5. (20 pts) For this question let price denote sale price for a house, sqft square footage, and age denote its age. Below we present the output of two regression: The left panel contains the output from regressing price on a sqft and age. The right panel contains the output from regressing price on sqft. (a) By relying on the formula for R2, explain how the R2 increases when we add age. (1)) Suppose you know the sqft of a house and you want to predict its price. Based on the R2 of both regressions: Do you think also knowing age would be very helpful in improving your prediction? Justify your