Question 1

A correlation matrix shows individual correlation coefficients for all pairs of variables.

Accepted Answer

A) True 
 B)False

Question 2

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

Accepted Answer

Multicollinearity; X

Question 3

In an ANOVA table for a multiple regression analysis, total variation is separated into

Accepted Answer

A)  treatment and error variation 
B)  regression and residual variation 
C)  treatment and block variation 
D)  block and error variation 
A)  treatment and error variation 
B)  regression and residual variation 
C)  treatment and block variation 
D)  block and error variation

Question 4

In multiple regression analysis, residuals (Y - Ŷ) are used to:

Accepted Answer

A)  Provide a global test of a multiple regression model. 
B)  Evaluate the assumption of linearity. 
C)  Calculate the variance inflation factor. 
D)  Compare two regression coefficients. 
A)  Provide a global test of a multiple regression model. 
B)  Evaluate the assumption of linearity. 
C)  Calculate the variance inflation factor. 
D)  Compare two regression coefficients.

Question 5

The following correlations were computed as part of a multiple regression analysis that used education, job, and age to predict income.   Which is the dependent variable?

Accepted Answer

A)  Income 
B)  Age 
C)  Education 
D)  Job 
A)  Income 
B)  Age 
C)  Education 
D)  Job

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:   Based on the hypothesis tests for the individual regression coefficients,

Accepted Answer

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. 
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.

Question 7

A researcher is studying the effect of ten different variables on a critical measure of business performance. In selecting the best set of independent variables to predict the dependent variable, a forward selection method is used. How are variables selected for inclusion in the model?

Accepted Answer

A)  Highest increase in the multiple R2. 
B)  Largest p-value. 
C)  Smallest p-value. 
D)  Smallest regression coefficient. 
A)  Highest increase in the multiple R2. 
B)  Largest p-value. 
C)  Smallest p-value. 
D)  Smallest regression coefficient.

Question 8

When evaluating the assumptions of a multiple regression model, what additional variable is calculated for every observation in a data set? ________________

Accepted Answer

A residual or t he d

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. 
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

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

Accepted Answer

A signific

Question 11

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 R2 = 0.826.
Which independent variable has the smallest affect on GPA?

Accepted Answer

High schoo

Question 12

Interaction occurs when the relationship between an independent variable and a dependent variable is affected by another independent variable.

Accepted Answer

A) True 
 B)False

Question 13

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 14

What can we conclude if the global test of regression does not reject the null hypothesis?

Accepted Answer

A)  A strong relationship exists among the variables 
B)  No relationship exists between the dependent variable and any of the independent variables 
C)  The independent variables are good predictors 
D)  Good forecasts are possible 
A)  A strong relationship exists among the variables 
B)  No relationship exists between the dependent variable and any of the independent variables 
C)  The independent variables are good predictors 
D)  Good forecasts are possible

Question 15

Stepwise regression analysis is a method that assists in selecting the most significant variables for a multiple regression equation.

Accepted Answer

A) True 
 B)False

Question 16

A multiple regression model includes the term, (X1)(X2). If hypothesis that the term's regression coefficient is NOT rejected, what is a valid conclusion?

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. 
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.

Question 17

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 18

In multiple regression analysis, what scale is used to measure a dummy variable? _________________________

Accepted Answer

The answer of In multiple regression analysis, what scale is...

Question 19

The best example of an alternate hypothesis for a global test of a multiple regression model is:

Accepted Answer

A)  H1: $\beta$1 = $\beta$2 = $\beta$3 = $\beta$4 = 0 
B)  H1: $\beta$1 $\neq$$\beta$2 $\neq$$\beta$3 $\neq$$\beta$4 $\neq$ 
C)  H1: Not all the $\beta$'s are equal to 0 
D)  If F is less than 20.00 then fail to reject. 
A)  H1: $\beta$1 = $\beta$2 = $\beta$3 = $\beta$4 = 0 
B)  H1: $\beta$1 $\neq$$\beta$2 $\neq$$\beta$3 $\neq$$\beta$4 $\neq$ 
C)  H1: Not all the $\beta$'s are equal to 0 
D)  If F is less than 20.00 then fail to reject.

Question 20

The production of automobile tires in any given year is related to the number of automobiles produced this year and in prior years. Suppose our econometric model resulted in the following data.   Which variable in the model is the most significant predictor of tire production?

Accepted Answer

The answer of The production of automobile tires in any...

A correlation matrix shows individual correlation coefficients for all pairs of variables.

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

In an ANOVA table for a multiple regression analysis, total variation is separated into

In multiple regression analysis, residuals (Y - Ŷ) are used to:

The following correlations were computed as part of a multiple regression analysis that used education, job, and age to predict income. Which is the dependent variable?

A researcher is studying the effect of ten different variables on a critical measure of business performance. In selecting the best set of independent variables to predict the dependent variable, a forward selection method is used. How are variables selected for inclusion in the model?

When evaluating the assumptions of a multiple regression model, what additional variable is calculated for every observation in a data set? ________________

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

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

Interaction occurs when the relationship between an independent variable and a dependent variable is affected by another independent variable.

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?

What can we conclude if the global test of regression does not reject the null hypothesis?

Stepwise regression analysis is a method that assists in selecting the most significant variables for a multiple regression equation.

A multiple regression model includes the term, (X₁)(X₂). If hypothesis that the term's regression coefficient is NOT rejected, what is a valid conclusion?

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 ______________________________.

In multiple regression analysis, what scale is used to measure a dummy variable? _________________________

The best example of an alternate hypothesis for a global test of a multiple regression model is:

The production of automobile tires in any given year is related to the number of automobiles produced this year and in prior years. Suppose our econometric model resulted in the following data. Which variable in the model is the most significant predictor of tire production?

What Is Statistics

Describing Data: Frequency Tables, Frequency Distributions, and Graphic Presentation

Describing Data: Numerical Measures

Describing Data: Displaying and Exploring Data

A Survey of Probability Concepts

Discrete Probability Distributions

Continuous Probability Distributions

Sampling Methods and the Central Limit Theorem

Estimation and Confidence Intervals

One-Sample Tests of Hypothesis

Two-Sample Tests of Hypothesis

Analysis of Variance

Correlation and Linear Regression

Index Numbers

Time Series and Forecasting

Nonparametric Methods: Goodness-Of-Fit Tests

Nonparametric Methods: Analysis of Ranked Data

Statistical Process Control and Quality Management

An Introduction to Decision Theory

Filters

Exam 14: Multiple Regression Analysis

A correlation matrix shows individual correlation coefficients for all pairs of variables.

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

In an ANOVA table for a multiple regression analysis, total variation is separated into

In multiple regression analysis, residuals (Y - Ŷ) are used to:

The following correlations were computed as part of a multiple regression analysis that used education, job, and age to predict income. Which is the dependent variable?

A researcher is studying the effect of ten different variables on a critical measure of business performance. In selecting the best set of independent variables to predict the dependent variable, a forward selection method is used. How are variables selected for inclusion in the model?

When evaluating the assumptions of a multiple regression model, what additional variable is calculated for every observation in a data set? ________________

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

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

Interaction occurs when the relationship between an independent variable and a dependent variable is affected by another independent variable.

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?

What can we conclude if the global test of regression does not reject the null hypothesis?

Stepwise regression analysis is a method that assists in selecting the most significant variables for a multiple regression equation.

A multiple regression model includes the term, (X1)(X2). If hypothesis that the term's regression coefficient is NOT rejected, what is a valid conclusion?

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 ______________________________.

In multiple regression analysis, what scale is used to measure a dummy variable? _________________________

The best example of an alternate hypothesis for a global test of a multiple regression model is:

The production of automobile tires in any given year is related to the number of automobiles produced this year and in prior years. Suppose our econometric model resulted in the following data. Which variable in the model is the most significant predictor of tire production?

What Is Statistics

Describing Data: Frequency Tables, Frequency Distributions, and Graphic Presentation

Describing Data: Numerical Measures

Describing Data: Displaying and Exploring Data

A Survey of Probability Concepts

Discrete Probability Distributions

Continuous Probability Distributions

Sampling Methods and the Central Limit Theorem

Estimation and Confidence Intervals

One-Sample Tests of Hypothesis

Two-Sample Tests of Hypothesis

Analysis of Variance

Correlation and Linear Regression

Index Numbers

Time Series and Forecasting

Nonparametric Methods: Goodness-Of-Fit Tests

Nonparametric Methods: Analysis of Ranked Data

Statistical Process Control and Quality Management

An Introduction to Decision Theory

Filters

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

A multiple regression model includes the term, (X₁)(X₂). If hypothesis that the term's regression coefficient is NOT rejected, what is a valid conclusion?