Explain the stepwise multiple regression analysis


Solve the following problem in detail:

Q: The computer output given here is the result of a stepwise multiple regression analysis to predict a dependent variable by using six predictor variables. The number of observations was 108. Study the output and discuss the results. How many predictors ended up in the model? Which predictors, if any, did not enter the model?

STEPWISE

REGRESSION OF Y ON 6

PREDICTORS, WITH N =

STEP

1

2

3

4

CONSTANT

8.71

6.82

6.57

5.96

X,

-2.85

-4.92

-4.97

-5.00

T-RATIO

2.11

2.94

3.04

3.07

Xi

 

4.42

3.72

3.22

T-RATIO

 

2.64

2.20

2.05

X2

 

 

1.91

1.78

T-RATIO

 

 

2.07

2.02

X,

 

 

 

1.56

T-RATIO

 

 

 

1.98

S

3.81

3.51

3.43

3.36

R-SQ

29.20

49.45

54.72

59.29

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Applied Statistics: Explain the stepwise multiple regression analysis
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