The owner of Showtime Movie Theaters, Inc., would like to predict weekly gross revenue as a...
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Statistics
The owner of Showtime Movie Theaters, Inc., would like topredict weekly gross revenue as a function of advertisingexpenditures. Historical data for a sample of eight weeksfollow.
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 oftelevision advertising as the independent variable. (Round yournumerical values to two decimal places. Let x1represent the amount of television advertising in $1,000s andy represent the weekly gross revenue in $1,000s.)
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(b)
Develop an estimated regression equation with both televisionadvertising and newspaper advertising as the independent variables.(Round your numerical values to two decimal places. Letx1 represent the amount of televisionadvertising in $1,000s, x2 represent the amountof newspaper advertising in $1,000s, and y represent theweekly gross revenue in $1,000s.)
Å· =
(c)
Is the estimated regression equation coefficient for televisionadvertising 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 aone-unit increase in television advertising expenditure. In part(b) it represents the change in revenue due to a one-unit increasein television advertising with newspaper advertising heldconstant.In part (a) it represents the change in revenue due to aone-unit increase in television advertising expenditure withnewspaper advertising held constant. In part (b) it represents thechange in revenue due to a one-unit increase in newspaperadvertising with television advertising heldconstant.Ă‚ Ă‚ Ă‚ Ă‚ In part (a) it represents thechange in revenue due to a one-unit increase in newspaperadvertising expenditure with television advertising held constant.In part (b) it represents the change in revenue due to a one-unitincrease in television advertising with newspaper advertising heldconstant.In part (a) it represents the change in revenue due to aone-unit increase in television advertising expenditure. In part(b) it represents the change in revenue due to a one-unit increasein newspaper advertising with television advertising heldconstant.In part (a) it represents the change in revenue due to aone-unit increase in television advertising with newspaperadvertising held constant. In part (b) it represents the change inrevenue due to a one-unit increase in television advertisingexpenditure.
(d)
Predict weekly gross revenue (in dollars) for a week when $3,500is spent on television advertising and $1,800 is spent on newspaperadvertising. (Round your answer to the nearest cent.)
$
The owner of Showtime Movie Theaters, Inc., would like topredict weekly gross revenue as a function of advertisingexpenditures. Historical data for a sample of eight weeksfollow.
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 oftelevision advertising as the independent variable. (Round yournumerical values to two decimal places. Let x1represent the amount of television advertising in $1,000s andy represent the weekly gross revenue in $1,000s.)
Å· =
(b)
Develop an estimated regression equation with both televisionadvertising and newspaper advertising as the independent variables.(Round your numerical values to two decimal places. Letx1 represent the amount of televisionadvertising in $1,000s, x2 represent the amountof newspaper advertising in $1,000s, and y represent theweekly gross revenue in $1,000s.)
Å· =
(c)
Is the estimated regression equation coefficient for televisionadvertising 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 aone-unit increase in television advertising expenditure. In part(b) it represents the change in revenue due to a one-unit increasein television advertising with newspaper advertising heldconstant.In part (a) it represents the change in revenue due to aone-unit increase in television advertising expenditure withnewspaper advertising held constant. In part (b) it represents thechange in revenue due to a one-unit increase in newspaperadvertising with television advertising heldconstant.Ă‚ Ă‚ Ă‚ Ă‚ In part (a) it represents thechange in revenue due to a one-unit increase in newspaperadvertising expenditure with television advertising held constant.In part (b) it represents the change in revenue due to a one-unitincrease in television advertising with newspaper advertising heldconstant.In part (a) it represents the change in revenue due to aone-unit increase in television advertising expenditure. In part(b) it represents the change in revenue due to a one-unit increasein newspaper advertising with television advertising heldconstant.In part (a) it represents the change in revenue due to aone-unit increase in television advertising with newspaperadvertising held constant. In part (b) it represents the change inrevenue due to a one-unit increase in television advertisingexpenditure.
(d)
Predict weekly gross revenue (in dollars) for a week when $3,500is spent on television advertising and $1,800 is spent on newspaperadvertising. (Round your answer to the nearest cent.)
$
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