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: Price ($) Type 184,400 C 185,200 C 187,200 C 190,900 C 197,100 F 199,700 F 200,600 C 203,100 F 207,200 F 208,000 C 210,500 F 211,800 C 215,800 F 228,400 F 233,300 F 239,000 F 258,200 F 284,100 F 312,200 F 313,600 C F: Single-Family Home C: Condomnium Residence Square Feet 1,545 1,200 1,360 1,726 1,450 1,500 1,375 1,630 1,755 1,825 1,650 2,085 1,730 1,836 1,960 1,950 1,850 2,000 2,300 1,650 20 a. Produce a regression equation to predict the selling price for residences using a model of the following form: (2 marks) yi = 0 + 1x1 + 2x2 + Where, X1 = X2 = Square Footage { { 1, if a condomnium 0, if a single-family home b. Interpret the parameters 1, and 2 in the model given in part a. (2 marks) c. Produce an equation that describes the relationship between the selling price and the square footage of (1) condominiums and (2) single-family homes. (3 marks) 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