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QUESTION 2 A real estate investor in the city of Santa Monica, California wishes to determine the selling price of California residences using the size

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QUESTION 2 A real estate investor in the city of Santa Monica, California wishes to determine the selling price of California residences using the size (squareLondon School of Business & Finance 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 Square feet $424,000.00 2500 + NM $428,000.00 C 2400 + NM $421,000.00 f 2100 + NM $465,000.00 f 2500 + NM $446,000.00 f 2300 + NM $397,000.00 C 2100 + NM $583,000.00 f 3300 + NM $572,000.00 C 3200 + NM $479,000.00 f 2600 + NM $389,000.00 C 2100 + NM $412,000.00 C 2200 + NM $423,000.00 C 2300 + NM $438,000.00 f 2300 + NM $471,000.00 f 2500 + NM $393,000.00 C 2100 + NM $390,000.00 C 2100 + NM $543,000.00 f 3000 + NM $434,000.00 f 2300 + NM $506,000.00 2800 + NM $429,000.00 2200 + NM Where NM is the last two digits of your student ID number. a. Produce a regression equation to predict the selling price for residences using a model of the following form: yi = Bo + B1x1 + B2x2 + & Where X = Square Footage 1, if a condomnium X2 = 0, if a single-family home (4 marks) b. Interpret the parameters B1, and Bz in the model given in part a. (3 marks)London School of Business & Finance c. Calculate P-values and a 95% confidence interval for both slopes of both variables. Interpret them. (4 marks) d. Produce an equation that describes the relationship between the selling price and the square footage of (1) condominiums and (2) single-family homes. (4 marks)

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