data for a manufacturing operation. $($c$)$ Compute the coefficient of determination. $($Round your answer to three decimal places.$)$

What percentage of the variation in total cost can be explained by production volume? $($Round your answer to one decimal place.$)$

$\%$

$($d$)$ The company's production schedule shows $650$ units must be produced next month. Predict the total cost $($in dollars$)$ for this operation. $($Round your answer to the nearest cent.$)$

$

$\backslash$table$[[\backslash$table$[[$Production Volume$],[($units$)]],\backslash$table$[[$Total Cost$],[($$$)]]],[400,3,900],[450,5,100],[550,5,400],[600,5,800],[700,6,500],[750,7,000]]$

$($a$)$ Uset

velop an estimated regression equation that could be used to predict the total cost for a given production volume. $($Round your numerical values to two decimal places.$)$

hat$(y)=q,$

$($b$)$ What is the variable cost $($in dollars$)$ per unit produced? $q,$