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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