The owner of Showtime Movie Theaters, Inc., used multiple regression analysis to predict gross revenue (y) as a function of television advertising (21) and newspaper advertising (Z2). Values of y, Z1, and 2 are expressed in thousands of dollars. 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 ý = 83.23 + 2.291 + 1.30x2 a. What is the gross revenue expected for a week where $3,500 is spent on television (z1 = 3.5) and $1,800 is spent on nevispaper advertising ( = 1.8) (to 3 decimals)? %3! %3! 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). (s thousand, s thousand)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
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The owner of Showtime Movie Theaters, Inc., used multiple regression analysis to predict gross revenue (y) as a function of television advertising (21) and newspaper advertising (Z2). Values of y, Z1, and are expressed in thousands of dollars.
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
ý = 83.23 + 2.291 + 1.30x2
a. What is the gross revenue expected for a week where $3,500 is spent on television (z1 = 3.5) and $1,800 is spent on nevspaper advertising ( = 1.8) (to 3 decimals)?
%3!
%3D
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).
(s
O thousand, s
thousand)
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 (21) and newspaper advertising (Z2). Values of y, Z1, and are expressed in thousands of dollars. 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 ý = 83.23 + 2.291 + 1.30x2 a. What is the gross revenue expected for a week where $3,500 is spent on television (z1 = 3.5) and $1,800 is spent on nevspaper advertising ( = 1.8) (to 3 decimals)? %3! %3D 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). (s O thousand, s thousand)
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