diff --git a/SeattleCycling.ipynb b/SeattleCycling.ipynb old mode 100644 new mode 100755 index 1fcc5b6..9d8df99 --- a/SeattleCycling.ipynb +++ b/SeattleCycling.ipynb @@ -1,1191 +1,1206 @@ { - "metadata": { - "name": "", - "signature": "sha256:526998fe82ee7cc0b0503fc403ad31ac04d614289016ffff4ef9a4983e839dd0" - }, - "nbformat": 3, - "nbformat_minor": 0, - "worksheets": [ + "cells": [ { - "cells": [ - { - "cell_type": "heading", - "level": 1, - "metadata": {}, - "source": [ - "Is Seattle Really Seeing an Uptick in Cycling?" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "*This notebook originally appeared as a [post](http://jakevdp.github.io/blog/2014/06/10/is-seattle-really-seeing-an-uptick-in-cycling/) on the blog [Pythonic Perambulations](http://jakevdp.github.io). The content is BSD licensed.*" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "*Update: as I was putting the finishing touches on this notebook, I noticed [this post](http://www.seattlebikeblog.com/2014/06/09/a-statistical-analysis-of-biking-on-the-fremont-bridge-part-1-overview/), the first in a series on Seattle Bike Blog which analyzes much of the same data used here. Apparently great minds think alike! (incidentally, to prove that I'm not just cribbing that content, check the [github commit log](http://github.com/jakevdp/SeattleBike/commits/master): I wrote the bulk of this post several days before the SBB blog series was posted. Version control priority FTW!)*\n", - "\n", - "*Update #2: I added error bars to the estimates in the final section (should have done that from the beginning, I know...*" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "\n", - "Cycling in Seattle seems to be taking off. This can be seen qualitatively in the increased visibility of advocacy groups like [Seattle Neighborhood Greenways](http://seattlegreenways.org/) and [Cascade Bicycle Club](http://www.cascade.org/), the excellent reporting of sites like the [Seattle Bike Blog](http://www.seattlebikeblog.com/), and the investment by the city in high-profile traffic safety projects such as [Protected Bike Lanes](http://www.seattle.gov/transportation/PBL.htm), [Road diets/Rechannelizations](http://www.seattle.gov/transportation/pedestrian_masterplan/pedestrian_toolbox/tools_deua_diets.htm) and the [Seattle Bicycle Master Plan](http://www.seattle.gov/transportation/bikemaster.htm).\n", - "\n", - "But, qualitative arguments aside, there is also an increasing array of quantitative data available, primarily from the [Bicycle counters](http://www.seattle.gov/transportation/bikecounter.htm) installed at key locations around the city. The first was the [Fremont Bridge Bicycle Counter](http://www.seattle.gov/transportation/bikecounter_fremont.htm), installed in October 2012, which gives daily updates on the number of bicycles crossing the bridge: currently upwards of 5000-6000 per day during sunny commute days.\n", - "\n", - "Bicycle advocates have been [pointing out](http://www.seattlebikeblog.com/2014/05/14/fremont-bridge-smashes-bike-count-record-for-real-this-time-bike-use-rises-all-over-town/) the upward trend of the counter, and I must admit I've been excited as anyone else to see this surge in popularity of cycling (Most days, I bicycle 22 miles round trip, crossing both the Spokane St. and Fremont bridge each way).\n", - "\n", - "But anyone who looks closely at the data must admit: there is a large weekly and monthly swing in the bicycle counts, and people seem most willing to ride on dry, sunny summer days. Given the warm streak we've had in Seattle this spring, I wondered: **are we really seeing an increase in cycling, or can it just be attributed to good weather?**\n", - "\n", - "\n", - "\n", - "Here I've set-out to try and answer this question. Along the way, we'll try to deduce just how much the weather conditions affect Seattleites' transportation choices." - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "A Quick Aside" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "If anyone is landing on this page via the normal bicycle advocacy channels, I should warn you that this won't look like a typical Seattle-bike-advocate blog post. I currently work as a data scientist at the [University of Washington eScience Institute](http://data.washington.edu/), where I'm incredibly fortunate to have the flexibility to spend a couple hours each week on side-projects like this. Most of my [blog posts](http://jakevdp.github.io) are pretty technical in nature: I tend to focus on statistical methods and visualization using the [Python](http://www.python.org) programming language.\n", - "\n", - "This post is composed in an [IPython notebook](http://ipython.org/notebook.html), which is a fully executable document which combines text, data, code, and visualizations all in one place. The nice thing is that anyone with a bit of desire and initiative could install the (free) IPython software on their computer and open this document, re-running and checking my results, and perhaps modifying my assumptions to see what happens. In a way, this post is as much about **how** to work with data as it is about **what** we learn from the data.\n", - "\n", - "In other words, this is an **entirely reproducible analysis**. Every piece of data and software used here is open and freely available to anyone who wants to use it. It's an example of the direction I think data journalism should go as it starts to more and more emulate data-driven scientific research.\n", - "\n", - "That said, there's a lot of technical stuff below. If you're not familiar with Python or other data analysis frameworks, don't be afraid to skip over the code and look at the plots, which I'll do my best to explain." - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "The Data" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "This post will use two datasets, which you can easily access with an internet connection. You can find the exact data I used in the [GitHub repository](https://github.com/jakevdp/SeattleBike), or access it from the original sources below.\n", - "\n", - "First, I'll be using the Fremont Bridge Hourly Bicycle Counts. To download this data, go to the [fremont bridge](https://data.seattle.gov/Transportation/Fremont-Bridge-Hourly-Bicycle-Counts-by-Month-Octo/65db-xm6k) page, and do the following (I accessed this on June 6th, 2014):\n", - "\n", - "- click \"export\"\n", - "- click \"download as CSV\"\n", - "\n", - "Second, I'll be using weather data available at the [National Climatic Data Center](http://www.ncdc.noaa.gov/). We'll use weather data from the SeaTac Airport weather station. To get this data, go to the [Climate Data Search](http://www.ncdc.noaa.gov/cdo-web/search?datasetid=GHCND) page and do the following (I accessed this on June 6th, 2014):\n", - "\n", - "- Choose \"Daily Summaries\"\n", - "- Choose 2012/10/1 to the present date\n", - "- Search for \"Station\", and type in \"USW00024233\" (ID for SeaTac Airport weather station)\n", - "- Click the icon on the map and \"Add to Cart\"\n", - "- go to \"Shopping Cart\"\n", - " \n", - " - make sure date range is 2012/10/1 to 2014/5/14\n", - " - choose Custom GHCN-Daily CSV\n", - " - click \"Continue\"\n", - " \n", - "- next page: click \"select all\"\n", - "- click \"continue\"\n", - "- enter email address and submit order\n", - "\n", - "When the data set is ready, you will get an email with a download link. It was about an hour wait when I did it." - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Examining the Fremont Bridge Data" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The first thing we're going to do is load and examine the data from the Fremont bike counter. We'll use the [pandas](http://pandas.pydata.org/) package, a free and open source set of data analysis tools for the Python language." - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "# some necessary imports\n", - "\n", - "%matplotlib inline\n", - "import matplotlib.pyplot as plt\n", - "import numpy as np\n", - "import pandas as pd" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 1 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "# Load the data file, and create a column with total north/south traffic\n", - "\n", - "hourly = pd.read_csv(\"FremontHourly.csv\", index_col='Date', parse_dates=True)\n", - "hourly.columns = ['northbound', 'southbound']\n", - "hourly['total'] = hourly['northbound'] + hourly['southbound']" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 2 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "# Resample the data into daily and weekly totals\n", - "\n", - "daily = hourly.resample('d', 'sum')\n", - "weekly = daily.resample('w', 'sum')" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 3 - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now let's take a peek at our data and see what it looks like:" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "weekly[['northbound', 'southbound', 'total']].plot()\n", - "plt.ylabel('Weekly riders');" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "display_data", - "png": 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gYCDjxo0jMDCQkSNHsmrVKu1cg1WrVjFt2jQCAgLw9/dnxIgRAEydOpWcnBwC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- "text": [ - "" - ] - } - ], - "prompt_number": 4 - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The red line shows the total number of weekly crossings, which is the sum of the northbound and southbound crossings.\n", - "\n", - "At first glance, April and May 2014 include some spikes in the data: over 32,000 riders per week crossed the bridge one week in May! This trend might be a bit clearer if we use a **moving window average**: basically, for each day we'll take the average of the 30-day period around it:" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "pd.stats.moments.rolling_mean(daily['total'], 30).plot();" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "display_data", - "png": 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tkc/JoTLGcqOWa9KUHkePAv/9b83yqVPAunXAuHGOl0uCjTzjcOQOn1Q7ffpQ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\nPaT3uZb0abTE31NZWSnGjx8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- "text": [ - "" - ] - } - ], - "prompt_number": 5 - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "This is the increased ridership that folks have been talking about. There is some seasonal variation, but the trend seems clear: 2014 has seen a lot of cyclists crossing the bridge.\n", - "\n", - "But it is clear that there is still some seasonal variation. What we're going to try to do below is to **model this variation** based on our intuition about what factors might come into play in people's decision about whether to ride.\n", - "\n", - "For simplicity, I'm going to stick with a **linear model** here. It would be possible to go deeper and use a more sophisticated model (I'd eventually like to try Random Forests), but a linear model should give us a good approximation of what's happening." - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Step 1: Accounting for hours of daylight" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The largest component of the variation we see is a seasonal swing. I'm going to hypothesize that that swing is at least partially due to the changing daylight hours. We'll compute the number of hours of daylight and use this to de-trend the data.\n", - "\n", - "Fortunately, my PhD is in Astronomy, so I once-upon-a-time learned how to compute this:" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "# Define a function which returns the hours of daylight\n", - "# given the day of the year, from 0 to 365\n", - "\n", - "def hours_of_daylight(date, axis=23.44, latitude=47.61):\n", - " \"\"\"Compute the hours of daylight for the given date\"\"\"\n", - " diff = date - pd.datetime(2000, 12, 21)\n", - " day = diff.total_seconds() / 24. / 3600\n", - " day %= 365.25\n", - " m = 1. - np.tan(np.radians(latitude)) * np.tan(np.radians(axis) * np.cos(day * np.pi / 182.625))\n", - " m = max(0, min(m, 2))\n", - " return 24. * np.degrees(np.arccos(1 - m)) / 180.\n", - "\n", - "# add this to our weekly data\n", - "weekly['daylight'] = map(hours_of_daylight, weekly.index)\n", - "daily['daylight'] = map(hours_of_daylight, daily.index)" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 6 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "# Plot the daylight curve\n", - "\n", - "weekly['daylight'].plot()\n", - "plt.ylabel('hours of daylight (Seattle)');" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "display_data", - "png": 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39FKdk+rVgZo1gR07JNl9ntjT9aUWzLHl+HGeidO8ufR6DBgN46Smplq14/Dw8Hz/funS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\nIQG//fYbTpw4gZiYGGRmZmLFihVyy5C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- "text": [ - "" - ] - } - ], - "prompt_number": 7 - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "This looks reasonable: just over 8 hours of daylight in December, and just under 16 hours in June.\n", - "\n", - "To get a feel for the trend, let's plot the daylight hours versus the weekly bicycle traffic:" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "plt.scatter(weekly['daylight'], weekly['total'])\n", - "plt.xlabel('daylight hours')\n", - "plt.ylabel('weekly bicycle traffic');" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "display_data", - "png": 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8vLxEJOtuY/bs2abtu3TpIvv375eYmBhp0KCBqXzVqlUyatQo0zbh4eEikrV2\nQOXKlR9adz5OU1HM7tlnB4mNzXgBo0CK6HQdZd68BZYOy+J++ukncXSsLC4uQeLgUF3+85+3LB1S\noVy6dEmqVHlCHB2fFUfH56Ry5ZqmVpClS78Vna6+wF6BX0WnqyurVpl/TZWiyO26mec4jg0bNnDk\nyBGaNWsGgJubG3fu3ClQcrpw4QJHjhyhZcuWxMfHm2a7dHV1JT4+HoCYmBhatWpl2sfd3Z3o6Ghs\nbGxwd/9n/ho3Nzeio6MBiI6OpmbNmkDW2gEuLi7cvHmTihUrFig+RSkJX301l/btu3PpUl0MhmQ6\nd+7Eq6+OtnRYFte9e3fOnj3G8ePHcXd3p1GjRpYOqVBq1qzJ6dNH+PHHHwHo0WMxlSpVAmD48KGk\npOj59NPX0Gg0TJ48lX/9a4Alwy2SPBOHnZ0dVlb/tGgVdAGZpKQk+vbty/z58x/oZqfRaEpkLWDI\nWgL3rsDAQAIDA0ukXkW5q0qVKhw/Hs7ff/+NnZ0dTzzxRJH+/x8+fJhZsxag16fxyisv8MwzzxRj\ntCWrRo0a1KhRw9JhFFnFihUfOtutRqNh7NjRjB1ber8ohIWFERYWlq9t80wc/fv3Z9SoUSQkJLB4\n8WK++eYbRo4cma+DZ2Rk0LdvXwYPHkyfPn2ArLuMuLg4qlWrRmxsLFWrZrX7ubm53bey4JUrV3B3\nd8fNzY0rV648UH53n0uXLlGjRg0yMzNJTEzM8W7j3sShKJai1WqpX79+kY9z7Ngx2rXrQnLyVKA8\nu3eP5ptvUhgwILjoQSq5MhqNHD58mOTkZPz9/cv8uJO7/vcL9YwZM3LcNs+H4xMnTqRv37707duX\ns2fP8t577/H666/nGYSIMGLECLy9vRk/frypvFevXixbtgyAZcuWmRJKr169CA0NJT09naioKCIj\nIwkICKBatWo4OzsTERGBiLB8+XJ69+79wLHWrVv3yK6Kpij/67PPviY5eQIwARhOSsqXfPDBZ5YO\n65GXkZHB00/3ITBwIL16TcHDownnzp2zdFglz1wPVvbu3SsajUZ8fX3Fz89P/Pz8ZOvWrXLjxg0J\nCgp6aHfcDz74QOrVqydeXl6ybds2U/nd7rj16tWT1157zVSempoq/fv3N3XHjYqKemgsZjxNRbGI\nYcNeEfjknu6dO8Xbu7Wlw3rkff7556LTdRZIFxCxspojTz7ZxdJhmUVu180cpxxxcnLKsf1Vo9Fw\n+/ZtM6aKmYz1AAAgAElEQVSz4qWmHFEeNeHh4QQF9SIl5ROgPDrdG8yb9yYvvTTiodsnJCTw8cef\ncvlyHJ07P8WgQS+U2PPFR8mrr05g0SI34D/ZJWdwde1BXNyjd9dRqNlxk5IenZW3FOVR06pVK378\ncTUhIXNJS0tn1Ki3GT586EO3TU5Oplmzdly50pz09OasX/8Rp05FMmtWzm3YysO1aOGLTvcFKSmj\nACesrb/F19fX0mGVuDwnOQwPD8fb2xtnZ2cAbt++zV9//UXLli1LJMDioO44ypbMzEwmTXqHFSvW\n4OCgY+bMqTz//EBLh1VmrVmzhhEjlpCUtB3QAHFYW9chNTWpzE/EV9KMRiPDh49h9erVaLXlcHev\nzK+//ky1atUsHVqxK9JCTn5+fhw+fNjUJddgMNC8eXOOHDlS/JGaiUocZcvkydP4/PNfSUn5AriG\ng8PzbNnyner8UEjfffcdY8b8RHLy6uwSPVpteVJS7mBra2vR2Mqq2NhYkpOTqVOnziObfIs0Oy5w\n3zgOrVZrmjZYUcxhzZpNpKTMBbyB9uj1/2bt2s2WDqvM6ty5M1rtr2g0XwIHsbcfSrdufVTSKILq\n1avj4eHxyCaNvOSZOOrUqcOCBQvIyMggPT2d+fPnl8l5ZJSyw8nJCfhnTI9WexkXFyez1HXq1Cl8\nfdvi4lKdtm273jeW6FFRvXp1fv/9/2jTZhN16rzEoEHVWL36W0uHpZRheTZVxcfH8/rrr7N7924A\ngoKCmD9/vmngXlmgmqrKlh07dtCnzyD0+lewtr6Gi8uPHDsWjpubW7HWk5iYSL16jbl5821EeqDV\nfkvNmquJjDxaqteCVpSSUKRnHDdu3DDNt1JWqcRR9hw8eJD16zfi6OjAiBEvmmXd67CwMPr0eZvE\nxN+ySwRHxzocPfp/eHh45LpvWREdHc3ly5epX7++msNNKZAiPeNo1aoV/fv35+eff1YXX6XENG/e\nnFmz3uftt9/KV9IQEebN+4wnnmhMrVo+fP75F3nu4+zsTGZmDJCWXZJIZmaCqQdhWTd37md4eDSh\nS5exPPGEFzt27LB0SMqjIq/RgwaDQbZv3y4DBgyQunXryptvvilnzpwp5FhEy8jHaSpl3JIl34hO\n10AgXGC/6HSesmzZ8lz3MRqN8swzwaLTPSkwXRwdm8jo0RNKKGLzOnXqlDg4uApczB5ZvkecnCpJ\nWlqapUNTyojcrpt5NlXd65dffmHQoEEkJyfj5+fHrFmzaNOmjfmyWjFRTVWPvqeeeobffnsReC67\nZA0dO65i164Nue5nMBhYvnw5Z8+eo2lTX/r16/dIjKjevHkzgwd/xe3bP5nKdLoanD4dYVqKQFFy\nU6iR43ddv36dFStW8N133+Hq6srnn39Oz549OXbsGP369ePChQvFHa+iFFhWr6vYe0picHZ2zHM/\nrVbLsGHDzBWWxXh5eZGRcRC4ANQGwtBqM01r4ShKUeSZONq0acOgQYPYtGnTfQsqNW/enFdeecWs\nwSmlU2ZmJps2beLatWu0a9cOb29vS4fEjBkTCQvrSkpKDGBEp1tCSMj/WTosi/Hy8uLDD0OYNMkf\nW9uaGI2xbNiwSo3dUIpFnk1VIlLmb91VU1XxycjIIDCwB3/+mYTB4I1Gs5lVq5bQq1evvHc2o8zM\nTM6cOcOyZSuwstIwbNhgGjRoYNGYSoP4+Hiio6OpV68eLi4ulg5HKUOK1Kvq6aefJiEhwfT65s2b\ndOnSpfiiU8qU9evXc+yYnqSkvej1S0hJ2cCLL47NdZ/Tp0/Tu/fztG7dlU8+mYfRaCy2eM6dO0eD\nBs2xtbXjqaeeJiioPbNnf6CSRjZXV1f8/f1LNGkYDAZOnz5NZGSk+sL2iMozcVy7do3y5cubXles\nWNG0Trjy+ImPjycz0xe4O9VCUxIScv7/cPnyZVq2DGTLFn/Cw8cyffoqJk9+p1hiERE6derN2bOD\nEEnn1q2VPPfcIC5evFgsxzcng8HApEnv4O7uTf36zdm0aZOlQyoWCQkJNG/enubNu+Ln14GOHXuS\nmppq6bCUYpZn4tBqtff9IV64cOG+uauUx0vbtm3RatcDx4AMrK2n0bJlYI7b//DDD6Sl9UTkP8Az\npKSs4csvFxdLLNeuXSMuLhaR8WQlsvZYWz/JwYMHi+X45jRlSggLF4YRHb2SyMj3GThwFL///rul\nwyqyCROm8tdfDUlOPk9KShQREdbMnPmxpcNSilmeGeCDDz7gqaeeYtCgQQwaNIh27doxc+bMkohN\nKYWaNWvGV1/NwckpCCsrHf7+R9iwYXmO22c9H7t3UkxDsT0zc3FxQSQduLuIjh6D4VS+eg7dvHmT\n//73v3z77bdcvXq1SHF8/vkXVK/uSZUqtZkyZXq+muJWrlxHSsrngB/QFb3+ddau3VikOEqDI0dO\nkpY2kKxLiw16fTAHD56wdFhKccvPQJCrV6/K5s2bZcuWLXLt2rWijSqxgHyeplIARqNRMjMz89wu\nOjpaypevLlZW7wmsEZ3OT956K6TY4vjii8Wi01UXne5FcXLykeDgYWI0GnPd5/Lly1K1ai1xdHxO\nHB2DpWJFN/n7778LVf/q1WtEp6sncFDglOh0AfLBBx/luZ+Hh7/ANtPSr1rtWHn77WmFiqE0ef75\nkWJr+5qAUSBT7O0HyJtvvmPpsJRCyO26mWOvqr/++ouGDRty6NCh+56u3/226O/vX1K5rchUryrL\n+vvvv3nnnZnEx9+kb9+ujB79crH21Dt06BAHDx7kiSeeoGvXrnkee9iw0Xz/fQUMhqw7ZyurmfTu\n/Rc//JDznVNOnntuCBs2BAIvZpfsokmTGRw7tifX/TZu3Mjzz7+CXj8OrTYWF5cf+PPPiGKfyLGk\nXb9+nSeffJrY2HRE0mnY0I2wsJ/Q6XSWDk0poEINAJw7dy5ff/01b7zxxkP/EO/OlqsoealXrx4r\nVy412/GbNWtGs2bN8r39lSvxGAwdTa+NRj+io8MKVXfFis5YWV3gn9api5Qvn/dcV3369GHHjsqs\nXbsRZ+cKvPJK2U8aAJUrV+b48XCOHTuGVqvF19f3sV2z4lFWoClHyip1x6Hca+7cBbzzzipSUjYD\n1uh0zzFpUmemT59q2uby5cv89ttvODs706VLlxynWY+KiqJp0zYkJz+L0eiIg8N/2bXrxzK1tLKi\nPEyRplXX6/UsWrSI3377DY1Gw1NPPcXo0aOxt7c3S7DmoBJH2XDr1i1Gj36DP/44jIdHXRYvnkvt\n2rWLvR6j0ci4cZP48suFgDBkyAi++mq+KTns27ePLl36oNG0R+QijRs78+uvP+c46vry5cssX/49\nmZmZ9O/fj4YNGxZ7zIpS0oqUOPr374+zszODBg1CRFi5ciWJiYmsXbvWLMGag0ockJ6ezo8//khi\nYiKBgYHUqVPnvvf1ej0bN24kKSmJTp06PfC+uYkIzZu358QJb9LTX0Kr3U7lykuIjDxGuXLlzFLn\n3d5P/9u93NPTn3Pn3gL6AgZ0um7Mm9efl156ybTN3b+B1NRUunfvXqZWxRQREhMTcXR0xMbGxtLh\nKKVUrtfNvJ6sN2zYMF9lDzN8+HCpWrWqNG7c2FQ2ffp0cXNzEz8/P/Hz85Off/7Z9N7MmTPFw8ND\nvLy8ZPv27abygwcPSuPGjcXDw0Nef/11U3lqaqoEBweLh4eHtGzZUi5cuPDQOPJxmo80vV4vTZu2\nFSenJ8XRcZA4OlaWX3/91fT+nTt3xMvLX5ycOolON1QcHSvL77//XqIxXr58WRwcqgoYTD2NnJ3b\nyv/93/+VaBwiIs7OrgJXTHFoNG/LtGnTTe9fv35d3Nw8Rad7VuztR4qTUxWJiIgo8TgL48qVK9Kw\nYXOxsXESGxudfPrpZ5YOSSmlcrtu5nlFfeGFF2Tfvn2m1/v375dBgwblq+I9e/bI4cOH70scISEh\nMmfOnAe2PXnypPj6+kp6erpERUVJvXr1TN0qW7RoYfrD7Natm2zdulVERBYuXCijR48WEZHQ0FAZ\nMGDAw0/yEU8cUVFRMmjQS9K5c19ZtOirB7qjLlq0SBwcumV3kRSBjVK3rq+IZF1IAgLaiJVV73ve\nXy2NGrUq0XO4evWq2No6C9zJjsEgTk6NZe/evSUah4hI5859xMZmXHYSuyQ6XV3Ztm2b6f0333xb\nbGxeNiUWWCYtWnQs8TgLIyCgo2i107J/11Gi09WUPXv2WDospRTK7bqZ4wBAHx8ffHx8OHToEE8+\n+SS1atWidu3atGnTJt8jc5966ikqVKjwsLucB8o2bdrEwIEDsbGxoXbt2nh4eBAREUFsbCx37twh\nICAAgCFDhrBxY9ZAqc2bNzN06FAA+vbty65du/IV16MkLi4Of/8nWbmyBjt39uc///mCadPeM72/\nfft2pk2biV7vD9ztHdec69fjuHnzJv7+T3LggBGjseU97zfl6tWSnVamSpUq9O8fjE7XDfgSe/v+\nNGhQiVatWpVoHAArVizG1/cY1taO2Nh4MX36q/fNzxYXd52MjMb37NGYa9eul3ichXHkyH4Mhv+Q\n9buuTUZGXyIiIiwdllLG5Ngdd8uWLTnuVNQ++J999hnfffcdzZs3Z86cOZQvX56YmJj7LhLu7u5E\nR0djY2Nz33Tubm5uREdHA1nrKd9dlMba2hoXFxdu3rz5WK2tvH79evT6ThiNIQCkpAQwb14A7703\njQMHDvDss4PR68cCS8gaa1ATW9v3adu2HZs2bSI5uTkiw4HXgQFAdezs3qVjx8ASP5dly76kdevF\n7Nt3iIYNm/PGG+Nz7M1kTlWqVOHAgd0kJSVhb2//QAw9e3ZmzZo3SUnpClTGwWE63bt3KvE4C6NK\nFXdiYn4DugEZ2NpG4O7+uqXDUsqYHP8qzdGbBWD06NFMmzYNgHfeeYc33niDpUvN18f/rpCQENO/\nAwMDCQwMNHudJcFoNCJy76/R2vTQd+3aH9DrxwDTgIqAD5BGQEAnli9fyQ8//ICILdCDrGk7/IBk\nAgN78/XXy0r2RMiaF+3VV0fz6qslXvVDOTk5PbT8ueee49y5C7z7bmvS0/X06fMv5s4tG9PwfP/9\nV/TsGYyVVTtEImnTph79+/fPc7/Dhw8zdepMEhLu8MILvRk7dnSZX25BuV9YWBhhYWH529jc7WRR\nUVH3PePI6b1Zs2bJrFmzTO916dJFwsPDJTY2Vho0aGAqX7lypbzyyiumbfbv3y8iIhkZGVK5cuWH\n1lMCp2kRx44dEzc3TwEHgY8EfhKdrrWMGzdJRERmzHhXrK3H3NMWv0tq1frndxETE5M9HchHAjvE\nwaGDDB06ylKno5SQixcvyurVq2Xnzp1iMBjy3P6vv/4SR8fKAosEtohO10Tef//DEohUsaTcrpsl\nnjhiYmJM/547d64MHDhQRP55OJ6Wlibnz5+XunXrmh7yBgQESHh4uBiNxgcejt9NIqtWrXqsHo6n\npKRIpUo1BZYJ/CnQXqysKsu0ae+aLgZXrlyRihXdRKsdL/CJODjUkJUrV913nDNnzkj37sHStGmg\nvP32u5KRkWGJ01FKsXfemS5WVpPu+QJyVKpV87B0WIqZ5XbdzLMBecGCBQwePPihD7nzMnDgQH79\n9VeuX79OzZo1mTFjBmFhYRw9ehSNRkOdOnX46quvAPD29iY4OBhvb2+sra1ZtGiR6VZ40aJFDBs2\nDL1eT/fu3enatSsAI0aMYPDgwXh6elKpUiVCQ0MLHGNZFRkZSXq6EzAkuySMcuVa8fTTHU3jEtzc\n3Dh2LJzPPvuChISLDBiwnI4dO953nPr16/PTT6tLNvgScPjwYbZs+REnJ0eGDh1K5cqVLR1SmaXR\naNBoMu4pyUCjyXtphVu3bvH554uIj79B9+6d6N69u/mCVEpWXlln6tSpUq9ePenfv79s3bo1z5lH\nS6N8nGaZExMTI3Z25QXis78F3hIHB1c5e/aspUOzuG3btolOV0WsrCaLnd0QqVatjly9etXSYRWb\npKQkOXbsWImd07lz56RcuSqi0cwWWCE6XX359NMFue6TmJgoNWt6ia3tMIGPRKerLZ99tqhE4lWK\nR27XzXxdUQ0Gg2zdulUGDBgg9erVkylTpsi5c+eKLUBzexQTh4jIW2/NEEfHOuLg8LI4OtaX116b\naOmQSgUvrxYCm01NKzY2L0lIyLuWDqtY7Nu3T1xcqkm5ct5iZ+cin3wyv0TqPXXqlAwYMFyefrqf\nLFu2PM/tFy9eLDrds/c0b50QZ2fXEohUKS65XTfz1dfRysqKatWq4erqilar5datW/Tr149OnTrx\n8cdqdS9Lef/9aXTu3J6TJ0/i5RVMUFCQpUMqFW7fTgT+mTIlI6MuN2+WjXEWuTEajTzzTH8SExcD\nPYFLTJvWik6d2uPr62vWuhs2bEho6Df53j45ORmD4d4FtaqRlpZS/IEplpFX1pk3b574+/tL586d\nZfXq1ZKeni4iWXchdevWLb70Zkb5OE3lHhkZGRIfH5+vhZpyc+LECRkzZry8/PJrEh4eXkzR5e3V\nV98QB4cuAucFfhdr6yrStm0nWbZseZlsar3rxo0b2aPrxfRTrlw/WblypaVDe8CZM2dEp6sssEbg\nhNjb95bg4GGWDkspgNyum3leUadNm5bjHFAnT54sfFQlSCWO/Nu6das4OVUSO7uKUqFC9ULPWXXs\n2DFxdKwsGk2IwGzR6arI7t27izfYHKSlpclLL70mLi7VRaNxEY2mh8BScXT0LtPdSA0Ggzg7VxX4\nJTtxxIlO5y4HDx60dGgPtXfvXvHxaSM1anjJiBFjJSUlxdIhKQWQ23Uzx9lxb968efeO5KEDfcrS\n6Gw1O27+XL16lbp1G5GcvAFoC/yEi8tIYmL+znMFt5SUFI4cOYK9vT1NmzZl8OCXWbnSC5iYvcX3\ntG27ir17fzLzWfzj888/Z+LECFJT767sd4Zy5dpx+7b5plMREW7fvo2zs3O+B8glJCQwd+58Ll2K\n4+mnn2LgwIE57vvLL7/Qu/e/0Grrkpb2N5MnTyAkZOpDt1WUoijUCoD+/v65/sePiooqemRKqXLq\n1CmsrRuQlTQAemA0OhMVFUWjRo1y3O/SpUu0adOJO3dcMBgSaN68Ps7OzmSNVr+rInp9qhmjf1BG\nRgZGo+M9JU4YDJlmqy88PJxnnunP7du3cHQsx8aNobRv3z7XfZKTk2nevB2XLzcjPb0Z69bN4uTJ\nSD74YPpDt+/YsSMXLvzF6dOnqVGjRolPf68oQOHacMpaO3EhT/Oxc+7cOXFwqCIQl90U8rfY2bnI\njRs3ct2vU6c+otW+l71Phjg4dJcXXxwhOl1NgW0Cv4pO10C++GJxCZ1JlvPnz4uTUxWBLwR2i07X\nXsaMmWCWuu7cuSMuLtUENmV/DjvEyalKnp9daGioODl1vmdm4hixtrbP14huRTGn3K6beY7iuTuv\n1F0Gg4FBgwaZKY0pllSvXj0mT56ATuePs/Oz6HRtmDPnwzybJc+cicRg6Jn9yhq9vhsGgw1LlnxE\nw4YheHq+wYcfvs6oUSPNfxL3qFOnDnv37iAw8GcaN36bf/87iPnzPzJLXefOnUOkEtAru6QzWm0d\nTp8+net+qamp2fvdvbsvj9FowGAwmCVORSkOea4AOGzYMLy8vJgyZQppaWkEBwfTtGnT+yYNLO3U\nM46COXr0KOfOncPb2xtvb+88t+/d+3m2bq1GRsYcQI9O142PP/4XY8aMNn+wpURcXBy1azckLe04\n4A7EY2/fmFOn/si1OSkmJoaGDf25fftdoDn29rPp1EnDli2P3mh+pWwp0gqABoNB/vWvf8nMmTOl\nU6dOMnfu3GK7FSop+ThNpQji4+OlYcPm4uj4hNjbV5L+/Yfk2ZV3yZJvpGrVOuLs7CojR46VtLS0\nEorWfGbPniM6XQ0pV26A6HTuMm3a+/na79ixY9K69dNSu3YTGTFirCQnJ5s5UkXJW27XzRzvOA4d\nOmR6OJ6RkcGoUaNo06YNI0dmNTf4+/ubI8mZhbrjKB5///03ISEfcv16AsHBPRg2bIjp/4jBYOD8\n+fM4ODjct37Kw2zfvp3nnnuJlJT1QFUcHF5mxIgmfPZZ2R9MeuTIEU6dOkX9+vVp0aKFpcNRlELL\n7bqZY+IIDAy8r1eV/E+33N27dxdzmOajEkfRXblyhcaNW3DnzmiMxnrodDN5553hvPnmfwp8rDFj\nxvPFF27801X3GO7uz3P58slijVlRlMIrVHfcfC/ooZRKaWlpfPjhHA4dOomfXwOmTJmIvb19oY8X\nGhqKXt8LozGrs0RKih8ff9y1UImjcuXyWFufJ9PUM/ZvXFxc8rVvWloaAHZ2dgWuNy+3bt3ivfc+\n5O+/rxAU1JqxY0ebZhpWFOUfef5VxMXFMWLECNNU5qdOnSqRFfuUwhMRunXrx+zZ4Wze3IWPPjpC\nUFAv08qAhWEwGDAabe8psSv08caOHUO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FQykvnw+8QnFxIm+8Mad6QotIvafiMNmUKf9L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\nxCkqDhERcYqKQ0REnPL/Hbt9RXgEoLIAAAAASUVORK5CYII=\n", - "text": [ - "" - ] - } - ], - "prompt_number": 8 - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We see a clear trend, though it's also apparent from the wide vertical scatter that other effects are at play.\n", - "\n", - "Let's apply a linear fit to this data. Basically, we'll draw a best-fit line to the points using some convenient tools in the [scikit-learn](http://scikit-learn.org) package, which I've been active in developing:" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "from sklearn.linear_model import LinearRegression\n", - "\n", - "X = weekly[['daylight']].to_dense()\n", - "y = weekly['total']\n", - "clf = LinearRegression(fit_intercept=True).fit(X, y)\n", - "\n", - "weekly['daylight_trend'] = clf.predict(X)\n", - "weekly['daylight_corrected_total'] = weekly['total'] - weekly['daylight_trend'] + weekly['daylight_trend'].mean()\n", - "\n", - "xfit = np.linspace(7, 17)\n", - "yfit = clf.predict(xfit[:, None])\n", - "plt.scatter(weekly['daylight'], weekly['total'])\n", - "plt.plot(xfit, yfit, '-k')\n", - "plt.title(\"Bicycle traffic through the year\")\n", - "plt.xlabel('daylight hours')\n", - "plt.ylabel('weekly bicycle traffic');" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "display_data", - "png": 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/v+TvLi4ucHFxkfkxGaalE4lEGDBgBOLjTcHnj8OlS0dx+bI7Ll78s1mNbMrM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\nxIkTaNu2bfkH1dCkgbfC5cuXqVOnTuTs7Ez+/v71apYXEVFoaCi1b9+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- "text": [ - "" - ] - } - ], - "prompt_number": 9 - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Once such a linear model is fit, we can look at the model coefficients to see, on average, how the change in one variable affects the change in another:" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "print(clf.coef_[0])" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "2056.44964989\n" - ] - } - ], - "prompt_number": 10 - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "This tells us that according to this model, each extra hour of daylight leads to about 2000 more riders per week across the bridge! Of course, in Seattle the length of the day also correlates highly with temperature and precipitation; we'll try to untangle those effects later." - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now that we have fit this trend, let's subtract it off and replace it by the mean:" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "trend = clf.predict(weekly[['daylight']].as_matrix())\n", - "plt.scatter(weekly['daylight'], weekly['total'] - trend + np.mean(trend))\n", - "plt.plot(xfit, np.mean(trend) + 0 * yfit, '-k')\n", - "plt.title(\"weekly traffic (detrended)\")\n", - "plt.xlabel('daylight hours')\n", - "plt.ylabel('adjusted weekly count');" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "display_data", - "png": 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GYRhGJVhCYRiGYVSCJRSGYRhGJVhCYRiGYVSCJRSGYRhGJVhCYRiGYVSCJRSGYRhGJVhC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\nMf2hbR86dIiRI8djMLhgNl9lyZJFvPHGq9WuddG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- "text": [ - "" - ] - } - ], - "prompt_number": 11 - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "This is what I mean by \"de-trended\" data. We've basically removed the component of the data which correlates with the number of hours in a day, so that what is left is in some way agnostic to this quantity. The \"adjusted weekly count\" plotted here can be thought of as the number of cyclists we'd expect to see if the hours of daylight were not a factor.\n", - "\n", - "Let's visualize this another way. Instead of plotting the number of riders vs daylight hours, we'll again plot the number of riders vs the day of the year, along with the trend:" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "weekly[['total', 'daylight_trend']].plot()\n", - "plt.ylabel(\"total weekly riders\");" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "display_data", - "png": 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DB0va/PLLLwCAffv2oWfpJVNrGOI3hJqALrJo4qpydJSdmU1EWHVhFcYfHo99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\n", - "text": [ - "" - ] - } - ], - "prompt_number": 12 - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We can similarly view the adjusted total number of riders over time by subtracting this green line from the blue line:" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "weekly['daylight_corrected_total'].plot()\n", - "rms = np.std(weekly['daylight_corrected_total'])\n", - "plt.ylabel(\"adjusted total weekly riders\")\n", - "print(\"root-mean-square about trend: {0:.0f} riders\".format(rms))" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "root-mean-square about trend: 3100 riders\n" - ] - }, - { - "metadata": {}, - "output_type": "display_data", - "png": 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czlbFERbW6P5SAjdi3Fn3eWio6613McWh0TRaHZ6mOPjk5irLqrNUHBpNo9Xh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\nokWLrPLme/bsMV0Dq6GhAQ8//LDpMblcDp1OBzc3N8jlclO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- "text": [ - "" - ] - } - ], - "prompt_number": 13 - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "With the data de-trended, we get a better idea of how bicycling in Seattle has changed over time, corrected for the seasonal variation." - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Accounting for Day of the Week" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Above we've been looking at weekly data. This is because daily data shows a clear swing as a function of the day of the week, which we'll show here." - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "days = ['Mon', 'Tues', 'Wed', 'Thurs', 'Fri', 'Sat', 'Sun']\n", - "daily['dayofweek'] = daily['total'].index.dayofweek" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 14 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "grouped = daily.groupby('dayofweek')['total'].mean()\n", - "grouped.index = days\n", - "\n", - "grouped.plot()\n", - "plt.title(\"Average Traffic By Day\")\n", - "plt.ylabel(\"Average Daily Crossings\");" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "display_data", - "png": 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ME1dVseVrBya+C8vPz4/c3NwKHVwIUTM1awYPPwxffWXuSIQpldoCCQ4OZs+e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\nzi7X+W2BrffDSn7Wq7pyu+c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- "text": [ - "" - ] - } - ], - "prompt_number": 15 - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "As you might expect in a city of bicycle commuters, there is roughly 2.5 times the amount of traffic on weekdays as there is on weekends. Bicycles are not just for entertainment! In Seattle, at least, they are a real means of commuting for thousands of people per day, and the data show this clearly.\n", - "\n", - "Let's de-trend the daily bike counts based on the daily totals. We'll add a variable for each day of the week, and use each of these within the trend (this is an example of what's sometimes known as \"one-hot\" encoding)." - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "# Add one-hot indicators of weekday\n", - "for i in range(7):\n", - " daily[days[i]] = (daily.index.dayofweek == i).astype(float)\n", - "\n", - "# de-trend on days of the week and daylight together\n", - "X = daily[days + ['daylight']]\n", - "y = daily['total']\n", - "clf = LinearRegression().fit(X, y)\n", - "\n", - "daily['dayofweek_trend'] = clf.predict(X)\n", - "daily[['total', 'dayofweek_trend']].plot();" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "display_data", - "png": 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ZsDx4GA4j2TWeJ5/hmIp+o9tnB0fJWwRuqRIhRk/ymgavvTa8XWNF6Qzl10ty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\nCiC1+5KP+JzOMWUUjXaTi3ED1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- "text": [ - "" - ] - } - ], - "prompt_number": 16 - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "This shows all the daily bicycle counts (in blue) along with the best-fit trend based on the day of the week and the number of daylight hours per day. It's more clear if we plot the de-trended data:" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "daily['dayofweek_corrected'] = (daily['total'] - daily['dayofweek_trend'] + daily['dayofweek_trend'].mean())\n", - "print(\"rms = {0:.0f}\".format(np.std(daily['dayofweek_corrected'])))\n", - "daily['dayofweek_corrected'].plot();" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "rms = 698\n" - ] - }, - { - "metadata": {}, - "output_type": "display_data", - "png": 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fXU3bp08LkZpK/9PS6LvsbCEefFCIb3yDjlm9WoivflW7vx6PEN/8phDXX6+/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\nnqKkpASdTsfjjz/uWS+Y4vfmdrs88sgjFBYWkp6ezssvv8zMmTMDHdq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- "text": [ - "" - ] - } - ], - "prompt_number": 17 - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now we're getting somewhere! What we're seeing here is the number of bicycle crossings per day, corrected for the daily and annual trends. In other words, this is what we might expect the data to look like if the day of the week and the hours of light per day did not matter.\n", - "\n", - "Let's continue on this line of reasoning, and add some more information to the model." - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Accounting for Temperature and Precipitation" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Next we'll account for the NCDC climate data that was described above. The data includes the daily maximum and minimum temperatures, as well as the amount of recorded rainfall at SeaTac airport, about 15 miles to the south. Let's take a look at this data:" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "# Read the weather file\n", - "weather = pd.read_csv('SeaTacWeather.csv', index_col='DATE', parse_dates=True, usecols=[2, 3, 6, 7])\n", - "\n", - "# temperatures are in 1/10 deg C; convert to F\n", - "weather['TMIN'] = 0.18 * weather['TMIN'] + 32\n", - "weather['TMAX'] = 0.18 * weather['TMAX'] + 32\n", - "\n", - "# precip is in 1/10 mm; convert to inches\n", - "weather['PRCP'] /= 254\n", - "\n", - "weather['TMIN'].resample('w', 'min').plot()\n", - "weather['TMAX'].resample('w', 'max').plot()\n", - "plt.ylabel('Weekly Temperature Extremes (F)');\n", - "plt.title(\"Temperature Extremes in Seattle\");" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "display_data", - "png": 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5YcCAAdiyZQsAgM1mIzg4GL1790ZISAgqKirUIVqnobJdgtSANuqSV5WH2QNmo4hThLsF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\nNddfeYXVXM/MBF56Sf+s1pkzmcF48MD6citHAaZM0xg/Hvj9d2boPDz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- "text": [ - "" - ] - } - ], - "prompt_number": 18 - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "This shows the maximum and minimum temperatures in Seattle. They vary in ways you might expect. For example, you can easily see the late 2013 freeze that killed my artichoke plants last year.\n", - "\n", - "Now let's look at precipitation:" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "weather['PRCP'].resample('w', 'sum').plot();\n", - "plt.ylabel('Weekly precipitation (in)')\n", - "plt.title(\"Precipitation in Seattle\");" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "display_data", - "png": 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pTa8XTU3s5WgV8be5OPB4gJYW9mwrafC1+kxeorbPqlWr8M477+D48eM+vn9N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\njhw5ggULFgAA8vLykJeXBwCYM2cOvv/+exQWFqKgoABXXHG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- "text": [ - "" - ] - } - ], - "prompt_number": 19 - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The precipitation is also as you might expect. Almost none in the summer months, and up to about 4 inches per week in the rainiest parts of the year. \n", - "\n", - "What we do next will start to look very familiar: we'll add the climate information to our original daily dataset, and then use a linear model to de-trend the data with this new information." - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "# join the weather data to our daily data\n", - "daily = daily.join(weather)" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 20 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "columns = days + ['daylight', 'TMIN', 'TMAX', 'PRCP']\n", - "\n", - "X = daily[columns]\n", - "y = daily['total']\n", - "clf = LinearRegression().fit(X, y)\n", - "daily['overall_trend'] = clf.predict(X)\n", - "\n", - "# Plot the overall trend\n", - "daily[['total', 'overall_trend']].plot()\n", - "plt.ylabel('Daily bicycle traffic');" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "display_data", - "png": 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tx0svyeoLQpWDVlU0HGHnBdFdF+zYNupG1/Hsx7v2TRbWNddcA8BJJ520Z3sM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\nnN9gH2vUy/kczOPff+73bH9mOxue3lAX5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- "text": [ - "" - ] - } - ], - "prompt_number": 21 - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "This shows the data along with the overall trend, accounting for precipitation and temperature extremes. Let's de-trend the data with this model and see what's left over:" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "daily['overall_corrected'] = daily['total'] - daily['overall_trend'] + daily['overall_trend'].mean()\n", - "print(\"rms = {0:.0f}\".format(np.std(daily['overall_corrected'])))\n", - "daily['overall_corrected'].plot()\n", - "plt.ylabel('corrected daily bicycle traffic');" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "rms = 520\n" - ] - }, - { - "metadata": {}, - "output_type": "display_data", - "png": 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Xa6nRg4nBg+uMM4B//tP82dtvp5WtHdhVMcmTttw+/LxVuHlSQVGc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\nnoMMLQnRNpmDEIZitUJoaNsJoGm9hPy5iEedzEGIR4b0IIRQjyQIHdL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- "text": [ - "" - ] - } - ], - "prompt_number": 22 - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "From the reduced RMS, we can see that our model does a fairly good job capturing the trends. But there's still some daily variation that it cannot account for. We could think about what this might be, and try to capture it with more inputs to the model. For example, a person's choice to ride might be affected not just by the weather today, but by the weather yesterday. We also could account for freezing temperatures, which may manifest as a nonlinear effect.\n", - "\n", - "In order to better see the remaining trend, let's plot a month-long moving-window average over the corrected data:" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "pd.stats.moments.rolling_mean(daily['overall_corrected'], 30).plot()\n", - "plt.ylabel('Corrected daily bicycle traffic')\n", - "plt.title('1-month Moving Window Average');" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "display_data", - "png": 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y0hdCgccgOBwOh0HEgtA5OYCtreJ9Hj0CZs0CduzQIwYxZ84c/P3339i+fTsA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\n", - "text": [ - "" - ] - } - ], - "prompt_number": 23 - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "This is similar to the moving window we used above, exept we are using de-trended data. What we see is that even after correcting for the length of day, the temperature, the precipitation, and the weekly trends, we still see a huge spike of riders in May 2014.\n", - "\n", - "I want to remark on one interesting feature: the detrended data hits a low-point in July 2013. This does not mean there were fewer riders in that month, but that there were **fewer riders than the model would expect** given the weather, hours of daylight, and day of the week. This points to the existence of other factors that we've not taken into account. Perhaps the average weather in a given time period affects people's decisions: that is, a warm day in January brings everyone out, while a warm day in July is so unexceptional that people leave their bike in the garage. It would be interesting to do a more detailed analysis and try to eke-out this type of information.\n", - "\n", - "Nevertheless, if you look at this plot and squint, you can also see what looks like a steady upward trend from left to right. Let's see if we can quantify this." - ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Accounting for a Steady Increase or Decrease of Riders" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "As a final model, we'll add-in the day index to allow our model to account for an overall increase or decrease in the number of riders with time:" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "daily['daycount'] = np.arange(len(daily))\n", - "\n", - "columns = days + ['daycount', 'daylight', 'TMIN', 'TMAX', 'PRCP']\n", - "X = daily[columns]\n", - "y = daily['total']\n", - "final_model = LinearRegression().fit(X, y)\n", - "daily['final_trend'] = final_model.predict(X)\n", - "\n", - "daily['final_corrected'] = daily['total'] - daily['final_trend'] + daily['final_trend'].mean()" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 24 - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "daily['total'].plot()\n", - "daily['final_trend'].plot();" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "metadata": {}, - "output_type": "display_data", - "png": 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3g4aHQU+UxhRC5LMTs5B9jHcOh2IHtbfDr38dxgQcEqESCAaL7VneSEfqx/gq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\n2pKNZHs7cvOt7WdSZRgyTSBXB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- "text": [ - "" - ] - } - ], - "prompt_number": 25 - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "And here is the final de-trended data:" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "daily['final_corrected'].plot()\n", - "plt.ylabel('corrected ridership')\n", - "print(\"rms = {0:.0f}\".format(np.std(daily['final_corrected'])))" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "rms = 509\n" - ] - }, - { - "metadata": {}, - "output_type": "display_data", - "png": 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axL59+8To0aNFd3e3EEKIgoICsWXLFtHd3S1mzZol3nrrLdN3cnE2bBBi7Fgh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\niNZW4Nln6bM3EgQvrowSxHn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JE7SKMpvEuYLNBoksQfDznZ3apAaYT2Zm8MUG0d6urdYC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\nYU+YMcP1xECGJyN1OPtW0FRMCnoEw1aQlETP91UbBOCbBNF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- "text": [ - "" - ] - } - ], - "prompt_number": 26 - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "What Can The Final Model Tell Us?" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now that we have this model, we can use it to answer some questions about bike ridership in Seattle.\n", - "\n", - "First we'll compute the error covariance, which contains the error bars on each of the parameters:" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "vy = np.sum((y - daily['final_trend']) ** 2) / len(y)\n", - "X2 = np.hstack([X, np.ones((X.shape[0], 1))])\n", - "C = vy * np.linalg.inv(np.dot(X2.T, X2))\n", - "var = C.diagonal()" - ], - "language": "python", - "metadata": {}, - "outputs": [], - "prompt_number": 27 - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Now we can answer some questions..." - ] - }, - { - "cell_type": "heading", - "level": 3, - "metadata": {}, - "source": [ - "How Does Rain Affect Ridership?" - ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "ind = columns.index('PRCP')\n", - "slope = final_model.coef_[ind]\n", - "error = np.sqrt(var[ind])\n", - "print(\"{0:.0f} +/- {1:.0f} daily crossings lost per inch of rain\".format(-slope, error))" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "828 +/- 79 daily crossings lost per inch of rain\n" - ] - } - ], - "prompt_number": 28 - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Our model shows that once all other factors are accounted for, **every inch of rain translates, on average, to about 800 cyclists staying home**. Not a surprising result, but it's interesting to see it quantified!" - ] - }, + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Is Seattle Really Seeing an Uptick in Cycling?" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "*This notebook originally appeared as a [post](http://jakevdp.github.io/blog/2014/06/10/is-seattle-really-seeing-an-uptick-in-cycling/) on the blog [Pythonic Perambulations](http://jakevdp.github.io). The content is BSD licensed.*" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "*Update: as I was putting the finishing touches on this notebook, I noticed [this post](http://www.seattlebikeblog.com/2014/06/09/a-statistical-analysis-of-biking-on-the-fremont-bridge-part-1-overview/), the first in a series on Seattle Bike Blog which analyzes much of the same data used here. Apparently great minds think alike! (incidentally, to prove that I'm not just cribbing that content, check the [github commit log](http://github.com/jakevdp/SeattleBike/commits/master): I wrote the bulk of this post several days before the SBB blog series was posted. Version control priority FTW!)*\n", + "\n", + "*Update #2: I added error bars to the estimates in the final section (should have done that from the beginning, I know...*" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n", + "Cycling in Seattle seems to be taking off. This can be seen qualitatively in the increased visibility of advocacy groups like [Seattle Neighborhood Greenways](http://seattlegreenways.org/) and [Cascade Bicycle Club](http://www.cascade.org/), the excellent reporting of sites like the [Seattle Bike Blog](http://www.seattlebikeblog.com/), and the investment by the city in high-profile traffic safety projects such as [Protected Bike Lanes](http://www.seattle.gov/transportation/PBL.htm), [Road diets/Rechannelizations](http://www.seattle.gov/transportation/pedestrian_masterplan/pedestrian_toolbox/tools_deua_diets.htm) and the [Seattle Bicycle Master Plan](http://www.seattle.gov/transportation/bikemaster.htm).\n", + "\n", + "But, qualitative arguments aside, there is also an increasing array of quantitative data available, primarily from the [Bicycle counters](http://www.seattle.gov/transportation/bikecounter.htm) installed at key locations around the city. The first was the [Fremont Bridge Bicycle Counter](http://www.seattle.gov/transportation/bikecounter_fremont.htm), installed in October 2012, which gives daily updates on the number of bicycles crossing the bridge: currently upwards of 5000-6000 per day during sunny commute days.\n", + "\n", + "Bicycle advocates have been [pointing out](http://www.seattlebikeblog.com/2014/05/14/fremont-bridge-smashes-bike-count-record-for-real-this-time-bike-use-rises-all-over-town/) the upward trend of the counter, and I must admit I've been excited as anyone else to see this surge in popularity of cycling (Most days, I bicycle 22 miles round trip, crossing both the Spokane St. and Fremont bridge each way).\n", + "\n", + "But anyone who looks closely at the data must admit: there is a large weekly and monthly swing in the bicycle counts, and people seem most willing to ride on dry, sunny summer days. Given the warm streak we've had in Seattle this spring, I wondered: **are we really seeing an increase in cycling, or can it just be attributed to good weather?**\n", + "\n", + "\n", + "\n", + "Here I've set-out to try and answer this question. Along the way, we'll try to deduce just how much the weather conditions affect Seattleites' transportation choices." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## A Quick Aside" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "If anyone is landing on this page via the normal bicycle advocacy channels, I should warn you that this won't look like a typical Seattle-bike-advocate blog post. I currently work as a data scientist at the [University of Washington eScience Institute](http://data.washington.edu/), where I'm incredibly fortunate to have the flexibility to spend a couple hours each week on side-projects like this. Most of my [blog posts](http://jakevdp.github.io) are pretty technical in nature: I tend to focus on statistical methods and visualization using the [Python](http://www.python.org) programming language.\n", + "\n", + "This post is composed in an [IPython notebook](http://ipython.org/notebook.html), which is a fully executable document which combines text, data, code, and visualizations all in one place. The nice thing is that anyone with a bit of desire and initiative could install the (free) IPython software on their computer and open this document, re-running and checking my results, and perhaps modifying my assumptions to see what happens. In a way, this post is as much about **how** to work with data as it is about **what** we learn from the data.\n", + "\n", + "In other words, this is an **entirely reproducible analysis**. Every piece of data and software used here is open and freely available to anyone who wants to use it. It's an example of the direction I think data journalism should go as it starts to more and more emulate data-driven scientific research.\n", + "\n", + "That said, there's a lot of technical stuff below. If you're not familiar with Python or other data analysis frameworks, don't be afraid to skip over the code and look at the plots, which I'll do my best to explain." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## The Data" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This post will use two datasets, which you can easily access with an internet connection. You can find the exact data I used in the [GitHub repository](https://github.com/jakevdp/SeattleBike), or access it from the original sources below.\n", + "\n", + "First, I'll be using the Fremont Bridge Hourly Bicycle Counts. To download this data, go to the [fremont bridge](https://data.seattle.gov/Transportation/Fremont-Bridge-Hourly-Bicycle-Counts-by-Month-Octo/65db-xm6k) page, and do the following (I accessed this on June 6th, 2014):\n", + "\n", + "- click \"export\"\n", + "- click \"download as CSV\"\n", + "\n", + "Second, I'll be using weather data available at the [National Climatic Data Center](http://www.ncdc.noaa.gov/). We'll use weather data from the SeaTac Airport weather station. To get this data, go to the [Climate Data Search](http://www.ncdc.noaa.gov/cdo-web/search?datasetid=GHCND) page and do the following (I accessed this on June 6th, 2014):\n", + "\n", + "- Choose \"Daily Summaries\"\n", + "- Choose 2012/10/1 to the present date\n", + "- Search for \"Station\", and type in \"USW00024233\" (ID for SeaTac Airport weather station)\n", + "- Click the icon on the map and \"Add to Cart\"\n", + "- go to \"Shopping Cart\"\n", + " \n", + " - make sure date range is 2012/10/1 to 2014/5/14\n", + " - choose Custom GHCN-Daily CSV\n", + " - click \"Continue\"\n", + " \n", + "- next page: click \"select all\"\n", + "- click \"continue\"\n", + "- enter email address and submit order\n", + "\n", + "When the data set is ready, you will get an email with a download link. It was about an hour wait when I did it." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Examining the Fremont Bridge Data" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The first thing we're going to do is load and examine the data from the Fremont bike counter. We'll use the [pandas](http://pandas.pydata.org/) package, a free and open source set of data analysis tools for the Python language." + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# some necessary imports\n", + "\n", + "%matplotlib inline\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "import pandas as pd" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# Load the data file, and create a column with total north/south traffic\n", + "\n", + "hourly = pd.read_csv(\"FremontHourly.csv\", index_col='Date', parse_dates=True)\n", + "hourly.columns = ['northbound', 'southbound']\n", + "hourly['total'] = hourly['northbound'] + hourly['southbound']" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# Resample the data into daily and weekly totals\n", + "\n", + "daily = hourly.resample('d').sum()\n", + "weekly = daily.resample('w').sum()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now let's take a peek at our data and see what it looks like:" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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v39+na05Mmcg9c+7p8vi9997LkSNHKCoq4oILLgDggw8+QAjBL3/5S775zW9y7733sm/f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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "weekly[['northbound', 'southbound', 'total']].plot()\n", + "plt.ylabel('Weekly riders');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The red line shows the total number of weekly crossings, which is the sum of the northbound and southbound crossings.\n", + "\n", + "At first glance, April and May 2014 include some spikes in the data: over 32,000 riders per week crossed the bridge one week in May! This trend might be a bit clearer if we use a **moving window average**: basically, for each day we'll take the average of the 30-day period around it:" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ { - "cell_type": "heading", - "level": 3, + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 5, "metadata": {}, - "source": [ - "How Does Temperature Affect Ridership?" - ] + "output_type": "execute_result" }, { - "cell_type": "markdown", + "data": { + "image/png": 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JpLvi+crl8zmjOD3MpRpFTcAYU2eM2WZvdwFvAacbz3QN8IgxZsAYcwQ4CJwj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\ntpOr7no58Dg7OYEFeSlcc2Y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+ "text/plain": [ + "" + ] + }, "metadata": {}, - "source": [ - "For temperature, we have to be more careful. The minimum and maximum temperature will be highly correlated, so we should average the trends between the two:" + "output_type": "display_data" + } + ], + "source": [ + "#pd.stats.moments.rolling_mean(daily['total'], 30).plot();\n", + "#New Syntax\n", + "daily['total'].rolling(window=30, center=False).mean().plot()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This is the increased ridership that folks have been talking about. There is some seasonal variation, but the trend seems clear: 2014 has seen a lot of cyclists crossing the bridge.\n", + "\n", + "But it is clear that there is still some seasonal variation. What we're going to try to do below is to **model this variation** based on our intuition about what factors might come into play in people's decision about whether to ride.\n", + "\n", + "For simplicity, I'm going to stick with a **linear model** here. It would be possible to go deeper and use a more sophisticated model (I'd eventually like to try Random Forests), but a linear model should give us a good approximation of what's happening." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Step 1: Accounting for hours of daylight" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The largest component of the variation we see is a seasonal swing. I'm going to hypothesize that that swing is at least partially due to the changing daylight hours. We'll compute the number of hours of daylight and use this to de-trend the data.\n", + "\n", + "Fortunately, my PhD is in Astronomy, so I once-upon-a-time learned how to compute this:" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# Define a function which returns the hours of daylight\n", + "# given the day of the year, from 0 to 365\n", + "\n", + "def hours_of_daylight(date, axis=23.44, latitude=47.61):\n", + " \"\"\"Compute the hours of daylight for the given date\"\"\"\n", + " diff = date - pd.datetime(2000, 12, 21)\n", + " day = diff.total_seconds() / 24. / 3600\n", + " day %= 365.25\n", + " m = 1. - np.tan(np.radians(latitude)) * np.tan(np.radians(axis) * np.cos(day * np.pi / 182.625))\n", + " m = max(0, min(m, 2))\n", + " return 24. * np.degrees(np.arccos(1 - m)) / 180.\n", + "\n", + "# add this to our weekly data\n", + "\n", + "#weekly['daylight'] = map(hours_of_daylight, weekly.index)\n", + "#daily['daylight'] = map(hours_of_daylight, daily.index)\n", + "\n", + "#New Syntax\n", + "weekly['daylight'] = weekly.index.map(lambda x: hours_of_daylight(x))\n", + "daily['daylight'] = daily.index.map(lambda x: hours_of_daylight(x))" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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ZUVDCJcNT6RtkW+yFm7mTMqltauX17VZywinPFxQzLK0nYzJC579BTxaU1ajq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\nAmOMCXOWCIwxJsxZIjDGmDD3/wGPxfh730tqPAAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Plot the daylight curve\n", + "\n", + "weekly['daylight'].plot()\n", + "plt.ylabel('hours of daylight (Seattle)');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This looks reasonable: just over 8 hours of daylight in December, and just under 16 hours in June.\n", + "\n", + "To get a feel for the trend, let's plot the daylight hours versus the weekly bicycle traffic:" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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zOh4H7ml63b2pbDwdt5Zvck5ErCdb7HLHdm8q6XhJk5ImH3rooRlXeskB45z6\n2hdt0r3TeNzO9lvPKWV29rDefMtcNdnM+quyRH1EhKTCWxUd3usM4AzIthOezTU6tSbaJajf/0f7\nlNJyqFtSvyhee8tsePS7pfKApF0A0vcHU/kUsFvT656TyqbScWv5JudI2hLYDvhpaTVvI0+CusjE\nelVrY5XNa2+ZDY9+t1QuAo4BlqfvX20q/5ykj5Al6vcAro2IDZIelXQQWaL+aODjLdf6PnAksLKM\nfMp0uuVDik6s13XJ+iJ4eRaz4VBaUJH0ebKk/E6S7gXeTxZMzpd0LHA38DqAiLhZ0vnALcB64G1p\n5BfAW8lGko2RJegvSeVnAuekpP7PyEaP1UoZiXXffM2szsoc/fX6Dk8d2uH1JwMntymfJNt1srX8\nV8Bre6lj2YY1sW5m1onX/iqRRzWZ2ahxUCnRsCbWzcw68dpfJRrmxLqZWTsOKgXothiiE+tmNkoc\nVHpU5/W4zMz6zTmVHnnXQzOzjRxUeuRhw2ZmGzmo9MjDhs3MNnJQ6ZGHDZuZbeREfY88bNjMbCMH\nlZw8bNjMbHoOKjl42LCZWT7OqeTgYcNmZvk4qOTgYcNmZvm4+yuHorbx7ZaXMTMbBm6p5NBu2LCA\ng18wL/c1GnmZqbWPE2zMy/SyvbCZWd04qOSw5IBx/njhOGoqC+BLq6ZyBwXnZcxsFDio5HTFbQ8R\nLWUzCQrOy5jZKHBQyanXoODlXMxsFDio5NRrUPByLmY2ChxUcuo1KCw5YJxTjtiP8bljCBifO8Yp\nR+zn0V9mNlQ8pDinItb48nIuZjbsHFRmwEHBzKw7d3+ZmVlhHFTMzKwwDipmZlYYBxUzMytMJUFF\n0l2SbpS0WtJkKttB0mWS7kjft296/YmS1ki6XdJhTeUL03XWSDpNktq9X5EuvH6KRctXsvuyr7No\n+Uqv3WVm1qTKlsrBEbF/REykx8uAyyNiD+Dy9BhJewNLgX2Aw4F/ldSYMHI6cBywR/o6vMwKe1FI\nM7Pu6tT9tRg4Kx2fBSxpKv9CRDwREXcCa4ADJe0CbBsRV0dEAGc3nVMKLwppZtZdVUElgG9JWiXp\n+FS2c0Tcl47vB3ZOx+PAPU3n3pvKxtNxa3lpvCikmVl3VU1+fGlETEl6NnCZpNuan4yIkNS6KPCs\npcB1PMD8+fNnfZ2iNusyMxtWlbRUImIqfX8Q+ApwIPBA6tIifX8wvXwK2K3p9Oeksql03Fre7v3O\niIiJiJjMaCRCAAAIGElEQVSYNy//xlqtvCikmVl3fQ8qkp4paZvGMfD7wE3ARcAx6WXHAF9NxxcB\nSyVtJWl3soT8tamr7FFJB6VRX0c3nVMKLwppZtZdFd1fOwNfSaN/twQ+FxHfkPQD4HxJxwJ3A68D\niIibJZ0P3AKsB94WEY1s+VuBFcAYcEn6KpXX/zIz60zZwKnRMTExEZOTk1VXw8xsoEha1TQFpKM6\nDSk2M7MB56BiZmaFcVAxM7PCOKiYmVlhRi5RL+khstFl7ewE/KSP1Zkp1683rl/v6l5H16833er3\n3IiYdqLfyAWVbiRN5hndUBXXrzeuX+/qXkfXrzdF1M/dX2ZmVhgHFTMzK4yDyqbOqLoC03D9euP6\n9a7udXT9etNz/ZxTMTOzwrilYmZmhXFQASS9S9LNkm6S9HlJz6i6Ts0kvSPV7WZJ76y6PgCSPi3p\nQUk3NZXtIOkySXek79vXrH6vTf+GT0qqdAROh/qdKuk2ST+U9BVJc2tWv39IdVst6ZuSdq2qfp3q\n2PTcuyWFpJ2qqFuqQ7t/w5MkTaV/w9WSXlWn+qXyt6ffw5sl/fNMrzvyQUXSOPBXwERE7AtsASyt\ntlYbSdoXOI5sz5kXAX8o6fnV1grIVoc+vKVsGXB5ROwBXJ4eV2UFm9fvJuAI4Mq+12ZzK9i8fpcB\n+0bEC4H/Ak7sd6WarGDz+p0aES+MiP2BrwH/t++12tQKNq8jknYj21Ljf/pdoRYraFM/4KMRsX/6\nurjPdWq2gpb6STqYbAv3F0XEPsCHZnrRkQ8qyZbAmKQtga2BH1dcn2b/C7gmIn4ZEeuB75DdGCsV\nEVcCP2spXgyclY7PApb0tVJN2tUvIm6NiNsrqtImOtTvm+n/GOBqNt2Erq861O/RpofPJNsWvDId\nfgcBPgr8LfWtXy10qN9fAMsj4on0mgc3O3EaIx9U0i6UHyL7VHMf8EhEfLPaWm3iJuBlknaUtDXw\nKjbdCbNOdk6bpwHcT7Z3js3Om+nD/kAzJelkSfcAb6D6lspmJC0GpiLihqrr0sXbUzfip6vsIu5g\nT7L7zTWSviPpJTO9wMgHlfSfuhjYHdgVeKakP622VhtFxK3AB4FvAt8AVgMbup5UA5ENK/TQwlmQ\n9D6yDenOrbourSLifRGxG1nd/rLq+jRLH7reSw2DXZPTgd8E9if7EPvhaquzmS2BHYCDgBPINk7U\nTC4w8kEFeAVwZ0Q8FBHrgC8Dv1NxnTYREWdGxMKI+F3gYbL+9jp6QNIuAOn7jJvOo07SnwF/CLwh\n6j3e/1zgj6uuRIvnkX04vEHSXWTdh9dJ+o1Ka9UkIh6IiA0R8STwKbJcaZ3cC3w5MtcCT5KtB5ab\ng0rW7XWQpK1TRD4UuLXiOm1C0rPT9/lk+ZTPVVujji4CjknHxwBfrbAuA0fS4WS5gFdHxC+rrk8r\nSXs0PVwM3FZVXdqJiBsj4tkRsSAiFpDdIF8cEfdXXLWnND50Ja8h696ukwuBgwEk7Qk8nZkugBkR\nI/8FfIDsD+Qm4Bxgq6rr1FK/7wK3ADcAh1Zdn1Snz5M139eR/fEeC+xINurrDuBbwA41q99r0vET\nwAPApTWr3xrgHrIuztXAJ2tWvy+lv5EfAv8BjNftd7Dl+buAnepUv3R/uTH9G14E7FKz+j0d+Gz6\nf74OOGSm1/WMejMzK4y7v8zMrDAOKmZmVhgHFTMzK4yDipmZFcZBxczMCuOgYpakFWT/ZpbnrpB0\nZDr+d0l75319S/kCSX/S4ZyXS/rabOpn1i8OKmYFi4j/ExG3zPL0BUDboFKWtJCqWSEcVGykSXqf\npP+S9D1gr6by4yT9QNINkr6UVlzYRtKdkuak12zb/Ljp3G839muRdGy6/rWSPiXpE00v/V1J/ynp\nR02tluVkC/qtlvSuNlV+lqQL0n4X5zbWZZJ0qKTrJd2YFircKpXf1dhTRNKEpG+n45MknSPpKuAc\nSfukOq5Oix3u0ea9zabloGIjS9JCsr1z9idb/bl5RdYvR8RLIuJFZMv2HBsRjwHfBv4gvWZpet26\nDtffFfh7ssX5FgEvaHnJLsBLydb6Wp7KlgHfjWyvjY+2uewBwDuBvckWJlykbFO5FcBREbEf2aKA\nf5Hjn2Bv4BUR8XrgLcDHItsrZYJshrXZjDmo2Ch7GfCVyPaqeZRs2YyGfSV9V9KNZMu875PK/x14\nUzp+E/CZLtc/EPhORPwsBZ4vtjx/YUQ8mbrK8m4TcG1E3BvZgoSrybrL9iJbFLWx0OhZwO/muNZF\nEfF4Ov4+8F5J7wGe21RuNiMOKmbtrQD+Mn3y/wDwDICIuApYIOnlwBYR0cuCgE80HeddXrz5nA1k\nrZJu1rPx77x1m+xfNA4i4nPAq4HHgYslHZKzPmabcFCxUXYlsETSmKRtgD9qem4b4L6UL3lDy3ln\nk60U3a2VAvAD4PckbZ+S4XmWin8svfdM3E4W6BrbTL+RbIdQyBZVXJiOO76/pN8EfhQRp5GtLv3C\nGdbBDHBQsREWEdcB55Gt/nwJWRBo+HvgGuAqNl/i/Vxge7JVXrtdfwr4J+DadJ27gEemqdYPgQ1p\ngEC7RH279/kVWVfcF1N33ZPAJ9PTHwA+JmmS7pu7vQ64SdJqYF+ywGk2Y16l2GyG0kitxRHxxhyv\nfVZE/Dy1VL4CfDoivlJ6Jc0q4vHpZjMg6ePAK8lGi+VxkqRXkOUzvkm2CZLZ0HJLxczMCuOcipmZ\nFcZBxczMCuOgYmZmhXFQMTOzwjiomJlZYRxUzMysMP8fmmx7q3QYo8wAAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.scatter(weekly['daylight'], weekly['total'])\n", + "plt.xlabel('daylight hours')\n", + "plt.ylabel('weekly bicycle traffic');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We see a clear trend, though it's also apparent from the wide vertical scatter that other effects are at play.\n", + "\n", + "Let's apply a linear fit to this data. Basically, we'll draw a best-fit line to the points using some convenient tools in the [scikit-learn](http://scikit-learn.org) package, which I've been active in developing:" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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QoEGsWLGC0047jZ49e3L88cfHfK5U8qDinMsIZU1pX95DPJpjB7zx7XYBpciq9VsYdEnL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\n5s1jPldlGaeRzNJArP9mKst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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from sklearn.linear_model import LinearRegression\n", + "\n", + "X = weekly[['daylight']].to_dense()\n", + "y = weekly['total']\n", + "clf = LinearRegression(fit_intercept=True).fit(X, y)\n", + "\n", + "weekly['daylight_trend'] = clf.predict(X)\n", + "weekly['daylight_corrected_total'] = weekly['total'] - weekly['daylight_trend'] + weekly['daylight_trend'].mean()\n", + "\n", + "xfit = np.linspace(7, 17)\n", + "yfit = clf.predict(xfit[:, None])\n", + "plt.scatter(weekly['daylight'], weekly['total'])\n", + "plt.plot(xfit, yfit, '-k')\n", + "plt.title(\"Bicycle traffic through the year\")\n", + "plt.xlabel('daylight hours')\n", + "plt.ylabel('weekly bicycle traffic');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Once such a linear model is fit, we can look at the model coefficients to see, on average, how the change in one variable affects the change in another:" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "2056.44964989\n" ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "ind1, ind2 = columns.index('TMIN'), columns.index('TMAX')\n", - "slope = final_model.coef_[ind1] + final_model.coef_[ind2]\n", - "error = np.sqrt(var[ind1] + var[ind2])\n", - "print('{0:.0f} +/- {1:.0f} riders per ten degrees Fahrenheit'.format(10 * slope, 10 * error))" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "246 +/- 63 riders per ten degrees Fahrenheit\n" - ] - } - ], - "prompt_number": 29 - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We see that for every increase of ten degrees, we add around 250 crossings on the Fremont bridge!" + } + ], + "source": [ + "print(clf.coef_[0])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This tells us that according to this model, each extra hour of daylight leads to about 2000 more riders per week across the bridge! Of course, in Seattle the length of the day also correlates highly with temperature and precipitation; we'll try to untangle those effects later." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now that we have fit this trend, let's subtract it off and replace it by the mean:" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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jvb29zc5G6qqNXYHoP1gzG11L5VGU7krYPbiLe6Ye0bC8ueYo9TfRn7/TRnYJ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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "trend = clf.predict(weekly[['daylight']].as_matrix())\n", + "plt.scatter(weekly['daylight'], weekly['total'] - trend + np.mean(trend))\n", + "plt.plot(xfit, np.mean(trend) + 0 * yfit, '-k')\n", + "plt.title(\"weekly traffic (detrended)\")\n", + "plt.xlabel('daylight hours')\n", + "plt.ylabel('adjusted weekly count');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This is what I mean by \"de-trended\" data. We've basically removed the component of the data which correlates with the number of hours in a day, so that what is left is in some way agnostic to this quantity. The \"adjusted weekly count\" plotted here can be thought of as the number of cyclists we'd expect to see if the hours of daylight were not a factor.\n", + "\n", + "Let's visualize this another way. Instead of plotting the number of riders vs daylight hours, we'll again plot the number of riders vs the day of the year, along with the trend:" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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PikFaXBRuj6S6yX+gVygoo6Lo8+yvaKCwsokThqVhMgnyUmPZW1bf08tSKHoFDXqiHjSl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\n9OuZ/h6GoihKt/hLqBxrjCkQkRTgfRHZ0PKkMcaIiOmkb4+xhdajADk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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "weekly[['total', 'daylight_trend']].plot()\n", + "plt.ylabel(\"total weekly riders\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can similarly view the adjusted total number of riders over time by subtracting this green line from the blue line:" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "root-mean-square about trend: 3100 riders\n" ] }, { - "cell_type": "heading", - "level": 3, + "data": { + "image/png": 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n0tMcdHxPK8lTiSWdEvV2SXGieEAX5FZ/LbynsrPC72c1w9E4F6xu4YUTkxwf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\nco5/rauAHzvtx6gRfKFixSQNo3oo2WoVkXuBrUCXiPQDtwGfB+4TkZu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+ "text/plain": [ + "" + ] + }, "metadata": {}, - "source": [ - "How Does Daylight Affect Ridership?" + "output_type": "display_data" + } + ], + "source": [ + "weekly['daylight_corrected_total'].plot()\n", + "rms = np.std(weekly['daylight_corrected_total'])\n", + "plt.ylabel(\"adjusted total weekly riders\")\n", + "print(\"root-mean-square about trend: {0:.0f} riders\".format(rms))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "With the data de-trended, we get a better idea of how bicycling in Seattle has changed over time, corrected for the seasonal variation." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Accounting for Day of the Week" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Above we've been looking at weekly data. This is because daily data shows a clear swing as a function of the day of the week, which we'll show here." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "days = ['Mon', 'Tues', 'Wed', 'Thurs', 'Fri', 'Sat', 'Sun']\n", + "daily['dayofweek'] = daily['total'].index.dayofweek" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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32LdrDSWV24EHwvVTgKA2ASwMtzXIzLaa2Yrw/QFgPZBjZs+aWWW422Igt6Hz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\nGk8qzjnnWo0nFeecc63Gk4pzzrlW8/8DiTEwZez36V8AAAAASUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "grouped = daily.groupby('dayofweek')['total'].mean()\n", + "grouped.index = days\n", + "\n", + "grouped.plot()\n", + "plt.title(\"Average Traffic By Day\")\n", + "plt.ylabel(\"Average Daily Crossings\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "As you might expect in a city of bicycle commuters, there is roughly 2.5 times the amount of traffic on weekdays as there is on weekends. Bicycles are not just for entertainment! In Seattle, at least, they are a real means of commuting for thousands of people per day, and the data show this clearly.\n", + "\n", + "Let's de-trend the daily bike counts based on the daily totals. We'll add a variable for each day of the week, and use each of these within the trend (this is an example of what's sometimes known as \"one-hot\" encoding)." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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JHBWZA+P0jWTXnEYjBLI5BeMVjwVt5l6nM7uP/CejCQ1iaKzCU1tHpjzWMruI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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Add one-hot indicators of weekday\n", + "for i in range(7):\n", + " daily[days[i]] = (daily.index.dayofweek == i).astype(float)\n", + "\n", + "# de-trend on days of the week and daylight together\n", + "X = daily[days + ['daylight']]\n", + "y = daily['total']\n", + "clf = LinearRegression().fit(X, y)\n", + "\n", + "daily['dayofweek_trend'] = clf.predict(X)\n", + "daily[['total', 'dayofweek_trend']].plot();" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This shows all the daily bicycle counts (in blue) along with the best-fit trend based on the day of the week and the number of daylight hours per day. It's more clear if we plot the de-trended data:" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "rms = 698\n" ] }, { - "cell_type": "code", - "collapsed": false, - "input": [ - "ind = columns.index('daylight')\n", - "slope = final_model.coef_[ind]\n", - "error = np.sqrt(var[ind])\n", - "print(\"{0:.0f} +/- {1:.0f} daily crossings gained per hour of daylight\".format(slope, error))" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "127 +/- 14 daily crossings gained per hour of daylight\n" - ] - } - ], - "prompt_number": 30 - }, - { - "cell_type": "markdown", + "data": { + "image/png": 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LjVcSUm+0Z03kgoy3suAkrePah9bhLT94CPmy4+fiMVigSXiCj5gT8A17BkJz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\nSUVORK5CYII=\n", + "text/plain": [ + "" + ] + }, "metadata": {}, - "source": [ - "We see that, once the effects of rain and temperature are removed, each hour of daylight results in about 125 more crossings at the Fremont Bridge. This is fewer than the ~2000/week (~300/day) that we saw above: this is because our first model did not include precipitation and temperature: apparently the weather is far more important than the darkness in affecting ridership!" + "output_type": "display_data" + } + ], + "source": [ + "daily['dayofweek_corrected'] = (daily['total'] - daily['dayofweek_trend'] + daily['dayofweek_trend'].mean())\n", + "print(\"rms = {0:.0f}\".format(np.std(daily['dayofweek_corrected'])))\n", + "daily['dayofweek_corrected'].plot();" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now we're getting somewhere! What we're seeing here is the number of bicycle crossings per day, corrected for the daily and annual trends. In other words, this is what we might expect the data to look like if the day of the week and the hours of light per day did not matter.\n", + "\n", + "Let's continue on this line of reasoning, and add some more information to the model." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Accounting for Temperature and Precipitation" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Next we'll account for the NCDC climate data that was described above. The data includes the daily maximum and minimum temperatures, as well as the amount of recorded rainfall at SeaTac airport, about 15 miles to the south. Let's take a look at this data:" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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48QrAwNalGkF07IhrFrJJHaE9CcDTrDxzin7OEueahnoqZXu0WNwVf4WGGnjp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\ngcFgMIxz/j8GTk3mpSGgPwAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Read the weather file\n", + "weather = pd.read_csv('SeaTacWeather.csv', index_col='DATE', parse_dates=True, usecols=[2, 3, 6, 7])\n", + "\n", + "# temperatures are in 1/10 deg C; convert to F\n", + "weather['TMIN'] = 0.18 * weather['TMIN'] + 32\n", + "weather['TMAX'] = 0.18 * weather['TMAX'] + 32\n", + "\n", + "# precip is in 1/10 mm; convert to inches\n", + "weather['PRCP'] /= 254\n", + "\n", + "#weather['TMIN'].resample('w', 'min').plot()\n", + "#weather['TMAX'].resample('w', 'max').plot()\n", + "\n", + "#New Syntax\n", + "weather['TMIN'].resample('w').min().plot()\n", + "weather['TMAX'].resample('w').max().plot()\n", + "plt.ylabel('Weekly Temperature Extremes (F)');\n", + "plt.title(\"Temperature Extremes in Seattle\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This shows the maximum and minimum temperatures in Seattle. They vary in ways you might expect. For example, you can easily see the late 2013 freeze that killed my artichoke plants last year.\n", + "\n", + "Now let's look at precipitation:" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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zG6Fua3j4ZsDPDPbOhqLN+uwEr7LMYqXW8Px1DllzspOrdA4x858DqAIAMxdh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\nl8yZwHfOnsRjaz7kwT+1kOeXmHffGhrdtLrlAM0Tq8gP+Dh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P45t8FCep1XacCJxWt0wL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\nhpEj/D9OjXHEMa3u9AAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#weather['PRCP'].resample('w', 'sum').plot();\n", + "\n", + "#New Syntax\n", + "weather['PRCP'].resample('w').sum().plot();\n", + "\n", + "plt.ylabel('Weekly precipitation (in)')\n", + "plt.title(\"Precipitation in Seattle\");" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The precipitation is also as you might expect. Almost none in the summer months, and up to about 4 inches per week in the rainiest parts of the year. \n", + "\n", + "What we do next will start to look very familiar: we'll add the climate information to our original daily dataset, and then use a linear model to de-trend the data with this new information." + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "# join the weather data to our daily data\n", + "daily = daily.join(weather)" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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qAKb3PYVfMFt1f5fdCIH32P0+DAxi+oz/cfeXcDjGR13NzL93yLSqP7t2DwCz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\nWnm5YrU3paQaatkBbr+ZLPDzPnAMcKUunrv3Z8D3/6a0S68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kOo9SwnyenEfF5wnGcGr3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\nJ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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "columns = days + ['daylight', 'TMIN', 'TMAX', 'PRCP']\n", + "\n", + "X = daily[columns]\n", + "y = daily['total']\n", + "clf = LinearRegression().fit(X, y)\n", + "daily['overall_trend'] = clf.predict(X)\n", + "\n", + "# Plot the overall trend\n", + "daily[['total', 'overall_trend']].plot()\n", + "plt.ylabel('Daily bicycle traffic');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This shows the data along with the overall trend, accounting for precipitation and temperature extremes. Let's de-trend the data with this model and see what's left over:" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "rms = 520\n" ] }, { - "cell_type": "heading", - "level": 3, + "data": { + "image/png": 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2Vv8x31gSzUwdhvooMzPmrtoWKfJKtNHm9jzyhhJtFaBBhSn+QiikEoRsqhBt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\n", + "text/plain": [ + "" + ] + }, "metadata": {}, - "source": [ - "Is Ridership Increasing?" + "output_type": "display_data" + } + ], + "source": [ + "daily['overall_corrected'] = daily['total'] - daily['overall_trend'] + daily['overall_trend'].mean()\n", + "print(\"rms = {0:.0f}\".format(np.std(daily['overall_corrected'])))\n", + "daily['overall_corrected'].plot()\n", + "plt.ylabel('corrected daily bicycle traffic');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "From the reduced RMS, we can see that our model does a fairly good job capturing the trends. But there's still some daily variation that it cannot account for. We could think about what this might be, and try to capture it with more inputs to the model. For example, a person's choice to ride might be affected not just by the weather today, but by the weather yesterday. We also could account for freezing temperatures, which may manifest as a nonlinear effect.\n", + "\n", + "In order to better see the remaining trend, let's plot a month-long moving-window average over the corrected data:" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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aJkuIZad0zZyPj43hDjvno7w+esKKe8LRPIayoi4Y4WE4jPB2+Ljn7Z1c8pcP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\nYou3ZtshKkuLODfBJG5s3+sxgyoYO7iSay8Yxp0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Nex5pJmmEpKWS1ofFTJ8O5f0kPR/S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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#pd.stats.moments.rolling_mean(daily['overall_corrected'], 30).plot()\n", + "\n", + "#New Syntax\n", + "daily['overall_corrected'].rolling(window=30).mean().plot()\n", + "\n", + "plt.ylabel('Corrected daily bicycle traffic')\n", + "plt.title('1-month Moving Window Average');" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "This is similar to the moving window we used above, exept we are using de-trended data. What we see is that even after correcting for the length of day, the temperature, the precipitation, and the weekly trends, we still see a huge spike of riders in May 2014.\n", + "\n", + "I want to remark on one interesting feature: the detrended data hits a low-point in July 2013. This does not mean there were fewer riders in that month, but that there were **fewer riders than the model would expect** given the weather, hours of daylight, and day of the week. This points to the existence of other factors that we've not taken into account. Perhaps the average weather in a given time period affects people's decisions: that is, a warm day in January brings everyone out, while a warm day in July is so unexceptional that people leave their bike in the garage. It would be interesting to do a more detailed analysis and try to eke-out this type of information.\n", + "\n", + "Nevertheless, if you look at this plot and squint, you can also see what looks like a steady upward trend from left to right. Let's see if we can quantify this." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Accounting for a Steady Increase or Decrease of Riders" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "As a final model, we'll add-in the day index to allow our model to account for an overall increase or decrease in the number of riders with time:" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "daily['daycount'] = np.arange(len(daily))\n", + "\n", + "columns = days + ['daycount', 'daylight', 'TMIN', 'TMAX', 'PRCP']\n", + "X = daily[columns]\n", + "y = daily['total']\n", + "final_model = LinearRegression().fit(X, y)\n", + "daily['final_trend'] = final_model.predict(X)\n", + "\n", + "daily['final_corrected'] = daily['total'] - daily['final_trend'] + daily['final_trend'].mean()" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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EyOz9zMy6jODNP3I3bGfladRhjzoSqJp/oE8JHAASyJ3Q3hx0DEIZdY7hgIxupW2kKqzU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\nWMD4/wFxKy57/1+dcQAAAABJRU5ErkJggg==\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "daily['total'].plot()\n", + "daily['final_trend'].plot();" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "And here is the final de-trended data:" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "rms = 509\n" ] }, { - "cell_type": "markdown", + "data": { + "image/png": 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+qyILj0I+F5VsnsG2yCuCmEpYXpFDvcNcH20FAGcdPAljh6SD9X/4PSi1cGbU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\n8ujbeOB115o5urG0QS5YGDFotgLizKqiNY/ubD5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+ "text/plain": [ + "" + ] + }, "metadata": {}, - "source": [ - "Finally, let's try to answer the question we started out with: after correcting for all the above effects, is ridership increasing in Seattle?" + "output_type": "display_data" + } + ], + "source": [ + "daily['final_corrected'].plot()\n", + "plt.ylabel('corrected ridership')\n", + "print(\"rms = {0:.0f}\".format(np.std(daily['final_corrected'])))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## What Can The Final Model Tell Us?" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now that we have this model, we can use it to answer some questions about bike ridership in Seattle.\n", + "\n", + "First we'll compute the error covariance, which contains the error bars on each of the parameters:" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": { + "collapsed": true + }, + "outputs": [], + "source": [ + "vy = np.sum((y - daily['final_trend']) ** 2) / len(y)\n", + "X2 = np.hstack([X, np.ones((X.shape[0], 1))])\n", + "C = vy * np.linalg.inv(np.dot(X2.T, X2))\n", + "var = C.diagonal()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Now we can answer some questions..." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### How Does Rain Affect Ridership?" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "828 +/- 79 daily crossings lost per inch of rain\n" ] - }, - { - "cell_type": "code", - "collapsed": false, - "input": [ - "ind = columns.index('daycount')\n", - "slope = final_model.coef_[ind]\n", - "error = np.sqrt(var[ind])\n", - "print(\"{0:.2f} +/- {1:.2f} new riders per day\".format(slope, error))\n", - "print(\"{0:.1f} +/- {1:.1f} new riders per week\".format(7 * slope, 7 * error))\n", - "print(\"annual change: ({0:.0f} +/- {1:.0f})%\".format(100 * 365 * slope / daily['total'].mean(),\n", - " 100 * 365 * error / daily['total'].mean()))" - ], - "language": "python", - "metadata": {}, - "outputs": [ - { - "output_type": "stream", - "stream": "stdout", - "text": [ - "0.63 +/- 0.12 new riders per day\n", - "4.4 +/- 0.8 new riders per week\n", - "annual change: (10 +/- 2)%\n" - ] - } - ], - "prompt_number": 31 - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "By looking at the slope of the daily trend, we see that there are 4.4 new riders per week crossing the Fremont bridge: nearly one new rider per work day! This translates to about **10% growth in bike ridership over the past year, once we correct for all the other effects described above.**\n", - "\n", - "Good news for bicycling in Seattle!" + } + ], + "source": [ + "ind = columns.index('PRCP')\n", + "slope = final_model.coef_[ind]\n", + "error = np.sqrt(var[ind])\n", + "print(\"{0:.0f} +/- {1:.0f} daily crossings lost per inch of rain\".format(-slope, error))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Our model shows that once all other factors are accounted for, **every inch of rain translates, on average, to about 800 cyclists staying home**. Not a surprising result, but it's interesting to see it quantified!" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### How Does Temperature Affect Ridership?" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "For temperature, we have to be more careful. The minimum and maximum temperature will be highly correlated, so we should average the trends between the two:" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "246 +/- 63 riders per ten degrees Fahrenheit\n" ] - }, - { - "cell_type": "heading", - "level": 2, - "metadata": {}, - "source": [ - "Conclusion" + } + ], + "source": [ + "ind1, ind2 = columns.index('TMIN'), columns.index('TMAX')\n", + "slope = final_model.coef_[ind1] + final_model.coef_[ind2]\n", + "error = np.sqrt(var[ind1] + var[ind2])\n", + "print('{0:.0f} +/- {1:.0f} riders per ten degrees Fahrenheit'.format(10 * slope, 10 * error))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We see that for every increase of ten degrees, we add around 250 crossings on the Fremont bridge!" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### How Does Daylight Affect Ridership?" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "127 +/- 14 daily crossings gained per hour of daylight\n" ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "Is Seattle really seeing an uptick in cycling? The answer appears to be yes: **corrected for seasonal and climate effects, Seattle's Fremont bridge is seeing, on average, about one new bicycle commuter each work day**, and that trend reflects the entire year-and-a-half that the city has been collecting data. Along the way, we saw how rain, temperature, and daylight affect the choices of Seattle's bicycling community.\n", - "\n", - "This has been an exploration of available cycling data using an incredibly simple linear model based on daily climate trends. This just scrapes the surface, and uses an extremely simplistic linear model to find some broad-brush results. It's clear from the ~500 rider RMS that there are still some factors I've left out: perhaps seasonal effects like Bike-to-work month (happening each May) and summer vacation times have some effect. My hunch is that the difference in weather from one day to the next might be more important than the weather isolated on any given day; we've not taken that into account. Most notably, nonlinear effects might play a role (for example, the trend for cold + precipitation might outweigh the trend for cold and the trend for rain considered separately) but nevertheless, I think these are some interesting results despite the shortcuts taken in the analysis.\n", - "\n", - "Thanks for reading!\n", - "\n", - "\n", - "This post was written entirely in the IPython notebook. You can\n", - "[download](http://jakevdp.github.io/downloads/notebooks/SeattleCycling.ipynb)\n", - "this notebook, or see a static view\n", - "[here](http://nbviewer.ipython.org/url/jakevdp.github.io/downloads/notebooks/SeattleCycling.ipynb).\n", - "" + } + ], + "source": [ + "ind = columns.index('daylight')\n", + "slope = final_model.coef_[ind]\n", + "error = np.sqrt(var[ind])\n", + "print(\"{0:.0f} +/- {1:.0f} daily crossings gained per hour of daylight\".format(slope, error))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We see that, once the effects of rain and temperature are removed, each hour of daylight results in about 125 more crossings at the Fremont Bridge. This is fewer than the ~2000/week (~300/day) that we saw above: this is because our first model did not include precipitation and temperature: apparently the weather is far more important than the darkness in affecting ridership!" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Is Ridership Increasing?" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Finally, let's try to answer the question we started out with: after correcting for all the above effects, is ridership increasing in Seattle?" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.63 +/- 0.12 new riders per day\n", + "4.4 +/- 0.8 new riders per week\n", + "annual change: (10 +/- 2)%\n" ] } ], - "metadata": {} + "source": [ + "ind = columns.index('daycount')\n", + "slope = final_model.coef_[ind]\n", + "error = np.sqrt(var[ind])\n", + "print(\"{0:.2f} +/- {1:.2f} new riders per day\".format(slope, error))\n", + "print(\"{0:.1f} +/- {1:.1f} new riders per week\".format(7 * slope, 7 * error))\n", + "print(\"annual change: ({0:.0f} +/- {1:.0f})%\".format(100 * 365 * slope / daily['total'].mean(),\n", + " 100 * 365 * error / daily['total'].mean()))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "By looking at the slope of the daily trend, we see that there are 4.4 new riders per week crossing the Fremont bridge: nearly one new rider per work day! This translates to about **10% growth in bike ridership over the past year, once we correct for all the other effects described above.**\n", + "\n", + "Good news for bicycling in Seattle!" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Conclusion" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Is Seattle really seeing an uptick in cycling? The answer appears to be yes: **corrected for seasonal and climate effects, Seattle's Fremont bridge is seeing, on average, about one new bicycle commuter each work day**, and that trend reflects the entire year-and-a-half that the city has been collecting data. Along the way, we saw how rain, temperature, and daylight affect the choices of Seattle's bicycling community.\n", + "\n", + "This has been an exploration of available cycling data using an incredibly simple linear model based on daily climate trends. This just scrapes the surface, and uses an extremely simplistic linear model to find some broad-brush results. It's clear from the ~500 rider RMS that there are still some factors I've left out: perhaps seasonal effects like Bike-to-work month (happening each May) and summer vacation times have some effect. My hunch is that the difference in weather from one day to the next might be more important than the weather isolated on any given day; we've not taken that into account. Most notably, nonlinear effects might play a role (for example, the trend for cold + precipitation might outweigh the trend for cold and the trend for rain considered separately) but nevertheless, I think these are some interesting results despite the shortcuts taken in the analysis.\n", + "\n", + "Thanks for reading!\n", + "\n", + "\n", + "This post was written entirely in the IPython notebook. You can\n", + "[download](http://jakevdp.github.io/downloads/notebooks/SeattleCycling.ipynb)\n", + "this notebook, or see a static view\n", + "[here](http://nbviewer.ipython.org/url/jakevdp.github.io/downloads/notebooks/SeattleCycling.ipynb).\n", + "" + ] } - ] -} \ No newline at end of file + ], + "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": "3.6.0" + } + }, + "nbformat": 4, + "nbformat_minor": 1 +}