Question 1

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 degrees of freedom used to test all hypotheses about the individual regression coefficients is
A)the regression degrees of freedom.
B)the residual degrees of freedom.
C)the total degrees of freedom.
D)the sum of the regression and the residual degrees of freedom.

Accepted Answer

The answer of A manager at a local bank analyzed...

Question 2

It has been hypothesized that overall academic success for college freshmen as measured by grade point average (GPA)is a function of IQ scores  ,hours spent studying each week  ,and one's high school average  .Suppose the regression equation is:  .The multiple standard error is 6.313 and  = 0.826.
How many dependent variables are in the regression equation? ___

Accepted Answer

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

Question 3

It has been hypothesized that overall academic success for college freshmen as measured by grade point average (GPA)is a function of IQ scores  ,hours spent studying each week  ,and one's high school average  .Suppose the regression equation is:  .The multiple standard error is 6.313 and  = 0.826.
For which independent variable does a unit change have the least effect on GPA? ___________________

Accepted Answer

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

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:  Based on the ANOVA,the multiple coefficient of determination is
A)5.957%
B)59.3%
C)40.7%
D)cannot be computed

Accepted Answer

The answer of A manager at a local bank analyzed...

Question 5

Multiple  measures the proportion of ____________________.

Accepted Answer

The answer of Multiple  measures the proportion of ____________________....

Question 6

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
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

Accepted Answer

According to the ANOVA results, the coefficient for gender is 222.78 with a p-value less than 0.05, indicating a significant relationship between gender and monthly salary. The positive coefficient suggests that males, on average, earn $222.78 more per month than females in this bank.

Question 7

If the null hypothesis,H_o: $\beta$₄ = 0 ,is not rejected,what effect does the independent variable,X₄,have when predicting the dependent variable? ______

Accepted Answer

The answer of If the null hypothesis,H_o: $\beta$₄ = 0...

Question 8

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 hypothesis tests for the individual regression coefficients,
A)All the regression coefficients are not equal to zero.
B)"Job" is the only significant variable in the model.
C)Only months of service and gender are significantly related to monthly salary.
D)"Service" is the only significant variable in the model.

Accepted Answer

The answer of A manager at a local bank analyzed...

Question 9

If a dependent variable and one or more independent variables are inversely related,what is the sign for the regression coefficients of the independent variables? ______________

Accepted Answer

The answer of If a dependent variable and one or...

Question 10

In a multiple regression analysis ANOVA table,what determines the number of degrees of freedom associated with the regression sum of squares? ____________________.

Accepted Answer

The answer of In a multiple regression analysis ANOVA table,what...

Question 11

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 hypothesis tests for the individual regression coefficients,
A)All the regression coefficients are not equal to zero.
B)"Job" is the only non-significant variable in the model.
C)The intercept is the only significant variable in the model.
D)"Service" is the only significant variable in the model.

Accepted Answer

The answer of A manager at a local bank analyzed...

Question 12

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?
A)Age
B)Seniority
C)Level of responsibility
D)Annual salary
E)Experience in number of company divisions

Accepted Answer

The dependent variable is the variable that is being predicted or explained by the independent variables. In this case, the regression analysis is trying to determine the effect of age, seniority, years of college, number of company divisions, and level of responsibility on annual salary. Therefore, the dependent variable is annual salary.

Question 13

In multiple regression analysis,a correlation matrix is used to check for _____________.

Accepted Answer

The answer of In multiple regression analysis,a correlation matrix is...

Question 14

When the variance of the differences between the actual and the predicted values of the dependent variable are approximately the same,the variables are said to exhibit _______________________________.

Accepted Answer

The answer of When the variance of the differences between...

Question 15

It has been hypothesized that overall academic success for college freshmen as measured by grade point average (GPA)is a function of IQ scores  ,hours spent studying each week  ,and one's high school average  .Suppose the regression equation is:  .The multiple standard error is 6.313 and  = 0.826.
For which independent variable does a unit change have the greatest effect on the GPA? ________________

Accepted Answer

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

Question 16

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:  In the regression model,which of the following are dummy variables?
A)Intercept
B)Service
C)Service and gender
D)Gender and job
E)Service,gender,and job

Accepted Answer

Dummy variables are variables that are binary (0 or 1) and used to represent categorical data. In this case, gender and job type are the only variables listed that would be categorical and therefore require dummy variables to be introduced to the regression model. The intercept is not a dummy variable as it represents the expected value of the dependent variable when all independent variables are equal to 0. Similarly, the length of service variable is continuous and not categorical, so it does not require a dummy variable.

Question 17

Violating the need for successive observations of the dependent variable to be uncorrelated is called ____________________________.

Accepted Answer

The answer of Violating the need for successive observations of...

Question 18

In multiple regression analysis,a variable whose possible outcomes are coded as a "1" or a "0" is called a(n)__________________________.

Accepted Answer

The answer of In multiple regression analysis,a variable whose possible...

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
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.

Accepted Answer

A global null hypothesis test in multiple regression tests whether all of the independent variables have a significant relationship with the dependent variable. A rejection of the null hypothesis indicates that at least one independent variable is significantly related to the dependent variable. Therefore, the best choice is B.

Question 20

If the null hypothesis,H_o: $\beta$₁ = 0 ,is rejected,what effect does the independent variable,X₁,have when predicting the dependent variable? ______

Accepted Answer

The answer of If the null hypothesis,H_o: $\beta$₁ = 0...

Quiz 14: Multiple Regression and Correlation Analysis

Multiple measures the proportion of ____________________.

If the null hypothesis,H_o: $\beta$ ₄ = 0 ,is not rejected,what effect does the independent variable,X₄,have when predicting the dependent variable? ______

If a dependent variable and one or more independent variables are inversely related,what is the sign for the regression coefficients of the independent variables? ______________

In a multiple regression analysis ANOVA table,what determines the number of degrees of freedom associated with the regression sum of squares? ____________________.

In multiple regression analysis,a correlation matrix is used to check for _____________.

When the variance of the differences between the actual and the predicted values of the dependent variable are approximately the same,the variables are said to exhibit _______________________________.

Violating the need for successive observations of the dependent variable to be uncorrelated is called ____________________________.

In multiple regression analysis,a variable whose possible outcomes are coded as a "1" or a "0" is called a(n)__________________________.

If the null hypothesis,H_o: $\beta$ ₁ = 0 ,is rejected,what effect does the independent variable,X₁,have when predicting the dependent variable? ______

Quiz 14: Multiple Regression and Correlation Analysis

Multiple measures the proportion of ____________________.

If the null hypothesis,Ho: β\betaβ 4 = 0 ,is not rejected,what effect does the independent variable,X4,have when predicting the dependent variable? ______

If a dependent variable and one or more independent variables are inversely related,what is the sign for the regression coefficients of the independent variables? ______________

In a multiple regression analysis ANOVA table,what determines the number of degrees of freedom associated with the regression sum of squares? ____________________.

In multiple regression analysis,a correlation matrix is used to check for _____________.

When the variance of the differences between the actual and the predicted values of the dependent variable are approximately the same,the variables are said to exhibit _______________________________.

Violating the need for successive observations of the dependent variable to be uncorrelated is called ____________________________.

In multiple regression analysis,a variable whose possible outcomes are coded as a "1" or a "0" is called a(n)__________________________.

If the null hypothesis,Ho: β\betaβ 1 = 0 ,is rejected,what effect does the independent variable,X1,have when predicting the dependent variable? ______

If the null hypothesis,H_o: $\beta$ ₄ = 0 ,is not rejected,what effect does the independent variable,X₄,have when predicting the dependent variable? ______

If the null hypothesis,H_o: $\beta$ ₁ = 0 ,is rejected,what effect does the independent variable,X₁,have when predicting the dependent variable? ______