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2. The owner of Showtime Movie Theaters, Inc., would like to estimate weekly gross revenue as a function of advertising expenditures. Historical data for a

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2. The owner of Showtime Movie Theaters, Inc., would like to estimate weekly gross revenue as a function of advertising expenditures. Historical data for a sample of eight weeks follow. Television Newspaper Weekly Advertising Advertising Revenue ($1000s) ($1000s) ($1000s) 3 3.3 98 3.5 2.3 97 2.5 4.2 97 5 1.5 99 2 2 93 4 1.5 98 2.5 2.5 95 3 2.5 97 Predictor Coeff SE Coef T P Constant 86.230 1. 574 54. 79 0. 000 Television Advertising ($1000s) 2. 2902 0 . 3041 7. 53 0. 001 Newspaper Advertising ($1000s) 1 . 3010 0. 3207 4. 06 0. 010 S = 0. 642587 R-Sq = 91. 9% R-Sq (adj) = 88.7% Analysis of Variance Source DF SS MS F P Regression ??? 23. 435 ? ? ? ? ? ? 0 . 002 Residual Error ??? ? ? ? ? ? ? Total 2?? 25. 500 Source DF Seq SS Television Advertising ($1000s) 1 16. 640 Newspaper Advertising ($1000s) 1 6. 795 a) Write down what the estimated regression equation is that relates weekly revenue equation with both television advertising and newspaper advertising as the independent variables. b) Interpret the slope coefficients for each of the independent variables. c) Complete the ANOVA Table d) Conduct Hypothesis tests on Regression and Individual coefficients at 0.05 level of significance. e) What are the values of Coefficient of Multiple Determination and Adjusted Coefficient of Multiple Determination? f) Comment on Goodness of Fit between the dependent variable and the two independent variables. g) How are R-Sq and R-Sq (adj) calculated? h) What is the gross revenue expected for a week when $3500 is spent on television advertising and $1800 is spent on newspaper advertising

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