Questions $5$ through $8$ use mtcars data set

For questions $5$ through $8,$ we will use the mtcars data set, which is preprogrammed into R$.$

To view this data, please use the command

View$($mtcars$)$

Question $5$ through $8$ are worth $1$ points each $($each are $20\%$ participation $+80\%$ correctness$)$

Graphs for fuel economy $($mpg$)$ and gross horsepower $($hp$)$

From the four plots below, we can see that linear, exponential, logarithmic, and power law models are all appropriate to explain the relationship between horsepower and fuel economy $($where fuel economy is measured in miles per US gallon, mpg$).$ It appears that some models might be slightly better than others, but all four are reasonably accurate, and all four can provide reasonable interpretations.