1. Question 1: The Public Utility Commission is interested in describing the relationship between household monthly utility bills and the size of the house. A recent study of 30 randomly selected household resulted in the following regression results: SUMMARY OUTPUT Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations 0.149769088 0.02243078 -0.012482407 16.72762259 30 ANOVA df SS MS 179.7725274 179.7725 0.642473 7834.774007 279.8134 1 Regression Residual Total 28 29 8014.546534 Standard Eror 13.44691911 4.941135 3.26E-05 0.006560753 0.801544 0.429567 Coefficients t Stat P-value Intercept Square Feet 66.44304169 0.005258733 (a) Based on the information provided, indicate what, if any, conclusions can be reached about the relationship between utility bill and the size of the house in square feet. (b) Construct a 95% confidence interval for the true regression coefficient of Square Feet. How do you interpret this confidence interval? (c) What is the F-test? In view of the F-test reported in this table, is the model significant? Please give a reason.

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