Southerly Showtime Movie Theaters, Inc. owns and operates a chain of cinemas in several markets in the southern United States. The owners would like to estimate weekly gross revenue as a function of advertising expenditures. Data for a sample of eight markets for a recent week follow. (Let x1 represent Television Advertising ($100s), x2 represent Newspaper Advertising ($100s), and y represent Weekly Gross Revenue ($100s).) Market Weekly Gross Revenue ($100s) Television Advertising ($100s) Newspaper Advertising ($100s) Market 1 101.3 4.9 1.4 Market 2 51.9 2.9 3.1 Market 3 74.8 3.9 1.4 Market 4 126.2 4.4 4.2 Market 5 137.8 3.7 3.9 Market 6 101.4 3.4 2.4 Market 7 237.8 5.1 8.5 Market 8 219.6 7.0 5.7 (a) Develop an estimated linear regression equation with the amount of television advertising as the independent variable. (Round your numerical values to four decimal places.) ŷ =        Test for a significant relationship between the amount spent on television advertising and weekly gross revenue at the 0.05 level of significance. (Use the t test.) Find the p-value. (Round your answer to four decimal places.) p-value =  How much of the variation in the sample values of weekly gross revenue (in %) does the model in part (a) explain? (Round your answer to two decimal places.)  % (c) Develop an estimated linear regression equation with both television advertising and newspaper advertising as the independent variables. (Round your numerical values to four decimal places.) ŷ =        Test whether the parameter ?0 is equal to zero at a 0.05 level of significance. Find the p-value. (Round your answer to four decimal places.) p-value =  Test whether the parameter ?1 is equal to zero at a 0.05 level of significance. Find the p-value. (Round your answer to four decimal places.) p-value =  Test whether the parameter ?2 is equal to zero at a 0.05 level of significance. Find the p-value. (Round your answer to four decimal places.) p-value =  How much of the variation in the sample values of weekly gross revenue (in %) does the model in part (c) explain? (Round your answer to two decimal places.)

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Author:Amos Gilat
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Southerly Showtime Movie Theaters, Inc. owns and operates a chain of cinemas in several markets in the southern United States. The owners would like to estimate weekly gross revenue as a function of advertising expenditures. Data for a sample of eight markets for a recent week follow. (Let x1 represent Television Advertising ($100s), x2 represent Newspaper Advertising ($100s), and y represent Weekly Gross Revenue ($100s).)
Market Weekly Gross Revenue ($100s) Television Advertising ($100s) Newspaper Advertising ($100s)
Market 1 101.3 4.9 1.4
Market 2 51.9 2.9 3.1
Market 3 74.8 3.9 1.4
Market 4 126.2 4.4 4.2
Market 5 137.8 3.7 3.9
Market 6 101.4 3.4 2.4
Market 7 237.8 5.1 8.5
Market 8 219.6 7.0 5.7
(a)
Develop an estimated linear regression equation with the amount of television advertising as the independent variable. (Round your numerical values to four decimal places.)
ŷ = 
 
 
 
Test for a significant relationship between the amount spent on television advertising and weekly gross revenue at the 0.05 level of significance. (Use the t test.)
Find the p-value. (Round your answer to four decimal places.)
p-value = 
How much of the variation in the sample values of weekly gross revenue (in %) does the model in part (a) explain? (Round your answer to two decimal places.)
 %
(c)
Develop an estimated linear regression equation with both television advertising and newspaper advertising as the independent variables. (Round your numerical values to four decimal places.)
ŷ = 
 
 
 
Test whether the parameter ?0 is equal to zero at a 0.05 level of significance.
Find the p-value. (Round your answer to four decimal places.)
p-value = 
Test whether the parameter ?1 is equal to zero at a 0.05 level of significance.
Find the p-value. (Round your answer to four decimal places.)
p-value = 
Test whether the parameter ?2 is equal to zero at a 0.05 level of significance.
Find the p-value. (Round your answer to four decimal places.)
p-value = 
How much of the variation in the sample values of weekly gross revenue (in %) does the model in part (c) explain? (Round your answer to two decimal places.)
 %
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