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 weekty gross revenue as a function of advertising expenditures. Data for a sample of eight markets for a recent week follow. Gick on the datafile logo to reference the data. DATA (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 a significant relationship between the amount spent on television advertising and weekly gross revenue. The estimated Dixie Showtime Movie Theaters, Inc., owns and operates a chain of cinemas in several markets in the southern U.S. The bwners 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. Click on the datafile logo to reference the data. DATA (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 + ugn before the blank. (Example -300) Test for a significant relationship between teievision advertising and weekly gross revenue at the 0.05 level of significance. What is the interpretation of this retationship? There a significant relationship between the amount spent on television advertisina and weekly aross revenue. The estimated regression equation is the best estimate of the - Select your answer given the (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. os (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 xz represent the amount of newspaper advertising. If required, round your answers to three decimal piaces. For subtractive or negative numbers use a minus sign even if there is a + sign befcre the bionk. (Irampies -300) Test whether each of the regression parameters 0,2, and 2 is equaf to zero at a 0.05 level of significance. What are the correct interpretations of the estimated regreision parameters? Are these interpretations reasonable? (i) Bo is the estimate of the weeky gross revenue when television and newsaper advertising are both zero. g a is the estimate of changa in the weeky gross revenue if newspaper advertising is held constant and there is a $100 increase in television advertising. 82 is the eatimate of change in the weekly gross revenue if television advertising is held constant and there is a $100 increase in neaspoper advertising. The interpretation of llo is nat reasonable but the interpretations of 1 and 2 are reasonable. (ii) Ho is the estimate of the wendy gross revenue when television and newspaper advertisng are both zero. gt is the estimate of ehange in the weekiy gross revenue if television advertising is held constant and there is a $100 increase in newspaper advertisng. 92 is the estimate of ehange in the weekly gross revenue if newspaper advertising is held constant and there is a 5100 increase in televison advertising. The inkerpretation af po is abt reasonable but the intergretations of 1 and 2 are reascnable. (iii) \$o is the estimate of change in the weokly gross revenise if newspaper advertising is held constant and there is a s100 increase in television advertising. BI is the estimate of change in the weokly gross revenue if television advertising is heid constant asd there is a s1oo increaia in newspaper advertising, 2 is the estimate of the weekly gross revence when television and newspaper advertising are both zero. The interpreation weekly gross revenue if newspaper advertising is held constant and there is a $100 increase in television advertising. The interpretabion of g0 is not. reasonable but the interpretations of 1 and 2 are reasonable. (iii) Bo is the estimate of change in the weekly gross revenue if newspaper advertising is held constant and there is a sioo increase in television advertising. t is the estimate of change in the weekly gross rovenue if teievision advertising is held constant and there is a 5 too increase in newspaper advertising. 2 is the estimate of the weekly gross revenve when television and newspaper advertising are beeh zero. The intitrpretation of 0,1, and 2 are all reasonable. (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), whiat should your next step be? Explain. The input in the box beiow will not be graded, but mav be reviawed and considered by your instructor. (t) What are the managerial implications of these results? Management can feel confident that increased spending on advertising res atts in incrastd weekly grass revenue. The results also suggest that generating revenue. advertiaing may be allghtly more effective than advertising in 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 weekty gross revenue as a function of advertising expenditures. Data for a sample of eight markets for a recent week follow. Gick on the datafile logo to reference the data. DATA (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 a significant relationship between the amount spent on television advertising and weekly gross revenue. The estimated Dixie Showtime Movie Theaters, Inc., owns and operates a chain of cinemas in several markets in the southern U.S. The bwners 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. Click on the datafile logo to reference the data. DATA (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 + ugn before the blank. (Example -300) Test for a significant relationship between teievision advertising and weekly gross revenue at the 0.05 level of significance. What is the interpretation of this retationship? There a significant relationship between the amount spent on television advertisina and weekly aross revenue. The estimated regression equation is the best estimate of the - Select your answer given the (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. os (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 xz represent the amount of newspaper advertising. If required, round your answers to three decimal piaces. For subtractive or negative numbers use a minus sign even if there is a + sign befcre the bionk. (Irampies -300) Test whether each of the regression parameters 0,2, and 2 is equaf to zero at a 0.05 level of significance. What are the correct interpretations of the estimated regreision parameters? Are these interpretations reasonable? (i) Bo is the estimate of the weeky gross revenue when television and newsaper advertising are both zero. g a is the estimate of changa in the weeky gross revenue if newspaper advertising is held constant and there is a $100 increase in television advertising. 82 is the eatimate of change in the weekly gross revenue if television advertising is held constant and there is a $100 increase in neaspoper advertising. The interpretation of llo is nat reasonable but the interpretations of 1 and 2 are reasonable. (ii) Ho is the estimate of the wendy gross revenue when television and newspaper advertisng are both zero. gt is the estimate of ehange in the weekiy gross revenue if television advertising is held constant and there is a $100 increase in newspaper advertisng. 92 is the estimate of ehange in the weekly gross revenue if newspaper advertising is held constant and there is a 5100 increase in televison advertising. The inkerpretation af po is abt reasonable but the intergretations of 1 and 2 are reascnable. (iii) \$o is the estimate of change in the weokly gross revenise if newspaper advertising is held constant and there is a s100 increase in television advertising. BI is the estimate of change in the weokly gross revenue if television advertising is heid constant asd there is a s1oo increaia in newspaper advertising, 2 is the estimate of the weekly gross revence when television and newspaper advertising are both zero. The interpreation weekly gross revenue if newspaper advertising is held constant and there is a $100 increase in television advertising. The interpretabion of g0 is not. reasonable but the interpretations of 1 and 2 are reasonable. (iii) Bo is the estimate of change in the weekly gross revenue if newspaper advertising is held constant and there is a sioo increase in television advertising. t is the estimate of change in the weekly gross rovenue if teievision advertising is held constant and there is a 5 too increase in newspaper advertising. 2 is the estimate of the weekly gross revenve when television and newspaper advertising are beeh zero. The intitrpretation of 0,1, and 2 are all reasonable. (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), whiat should your next step be? Explain. The input in the box beiow will not be graded, but mav be reviawed and considered by your instructor. (t) What are the managerial implications of these results? Management can feel confident that increased spending on advertising res atts in incrastd weekly grass revenue. The results also suggest that generating revenue. advertiaing may be allghtly more effective than advertising in
