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$,1,2,3,4,5,6,7,8,9,10],[\backslash$table$[[$Number of Patients$],[$Robbery Rate$],[$per $1,000$ Population$]],36,32,40,42,40,55,62,55,59,60]]$

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$(y)=,+$dotsx

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