Problem 4 9 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 5 5 1 1 6 Shreveport 52 7 3 2 3 Jackson 75 8 4 1 5 Birmingham 127 8 4 3 4 Little Rock 137 8 3 5 4 3 Biloxi 101 4 3 6 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 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 (c) Use the data to develop an estimated regression equation with both television advertising and newspaper advertising as the independent variables Letx 1 represent the amount of television advertising Letx 2 represent the amount of newspaper 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 1 x 2 Is the overall regression statistically significant at the 0 05 level of significance If so, then test whether each of the regression parameters 0 , 1 , and 2 is equal to zero at a 0 05 level of significance What are the correct interpretations of the estimated regression parameters Are these interpretations reasonable The input in the box below will not be graded, but may be reviewed and considered by your instructor (d) How much of the variation in the sample values of weekly gross revenue does the model in part (c) explain If required, round your answer to two decimal places

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Problem 4-9 Dixie Showtime Movie Theaters, Inc., owns and operates a chain of cinemas in several markets in the southern U.S. The owners would like

Problem 4-9

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	102.5	5.1	1.6
Shreveport	52.7	3.2	3
Jackson	75.8	4	1.5
Birmingham	127.8	4.3	4
Little Rock	137.8	3.5	4.3
Biloxi	101.4	3.6	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 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.
%

(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 four decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300)
=+x₁+x₂

Is the overall regression statistically significant at the 0.05 level of significance? If so, then test whether each of the regression parameters₀,₁, and₂is equal to zero at a 0.05 level of significance. What are the correct interpretations of the estimated regression parameters? Are these interpretations reasonable?
The input in the box below will not be graded, but may be reviewed and considered by your instructor.


(d)	How much of the variation in the sample values of weekly gross revenue does the model in part (c) explain?
If required, round your answer to two decimal places.
%