SCENARIO 14-4
a Real Estate Builder Wishes to Determine How $r ^ { 2 }$

question 311

Multiple Choice

SCENARIO 14-4
A real estate builder wishes to determine how house size (House) is influenced by family income
(Income) and family size (Size) . House size is measured in hundreds of square feet and income is
measured in thousands of dollars. The builder randomly selected 50 families and ran the multiple
regression. Partial Microsoft Excel output is provided below:
-Referring to Scenario 14-4, when the builder used a simple linear regression model with house size (House) as the dependent variable and family size (Size) as the independent variable, he
Obtained an $r ^ { 2 }$ value of 1.25%. What additional percentage of the total variation in house size has
Been explained by including income in the multiple regression?

• A) 15.00%
• B) 70.64%
• C) 71.50%
• D) 73.62%

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