The owner of Showtime Movie Theaters, Inc., would like to predictweekly gross revenue as a function of advertising expenditures.Historical data for a sample of eight weeks follow. Weekly GrossRevenue($1000s) Television Advertising($1000s) Newspaper Advertising($1000s) 9690959295949494 5.02.04.02.53.03.52.53.0 1.52.01.52.53.32.34.22 .5 a. Develop an estimated regression equation with the amount oftelevision advertising as the independent variable.b. Develop an estimated regression equation with both televisionadvertising and newspaper advertising as the independent variables.c. Is the estimated regression equation coefficient for televisionadvertising expenditures the same in part (a) and in part (b)?Interpret the coefficient in each case.d. Predict weekly gross revenue for a week when $3500 is spent ontelevision advertising and $1800 is spent on newspaper advertising.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.CR: Chapter 7 Review
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The owner of Showtime Movie Theaters, Inc., would like to predict
weekly gross revenue as a function of advertising expenditures.
Historical data for a sample of eight weeks follow.

Weekly Gross
Revenue($1000s)
Television Advertising($1000s) Newspaper Advertising
($1000s)
96
90
95
92
95
94
94
94
5.0
2.0
4.0
2.5
3.0
3.5
2.5
3.0
1.5
2.0
1.5
2.5
3.3
2.3
4.2
2 .5

a. Develop an estimated regression equation with the amount of
television advertising as the independent variable.
b. Develop an estimated regression equation with both television
advertising and newspaper advertising as the independent variables.
c. Is the estimated regression equation coefficient for television
advertising expenditures the same in part (a) and in part (b)?
Interpret the coefficient in each case.
d. Predict weekly gross revenue for a week when $3500 is spent on
television advertising and $1800 is spent on newspaper advertising.

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