Dixie Showtime Movie Theaters, Inc., owns and operates a chain of cinemas in several markets in...

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Advance Math

Dixie Showtime Movie Theaters, Inc., owns and operates a chainof cinemas in several markets in the southern U.S. The owners wouldlike to estimate weekly gross revenue as a function of advertisingexpenditures. Data for a sample of eight markets for a recent weekfollow.


  Market
Weekly Gross Revenue
($100s)
Television Advertising
($100s)
Newspaper Advertising
($100s)
  Mobile101.34.91.4
  Shreveport52.93.13.2
  Jackson75.84.21.5
  Birmingham127.24.54.3
  Little Rock137.83.64.0
  Biloxi102.43.52.3
  New Orleans236.85.08.4
  Baton Rouge220.66.85.9
(a)Use the data to develop an estimated regression equation withthe amount of television advertising as the independentvariable.
Let x represent the amount of televisionadvertising.
If required, round your answers to three decimal places. Forsubtractive or negative numbers use a minus sign even if there is a+ sign before the blank. (Example: -300)
=  +  x
Test for a significant relationship between televisionadvertising and weekly gross revenue at the 0.05 level ofsignificance. What is the interpretation of this relationship?
The input in the box below will not be graded, but may bereviewed and considered by your instructor.
(b)How much of the variation in the sample values of weekly grossrevenue does the model in part (a) explain?
If required, round your answer to two decimal places.
%
(c)Use the data to develop an estimated regression equation withboth television advertising and newspaper advertising as theindependent variables.
Let x1 represent the amount of televisionadvertising.
Let x2 represent the amount of newspaperadvertising.
If required, round your answers to three decimal places. Forsubtractive or negative numbers use a minus sign even if there is a+ sign before the blank. (Example: -300)
=  +  x1+  x2
Test whether each of the regression parameters?0, ?1, and?2 is equal to zero at a 0.05 level ofsignificance. What are the correct interpretations of the estimatedregression parameters? Are these interpretations reasonable?
The input in the box below will not be graded, but may bereviewed and considered by your instructor.
(d)How much of the variation in the sample values of weekly grossrevenue does the model in part (c) explain?
If required, round your answer to two decimal places.
%
(e)Given the results in part (a) and part (c), what should yournext step be? Explain.
The input in the box below will not be graded, but may bereviewed and considered by your instructor.
(f)What are the managerial implications of these results?
The input in the box below will not be graded, but may bereviewed and considered by your instructor.

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