Nixie 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, Weekly Gross Revenue Television Advertising Newspaper Advertising Market ($100s) ($100s) ($100s) Mobile 101.3 5.0 1.5 Shreveport 51.9 3.0 3.0 Jackson 74.8 4.0 1.5 Birmingham 126.2 4.3 4.3 Little Rock 137.8 3.6 4.0 Biloxi 101.4 3.5 2.3 New Orleans 237.8 5.0 8.4 Baton Rouge 219.6 6.9 5.8 a) Use the data to develop an estimated regression equation with the amount of television advertising as the independent variable. Let x represent 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) 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? There - Select your answer - v a significant relationship between the amount spent on television advertising and weekly gross revenue. The estimated regression equation is the best estimate of the - Select your answer - v given the - Select your answer- 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. Let x1 represent the amount of television advertising. Let x2 represent 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 + x2 Test whether each of the regression parameters Bo. Bt, and Bz is equal to zero at a 0.05 level of significance. We - Select your answer -v conclude that Bo- 0. We- Select your answer -V conclude that B - 0. We- Select your answer - - v conclude that B2 = 0.

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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.
Weekly Gross Revenue Television Advertising Newspaper Advertising
Market
($100s)
($100s)
($100s)
Mobile
101.3
5.0
1.5
Shreveport
51.9
3.0
3.0
Jackson
74.8
4.0
1.5
Birmingham
126.2
4.3
4.3
Little Rock
137.8
3.6
4.0
Biloxi
101.4
3.5
2.3
New Orleans
237.8
5.0
8.4
Baton Rouge
219.6
6.9
5.8
(a) Use the data to develop an estimated regression equation with the amount of television advertising as the independent variable.
Let x represent 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)
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?
There- Select your answer - V
a significant relationship between the amount spent on television advertising and weekly gross revenue. The estimated regression equation is the best estimate of the
Select your answer -
V given the
- Select your answer -
(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.
Let x1 represent the amount of television advertising.
Let x2 represent 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 +
X2
Test whether each of the regression parameters Bo, B1, and B2 is equal to zero at a 0.05 level of significance.
We
Select your answer - V
conclude that Bo = 0.
We
Select your answer - V conclude that B1 = 0.
We
Select your answer - ♥
conclude that B2 = 0.
Transcribed Image Text: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. Weekly Gross Revenue Television Advertising Newspaper Advertising Market ($100s) ($100s) ($100s) Mobile 101.3 5.0 1.5 Shreveport 51.9 3.0 3.0 Jackson 74.8 4.0 1.5 Birmingham 126.2 4.3 4.3 Little Rock 137.8 3.6 4.0 Biloxi 101.4 3.5 2.3 New Orleans 237.8 5.0 8.4 Baton Rouge 219.6 6.9 5.8 (a) Use the data to develop an estimated regression equation with the amount of television advertising as the independent variable. Let x represent 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) 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? There- Select your answer - V a significant relationship between the amount spent on television advertising and weekly gross revenue. The estimated regression equation is the best estimate of the Select your answer - V given the - Select your answer - (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. Let x1 represent the amount of television advertising. Let x2 represent 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 + X2 Test whether each of the regression parameters Bo, B1, and B2 is equal to zero at a 0.05 level of significance. We Select your answer - V conclude that Bo = 0. We Select your answer - V conclude that B1 = 0. We Select your answer - ♥ conclude that B2 = 0.
What are the correct interpretations of the estimated regression parameters? Are these interpretations reasonable?
(i) Bo is the estimate of the weekly gross revenue when television and newspaper advertising are both zero. ß1 is the estimate of change in the weekly gross revenue if television advertising is held constant and there is a $100 increase in newspaper advertising. B2 is the
estimate of change in the weekly gross revenue if newspaper advertising is held constant and there is a $100 increase in television advertising. The interpretation of Bo is not reasonable but the interpretations of B1 and B2 are reasonable.
(ii) Bo is the estimate of change in the weekly gross revenue if newspaper advertising is held constant and there is a $100 increase in television advertising. B1 is the estimate of change in the weekly gross revenue if television advertising is held constant and there is a $100
increase in newspaper advertising. B2 is the estimate of the weekly gross revenue when television and newspaper advertising are both zero. The interpretation of Bo, B1, and B2 are all reasonable.
(iii) Bo is the estimate of the weekly gross revenue when television and newspaper advertising are both zero. B1 is the estimate of change in the weekly gross revenue if newspaper advertising is held constant and there is a $100 increase in television advertising. B2 is the
estimate of change in the weekly gross revenue if television advertising is held constant and there is a $100 increase in newspaper advertising. The interpretation of Bo is not reasonable but the interpretations of B1 and B2 are reasonable.
-Select your answer - V
(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.
(e) Given the results in part (a) and part (c), what should your next step be? Explain.
The input in the box below will not be graded, but may be reviewed and considered by your instructor.
blank
(f) What are the managerial implications of these results?
Management can feel confident that increased spending on
Select your answer -
V advertising results in increased weekly gross revenue. The results also suggest that - Select your answer - VV advertising may be slightly more effective than
- Select your answer - V advertising in generating revenue.
Transcribed Image Text:What are the correct interpretations of the estimated regression parameters? Are these interpretations reasonable? (i) Bo is the estimate of the weekly gross revenue when television and newspaper advertising are both zero. ß1 is the estimate of change in the weekly gross revenue if television advertising is held constant and there is a $100 increase in newspaper advertising. B2 is the estimate of change in the weekly gross revenue if newspaper advertising is held constant and there is a $100 increase in television advertising. The interpretation of Bo is not reasonable but the interpretations of B1 and B2 are reasonable. (ii) Bo is the estimate of change in the weekly gross revenue if newspaper advertising is held constant and there is a $100 increase in television advertising. B1 is the estimate of change in the weekly gross revenue if television advertising is held constant and there is a $100 increase in newspaper advertising. B2 is the estimate of the weekly gross revenue when television and newspaper advertising are both zero. The interpretation of Bo, B1, and B2 are all reasonable. (iii) Bo is the estimate of the weekly gross revenue when television and newspaper advertising are both zero. B1 is the estimate of change in the weekly gross revenue if newspaper advertising is held constant and there is a $100 increase in television advertising. B2 is the estimate of change in the weekly gross revenue if television advertising is held constant and there is a $100 increase in newspaper advertising. The interpretation of Bo is not reasonable but the interpretations of B1 and B2 are reasonable. -Select your answer - V (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. (e) Given the results in part (a) and part (c), what should your next step be? Explain. The input in the box below will not be graded, but may be reviewed and considered by your instructor. blank (f) What are the managerial implications of these results? Management can feel confident that increased spending on Select your answer - V advertising results in increased weekly gross revenue. The results also suggest that - Select your answer - VV advertising may be slightly more effective than - Select your answer - V advertising in generating revenue.
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