Question 1

Given the regression model y = β0 + β1x1 + β2x2 + β3x12 + β4x22 + ε,if we wish to test the significance of higher-order terms (x12and x22),which test would we use?

Accepted Answer

A)  overall F test 
B)  Durbin-Watson test 
C)  partial F test 
D)  t test 
E)  Cook's distance measure

Question 2

Which one of the following is not an assumption about the residuals in a regression model?

Accepted Answer

A)  constant variance 
B)  independence 
C)  normality 
D)  variance of zero 
E)  mean of zero

Question 3

Because multiple regression models consist of multiple independent variables,residual analysis cannot be performed.

Accepted Answer

A) True 
 B)False

Question 4

Multicollinearity is severe if the largest variance inflation factor (VIF)is greater than _____.

Accepted Answer

A)  100 
B)  5 
C)  10 
D)  1

Question 5

It is appropriate to use an interaction variable if the relationship between the dependent variable and one of the independent variables depends on the value of theother independent variable.

Accepted Answer

A) True 
 B)False

Question 6

The _________ regression method is used when the response variable is a qualitative or a categorical variable.

Accepted Answer

A)  quadratic 
B)  logistic 
C)  multiple 
D)  simple

Question 7

The range of feasible values for the multiple coefficient of correlation is from ________.

Accepted Answer

A)  0 to 
B)  −1 to 0 
C)  −1 to 1 
D)  0 to 1 
E)  -

Question 8

The normal plot is a residual plot that checks the normality assumption.

Accepted Answer

A) True 
 B)False

Question 9

In a multiple regression analysis,the current model has three independent variables.The analyst decides to add another (fourth)independent variable while retaining the other three independent variables.As a result of this addition,the value of MSE will ____________ decrease.

Accepted Answer

A)  always 
B)  sometimes 
C)  never

Question 10

The graph of the prediction equation obtained from the model y = β0 + β1X1 + β2X12 + εis a(n)____________.

Accepted Answer

A)  line 
B)  plane 
C)  parabola 
D)  exponential curve

Question 11

The variance inflation factor measures the relationship between the dependent variable and the rest of the independent variables in the regression model.

Accepted Answer

A) True 
 B)False

Question 12

Dummy variables take on the values of _________ and are used to model the effects of different levels of qualitative variables.

Accepted Answer

A)  1 or −1 
B)  1 or 2 
C)  0 or 2 
D)  0 or 1

Question 13

is defined as

Accepted Answer

A)  total variation/explained variation. 
B)  explained variation/total variation. 
C)  unexplained variation/explained variation. 
D)  unexplained variation/total variation.

Question 14

If we are predicting y when the values of the independent variables are x01,x02,... ,x0k,the farther the values of x01,x02,... ,x0kare from the center of the observed data,the smaller the distance value and the more precise the associated confidence and prediction intervals.

Accepted Answer

A) True 
 B)False

Question 15

In the quadratic regression model y = β0 + β1X1 + β2X12 + ε,the β1term represents the

Accepted Answer

A)  rate of curvature of the parabola. 
B)  value of Y when X is zero. 
C)  shift parameter of the parabola. 
D)  y-intercept of the parabola.

Question 16

A multiple regression analysis with 20 observations on each of three independent variables and the dependent variable would yield ______ and _______ degrees of freedom,respectively,for regression (explaineD)and error.

Accepted Answer

A)  3,17 
B)  3,16 
C)  4,16 
D)  3,19 
E)  3,20

Question 17

The graph of the prediction equation obtained from the model y = β0 + β1X1 + β2X2 + ε is a(n)__________.

Accepted Answer

A)  line 
B)  plane 
C)  parabola 
D)  exponential curve

Question 18

In comparing regression models,the regression model with the largest R2will also have the smallest standard error (s).

Accepted Answer

A) True 
 B)False

Question 19

If a multiple regression model has a(n)____________ statistic substantially greater than k + 1,then it can be shown that this model has substantial bias and is undesirable.

Accepted Answer

A)  C 
B)  F 
C)  Cook's distance 
D)  Durbin-Watson

Question 20

In a multiple regression analysis,if the normal probability plot exhibits approximately a straight line,then it can be concluded that the assumption of normality is not violated.

Accepted Answer

A) True 
 B)False

Exam 14: Simple Linear Regression Analysis

Given the regression model y = β₀ + β₁x₁ + β₂x₂ + β₃x₁² + β₄x₂² + ε,if we wish to test the significance of higher-order terms (x₁²and x₂²) ,which test would we use?

Which one of the following is not an assumption about the residuals in a regression model?

Because multiple regression models consist of multiple independent variables,residual analysis cannot be performed.

Multicollinearity is severe if the largest variance inflation factor (VIF) is greater than _____.

It is appropriate to use an interaction variable if the relationship between the dependent variable and one of the independent variables depends on the value of theother independent variable.

The _________ regression method is used when the response variable is a qualitative or a categorical variable.

The range of feasible values for the multiple coefficient of correlation is from ________.

The normal plot is a residual plot that checks the normality assumption.

In a multiple regression analysis,the current model has three independent variables.The analyst decides to add another (fourth) independent variable while retaining the other three independent variables.As a result of this addition,the value of MSE will ____________ decrease.

The graph of the prediction equation obtained from the model y = β₀ + β₁X₁ + β₂X₁² + εis a(n) ____________.

The variance inflation factor measures the relationship between the dependent variable and the rest of the independent variables in the regression model.

Dummy variables take on the values of _________ and are used to model the effects of different levels of qualitative variables.

is defined as

If we are predicting y when the values of the independent variables are x₀₁,x₀₂,... ,x₀_k,the farther the values of x₀₁,x₀₂,... ,x₀_kare from the center of the observed data,the smaller the distance value and the more precise the associated confidence and prediction intervals.

In the quadratic regression model y = β₀ + β₁X₁ + β₂X₁² + ε,the β₁term represents the

A multiple regression analysis with 20 observations on each of three independent variables and the dependent variable would yield and _ degrees of freedom,respectively,for regression (explaineD) and error.

The graph of the prediction equation obtained from the model y = β₀ + β₁X₁ + β₂X₂ + ε is a(n) __________.

In comparing regression models,the regression model with the largest R²will also have the smallest standard error (s).

If a multiple regression model has a(n) ____________ statistic substantially greater than k + 1,then it can be shown that this model has substantial bias and is undesirable.

In a multiple regression analysis,if the normal probability plot exhibits approximately a straight line,then it can be concluded that the assumption of normality is not violated.

Exam 14: Simple Linear Regression Analysis

Given the regression model y = β0 + β1x1 + β2x2 + β3x12 + β4x22 + ε,if we wish to test the significance of higher-order terms (x12and x22) ,which test would we use?

Which one of the following is not an assumption about the residuals in a regression model?

Because multiple regression models consist of multiple independent variables,residual analysis cannot be performed.

Multicollinearity is severe if the largest variance inflation factor (VIF) is greater than _____.

It is appropriate to use an interaction variable if the relationship between the dependent variable and one of the independent variables depends on the value of theother independent variable.

The _________ regression method is used when the response variable is a qualitative or a categorical variable.

The range of feasible values for the multiple coefficient of correlation is from ________.

The normal plot is a residual plot that checks the normality assumption.

In a multiple regression analysis,the current model has three independent variables.The analyst decides to add another (fourth) independent variable while retaining the other three independent variables.As a result of this addition,the value of MSE will ____________ decrease.

The graph of the prediction equation obtained from the model y = β0 + β1X1 + β2X12 + εis a(n) ____________.

The variance inflation factor measures the relationship between the dependent variable and the rest of the independent variables in the regression model.

Dummy variables take on the values of _________ and are used to model the effects of different levels of qualitative variables.

is defined as

If we are predicting y when the values of the independent variables are x01,x02,... ,x0k,the farther the values of x01,x02,... ,x0kare from the center of the observed data,the smaller the distance value and the more precise the associated confidence and prediction intervals.

In the quadratic regression model y = β0 + β1X1 + β2X12 + ε,the β1term represents the

A multiple regression analysis with 20 observations on each of three independent variables and the dependent variable would yield ______ and _______ degrees of freedom,respectively,for regression (explaineD) and error.

The graph of the prediction equation obtained from the model y = β0 + β1X1 + β2X2 + ε is a(n) __________.

In comparing regression models,the regression model with the largest R2will also have the smallest standard error (s).

If a multiple regression model has a(n) ____________ statistic substantially greater than k + 1,then it can be shown that this model has substantial bias and is undesirable.

In a multiple regression analysis,if the normal probability plot exhibits approximately a straight line,then it can be concluded that the assumption of normality is not violated.

Given the regression model y = β₀ + β₁x₁ + β₂x₂ + β₃x₁² + β₄x₂² + ε,if we wish to test the significance of higher-order terms (x₁²and x₂²) ,which test would we use?

The graph of the prediction equation obtained from the model y = β₀ + β₁X₁ + β₂X₁² + εis a(n) ____________.

If we are predicting y when the values of the independent variables are x₀₁,x₀₂,... ,x₀_k,the farther the values of x₀₁,x₀₂,... ,x₀_kare from the center of the observed data,the smaller the distance value and the more precise the associated confidence and prediction intervals.

In the quadratic regression model y = β₀ + β₁X₁ + β₂X₁² + ε,the β₁term represents the

A multiple regression analysis with 20 observations on each of three independent variables and the dependent variable would yield and _ degrees of freedom,respectively,for regression (explaineD) and error.

The graph of the prediction equation obtained from the model y = β₀ + β₁X₁ + β₂X₂ + ε is a(n) __________.

In comparing regression models,the regression model with the largest R²will also have the smallest standard error (s).