{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "tags": [ "remove_cell" ] }, "outputs": [], "source": [ "# HIDDEN\n", "import numpy as np\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "import warnings\n", "warnings.simplefilter(\"ignore\")\n", "from matplotlib import patches\n", "from datascience import *\n", "%matplotlib inline\n", "from ipywidgets import interact, interactive, fixed\n", "import ipywidgets as widgets" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# An Empirical Demand Curve\n", "\n", "Let's examine some historical data on non-organic avocado prices and sales volumes in San Francisco from 2015 to 2018. The original dataset is taken from Kaggle and can be found here:[Kaggle Dataset on Avocado Prices](https://www.kaggle.com/neuromusic/avocado-prices).\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
Date | Average Price | Total Volume | \n", "
---|---|---|
2015-12-27 | 1.05 | 692206 | \n", "
2015-12-20 | 1.15 | 637091 | \n", "
2015-12-13 | 1.22 | 616016 | \n", "
2015-12-06 | 1.06 | 694982 | \n", "
2015-11-29 | 1.05 | 651639 | \n", "
2015-11-22 | 1.04 | 709444 | \n", "
2015-11-15 | 0.99 | 775849 | \n", "
2015-11-08 | 1.4 | 599884 | \n", "
2015-11-01 | 0.97 | 869927 | \n", "
2015-10-25 | 1.55 | 561342 | \n", "
... (159 rows omitted)
" ], "text/plain": [ "Date | Average Price | Total Volume\n", "2015-12-27 | 1.05 | 692206\n", "2015-12-20 | 1.15 | 637091\n", "2015-12-13 | 1.22 | 616016\n", "2015-12-06 | 1.06 | 694982\n", "2015-11-29 | 1.05 | 651639\n", "2015-11-22 | 1.04 | 709444\n", "2015-11-15 | 0.99 | 775849\n", "2015-11-08 | 1.4 | 599884\n", "2015-11-01 | 0.97 | 869927\n", "2015-10-25 | 1.55 | 561342\n", "... (159 rows omitted)" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "avocados = Table.read_table(\"avocados.csv\") # is it avocados or avocadoes?\n", "avocados" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Visualizing the Relationship between Price and Quantity\n", "\n", "To construct the demand curve, let's first see what the relationship between price and quantity is. We would expect to see a downward-sloping line between price and quantity; if a product's price increases, consumers will purchase less, and if a product's price decreases, then consumers will purchase more. \n", "\n", "To find this, we will create a scatterplot and draw a regression line (by setting `fit_line = True` in the `tbl.scatter` call) between the points. Regression lines are helpful because they consolidate all the datapoints into a single line, helping us better understand the relationship between the two variables. \n", "\n", "[Following image is a scatter plot of a demand curve for Avocados]" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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