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@NaimKabir
Created November 15, 2020 18:44
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## True Correlation Between Split Ticket Votes & Straight Ticket\n",
"\n",
"While we're here, may as well demonstrate the actual correlation between the % of split-ticket votes for Trump and the % of straight-ticket Republican votes."
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"LinregressResult(slope=0.5985107836180562, intercept=0.11211390676525906, rvalue=0.9003374902755328, pvalue=3.0993297588564935e-184, stderr=0.01288643105960907)\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from scipy.stats import linregress\n",
"import numpy as np\n",
"\n",
"linear_regression = linregress(\n",
" straight_ticket_data[\"%_republican\"], split_ticket_data[\"%_trump\"]\n",
")\n",
"print(linear_regression)\n",
"\n",
"# plot the trendline\n",
"lin_x = np.linspace(\n",
" min(straight_ticket_data[\"%_republican\"]),\n",
" max(straight_ticket_data[\"%_republican\"]),\n",
" 1000,\n",
")\n",
"y_hat = lin_x * linear_regression.slope + linear_regression.intercept\n",
"ax = plt.plot(lin_x, y_hat, color=\"k\", linestyle=\"--\", linewidth=4)\n",
"\n",
"plt.annotate(\n",
" f\"y = {round(linear_regression.slope, 2)}*x + {round(linear_regression.intercept, 2)}\",\n",
" xy=(150, 100),\n",
" xycoords=\"figure points\",\n",
" fontsize= 16\n",
")\n",
"\n",
"# plot scatter plot\n",
"plt.scatter(straight_ticket_data[\"%_republican\"], split_ticket_data[\"%_trump\"], alpha=0.4)\n",
"plt.xlabel(\"% straight ticket republicans\")\n",
"plt.ylabel(\"% individual trump votes\")\n",
"\n",
"plt.title(\"Correlation from Oakland County, MI data\")\n",
"\n",
"plt.savefig(\"trump-corr\")"
]
}
],
"metadata": {
"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": "3.7.7"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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