A real estate agent wishes to determine the selling price of residences using the size (square feet) and whether the residence is a condominium or a single-family home. A sample of 20 residences was obtained with the following results:

a. Produce a regression equation to predict the selling price for residences using a model of the following form:

b. Interpret the parameters β1 and β2 in the model given in part a.
c. Produce an equation that describes the relationship between the selling price and the square footage of (1) condominiums and (2) single-family homes.
d. Conduct a test of hypothesis to determine if the relationship between the selling price and the square footage is different between condominiums and single-family homes.

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Square quare Feet Price( Type Feet Price(S) Type 199.700 Fily 1.500 200.600 Condo 375 2.800 Condo 2.085 208.000 Condo 825 197,100 Family 450 210.500 Family 1650 228,400 Family 836 233.300 Fly 1,960 215,800 Family 190.900 Condo 726 185.200 Condo 200 312.200 Fl 2.300 284.100 y 2.000 313,600 Condo 650 207,200 F 239,000 F 1,950 258.200 Fily 184.400 Condo 545 203100 Family 630 1.730 187.200 Condo 360 amily .755 l if a condo 0 if single-family home x,-Square footage and x2-1 2