Question 1

If a data set of 10 observations is used in a multiple regression analysis with 10 independent variables, then ____________.

Accepted Answer

A)  R2 will be equal to 1.0 
B)  The multiple standard error of the estimate will be 1.0 
C)  The independent variables will be correlated 
D)  The regression coefficients will all equal 1.0 
A)  R2 will be equal to 1.0 
B)  The multiple standard error of the estimate will be 1.0 
C)  The independent variables will be correlated 
D)  The regression coefficients will all equal 1.0

Question 2

If the hypothesis H0: β1 = 0, is rejected, then the sample regression coefficient b1 indicates the change in the predicted value for a unit change in X1 when all other Xi variables are held constant.

Accepted Answer

A) True 
 B)False

Question 3

A multiple regression analysis showed the following results of the individual independent variables.   X4 is a qualitative variable. If X4 is equal to one, what is the variable's effect on the dependent variable?

Accepted Answer

The dependent variable will decrease by

Question 4

In a multiple regression analysis, the statistic used to evaluate the presence of correlated independent variables is __________________.

Accepted Answer

the varian

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

Given a multiple linear regression equation, Ŷ = 5.1 + 2.2X1 - 3.5X2 (assuming other things are held constant), for a unit increase in the independent variable, X2,   will decrease by _______ units.

Accepted Answer

Question 7

A multiple regression analysis showed the following ANOVA table result.   Based on the information in the ANOVA, what is the decision regarding the global null hypothesis?

Accepted Answer

Fail to reject the null hypothesis; ther

Question 8

If the coefficient of multiple determination is 0.81, what percent of variation is not explained?

Accepted Answer

A)  19% 
B)  90% 
C)  66% 
D)  81% 
A)  19% 
B)  90% 
C)  66% 
D)  81%

Question 9

A researcher is studying the effect of 10 different variables on a critical measure of business performance. A multiple regression analysis including all 10 variables is performed. What criterion could be used to eliminate 1 of the 10 variables?

Accepted Answer

A)  Multiple R2 
B)  Largest p-value 
C)  Smallest p-value 
D)  Smallest regression coefficient 
A)  Multiple R2 
B)  Largest p-value 
C)  Smallest p-value 
D)  Smallest regression coefficient

Question 10

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 11

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 12

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 one of the following is the dependent variable?

Accepted Answer

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

Question 13

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

Accepted Answer

3.418%
Explanation: The multip

Question 14

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

Accepted Answer

A)  H1: β1 = β2 = β3 = β4 = 0 
B)  H1: β1 ≠ β2 ≠ β3 ≠ β4 ≠ 0 
C)  H1: Not all the β's are equal to 0. 
D)  If F is less than 20.00, then fail to reject. 
A)  H1: β1 = β2 = β3 = β4 = 0 
B)  H1: β1 ≠ β2 ≠ β3 ≠ β4 ≠ 0 
C)  H1: Not all the β's are equal to 0. 
D)  If F is less than 20.00, then fail to reject.

Question 15

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:   Write out the multiple regression equation

Accepted Answer

@#IMG-DLM& Explanation: The mu

If a data set of 10 observations is used in a multiple regression analysis with 10 independent variables, then ____________.

If the hypothesis H₀: β₁ = 0, is rejected, then the sample regression coefficient b₁ indicates the change in the predicted value for a unit change in X₁ when all other X_i variables are held constant.

A multiple regression analysis showed the following results of the individual independent variables. X₄ is a qualitative variable. If X₄ is equal to one, what is the variable's effect on the dependent variable?

In a multiple regression analysis, the statistic used to evaluate the presence of correlated independent variables is __________________.

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?

Given a multiple linear regression equation, Ŷ = 5.1 + 2.2X₁ - 3.5X₂ (assuming other things are held constant), for a unit increase in the independent variable, X₂, will decrease by _______ units.

A multiple regression analysis showed the following ANOVA table result. Based on the information in the ANOVA, what is the decision regarding the global null hypothesis?

If the coefficient of multiple determination is 0.81, what percent of variation is not explained?

A researcher is studying the effect of 10 different variables on a critical measure of business performance. A multiple regression analysis including all 10 variables is performed. What criterion could be used to eliminate 1 of the 10 variables?

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

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

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

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

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

If a data set of 10 observations is used in a multiple regression analysis with 10 independent variables, then ____________.

If the hypothesis H0: β1 = 0, is rejected, then the sample regression coefficient b1 indicates the change in the predicted value for a unit change in X1 when all other Xi variables are held constant.

A multiple regression analysis showed the following results of the individual independent variables. X4 is a qualitative variable. If X4 is equal to one, what is the variable's effect on the dependent variable?

In a multiple regression analysis, the statistic used to evaluate the presence of correlated independent variables is __________________.

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?

Given a multiple linear regression equation, Ŷ = 5.1 + 2.2X1 - 3.5X2 (assuming other things are held constant), for a unit increase in the independent variable, X2, will decrease by _______ units.

A multiple regression analysis showed the following ANOVA table result. Based on the information in the ANOVA, what is the decision regarding the global null hypothesis?

If the coefficient of multiple determination is 0.81, what percent of variation is not explained?

A researcher is studying the effect of 10 different variables on a critical measure of business performance. A multiple regression analysis including all 10 variables is performed. What criterion could be used to eliminate 1 of the 10 variables?

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

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

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

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

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

If the hypothesis H₀: β₁ = 0, is rejected, then the sample regression coefficient b₁ indicates the change in the predicted value for a unit change in X₁ when all other X_i variables are held constant.

A multiple regression analysis showed the following results of the individual independent variables. X₄ is a qualitative variable. If X₄ is equal to one, what is the variable's effect on the dependent variable?

Given a multiple linear regression equation, Ŷ = 5.1 + 2.2X₁ - 3.5X₂ (assuming other things are held constant), for a unit increase in the independent variable, X₂, will decrease by _______ units.

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