Question 1

The test of significance of the coefficient of multiple determination tests which one of the following?

Accepted Answer

A)   each individual partial slope
B)   each regression coefficient in the model
C)   individual unstandardized regression coefficients
D)   overall model fit of the independent variables in aggregate D

Question 2

Which one of the following reflects a semipartial correlation?

Accepted Answer

A)   bivariate correlation between X1 and X2
B)   correlation between X1 and X2 where X3 is removed from X2 only
C)   correlation between X1 and X2 where X3 is removed from X1 and X2
D)   perfect correlation between X1 and X2 B

Question 3

The coefficient of multiple determination provides what type of information?

Accepted Answer

A)   the correlation between X1 and X2 where X3 is removed from X2 only
B)   the linear relationship between X2 and X3 that are independent of the linear influence of X1
C)   the number of standard deviations difference between groups
D)   the proportion of total variation in the dependent variable Y that is predicted from the set of predictor variables D

Question 4

In the event of perfect collinearity, which one of the following can occur?

Accepted Answer

A)   The partial correlation can be greater than its corresponding bivariate correlation
B)   The partial correlation can be less than its corresponding bivariate correlation
C)   The partial correlation can be equal to zero when its bivariate correlation is not
D)   All of the above
E)   None of the aboveFeedback: Perfect collinearity is a serious problem that can cause any option, a, b, or c, to occur.

Question 5

A partial correlation where X3 is partialed out from the correlation between X1and X2 indicates which one of the following?

Accepted Answer

A)   Both X1 and X3 have been adjusted for X2
B)   The linear relationship between X2 and X3 are independent of the linear influence of X1
C)   The influence of X2 is removed from both X1 and X3
D)   X3 is the control variable

Question 6

Which one of the following methods of entering predictors eliminates predictors based on their minimal contribution to the prediction of the dependent variable?

Accepted Answer

A)   backward elimination
B)   forward selection
C)   simultaneous entry
D)   stepwise selection

Question 7

Semipartial correlations are also referred to as which one of the following?

Accepted Answer

A)   multicollinearity
B)   part correlation
C)   partial correlation
D)   singularity

Question 8

Sample standardized partial slopes are sometimes also referred to as which one of the following?

Accepted Answer

A)   beta weights
B)   bivariate correlations
C)   part correlations
D)   partial correlations

Question 9

In which of the following cases will the adjustment for R2 squared be large?

Accepted Answer

A)   When the assumptions of the test are met
B)   When the coefficient of multiple determination is zero
C)   When n is large relative to the total number of independent variables
D)   When n is small relative to the total number of independent variables

Question 10

In a standardized prediction model, the dependent variable equals which one of the following when the values of the independent variables are equal to their means?

Accepted Answer

A)   0
B)   > +1
C)   
D)   unable to determine without knowledge of the model

Exam 4: Multiple Linear Regression