# Use the multiple regression output shown to answer the following questions. (a) Which variable might we try eliminating first to possibly improve this model?(b) What is R 2 for this model? Do we expect R 2 to increase, decrease, or remain the same if we eliminate the variable chosen in part (a)? What type of change in R 2 would

(a) Which variable might we try eliminating first to possibly improve this model?

(b) What is R^{2} for this model? Do we expect R^{2} to increase, decrease, or remain the same if we eliminate the variable chosen in part (a)? What type of change in R^{2} would indicate that removing the variable chosen in part (a) was a good idea? A bad idea?

(c) What is the p-value for ANOVA for the original3-predictor model? Is the p-value most likely to increase, decrease, or remain the same if we eliminate the variable chosen in part (a)? What type of change in the p-value for ANOVA would indicate that removing the variable chosen in part (a) was a good idea? A bad idea?

(d) What is the F-statistic from ANOVA for this model? Is this F-statistic most likely to increase, decrease, or remain the same if we eliminate an insignificant variable? What type of change in the F-statistic would indicate that removing the variable chosen in part (a) was a good idea?

Use the given output to answer questions about how a model might change.

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**Related Book For**

## Statistics Unlocking The Power Of Data

1st Edition

Authors: Robin H. Lock, Patti Frazer Lock, Kari Lock Morgan, Eric F. Lock, Dennis F. Lock

ISBN: 9780470601877