PLEASE ANSWER USING R CODES

Each morning between 6:30 AM and 8:00 AM Naruto leaves the Atlanta suburb to drive to work. The time it takes Naruto to drive to work (time) depends on the time he leaves home (leave), the number of traffic signals that he stops at (signals), and the number of cars that he has to wait for at his office parking lot (cars). Observations on these variables for the 239 working days in 2021 appear in the file OfficeTravel.csv. time is measured in minutes. leave is the number of minutes after 6:30 AM that Naruto departs. signals are the number of traffic lights he stops cars the number of cars that he has to wait for at his office parking lot

a.Test the following hypotheses:

I.The expected delay at a traffic signal is 1.8 minutes and the expected delay for each car in front of him at his parking lot is 3.2 mins

II.The expected delay at a traffic signal is half that of the expected delay from the number of cars

b.Naruto suspects that the later he leaves, the more likely he is to encounter cars ahead of him in the parking lot. Test this using an appropriate model.

c.Using the information you learn in parts (a) and (b), estimate the correct model for what affects Narutos total travel time to his office and interpret the results.

\begin{tabular}{|r|r|r|r|} \hline time & leave & \multicolumn{1}{l|}{ signals } & \multicolumn{1}{l|}{ cars } \\ \hline 40 & 33 & 8 & 0 \\ \hline 26 & 11 & 8 & 1 \\ \hline 40 & 16 & 6 & 1 \\ \hline 48 & 37 & 3 & 1 \\ \hline 47 & 16 & 6 & 1 \\ \hline 54 & 21 & 13 & 1 \\ \hline 29 & 15 & 4 & 0 \\ \hline 52 & 29 & 9 & 0 \\ \hline 59 & 46 & 7 & 0 \\ \hline 47 & 26 & 7 & 0 \\ \hline 34 & 20 & 3 & 1 \\ \hline 35 & 32 & 11 & 0 \\ \hline 36 & 14 & 7 & 0 \\ \hline 48 & 20 & 9 & 0 \\ \hline 42 & 16 & 7 & 0 \\ \hline 39 & 24 & 8 & 0 \\ \hline 38 & 23 & 11 & 0 \\ \hline 42 & 19 & 9 & 1 \\ \hline 39 & 19 & 10 & 1 \\ \hline 34 & 17 & 4 & 0 \\ \hline \end{tabular}