Skip to content

Instantly share code, notes, and snippets.

Show Gist options
  • Save kforeman/42621eef5f92c5fe7f70c28bb72aa3a4 to your computer and use it in GitHub Desktop.
Save kforeman/42621eef5f92c5fe7f70c28bb72aa3a4 to your computer and use it in GitHub Desktop.
20170202 Joint regression plot example.ipynb
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import seaborn as sns\n",
"import numpy as np\n",
"import pandas as pd"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"rs = np.random.RandomState(5)\n",
"mean = [0, 0]\n",
"cov = [(1, .5), (.5, 1)]\n",
"x1, x2 = rs.multivariate_normal(mean, cov, 500).T\n",
"x1 = pd.Series(x1, name=\"$X_1$\")\n",
"x2 = pd.Series(x2, name=\"$X_2$\")"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x11b312828>"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAqYAAAKrCAYAAAAj5U9BAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nGEyJiIiIKBYYTImIiIgoFv4/E2I0cHMuAg0AAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11b301c50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Show the joint distribution using kernel density estimation\n",
"sns.set(style='ticks')\n",
"g = sns.jointplot(x1, x2, kind='hex', size=7, space=0)\n",
"sns.regplot(x1, x2, ax=g.ax_joint, scatter=False, color='red')"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python [conda root]",
"language": "python",
"name": "conda-root-py"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.2"
}
},
"nbformat": 4,
"nbformat_minor": 1
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment