Question 1

If the Durbin-Watson statistic d has values smaller than 2, this indicates

Accepted Answer

A)  a positive first-order autocorrelation 
B)  a negative first-order autocorrelation 
C)  no first-order autocorrelation at all 
D)  None of these choices. 
A)  a positive first-order autocorrelation 
B)  a negative first-order autocorrelation 
C)  no first-order autocorrelation at all 
D)  None of these choices. A

Question 2

In a multiple regression analysis involving 6 independent variables, the total variation in y is 900 and SSR = 600.What is the value of SSE?

Accepted Answer

A)  300 
B)  1.50 
C)  0.67 
D)  None of these choices. 
A)  300 
B)  1.50 
C)  0.67 
D)  None of these choices. A

Question 3

The Durbin-Watson test allows the statistics practitioner to determine whether there is evidence of first-order autocorrelation.

Accepted Answer

A) True 
 B)False  True

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
   ANOVA
    
-{Real Estate Builder Narrative} Interpret the value of the Adjusted R-Square.

Accepted Answer

The Adjusted R-Square is 0.748

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} One individual in the sample had an annual income of $10,000, a family size of 1, and an education of 8 years.This individual owned a home with an area of 1,000 square fee (House = 10.00).What is the residual (in hundreds of square feet) for this data point?

Accepted Answer

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

Question 6

Given that the Durbin-Watson test is conducted to test for positive first-order autocorrelation with $\alpha$= .05, n = 20, and there are two independent variables in the model, the critical values for the test are dL = __________ and dU = __________, respectively.

Accepted Answer

Question 7

For a multiple regression model the following statistics are given: Total variation in y = 250, SSE = 50, k = 4, and n = 20.Then, the coefficient of determination adjusted for the degrees of freedom is:

Accepted Answer

A)  0.800 
B)  0.747 
C)  0.840 
D)  0.775 
A)  0.800 
B)  0.747 
C)  0.840 
D)  0.775

Question 8

A multiple regression equation has a coefficient of determination of 0.81.Then, the percentage of the variation in y that is explained by the regression equation is 90%.

Accepted Answer

A) True 
 B)False

Question 9

The parameter estimates are biased when multicollinearity is present in a multiple regression equation.

Accepted Answer

A) True 
 B)False

Question 10

The Durbin-Watson statistic, d, is defined as   , where ei is the residual at time period i.

Accepted Answer

A) True 
 B)False

Question 11

In a multiple regression analysis involving k independent variables and n data points, the number of degrees of freedom associated with the sum of squares for error is:

Accepted Answer

A)  k - 1 
B)  n - k 
C)  n - 1 
D)  n - k - 1 
A)  k - 1 
B)  n - k 
C)  n - 1 
D)  n - k - 1

Question 12

If the value of the Durbin-Watson test statistic, d, satisfies the inequality d > 4 -dL, we conclude that positive first-order autocorrelation exists.

Accepted Answer

A) True 
 B)False

Question 13

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} 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 14

To test the validity of a multiple regression model, we test the null hypothesis that the regression coefficients are all zero by applying the:

Accepted Answer

A)  F-test 
B)  t-test 
C)  z-test 
D)  None of these choices. 
A)  F-test 
B)  t-test 
C)  z-test 
D)  None of these choices.

Question 15

Three predictor variables are being considered for use in a linear regression model.Given the correlation matrix below, does it appear that multicollinearity could be a problem?

Accepted Answer

It appears that multicollinear

Question 16

When the independent variables are correlated with one another in a multiple regression analysis, this condition is called:

Accepted Answer

A)  heteroscedasticity. 
B)  homoscedasticity. 
C)  multicollinearity. 
D)  None of these choices. 
A)  heteroscedasticity. 
B)  homoscedasticity. 
C)  multicollinearity. 
D)  None of these choices.

Question 17

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} Is there enough evidence at the 5% significance level to infer that the cholesterol level and the age at death are negatively linearly related?

Accepted Answer

@#IMG-DLM& vs. @#IMG-DLM& Rejection region: t < -t_0.05,36 @#LAT-DLM& -1.69 Te

Question 18

Because of multicollinearity, the t-tests of the individual coefficients may indicate that some independent variables are not linearly related to the dependent variable, when in fact they are.

Accepted Answer

A) True 
 B)False

Question 19

If the value of the Durbin-Watson statistic, d, satisfies the inequality dL $\le$ d $\le$dU, where dL and dU are the critical values for d, then the test for positive first-order autocorrelation is inconclusive.

Accepted Answer

A) True 
 B)False

Question 20

Some of the requirements for the error variable in a multiple regression model are that the standard deviation is a(n) ____________________ and the errors are ____________________.

Accepted Answer

constant;

If the Durbin-Watson statistic d has values smaller than 2, this indicates

In a multiple regression analysis involving 6 independent variables, the total variation in y is 900 and SSR = 600.What is the value of SSE?

The Durbin-Watson test allows the statistics practitioner to determine whether there is evidence of first-order autocorrelation.

Given that the Durbin-Watson test is conducted to test for positive first-order autocorrelation with $\alpha$ = .05, n = 20, and there are two independent variables in the model, the critical values for the test are d_L = __________ and d_U = __________, respectively.

For a multiple regression model the following statistics are given: Total variation in y = 250, SSE = 50, k = 4, and n = 20.Then, the coefficient of determination adjusted for the degrees of freedom is:

A multiple regression equation has a coefficient of determination of 0.81.Then, the percentage of the variation in y that is explained by the regression equation is 90%.

The parameter estimates are biased when multicollinearity is present in a multiple regression equation.

The Durbin-Watson statistic, d, is defined as , where e_i is the residual at time period i.

In a multiple regression analysis involving k independent variables and n data points, the number of degrees of freedom associated with the sum of squares for error is:

If the value of the Durbin-Watson test statistic, d, satisfies the inequality d > 4 -d_L, we conclude that positive first-order autocorrelation exists.

To test the validity of a multiple regression model, we test the null hypothesis that the regression coefficients are all zero by applying the:

Three predictor variables are being considered for use in a linear regression model.Given the correlation matrix below, does it appear that multicollinearity could be a problem?

When the independent variables are correlated with one another in a multiple regression analysis, this condition is called:

Because of multicollinearity, the t-tests of the individual coefficients may indicate that some independent variables are not linearly related to the dependent variable, when in fact they are.

If the value of the Durbin-Watson statistic, d, satisfies the inequality d_L $\le$ d $\le$ d_U, where d_L and d_U are the critical values for d, then the test for positive first-order autocorrelation is inconclusive.

Some of the requirements for the error variable in a multiple regression model are that the standard deviation is a(n) and the errors are .

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

If the Durbin-Watson statistic d has values smaller than 2, this indicates

In a multiple regression analysis involving 6 independent variables, the total variation in y is 900 and SSR = 600.What is the value of SSE?

The Durbin-Watson test allows the statistics practitioner to determine whether there is evidence of first-order autocorrelation.

Given that the Durbin-Watson test is conducted to test for positive first-order autocorrelation with α\alphaα = .05, n = 20, and there are two independent variables in the model, the critical values for the test are dL = __________ and dU = __________, respectively.

For a multiple regression model the following statistics are given: Total variation in y = 250, SSE = 50, k = 4, and n = 20.Then, the coefficient of determination adjusted for the degrees of freedom is:

A multiple regression equation has a coefficient of determination of 0.81.Then, the percentage of the variation in y that is explained by the regression equation is 90%.

The parameter estimates are biased when multicollinearity is present in a multiple regression equation.

The Durbin-Watson statistic, d, is defined as , where ei is the residual at time period i.

In a multiple regression analysis involving k independent variables and n data points, the number of degrees of freedom associated with the sum of squares for error is:

If the value of the Durbin-Watson test statistic, d, satisfies the inequality d > 4 -dL, we conclude that positive first-order autocorrelation exists.

To test the validity of a multiple regression model, we test the null hypothesis that the regression coefficients are all zero by applying the:

Three predictor variables are being considered for use in a linear regression model.Given the correlation matrix below, does it appear that multicollinearity could be a problem?

When the independent variables are correlated with one another in a multiple regression analysis, this condition is called:

Because of multicollinearity, the t-tests of the individual coefficients may indicate that some independent variables are not linearly related to the dependent variable, when in fact they are.

If the value of the Durbin-Watson statistic, d, satisfies the inequality dL ≤\le≤ d ≤\le≤ dU, where dL and dU are the critical values for d, then the test for positive first-order autocorrelation is inconclusive.

Some of the requirements for the error variable in a multiple regression model are that the standard deviation is a(n) ____________________ and the errors are ____________________.

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

Given that the Durbin-Watson test is conducted to test for positive first-order autocorrelation with $\alpha$ = .05, n = 20, and there are two independent variables in the model, the critical values for the test are d_L = __________ and d_U = __________, respectively.

The Durbin-Watson statistic, d, is defined as , where e_i is the residual at time period i.

If the value of the Durbin-Watson test statistic, d, satisfies the inequality d > 4 -d_L, we conclude that positive first-order autocorrelation exists.

If the value of the Durbin-Watson statistic, d, satisfies the inequality d_L $\le$ d $\le$ d_U, where d_L and d_U are the critical values for d, then the test for positive first-order autocorrelation is inconclusive.

Some of the requirements for the error variable in a multiple regression model are that the standard deviation is a(n) and the errors are .