{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "### Visualization: Matplotlib & Seaborn\n", "\n", "Matplotlib is Python's primary library for creating static, animated, and interactive visualizations.\n", "\n", "The library is built around two core components:\n", "\n", "**Figure**: The top-level container that holds all plot elements. A figure can contain one or more axes.\n", "\n", "**Axes**: The plotting area where data is displayed. Each axes object includes an x-axis and y-axis (plus z-axis for 3D plots) and provides methods for plotting data points. \n", "\n", "\n", "![Matplotlib Figure and Axes (Source: matplotlib.org)](figures/anatomy.png){width=\"60%\"}\n", "\n", ":::{.callout-note}\n", "Documentation for these packages is available at https://matplotlib.org/stable/ and https://seaborn.pydata.org/api.html.\n", ":::\n", "\n", "We can import Matplotlib as follows" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2026-01-19T18:20:48.186669Z", "iopub.status.busy": "2026-01-19T18:20:48.186438Z", "iopub.status.idle": "2026-01-19T18:20:48.615525Z", "shell.execute_reply": "2026-01-19T18:20:48.614961Z" } }, "outputs": [], "source": [ "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Seaborn is built on top of Matplotlib and provides a high-level interface for drawing attractive and informative statistical graphics. We can import Seaborn as follows" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2026-01-19T18:20:48.618230Z", "iopub.status.busy": "2026-01-19T18:20:48.617911Z", "iopub.status.idle": "2026-01-19T18:20:50.130399Z", "shell.execute_reply": "2026-01-19T18:20:50.129281Z" } }, "outputs": [], "source": [ "import seaborn as sns" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For some examples, we won't need seaborn, but we are importing it here because it has some built-in datasets that we can use for visualization. Let's load one of these datasets:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2026-01-19T18:20:50.133301Z", "iopub.status.busy": "2026-01-19T18:20:50.132982Z", "iopub.status.idle": "2026-01-19T18:20:50.150524Z", "shell.execute_reply": "2026-01-19T18:20:50.150039Z" } }, "outputs": [ { "data": { "text/html": [ "
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total_billtipsexsmokerdaytimesize
016.991.01FemaleNoSunDinner2
110.341.66MaleNoSunDinner3
221.013.50MaleNoSunDinner3
323.683.31MaleNoSunDinner2
424.593.61FemaleNoSunDinner4
\n", "
" ], "text/plain": [ " total_bill tip sex smoker day time size\n", "0 16.99 1.01 Female No Sun Dinner 2\n", "1 10.34 1.66 Male No Sun Dinner 3\n", "2 21.01 3.50 Male No Sun Dinner 3\n", "3 23.68 3.31 Male No Sun Dinner 2\n", "4 24.59 3.61 Female No Sun Dinner 4" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Load the 'tips' dataset from seaborn\n", "df = sns.load_dataset('tips')\n", "df.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We have loaded a dataset that contains information about tips received by waitstaff in a restaurant, including total bill amount, tip amount, gender of the payer, whether they are a smoker, day of the week, time of day, and size of the party.\n", "\n", "We have already seen how to create simple plots using Pandas. For example, we can create a scatter plot of total bill vs. tip using Pandas' built-in plotting capabilities (which uses Matplotlib under the hood)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2026-01-19T18:20:50.188878Z", "iopub.status.busy": "2026-01-19T18:20:50.188515Z", "iopub.status.idle": "2026-01-19T18:20:50.335285Z", "shell.execute_reply": "2026-01-19T18:20:50.334773Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "df.plot.scatter(x='total_bill', y='tip', title='Total Bill vs Tip', xlabel='Total Bill', ylabel='Tip Amount')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Oftentimes, this is enough for making a quick plot. We can use Matplotlib directly" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2026-01-19T18:20:50.337731Z", "iopub.status.busy": "2026-01-19T18:20:50.337489Z", "iopub.status.idle": "2026-01-19T18:20:50.443592Z", "shell.execute_reply": "2026-01-19T18:20:50.443118Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 6))\n", "plt.scatter(df['total_bill'], df['tip'], color='blue')\n", "plt.title('Total Bill vs Tip')\n", "plt.xlabel('Total Bill')\n", "plt.ylabel('Tip Amount')\n", "plt.grid(True)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To save a figure to a file, use `plt.savefig('filename.png')`. You can specify different formats (e.g., `.pdf`, `.svg`, `.jpg`) and adjust the resolution with the `dpi` parameter (e.g., `plt.savefig('figure.png', dpi=300)`). In Jupyter notebooks, call `savefig()` before `plt.show()`, as `show()` may clear the figure.\n", "\n", "Suppose we want to create a scatter plot that distinguishes between smokers and non-smokers using different colors. We can do this by creating two separate scatter plots and adding them to the same axes" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2026-01-19T18:20:50.445963Z", "iopub.status.busy": "2026-01-19T18:20:50.445742Z", "iopub.status.idle": "2026-01-19T18:20:50.592641Z", "shell.execute_reply": "2026-01-19T18:20:50.592014Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 6))\n", "smokers = df[df['smoker'] == 'Yes']\n", "non_smokers = df[df['smoker'] == 'No']\n", "\n", "plt.scatter(smokers['total_bill'], smokers['tip'], color='red', label='Smokers')\n", "plt.scatter(non_smokers['total_bill'], non_smokers['tip'], color='blue', label='Non-Smokers')\n", "plt.title('Total Bill vs Tip by Smoking Status')\n", "plt.xlabel('Total Bill')\n", "plt.ylabel('Tip Amount')\n", "plt.legend()\n", "plt.grid(True)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also create multiple subplots within a single figure using Matplotlib's `subplots` function" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2026-01-19T18:20:50.595334Z", "iopub.status.busy": "2026-01-19T18:20:50.595067Z", "iopub.status.idle": "2026-01-19T18:20:50.799742Z", "shell.execute_reply": "2026-01-19T18:20:50.799301Z" } }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 2, figsize=(14, 6))\n", "axes[0].scatter(smokers['total_bill'], smokers['tip'], color='red')\n", "axes[0].set_title('Smokers')\n", "axes[0].set_xlabel('Total Bill')\n", "axes[0].set_ylabel('Tip Amount')\n", "axes[1].scatter(non_smokers['total_bill'], non_smokers['tip'], color='blue')\n", "axes[1].set_title('Non-Smokers')\n", "axes[1].set_xlabel('Total Bill')\n", "axes[1].set_ylabel('Tip Amount')\n", "plt.suptitle('Total Bill vs Tip by Smoking Status')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Seaborn provides a higher-level interface for creating attractive and informative statistical graphics. For example, we can create scatter plots distinguishing between different categories using the relplot function" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2026-01-19T18:20:50.802201Z", "iopub.status.busy": "2026-01-19T18:20:50.802004Z", "iopub.status.idle": "2026-01-19T18:20:51.645206Z", "shell.execute_reply": "2026-01-19T18:20:51.644373Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.relplot(data=df, x=\"total_bill\", y=\"tip\", hue=\"time\", col=\"day\", col_wrap=2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "where each subplot corresponds to a different day of the week, and points are colored based on whether the meal was lunch or dinner. We could have created the same plot using Matplotlib, but it would have required more code.\n", "\n", "We can also create other types of plots using Seaborn, such as box plots to visualize the distribution of tips by day of the week" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2026-01-19T18:20:51.647822Z", "iopub.status.busy": "2026-01-19T18:20:51.647583Z", "iopub.status.idle": "2026-01-19T18:20:51.750824Z", "shell.execute_reply": "2026-01-19T18:20:51.750355Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.boxplot(x='day', y='tip', data=df)\n", "plt.title('Tip Distribution by Day of the Week')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see, on Saturdays there are some very high tips compared to other days but the median tip on Fridays and Sundays still seems to be higher.\n", "\n", "We can also create histograms to visualize the distribution of total bills" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2026-01-19T18:20:51.753073Z", "iopub.status.busy": "2026-01-19T18:20:51.752864Z", "iopub.status.idle": "2026-01-19T18:20:51.895542Z", "shell.execute_reply": "2026-01-19T18:20:51.894664Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.histplot(df['total_bill'], bins=20, kde=True)\n", "plt.title('Distribution of Total Bills')\n", "plt.xlabel('Total Bill')\n", "plt.ylabel('Frequency')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "where the `kde=True` argument adds a kernel density estimate to the histogram, providing a smoothed curve that represents the distribution of total bills.\n", "\n", "We can also create regression plots to visualize the relationship between total bill and tip amount" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2026-01-19T18:20:51.898548Z", "iopub.status.busy": "2026-01-19T18:20:51.898216Z", "iopub.status.idle": "2026-01-19T18:20:52.320318Z", "shell.execute_reply": "2026-01-19T18:20:52.319173Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.lmplot(x='total_bill', y='tip', data=df, hue='smoker', markers=['o', 'x'])\n", "plt.title('Total Bill vs Tip with Regression Lines')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "which includes regression lines for smokers and non-smokers.\n", "\n", "There are many more types of plots and customization options available in both Matplotlib and Seaborn. These libraries are powerful tools for data visualization in Python, and mastering them will greatly enhance your ability to communicate insights from data effectively. I recommend exploring their documentation and experimenting with different types of plots to become more familiar with their capabilities." ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3", "path": "/usr/local/share/jupyter/kernels/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": "3.13.5" } }, "nbformat": 4, "nbformat_minor": 4 }