6t3Ho1F3LBvSLJw2GNXFK9XkmThnYcs2ssnr/j7Z2ZnsjY6bXvv7gEJq3R1KJk8IA1P+FyDbWe02tXv/QqYM/DALD49e1WStppT3f/jgpDMBI+EKY2cjm6xTMzKykZfYUlnY/W/M6hZXPZedXTh5X+/zKpd3PckgLn31kZkPbsg0ra16nsGpTdofISWOr33WyZ3mHMELOPqr/WH927ng9p5oe0jFpSHX+mNnIUf82bQ0AYw6qvbE/hAl1LbclkoKP9ZtZK2nmNs19CmZmVuKkYGZmJU05fCTpSWAjsAPYHhFzJO0PfA+YCTwJ/HlErGtG+8zMRqpm7ikcFxFHRsSc9PqTwK0RcShwa3ptZmYNNJQOH80Fes6/ugw4qXlNMTMbmZqVFAK4WdK9ks5MZZMiYgVA+pvPjZDNzKxuzTol9diI6JJ0IHCLpBp3RnlBSiJnAkyfPr2o9pmZjUhN2VOIiK709xngh8DRwCpJUwDS34pDkUbExRExJyLmtLe3V6piZmaD1PCkIGmspPE9z4HjgQeB64GeO0qcDlS/7ZSZmeWuGYePJgE/lNQT/4qI+Kmk3wJXSzoDWAa8twltMzMb0RqeFCLiceAVFcrXAm9pdHvMzOwFQ+mUVDMzazInBTMzK3FSMDOzkpYYOtusmebPn09nui93j57XPUMb95g1a9aA7sNt1mhOCmYF2HvvvZvdBLNBcVKwhmu1X9ZDvX1mA+GkYEOCf1mbDQ1OCsNEK/26Hspts9bSSv83jeKkMIz513V13iAMXc38bIbr/02j3jMnhWHCG6x8DNcNwkhQxGfT6v83RbxnTgrWslp9gzCctdJnM5Bf8DD4X/GNes+cFMzMcjac90idFKykUb94bOhyP8zAtdp70LJJwV/ufAznXzytpJkJ29+BkaVlk0Il/nJX58Q4vLhj1oqgiGh2GwZtzpw5sWDBgqa2odovuFmzZu1S7j0SMxsKJN0bEXMqTRtRewqN4j0SMxuunBR2k3/5m1kr8f0UzMysxEnBzMxKnBTMzKzEScHMzEqcFMzMrMRJwczMSpwUzMysxEnBzMxKhvUwF5JWA0sHOFsbsKaA5rRynFZal1aL00rr0mpxhvK6zIiI9koThnVSGAxJC/ob88NxmhfDcYZuDMcZujGKiOPDR2ZmVuKkYGZmJSMxKVzsOEMyhuMM3RiOM3Rj5B5nxPUpmJlZ/0binoKZmfXDScHMzEpaJilImibpNkmLJS2S9NFU/t70eqekfk/bknSipEckLZH0yUHE+Z6khenxpKSFg40j6UWS7pH0+xTjM6n83yU9LOl+ST+UNHE316W/OLmtS1ndPSX9TtINRaxLlThFrMuTkh5Iy1xQ1Pr0E6eI9Zko6Qep/Yslvbag9akUJ8//m8PKlrVQ0gZJ5xbwf9NfnCI+m4+l/80HJV2Z/mdfIenX6bvxY0n79jNvn+9PXSKiJR7AFOCo9Hw88CgwG/gj4DDgdmBOP/PuCXQCBwNjgN8DswcSp1edLwL/b7BxAAHj0vPRwN3AHwPHA6NS+ReAL+zmulSMk+e6lNX/OHAFcEN6neu69BenoHV5EmjrVZb7+lSKU9D6XAZ8KD0fA0wsaH36xClifcrmWQnMKOq71jtO3usCTAWeAPZOr68G3g/8FnhjKvsg8C+D+f7092iZPYWIWBER96XnG4HFwNSIWBwRj9SY/WhgSUQ8HhFbgauAuQOJ0zNdkoA/B64cbJzIPJdejk6PiIibI2J7Kv8NcNBurkvFOHmuS1rOQcCfAt8si53ruvQXJ+916U8R61NNjp/NvsAbgEvSemyNiPV5r09/cfJenzJvATojYmnBn00pTkHrMgrYW9IoYB+gi+xH7p1p+i3Ae+poZ91aJimUkzQTeCXZL996TAWeKnu9nLIN/QDjvB5YFRGP7U4cZYdBFgLPALdERO91+SDwP7sTo444uawL8CXg74Gd/UzPZV1qxMlrXSBLnDdLulfSmRWm57U+1eLktT4HA6uBbys77PZNSWN71cljfWrFyfPzATiFyhvlvD6banFyWZeIeBq4EFgGrAC6I+Jm4EHgnanae4Fp/bSt1ve0opZLCpLGAdcA50bEhnpnq1BW9VzdKnFOpfKXcUBxImJHRBxJ9qvmaElHlMX+NLAduHx3YtSKQw7rIukdwDMRcW/FheS0LrXikNPnkhwbEUcBbwPOlvSGsnbk9tlUi0N+6zMKOAqYHxGvBDYBpePcOa5P1Tjk+PlIGkO20fx+r/I8P5t+45DTukjaj2wv4sVABzBW0l+SJbazJd1Ldgh7az+xqn1/+tVSSUHSaLIN9eURce0AZl3Ortn2ILLdtAHFSbt47wa+l0ccgLSLfTtwYopxOvAO4LRIBw53N0Y/cfJal2OBd0p6kmxX+c2S/ruAdakWJ9fPJSK60t9ngB+SHRLI/bOpEifP9VkOLC/bQ/wB2cY77/WpFifv/5u3AfdFxKqegoL+byrFyXNd3go8ERGrI2IbcC1wTEQ8HBHHR8SryJJPZ6WZ+/v+1DTQToih+iDLwN8BvtTP9Nvpv6N5FPA4WUbu6fw5fKBxyDaod1RpY11xgHZSJxywN/ALsi/0icBDQPvuxqgWJ8916TXPm3ihoznXdekvTt7rAowFxpc9/1Vaft6fTcU4RXw26XM/LD2/APj3Ij6fSnEKWp+rgA/0+vxz/671jlPAd+01wCKyvgSRddT/LXBgmr4H2bbogwP5/tT8/6mn0nB4AK8j2w27H1iYHm8H3kWWnbcAq4CbUv0O4May+d9OdiZRJ/DpgcZJ0y4FPtKr/oDjAC8HfpdiPEg6iwFYQnY8sifuf+3mulSMk+e69Jr/TbyQFHJdl/7i5L0uZMfGf58ei3rqFvDZVIxTxGcDHAksSN+DHwH7FfH5VIpTwOezD7AWmFBWVsS69IlT0GfzGeBhsv/P7wJ7AR9N8z8KfJ4XRqYoxan2/an18DAXZmZW0lJ9CmZmtnucFMzMrMRJwczMSpwUzMysxEnBzMxKnBRsRJD0Lkkh6aU5LvMjkv4qr+WZDQU+JdVGBElXk41we2tEXNDk5uQmDb6miOhvXCmzAfGegrW8NE7VscAZZAOY9ZTvIelrabz6GyTdKOnkNO1Vku5Ig4ndJGlKheVeIOm89Px2SV9Qdn+KRyW9vkL970qaW/b6cknvTIMS/ruk3yob8//DPe2WdKuk+9K4+HNT+Uxl9yP4GnAfME3SpcrG3H9A0sdyfQNtRHFSsJHgJOCnEfEo8Kyko1L5u4GZwMuADwGvhdLYVv8JnBzZ+DLfAubVEWdURBwNnAv8U4Xp3wQ+kGJMAI4BbiRLVt0R8Wrg1cBfS3ox8AfgXZENanYc8MW0ZwDZ8MnfiWxwuTayYeKPiIiXAd+u500xq2RUsxtg1gCnkg2rDdl4NaeS/cJ+HfD9dOhlpaTbUp3DgCOAW9I2eE+yoYtr6Rkc8V6yZLOLiLhD0v+XdCBZQromIrZLOh54ec9eCjABOJRseJZ/TaNb7iQbYnlSqrM0In6Tnj8OHCzpP4GfADfX0VazipwUrKVJOgB4M3CEpCDbwIekv6fyMMak8kUR8doBhtuS/u6g//+t7wKnkR3G+mBZvL+NiJt6tf39ZIMWvioitqURYF+UJm/qqRcR6yS9AjgBOJvsBi8fxGwQfPjIWt3JZIdZZkTEzIiYRnaLw9cBdwHvSX0Lk8gG0gN4BGiXVDqcJOnwnNpzKdnhJSJiUSq7CTgrHbZC0kvSDWgmkN0jYpuk48huLdmHpDZgj4i4Bvi/pCGpzQbDewrW6k4lG0my3DXAX5D9qn4L2QiUj5LdQa87IramQzlfScf+R5EdflrEboqIVZIWk40S2uObZIeb7kt9BqvJ+kEuB36s7KbrC8lGy6xkKtkdzXp+5J2/u+20kcunpNqIJmlcRDyXDjPdQ3a3qpUFxtsHeAA4KiK6i4pjNljeU7CR7gZJE8luePIvBSeEt5KdyXSRE4INVd5TMDOzEnc0m5lZiZOCmZmVOCmYmVmJk4KZmZU4KZiZWcn/AiaOghJ5Hb5AAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sns.boxplot(x='AGE', y='WTKG3', data=data, whis=10)\n", "\n", "plt.xlabel('Age in years')\n", "plt.ylabel('Weight in kg')\n", "plt.title('Weight versus age');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The argument `whis=10` turns off a feature we don't need. If you are curious about it, you can [read the documentation](https://seaborn.pydata.org/generated/seaborn.boxplot.html).\n", "\n", "Each box represents the distribution of weight in an age group. The height of each box represents the range from the 25th to the 75th percentile. The line in the middle of each box is the median.\n", "The spines sticking out of the top and bottom show the minimum and maximum values.\n", "\n", "In my opinion, this plot gives us the best view of the relationship between weight and age.\n", "\n", "* Looking at the medians, it seems like people in their 40s are the heaviest; younger and older people are lighter.\n", "\n", "* Looking at the sizes of the boxes, it seems like people in their 40s have the most variability in weight, too.\n", "\n", "* These plots also show how skewed the distribution of weight is; that is, the heaviest people are much farther from the median than the lightest people.\n", "\n", "For data that skews toward higher values, it is sometimes useful to look at it on a logarithmic scale.\n", "We can do that with the Pyplot function `yscale`." ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "sns.boxplot(x='AGE', y='WTKG3', data=data, whis=10)\n", "\n", "plt.yscale('log')\n", "plt.xlabel('Age in years')\n", "plt.ylabel('Weight in kg (log scale)')\n", "plt.title('Weight versus age');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "On a log scale, the distributions are symmetric, so the spines are the same length, the boxes are close to the middle of the figure, and we can see the relationship between age and weight more clearly.\n", "\n", "In the following exercises, you'll have a chance to generate violin and box plots for other variables." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Exercise:** Previously we looked at a scatter plot of height and weight, and saw that taller people tend to be heavier. Now let's take a closer look using a box plot. The `brfss` DataFrame contains a column named `_HTMG10` that represents height in centimeters, binned into 10 cm groups.\n", "\n", "- Make a boxplot that shows the distribution of weight in each height group.\n", "\n", "- Plot the y-axis on a logarithmic scale.\n", "\n", "Suggestion: If the labels on the `x` axis collide, you can rotate them like this:\n", "\n", "```\n", "plt.xticks(rotation='45')\n", "```" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "tags": [ "remove-cell" ] }, "outputs": [ { "data": { "image/png": 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5umzFI5WDrVyXYslEWqeazufzgGe5+8oml6UtpX37RJ1RtqGZu9J74kENhxle+usUClMbX/XXUS9w87VrALBpu40ai6LhqtKdqkkMDxOalLrS4OAgf77vj8zrm1BxuwnD4SKWLfkHy26zfGhLqmWT7lb1cNJ14ZaeC0Y76M+ariGlAlQelfSu+PAh4CYz+zHJ+zH8a5PL1jbm9U3gvUt2bzjORbc/mkJp2ova6FtHw0mlWSrVGEYaXZfHnwnxR+Rpg4OD3Hf/3UytMEfc1jg378NPVr6yen2JsW5ZTzz5fB7Wrt1pnqO6rFxFfuu2xuOIjKLSqKR/GcuCSHZNnQH7H9d4nN9dv/O60Dl8D/RXOocZBmDZyvsrv8EKHVRFqlHNqKSlJO/HAKHP4U7gC+7e0ivHzjnnHJ544olRt3vqqTBr5Mknn1xxuzlz5nD55ZenUjZJSf847JUVqiRV8mvG/vKbXC7HyvHjUptdNTer/AydImmppvP5IWAW8K24/HrC0NV9gC8CpzenaNUZGhriqQ0bmTiu8p/SE1Pb9s3lO4A3b9vG0FDX9rOLiADVJYb93f3wguWlZnaLux9uZn9sVsEqKZwSI5fLMYtePnBY42dkF9x6A+NzcxovoIhIhvVUsc0sM5s3shAfj8yv25Lxl+6+1N3P6uvra8Xbi4h0tGpqDO8GbjWzQcL9np8JnGNmU4CvNrNwIiIy9kZNDO5+nZntDTybkBjuL+hw/lwTyybSdPl8HtatS+eq5ZXryG/JNx5HpMUqXeD2Enf/uZm9uuipBWaGu/+gyWWTFOTzedauTecmO6vWwLbtOvCJdLpKNYYjgJ8DJ5Z4zgElBiGfz7NubelrEGq1bhXkt41t4snlcqxcsT21uZJy/bnRNxRpc5UucPtw/P2msSuOQLp3oMvlcozrWZHarT1nz9WBT6ScUv+7pa7Mb/epX6q5wG0O8Akg5+7Hmdli4BB3v7LppWsD+XyejUObU5nnaPnQZiZT3xlxu96BLpfLMTxuRWpXPudmd2DiWbWq8pQYa+N03dMqTP0d46AL3DJn0qRJrS5CzaoZlXQV8BXgA3H5T8B3gK5IDK2gO9B1jmpmK31o3XoAFox20J81W7Oftrl2rgXUoprE0O/u/2lm5wO4+zYzG25yudpGLpdjCxtSm111Qq4Dz4ibKIwa2pbOdBYrtpHfPLZ9GNUcKJT0pd1Uc4HbBjObSZwvycwOpovvzyAi0umqvcDtR8BCM7uNMG/Sa5paKpEol8uxcuXa1CbRy81UjU1kNJWuYzgPuA34HWHo6rMIF7g94O5bx6R0ZRTOlZR1unWoiJSSz+dZvWoVZ9/wmafXbR3exnbfPupre6yH8b07Du+bt21hum2o+r0r1Rj2AC4hXPF8N3A7IVHkgbGfv7iAuy8Flg4MDJzZynKkYXBwkD/dv4w5o0z71BN7dYYeW1Z2myfUwCfSMfr6+nYejbh5GLbb6C/uMXom7ji87zJxHLXMLVfpOoZ/AjCzCcAAsAR4M/BFM1vj7ourfhepaE4fnH5ENa16lX395tbciGb9qsoXuG2MozEnjzIac/0qoBWjMVeOMiXG0Mbwu2/yqHGenl5SpEGtvC9MNUejXYBpQF/8yQPlT1ulq1Q1HHN9aAbbc/aCyhvOrv4G92mpqvxrQ/kX9O9RecP+sS+/SDNU6mO4AngusA74NaEp6V/dffUYlU0yIOvDMbNefqlNtVcmQ3f311WqMcwDJgIPAo8CjwBrxqBMIiJjJotXJjdbpT6GY83MCLWGJYRhq/ua2SrglyNzKUlj8vk8q1bBp6/Z0T+wbRi2F99lu4Qeg3G9O5a3DMMG1+ynIuV0aw2gVhX7GNzdgXvMbA3horYh4ATgQKBrEsPyoS2jzpX05IYwgnf2lPEV4ywqGkZfauTB8ObN2PbRh6RZTw/jJk58enlcjFds1ZrK027HGRnYdWrl91u1BmbPHbVYIpJxlfoY3kGoKRwKbCUMVf0l8GW6qPO52s7ELbGdckKufAfrotzO8Zo98qCa8q+PZZ89t3Ln8Oy56lwV6QaVagzzge8B/+juj41NcdpPtVXPdu2gVOeqiNSqUh/Du8ayICJlrRhlEr2hePVfX2/5bWIcZqZXLJFO1fhVVSJNVNV1BkPxOoOZo1wnMVNNYSLVUGKQtqamMJGxV8202yIi0kU6osawfGg1F9y649aJT2xYx6Zto88bNGncOOZM2TGBz/Kh1SzMzWlKGUVEsiKTiaFw2u1SbcY9+WF6qrhHcs+kSYwvSAQLc3PUBi0iXS+TiaFw2m1dySgiki71MYiISEImawytVu0Mjd08O6OIZJcSQ0o0Q6OIdAolhjqoFiAinUx9DCIikqDEICIiCUoMIiKSoMQgIiIJSgwiIpKgxCAiIglKDCIikqDEICIiCUoMIiKSoCufRaRtVDsPGWgusmZSYhCRtqZ5yMaeEoOItA3VANpDJvsYzOxEM7tiaGio1UUREek4mUwM7r7U3c/q6+trdVFERDqOmpIkdcUdiOo8FMkWJQZpOnUeimSLEoOkTrUAkWzLZB+DiIg0j2oMIlI1XYDWHZQYRKQh6kPqPEoMIlI11QC6g/oYREQkQYlBREQSlBhERCRBiUFERBKUGEREJEGJQUREEpQYREQkQYlBREQSdIFbF9K02CJSiRKDZGpKA83VI9J8SgxdqNMOlllKbCJZoMQgmdJpSU2kHanzWUREEpQYREQkIZOJwcxONLMrhoaGWl0UEZGOk8nE4O5L3f2svr6+VhdFRKTjZDIxiIhI8ygxiIhIghKDiIgkKDGIiEiCEoOIiCQoMYiISIISg4iIJCgxiIhIghKDiIgkKDGIiEiCEoOIiCTofgwiY6jZd6DTHe4kDUoMIi3W7DvQ6Q53UislBpEx1OwzdNUAJA3qYxARkQQlBhERSVBiEBGRBCUGERFJUOezSAEN9xRRYhAZlYZ7SrdRYhApoBqAiPoYRESkiBKDiIgkKDGIiEiCEoOIiCQoMYiISIISg4iIJCgxiIhIgrl7q8tQNzP7K/CXGl7SD6xoUnGyHj/LZVd8xVf82uLv5e6zyj2Z6cRQKzO7090HFH9sYyu+4it+tuKrKUlERBKUGEREJKHbEsMVit+S2Iqv+Iqfofhd1ccgIiKj67Yag4iIjEKJQUREEro6MZiZtboMIiLtpisTg5lNBXB1sIjIKJp9AtmO8buu89nMXgGcCjjwNeAed1/e2lKJSLsws0OAKcAGd/9lXNfj7tu7JX5XJQYz2we4EXgdMADMBqYCl7v7Aym/198AJwD3Asvc/VYzs7RqKc2Mn+WyK77iNxj7WODfgJ8Bs4Cn3P20+FzDB++sxO+2pqSJwK3ufpu7XwJ8H/gr8DYz2yOtNzGzFxM+nAeAycBXzewUd/c0qo3NjJ/lsiu+4jcQ18ysBzgN+IS7nw2cDjzDzJYCuPv2et8ja/HH1VOIDLsfWGBmf+/u/+Huv4076vXAPsAjKZ155IDr3f0yADO7C/hBDP2dBmM3O36Wy674il+X+D/vZvZ7wOK6jcBLzeynZnaVu59R77Eha/G7psZgZr3uvhX4IHCQmb0OwN3vAlYRMm1aHdKrgJkjC+5+E/Bq4KNmdnCbx89y2RVf8Rs1CLzHzPYuWPcaYLKZPa9b4ndNYnD34fjwN4T2t+PN7B1x3aNAj5lNTOm9fgLMNrNvFKy7idDZvbCd42e57Iqv+CnE/y/gK8AtFvokcfc1wDDQ1y3xOzYxmNmeZjbBzKbE5V4Ad18NXAt8FXijmX0P+DjwWXffnML7jrzPMcCzzOxqMxsfn54CvKBd42e57Iqv+CnGvwj4DKGJ6lwz+xCwH5DvlvgdOSrJzI4HPgXcBkwHPuTuD5jZOGC7x575uDwfWOvuT9b5XhMA3H1LwbrxsdkKM/sxsJowPPZFwGvc/d52iJ/lsiu+4jf43T+a0K/Y4+7/ZrGTIjY5D8dtjgf2BPYHLnX3P9ZQ9kzHx9075ofQ6bInsAw4EpgDvJuQKZ8bt+mNvxek8H4nA98DbgCOB6YXPDeh4PFBwCuARe0SP8tlV3zFb/C7fxhhNOJbgFsJo5wOA8bF53trKWunxXf3zkoMIzuFMAXt7uyoEb2D0I+wT1yeB1wDTBvZpo732Qe4DzgEeAPwI+CdwMKi7ca3W/wsl13xFT+F+O8CPhwfTyI0JX8OOKRgm6OA/ePjmo4RWY/v7p3Tx2Bme5vZAYS2xumEaqUDuPulwCXA+81skocrnU9z97Uj29RhOvCEu//S3b8FXAjsC7zczHaNZTqKcI1EPcOCd2ti/GaXPevxZzQ5/swmx+9vcvysf77LgEPMbB933wR8DNhImBFhxD7EeyjXcYz4A3BwE+M3u/ydUWMAToofxn8B/0zoeBkCzinYZj6hJlFXDaHM+36NcBX1SBVuCXA9cExcfgYwr87YvYTRBc2K37Syj8G+GdeMfQNMjr97mhT/GfG3NSn+3gWPv9rkz/frWfr+EJqYJxJmOhhPOFF8S8FnMokwYvHNdZbXCh7nCMegN6cYP1dQ/omEGkJq5S/+yXyNwcxmAm8D3uDurwIeBxYRqp8Xmtm7LYzpPRJ4IeFMvN73OsjMjjCzA+Oqmwhf2MNip9jtwLeBt5rZBHd/zGuYh8nMphUsOnAXcGAa8c3shWZ2mJkdFFf9Ajg4xbIfYmbHmtkxcdVtaZU9xj/OzE6Pi6numxj/b4C3m9kucVXa8Y8DLjGzRYTEkHb8o4HbzewtcdUdKcd/iZmdaWZnxVW/ILTvpxX/QDM7NNb6IcX/rdgJez2hLf5LwFxCYnsxYdj6sz2ceS8FtlVb5qL4/2g7JufME/bPEkItp9H4xxJmafg88GlCYriO0NTWcPxSMp8YCDtiKuHDxt1HbnF3D3ARsBh4L/B24E0ehqvWLP5jf4NQXfuAmV3q7l8mJKKTgFPipg5sIowbriX+q4FfxOTT62Hk1FXAU4R5YeqOb2YnAFcCZxEufjmVcEa5vtHYMf7LCV/alwDnmdlLgKuBDcArU4g/Cfh74AozO8nDqIurYqwTCe3QjcQ/jvBducPdnyrY9+tTKv9BwBeAz7v7n2P8rwBrSOe7cyxwMeHgNzeu/mqMlcbnexxwKWEc/GkWJqK8GlibUvmPB75I6GR+p5n9a/zfeqKR+BbsCXwSOBf4EPBb4HbgSeAy4DnAF8zskrjNHTWW/QDgP4FzgL8dOblz9x8ShsXv02D8owj7/j3AvwPrgOPd/QZCcmgofllpVDta/QOcTTgDOB24gPClfTvw6YJtdmsgfi/hbOX0uDwN+CXw5bh8GiFp3ERo/9u/xvjzCaMLfhLfZ4AdVeiphAP6VfXEJwxVuxt4QVx+LWHoGsCujcSOMV4I3Ens+CJ0hL2KULW1RvdNwfucGffN/xKry4QD1ZsJB8F6y784xjwrLs+M6+an8dkWxLggPs4RRtGcRDgxe2OD350jgd8RhmvOIpyoHJvGdyfGmAL8D+FgBOHgcxrwrLh8KuH/rd74kwkJ7aVxeR6wEvhcXD6d8L9db/xSg1H+EVgO7BGXXwy8lRpHTsXXHgUcE/8PbiQcd6YVPD+rwfjvIR534vJ7gS8VLM9sJH7Z900rUCt/4gHiVMJZ2GcL1l9HAwmh6D3+X+EHFNfdXvR+zwNm1xF7HnBEfPzPhGawAWBiXNcTf+9Xa3xCdfbsguVFhLbI+XHZ6o0dX3cgcHB8PIMwNHgp8E3gkynsm/Hx9ysJSe1FwIOEKvWFhPZiayD+i4DL4z/WscBPge8APwc+1Wj542uPJJzt7Uk4Y/0k4WB+ZcE2z6+z/C8HDipYPhf4MjCj6POtd/9MISSW4+N35P/i/vk18LUUyj+FcMa9b8G6iwnzmn2s3v0fv+cHEA6c3wHeW/T8+wjHi13q/EwXxb+5D5gZ1x0UvzfnEpMDMKWB+M8mzAC9V8H6g4BvFyzXVf5R378ZQVv1QzyAxsd/Rzhw1/XBxBj7FDw+jdA8Na9gXT+h7W/fFOL3FTz+EOHgekBcfkGDsWfF372EM7SlBV/cfWqNXSJ+L+Hs9+3AG+O6PYCbgaMajR+Xnwl8Kz7+J2ALYbr0ND7bQ4HPEuaZOZsd18P8DDg8hfgvICT7DwDvKlj/K+CddcZ/VtHyyMnDgfG99hr5bFIo/3nAdwknFBcVrL8DODWF+B8BHiEk/i8QmngWEPoDptcR+wRCLfnmGOsVhIR2fsE286lzMEpB/JsItaXnFTx3MCE5nEJIEF8nDJao+n2Kyv914jVY8bkDgF/HxyMtJL31/B0Vy5BmsHb5ITQv3Fv4gdX54W8kmZ0/BjxMMjl8m4Iztjrif6tgXeGFOx8innXHL0ktZ0ulyj5y4Ogh1KSmxS/Wj2r95ytV9rh+YtHylcCSBvbNNwvWTSe0tb4ufrYfJDQ5vD6lz/ZA4FVF211FrA2l8NmeDTxE6ADti+veS+j3SiP+uKL9vjTl7/5kwsnWywrWXUQYFl5v/O8UrHtn/Ew/xY5a4jXEUTc1xF5CqG2MjOG/gtC8mSM0H32QcDZ+BqEJtNbvfnH8y9nRpDxSO9sTeIxwrHh+WvHj8iLCceG1hAEMz673c65YjmYEbfUPsBcNtLcRqrf/zY722cJ/wI8Rhsa+jXAGeB/wzAbjf6PguYkFj28iNM1UneBGid1LOHv5LuFs7E5gcYplLzw4vZpwRrlXivE/CWwGTo7LR9T6OZeIX5h8dil4fHJK5S+Mfyahvf484F/id6emf+xqvjuEmuwPgMNS+O4Xlv+NhIPrgfH531FjjbPS/1bRdqcR+t36a4y/BDijYHkW8OP4eAGhme3y+N2v+cSxTPwfEkYK9RRss4aCM/0U4k+Ky32Eq57vqid+1eVoVuCs/xDOMKbGf7LvkUwOryKMkvkS9TcjFcf/RtHz+8R/vBc0IfYPCWfdz0q77IQ2/7fHL25a++abcX0PO65er7vqXCL+1UXPv5GQFNIqf+F35zDCSKqPN2P/x+cnE86856a9f9hRk7027c83PjeO0NfzG2C/OmL3sqOZtJfQpPk7doz33yu+R1+dZS8Xf1bB33YURVdppxh/b0ITU1NqCk+Xo5nBO+WH0IH1fXa0cT+XGs8kq4z/jbi8H3A4NZ4tVRl7b+AT1FhTqCH+swnNAqmMkCizb57TxH3/HMLQw4bn0irz3Xk+sHsTyz9AGLLak3L8b8flBfEzmJBy/JHy70voE6grqRXFHhcT0M/i8mmEPoxUOmxLxD+V0NxZd7/mKPH/jtBisVta359yPx05u2ozmFk/YbTEEkImP9LdH2lC/ENi/CM8XCiTZuxD46oXu/sTacQuir+E0HF7uLs/3oT4I/vmqCbt+5HyH+HujzUpfrO/O+OaGP9Qwv5p5v7vIcXvfox/FaHN/xhCM82ytGKXiP8md787S/FL6YQL3MaEu68gdAL3ETopU/vHKIq/G/DqNP8xCmJPI7TPp5YUiuL3xfipJYWi+LsR9k2z9v1I+VNLCiXiN/u708z402j+/k/tux8vcJtAGOd/KnBKmkmhTPzUDtrNjl9Rs6sknfJDGBXzE2ocZdAO8bNcdsVX/BTin0EzO2ozHr/Uj5qSamBhZtZNWYyf5bIrvuI3GNu8iQe6rMcv+Z5KDCIiUkh9DCIikqDEICIiCUoMIiKSoMQgHcvM1hctn2Fml43ymleY2ftG2eZIM7u2zHPnmdnkMs99ycwWj1ZukVZTYhAp4O4/cvdPNhDiPMKUFKViv9Xd720gtsiYUGKQrmRms8zs+2Z2R/w5NK5/ulZhZgvN7Ffx+Y8W1UCmmtn3zOx+M7s6Xoz0DsJcOTea2Y0l3vMmMxuIj9eb2QVm9of4HnNKbD/VzL5iZsvM7G4zO7ngtZ8ys7vM7KcWbot5k5k9FO+uJtIQJQbpZLuY2e9HfoCPFjx3CeEmSwcQZlL9UonXXwJcErcpvhp3f0LtYDFh/qBD3f3SuN1R7n7UKGWbAvzK3V8A3EKYebXYh4Ahd3+euz+fMM//yGtvcvcXEW71+HHgaMLkjh8tEUekJuNaXQCRJnrK3fcbWTCzMwiTzAG8DFhsZiNPTzOzXYtefwjhFpwQZhT9dMFzv/E4NURMOvMJ00RXawthhlIIM9EeXWKbl7Hjfsf4jvuVbyFMXQ3hdpeb3X2rmS2L5RBpiBKDdKsewn2qnypcWZAoRrO54PEwtf8vbS24mrXc6w0odQVq4Wu3j5TF3bebmf6npWFqSpJudQPh1osAmNl+Jbb5FaGZCQrO3EexDiiuedSruIzTU4orUpESg3SrdwADsVP3XsKtN4udB7zLzH4DPAMYqiLuFcD1pTqf6/BxYLqZ3WNmfyDcAEak6TRXkkgZ8XqEp9zdzewU4A3u/spWl0uk2dQeKVLei4DLLHQ8rAHe3NriiIwN1RhERCRBfQwiIpKgxCAiIglKDCIikqDEICIiCUoMIiKSoMQgIiIJ/x9twbVZCFy00gAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Solution\n", "\n", "data = brfss.dropna(subset=['_HTMG10', 'WTKG3'])\n", "\n", "sns.boxplot(x='_HTMG10', y='WTKG3', data=data, whis=10)\n", "\n", "plt.yscale('log')\n", "plt.xticks(rotation='45')\n", "\n", "plt.xlabel('Height in cm')\n", "plt.ylabel('Weight in kg')\n", "plt.title('Weight versus height');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Exercise:** As a second example, let's look at the relationship between income and height. \n", "\n", "In the BRFSS, income is represented as a categorical variable; that is, respondents are assigned to one of 8 income categories. The column name is `INCOME2`. \n", "\n", "Before we connect income with anything else, let's look at the distribution by computing the PMF.\n", "\n", "* Extract `INCOME2` from `brfss` and assign it to `income`.\n", "\n", "* Plot the PMF of `income` as a bar chart.\n", "\n", "Note: You will see that about a third of the respondents are in the highest income group; ideally, it would be better if there were more groups at the high end, but we'll work with what we have." ] }, { "cell_type": "code", "execution_count": 31, "metadata": { "tags": [ "remove-cell" ] }, "outputs": [ { "data": { "image/png": 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wHOBU4LeAzwHnOe2FJO35tnuZa1X9qKourKqXAU8D1gJfSPKa3VKdJGlspp2LKclDgefTHUUsBt5HNwOrJGkPNt1J6g8DT6T7pLc/rqprdktVkqSxm+4I4qXA94HHAa9LMnFndYCqqv2HLE6SND7T3QfhbK+S9CA13RDTPsDpwGOBq+g+uGfr7ihMkjRe0x0hfBhYAlwNPA/4i8ErkiTNCdOdgziqqn4OIMkHgcuHL0mSNBdMdwRxz8QDh5Yk6cFluiOIo5Pc3j8O8LD+uVcxSdIebrqrmObtrkIkSXPLoJexJjkxyQ1J1iY5s7H+yCRfTvLDJG+atG59kquTXJnEz6KQpN1s2qk2dlSSecBZdJP9bQRWJ1lZVdeNNLsVeC3woik2c0JV3TxUjZKkqQ15BHEssLaq1lXV3cD5wNLRBlW1uapWM3IyXJI0NwwZEAvpPktiwsZ+2UwVcHGSK5Is26WVSZKmNdgQE+0PF6rGsqkcV1WbkjwKuCTJ9VV16TY76cJjGcChhx66Y5VKkrYx5BHERuCQkeeLgE0z7VxVm/rvm4EL6IasWu1WVNWSqlqyYMGCnShXkjRqyCOI1cARSQ4HbgROoftUumkl2RfYq6ru6B8/F/iTwSqV9GNh8ZmfG9u+17/r+WPb97gMFhBVtTXJGcBFwDy6if6uTXJ6v355kp8G1gD7A/cmeT1wFHAgcEGSiRrPraoLh6pVkrStIY8gqKpVwKpJy5aPPP423dDTZLcDRw9ZmyRp+/y8B0lSkwEhSWoyICRJTQaEJKnJgJAkNRkQkqSmQS9zlfTjx5vRNMEjCElSkwEhSWoyICRJTQaEJKnJgJAkNRkQkqQmA0KS1GRASJKaDAhJUpMBIUlqMiAkSU0GhCSpyYCQJDUZEJKkJgNCktQ0aEAkOTHJDUnWJjmzsf7IJF9O8sMkb5pNX0nSsAb7wKAk84CzgOcAG4HVSVZW1XUjzW4FXgu8aAf6Sj+2/FAe/TgY8gjiWGBtVa2rqruB84Glow2qanNVrQbumW1fSdKwhgyIhcCGkecb+2W7tG+SZUnWJFmzZcuWHSpUkrStIQMijWW1q/tW1YqqWlJVSxYsWDDj4iRJ2zdkQGwEDhl5vgjYtBv6SpJ2gSEDYjVwRJLDk+wNnAKs3A19JUm7wGBXMVXV1iRnABcB84BzquraJKf365cn+WlgDbA/cG+S1wNHVdXtrb5D1SpJ2tZgAQFQVauAVZOWLR95/G264aMZ9ZVmw0tJpZ3jndSSpCYDQpLUZEBIkpoMCElSkwEhSWoyICRJTQaEJKnJgJAkNRkQkqSmQe+k1p7Pu5WlPZdHEJKkJgNCktRkQEiSmgwISVKTASFJajIgJElNBoQkqcmAkCQ1eaNczxu+JOmBPIKQJDUZEJKkJgNCktQ0aEAkOTHJDUnWJjmzsT5J3tevvyrJMSPr1ie5OsmVSdYMWackaVuDnaROMg84C3gOsBFYnWRlVV030uwk4Ij+66nAB/rvE06oqpuHqlGSNLUhr2I6FlhbVesAkpwPLAVGA2Ip8JGqKuArSQ5I8uiqumnAun7seIWVpHEYcohpIbBh5PnGftlM2xRwcZIrkiybaidJliVZk2TNli1bdkHZkiQYNiDSWFazaHNcVR1DNwz16iRPb+2kqlZU1ZKqWrJgwYIdr1aS9ABDBsRG4JCR54uATTNtU1UT3zcDF9ANWUmSdpMhA2I1cESSw5PsDZwCrJzUZiVwWn8109OA26rqpiT7JtkPIMm+wHOBawasVZI0yWAnqatqa5IzgIuAecA5VXVtktP79cuBVcDzgLXAD4BX9N0PAi5IMlHjuVV14VC1SpK2NehcTFW1ii4ERpctH3lcwKsb/dYBRw9ZmyRp+7yTWpLUZEBIkpoMCElSkwEhSWoyICRJTQaEJKnJgJAkNRkQkqQmA0KS1GRASJKaDAhJUpMBIUlqMiAkSU0GhCSpyYCQJDUZEJKkJgNCktRkQEiSmgwISVKTASFJajIgJElNBoQkqWnQgEhyYpIbkqxNcmZjfZK8r19/VZJjZtpXkjSswQIiyTzgLOAk4Cjg1CRHTWp2EnBE/7UM+MAs+kqSBjTkEcSxwNqqWldVdwPnA0sntVkKfKQ6XwEOSPLoGfaVJA1o/oDbXghsGHm+EXjqDNosnGFfAJIsozv6ALgzyQ07UfOOOhC4eUc75927sJJtWduOsbYdt8P1WdtYajtsqhVDBkQay2qGbWbSt1tYtQJYMbvSdq0ka6pqyThrmIq17Rhr23FzuT5rm50hA2IjcMjI80XAphm22XsGfSVJAxryHMRq4IgkhyfZGzgFWDmpzUrgtP5qpqcBt1XVTTPsK0ka0GBHEFW1NckZwEXAPOCcqro2yen9+uXAKuB5wFrgB8Arttd3qFp3gbEOcU3D2naMte24uVyftc1CqppD+5KkBznvpJYkNRkQkqQmA2InJDknyeYk14y7lsmSHJLk80n+Lcm1SV437pomJNknyeVJvtbX9sfjrmmyJPOS/GuSvx93LaOSrE9ydZIrk6wZdz2jkhyQ5FNJru//7n5h3DUBJHl8//ua+Lo9yevHXdeEJG/o/x9ck+S8JPuMu6YJnoPYCUmeDtxJdzf4E8ddz6j+jvRHV9VXk+wHXAG8qKquG3NpJAmwb1XdmeQhwJeA1/V3088JSX4XWALsX1UvGHc9E5KsB5ZU1Q7fKDeUJB8GvlhVZ/dXHz68qr435rIeoJ/G50bgqVX1zTlQz0K6v/+jququJH8DrKqqD423so5HEDuhqi4Fbh13HS1VdVNVfbV/fAfwb3R3qI9dP7XKnf3Th/Rfc+adSpJFwPOBs8ddy4+LJPsDTwc+CFBVd8+1cOg9C/j3uRAOI+YDD0syH3g4c+ieLwPiQSDJYuApwL+MuZT79EM4VwKbgUuqas7UBvwP4PeBe8dcR0sBFye5op9mZq74GWAL8Nf90NzZSfYdd1ENpwDnjbuICVV1I/DnwLeAm+juBbt4vFXdz4DYwyV5BPBp4PVVdfu465lQVT+qqifT3SV/bJI5MUSX5AXA5qq6Yty1TOG4qjqGbqbjV/fDnHPBfOAY4ANV9RTg+8Ccmqa/H/b6VeCT465lQpKfpJuI9HDgYGDfJC8Zb1X3MyD2YP34/qeBj1fVZ8ZdT0s/DPEF4MTxVnKf44Bf7cf6zwd+OcnHxlvS/apqU/99M3AB3czHc8FGYOPIkeCn6AJjLjkJ+GpVfWfchYx4NvCNqtpSVfcAnwF+ccw13ceA2EP1J4I/CPxbVb1n3PWMSrIgyQH944fR/Se5fqxF9arqLVW1qKoW0w1H/HNVzYl3dEn27S84oB++eS4wJ66gq6pvAxuSPL5f9Cxg7BdETHIqc2h4qfct4GlJHt7/n30W3fnCOcGA2AlJzgO+DDw+ycYkrxx3TSOOA15K9w544vK+5427qN6jgc8nuYpu3q1LqmpOXU46Rx0EfCnJ14DLgc9V1YVjrmnUa4CP9/+uTwb+dLzl3C/Jw4Hn0L1DnzP6I65PAV8FrqZ7TZ4zU254maskqckjCElSkwEhSWoyICRJTQaEJKnJgJAkNRkQetBIcuf0rcYjycuT/NVc36YeXAwISVKTAaEHnSTPTPKFkc8u+Hh/FytJfj7JZf1nVVyeZL/+8yv+uv8chn9NckLf9uVJ/jbJZ5N8I8kZSX63b/OVJI/s2z0myYX9BHtfTHLkNPUtSPLpJKv7r+OS7NV/FsQBI+3WJjmo1X7AX58eROaPuwBpTJ4C/Czd1Mr/FzguyeXAJ4CTq2p1P4X1XcDrAKrq5/oX94uTPK7fzhP7be0DrAXeXFVPSfJe4DS6mWFXAKdX1f9L8lTg/cAvb6e2/wm8t6q+lORQ4KKqekKSvwN+jW7G1KcC66vqO0nOndweeMKu+TXpwcyA0IPV5VW1EaCfdnwxcBtwU1WtBpiY/TbJ8cBf9suuT/JNYCIgPt9/3sYdSW4DPtsvvxp4Uj+b7i8Cn+wPUgAeOk1tzwaOGmm/fz8H0yeAtwF/TTdP1CemaS/tFANCD1Y/HHn8I7r/C6H9wUVpLGtt596R5/f229wL+F4/tflM7QX8QlXd9YAiki8Dj02yAHgR8M5p2s9il9K2PAch3e964OAkPw/Qn3+YD1wKvLhf9jjgUOCGmWywPwr5RpLf6PsnydHTdLsYOGPiSZIn99squim+30M3S+8t22sv7SwDQupV1d3AycBf9jOmXkJ3buH9wLwkV9MN67y8qn449Za28WLglf02r6X7gJjteS2wJMlVSa4DTh9Z9wngJdw/vDRde2mHOZurJKnJIwhJUpMBIUlqMiAkSU0GhCSpyYCQJDUZEJKkJgNCktT0/wGsY6jCG+zeBAAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Solution\n", "\n", "income = brfss['INCOME2']\n", "\n", "Pmf.from_seq(income).bar()\n", "\n", "plt.xlabel('Income level')\n", "plt.ylabel('PMF')\n", "plt.title('Distribution of income level');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Exercise:** Generate a violin plot that shows the distribution of height in each income group. Can you see a relationship between these variables?" ] }, { "cell_type": "code", "execution_count": 32, "metadata": { "tags": [ "remove-cell" ] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Solution\n", "\n", "data = brfss.dropna(subset=['INCOME2', 'HTM4'])\n", "\n", "sns.violinplot(x='INCOME2', y='HTM4', data=data, inner=None)\n", "\n", "plt.xlabel('Income level')\n", "plt.ylabel('Height in cm')\n", "plt.title('Height versus income');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Quantifying Correlation\n", "\n", "In the previous section, we visualized relationships between pairs of variables. Now we'll learn about the **coefficient of correlation**, which quantifies the strength of these relationships.\n", "\n", "When people say \"correlation\" casually, they might mean any relationship between two variables. In statistics, it usually means Pearson's correlation coefficient, which is a number between `-1` and `1` that quantifies the strength of a linear relationship between variables.\n", "\n", "To demonstrate, we'll select three columns from the BRFSS dataset:" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [], "source": [ "columns = ['HTM4', 'WTKG3', 'AGE']\n", "subset = brfss[columns]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The result is a DataFrame with just those columns.\n", "With this subset of the data, we can use the `corr` method, like this:" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
HTM4WTKG3AGE
HTM41.0000000.474203-0.093684
WTKG30.4742031.0000000.021641
AGE-0.0936840.0216411.000000
\n", "
" ], "text/plain": [ " HTM4 WTKG3 AGE\n", "HTM4 1.000000 0.474203 -0.093684\n", "WTKG3 0.474203 1.000000 0.021641\n", "AGE -0.093684 0.021641 1.000000" ] }, "execution_count": 34, "metadata": {}, "output_type": "execute_result" } ], "source": [ "subset.corr()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The result is a **correlation matrix**. Reading across the first row, the correlation of `HTM4` with itself is `1`. That's expected; the correlation of anything with itself is `1`.\n", "\n", "The next entry is more interesting; the correlation of height and weight is about `0.47`. It's positive, which means taller people are heavier, and it is moderate in strength, which means it has some predictive value, but not much. If you know someone's height, you can make a somewhat better guess about their weight.\n", "\n", "The correlation between height and age is about `-0.09`. It's negative, which means that older people tend to be shorter, but it's weak, which means that knowing someone's age would not help much if you were trying to guess their height." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The correlation between age and weight is even smaller. It is tempting to conclude that there is no relationship between age and weight, but we have already seen that there is. So why is the correlation so low?\n", "Remember that the relationship between weight and age looks like this. " ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "tags": [ "hide-input" ] }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "data = brfss.dropna(subset=['AGE', 'WTKG3'])\n", "sns.boxplot(x='AGE', y='WTKG3', data=data, whis=10)\n", "\n", "plt.xlabel('Age in years')\n", "plt.ylabel('Weight in kg')\n", "plt.title('Weight versus age');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "People in their forties are the heaviest; younger and older people are lighter. So this relationship is nonlinear.\n", "But correlation only measures linear relationships. If the relationship is nonlinear, correlation generally underestimates how strong it is.\n", "\n", "To demonstrate, I'll generate some fake data: `xs` contains equally-spaced points between `-1` and `1`. `ys` is `xs` squared plus some random noise." ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [], "source": [ "xs = np.linspace(-1, 1)\n", "ys = xs**2 + np.random.normal(0, 0.05, len(xs))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here's the scatter plot of `xs` and `ys`. " ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(xs, ys, 'o', alpha=0.5)\n", "plt.xlabel('x')\n", "plt.ylabel('y')\n", "plt.title('Scatter plot of a fake dataset');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It's clear that this is a strong relationship; if you are given `x`, you can make a much better guess about `y`.\n", "But here's the correlation matrix:" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 1. , -0.02804226],\n", " [-0.02804226, 1. ]])" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "np.corrcoef(xs, ys)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Even though there is a strong non-linear relationship, the computed correlation is close to `0`.\n", "\n", "In general, if correlation is high -- that is, close to `1` or `-1` -- you can conclude that there is a strong linear relationship.\n", "But if correlation is close to `0`, that doesn't mean there is no relationship; there might be a non-linear relationship.\n", "\n", "This is one of the reasons I think correlation is not such a great statistic.\n", "There's another reason to be careful with correlation; it doesn't mean what people take it to mean.\n", "Specifically, correlation says nothing about slope. If we say that two variables are correlated, that means we can use one to predict the other. But that might not be what we care about.\n", "\n", "For example, suppose we are concerned about the health effects of weight gain, so we plot weight versus age from 20 to 50 years old.\n", "I'll generate two fake datasets to demonstrate the point.\n", "In each dataset, `xs` represents age and `ys` represents weight." ] }, { "cell_type": "markdown", "metadata": { "tags": [ "remove-cell" ] }, "source": [ "I use `np.random.seed` to initialize the random number generator so we get the same results every time we run." ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "tags": [ "hide-input" ] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "np.random.seed(18)\n", "xs1 = np.linspace(20, 50)\n", "ys1 = 75 + 0.02 * xs1 + np.random.normal(0, 0.15, len(xs1))\n", "\n", "plt.plot(xs1, ys1, 'o', alpha=0.5)\n", "plt.xlabel('Age in years')\n", "plt.ylabel('Weight in kg')\n", "plt.title('Fake dataset #1');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And here's the second dataset:" ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "tags": [ "hide-input" ] }, "outputs": [ { "data": { "image/png": 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yC8esuKrch1FUWTepjGe0VhX6ezxz18wKKY8mlfGM1qrC9QYyS/ySFkpaU3N7TNIZNc+/X1JImplVDGZWXnkMod2wuZ9dpgxt+Bit9l6F/p7MEn9E3BURiyNiMXAQ8ARwNYCkPYFjgN9ndXwzK7fxJOWxGk/tvQpzVppZsuGTEfGh0baN4mjg3ohYnz7+HPBB0gu4m5kNl8cQ2vHOOC97f08zNf5j6mw7dozHOQW4FEDSccCGiPhVox0krZDUI6mnt7d3jIczs7LLo0mlCrX38dBIS/BIejvwDmAf4N6ap3YBfhoRpzZ1AGkn4EFgf2AL8BPgVRHRJ+l+YElEPNLoPZYsWRI9PT3NHM7MKqTsE6XaTdLtEbFk+PZGTT3fBH4A/CtwVs32LRHx6BiOfSywOiI2SXoRsAD4lSSAecBqSQdHxENjeE8z6wBlb1Ipqkbj+PuAPmC5pB2B2enrd5a0c0Q02zG7nLSZJyLuAHYffKLZGr+ZmbVOM5277yJZr2cT8HS6OYAXN7HvVJI+greNP0QzM2ulZhZpOwNYGBF/HOubR8QTwIwGz88f63uamdnENDOq5wGSJh8zM6uARou0vTe9+zvgRknfY+h6/J/NODYzs0oo2uikRk09g4uz/T697ZTezAqnaH9YZeTPMBtFvGxno1E9H8szELPxKuIfVtn4M8xOEZdxbmZUz3cYuh4/JG3+PcCXImJrFoGZNauIf1hl488wO0VcxrmZzt3fAY8DX05vj5EM7dw3fWzWVnks5lV1/gyzU8RlnJsZznlARBxR8/g7km6OiCMk3ZlVYGbNKuP1cIvWnl7Gz7AsxrsQXJaaqfHPkrTX4IP0/uAa+k9mEpXZGJRtffQiXrO1bJ9hmRRxIbhmavzvA26RdC/J9XYXAO+QNA24OMvgzJpRtuvhFrE9vWyfYdkUbc2hURN/RHxf0guAvyZJ/L+t6dA9P8PYzJpWtD+sRorY2Qfl+gxtYhpN4DoqIn4s6cRhT+0jiYi4KuPYKqdo7bp56uSyD+f2dGu3RjX+lwM/Bl5b57kAnPjHIK9x0kVMsI3KDhQu3qwVsbPPOsuIF2IpkipciOVzN9z9rFre4OMzj9m3JceoTbC1CaXdHUkjlf3JbU/RP/B04eLNQxH/QVv1jOdCLIM7zgY+AewREcdKeiHw0oi4MIM4KyuPdt0idhrCyGX/4bo/8pIFMwoXbx7cnm7t1Mxwzq8B1wF7pI/vJlmq2cYgj0kcRZ2EM1LZhQoZr1nVNZP4Z0bEZaQXYYmIbcBTmUZVQXmMky7iDEEYuewH7NldyHjNqq6ZxP9nSTNI1+uRdAhen3/M8pjEUdRJOCOV/dSX7l3IeM2qbtTOXUkHAZ8HFgFrgVnASRHx6+zDS1ShczcvZes0LFu8ZmUy5s5dSWcAPwV+STK0cyHJBK67ImIgozhtgsbTadjO5OtOTrP8NWrqmQdcADwM/BB4I7A3z1ygxSqgiOvGmFm2Rkz8EfH+iDgUeB7wYeBR4C3AWkm/ySk+y1jtENAdpO33V63d1O7QzCwjzSzS1gXsCnSntweBO0bbSdJC4Fs1m/YBPgLMJZkN/CRwL/DmiNg8pqitZYq6boyZZadRG/9KYH9gC/Bz4L+Bz0bEn5p544i4C1icvteOwAbgapK+grMjYpukTwJnAx+aQBlsArxujFnnadTGvxfwHOAhkqT9B2DzOI9zNHBvRKyPiOvTuQAAt5L0JVibFHUIqJllp1Eb/zJgKXBeuul9wC8kXS9prBdiPwW4tM72twA/qLeDpBWSeiT19Pb2jvFw1qwiXiTCzLLV1CJtkuYBhwGHAq8BZkTE9KYOIO1E0i+wf0Rsqtn+v4AlwIkxShAex29mNnbjGcf/HpJEfxgwQDKm/2fARTTRuVvjWGD1sKR/Gsk/kKNHS/pmVlyegFdOjUb1zAeuAM6MiI0TOMZyapp5JC0j6cx9eUQ8MYH3tTHwH6i1Wl7XmLDWa9TG/96IuGIiSV/SVOAYhl605Qskk8BukLRG0n+O9/2tOZ6kZVnwHJDyamYc/7ilNfoZw7Y9P8tjFkHRatdFXaffys1zQMqrmdU5bQyKWLsu6jr9Vm5FXQbcRufE32JF/PrrP1DLgueAlJcTf4sVsXbtP1DLgueAlFembfydqIhLIAz+gdb2O5y8dJ7/QG3CvKx2OTnxt9iyRbNZefN9QFLT37J1G339A5y8tL0rU/gP1MwGOfG32Hhr10UbCWRm1eXEn4Gx1q49EcbM8uTO3QIo4kggM6su1/gnoFXNM54IY2Z5co1/nFo5Ucvj7M0sT07849TK5hmPszezPDnxj1MrJ2p5IoyZ5clt/OPU6olaHmdvZnlxjX+c3DxjZmXlGv84eRmE9ijiRLcixtRI2eK11mvqmrvt5mvuGgyd6Fa7HEY7+0OKGFMjZYvXJmaka+66qcdKo4gT3YoYUyNli9ey4cRvpVHEJa+LGFMjZYvXsuHEb6VRxIluRYypkbLFa9lw4rfSKOJIqiLG1EjZ4rVsZJb4JS2UtKbm9pikMyQ9V9INku5Jf+6WVQxWLUWc6FbEmBopW7yWjVxG9UjaEdgAvAR4J/BoRJwr6Sxgt4j4UKP9ParHzGzsRhrVk9c4/qOBeyNivaTjgSPT7RcDNwINE7/ZRHjcutlQeSX+U4BL0/uzI2IjQERslLR7TjGMmxNHefkiN5ansuSKzDt3Je0EHAdcPsb9VkjqkdTT29ubTXBNaOXyy5Y/j1u3vJQpV+QxqudYYHVEDP6lbZI0ByD9+XC9nSJiZUQsiYgls2bNyiHM+pw4ys3j1i0vZcoVeST+5TzTzAPwbeC09P5pwLU5xDBuThzl5nHrlpcy5YpME7+kqcAxwFU1m88FjpF0T/rcuVnGMFFOHOXmceuWlzLlikwTf0Q8EREzIqKvZtsfI+LoiHhB+vPRLGOYKCeOcvO4dctLmXKFV+dsQll66s2svYqWK9o9jr/UfHUsM2tGWXKF1+oxM+swla3xF+0rl5lZUVSyxl+miRRmZnmrZOIv00QKM7O8VTLxl2kihZlZ3irZxj93ehd9/QN0d03evq2oEylG474KM2u1Stb4yzSRohH3VZhZFipZ4x+crVlbUz556bxRa8pFq13X9lUA23+uWrvJtX4zG7dKJn4Y+0SKIq7bvmFzP3O6pwzZ5r6K7BWtAmDWapVs6hmPIo4EKtOiT1Xh5jXrBE78qSKOBKpKX0WZFLECYNZqTvypItauvbJk/opYATBrtcq28Y/VskWzWXnzfUDyh75l6zb6+gc4eem8tsZVlkWfqqJKQ4HNRuLEnxrvSCCrlqJWAKrOHer58nr8ZsM4CeWrdkRd7T9bN2tOnNfjN2uSm9fy5fkq+XPit47lmn0xeL5K/pz4S8pJa2LymrDn8zQ6d6jnz8M5S8iTjCYuj/H6Pk/N8XyV/GWa+CVNl3SFpN9KWifppZIWS7pV0hpJPZIOzjKGKvIko4nLY7y+z1NzPF8lf1k39VwArIqIkyTtBEwFLgM+FhE/kPRq4FPAkRnHUSluE524PJoXfJ6a5w71fGVW45e0K3AEcCFARDwZEZuBAHZNX9YNPJhVDFVVxFnGZZNH84LPkxVVlk09+wC9wFcl/VLSVyRNA84APi3pAeA84Ox6O0takTYF9fT29mYYZvm4TXTi8mhe8HmyospsApekJcCtwGER8XNJFwCPkdTyb4qIKyW9AVgREa9s9F6ewPVs7Rwt4pEqzfNnZe000gSuLBP/84BbI2J++vhlwFnA4cD0iAhJAvoiYteR38mJv0g8y9KsPEZK/Jk19UTEQ8ADkhamm44GfkPSpv/ydNtRwD1ZxWCt55EqZuWX9aiedwPfSEf0/A54M3AtcIGkScBWYEXGMVgLeaSKWfllmvgjYg0w/GvGLcBBWR7XsuNZlmbl55m7NiYeqWJWfk78NiaeZWlWfl6kzUY00lBEz7I0KzfX+K0uLzBmVl1O/FaXh22aVZcTv9WVx+qVZtYeTvxWlxcYM6suJ36ry8M2zarLid/q8rBNs+rycE4bkYdtmlWTa/xmZh3Gid/MrMM48ZuZdRgnfjOzDuPEb2bWYTK79GIrSeoF1o9z95nAIy0Mp51cluKpSjnAZSmqiZRl74iYNXxjKRL/REjqqXfNyTJyWYqnKuUAl6WosiiLm3rMzDqME7+ZWYfphMS/st0BtJDLUjxVKQe4LEXV8rJUvo3fzMyG6oQav5mZ1XDiNzPrMJVK/JL2lPQTSesk3Snpn9Ptz5V0g6R70p+7tTvWRhqU4xxJGyStSW+vbneso5E0RdJtkn6VluVj6fZSnRNoWJbSnRcASTtK+qWk76aPS3dOBtUpS1nPyf2S7khj7km3tfy8VKqNX9IcYE5ErJa0C3A7cALwJuDRiDhX0lnAbhHxofZF2liDcrwBeDwizmtnfGMhScC0iHhc0mTgFuCfgRMp0TmBhmVZRsnOC4Ck9wJLgF0j4jWSPkXJzsmgOmU5h3Kek/uBJRHxSM22lp+XStX4I2JjRKxO728B1gFzgeOBi9OXXUySRAurQTlKJxKPpw8np7egZOcEGpaldCTNA/4H8JWazaU7JzBiWaqk5eelUom/lqT5wAHAz4HZEbERkqQK7N7G0MZkWDkA3iXp15IuKstX8fRr+BrgYeCGiCjtORmhLFC+83I+8EHg6ZptpTwn1C8LlO+cQFKRuF7S7ZJWpNtafl4qmfgl7QxcCZwREY+1O57xqlOO/wD+ClgMbAQ+077omhcRT0XEYmAecLCkRW0OadxGKEupzouk1wAPR8Tt7Y5lohqUpVTnpMZhEXEgcCzwTklHZHGQyiX+tO31SuAbEXFVunlT2m4+2H7+cLvia1a9ckTEpjTxPA18GTi4nTGOVURsBm4kaRMv3TmpVVuWEp6Xw4Dj0vbk/wccJenrlPOc1C1LCc8JABHxYPrzYeBqkrhbfl4qlfjTzrcLgXUR8dmap74NnJbePw24Nu/YxmKkcgye/NTrgLV5xzZWkmZJmp7e7wJeCfyWkp0TGLksZTsvEXF2RMyLiPnAKcCPI+JUSnhORipL2c4JgKRp6WAOJE0DXkUSd8vPS9Uutn4Y8A/AHWk7LMCHgXOByySdDvweeH17wmvaSOVYLmkxSTvg/cDb2hHcGM0BLpa0I0lF47KI+K6kn1GucwIjl+WSEp6Xesr2d9LIp0p4TmYDVyf1PiYB34yIVZJ+QYvPS6WGc5qZ2egq1dRjZmajc+I3M+swTvxmZh3Gid/MrMM48ZuZdRgnfqsMSa+TFJL+uoXv+T8l/WOr3s+sCDyc0ypD0mUkY+1/FBHntDmclkkn9CmdhWo2Ya7xWyWk6xodBpxOMoNzcPsOkr6oZP3870r6vqST0ucOknRTuiDWdcNmew7uf46k96f3b5T0SSVr8t8t6WV1Xn+JpONrHn9D0nHp4m6flvSLdOGwtw3GLelHklYrWYf9+HT7fCXXY/gisBrYU9LXJK1NX3dmSz9A6yhO/FYVJwCrIuJu4FFJB6bbTwTmAy8C3gq8FLavhfRvwEkRcRBwEfDxJo4zKSIOBs4APlrn+a8Ab06P0Q0cCnyf5B9SX0QsBZYC/yRpAbAVeF26MNcrgM+kNXyAhcB/RcQBwExgbkQsiogXAV9t5kMxq6dqSzZY51pOsjwvJIt1LSepKR8OXJ42kzwk6SfpaxYCi4Ab0jy7I8kqjqMZXPjvdpJ/KENExE2S/l3S7iT/dK6MiG2SXgW8ePDbBtANvAD4A/CJdBXGp0muuzA7fc36iLg1vf87YB9J/wZ8D7i+iVjN6nLit9KTNAM4ClgkKUiSeEj6IKCRdgPujIiXjvFwf0l/PsXIfz+XAG8kaXJ6S83x3h0R1w2L/U3ALOCgiBhIV5mckj7958HXRcSfJP0N8LfAO0muxvYWzMbBTT1WBSeRNInsHRHzI2JP4D6S2v4twN+lbf2zgSPTfe4CZkna3vQjaf8WxfM1kqYgIuLOdNt1wNvTJiYk7ZuuwNhNsp78gKRXAHvXe0NJM4EdIuJK4H8DB9Z7nVkzXOO3KlhOsrJkrSuBvyepHR9Nsrzt3SRXMuuLiCfTZpfPp23xk0iaiu5kgiJik6R1wDU1m79C0jS0Om3D7yXpl/gG8B0lF9ZeQ7JkdT1zga9KGqysnT3ROK1zeTinVZ6kndMLpM8AbiO5ytFDGR5vKnAHcGBE9GV1HLPxco3fOsF30wuo7AT834yT/itJRgh91knfiso1fjOzDuPOXTOzDuPEb2bWYZz4zcw6jBO/mVmHceI3M+sw/x9vKW4zbEN8AAAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "np.random.seed(18)\n", "xs2 = np.linspace(20, 50)\n", "ys2 = 65 + 0.2 * xs2 + np.random.normal(0, 3, len(xs2))\n", "\n", "plt.plot(xs2, ys2, 'o', alpha=0.5)\n", "plt.xlabel('Age in years')\n", "plt.ylabel('Weight in kg')\n", "plt.title('Fake dataset #2');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "I constructed these examples so they look similar, but they have substantially different correlations: " ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.7579660563439401" ] }, "execution_count": 41, "metadata": {}, "output_type": "execute_result" } ], "source": [ "rho1 = np.corrcoef(xs1, ys1)[0][1]\n", "rho1" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.4782776976576317" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" } ], "source": [ "rho2 = np.corrcoef(xs2, ys2)[0][1]\n", "rho2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the first example, the correlation is strong, close to `0.75`.\n", "In the second example, the correlation is moderate, close to `0.5`.\n", "So we might think the first relationship is more important. But look more closely at the `y` axis in both figures.\n", "\n", "In the first example, the average weight gain over 30 years is less than 1 kilogram; in the second it is more than 5 kilograms!\n", "If we are concerned about the health effects of weight gain, the second relationship is probably more important, even though the correlation is lower. \n", "The statistic we really care about is the slope of the line, not the coefficient of correlation.\n", "\n", "In the next section, we'll see how to estimate that slope. But first, let's practice with correlation." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Exercise:** The purpose of the BRFSS is to explore health risk factors, so it includes questions about diet. The column `_VEGESU1` represents the number of servings of vegetables respondents reported eating per day.\n", "\n", "Let's see how this variable relates to age and income.\n", "\n", "- From the `brfss` DataFrame, select the columns `'AGE'`, `INCOME2`, and `_VEGESU1`.\n", "- Compute the correlation matrix for these variables." ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "tags": [ "remove-cell" ] }, "outputs": [ { "data": { "text/html": [ "
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AGEINCOME2_VEGESU1
AGE1.000000-0.015158-0.009834
INCOME2-0.0151581.0000000.119670
_VEGESU1-0.0098340.1196701.000000
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" ], "text/plain": [ " AGE INCOME2 _VEGESU1\n", "AGE 1.000000 -0.015158 -0.009834\n", "INCOME2 -0.015158 1.000000 0.119670\n", "_VEGESU1 -0.009834 0.119670 1.000000" ] }, "execution_count": 43, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Solution\n", "\n", "columns = ['AGE', 'INCOME2', '_VEGESU1']\n", "subset = brfss[columns]\n", "subset.corr()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Exercise:** In the previous exercise, the correlation between income and vegetable consumption is about `0.12`. The correlation between age and vegetable consumption is about `-0.01`.\n", "\n", "Which of the following are correct interpretations of these results?\n", "\n", "- *A*: People in this dataset with higher incomes eat more vegetables.\n", "- *B*: The relationship between income and vegetable consumption is linear.\n", "- *C*: Older people eat more vegetables.\n", "- *D*: There could be a strong non-linear relationship between age and vegetable consumption." ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "tags": [ "remove-cell" ] }, "outputs": [], "source": [ "# Solution\n", "\n", "# A is a valid interpretation\n", "# With correlation alone, we can't tell whether B is true.\n", "# C is incorrect: the correlation between age and vegetables \n", "# is very small, and negative.\n", "# D is true; there could be a non-linear relationship." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Exercise:** In general it is a good idea to visualize the relationship between variables *before* you compute a correlation. We didn't do that in the previous example, but it's not too late.\n", "\n", "Generate a visualization of the relationship between age and vegetables. How would you describe the relationship, if any?" ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "tags": [ "remove-cell" ] }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Solution\n", "\n", "# It looks like there is a nonlinear relationship.\n", "# People in their twenties and thirties eat the most vegetables\n", "# (maybe because they are raising children).\n", "# Older and younger people eat fewer vegetables.\n", "\n", "sns.boxplot(x='AGE', y='_VEGESU1', data=data, whis=10)\n", "plt.yscale('log')\n", "plt.xlabel('Age in years')\n", "plt.ylabel('Number of servings of vegetables')\n", "plt.title('Vegetable servings versus age');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Simple Linear Regression\n", "\n", "In the previous section we saw that correlation does not always measure what we really want to know. In this section, we look at an alternative: simple linear regression.\n", "\n", "Let's look again at the relationship between weight and age. In the previous section, I generated two fake datasets to make a point:" ] }, { "cell_type": "code", "execution_count": 46, "metadata": { "tags": [ "hide-input" ] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 3))\n", "\n", "plt.subplot(1, 2, 1)\n", "plt.plot(xs1, ys1, 'o', alpha=0.5)\n", "plt.xlabel('Age in years')\n", "plt.ylabel('Weight in kg')\n", "plt.title('Fake dataset #1')\n", "plt.tight_layout()\n", "\n", "plt.subplot(1, 2, 2)\n", "plt.plot(xs2, ys2, 'o', alpha=0.5)\n", "plt.xlabel('Age in years')\n", "plt.ylabel('Weight in kg')\n", "plt.title('Fake dataset #2')\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The one on the left has higher correlation, about 0.75 compared to 0.5.\n", "But in this context, the statistic we probably care about is the slope of the line, not the correlation coefficient.\n", "To estimate the slope, we can use `linregress` from the SciPy `stats` library." ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'slope': 0.018821034903244386,\n", " 'intercept': 75.08049023710964,\n", " 'rvalue': 0.7579660563439402,\n", " 'pvalue': 1.8470158725246148e-10,\n", " 'stderr': 0.002337849260560818,\n", " 'intercept_stderr': 0.08439154079040358}" ] }, "execution_count": 47, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from scipy.stats import linregress\n", "\n", "res1 = linregress(xs1, ys1)\n", "res1._asdict()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The result is a `LinregressResult` object that contains five values: `slope` is the slope of the line of best fit for the data; `intercept` is the intercept. We'll interpret some of the other values later.\n", "\n", "For Fake Dataset #1, the estimated slope is about 0.019 kilograms per year or about 0.56 kilograms over the 30-year range." ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.5646310470973316" ] }, "execution_count": 48, "metadata": {}, "output_type": "execute_result" } ], "source": [ "res1.slope * 30" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here are the results for Fake Dataset #2. " ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'slope': 0.17642069806488855,\n", " 'intercept': 66.60980474219305,\n", " 'rvalue': 0.47827769765763173,\n", " 'pvalue': 0.0004430600283776241,\n", " 'stderr': 0.04675698521121631,\n", " 'intercept_stderr': 1.6878308158080697}" ] }, "execution_count": 49, "metadata": {}, "output_type": "execute_result" } ], "source": [ "res2 = linregress(xs2, ys2)\n", "res2._asdict()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The estimated slope is almost 10 times higher: about 0.18 kilograms per year or about 5.3 kilograms per 30 years:" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "5.292620941946657" ] }, "execution_count": 50, "metadata": {}, "output_type": "execute_result" } ], "source": [ "res2.slope * 30" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What's called `rvalue` here is correlation, which confirms what we saw before; the first example has higher correlation, about 0.75 compared to 0.5.\n", "But the strength of the effect, as measured by the slope of the line, is about 10 times higher in the second example.\n", "\n", "We can use the results from `linregress` to compute the line of best fit: first we get the minimum and maximum of the observed `xs`; then we multiply by the slope and add the intercept.\n", "Here's what that looks like for the first example. " ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(xs1, ys1, 'o', alpha=0.5)\n", "\n", "fx = np.array([xs1.min(), xs1.max()])\n", "fy = res1.intercept + res1.slope * fx\n", "plt.plot(fx, fy, '-')\n", "\n", "plt.xlabel('Age in years')\n", "plt.ylabel('Weight in kg')\n", "plt.title('Fake Dataset #1');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And here's what it looks like for the second example. " ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(xs2, ys2, 'o', alpha=0.5)\n", "\n", "fx = np.array([xs2.min(), xs2.max()])\n", "fy = res2.intercept + res2.slope * fx\n", "plt.plot(fx, fy, '-')\n", "\n", "plt.xlabel('Age in years')\n", "plt.ylabel('Weight in kg')\n", "plt.title('Fake Dataset #2');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The visualization here might be misleading unless you look closely at the vertical scales; the slope in the second figure is almost 10 times higher." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Regression of Height and Weight\n", "\n", "Now let's look at an example of regression with real data.\n", "Here's the scatter plot of height and weight one more time." ] }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(height_jitter, weight_jitter, 'o', \n", " alpha=0.02, markersize=1)\n", "\n", "plt.xlim([140, 200])\n", "plt.ylim([0, 160])\n", "plt.xlabel('Height in cm')\n", "plt.ylabel('Weight in kg')\n", "plt.title('Scatter plot of weight versus height');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To compute the regression line, we'll use `linregress` again.\n", "But it can't handle `NaN` values, so we have to use `dropna` to remove rows that are missing the data we need." ] }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [], "source": [ "subset = brfss.dropna(subset=['WTKG3', 'HTM4'])\n", "height_clean = subset['HTM4']\n", "weight_clean = subset['WTKG3']" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can compute the linear regression." ] }, { "cell_type": "code", "execution_count": 55, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'slope': 0.9192115381848297,\n", " 'intercept': -75.12704250330233,\n", " 'rvalue': 0.47420308979024584,\n", " 'pvalue': 0.0,\n", " 'stderr': 0.005632863769802998,\n", " 'intercept_stderr': 0.9608860265433182}" ] }, "execution_count": 55, "metadata": {}, "output_type": "execute_result" } ], "source": [ "res_hw = linregress(height_clean, weight_clean)\n", "res_hw._asdict()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The slope is about 0.92 kilograms per centimeter, which means that we expect a person one centimeter taller to be almost a kilogram heavier. That's quite a lot.\n", "\n", "As before, we can compute the line of best fit:" ] }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [], "source": [ "fx = np.array([height_clean.min(), height_clean.max()])\n", "fy = res_hw.intercept + res_hw.slope * fx" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And here's what that looks like. " ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(height_jitter, weight_jitter, 'o', alpha=0.02, markersize=1)\n", "\n", "plt.plot(fx, fy, '-')\n", "\n", "plt.xlim([140, 200])\n", "plt.ylim([0, 160])\n", "plt.xlabel('Height in cm')\n", "plt.ylabel('Weight in kg')\n", "plt.title('Scatter plot of weight versus height');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The slope of this line seems consistent with the scatter plot.\n", "\n", "Linear regression has the same problem as correlation; it only measures the strength of a linear relationship.\n", "Here's the scatter plot of weight versus age, which we saw earlier." ] }, { "cell_type": "code", "execution_count": 58, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(age_jitter, weight_jitter, 'o', \n", " alpha=0.01, markersize=1)\n", "\n", "plt.ylim([0, 160])\n", "plt.xlabel('Age in years')\n", "plt.ylabel('Weight in kg')\n", "plt.title('Weight versus age');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "People in their 40s are the heaviest; younger and older people are lighter. So the relationship is nonlinear.\n", "\n", "If we don't look at the scatter plot and blindly compute the regression line, here's what we get." ] }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'slope': 0.023981159566968724,\n", " 'intercept': 80.07977583683224,\n", " 'rvalue': 0.021641432889064068,\n", " 'pvalue': 4.374327493007566e-11,\n", " 'stderr': 0.003638139410742186,\n", " 'intercept_stderr': 0.18688508176870167}" ] }, "execution_count": 59, "metadata": {}, "output_type": "execute_result" } ], "source": [ "subset = brfss.dropna(subset=['WTKG3', 'AGE'])\n", "age_clean = subset['AGE']\n", "weight_clean = subset['WTKG3']\n", "\n", "res_aw = linregress(age_clean, weight_clean)\n", "res_aw._asdict()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The estimated slope is only 0.02 kilograms per year, or 0.6 kilograms in 30 years.\n", "And here's what the line of best fit looks like." ] }, { "cell_type": "code", "execution_count": 60, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(age_jitter, weight_jitter, 'o', \n", " alpha=0.01, markersize=1)\n", "\n", "fx = np.array([age_clean.min(), age_clean.max()])\n", "fy = res_aw.intercept + res_aw.slope * fx\n", "plt.plot(fx, fy, '-')\n", "\n", "plt.ylim([0, 160])\n", "plt.xlabel('Age in years')\n", "plt.ylabel('Weight in kg')\n", "plt.title('Weight versus age');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A straight line does not capture the relationship between these variables well.\n", "\n", "In the next chapter, you'll see how to use multiple regression to estimate non-linear relationships. But first, let's practice simple regression." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Exercise:** Who do you think eats more vegetables, people with low income, or people with high income? Let's find out.\n", "\n", "As we've seen previously, the column `INCOME2` represents income level and `_VEGESU1` represents the number of vegetable servings respondents reported eating per day.\n", "\n", "Make a scatter plot with vegetable servings versus income, that is, with vegetable servings on the `y` axis and income group on the `x` axis.\n", "\n", "You might want to use `ylim` to zoom in on the bottom half of the `y` axis." ] }, { "cell_type": "code", "execution_count": 61, "metadata": { "tags": [ "remove-cell" ] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Solution\n", "\n", "income = brfss['INCOME2']\n", "noise = np.random.normal(0, 0.2, len(income))\n", "income_jitter = income + noise\n", "\n", "veggies = brfss['_VEGESU1']\n", "noise = np.random.normal(0, 0.2, len(veggies))\n", "veggies_jitter = veggies + noise\n", "\n", "# Make a scatter plot\n", "plt.plot(income_jitter, veggies_jitter, 'o', \n", " alpha=0.02, markersize=1)\n", "\n", "plt.ylim([0, 6])\n", "plt.xlabel('Income level')\n", "plt.ylabel('Vegetable servings')\n", "plt.title('Vegetable servings versus income level');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Exercise:** Now let's estimate the slope of the relationship between vegetable consumption and income.\n", "\n", "- Use `dropna` to select rows where `INCOME2` and `_VEGESU1` are not `NaN`.\n", "\n", "- Extract `INCOME2` and `_VEGESU1` and compute the simple linear regression of these variables.\n", "\n", "What is the slope of the regression line? What does this slope means in the context of the question we are exploring?" ] }, { "cell_type": "code", "execution_count": 62, "metadata": { "tags": [ "remove-cell" ] }, "outputs": [], "source": [ "# Solution\n", "\n", "subset = brfss.dropna(subset=['INCOME2', '_VEGESU1'])\n", "income_clean = subset['INCOME2']\n", "veggies_clean = subset['_VEGESU1']" ] }, { "cell_type": "code", "execution_count": 63, "metadata": { "tags": [ "remove-cell" ] }, "outputs": [ { "data": { "text/plain": [ "{'slope': 0.06988048092105006,\n", " 'intercept': 1.5287786243363113,\n", " 'rvalue': 0.11967005884864092,\n", " 'pvalue': 1.378503916249654e-238,\n", " 'stderr': 0.0021109763563323305,\n", " 'intercept_stderr': 0.013196467544093591}" ] }, "execution_count": 63, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Solution\n", "\n", "res_iv = linregress(income_clean, veggies_clean)\n", "res_iv._asdict()" ] }, { "cell_type": "code", "execution_count": 64, "metadata": { "tags": [ "remove-cell" ] }, "outputs": [], "source": [ "# Solution\n", "\n", "# The estimated slope is 0.07, which means that\n", "# people in higher income groups eat slightly more vegetables\n", "# on average. Between the lowest and the highest income group\n", "# the difference is about half a vegetable serving per day." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Exercise:** Finally, plot the regression line on top of the scatter plot.\n" ] }, { "cell_type": "code", "execution_count": 65, "metadata": { "tags": [ "remove-cell" ] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Solution\n", "\n", "plt.plot(income_jitter, veggies_jitter, 'o', \n", " alpha=0.02, markersize=1)\n", "\n", "fx1 = np.array([income.min(), income.max()])\n", "fy1 = res_iv.intercept + res_iv.slope * fx1\n", "plt.plot(fx1, fy1, '-', alpha=0.7, color='C1')\n", "\n", "plt.ylim([0, 6])\n", "plt.xlabel('Income level')\n", "plt.ylabel('Vegetable servings per day')\n", "plt.title('Vegetable servings versus income level')\n", "\n", "plt.savefig('fig09-01.png')\n", "plt.savefig('fig09-01.pdf')" ] }, { "cell_type": "code", "execution_count": 66, "metadata": { "tags": [ "remove-cell" ] }, "outputs": [ { "data": { "text/plain": [ "{'slope': 0.2049345224314748,\n", " 'intercept': 5.450700189148757,\n", " 'rvalue': 0.11967005884864092,\n", " 'pvalue': 1.378503916249654e-238,\n", " 'stderr': 0.0061907406152207165,\n", " 'intercept_stderr': 0.014410966163933092}" ] }, "execution_count": 66, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Solution\n", "\n", "res_vi = linregress(veggies_clean, income_clean)\n", "res_vi._asdict()" ] }, { "cell_type": "code", "execution_count": 67, "metadata": { "tags": [ "remove-cell" ] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Solution\n", "\n", "plt.plot(veggies_jitter, income_jitter, 'o', \n", " alpha=0.02, markersize=1)\n", "\n", "# Plot the line of best fit\n", "fx2 = np.array([veggies.min(), veggies.max()])\n", "fy2 = res_vi.intercept + res_vi.slope * fx2\n", "plt.plot(fx2, fy2, '--', alpha=0.7, color='C2')\n", "\n", "plt.xlim([0, 6])\n", "plt.ylabel('Income level')\n", "plt.xlabel('Vegetable servings per day')\n", "plt.title('Income level versus vegetable servings')\n", "\n", "plt.savefig('fig09-02.png')\n", "plt.savefig('fig09-02.pdf')" ] }, { "cell_type": "code", "execution_count": 68, "metadata": { "tags": [ "remove-cell" ] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Solution\n", "\n", "plt.figure(figsize=(8, 3))\n", "\n", "plt.subplot(1, 2, 1)\n", "\n", "# Plot the scatter plot\n", "plt.plot(income_jitter, veggies_jitter, 'o', \n", " alpha=0.02, markersize=1)\n", "\n", "# Plot the line of best fit\n", "plt.plot(fx1, fy1, '-', alpha=0.7, color='C1')\n", "plt.plot(fy2, fx2, '--', alpha=0.7, color='C2')\n", "\n", "plt.ylim([0, 6])\n", "plt.xlabel('Income level')\n", "plt.ylabel('Vegetable servings per day')\n", "plt.title('Vegetable servings vs income level')\n", "plt.tight_layout()\n", "\n", "plt.subplot(1, 2, 2)\n", "\n", "# Plot the scatter plot\n", "plt.plot(veggies_jitter, income_jitter, 'o', \n", " alpha=0.02, markersize=1)\n", "\n", "# Plot the line of best fit\n", "plt.plot(fx2, fy2, '--', alpha=0.7, color='C2')\n", "plt.plot(fy1, fx1, '-', alpha=0.7, color='C1')\n", "\n", "plt.xlim([0, 6])\n", "plt.ylabel('Income level')\n", "plt.xlabel('Vegetable servings per day')\n", "plt.title('Income level vs vegetable servings')\n", "plt.tight_layout()\n", "\n", "plt.savefig('fig09-03.png')\n", "plt.savefig('fig09-03.pdf')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Summary\n", "\n", "This chapter presents three ways to visualize the relationship between two variables: a scatter plot, violin plot, and box plot.\n", "A scatter plot is often a good choice when you are exploring a new data set, but it can take some attention to avoid overplotting.\n", "Violin and box plot are particularly useful when one of the variables only takes on a few discrete values.\n", "\n", "And we considered two ways to quantify the strength of a relationship: the coefficient of correlation and the slope of a regression line.\n", "These statistics capture different aspect of what we might mean by \"strength\".\n", "The coefficient of correlation indicates how well we can predict one variable, given the other.\n", "The slope of the regression line indicates how much difference we expect in one variable as we vary the other.\n", "One or the other might be more relevant, depending on the context." ] }, { "cell_type": "markdown", "metadata": { "tags": [ "remove-cell" ] }, "source": [ "*Elements of Data Science*\n", "\n", "Copyright 2021 [Allen B. Downey](https://allendowney.com)\n", "\n", "License: [Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International](https://creativecommons.org/licenses/by-nc-sa/4.0/)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "celltoolbar": "Tags", "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.7.7" } }, "nbformat": 4, "nbformat_minor": 2 }