Created
August 25, 2024 01:21
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jupyter notebook for pizza plot
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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 31, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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| |
"text/plain": [ | |
"<Figure size 2000x1000 with 3 Axes>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"import matplotlib.pyplot as plt\n", | |
"import numpy as np\n", | |
"from scipy.stats import linregress\n", | |
"\n", | |
"pizza_prices = {\n", | |
" \"small\": [11.99, 6.3],\n", | |
" \"medium\": [11.99, 13, 13.99],\n", | |
" \"large\": [14.99, 15, 15.99],\n", | |
" \"extra_large\": [17, 17.99],\n", | |
"}\n", | |
"\n", | |
"# Standard pizza sizes\n", | |
"pizza_sizes = {\n", | |
" \"small\": 10,\n", | |
" \"medium\": 12,\n", | |
" \"large\": 14,\n", | |
" \"extra_large\": 16,\n", | |
"}\n", | |
"\n", | |
"# Calculate the slope of the price per size\n", | |
"average_prices = [np.mean(prices) for prices in pizza_prices.values()]\n", | |
"sizes = list(pizza_sizes.values())\n", | |
"slope, intercept, r_value, p_value, std_err = linregress(sizes, average_prices)\n", | |
"\n", | |
"# Determine the price per diameter according to the slope and intercept of the regression\n", | |
"def price(diameter):\n", | |
" return slope * diameter + intercept\n", | |
"\n", | |
"\n", | |
"diameters = np.arange(10, 24, 2)\n", | |
"prices = [price(d) for d in diameters]\n", | |
"areas = [np.pi * (d / 2) ** 2 for d in diameters]\n", | |
"\n", | |
"fig = plt.figure(figsize=(20, 10))\n", | |
"fig.suptitle(\"Pizza Price Analysis\")\n", | |
"\n", | |
"plt.subplot(221)\n", | |
"plt.plot(diameters, prices, label=\"Price\")\n", | |
"plt.xlabel(\"Diameter\")\n", | |
"plt.ylabel(\"Price ($)\")\n", | |
"plt.title(\"Price vs Diameter\")\n", | |
"plt.legend()\n", | |
"\n", | |
"plt.subplot(222)\n", | |
"plt.plot(diameters, areas, label=\"Area\")\n", | |
"plt.xlabel(\"Diameter\")\n", | |
"plt.ylabel(\"Area (sq in)\")\n", | |
"plt.title(\"Area vs Diameter\")\n", | |
"plt.legend()\n", | |
"\n", | |
"plt.subplot(212)\n", | |
"ppsqin = [p / a for p, a in zip(prices, areas)]\n", | |
"plt.plot(diameters, ppsqin, label=\"Price per sq in\")\n", | |
"plt.xlabel(\"Diameter\")\n", | |
"plt.ylabel(\"Price per sq in ($)\")\n", | |
"plt.title(\"Price per sq in vs Diameter\")\n", | |
"plt.legend()\n", | |
"\n", | |
"fig.tight_layout()\n", | |
"plt.show()\n", | |
"\n" | |
] | |
} | |
], | |
"metadata": { | |
"kernelspec": { | |
"display_name": "rich", | |
"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": "3.9.16" | |
} | |
}, | |
"nbformat": 4, | |
"nbformat_minor": 2 | |
} | |
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