Question
1 Backward variable selectionis a technique for choosing the bestset of X variables for a regression model by: A. regressing Y on *all* X variables
1
"Backward variable selection"is a technique for choosing the "best"set of X variables for a regression model by:
A. | regressing Y on *all* X variables and then removing X variables one at a time that don't contribute to the model by some threshold amount. | |
B. | maximizes R2 | |
C. | regressing Y on no X variables and then adding one X variable to the model at a time until no more X variables improve the model at some threshold level | |
D. | sequentially adds and removes X variables in search of the best set of X variables |
2
If an X variable is added to a regression modelequation and that X variable does not improve the model at all,the F statistic will:
A. | increase because more "noise"is added to ESS/df | |
B. | decrease because MSS/dfdecreases while ESS/df increases | |
C. | stay the same because MSS/dfand ESS/dfchange at proportional rates | |
D. | decrease because MSS/dfdecreases while ESS/dfstays the same |
3
"No multicollinearity" is an OLS assumption that concerns:
A. | sphericity | |
B. | the partial correlationsof each X variable with the Y variable | |
C. | the absence of high correlations among the X variables | |
D. | the distribution of error terms |
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