QUESTION 4 Determine, on the basis of the sample data shown in the table below, whether the true proportion of shoppers favouring soft drinks over home-made juices is the same in all four locations. Use the 0.05 level of significance. [15 marks] Supermarkets # favouring soft drinks # favouring detergent B Calton/St.Philip 132 168 Massy/Warrens 260 240 Jordan/St.James 197 203 TriMart/Ch.Ch 125 200 QUESTION 5 a) The owner of Showtime Movie Theaters, Inc., used multiple regression analysis to predict gross revenue (y) as a function of television advertising (x1) and newspaper advertising (x2). The estimated regression equation was y = 83.2 + 2.29x1 + 1.30x2 The computer solution provided SST = 25.5 and SSR = 23.435. a. Compute and interpret R2 and Ra. [8 marks] b. When television advertising was the only independent variable, R2 = . 653 and Ra = .595. Do you prefer the multiple regression results? Explain. [2 marks] b) The following estimated regression equation based on 10 observations was presented. [20 marks] y = 29. 1270 + .5906x1 + . 4980x2 Here SST = 6724.125, SSR = 6216.375, sbi = .0813, and sb2 = .0567. a. Compute MSR and MSE. b. Compute F and perform the appropriate F test. Use a = .05. c. Perform a t test for the significance of bl. Use a = .05. d. Perform a t test for the significance of b2. Use a = .05