Question

(2) The following are regression results for the model with five independent variables. PREDICTOR                          

(2)

The following are regression results for the model with five independent variables.

PREDICTOR                              COEF             STDEV                       

Constant                                     -19.672           5.422

OUTLETS                                   -0.00063       0.00264

CARS                                            1.7399          0.5530

INCOME                                      0.4099          0.04385

AGE                                              2.0357          0.8779

BOSSES                                     -0.0344          0.1880

SSRegression = 1593. 81                                            SS (total) = 1602.89

b.    What percent of the variation in sales does the regression equation explain? (5 pts)

       99.43%

c.    Conduct a global test to determine if ANY of the independent variables are linearly related to annual sales.  Use alpha = .01. (16 pts)

d.    What variables would you consider eliminating from this model? Why? Seat of the pants guesses are not acceptable. What is your evidence? (6 pts)

Someone suggests the following model and provides the computer printout below.

PREDICTOR                              COEF             STDEV                       

Constant                                     -18.924           3.636

CARS                                          1.6129            0.1979

INCOME                                     0.40031          0.01569

AGE                                            1.9637            0.5846

SSE = 9.33

e.    How much has R-squared changed from the 5 variable model to the 3 variable model? (6 pts)

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