Question 1

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

Accepted Answer

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

Question 2

Assumptions of a regression model can be evaluated by plotting and analyzing the ________.

Accepted Answer

A)  independent variables 
B)  dependent variables 
C)  error terms 
D)  beta values 
A)  independent variables 
B)  dependent variables 
C)  error terms 
D)  beta values

Question 3

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

Accepted Answer

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

Question 4

Leverage value is a statistic used to determine an outlier.

Accepted Answer

A) True 
 B)False

Question 5

A partial F test is used to assess when at least one variable in a subset of squared and interaction variables in the multiple regression model is significant.

Accepted Answer

A) True 
 B)False

Question 6

The general form of the quadratic multiple regression models is

Accepted Answer

A)  y = β1x1 + β2x2 + ε 
B)  y = β0 + β1x1 + β2x2 + ε 
C)  y = β0 + β1x + β2x2 + ε 
D)  y = β0 + β1x2 + ε 
E)  y = β0 + β1x1 +β2x22+ ε 
A)  y = β1x1 + β2x2 + ε 
B)  y = β0 + β1x1 + β2x2 + ε 
C)  y = β0 + β1x + β2x2 + ε 
D)  y = β0 + β1x2 + ε 
E)  y = β0 + β1x1 +β2x22+ ε

Question 7

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

Accepted Answer

A) True 
 B)False

Question 8

In multiple regression analysis, a desirable residual plot has what type of appearance?

Accepted Answer

A)  curved 
B)  cyclical 
C)  fanning out 
D)  funneling in 
E)  horizontal band 
A)  curved 
B)  cyclical 
C)  fanning out 
D)  funneling in 
E)  horizontal band

Question 9

A studentized residual for an observation that is greater than 2 in absolute value is evidence that the observation is an outlier.

Accepted Answer

A) True 
 B)False

Question 10

Which of the following residual plots is not used in regression analysis?

Accepted Answer

A)  residuals vs. parameter estimates 
B)  residuals vs. values of an independent variable 
C)  residuals vs. time order 
D)  residuals vs. predicted values of the dependent variable 
E)  standardized residuals vs. predicted values of the dependent variable 
A)  residuals vs. parameter estimates 
B)  residuals vs. values of an independent variable 
C)  residuals vs. time order 
D)  residuals vs. predicted values of the dependent variable 
E)  standardized residuals vs. predicted values of the dependent variable

Question 11

An acceptable residual plot exhibits

Accepted Answer

A)  increasing error variance. 
B)  decreasing error variance. 
C)  constant error variance. 
D)  a curved pattern. 
E)  a mixture of increasing and decreasing error variance. 
A)  increasing error variance. 
B)  decreasing error variance. 
C)  constant error variance. 
D)  a curved pattern. 
E)  a mixture of increasing and decreasing error variance.

Question 12

In comparing regression models, the regression model with the largest R2 will also have the smallest standard error (s).

Accepted Answer

A) True 
 B)False

Question 13

When the quadratic regression model y = β0 + β1x + β2x2 + ε is used, the term β1 shows the rate of curvature of the parabola.

Accepted Answer

A) True 
 B)False

Question 14

________ is an iterative variable selection procedure that allows an independent variable to be added to a multiple regression model in one iteration and deleted during the next iteration.

Accepted Answer

A)  Logistic regression 
B)  Stepwise regression 
C)  Quadratic regression 
D)  Backward regression 
A)  Logistic regression 
B)  Stepwise regression 
C)  Quadratic regression 
D)  Backward regression

Question 15

Given the regression model y = β0 + β1x1 + β2x2 + β3x12 + β4x22 + ε, if we wish to test the significance of higher-order terms (x12 and 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 
A)  overall F test 
B)  Durbin-Watson test 
C)  partial F test 
D)  t test 
E)  Cook's distance measure

Question 16

A t-test is used in testing the significance of an individual independent variable.

Accepted Answer

A) True 
 B)False

Question 17

If a regression model with k independent variables has a C statistic less than ________, then the model is considered to be desirable.

Accepted Answer

A)  k + 1 
B)  k 
C)  k − 1 
D)  1/k 
E)  k − 2 
A)  k + 1 
B)  k 
C)  k − 1 
D)  1/k 
E)  k − 2

Question 18

The mean square error of a multiple regression model with k independent variables and n observations is ________.

Accepted Answer

A)  SSE / n 
B)  SSE / [n + (k + 1)] 
C)  SSE / [n − (k + 1)] 
D)  SSE / (k + 1) 
A)  SSE / n 
B)  SSE / [n + (k + 1)] 
C)  SSE / [n − (k + 1)] 
D)  SSE / (k + 1)

Question 19

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

Question 20

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

Accepted Answer

A) True 
 B)False

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

Assumptions of a regression model can be evaluated by plotting and analyzing the ________.

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

Leverage value is a statistic used to determine an outlier.

A partial F test is used to assess when at least one variable in a subset of squared and interaction variables in the multiple regression model is significant.

The general form of the quadratic multiple regression models is

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

In multiple regression analysis, a desirable residual plot has what type of appearance?

A studentized residual for an observation that is greater than 2 in absolute value is evidence that the observation is an outlier.

Which of the following residual plots is not used in regression analysis?

An acceptable residual plot exhibits

In comparing regression models, the regression model with the largest R² will also have the smallest standard error (s).

When the quadratic regression model y = β₀ + β₁x + β₂x² + ε is used, the term β₁ shows the rate of curvature of the parabola.

________ is an iterative variable selection procedure that allows an independent variable to be added to a multiple regression model in one iteration and deleted during the next iteration.

Given the regression model y = β₀ + β₁x₁ + β₂x₂ + β₃x₁² + β₄x₂² + ε, if we wish to test the significance of higher-order terms (x₁² and x₂²), which test would we use?

A t-test is used in testing the significance of an individual independent variable.

If a regression model with k independent variables has a C statistic less than ________, then the model is considered to be desirable.

The mean square error of a multiple regression model with k independent variables and n observations is ________.

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.

An Introduction to Business Statistics and Analytics

Descriptive Statistics and Analytics: Tabular and Graphical Methods

Descriptive Statistics and Analytics: Numerical Methods

Probability and Probability Models

Predictive Analytics I: Trees, K-Nearest Neighbors, Naive Bayes,

Discrete Random Variables

Continuous Random Variables

Sampling Distributions

Confidence Intervals

Hypothesis Testing

Statistical Inferences Based on Two Samples

Experimental Design and Analysis of Variance

Chi-Square Tests

Simple Linear Regression Analysis

Predictive Analytics Ii: Logistic Regression, Discriminate Analysis,

Time Series Forecasting and Index Numbers

Nonparametric Methods

Decision Theory

Filters

Exam 15: Multiple Regression and Model Building

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

Assumptions of a regression model can be evaluated by plotting and analyzing the ________.

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

Leverage value is a statistic used to determine an outlier.

A partial F test is used to assess when at least one variable in a subset of squared and interaction variables in the multiple regression model is significant.

The general form of the quadratic multiple regression models is

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

In multiple regression analysis, a desirable residual plot has what type of appearance?

A studentized residual for an observation that is greater than 2 in absolute value is evidence that the observation is an outlier.

Which of the following residual plots is not used in regression analysis?

An acceptable residual plot exhibits

In comparing regression models, the regression model with the largest R2 will also have the smallest standard error (s).

When the quadratic regression model y = β0 + β1x + β2x2 + ε is used, the term β1 shows the rate of curvature of the parabola.

________ is an iterative variable selection procedure that allows an independent variable to be added to a multiple regression model in one iteration and deleted during the next iteration.

Given the regression model y = β0 + β1x1 + β2x2 + β3x12 + β4x22 + ε, if we wish to test the significance of higher-order terms (x12 and x22), which test would we use?

A t-test is used in testing the significance of an individual independent variable.

If a regression model with k independent variables has a C statistic less than ________, then the model is considered to be desirable.

The mean square error of a multiple regression model with k independent variables and n observations is ________.

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.

An Introduction to Business Statistics and Analytics

Descriptive Statistics and Analytics: Tabular and Graphical Methods

Descriptive Statistics and Analytics: Numerical Methods

Probability and Probability Models

Predictive Analytics I: Trees, K-Nearest Neighbors, Naive Bayes,

Discrete Random Variables

Continuous Random Variables

Sampling Distributions

Confidence Intervals

Hypothesis Testing

Statistical Inferences Based on Two Samples

Experimental Design and Analysis of Variance

Chi-Square Tests

Simple Linear Regression Analysis

Predictive Analytics Ii: Logistic Regression, Discriminate Analysis,

Time Series Forecasting and Index Numbers

Nonparametric Methods

Decision Theory

Filters

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

In comparing regression models, the regression model with the largest R² will also have the smallest standard error (s).

When the quadratic regression model y = β₀ + β₁x + β₂x² + ε is used, the term β₁ shows the rate of curvature of the parabola.

Given the regression model y = β₀ + β₁x₁ + β₂x₂ + β₃x₁² + β₄x₂² + ε, if we wish to test the significance of higher-order terms (x₁² and x₂²), which test would we use?