Answered step by step
Verified Expert Solution
Question
1 Approved Answer
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 | 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 |
Id) How much of the variation in the sample values ofweekly gross revenue does the model in part (c) explain? If required, round your answer to two decimal places. \"A: [2) 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. If) What are die managerial implications of these results? Management can feel condent that increased spending on klect you answer V advertising results in increased weekly gross revenue. The results also suggest that advertising may be slightly more effective than Se ect you answer - V advertising in genemting revenue. (a) Use the data to develop an estimated regression equation with doe amount of television advertising as the independent variable. Let x represent the amount of teievision 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) y = + x Test for a signicant relationship between television advertising and weekly gross revenue at the 0.05 ievel of signicance. What is the interpretation of this relationship? There 7 Se ct your answer V a signicant relationship between the amount spent on television advertising and weekly gross revenue. The estimated regression equation is the best estimate of the I Select your answer V given the - Select your answer V . (b) How much of die variation in the sampie values ofweekly gross revenue does the modei in part (a) explain? If required, round your answer to two decimai piaces. % (c) Use the data to develop an estimated regression equation with both television advertising and newspaper advertising as the independent variables. Let X; represent the amount of television advertising. Let xz 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) 3' = + x1 + X2 Test whether each of the regression parameters 39,31, and E; is equal to zero at a 0.05 levei of signicance. We , Select your answer 7 V conclude that 50 = CI. We - Select your answer V conclude that 51 : 0. We - Select your answer V conclude that 62 = 0. What are the correct interpretations of the estimated regression parameters? Are these interpretations reasonable? (i) Hg is the estimate of the weekly gross revenue when television and newspaper advertising are both zero. 31 is the estimate of change in the weekly gross revenue if television advertising is held constant and there is a $1.00 increase in newspaper advertising. 62 is the estimate of change in the weekiy gross revenue if newspaper advertising is held constant and there is a $100 increase in teievision advertising. The interpretation of g is not reasonabie but die interpretations of 51 and B; are reasonabie. (ii) Ho is the estimate of change in the weekiy gross revenue if newspaper advertising is held constant and there is a $100 increase in television advertising. 61 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. ,3; is the estimate of the weekiy gross revenue when television and newspaper advertising are both Zero. The interpretation of Ba, .61, and B; are all reasonable. Hg is the estimate of the weekly gross revenue when television and newspaper advertising are both zero. 61 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. 32 is the estimate of change in the weekiy gross revenue if television advertising is held constant and there is a $100 increase in newspaper advertising. The interpretation ofg is not reasonabie but the interpretations of B; and .81 are reasonabie
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started