Please upload a pdf file that includes the $R$ scripts, abbreviated outputs and

answers$/$explanations to the questions.

In this problem we will perform multiple regression on the Boston housing data. The

data contains $506$ records with $14$ variables. The variable medv is the response variable.

To assess the data use

library$($MASS$)$

data$($Boston$)$

$($a$)$ First perform a multiple regression with all the variables, what can you say about

the significance of the variables based on only the p$-$values. Next use the "step"

function to perform backward selection using $(1)$ the AIC criteria and $(2)$ the BIC

criteria then compare the results. $($By default the step function in $R$ performs

variable selection based on AIC criteria. Read the documentation to find out how

to do the selection using BIC criteria. $)$

$($b$)$ Now make a histogram of the response variable $($use hist$())$ to see if it is skewed.

Using medv