Question 1

A multiple regression is called "multiple" because it has several explanatory variables.

Accepted Answer

A) True 
 B)False

Question 2

A practical way to identify multicollinearity is through the examination of a correlation ____________________ that shows the correlations of each variable with each of the other variables.

Accepted Answer

The answer of A practical way to identify multicollinearity is...

Question 3

If the residuals in a regression analysis of time ordered data are not correlated,the value of the Durbin-Watson d statistic should be near ____________________.

Accepted Answer

The answer of If the residuals in a regression analysis...

Question 4

Real Estate Builder
 A real estate builder wishes to determine how house size is influenced by family income,family size,and education of the head of household.House size is measured in hundreds of square feet,income is measured in thousands of dollars,and education is measured in years.A partial computer output is shown below. SUMMARY OUTPUT Regression Statistics Multiple R 0.865 R Square 0.748 Adjusted R Square 0.726 Standard Error 5.195 Observations 50 ANOVA     ​ ​
-{Real Estate Builder Narrative} What are the regression degrees of freedom that are missing from the output?

Accepted Answer

df = 3605.

Question 5

A multiple regression model has the form:   .As x2 increases by one unit,holding x1 constant,then the value of y will increase by:

Accepted Answer

A) 7.25 units 
B) 6 units on average 
C) 2 units 
D) None of these choices 
A) 7.25 units 
B) 6 units on average 
C) 2 units 
D) None of these choices

Question 6

Life Expectancy
 An actuary wanted to develop a model to predict how long individuals will live.After consulting a number of physicians,she collected the age at death (y),the average number of hours of exercise per week (xS1U1B11S1U1B0),the cholesterol level (xS1U1B12S1U1B0),and the number of points that the individual's blood pressure exceeded the recommended value (xS1U1B13S1U1B0).A random sample of 40 individuals was selected.The computer output of the multiple regression model is shown below. THE REGRESSION EQUATION IS y = 55.8 + 1.79xS1U1B11S1U1B0− 0.021xS1U1B12S1U1B0− 0.061xS1U1B13S1U1B0   ​ S = 9.47 ​ R−Sq = 22.5% ANALYSIS OF VARIANCE   ​ ​
-{Life Expectancy Narrative} What is the adjusted coefficient of determination in this situation? What does this statistic tell you?

Accepted Answer

R² adjusted is 0.160.This means

Question 7

In a multiple regression model,the value of the coefficient of determination has to fall between

Accepted Answer

A) −1 and +1. 
B) 0 and +1. 
C) −1 and 0. 
D) None of these choices. 
A) −1 and +1. 
B) 0 and +1. 
C) −1 and 0. 
D) None of these choices.

Question 8

Real Estate Builder
 A real estate builder wishes to determine how house size is influenced by family income,family size,and education of the head of household.House size is measured in hundreds of square feet,income is measured in thousands of dollars,and education is measured in years.A partial computer output is shown below. SUMMARY OUTPUT Regression Statistics Multiple R 0.865 R Square 0.748 Adjusted R Square 0.726 Standard Error 5.195 Observations 50 ANOVA     ​ ​
-{Real Estate Builder Narrative} At the 0.01 level of significance,what conclusion should the builder draw regarding the inclusion of education in the regression model?

Accepted Answer

Education is not significant i

Question 9

For a multiple regression model,the following statistics are given: Total variation in y = 500,SSE = 80,and n = 25.Then,the coefficient of determination is:

Accepted Answer

A) 0.84 
B) 0.16 
C) 0.3125 
D) 0.05 
A) 0.84 
B) 0.16 
C) 0.3125 
D) 0.05

Question 10

Real Estate Builder
 A real estate builder wishes to determine how house size is influenced by family income,family size,and education of the head of household.House size is measured in hundreds of square feet,income is measured in thousands of dollars,and education is measured in years.A partial computer output is shown below. SUMMARY OUTPUT Regression Statistics Multiple R 0.865 R Square 0.748 Adjusted R Square 0.726 Standard Error 5.195 Observations 50 ANOVA     ​ ​
-{Real Estate Builder Narrative} What are the residual degrees of freedom that are missing from the output?

Accepted Answer

df = 1214.

Question 11

Multicollinearity is present when there is a high degree of correlation between the dependent variable and any of the independent variables.

Accepted Answer

A) True 
 B)False

Question 12

A(n)____________________ value of the F-test statistic indicates that the multiple regression model is valid.

Accepted Answer

The answer of A(n)____________________ value of the F-test statistic indicates...

Question 13

We test an individual coefficient in a multiple regression model using a(n)_________ test.

Accepted Answer

The answer of We test an individual coefficient in a...

Question 14

In a multiple regression model,the mean of the probability distribution of the error variable ε is assumed to be:

Accepted Answer

A) k,where k is the number of independent variables included in the model. 
B) 1.0 
C) 0.0 
D) None of these choices. 
A) k,where k is the number of independent variables included in the model. 
B) 1.0 
C) 0.0 
D) None of these choices.

Question 15

The problem of multicollinearity arises when the:

Accepted Answer

A) dependent variables are highly correlated with one another. 
B) independent variables are highly correlated with one another. 
C) independent variables are highly correlated with the dependent variable. 
D) None of these choices. 
A) dependent variables are highly correlated with one another. 
B) independent variables are highly correlated with one another. 
C) independent variables are highly correlated with the dependent variable. 
D) None of these choices.

Question 16

If a group of independent variables are not significant individually but are significant as a group at a specified level of significance,this is most likely due to:

Accepted Answer

A) heteroscedasticity. 
B) an error in the analysis. 
C) multicollinearity. 
D) None of these choices. 
A) heteroscedasticity. 
B) an error in the analysis. 
C) multicollinearity. 
D) None of these choices.

Question 17

Real Estate Builder
 A real estate builder wishes to determine how house size is influenced by family income,family size,and education of the head of household.House size is measured in hundreds of square feet,income is measured in thousands of dollars,and education is measured in years.A partial computer output is shown below. SUMMARY OUTPUT Regression Statistics Multiple R 0.865 R Square 0.748 Adjusted R Square 0.726 Standard Error 5.195 Observations 50 ANOVA     ​ ​
-{Real Estate Builder Narrative} Which of the following values for the level of significance is the smallest for which at least two explanatory variables are significant individually: α = .01,.05,.10,and .15?

Accepted Answer

The answer of  Real Estate Builder
 A real estate...

Question 18

Most statistical software print a second R2 statistic,called the coefficient of determination adjusted for degrees of freedom,which has been adjusted to take into account the sample size and the number of independent variables.

Accepted Answer

A) True 
 B)False

Question 19

Real Estate Builder
 A real estate builder wishes to determine how house size is influenced by family income,family size,and education of the head of household.House size is measured in hundreds of square feet,income is measured in thousands of dollars,and education is measured in years.A partial computer output is shown below. SUMMARY OUTPUT Regression Statistics Multiple R 0.865 R Square 0.748 Adjusted R Square 0.726 Standard Error 5.195 Observations 50 ANOVA     ​ ​
-{Real Estate Builder Narrative} One individual in the sample had an annual income of $100,000,a family size of 10,and an education of 16 years.This individual owned a home with an area of 7,000 square feet.What is the residual (in hundreds of square feet)for this data point?

Accepted Answer

The answer of  Real Estate Builder
 A real estate...

Question 20

Real Estate Builder
 A real estate builder wishes to determine how house size is influenced by family income,family size,and education of the head of household.House size is measured in hundreds of square feet,income is measured in thousands of dollars,and education is measured in years.A partial computer output is shown below. SUMMARY OUTPUT Regression Statistics Multiple R 0.865 R Square 0.748 Adjusted R Square 0.726 Standard Error 5.195 Observations 50 ANOVA     ​ ​
-{Real Estate Builder Narrative} What minimum annual income would an individual with a family size of 9 and 10 years of education need to attain a predicted 5,000 square foot home?

Accepted Answer

The answer of  Real Estate Builder
 A real estate...

A multiple regression is called "multiple" because it has several explanatory variables.

A practical way to identify multicollinearity is through the examination of a correlation ____________________ that shows the correlations of each variable with each of the other variables.

If the residuals in a regression analysis of time ordered data are not correlated,the value of the Durbin-Watson d statistic should be near ____________________.

A multiple regression model has the form: .As x₂ increases by one unit,holding x₁ constant,then the value of y will increase by:

In a multiple regression model,the value of the coefficient of determination has to fall between

For a multiple regression model,the following statistics are given: Total variation in y = 500,SSE = 80,and n = 25.Then,the coefficient of determination is:

Multicollinearity is present when there is a high degree of correlation between the dependent variable and any of the independent variables.

A(n)____________________ value of the F-test statistic indicates that the multiple regression model is valid.

We test an individual coefficient in a multiple regression model using a(n)_________ test.

In a multiple regression model,the mean of the probability distribution of the error variable ε is assumed to be:

The problem of multicollinearity arises when the:

If a group of independent variables are not significant individually but are significant as a group at a specified level of significance,this is most likely due to:

Most statistical software print a second R² statistic,called the coefficient of determination adjusted for degrees of freedom,which has been adjusted to take into account the sample size and the number of independent variables.

What Is Statistics

Graphical Descriptive Techniques 1

Graphical Descriptive Techniques 2

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populations

Analysis of Variance

Chi-Squared Tests

Simple Linear Regression and Correlation

Model Building

Nonparametric Statistics

Time-Series Analytics and Forecasting

Statistical Process Control

Decision Analysis

Conclusion

Filters

Exam 17: Multiple Regression

A multiple regression is called "multiple" because it has several explanatory variables.

A practical way to identify multicollinearity is through the examination of a correlation ____________________ that shows the correlations of each variable with each of the other variables.

If the residuals in a regression analysis of time ordered data are not correlated,the value of the Durbin-Watson d statistic should be near ____________________.

A multiple regression model has the form: .As x2 increases by one unit,holding x1 constant,then the value of y will increase by:

In a multiple regression model,the value of the coefficient of determination has to fall between

For a multiple regression model,the following statistics are given: Total variation in y = 500,SSE = 80,and n = 25.Then,the coefficient of determination is:

Multicollinearity is present when there is a high degree of correlation between the dependent variable and any of the independent variables.

A(n)____________________ value of the F-test statistic indicates that the multiple regression model is valid.

We test an individual coefficient in a multiple regression model using a(n)_________ test.

In a multiple regression model,the mean of the probability distribution of the error variable ε is assumed to be:

The problem of multicollinearity arises when the:

If a group of independent variables are not significant individually but are significant as a group at a specified level of significance,this is most likely due to:

Most statistical software print a second R2 statistic,called the coefficient of determination adjusted for degrees of freedom,which has been adjusted to take into account the sample size and the number of independent variables.

What Is Statistics

Graphical Descriptive Techniques 1

Graphical Descriptive Techniques 2

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populations

Analysis of Variance

Chi-Squared Tests

Simple Linear Regression and Correlation

Model Building

Nonparametric Statistics

Time-Series Analytics and Forecasting

Statistical Process Control

Decision Analysis

Conclusion

Filters

A multiple regression model has the form: .As x₂ increases by one unit,holding x₁ constant,then the value of y will increase by:

Most statistical software print a second R² statistic,called the coefficient of determination adjusted for degrees of freedom,which has been adjusted to take into account the sample size and the number of independent variables.