Question 1

In multiple regression analysis, the ratio MSR/MSE yields the:

Accepted Answer

A)  multiple coefficient of determination 
B)  F-test statistic for testing the validity of the regression equation 
C)  t-test statistic for testing each individual regression coefficient 
D)  adjusted multiple coefficient of determination 
E)  F-test statistic for testing the validity of the regression equation and t-test statistic for testing each individual regression coefficient 
A)  multiple coefficient of determination 
B)  F-test statistic for testing the validity of the regression equation 
C)  t-test statistic for testing each individual regression coefficient 
D)  adjusted multiple coefficient of determination 
E)  F-test statistic for testing the validity of the regression equation and t-test statistic for testing each individual regression coefficient

Question 2

In multiple regression analysis, the ratio MSR / MSE yields the:

Accepted Answer

A)  F-test statistic for testing the usefulness of the regression model 
B)  coefficient of determination 
C)  adjusted coefficient of determination(adj) 
D)  t-test statistic for testing each partial regression coefficient 
E)  coefficient of determinationand t-test statistic for testing each partial regression coefficient 
A)  F-test statistic for testing the usefulness of the regression model 
B)  coefficient of determination 
C)  adjusted coefficient of determination(adj) 
D)  t-test statistic for testing each partial regression coefficient 
E)  coefficient of determinationand t-test statistic for testing each partial regression coefficient

Question 3

In order to test the usefulness of a multiple regression model involving 5 predictor variables and 25 observations, the numerator and denominator degrees of freedom for the critical value of F are 4 and 24, respectively.

Accepted Answer

A) True 
 B)False

Question 4

A multiple regression equation includes 5 independent variables, and the coefficient of determination is 0.81. The percentage of the variation in y that is explained by the regression equation is:

Accepted Answer

A)  81% 
B)  90% 
C)  86% 
D)  85% 
E)  about 16% 
A)  81% 
B)  90% 
C)  86% 
D)  85% 
E)  about 16%

Question 5

In a multiple regression model involving 5 independent variables, if the sum of the squared residuals is 847 and the data set contains 40 points, then, the value of the standard error of the estimate is 24.911.

Accepted Answer

A) True 
 B)False

Question 6

Which of the following statements is correct regarding the multiple-regression equation:   ?

Accepted Answer

A)  This equation gives us the estimated valueof the dependent variable for any specified pair of values of the independent variables. 
B)  The estimated regression coefficient a represents the slope of the line. 
C)  The estimated regression coefficientequals the change in estimated Y that is associated with a unit change inand. 
D)  All are correct. 
E)  None of these are correct. 
A)  This equation gives us the estimated valueof the dependent variable for any specified pair of values of the independent variables. 
B)  The estimated regression coefficient a represents the slope of the line. 
C)  The estimated regression coefficientequals the change in estimated Y that is associated with a unit change inand. 
D)  All are correct. 
E)  None of these are correct.

Question 7

A multiple regression model forms a plane through multidimensional space.

Accepted Answer

A) True 
 B)False

Question 8

When two or more of the predictor variables are highly correlated with one another, adding or deleting a predictor variable may cause significant changes in the values of the other regression coefficients.

Accepted Answer

A) True 
 B)False

Question 9

A multiple regression model involves 40 observations and 4 independent variables produces SST = 2,000 and SSR = 1,608. The value of MSE is 11.2.

Accepted Answer

A) True 
 B)False

Question 10

The adjusted multiple coefficient of determination is adjusted for:

Accepted Answer

A)  number of regression parameters including 
B)  number of dependent variables and the sample size 
C)  number of predictor variables and the sample size 
D)  correlation coefficient 
E)  number of regression parameters includingand number of dependent variables and the sample size 
A)  number of regression parameters including 
B)  number of dependent variables and the sample size 
C)  number of predictor variables and the sample size 
D)  correlation coefficient 
E)  number of regression parameters includingand number of dependent variables and the sample size

Question 11

Which of the following correctly describes the coefficient of multiple determination?

Accepted Answer

A)  It is denoted byand is interpreted as the proportion of the total variation that is explained by the regression of y on the predictor variables. 
B)  It is computed as the ratio of total variation to explained variation. 
C)  In the case of two independent variables, it describes how well the regression hyperplane fits the data. 
D)  It is computed as the ratio of total variation to explained variation and in the case of two independent variables, it describes how well the regression hyperplane fits the data. 
E)  None of these. 
A)  It is denoted byand is interpreted as the proportion of the total variation that is explained by the regression of y on the predictor variables. 
B)  It is computed as the ratio of total variation to explained variation. 
C)  In the case of two independent variables, it describes how well the regression hyperplane fits the data. 
D)  It is computed as the ratio of total variation to explained variation and in the case of two independent variables, it describes how well the regression hyperplane fits the data. 
E)  None of these.

Question 12

In a multiple regression model where four independent variables are included in the model, the percentage of explained variation in the dependent variable will be equal to the square root of the sum of the largest correlations between the dependent variable and the four independent variables.

Accepted Answer

A) True 
 B)False

Question 13

The two largest values in a correlation matrix are the 0.89 correlation between y and x3 the 0.83 correlation between y and x7. During a stepwise regression analysis x3 is the first independent variable brought into the equation. Will x7 necessarily be next?
______________
Explain.
________________________________________________________

Accepted Answer

No; We do not know about the c

Question 14

In order to incorporate the marital status variable into a multiple regression model, there are four possible categories for this variable: married, single, divorced, or widow. Based on this information, four indictor variables will need to be created (one for each category) and incorporated into the regression model.

Accepted Answer

A) True 
 B)False

Question 15

If you wish to test the usefulness of a multiple regression model with three independent variables, the appropriate null and alternative hypotheses are   vs.

Accepted Answer

A) True 
 B)False

Question 16

In multiple regression models, the values of the error variable   are assumed to be:

Accepted Answer

A)  autocorrelated 
B)  dependent of each other 
C)  independent of each other 
D)  always positive 
E)  independent of each other and always positive 
A)  autocorrelated 
B)  dependent of each other 
C)  independent of each other 
D)  always positive 
E)  independent of each other and always positive

Question 17

In general, on what basis are independent variables selected for entry into the equation during stepwise regression?

Accepted Answer

Independent variables are selected for e

Question 18

In multiple regression, the descriptor "multiple" refers to more than one dependent variable.

Accepted Answer

A) True 
 B)False

Question 19

If you wish to develop a regression model in which the High School Class standing is a qualitative variable with 4 possible levels of response, then you will need to include how many dummy variables?

Accepted Answer

A)  6 
B)  5 
C)  4 
D)  3 
E)  none of these 
A)  6 
B)  5 
C)  4 
D)  3 
E)  none of these

Question 20

In a multiple regression model, there is only one dependent variable and two or more independent variables.

Accepted Answer

A) True 
 B)False

In multiple regression analysis, the ratio MSR/MSE yields the:

In multiple regression analysis, the ratio MSR / MSE yields the:

In order to test the usefulness of a multiple regression model involving 5 predictor variables and 25 observations, the numerator and denominator degrees of freedom for the critical value of F are 4 and 24, respectively.

A multiple regression equation includes 5 independent variables, and the coefficient of determination is 0.81. The percentage of the variation in y that is explained by the regression equation is:

In a multiple regression model involving 5 independent variables, if the sum of the squared residuals is 847 and the data set contains 40 points, then, the value of the standard error of the estimate is 24.911.

Which of the following statements is correct regarding the multiple-regression equation: ?

A multiple regression model forms a plane through multidimensional space.

When two or more of the predictor variables are highly correlated with one another, adding or deleting a predictor variable may cause significant changes in the values of the other regression coefficients.

A multiple regression model involves 40 observations and 4 independent variables produces SST = 2,000 and SSR = 1,608. The value of MSE is 11.2.

The adjusted multiple coefficient of determination is adjusted for:

Which of the following correctly describes the coefficient of multiple determination?

In a multiple regression model where four independent variables are included in the model, the percentage of explained variation in the dependent variable will be equal to the square root of the sum of the largest correlations between the dependent variable and the four independent variables.

If you wish to test the usefulness of a multiple regression model with three independent variables, the appropriate null and alternative hypotheses are vs.

In multiple regression models, the values of the error variable are assumed to be:

In general, on what basis are independent variables selected for entry into the equation during stepwise regression?

In multiple regression, the descriptor "multiple" refers to more than one dependent variable.

If you wish to develop a regression model in which the High School Class standing is a qualitative variable with 4 possible levels of response, then you will need to include how many dummy variables?

In a multiple regression model, there is only one dependent variable and two or more independent variables.

Describing Data With Graphs

Describing Data With Numerical Measures

Describing Bivariate Data

Probability and Probability Distributions

Several Useful Discrete Distributions

The Normal Probability Distribution

Sampling Distributions

Large-Sample Estimation

Large-Sample Tests of Hypotheses

Inference From Small Samples

The Analysis of Variance

Linear Regression and Correlation

Analysis of Categorical Data

Nonparametric Statistics

Filters

Exam 13: Multiple Regression Analysis

In multiple regression analysis, the ratio MSR/MSE yields the:

In multiple regression analysis, the ratio MSR / MSE yields the:

In order to test the usefulness of a multiple regression model involving 5 predictor variables and 25 observations, the numerator and denominator degrees of freedom for the critical value of F are 4 and 24, respectively.

A multiple regression equation includes 5 independent variables, and the coefficient of determination is 0.81. The percentage of the variation in y that is explained by the regression equation is:

In a multiple regression model involving 5 independent variables, if the sum of the squared residuals is 847 and the data set contains 40 points, then, the value of the standard error of the estimate is 24.911.

Which of the following statements is correct regarding the multiple-regression equation: ?

A multiple regression model forms a plane through multidimensional space.

When two or more of the predictor variables are highly correlated with one another, adding or deleting a predictor variable may cause significant changes in the values of the other regression coefficients.

A multiple regression model involves 40 observations and 4 independent variables produces SST = 2,000 and SSR = 1,608. The value of MSE is 11.2.

The adjusted multiple coefficient of determination is adjusted for:

Which of the following correctly describes the coefficient of multiple determination?

In a multiple regression model where four independent variables are included in the model, the percentage of explained variation in the dependent variable will be equal to the square root of the sum of the largest correlations between the dependent variable and the four independent variables.

If you wish to test the usefulness of a multiple regression model with three independent variables, the appropriate null and alternative hypotheses are vs.

In multiple regression models, the values of the error variable are assumed to be:

In general, on what basis are independent variables selected for entry into the equation during stepwise regression?

In multiple regression, the descriptor "multiple" refers to more than one dependent variable.

If you wish to develop a regression model in which the High School Class standing is a qualitative variable with 4 possible levels of response, then you will need to include how many dummy variables?

In a multiple regression model, there is only one dependent variable and two or more independent variables.

Describing Data With Graphs

Describing Data With Numerical Measures

Describing Bivariate Data

Probability and Probability Distributions

Several Useful Discrete Distributions

The Normal Probability Distribution

Sampling Distributions

Large-Sample Estimation

Large-Sample Tests of Hypotheses

Inference From Small Samples

The Analysis of Variance

Linear Regression and Correlation

Analysis of Categorical Data

Nonparametric Statistics

Filters