A data set is given below.

$($a$)$ Draw a scatter diagram. Comment on the type of relation that appears to exist between $x$ and $y.$

$($b$)$ Given that $\stackrel{}{x}=3\mathrm{.}6667,s_x=2\mathrm{.}4221\frac{,}{b}ar(y)=3\mathrm{.}8667,s_y=1\mathrm{.}8435,$ and $r=-0\mathrm{.}9525,$ determine the least$-$squares regression line.

$($c$)$ Graph the least$-$squares regression line on the scatter diagram drawn in part $($a$).$

$($a$)$ Choose the correct graph below.

A$.$

B$.$

B$.$

c$.$

c$.$

D$.$