Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
9th Edition
ISBN: 9781319013387
Author: David S. Moore, George P. McCabe, Bruce A. Craig
Publisher: W. H. Freeman
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Chapter 11, Problem 44E
To determine

To test: A regression to predict the VO using OC.

Expert Solution
Check Mark

Answer to Problem 44E

Solution: The regression equation is

VO=558+9.92 OC

with S=387.351 and R2=20.7%.

The ANOVA is given below:

Degrees of freedom

Sum of Squares

Mean sum of squares

F-statistic

P-value

Regression

1

1134474

1134474

7.56

0.010

Residual

29

4351193

150041

Total

30

5485667

Explanation of Solution

Calculation: To perform the regression analysis to predict VO, Minitab is used. The steps to be followed are

Step 1: Open the Minitab worksheet.

Step 2: Go to Stat > Regression > Regression.

Step 3: Select “ VO ” in Response and select “OC” in Predictors.

Step 4: Go to graph and select residual versus fits.

Step 5: Click “OK.”

The estimated regression equation is

VO=558+9.92 OC

with F=7.56 and Pvalue=0.010.

Conclusion: Since the P-value is less than 0.05, the result is significant. The variation in the variable VO is 20.7%.

To determine

To test: A regression to predict the VO using TRAP.

Expert Solution
Check Mark

Answer to Problem 44E

Solution: The regression equation is

VO=301+44.4 TRAP

with S=319.727 and R2=46.0%.

The ANOVA is given below:

Degrees of freedom

Sum of Squares

Mean sum of squares

F-statistic

P-value

Regression

1

2521128

2521128

24.66

0.000

Residual

29

2964539

102225

Total

30

5485667

Explanation of Solution

Calculation: To perform the regression analysis to predict VO, Minitab is used. The steps to be followed are

Step 1: Open the Minitab worksheet.

Step 2: Go to Stat > Regression > Regression.

Step 3: Select “ VO ” in Response and select “TRAP” in Predictors.

Step 4: Go to graph and select residual versus fits.

Step 5: Click “OK.”

The estimated regression equation is

VO=301+44.4 TRAP

with F=24.66 and P-value=0.000.

Conclusion: Since the P-value is less than 0.05, the result is significant. The variation in the variable VO is 46.0%.

To determine

To test: A regression to predict the VO using OC and TRAP.

Expert Solution
Check Mark

Answer to Problem 44E

Solution: The Regression equation is

VO=3091.87OC+ 48.5 TRAP

with S=324.353 and R2=46.3%.

The ANOVA is given below:

Degrees of freedom

Sum of Squares

Mean sum of squares

F-statistic

P-value

Regression

2

2539934

1269967

12.07

0.000

Residual

28

2945733

105205

Total

30

5485667

Explanation of Solution

Calculation: To perform the regression analysis to predict VO, Minitab is used. The steps to be followed are

Step 1: Open the Minitab worksheet.

Step 2: Go to Stat > Regression > Regression.

Step 3: Select “ VO ” in Response and select “OC and TRAP” in Predictors.

Step 4: Go to graph and select residual versus fits.

Step 5: Click “OK.”

The estimated regression equation is

VO=3091.87OC+ 48.5 TRAP

with F=12.07 and P-value=0.000.

Conclusion: Since the P-value is less than 0.05, the result is significant. The variation in the variable VO is 46.3%.

To determine

To test: A regression to predict the VO using OC, TRAP, and VO+.

Expert Solution
Check Mark

Answer to Problem 44E

Solution: The regression equation is

VO=2676.51OC+ 9.48TRAP+0.724 VO+

with S=179.162 and R2=84.2%.

The ANOVA is given below:

Degrees of freedom

Sum of Squares

Mean sum of squares

F-statistic

P-value

Regression

3

4618997

1539666

47.97

0.000

Residual

27

866669

32099

Total

30

5485667

Explanation of Solution

Calculation: To perform the regression analysis to predict VO, Minitab is used. The steps to be followed are

Step 1: Open the Minitab worksheet.

Step 2: Go to Stat > Regression > Regression.

Step 3: Select “ VO ” in Response and select “OC, TRAP and VO+ ” in Predictors.

Step 4: Go to graph and select residual versus fits.

Step 5: Click “OK.”

The estimated regression equation is

VO=2676.51OC+ 9.48TRAP+0.724 VO+

with F=47.97 and P-value=0.000.

Conclusion: Since the P-value is less than 0.05, the result is significant. The variation in the variable VO is 84.2%.

To determine

To test: A regression to predict the VO using OC and VO+.

Expert Solution
Check Mark

Answer to Problem 44E

Solution: The regression equation is

VO=2985.25OC+0.778 VO+

with S=179.688 and R2=83.5%.

The ANOVA is given below:

Degrees of freedom

Sum of Squares

Mean sum of squares

F-statistic

P-value

Regression

2

4581607

2290804

70.95

0.000

Residual

28

904060

32288

Total

30

5485667

Explanation of Solution

Calculation: To perform the regression analysis to predict VO, Minitab is used. The steps to be followed are

Step 1: Open the Minitab worksheet.

Step 2: Go to Stat > Regression > Regression.

Step 3: Select “ VO ” in Response and select “OC and VO+ ” in Predictors.

Step 4: Go to graph and select residual versus fits.

Step 5: Click “OK.”

The estimated regression equation is

VO=2985.25OC+0.778 VO+

with F=70.95 and P-value=0.000.

Conclusion: Since the P-value is less than 0.05, the result is significant. The variation in the variable VO is 83.5%.

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