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 your numerical values to two decimal places. Let x1 represent the amount of television advertising in $1,000s and y represent the weekly gross revenue in $1,000s.)
ŷ =
(b) Develop an estimated regression equation with both television advertising and newspaper advertising as the independent variables. (Round your numerical values to two decimal places. Let x1 represent the amount of television advertising in $1,000s, x2 represent the amount of newspaper advertising in $1,000s, and y represent the weekly gross revenue in $1,000s.)
ŷ =
(c) Is the estimated regression equation coefficient for television advertising expenditures the same in part (a) and in part (b)?
---Select--- Yes No , it is in part (a) and in part (b).
Interpret the coefficient in each case.
In part (a) it represents the change in revenue due to a one-unit increase in television advertising expenditure. In part (b) it represents the change in revenue due to a one-unit increase in television advertising with newspaper advertising held constant. In part (a) it represents the change in revenue due to a one-unit increase in television advertising expenditure with newspaper advertising held constant. In part (b) it represents the change in revenue due to a one-unit increase in newspaper advertising with television advertising held constant. In part (a) it represents the change in revenue due to a one-unit increase in newspaper advertising expenditure with television advertising held constant. In part (b) it represents the change in revenue due to a one-unit increase in television advertising with newspaper advertising held constant. In part (a) it represents the change in revenue due to a one-unit increase in television advertising expenditure. In part (b) it represents the change in revenue due to a one-unit increase in newspaper advertising with television advertising held constant. In part (a) it represents the change in revenue due to a one-unit increase in television advertising with newspaper advertising held constant. In part (b) it represents the change in revenue due to a one-unit increase in television advertising expenditure.
(d)Predict weekly gross revenue (in dollars) for a week when $3,500 is spent on television advertising and $1,800 is spent on newspaper advertising. (Round your answer to the nearest cent.)
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