14.15) the computer output given here is the result of a stepwise multiple regre
ID: 3327229 • Letter: 1
Question
14.15)
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 = 108
STEP 1 2 3 4
CONSTANT 8.71 6.82 6.57 5.96
X3 -2.85 -4.92 -4.97 -5.00
T-RATIO 2.11 2.94 3.04 3.07
X1 4.42 3.72 3.22
T-RATIO 2.64 2.20 2.05
X2 1.91 1.78
T-RARION 2.07 2.02
X6 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
THE ANSWERS 4 predictors ,x4 and x5 are not in model.
explain how we get the answer above if there is any culculation please do Do not use Excel for solving or other program
Explanation / Answer
we don't need to do any calculation here
the stepwise regression shows the best linear regression at last step,
observe that with each step S is decreasing
Step 1 - include only x3
step 2 - include x3 and x1
step 3 - include x3,x1 and x2
step 4 - include x3,x1,x2 and x6
step 4 is best regression model
hence x4 and x5 are not included in it
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