Question 1

It has been hypothesized that overall academic success for college freshmen as measured by grade point average (GPA) is a function of IQ scores, X₁, hours spent studying each week, X₂, and one's high school average, X₃. Suppose the regression equation is . The multiple standard error is 6.313 and R² = 0.826. What is the predicted GPA for a student with an IQ of 108, 32 hours spent studying per week, and a high school average of 82?

Accepted Answer

The answer of It has been hypothesized that overall academic...

Question 2

In a multiple regression analysis with five independent variables, the null hypothesis, H₀: β₄ = 0, is not rejected. When predicting the dependent variable, the independent variable, X₄, has ______ relationship to the dependent variable.

Accepted Answer

The answer of In a multiple regression analysis with five...

Question 3

In a multiple regression analysis, if the regression coefficient of a dummy variable is significant and has a sample value of 100, then the dummy variable's effect on the dependent variable is an increase of 100.

Accepted Answer

A) True 
 B)False

Question 4

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 5

In the ANOVA table for a multiple regression analysis, the regression degrees of freedom is equal to ___________________.

Accepted Answer

The answer of In the ANOVA table for a multiple...

Question 6

A multiple regression analysis showed the following results of the individual independent variables.  Which independent variables are significantly related to the dependent variable?

Accepted Answer

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

Question 7

Twenty-one executives in a large corporation were randomly selected to study the effect of several factors on annual salary (expressed in $000s). The factors selected were age, seniority, years of college, number of company divisions they had been exposed to, and the level of their responsibility. The results of the regression analysis follow:  Which independent variable has the most significant effect on annual salary?

Accepted Answer

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

Question 8

What-statistic is used to assess multicollinearity in multiple regression analysis?

Accepted Answer

The answer of What-statistic is used to assess multicollinearity in...

Question 9

What can we conclude if the global test of regression rejects the null hypothesis?

Accepted Answer

A)  Strong correlations exist among the variables. 
B)  No relationship exists between the dependent variable and any of the independent variables. 
C)  At least one of the net regression coefficients is not equal to zero. 
D)  Good predictions are not possible.

Question 10

Which statistic is used to test a global hypothesis about a multiple regression equation?

Accepted Answer

A)  t-statistic 
B)  z-statistic 
C)  Χ2(chi-square statistic) 
D)  F

Question 11

In an ANOVA table for a multiple regression analysis, the global test of significance is based on the _________.

Accepted Answer

A)  Treatment mean square divided by the error variation 
B)  Block and error variation 
C)  Treatment mean square and block mean square 
D)  Regression mean square divided by the mean square error

Question 12

If there are four independent variables in a multiple regression equation, there are also four ______.

Accepted Answer

A)  Y-intercepts 
B)  Regression coefficients 
C)  Dependent variables 
D)  Constant terms

Question 13

The best example of a null hypothesis for testing an individual regression coefficient is __________.

Accepted Answer

A)  H0: β1 = β2 = β3 = β4 = 0 
B)  H0: µ1 = µ2 = µ3 = µ4 = 0 
C)  H0: β1 = 0 
D)  H0: β1 ≠ 0

Question 14

When applying the stepwise regression technique, _________ independent is included in the first multiple regression model.

Accepted Answer

The answer of When applying the stepwise regression technique, _________...

Question 15

How are scatter diagrams used to evaluate the assumptions of linear multiple regression?

Accepted Answer

The answer of How are scatter diagrams used to evaluate...

Question 16

The adjusted R2 accounts for the number of independent variables by ____________.

Accepted Answer

A)  Adding one to the R2 
B)  Using the degrees of freedom 
C)  Multiplying by the multiple standard error of the estimate 
D)  Using a subscript for R2

Question 17

All other things being held constant, what is the change in the dependent variable for a unit change in X1 for the multiple regression equation: Ŷ = 5.2 + 6.3X1 - 7.1 X2?

Accepted Answer

A)  -7.1 
B)  +6.3 
C)  +5.2 
D)  +4.4

Question 18

In a multiple regression analysis, the following correlation matrix was computed.  What does the correlation matrix suggest about the independent variables?

Accepted Answer

The answer of In a multiple regression analysis, the following...

Question 19

Consider a regression model involving more than one independent variable. The test used to determine if the relationship between the dependent variable and the set of independent variables is significant is the _______.

Accepted Answer

A)  z-test 
B)  test 
C)  chi-square test 
D)  F-test

Question 20

A multiple regression model includes the term (X1)(X2). The term implies that:

Accepted Answer

A)  the independent variables are correlated. 
B)  there is only one independent variable in the regression model. 
C)  the effect of X1 on the dependent variable is independent of the value of X2. 
D)  the effect of X1 on the dependent variable depends on the value of X2.

Exam 14: Multiple Regression Analysis

In a multiple regression analysis with five independent variables, the null hypothesis, H₀: β₄ = 0, is not rejected. When predicting the dependent variable, the independent variable, X₄, has ______ relationship to the dependent variable.

In a multiple regression analysis, if the regression coefficient of a dummy variable is significant and has a sample value of 100, then the dummy variable's effect on the dependent variable is an increase of 100.

In the ANOVA table for a multiple regression analysis, the regression degrees of freedom is equal to ___________________.

A multiple regression analysis showed the following results of the individual independent variables. Which independent variables are significantly related to the dependent variable?

What-statistic is used to assess multicollinearity in multiple regression analysis?

What can we conclude if the global test of regression rejects the null hypothesis?

Which statistic is used to test a global hypothesis about a multiple regression equation?

In an ANOVA table for a multiple regression analysis, the global test of significance is based on the _________.

If there are four independent variables in a multiple regression equation, there are also four ______.

The best example of a null hypothesis for testing an individual regression coefficient is __________.

When applying the stepwise regression technique, _________ independent is included in the first multiple regression model.

How are scatter diagrams used to evaluate the assumptions of linear multiple regression?

The adjusted R² accounts for the number of independent variables by ____________.

All other things being held constant, what is the change in the dependent variable for a unit change in X₁ for the multiple regression equation: Ŷ = 5.2 + 6.3X₁ - 7.1 X₂?

In a multiple regression analysis, the following correlation matrix was computed. What does the correlation matrix suggest about the independent variables?

Consider a regression model involving more than one independent variable. The test used to determine if the relationship between the dependent variable and the set of independent variables is significant is the _______.

A multiple regression model includes the term (X₁) (X₂) . The term implies that:

Exam 14: Multiple Regression Analysis

In a multiple regression analysis with five independent variables, the null hypothesis, H0: β4 = 0, is not rejected. When predicting the dependent variable, the independent variable, X4, has ______ relationship to the dependent variable.

In a multiple regression analysis, if the regression coefficient of a dummy variable is significant and has a sample value of 100, then the dummy variable's effect on the dependent variable is an increase of 100.

In the ANOVA table for a multiple regression analysis, the regression degrees of freedom is equal to ___________________.

A multiple regression analysis showed the following results of the individual independent variables. Which independent variables are significantly related to the dependent variable?

What-statistic is used to assess multicollinearity in multiple regression analysis?

What can we conclude if the global test of regression rejects the null hypothesis?

Which statistic is used to test a global hypothesis about a multiple regression equation?

In an ANOVA table for a multiple regression analysis, the global test of significance is based on the _________.

If there are four independent variables in a multiple regression equation, there are also four ______.

The best example of a null hypothesis for testing an individual regression coefficient is __________.

When applying the stepwise regression technique, _________ independent is included in the first multiple regression model.

How are scatter diagrams used to evaluate the assumptions of linear multiple regression?

The adjusted R2 accounts for the number of independent variables by ____________.

All other things being held constant, what is the change in the dependent variable for a unit change in X1 for the multiple regression equation: Ŷ = 5.2 + 6.3X1 - 7.1 X2?

In a multiple regression analysis, the following correlation matrix was computed. What does the correlation matrix suggest about the independent variables?

Consider a regression model involving more than one independent variable. The test used to determine if the relationship between the dependent variable and the set of independent variables is significant is the _______.

A multiple regression model includes the term (X1) (X2) . The term implies that:

In a multiple regression analysis with five independent variables, the null hypothesis, H₀: β₄ = 0, is not rejected. When predicting the dependent variable, the independent variable, X₄, has ______ relationship to the dependent variable.

The adjusted R² accounts for the number of independent variables by ____________.

All other things being held constant, what is the change in the dependent variable for a unit change in X₁ for the multiple regression equation: Ŷ = 5.2 + 6.3X₁ - 7.1 X₂?

A multiple regression model includes the term (X₁) (X₂) . The term implies that: