15. The following output was obtained from a multiple regression analysls. Analysis of Variance Source DF SS MS Regression Residual Error 100 20 20 40 2 Total 25 140 Predictor Coefficient SE Coefficient t Constant 3.00 1.50 2.00 X1 4.00 3.00 1.33 X2 3.00 0.20 15.00 X3 0.20 0.05 4.00 X4 -2.50 1.00 -2.50 Xs 3.00 4.00 0.75 a. What is the sample size? b. Compute the value of R2. c. Compute the multiple standard error of estimate. d. Conduct a global test of hypothesis to determine whether any of the regression coefficlents are significant. Use the .05 significance level. e. Test the regresslon coefficients individually. Would you consider omitting any varl- able(s)? If so, which one(s)? Use the .05 significance level.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter4: Equations Of Linear Functions
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15. The following output was obtained from a multiple regression analysis.
Analysis of Variance
DF
Source
S
MS
Regression
Residual Error
5
100
20
20
40
2
Total
25
140
Predictor
Coefficient SE Coefficient
t
Constant
3.00
1.50
2.00
X1
4.00
3.00
1.33
X2
3.00
0.20
15.00
X3
0.20
0.05
4.00
X4
-2.50
1.00
-2.50
Xs
3.00
4.00
0.75
a. What is the sample size?
b. Compute the value of R2.
c. Compute the multiple standard error of estimate.
d. Conduct a global test of hypothesis to determine whether any of the regression
coefficients are significant. Use the .05 significance level.
e. Test the regression coefficients individually. Would you consider omitting any vari-
able(s)? If so, which one(s)? Use the .05 significance level.
Transcribed Image Text:15. The following output was obtained from a multiple regression analysis. Analysis of Variance DF Source S MS Regression Residual Error 5 100 20 20 40 2 Total 25 140 Predictor Coefficient SE Coefficient t Constant 3.00 1.50 2.00 X1 4.00 3.00 1.33 X2 3.00 0.20 15.00 X3 0.20 0.05 4.00 X4 -2.50 1.00 -2.50 Xs 3.00 4.00 0.75 a. What is the sample size? b. Compute the value of R2. c. Compute the multiple standard error of estimate. d. Conduct a global test of hypothesis to determine whether any of the regression coefficients are significant. Use the .05 significance level. e. Test the regression coefficients individually. Would you consider omitting any vari- able(s)? If so, which one(s)? Use the .05 significance level.
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