$($#$1)($Data exercise$).$ You should use Stata for parts $($j$)$ and $($k$)$ of this problem. Are rental rates influenced by the student population in a college town? Let rent be the average monthly rent paid on rental units in a college town in the United States. Let pop denote the total city population, avginc the average city income, and petstu the student population as a percentage of the total population. One model to test for a relationship is In$($rent$)=$ Bo $+$ Biln$($pop$)+$ B$2$ln$($avginc$)+$ B$3$pctstu$+$ u a$)$ State the null hypothesis that size of the student body relative to the population has no ceteris paribus effect on monthly rents. State the alternative that there is an effect. $($Write the hypotheses as statements about the relevant model parameter$($s$).)$