evidence$).$

Context$-$Imagine that you've started your own management consulting company, and you have a client from London who is a bike$-$sharing company. Their business as you can say intuitively, highly relies on the number of bikes demanded, and their ability to meet the demand. To this end, to minimize the possibility of losing customers for bikes being not available at the time of demand, while avoiding the possibility of maintaining unnecessary large number of bikes and the associated maintenance costs, they need predictions on the demand of bikes. The company have been observing that the demand is very much correlated with the weather conditions. They are providing you with a dataset of the number of bikes in one$-$hour time intervals between $2015$ and $2016$ along with weather conditions.

Instructions$-$Please utilize the London bike$-$sharing dataset to predict the number of bikes for the bike$-$sharing company. To be explicitly clear, you must use at minimum $4$ variables to make your prediction. The more work you put into this take home $($i$.$e$.,$ variables, justification, interpretation$)$ the higher your exam score will be$.$ I reserve the right to award extra credit to those who go above and beyond.

Please provide the list of variables you included in your regression.

Format them as:

Variable $1$

Variable $2$

etc.

Please provide your reasoning for why you included these variables. Please provide a reason for each individual variable.

Format them as:

Variable $1-$ The reason I believe variable one has an impact on our predicted variable is because....

Variable $2-$ Theory for why variable $2$ has an impact on final grades. etc.

Provide whether your regression is significant, and your coefficients are significant. Interpret the measure of variation explained.

Example:

My regression is significant at the $0.x$ level

Variable $1$ is significant at $0.x$ level

Variable $2$ is significant at $0.x$ level

etc. $($all variables$)$

Provide an explanation of the measure of variation explained here.

You are presenting your findings to the board of the bike$-$sharing company. Is there anything you can tell them about the most influencing factors on the bike demands? Is there anything concerning from your results? How can you use confidence intervals of your results to explain your findings for the bike$-$sharing company board members?