Question 1

A multiple regression model has the form   .As x3 increases by one unit, with x1 and x2 held constant, the y on average is expected to:

Accepted Answer

A)  increase by 1 unit. 
B)  increase by 12 units. 
C)  decrease by 4 units. 
D)  decrease by 16 units. 
A)  increase by 1 unit. 
B)  increase by 12 units. 
C)  decrease by 4 units. 
D)  decrease by 16 units.

Question 2

There are several clues to the presence of multicollinearity.One clue is when an independent variable is added or deleted, the regression coefficients for the other variables ____________________.

Accepted Answer

The answer of There are several clues to the presence...

Question 3

In a multiple regression analysis, if the model provides a poor fit, this indicates that:

Accepted Answer

A)  the coefficient of determination will be close to zero. 
B)  the standard error of estimate will be large. 
C)  the sum of squares for error will be large. 
D)  All of these choices are true. 
A)  the coefficient of determination will be close to zero. 
B)  the standard error of estimate will be large. 
C)  the sum of squares for error will be large. 
D)  All of these choices are true.

Question 4

There are several clues to the presence of multicollinearity.One clue is when a regression coefficient exhibits the wrong ____________________.

Accepted Answer

The answer of There are several clues to the presence...

Question 5

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
   ANOVA
    
-{Real Estate Builder Narrative} Suppose the builder wants to test whether the coefficient on income is significantly different from 0.What is the value of the relevant t-statistic?

Accepted Answer

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

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
     ANALYSIS OF VARIANCE
  
-{Life Expectancy Narrative} Interpret the coefficient b1.

Accepted Answer

b₁ = 1.79.This tells us for each addition

Question 7

For the following multiple regression model:   , a unit increase in x1, holding x2 and x3 constant, results in:

Accepted Answer

A)  a decrease of 3 units on average in the value of y. 
B)  an increase of 8 units in the value of y. 
C)  an increase of 3 units on average in the value of y. 
D)  None of these choices. 
A)  a decrease of 3 units on average in the value of y. 
B)  an increase of 8 units in the value of y. 
C)  an increase of 3 units on average in the value of y. 
D)  None of these choices.

Question 8

A high value of the coefficient of determination significantly above 0 in multiple regression, accompanied by insignificant t-statistics on all parameter estimates, very often indicates a high correlation between independent variables in the model.

Accepted Answer

A) True 
 B)False

Question 9

A multiple regression model has the form   .The coefficient b1 is interpreted as the change in the average value of y per unit change in ________ holding ________ constant.

Accepted Answer

Question 10

In a multiple regression analysis involving 4 independent variables and 30 data points, the number of degrees of freedom associated with the sum of squares for error, SSE, is 25.

Accepted Answer

A) True 
 B)False

Question 11

In order to test the significance of a multiple regression model involving 4 independent variables and 25 observations, the numerator and denominator degrees of freedom for the critical value of F are 3 and 21, respectively.

Accepted Answer

A) True 
 B)False

Question 12

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 13

A multiple regression model involves 5 independent variables and a sample of 10 data points.If we want to test the validity of the model at the 5% significance level, the critical value is:

Accepted Answer

A)  6.26 
B)  3.33 
C)  9.36 
D)  4.24 
A)  6.26 
B)  3.33 
C)  9.36 
D)  4.24

Question 14

When an additional explanatory variable is introduced into a multiple regression model, the coefficient of determination will never decrease.

Accepted Answer

A) True 
 B)False

Question 15

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
   ANOVA
    
-{Real Estate Builder Narrative} When the builder used a simple linear regression model with house size as the dependent variable and education as the independent variable, he obtained an R-square value of 23.0%.What additional percentage of the total variation in house size has been explained by including family size and income in the multiple regression?

Accepted Answer

86.5% - 23.0% = 63.5%.This mea

Question 16

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 17

The total variation in y is equal to SSR + ____________________.

Accepted Answer

SSE
sum of

Question 18

To use the Durbin-Watson test to test for negative first-order autocorrelation, the null hypothesis will be H0: ____________________ (there is/there is no) first-order autocorrelation.

Accepted Answer

Question 19

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

Accepted Answer

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

Question 20

The validity of a multiple regression model is tested using a(n) _________ test.

Accepted Answer

The answer of The validity of a multiple regression model...

A multiple regression model has the form .As x₃ increases by one unit, with x₁ and x₂ held constant, the y on average is expected to:

There are several clues to the presence of multicollinearity.One clue is when an independent variable is added or deleted, the regression coefficients for the other variables ____________________.

In a multiple regression analysis, if the model provides a poor fit, this indicates that:

There are several clues to the presence of multicollinearity.One clue is when a regression coefficient exhibits the wrong ____________________.

For the following multiple regression model: , a unit increase in x₁, holding x₂ and x₃ constant, results in:

A high value of the coefficient of determination significantly above 0 in multiple regression, accompanied by insignificant t-statistics on all parameter estimates, very often indicates a high correlation between independent variables in the model.

A multiple regression model has the form .The coefficient b₁ is interpreted as the change in the average value of y per unit change in holding constant.

In a multiple regression analysis involving 4 independent variables and 30 data points, the number of degrees of freedom associated with the sum of squares for error, SSE, is 25.

In order to test the significance of a multiple regression model involving 4 independent variables and 25 observations, the numerator and denominator degrees of freedom for the critical value of F are 3 and 21, respectively.

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.

A multiple regression model involves 5 independent variables and a sample of 10 data points.If we want to test the validity of the model at the 5% significance level, the critical value is:

When an additional explanatory variable is introduced into a multiple regression model, the coefficient of determination will never decrease.

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:

The total variation in y is equal to SSR + ____________________.

To use the Durbin-Watson test to test for negative first-order autocorrelation, the null hypothesis will be H₀: ____________________ (there is/there is no) first-order autocorrelation.

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

The validity of a multiple regression model is tested using a(n) _________ test.

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

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

Filters

Exam 17: Multiple Regression

A multiple regression model has the form .As x3 increases by one unit, with x1 and x2 held constant, the y on average is expected to:

There are several clues to the presence of multicollinearity.One clue is when an independent variable is added or deleted, the regression coefficients for the other variables ____________________.

In a multiple regression analysis, if the model provides a poor fit, this indicates that:

There are several clues to the presence of multicollinearity.One clue is when a regression coefficient exhibits the wrong ____________________.

For the following multiple regression model: , a unit increase in x1, holding x2 and x3 constant, results in:

A high value of the coefficient of determination significantly above 0 in multiple regression, accompanied by insignificant t-statistics on all parameter estimates, very often indicates a high correlation between independent variables in the model.

A multiple regression model has the form .The coefficient b1 is interpreted as the change in the average value of y per unit change in ________ holding ________ constant.

In a multiple regression analysis involving 4 independent variables and 30 data points, the number of degrees of freedom associated with the sum of squares for error, SSE, is 25.

In order to test the significance of a multiple regression model involving 4 independent variables and 25 observations, the numerator and denominator degrees of freedom for the critical value of F are 3 and 21, respectively.

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.

A multiple regression model involves 5 independent variables and a sample of 10 data points.If we want to test the validity of the model at the 5% significance level, the critical value is:

When an additional explanatory variable is introduced into a multiple regression model, the coefficient of determination will never decrease.

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:

The total variation in y is equal to SSR + ____________________.

To use the Durbin-Watson test to test for negative first-order autocorrelation, the null hypothesis will be H0: ____________________ (there is/there is no) first-order autocorrelation.

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

The validity of a multiple regression model is tested using a(n) _________ test.

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

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

Filters

A multiple regression model has the form .As x₃ increases by one unit, with x₁ and x₂ held constant, the y on average is expected to:

For the following multiple regression model: , a unit increase in x₁, holding x₂ and x₃ constant, results in:

A multiple regression model has the form .The coefficient b₁ is interpreted as the change in the average value of y per unit change in holding constant.

To use the Durbin-Watson test to test for negative first-order autocorrelation, the null hypothesis will be H₀: ____________________ (there is/there is no) first-order autocorrelation.