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Part A) Unlike the coefficient of determination, _______ can decrease as additional explanatory variables are added to the regression model. adjusted R 2 the number

Part A) Unlike the coefficient of determination, _______ can decrease as additional explanatory variables are added to the regression model.

adjusted R 2 the number of observations

the null hypothesis

the population errors

More than one above.

None of the above.

Part B)

If the null hypothesis is rejected for a partial F test, then the preferred model is:

the reduced model.
the full model.
indeterminate.
None of the above

Part C)

Which of the following isfalse about making predictions using a multiple regression model?

Prediction intervals for particular values are wider than confidence intervals for the conditional mean.
A prediction interval becomes wider when the prediction is based on a value of X that is further away from the sample mean.
The point prediction used to construct a prediction interval is the same as the point prediction used to construct a confidence interval for the conditional mean.
None of the above.

Part D)

If there is a high amount of correlation between the dependent variable and the explanatory variable, then we likely have:

no evidence of a linear relationship.
multicollinearity.
a small coefficient of determination.
None of the above

Please give proper explanation

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