14.46 House with garage Refer to the House Selling Price OR data file on the book’s website.

a. The variable “Garage” included in the dataset is an indicator variable for whether a house has a garage

(with 1 indicating that it does have one). Using software, put this as the sole predictor of house selling price (in thousands) in a regression model. Report the prediction equation and interpret the intercept and slope estimates.

b. For the model fitted in part

a, conduct the t test for the effect of the indicator variable in the regression analysis (that is, test H0: b = 0). Interpret.

c. Use software to conduct the F test for the analysis of variance comparing the mean selling prices of homes with and without a garage. Interpret.

d. Explain the connection between the value of t in part b and the value of F in part c.