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The ANOVA table from the regression analysis yields the F-statistic and its p-value. The p-value of the F-ratio has to be compared with the level of significance, say 0.05. If the p-value of F is less than 0.05, then we can conclude that there is significant linear relationship between sales and newspaper advertisement.

You have been provided with the following regression output. The dependent variable is unit sales of a product, and the independent variable is dollar value of newspaper advertising for that product. The unit of analysis is weeks; that is, each of the observations in underlying sample data represents a separate week of sales and newspaper advertising.

Regression Analysis: Sales versus Newspaper
the regression equation is
Sales = 6514 + 0.0386 Newspaper

 

Predictor            

Co-eff           

SE Co-eff        

T          

P

Constant

6514

1138

5.72

0.000

Newspaper

0.038625

0.005494

7.03

0.000

 

S = 5630.70   R-Sq = 24.3%   R-Sq(adj) = 23.8%


Analysis of Variance

Source   

DF           

SS                         

MS                     

F            

P          

Regression 

1

1567134272

1567134272

49.43

0.000

Residual Error

154

4882532724

31704758

 

 

Total 

155

6449666996

 

 

 


Is there a relationship between sales and newspaper?

Statistics and Probability, Statistics

  • Category:- Statistics and Probability
  • Reference No.:- M921054

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