{ "nbformat": 4, "nbformat_minor": 0, "metadata": { "colab": { "name": "W4_S2.ipynb", "provenance": [], "include_colab_link": true }, "kernelspec": { "name": "python3", "display_name": "Python 3" }, "language_info": { "name": "python" } }, "cells": [ { "cell_type": "markdown", "metadata": { "id": "view-in-github", "colab_type": "text" }, "source": [ "\"Open" ] }, { "cell_type": "markdown", "source": [ "# (Exercise) Marathon Data Analysis\n", "\n", "(Reference: [Python Data Sciences Handbook](https://jakevdp.github.io/PythonDataScienceHandbook/))\n", "\n", "Here we'll use `Seaborn` to visualize and understand finishing results from a marathon.\n", "\n", "We will start by downloading the data from the Web and loading it into Pandas:" ], "metadata": { "id": "SOOkMmFLENu0" } }, { "cell_type": "code", "execution_count": null, "metadata": { "id": "xreaix9UpPl9" }, "outputs": [], "source": [ "import seaborn as sns\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import datetime\n", "import pandas as pd" ] }, { "cell_type": "markdown", "source": [ "We use the a linux command line tool `curl` to load data from an url address.\n", "\n", "We add an exclamation mark `!` to use command line tools directly in Google Colab.\n", "\n", "Check this [website](https://phoenixnap.com/kb/curl-command) if you are interested in how to use `curl`." ], "metadata": { "id": "dXhttq-FTgvO" } }, { "cell_type": "code", "source": [ "!curl -O https://raw.githubusercontent.com/jakevdp/marathon-data/master/marathon-data.csv" ], "metadata": { "id": "PHtI2m1ZEXiB" }, "execution_count": null, "outputs": [] }, { "cell_type": "code", "source": [ "def convert_time(s):\n", " h, m, s = map(int, s.split(':'))\n", " return datetime.timedelta(hours=h, minutes=m, seconds=s)\n", "\n", "data = pd.read_csv('marathon-data.csv',\n", " converters={'split':convert_time, 'final':convert_time})\n", "data.head()" ], "metadata": { "id": "vjbmQzpcEbZ6" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "This looks much better. However time information is quite tricky to visualize. To make our life easier, we will use the `convert_time` function to change the time stamps information to time values in seconds.\n" ], "metadata": { "id": "TLgeU-x9E04-" } }, { "cell_type": "markdown", "source": [ "## Q1: Add two new columns to store the `split` and `final` in seconds, and name these columns `split_sec` and `final_sec`\n", "\n", "Conversion can be made using this equation: `data['split'].astype(int)/1e9`\n", "\n", "Hint: [Here](https://www.geeksforgeeks.org/adding-new-column-to-existing-dataframe-in-pandas/) you can find some ways to add new columns to existing `pandas` dataframe." ], "metadata": { "id": "XO1BXlSWGClb" } }, { "cell_type": "code", "source": [ "data[__________] = data[________]_____________\n", "data[__________] = data[______]______________\n", "\n", "# Print the first few rows to ensure we really appended the table with the new columns.\n", "data._______" ], "metadata": { "id": "Ibzt-ei1E1H3" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "Now that we have processed our dataset, can you help us analyze the marathon dataset?\n", "\n" ], "metadata": { "id": "tNG229oFFWBo" } }, { "cell_type": "markdown", "source": [ "## Q2: Use `jointplot()` to visualize two columns (x axis will be `split_sec`, y axis will be `final_sec`)\n", "\n", "We will use `hex` for the 2D histogram part of the figure.\n", "\n", "You should see something like this.\n", "\n", "Hint: Refer to the `jointplot()` [documentation](https://seaborn.pydata.org/generated/seaborn.jointplot.html) for details." ], "metadata": { "id": "8vUd0etBXnwO" } }, { "cell_type": "markdown", "source": [ 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)" ], "metadata": { "id": "zC7gNtSgOu2L" } }, { "cell_type": "code", "source": [ "with sns.axes_style('white'):\n", " g = sns.jointplot(_________, ___________, ____, kind=____)\n", " g.ax_joint.plot(np.linspace(4000, 16000),\n", " np.linspace(8000, 32000), ':k')" ], "metadata": { "id": "vlujbJVtFSlY" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "The dotted line shows where someone's time would lie if they ran the marathon at a perfectly steady pace. The fact that the distribution lies above this indicates (as you might expect) that most people slow down over the course of the marathon.\n", "If you have run competitively, you'll know that those who do the opposite—run faster during the second half of the race—are said to have \"negative-split\" the race." ], "metadata": { "id": "tXL1ZrLXFmcl" } }, { "cell_type": "markdown", "source": [ "## Q3: Add a new column `split_frac` to the table\n", "\n", "Let's create another column in the data, the split fraction, which measures the degree to which each runner negative-splits or positive-splits the race:\\\n", "$SF = 1-2*\\frac{split sec}{final sec}$" ], "metadata": { "id": "SrVIDsqKFokm" } }, { "cell_type": "markdown", "source": [ "Hint: This is similar to what you just did for **Q1**." ], "metadata": { "id": "U0I5-Y8zVExr" } }, { "cell_type": "code", "source": [ "data[____________] = ______________________\n", "\n", "# Print the first few rows to ensure we really appended the table with the new column.\n", "data.head()" ], "metadata": { "id": "mhGdoURoFrS9" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "## Q4: Print the number of people who had a `split_frac` that was less than zero\n", "\n", "You should see a single number of 251 being printed out." ], "metadata": { "id": "W-pwzh0yIAZ_" } }, { "cell_type": "code", "source": [ "print(__________________________)" ], "metadata": { "id": "-HyCIbgLFtBl" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "Out of nearly 40,000 participants, there were only 250 people who negative-split their marathon." ], "metadata": { "id": "y0r4hFfnFvLs" } }, { "cell_type": "markdown", "source": [ "## Q5: See if there is any correlation between split fraction and other variables. Use ``pairgrid()`` to visualize all these correlations\n", "\n", "We will use `sns.PairGrid()` to visualize the correlations. Let's try to visualize `age`, `split_sec`, `final_sec`, and `split_frac` in the table.\n", "\n", "We will plot the **2D scatter plots** for male and female separately with the `gender` column. Check out `hue` option in the `PairGrid()` tutorial on how to do that.\n", "\n", "Use the palette `RdBu_r` for a visually pleasing plot~\n", "\n", "We would also like to add a legend as well.\n", "\n", "Hints: Check [PairGrid](https://seaborn.pydata.org/generated/seaborn.PairGrid.html) in the seaborn website to see how we use scatter plots for our figures." ], "metadata": { "id": "RQ-TSvruIa1L" } }, { "cell_type": "markdown", "source": [ 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)" ], "metadata": { "id": "JjruT0B_O9Xv" } }, { "cell_type": "code", "source": [ "g = sns.PairGrid(_________, vars=__________________________,hue=_______,palette=_________)\n", "g_____(______________)\n", "# Add legend here.\n", "g.____________;" ], "metadata": { "id": "fJ9hm0GVFvqu" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "## Q6: Separate the runner stats by gender and explore the differences in split fraction distributions with KDE plots\n", "\n", "Hint: You can use `kdeplot()` function in seaborn for this question. Check the seaborn [documentation](https://seaborn.pydata.org/generated/seaborn.kdeplot.html?highlight=kdeplot) for details." ], "metadata": { "id": "xIcOZX1tF0bD" } }, { "cell_type": "markdown", "source": [ 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)" ], "metadata": { "id": "Vf4WMjCzPATx" } }, { "cell_type": "code", "source": [ "# Visualize male split_frac here.\n", "sns.___________(______________________, label=____, shade=_____,color=__)\n", "# Visualize female split_frac here.\n", "sns.____________(______________________, label=______, shade=_____,color=____)\n", "plt.legend(______)\n", "plt.xlabel(________);" ], "metadata": { "id": "Twd5PtAsF01_" }, "execution_count": null, "outputs": [] }, { "cell_type": "markdown", "source": [ "## (BONUS) Q7: Compare the gender differences in split fraction again with violinplot(), but now examine these differences *as a function of age*\n", "\n", "Hint:\n", "\n", "1. Create a new column in the array that specifies the decade of age that each person is in. (Equation: 10 * (age // 10))\n", "2. Add new column to Pandas dataframe (data), you could name it \"age_decade\"\n", "3. Visualize your data with this: `sns.violinplot(\"age_decade\", \"split_frac\",...)`\n", "4. Try to explore different ways to produce the plot below, we used [violinplot()](https://seaborn.pydata.org/generated/seaborn.violinplot.html?highlight=violinplot#seaborn.violinplot), but it may be more convenient to use [catplot()](https://seaborn.pydata.org/generated/seaborn.catplot.html?highlight=catplot#seaborn.catplot)." ], "metadata": { "id": "3pSL2qrVF6QF" } }, { "cell_type": "markdown", "source": [ 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)" ], "metadata": { "id": "qwU8sn85PCTp" } }, { "cell_type": "code", "source": [ "# Recreate this figure here" ], "metadata": { "id": "SeKQevu-F8gl" }, "execution_count": null, "outputs": [] } ] }