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# Regression analysis using Minitab

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In this problem, a multiple linear regression analysis is done with the software Minitab and the results of the analysis are interpreted. Using the Minitab output, the following questions are answered.

a) Report the estimated regression equation and the value of R-square.
b) Construct a 95% confidence interval for the slope of one of the independent variables.
c) Test whether the slope is significantly different from 0. State the hypotheses, p-value and your decision.
d) Generate scatter plots to show the relationship between two of the variables.
e) Show how the value of R-square was computed in Minitab by using the ANOVA table.
f) Use the regression model to predict dependent variable values from given sets of given independent variables.
g) Repeat the regression after "smoothing" of variables.

##### Solution Summary

In this problem, a multiple linear regression analysis is done with the software Minitab and the results of the analysis are interpreted. Using the Minitab output, the following questions are answered.

a) Report the estimated regression equation and the value of R-square.
b) Construct a 95% confidence interval for the slope of one of the independent variables.
c) Test whether the slope is significantly different from 0. State the hypotheses, p-value and your decision.
d) Generate scatter plots to show the relationship between two of the variables.
e) Show how the value of R-square was computed in Minitab by using the ANOVA table.
f) Use the regression model to predict dependent variable values from given sets of given independent variables.
g) Repeat the regression after "smoothing" of variables.

##### Solution Preview

The solution to this posting was completed using Minitab Version 12. I have attached ...

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