The owner of Showtime Movie Theaters, Inc., would like to predict weekly gross revenue as a function of advertising expenditures. Historical data for a sample of eight weeks follow.   Weekly Gross Revenue ($1000s) Televison Advertising ($1000s) Newspaper Advertising ($1000s) 97 6 2.5 90 2 2    96 5 1.5 92    2.5 3.5 96 4 4.3 94    3.5 2.3 94    2.5 5.2 94 3 3.5   a. Use a = 0.01 to test the hypotheses Ho: B1 = B2 = 0 Ha: B1, and/or B2 is not equal to zero for the model y=Bo + B1X1 + B2X2 + E, where x1= television advertising ($1,000s)   x2= newspaper advertising (1,000s) Compute the test statistic (to 2 decimals). Use F table. __________   b. Use a = 0.05 to test the significance of B1. Compute the t test statistic (to 2 decimals). Use t table. ____________   c. Use a = 0.05 to test the significance of B2. Compute the test statistic (to 2 decimals). Use t table. _______________

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The owner of Showtime Movie Theaters, Inc., would like to predict weekly gross revenue as a function of advertising expenditures. Historical data for a sample of eight weeks follow.

 

Weekly Gross Revenue ($1000s) Televison Advertising ($1000s) Newspaper Advertising ($1000s)
97 6 2.5
90 2 2   
96 5 1.5
92    2.5 3.5
96 4 4.3
94    3.5 2.3
94    2.5 5.2
94 3 3.5

 

a. Use a = 0.01 to test the hypotheses

Ho: B1 = B2 = 0

Ha: B1, and/or B2 is not equal to zero

for the model y=Bo + B1X1 + B2X2 + E, where

x1= television advertising ($1,000s) 

 x2= newspaper advertising (1,000s)

Compute the test statistic (to 2 decimals). Use F table. __________

 

b. Use a = 0.05 to test the significance of B1. Compute the t test statistic (to 2 decimals). Use t table. ____________

 

c. Use a = 0.05 to test the significance of B2. Compute the test statistic (to 2 decimals). Use t table. _______________

 

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