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TABLE 14-4 A Real Estate Builder Wishes to Determine How House Size

question 164

Multiple Choice

TABLE 14-4
A real estate builder wishes to determine how house size (House) is influenced by family income (Income) , family size (Size) , and education of the head of household (School) . House size is measured in hundreds of square feet, income is measured in thousands of dollars, and education is in years. The builder randomly selected 50 families and ran the multiple regression. Microsoft Excel output is provided below: $TABLE 14-4 A real estate builder wishes to determine how house size (House) is influenced by family income (Income) , family size (Size) , and education of the head of household (School) . House size is measured in hundreds of square feet, income is measured in thousands of dollars, and education is in years. The builder randomly selected 50 families and ran the multiple regression. Microsoft Excel output is provided below: -Referring to Table 14-4, what fraction of the variability in house size is explained by income, size of family, and education? A) 27.0% B) 33.4% C) 74.8% D) 86.5%$
-Referring to Table 14-4, what fraction of the variability in house size is explained by income, size of family, and education?

Definitions:

Coefficient

A numerical or constant quantity placed before and multiplying the variable in an algebraic expression, often indicating the slope in linear equations or the degree of variation in correlation.

Unit Change

A measure indicating the change in outcome associated with a one-unit change in an independent variable within a statistical model.

Stepwise Regression

A procedure in regression analysis that automatically chooses the variables to be used for prediction.

Forward Selection

A stepwise regression approach where variables are sequentially added to the linear model based on their statistical significance in explaining the outcome variable.