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:
x 233 10 24 56 78 102 90 200 344 120 y 245 12 22 56 90 103 85 190 320 120 Price ($) Type Square Feet
199,700 F 1,500
211,800 C 2,085
197,100 F 1,450
228,400 F 1,836
215,800 F 1,730
190,900 C 1,726
312,200 F 2,300
313,600 C 1,650
239,000 F 1,950
184,400 C 1,545
200,600 C 1,375
208,000 C 1,825
210,500 F 1,650
233,300 F 1,960
187,200 C 1,360
185,200 C 1,200
284,100 F 2,000
207,200 F 1,755
258,200 F 1,850
203,100 F 1,630
F: Single-Family Home
C: Condomnium Residence
a. Produce a regression equation to predict the selling price for residences using a model of the following form,
Where,
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.