Question

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}).

Weekly Gross Revenue( s) |
Televison Advertising( s) |
Newspaper Advertising( s) |

97 | 5 | 2.5 |

91 | 2 | 2 |

96 | 5 | 2.5 |

93 | 2.5 | 3.5 |

96 | 4 | 4.3 |

95 | 4.5 | 2.3 |

95 | 3.5 | 5.2 |

95 | 4 | 3.5 |

The estimated
regression equation was y^ = 86.7 + 1.66x_{1} -
.54x_{2}

The computer solution provided .

**a.**
Compute R^{2} (to 3 decimals).

Compute
R_{a}^{2} (to 3 decimals).

**b.**
When television advertising was the only independent variable,
R^{2} = .86 and R_{a}^{2} = .837 . Are the
multiple regression analysis results preferable?

[- Select your answer -] No, because less variability is explained when both independent variables are used / Yes, because greater variability is explained when both independent variables are used

Answer #1

The owner of a movie theater company used multiple regression
analysis to predict gross revenue (y)
as a function of television advertising
(x1) and newspaper advertising
(x2). The estimated regression
equation was
ŷ = 82.5 + 2.26x1 +
1.30x2.
The computer solution, based on a sample of eight weeks,
provided SST = 25.3 and SSR = 23.415.
(a)Compute and interpret R2
and Ra2.
(Round your answers to three decimal places.)
The proportion of the variability in the dependent variable that...

The owner of a movie theater company used multiple regression
analysis to predict gross revenue (y) as a
function of television advertising
(x1) and newspaper advertising
(x2).The estimated regression equation
was
ŷ = 83.1 + 2.23x1 +
1.30x2.
The computer solution, based on a sample of eight weeks,
provided SST = 25.4 and SSR = 23.395.
(a) Compute and interpret R2 and
Ra2.
(Round your answers to three decimal places.)
The proportion of the variability in the dependent variable that...

The owner of a movie theater company used multiple regression
analysis to predict gross revenue (y) as a
function of television advertising
(x1) and newspaper
advertising (x2). The
estimated regression equation was
ŷ = 83.8 + 2.26x1 +
1.50x2.
The computer solution, based on a sample of eight weeks,
provided SST = 25.8 and SSR = 23.385.
(a) Compute and
interpret R2 and
Ra2.
(Round your answers to three decimal places.)
The proportion of the variability in the dependent variable that
can be...

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
($1,000s)
Television
Advertising
($1,000s)
Newspaper
Advertising
($1,000s)
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
(a)
Develop an estimated regression equation with the amount of
television advertising as the independent variable. (Round...

The following data describes weekly gross revenue, television
advertising, and newspaper advertising for Showtime Movie
Theaters.
Weekly Gross Revenue ($1000s)
Televison Advertising ($1000s)
Newspaper Advertising ($1000s)
96
5
1.5
90
2
2
95
4
1.5
92
2.5
2.5
95
3
3.3
94
3.5
2.3
94
2.5
4.2
94
3
2.5
1. Find an estimated regression equation relating weekly gross
revenue to television advertising expenditures and newspaper
advertising expenditures (Round to 2 decimals).
where = Television Advertising ($1000s)
and = Newspaper Advertising ($1000s)....

Use computer software packages, such as Minitab or Excel, to
solve this problem. 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
Television
Newspaper
Gross Revenue
Advertising
Advertising
($1,000s)
($1,000s)
($1,000s)
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
a. Develop an estimated...

Use computer software packages, such as Minitab or Excel, to
solve this problem.
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
Television
Newspaper
Gross Revenue
Advertising
Advertising
($1,000s)
($1,000s)
($1,000s)
95
5.0
1.5
90
2.0
2.0
95
4.0
1.5
92
2.5
2.5
99
3.0
3.3
94
3.5
2.3
94
2.5
4.2
103
3.0
2.5
a. Develop an estimated...

The owner of a movie theater company 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
($1,000s)
Television
Advertising
($1,000s)
Newspaper
Advertising
($1,000s)
96
5
1.5
91
2
2
95
4
1.5
93
2.5
2.5
95
3
3.3
94
3.5
2.3
94
2.5
4.1
94
3
2.5
(a)Use α = 0.01 to test the hypotheses
H0:
β1 = β2 = 0
Ha:
β1 and/or...

The owner of a movie theater company 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
($1,000s)
Television
Advertising
($1,000s)
Newspaper
Advertising
($1,000s)
96
5
1.5
90
2
2
95
4
1.5
93
2.5
2.5
95
3
3.3
94
3.5
2.2
94
2.5
4.1
94
3
2.5
(a)
Use α = 0.01 to test the hypotheses
H0:
β1 = β2 = 0
Ha:
β1...

1. The owner of a movie theater company 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
($1,000s)
Television
Advertising
($1,000s)
Newspaper
Advertising
($1,000s)
96
5
1.5
91
2
2
95
4
1.5
93
2.5
2.5
95
3
3.3
94
3.5
2.2
94
2.5
4.1
94
3
2.5
(a) Use α = 0.01 to test the hypotheses
H0:
β1 = β2 = 0
Ha:...

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