Janice​ Carrillo, a​ Gainesville, Florida, real estate​ developer, has devised a regression model to help determine residential housing prices in northeastern Florida. The model was developed using recent sales in a particular neighborhood. The price​ (Y) of the house is based on the size​ (square footage​ = X) of the house. The model​ is:

Y = 13.473 + 37.65X

The coefficient of correlation for the model is 0.63

a. Use the model to predict the selling price of a house that is 1,860 square feet
b. An 1,860-square-foot house recently sold for $95,000. Explain why this is not what the model predicted
c. If you were going to use multiple regression to develop such a model, what other quantitative variables you might include?
d. What is the value of the coefficient of determination in this problem?