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6 a 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 Adjusted R Square Standard Error 0.865 0.726 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 Test for the overall significance of the model and report the value of the relevant test statistic.
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 Adjusted R Square Standard Error 0.865 0.726 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.