Production Volume $($units$)$

$400$

$450$

$550$

$600$

$700$

$750$

Total Cost $($$$)$

$3,700$

$4,700$

$5,100$

$5,600$

$6,100$

$6,700$

a$.$ Use these data to develop an estimated regression equation that could be used to predict the total cost for a given production volume. Do not round intermediate calculations.

Compute $b_1$ and $b_0($to $1$ decimal$).$ Do not round intermediate calculations.

$b_1$

$b_0$

Complete the estimated regression equation $($to $1$ decimal$).$ Do not round intermediate calculations.

hat$(y)=$

$$

b$.$ What is the variable cost per unit produced $($to $2$ decimal$)?$ Do not round intermediate calculations.

$ $$

c$.$ Compute the coefficient of determination $($to $3$ decimals$).$ Do not round intermediate calculations, Note: report $r^2$ between $0$ and $1.r^2=$