In the owner of Showtime Movie Theaters, Inc., used multiple regression analysis to predict gross revenue ( y ) as a function of television advertising ( x 1 ) and newspaper advertising ( x 2 ). The...


In the owner of Showtime Movie Theaters, Inc., used multiple regression analysis to predict gross revenue (y) as a function of television advertising (x
1) and newspaper advertising (x
2). The estimated regression equation was



















































Weekly Gross Revenue ($1000s)



Television Advertising ($1000s)



Newspaper Advertising ($1000s)



96



5.0



1.5



90



2.0



2.0



95



4.0



1.5



92



2.5



2.5



95



3.0



3.3



94



3.5



2.3



94



2.5



4.2



94



3.0



2.5



 = 83.2 +2.29x
1 + 1.30x
2


a. What is the gross revenue expected for a week when $3500 is spent on television advertising (x
1 = 3.5) and $1800 is spent on newspaper advertising (x
2 = 1.8)?


b. Provide a 95% confidence interval for the mean revenue of all weeks with the expenditures listed in part (a).


c. Provide a 95% prediction interval for next week’s revenue, assuming that the advertising expenditures will be allocated as in part (a).




May 25, 2022
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