Y = 10 + 0.51X1 + 0.45X2 The coefficient of determination is 0.96

Essentials of Business Analytics (MindTap Course List)
2nd Edition
ISBN:9781305627734
Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Chapter13: Nonlinear Optimization Models
Section: Chapter Questions
Problem 10P: Phillips Inc. produces two distinct products, A and B. The products do not compete with each other...
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A manager uses regression to express sales as a function of advertising expenditures (X1), and per capita income (X2) in your sales area. The following multiple linear regression equation is developed:

 

Y = 10 + 0.51X1 + 0.45X2

The coefficient of determination is 0.96

 

Determine which of the following conclusions is valid regarding the coefficient of determination:

 

Multiple Choice
  •  

    The coefficient of determination should always be greater than one.

  •  

    More analysis is needed. The coefficient of determination leaves much unexplained.

  •  

    The coefficient of determination is positive because the constant term is positive.

  •  

    The regression line fits the data used in the sample very well. There is a strong indication of the relationship of the two variables with sales.

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