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 Television Advertising Newspaper Advertising
($100s) ($100s) ($100s) ($100s)
Mobile 101.3 5 1.5
Shreveport 51.9 3 3
Jackson 74.8 4 1.5
Birmingham 126.2 4.3 4.3
Little Rock 137.8 3.6 4
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.
Let x represent the amount of television advertising.
If required, round your answers to four decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300)
= + x
Test for a significant relationship between television advertising and weekly gross revenue at the 0.05 level of significance. What is the interpretation of this relationship?
The input in the box below will not be graded, but may be reviewed and considered by your instructor.
(b) How much of the variation in the sample values of weekly gross revenue does the model in part (a) explain?
If required, round your answer to two decimal places.
%