Question 1

Twenty-one executives in a large corporation were randomly selected for a study to determine the effect of several factors on annual salary (expressed in $000's). The factors selected were age, seniority, years of college, number of company divisions they had been exposed to and the level of their responsibility. A regression analysis was performed using a popular spreadsheet program with the following regression output:  Which one of the following is the dependent variable?

Accepted Answer

A)  Age 
B)  Seniority 
C)  Level of responsibility 
D)  Annual salary

Question 2

Twenty-one executives in a large corporation were randomly selected for a study to determine the effect of several factors on annual salary (expressed in $000's). The factors selected were age, seniority, years of college, number of company divisions they had been exposed to and the level of their responsibility. A regression analysis was performed using a popular spreadsheet program with the following regression output:

Accepted Answer

The answer of Twenty-one executives in a large corporation were...

Question 3

The variance inflation factor can be used to

Accepted Answer

A)  select or eliminate variables for a multiple regression model. 
B)  evaluate homoscedasticity. 
C)  evaluate the distribution of residuals. 
D)  test null hypothesis that all regression coefficients equal zero must be rejected.

Question 4

In multiple regression analysis, residual analysis is used to test the requirement that

Accepted Answer

A)  the variation in the residuals is the same for all predicted values of Y 
B)  the independent variables are the direct cause of the dependent variable 
C)  the number of independent variables included in the analysis is correct 
D)  prediction error is minimized

Question 5

In the general multiple regression equation, which of the following variables represents the Y-intercept?

Accepted Answer

A)  b1 
B)  X1 
C)  Ŷ 
D)  a

Question 6

What happens as the scatter of data values about the regression plane increases?

Accepted Answer

A)  Standard error of estimate increases 
B)  R2 increases 
C)  (1 - R2) decreases 
D)  Error sum of squares decreases

Question 7

In a multiple regression analysis, what statistic is used to test for correlated independent variables? ___________________

Accepted Answer

The answer of In a multiple regression analysis, what statistic...

Question 8

Which of the following is a characteristic of the F-distribution?

Accepted Answer

A)  Normally distributed 
B)  Positively skewed 
C)  Negatively skewed 
D)  Equal to the t-distribution

Question 9

When does multicollinearity occur in a multiple regression analysis?

Accepted Answer

A)  The dependent variables are highly correlated. 
B)  The regression coefficients are correlated. 
C)  The independent variables are highly correlated. 
D)  The independent variables have no correlation.

Question 10

If a multiple regression analysis is based on ten independent variables collected from a sample of 125 observations, what will be the value of the denominator in the calculation of the multiple standard error of estimate?

Accepted Answer

A)  125 
B)  10 
C)  114 
D)  115

Question 11

A multiple regression analysis showed the following ANOVA table result.  Based on the information in the ANOVA, what is the multiple coefficient of determination?

Accepted Answer

The answer of A multiple regression analysis showed the following...

Question 12

A multiple regression model includes (X1)(X2). The term is called

Accepted Answer

A)  A dependent variable. 
B)  An interaction. 
C)  An error. 
D)  An intercept.

Question 13

In multiple regression, what statistic accounts for the variance of additional independent variables? _____________

Accepted Answer

The answer of In multiple regression, what statistic accounts for...

Question 14

In multiple regression analysis, before testing the significance of the individual regression coefficients,

Accepted Answer

A)  the intercept must equal 0. 
B)  the multiple standard error of the estimate must be less than the error mean square. 
C)  the null hypothesis that all regression coefficients equal zero must NOT be rejected. 
D)  the null hypothesis that all regression coefficients equal zero must be rejected.

Question 15

A multiple regression analysis showed the following ANOVA table result.  Based on the information in the ANOVA, how many independent variables were included in the multiple regression analysis?

Accepted Answer

The answer of A multiple regression analysis showed the following...

Question 16

How are residual plots drawn and used to evaluate the assumptions of linear multiple regression?

Accepted Answer

The answer of How are residual plots drawn and used...

Question 17

A multiple regression analysis showed the following results of the individual independent variables.  In a stepwise regression analysis, which independent variable would be removed from the analysis first?

Accepted Answer

The answer of A multiple regression analysis showed the following...

Question 18

A manager at a local bank analyzed the relationship between monthly salary and three independent variables: length of service (measured in months), gender (0 = female, 1 = male) and job type (0 = clerical, 1 = technical). The following ANOVA summarizes the regression results:  The results for the variable gender show that

Accepted Answer

A)  Males average $222.78 more than females in monthly salary 
B)  Females average $222.78 more than males in monthly salary 
C)  Gender is not related to monthly salary 
D)  Gender and months of service are correlated

Question 19

A manager at a local bank analyzed the relationship between monthly salary and three independent variables: length of service (measured in months), gender (0 = female, 1 = male) and job type (0 = clerical, 1 = technical). The following ANOVA summarizes the regression results:  Based on the ANOVA and a 0.05 significance level, the global null hypothesis test of the multiple regression model

Accepted Answer

A)  Will be rejected and conclude that monthly salary is related to all of the independent variables. 
B)  Will be rejected and conclude that monthly salary is related to at least one of the independent variables. 
C)  Will not be rejected. 
D)  Will show a high multiple coefficient of determination.

Question 20

Which statistic is used to test hypotheses about individual regression coefficients?

Accepted Answer

A)  t-statistic 
B)  z-statistic 
C)   (chi-square statistic) 
D)  F

Exam 14: Multiple Regression Analysis

The variance inflation factor can be used to

In multiple regression analysis, residual analysis is used to test the requirement that

In the general multiple regression equation, which of the following variables represents the Y-intercept?

What happens as the scatter of data values about the regression plane increases?

In a multiple regression analysis, what statistic is used to test for correlated independent variables? ___________________

Which of the following is a characteristic of the F-distribution?

When does multicollinearity occur in a multiple regression analysis?

If a multiple regression analysis is based on ten independent variables collected from a sample of 125 observations, what will be the value of the denominator in the calculation of the multiple standard error of estimate?

A multiple regression analysis showed the following ANOVA table result. Based on the information in the ANOVA, what is the multiple coefficient of determination?

A multiple regression model includes (X₁) (X₂) . The term is called

In multiple regression, what statistic accounts for the variance of additional independent variables? _____________

In multiple regression analysis, before testing the significance of the individual regression coefficients,

A multiple regression analysis showed the following ANOVA table result. Based on the information in the ANOVA, how many independent variables were included in the multiple regression analysis?

How are residual plots drawn and used to evaluate the assumptions of linear multiple regression?

A multiple regression analysis showed the following results of the individual independent variables. In a stepwise regression analysis, which independent variable would be removed from the analysis first?

Which statistic is used to test hypotheses about individual regression coefficients?

Exam 14: Multiple Regression Analysis

The variance inflation factor can be used to

In multiple regression analysis, residual analysis is used to test the requirement that

In the general multiple regression equation, which of the following variables represents the Y-intercept?

What happens as the scatter of data values about the regression plane increases?

In a multiple regression analysis, what statistic is used to test for correlated independent variables? ___________________

Which of the following is a characteristic of the F-distribution?

When does multicollinearity occur in a multiple regression analysis?

If a multiple regression analysis is based on ten independent variables collected from a sample of 125 observations, what will be the value of the denominator in the calculation of the multiple standard error of estimate?

A multiple regression analysis showed the following ANOVA table result. Based on the information in the ANOVA, what is the multiple coefficient of determination?

A multiple regression model includes (X1) (X2) . The term is called

In multiple regression, what statistic accounts for the variance of additional independent variables? _____________

In multiple regression analysis, before testing the significance of the individual regression coefficients,

A multiple regression analysis showed the following ANOVA table result. Based on the information in the ANOVA, how many independent variables were included in the multiple regression analysis?

How are residual plots drawn and used to evaluate the assumptions of linear multiple regression?

A multiple regression analysis showed the following results of the individual independent variables. In a stepwise regression analysis, which independent variable would be removed from the analysis first?

Which statistic is used to test hypotheses about individual regression coefficients?

A multiple regression model includes (X₁) (X₂) . The term is called