The following table presents the average annual energy expenditures (in dollars) for housing units of various sizes (in square feet).

a. Compute the least-squares line for predicting energy consumption \((y)\) from house size \((x)\).

b. Compute the coefficient of determination \(r^{2}\).

c. Construct a residual plot. Does the relationship appear to be linear?

d. True or false: If the coefficient of determination is large, the relationship must be linear.

Transcribed Image Text:

Size 250 750 1250 1750 2250 2750 3250 3750 Energy Expenditure 1087 1228 1583 1798 1939 2138 2172 2315