The owner of Showtime Movie Theaters, Inc., used multiple regression analysis to predict gross revenue (y) as a function of television advertising (a1) and newspaper advertising (*2). Values of y, a1, and z are expressed in thousands of dollars. Click on the datafile logo to reference the data. DATA file Weekly Gross Television Newspaper Advertising Advertising ($1000s) Revenue ($1000s) ($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 The estimated regression equation was û = 83.23 + 2.29x + 1.30a2 a. What is the gross revenue expected for a week where $3,500 is spent on television (21 = 3.5) and $1,800 is spent on newspaper advertising (22 = 1.8) (to 3 decimals)? thousand b. Provide a 95% prediction interval for next week's revenue, assuming that the advertising expenditures will be allocated as in part (a) (to 2 decimals). ($ thousand, $ thousand)
The owner of Showtime Movie Theaters, Inc., used multiple regression analysis to predict gross revenue (y) as a function of television advertising (a1) and newspaper advertising (*2). Values of y, a1, and z are expressed in thousands of dollars. Click on the datafile logo to reference the data. DATA file Weekly Gross Television Newspaper Advertising Advertising ($1000s) Revenue ($1000s) ($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 The estimated regression equation was û = 83.23 + 2.29x + 1.30a2 a. What is the gross revenue expected for a week where $3,500 is spent on television (21 = 3.5) and $1,800 is spent on newspaper advertising (22 = 1.8) (to 3 decimals)? thousand b. Provide a 95% prediction interval for next week's revenue, assuming that the advertising expenditures will be allocated as in part (a) (to 2 decimals). ($ thousand, $ thousand)
Chapter3: Polynomial Functions
Section: Chapter Questions
Problem 18T
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please assist, the question states to "click on the datafile logo to reference the data" but the data is listed already in the question. when clicking that link, it opens up the same information in excel so please do not reject because the data is there already.
Transcribed Image Text:The owner of Showtime Movie Theaters, Inc., used multiple regression analysis to predict gross revenue (y) as a function of television advertising (æ1) and newspaper advertising (2). Values of y, a1, and æ2 are expressed in thousands
of dollars.
Click on the datafile logo to reference the data.
DATA file
Weekly Gross
Television
Newspaper
Revenue
Advertising
Advertising
($1000s)
($1000s)
($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
The estimated regression equation was
ŷ = 83.23 + 2.29x1 + 1.30x2
a. What is the gross revenue expected for a week where $3,500 is spent on television (#1 = 3.5) and $1,800 is spent on newspaper advertising (x2 = 1.8) (to 3 decimals)?
thousand
b. Provide a 95% prediction interval for next week's revenue, assuming that the advertising expenditures will be allocated as in part (a) (to 2 decimals).
thousand, $
thousand )
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