15.5

Q1

The following estimated regression equation is based on 10 observations was presented. y = 29.1270 + 0.5906:1 + 0.4980x2 Here SST = 6,724.125, SSR = 6,216.375, sb, = 0.0813, and Sb, = 0.0567. a. Compute MSR and MSE (to 3 decimals). MSR = MSE = b. Compute F and perform the appropriate F test (to 2 decimals). Use a = 0.05. Use F table. F = The p-value is - Select your answer - At a = 0.05, the overall model is - Select your answer - C. Perform a t test for the significance of 81 (to 2 decimals). Use a = 0.05. Use t table. to, = The p-value is - Select your answer - At o = 0.05, there is - Select your answer - V relationship between y and 1. d. Perform a t test for the significance of 82 (to 2 decimals). Use o = 0.05. Use t table. to The p-value is - Select your answer - v At o = 0.05, there is - Select your answer - V relationship between y and 2.The following estimated regression equation is based on 10 observations was presented. y = 29.1270 + 0.5906:1 + 0.4980 2 Here SST = 6,651.625, SSR = 6,228.875, s, = 0.0756, and Sby = 0.0593. a. Compute MSR and MSE (to 3 decimals). MSR = MSE = b. Compute F and perform the appropriate F test (to 2 decimals). Use a = 0.05. Use the F table. F = The p-value is - Select your answer - At o = 0.05, the overall model is - Select your answer - c. Perform a t test for the significance of 81 (to 2 decimals). Use a = 0.05. Use the t table. to = The p-value is - Select your answer - At o = 0.05, there is - Select your answer - relationship between y and $1. d. Perform a t test for the significance of 82 (to 2 decimals). Use a = 0.05. Use the t table. to, = The p-value is - Select your answer - At a = 0.05, there is - Select your answer - V relationship between y and $2.The owner of Showtime Movie Theaters, Inc., used multiple regression analysis to predict gross revenue (3;) as a function of television advertising {31) and newspaper advertising [32). Values ofy, 1. and 32 are expressed in thousands of dollars. Click on the datale logo to reference the data. 0mm Weekl? Gross Television Newspaper Revenue Advertising Advertising (31000:!) (310005) (31000:!) 96 5.0 1.5 90 2.0 2.0 95 4.0 1.5 92 2.5 2.5 95 3.0 3.3 94 3.5 2.3 94 2.5 4.2 94 3.0 2.5 The estimated regression equation was 3:; = 83.23 + 2.29m + 1.303; a. What is the gross revenue expected for a week where $3,500 is spent on television (m1 = 3.5} and $1,800 is spent on newspaper advertising (32 = 1.3} (to 3 decimals)? $:] 0 thousand b. Provide a 95% prediction interval for next week's revenue, assuming that the advertising expenditures will be allocated as in part (a) {to 2 decimals}. {is 0 thousand, $ 6 thousand J The owner of Showtime Movie Theaters. Inc.. used multiple regression analysis to predict gross revenue (1;) as a function of television advertising {31) and newspaper advertising [33). Values ofy, a1. and a: are expressed in thousands of dollars. Weekly Gross Television Newspaper Revenue Advertising Advertising (31000:) (310005) (31000:!) 96 5.0 1.5 90 2.0 2.0 95 4.0 1.5 92 2.5 2.5 95 3.0 3.3 94 3.5 2.3 94 2.5 4.2 94 3.0 2.5 The estimated regression equation was 33' = 83.23 + 2.29.761 + 1.303: a. What is the gross revenue expected for a week where $3,500 is spent on television (21 = 3.5} and $1,800 is spent on newspaper advertising (23 = 1.3) (to 3 decimals)? 1; thousand l3. Provide a 95% prediction interval for next week's revenue. assuming that the advertising expenditures will be allocated as in part (a) {to 2 decimals). ( '15 thousand, 1; thousand) Data for two variables, a." and 3:, follow. a. Develop the estimated regression equation for these data {to 2 decimals). Enter negative value as negative number. = 0 + 9 a b. Compute the standardized residuals for these data {to 2 decimals). Do not round your intermediate calculations. Enter negative value as negative number. Standardized 2:- y: Residual 22 12 6 24 23 9 25 31 9 as 35 9 41 so (3