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A regression model was fit to predict selling price of condominiums and single family homes in Cambridge from x = house size, x2 = a

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A regression model was fit to predict selling price of condominiums and single family homes in Cambridge from x = house size, x2 = a binary predictor for whether a home is a single family home (x2 = 1 for single family homes), and the interaction between the two. The estimated regression model is given below: p = 428 + 0.286x, + 104x2 - 0.140(x, * *2) What is the interpretation of the value -0.140 in the estimated regression model above? A) Single family homes sell at a lower price ($140 less), on average, controlling for house size. B) The relationship between selling price and house size is negative for all homes: an additional square foot is associated with a $140 decrease in selling price of the house, on average. C) For single family homes, the relationship between selling price and house size is negative: an additional square foot is associated with a $140 decrease in selling price of the house, on average. D) The association between selling price of a home and house size has lower slope for single family homes than for condominiums ($286 increase for each square foot for condominiums, and it is $140 less for single family homes: $146 per square foot)

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