Question
Dixie Showtime Movie Theaters, Inc., owns and operates a chain of cinemas in several markets in the southern U.S. The owners would like to estimate
Dixie Showtime Movie Theaters, Inc., owns and operates a chain of cinemas in several markets in the southern U.S. 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.
Market
Weekly Gross Revenue
($100s)Television Advertising
($100s)Newspaper Advertising
($100s)
Mobile 102.3 5 1.6
Shreveport 51.9 3 3.2
Jackson 75.5 4 1.5
Birmingham 127.2 4.4 4
Little Rock 137.8 3.6 4.3
Biloxi 101.4 3.5 2.3
New Orleans 237.8 5 8.4
Baton Rouge 219.6 6.9 5.8
(a)Use the data to develop an estimated regression with the amount of television advertising as the independent variable.Letxrepresent the amount of television advertising.If required, round your answers to three decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300)=+xTest for a significant relationship between television advertising and weekly gross revenue at the 0.05 level of significance.
(b)How much of the variation in the sample values of weekly gross revenue does the model in part (a)?If required, round your answer to two decimal places.%
(c)Use the data to develop an estimated regression equation with both television advertising and newspaper advertising as the independent variables.Letx1represent the amount of television advertising.Letx2represent the amount of newspaper advertising.If required, round your answers to three decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300)=+x1+x2Test whether each of the regression parameters0,1, and2is equal to zero at a 0.05 level of significance.
(d)How much of the variation in the sample values of weekly gross revenue does the model in part (c)? If required, round your answer to two decimal places.%
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