Question $5,$ Problem $4\mathrm{.}30$

HW Score: $30\mathrm{.}83\%,6\mathrm{.}17$ of $20$

Part $1$ of $4$

points

Points: $0$ of $3$

Dr$.$ Lillian Fok, a New Orleans psychologist, specializes in treating patients who are agoraphobic $($i$.$e$.,$ afraid to leave their homes$).$ The following table indicates how many patients Dr$.$ Fok has seen each year for the past $10$ years. It also indicates what the robbery rate was in New Orleans during the same year:

$\backslash$table$[[$Year$,1,2,3,4,5,6,7,8,9,10],[$Number of Patients,$37,34,39,42,42,54,60,54,59,61],[\backslash$table$[[$Robbery Rate$],[$per $1,000$ Population$]],58\mathrm{.}3,60\mathrm{.}6,73\mathrm{.}0,75\mathrm{.}7,78\mathrm{.}5,89\mathrm{.}5,101\mathrm{.}1,94\mathrm{.}8,103\mathrm{.}2,115\mathrm{.}6]]$

The simple linear regression equation that shows the best relationship between the number of patients and year is $($round your responses to three decimal places$)$:

hat$(y)=+x$

where hat$(y)=$ Dependent Variable and $x=$ Independent Variable.