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
($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
The owner then used multiple regression analysis to predict
gross revenue
(y),
in thousands of dollars, as a function of television
advertising
(x1),
in thousands of dollars, and newspaper advertising
(x2),
in thousands of dollars. The estimated regression equation
was
ŷ = 83.2 + 2.29x1 + 1.30x2.
(a)What is the gross revenue (in dollars) expected for a week
when $2,000 is spent on television advertising
(x1 = 2)and $2,000 is spent on newspaper
advertising(x2 = 2)?
(Round your answer to the nearest dollar.)
$___________________________.
(b)Provide a 95% confidence interval (in dollars) for the mean
revenue of all weeks with the expenditures listed in part (a).
(Round your answers to the nearest dollar.)
$__________________ to $________________________.
(c)Provide a 95% prediction interval (in dollars) for next
week's revenue, assuming that the advertising expenditures will be
allocated as in part (a). (Round your answers to the nearest
dollar.)
$__________________ to $____________________.
The owner of Showtime Movie Theaters, Inc., would like to predict weekly gross revenue as a function of advertising expe
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The owner of Showtime Movie Theaters, Inc., would like to predict weekly gross revenue as a function of advertising expe
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