Question
Hi I need help with the following questions. It is chapter 4 section 4.5 of the book: Essentials of Business Analytics+ LMS Integrated for CengageNOW
Hi
I need help with the following questions. It is chapter 4 section 4.5 of the book: Essentials of Business Analytics+ LMS Integrated for CengageNOW 1-Semester Printed Access Card(First Edition) Camm, Cochran, Fry, Ohlmann, Anderson, Sweeny, and Williams Cengage Learning 2015 iSB-10: 1-305-61560-3 ISBN: 978-1-305-61560-1
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. | |
% |
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