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)
965.01.5
902.02.0
954.01.5
922.52.5
953.03.3
943.52.3
942.54.2
943.02.5

(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 isĂ‚ Ă‚ in part (a)andĂ‚ Ă‚ 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.)

$

Answer & Explanation Solved by verified expert
4.3 Ratings (759 Votes)
a The estimated regression equation between the gross revenuewith the amount of television advertising as the independentvariable is given by 8864 161x1 where x1 represents theamount of television advertising in 1000s and represents the predicted weekly gross    See Answer
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