Use the multiple regression output shown to answer the following questions. (a) Which variable might we try

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Use the multiple regression output shown to answer the following questions.

The regression equation is Y = 15.1 + 0.135 X1 - 0.696 X2 + 0.025 X3 Predictor Coef SE Coef т Constant 15.069 5.821 2.5

(a) Which variable might we try eliminating first to possibly improve this model?
(b) What is R2 for this model? Do we expect R2 to increase, decrease, or remain the same if we eliminate the variable chosen in part (a)? What type of change in R2 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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Statistics Unlocking The Power Of Data

ISBN: 9780470601877

1st Edition

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

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