Question $4$

A note before starting this question:

This table is from the Boston Housing dataset introduced in the Discussion Prompt about data bias in this week's material.

Below result is a multilinear regression fit on the data with variables shown below. The crime rate is the dependent variable $($Y$)$ and the rest are predictors $($X$).$

Variable

Description

crim

per capita crime rate by town

zn

proportion of residential land zoned for lots over $25,000$ sq$.$ft$.$

indus

proportion of non$-$retail business acres per town.

rm

average number of rooms per dwelling.

dis

weighted mean of distances to five Boston employment centers.

rad

index of accessibility to radial highways.

black

$1000($Bk $-0\mathrm{.}63)^2$ where Bk is the proportion of blacks by town.

lstat

lower status of the population $($percent$).$

mdev

median value of owner$-$occupied homes in $$1000$s$.$

Table of p values for multilinear regression model parameters where crime rate is the target.Intercept p value is $0\mathrm{.}271.$ zn p value is $0\mathrm{.}007.$ indus p value is $0\mathrm{.}035.$ rm p value is $0\mathrm{.}498.$ dis p value is $0\mathrm{.}001.$ rad p valu is $0\mathrm{.}000.$ black p value is $0\mathrm{.}034.$ lstat p value is $0\mathrm{.}071.$ medv p value is $0\mathrm{.}004.$

Which variables$/$terms can you remove from the model? Choose all that apply.

$1$ point

$($a$)$ Intercept

$($b$)$ zn

$($c$)$ indus

$($d$)$ rm

$($e$)$ dis

$($f$)$ rad

$($g$)$ black

$($h$)$ Istat

$($i$)$ medv