Question: The data in Table B.5 present the performance of a chemical process as a function of sever controllable process variables. a. Fit a multiple regression

The data in Table B.5 present the performance of a chemical process as a function of sever controllable process variables.

a. Fit a multiple regression model relating CO 2 product ( y ) to total solvent

( x6 ) and hydrogen consumption ( x7 ).

b. Test for signifi cance of regression. Calculate R2 and RAdj 2 .

c. Using t tests determine the contribution of x6 and x7 to the model.

d. Construct 95% CIs on β6 and β7 .

e. Refi t the model using only x6 as the regressor. Test for signifi cance of regression and calculate R2 and RAdj 2 . Discuss your fi ndings. Based on these statistics, are you satisfi ed with this model?

f. Construct a 95% CI on β6 using the model you fi t in part

e. Compare the length of this CI to the length of the CI in part

d. Does this tell you anything important about the contribution of x7 to the model?
g. Compare the values of MSRes obtained for the two models you have fi t (parts a and e). How did the MSRes change when you removed x7 from the model? Does this tell you anything importaut about the contributiou of x7 to the model?

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