$($a$)$ Use the command $$leaps$$ in the R package $$leaps$$ along with the strategy discussed in class to choose a good subset of the $16$ predictors to include in a linear model with $$salary$$ as the response $($and not its logarithm$).$ Describe fully the rationale you use in choosing your model.

$($Note: The R function $$leaps$.$AIC$($used to compute the AIC and BIC values for the best subset models of each size returned by $$leaps$),$ are available under Codes on Canvas. Feel free to use these resources for part $($a$)$ above.$)$