# HW 06 - Bike rentals in DC

Photo by Viktor Kern on Unsplash

Bike sharing systems are new generation of traditional bike rentals where whole process from membership, rental and return back has become automatic. Through these systems, user is able to easily rent a bike from a particular position and return back at another position. Currently, there are about over 500 bike-sharing programs around the world which is composed of over 500 thousands bicycles. Today, there exists great interest in these systems due to their important role in traffic, environmental and health issues.

Apart from interesting real world applications of bike sharing systems, the characteristics of data being generated by these systems make them attractive for the research. Opposed to other transport services such as bus or subway, the duration of travel, departure and arrival position is explicitly recorded in these systems. This feature turns bike sharing system into a virtual sensor network that can be used for sensing mobility in the city. Hence, it is expected that most of important events in the city could be detected via monitoring these data.

# Packages

In this assignment we will work with the following packages. They should already be installed in your project, and you can load them with the following:

library(tidyverse)
library(dsbox)

# Data

The data include daily bike rental counts (by members and casual users) of Capital Bikeshare in Washington, DC in 2011 and 2012 as well as weather information on these days.

The original data sources are http://capitalbikeshare.com/system-data and http://www.freemeteo.com.

The dataset is called dcbikeshare. You can find descriptions of each of the variables in the help file for the dataset, which you can access by running ?dcbikeshare in your Console.

# Exercises

## Data wrangling

1. Recode the season variable to be a factor with meaningful level names as outlined in the codebook, with spring as the baseline level.

2. Recode the binary variables holiday and workingday to be factors with levels no (0) and yes (1), with no as the baseline level.

3. Recode the yr variable to be a factor with levels 2011 and 2012, with 2011 as the baseline level.

4. Recode the weathersit variable as 1 - clear, 2 - mist, 3 - light precipitation, and 4 - heavy precipitation, with clear as the baseline.

5. Calculate raw temperature, feeling temperature, humidity, and windspeed as their values given in the dataset multiplied by the maximum raw values stated in the codebook for each variable. Instead of writing over the existing variables, create new ones with concise but informative names.

6. Check that the sum of casual and registered adds up to cnt for each record. Hint: One way of doing this is to create a new column that takes on the value TRUE if they add up and FALSE if not, and then checking if all values in that column are TRUEs. But this is only one way, you might come up with another.

✅ ⬆️ Now is a good time to knit your document, and commit and push your changes to GitHub with an appropriate commit message. Make sure to commit and push all changed files so that your Git pane is cleared up afterwards.

## Exploratory data analysis

1. Recreate the following visualization, and interpret it in context of the data. Hint: You will need to use one of the variables you created above. The temperature plotted is the feeling temperature.

1. Create a visualization displaying the relationship between bike rentals and season. Interpret the plot in context of the data.

✅ ⬆️ Now is a good time to knit your document, and commit and push your changes to GitHub with an appropriate commit message. Make sure to commit and push all changed files so that your Git pane is cleared up afterwards.

## Modelling

1. Fit a linear model predicting total daily bike rentals from daily temperature. Write the linear model, interpret the slope and the intercept in context of the data, and determine and interpret the $$R^2$$.

2. Fit another linear model predicting total daily bike rentals from daily feeling temperature. Write the linear model, interpret the slope and the intercept in context of the data, and determine and interpret the $$R^2$$. Is temperature or feeling temperature a better predictor of bike rentals? Explain your reasoning.

3. Fit a model predicting total daily bike rentals from season, year, whether the day is holiday or not, whether the day is a workingday or not, the weather category, temperature, feeling temperature, humidity, and windspeed, as well as the interaction between feeling temperature and holiday. Record adjusted $$R^2$$ of the model.

4. Write the linear models for holidays and non-holidays. Is the slope of temperature the same or different for these two models? How about the slope for feeling temperature? Why or why not?

5. Interpret the slopes of season and feeling temperature. If the slopes are different for holidays and non-holidays, make sure to interpret both. If the variable has multiple levels, make sure you interpret all of the slope coefficients associated with it.

6. Interpret the intercept. If the intercept is different for holidays and non-holidays, make sure to interpret both.

7. According to this model, assuming everything else is the same, in which season does the model predict total daily bike rentals to be highest and which to be the lowest?

8. Perform the first step of backward selection by fitting a series of models, each with one explanatory variable removed from the model you fit in the previous exercise. Record adjusted $$R^2$$s of each of these models. Which model of these models, if any, gives the highest improvement over the model in the previous exercise?

✅ ⬆️ Now is definitely a good time to knit your document, and commit and push your changes to GitHub with an appropriate commit message. Make sure to commit and push all changed files so that your Git pane is cleared up afterwards, and review the .md document on GitHub to make sure you’re happy with the final state of your work. Then go get some rest!