7

The table below shows a partial computer output for a real estate data for 50 residences that we wish to determine how house size is influenced by family income, family size, and education of the head of household. House size is measured in hundreds of square feet, income is measured in thousands of dollars, and education is measured in years.

SUMMARY OUTPUT

Regression Statistics
Multiple R	0.865
Adjusted R Square	0.726
Standard Error	5.195

Coeff.

St. Error

Intercept

-1.6335

5.8078

Family Income

0.4485

0.1137

Family Size

4.2615

0.8062

Education

-0.6517

0.4319

Find the lower end point in a 95% confidence interval for the change in the mean house size in square foot, for a unit change in family income, assuming that the other predictors remain unchanged.

8.The table below shows a partial computer output for a real estate data for 50 residences that we wish to determine how house size is influenced by family income, family size, and education of the head of household. House size is measured in hundreds of square feet, income is measured in thousands of dollars, and education is measured in years.

SUMMARY OUTPUT

Regression Statistics
Multiple R	0.865
Adjusted R Square	0.726
Standard Error	5.195

Coeff.

St. Error

Intercept

-1.6335

5.8078

Family Income

0.4485

0.1137

Family Size

4.2615

0.8062

Education

-0.6517

0.4319

What is the predicted house size in square feet for an individual earning an annual income of $150,000, having a family size of 4, and having 15 years of education?