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The following is output from regression analysis performed to develop a model fo

ID: 3157874 • Letter: T

Question

The following is output from regression analysis performed to develop a model for predicting a firm’s Price-Earnings Ratio (PE) based on Growth Rate, Profit Margin, and whether or not the firm is Green (1 = Yes, 0 = No).

The regression equation is

PE= 8.04 + 0.757 Growth Rate + 0.0516 Profit Margin + 2

Predictor           Coef       SE Coef           T                P

Constant         8.043          1.570          5.12          0.000

Growth Rate   0.7569        0.1355        5.59          0.000

Profit Margin 0.05162      0.03239       1.59          0.139

Green?          2.0900        0.7945        2.63           0.023

S = 1.12583       R-Sq = 87.8%

Analysis of Variance

Source                       DF                  SS                MS           F                P

Regression               3                100.709           33.570       26.48        0.000

Residual Error         11                13.942             1.267        

Total                         14               114.651        

Based on the F-statistic and associated p-value, we can conclude at = .05 that A. the regression equation is not significant. B. all independent variables in the model are significant. C. the regression equation is significant. D. none of the independent variables in the model are significant. E. both B and C.

Explanation / Answer

Based on the F-statistic and associated p-value, we can conclude at = .05 that

B. all independent variables in the model are significant.

and C. the regression equation is significant.

Since, P=0.000 which is less than alpha=0.05