You are a new hire at Laurel Woods Real Estate, which specializes in selling foreclosed homes via public auction. Your boss has asked you to use the following data $($mortgage

balance, monthly payments, payments made before default, and final auction price$)$ on a random sample of recent sales to estimate what the actual auction price will be$.$

Add a new variable that describes the potential interaction between the loan amount and the number of payments

made. Then do a test of hypothesis to check if the interaction is significant.

a$.$ Determine the regression equation. $($Negative amounts should be indicated by a minus sign. Round your

answers to $3$ decimal places.$)$

Auction Price $=$dots$+$ Loan $+$dots Monthly Payment $+$dots Payments Made $+dots{x}_1{x}_3$

b$.$ Complete the following table. $($Leave no cells blank $-$ be certain to enter $"0"$ wherever required. Negative

amounts should be indicated by a minus sign. Round your answers to $3$ decimal places.$)$

c$.$ Compute the $t-$value corresponding to the interaction term. $($Negative amount should be indicated by a

minus sign. Round your answer to $2$ decimal places.$)$

t$-$value $=$