A manager wishes to determine the relationship between the number of years her sales representatives have been employed by the firm and their amount of sales $($in thousands of dollars$)$ per month. Find the equation of the regression line for the given data. What would be the predicted sales if the sales representative was employed by the firm for $30$ years? Is this reasonable? Why or why not? Round the predicted sales to the nearest dollar. Round the regression line values to the nearest hundredth.

$\backslash$table$[[$Years employed, x$,2,3,10,7,8,15,3,1,11],[$Sales$,$ y$,31,33,78,62,65,61,48,55,120]]$

A$.$ hat$(y)=3\mathrm{.}53x-37\mathrm{.}92$;$$67,980$; No$,$ it is not reasonable. Thirty years of employment is well outside the scope of the model.

B$.$ hat$(y)=3\mathrm{.}53x-37\mathrm{.}92$;$$67,980$; Yes, it is reasonable. Thirty years of employment is well outside the scope of the model.

C$.$ hat$(y)=3\mathrm{.}53x+37\mathrm{.}92$;$$143,820$; Yes, it is reasonable. Thirty years of employment is well outside the scope of the model.

D$.$ hat$(y)=3\mathrm{.}53x+37\mathrm{.}92$;$$143,820$; No$,$ it is not reasonable. Thirty years of employment is well outside the scope of the model.