Question 1

The best example of a null hypothesis for a global test of a multiple regression model is ________.

Accepted Answer

A) H0: β1 = β2 = β3 = β4 = 0 
B) H0: µ1 = µ2 = µ3 = µ4 = 0 
C) H0: β1 = 0 
D) if F is greater than 20.00,then reject 
A) H0: β1 = β2 = β3 = β4 = 0 
B) H0: µ1 = µ2 = µ3 = µ4 = 0 
C) H0: β1 = 0 
D) if F is greater than 20.00,then reject

Question 2

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 
A) a dependent variable 
B) an interaction 
C) an error 
D) an intercept

Question 3

The coefficient of determination measures the proportion of ________.

Accepted Answer

A) explained variation relative to total variation 
B) variation due to the relationship among variables 
C) error variation relative to total variation 
D) variation due to regression 
A) explained variation relative to total variation 
B) variation due to the relationship among variables 
C) error variation relative to total variation 
D) variation due to regression

Question 4

A researcher is studying the effect of 10 different variables on a critical measure of business performance. In selecting the best set of independent variables to predict the dependent variable,the stepwise regression technique 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 5

An example of a dummy variable is "time to product's first repair" in years.

Accepted Answer

A) True 
 B)False

Question 6

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 7

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 
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 8

If a multiple regression analysis is based on 10 independent variables collected from a sample of 125 observations,what is 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 
A) 125 
B) 10 
C) 114 
D) 115

Question 9

Consider the multiple regression model shown next between the dependent variable Y and four independent variables X1,X2,X3,and X4,which result in the following function:   = 33 + 8X1 − 6X2 + 16X3 + 18X4 For this model,there were 35 observations; SSR = 1,400 and SSE = 600. Assume a 0.01 significance level.
Based on the given information,which of the following conclusions is correct?

Accepted Answer

A) Reject the null hypothesis that X3 = 0. 
B) Do not reject the null hypothesis that X1 = X2 = X3 = X4 = 0. 
C) Reject the null hypothesis that X1 = 0. 
D) Reject the null hypothesis that X1 = X2 = X3 = X4 = 0. 
A) Reject the null hypothesis that X3 = 0. 
B) Do not reject the null hypothesis that X1 = X2 = X3 = X4 = 0. 
C) Reject the null hypothesis that X1 = 0. 
D) Reject the null hypothesis that X1 = X2 = X3 = X4 = 0.

Question 10

The variance inflation factor can be used to reduce multicollinearity by ________.

Accepted Answer

A) eliminating variables for a multiple regression model 
B) decreasing homoscedasticity 
C) evaluating the distribution of residuals 
D) testing the null hypothesis that all regression coefficients equal zero 
A) eliminating variables for a multiple regression model 
B) decreasing homoscedasticity 
C) evaluating the distribution of residuals 
D) testing the null hypothesis that all regression coefficients equal zero

Question 11

In multiple regression analysis,when the independent variables are highly correlated,this situation is called ________.

Accepted Answer

A) autocorrelation 
B) multicollinearity 
C) homoscedasticity 
D) curvilinearity 
A) autocorrelation 
B) multicollinearity 
C) homoscedasticity 
D) curvilinearity

Question 12

A researcher is studying the relationship between 10 different variables and a critical measure of business performance. What method can be used to select the best set of variables to predict performance?

Accepted Answer

A) Stepwise regression 
B) ANOVA 
C) Simple linear regression 
D) Residual analysis 
A) Stepwise regression 
B) ANOVA 
C) Simple linear regression 
D) Residual analysis

Question 13

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 
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 14

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 may depend 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 may depend on the value of X2

Question 15

What does the multiple standard error of estimate measure?

Accepted Answer

A) The change in Ŷ for a change in X1 
B) The variability of the residuals 
C) The regression mean square error in the ANOVA table 
D) The amount of explained variation 
A) The change in Ŷ for a change in X1 
B) The variability of the residuals 
C) The regression mean square error in the ANOVA table 
D) The amount of explained variation

Question 16

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 
A) Y-intercepts 
B) regression coefficients 
C) dependent variables 
D) constant terms

Question 17

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

Accepted Answer

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

Question 18

When does multicollinearity occur in a multiple regression analysis?

Accepted Answer

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

Question 19

The coefficient of multiple determination,R2,reports the proportion of the variation in Y that is not explained by the variation in the set of independent variables.

Accepted Answer

A) True 
 B)False

Question 20

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

Accepted Answer

A) b1 
B) X1 
C)    
D) a 
A) b1 
B) X1 
C)    
D) a

The best example of a null hypothesis for a global test of a multiple regression model is ________.

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

The coefficient of determination measures the proportion of ________.

A researcher is studying the effect of 10 different variables on a critical measure of business performance. In selecting the best set of independent variables to predict the dependent variable,the stepwise regression technique is used. How are variables selected for inclusion in the model?

An example of a dummy variable is "time to product's first repair" in years.

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

If a multiple regression analysis is based on 10 independent variables collected from a sample of 125 observations,what is the value of the denominator in the calculation of the multiple standard error of estimate?

The variance inflation factor can be used to reduce multicollinearity by ________.

In multiple regression analysis,when the independent variables are highly correlated,this situation is called ________.

A researcher is studying the relationship between 10 different variables and a critical measure of business performance. What method can be used to select the best set of variables to predict performance?

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

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

What does the multiple standard error of estimate measure?

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

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

When does multicollinearity occur in a multiple regression analysis?

The coefficient of multiple determination,R²,reports the proportion of the variation in Y that is not explained by the variation in the set of independent variables.

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

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

Nonparametric Methods: Nominal Level Hypothesis Tests

Nonparametric Methods: Analysis of Ordinal Data

Index Numbers

Time Series and Forecasting

Statistical Process Control and Quality Management

An Introduction to Decision Theory

Filters

Exam 14: Multiple Regression Analysis

The best example of a null hypothesis for a global test of a multiple regression model is ________.

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

The coefficient of determination measures the proportion of ________.

A researcher is studying the effect of 10 different variables on a critical measure of business performance. In selecting the best set of independent variables to predict the dependent variable,the stepwise regression technique is used. How are variables selected for inclusion in the model?

An example of a dummy variable is "time to product's first repair" in years.

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

If a multiple regression analysis is based on 10 independent variables collected from a sample of 125 observations,what is the value of the denominator in the calculation of the multiple standard error of estimate?

The variance inflation factor can be used to reduce multicollinearity by ________.

In multiple regression analysis,when the independent variables are highly correlated,this situation is called ________.

A researcher is studying the relationship between 10 different variables and a critical measure of business performance. What method can be used to select the best set of variables to predict performance?

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

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

What does the multiple standard error of estimate measure?

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

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

When does multicollinearity occur in a multiple regression analysis?

The coefficient of multiple determination,R2,reports the proportion of the variation in Y that is not explained by the variation in the set of independent variables.

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

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

Nonparametric Methods: Nominal Level Hypothesis Tests

Nonparametric Methods: Analysis of Ordinal Data

Index Numbers

Time Series and Forecasting

Statistical Process Control and Quality Management

An Introduction to Decision Theory

Filters

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

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

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

The coefficient of multiple determination,R²,reports the proportion of the variation in Y that is not explained by the variation in the set of independent variables.