SCENARIO 18-2 One of the Most Common Questions of Prospective House Buyers

Multiple Choice

SCENARIO 18-2
One of the most common questions of prospective house buyers pertains to the cost of heating in dollars (Y) . To provide its customers with information on that matter, a large real estate firm used the following 4 variables to predict heating costs: the daily minimum outside temperature in degrees of Fahrenheit ( X₁ ) , the amount of insulation in inches ( X ₂ ) , the number of windows in the house ( X₃ ) , and the age of the furnace in years ( X ₄ ) . Given below are the EXCEL outputs of two regression models.


-Referring to Scenario 18-1,when the builder used a simple linear regression model with house size (House) as the dependent variable and education (School) as the independent variable,he obtained an r² value of 23.0%.What additional percentage of the total variation in house size has been explained by including family size and income in the multiple regression?

A) 2.8%
B) 51.8%
C) 72.6%
D) 74.8%