Question 1

The model y = $\beta$ 0 + $\beta$ 1x1 + $\beta$ 2x2 + $\beta$ 3x3 + $\varepsilon$ is a first-order regression model.

Accepted Answer

A) True 
 B)False  True

Question 2

Understand the limitations and pitfalls of multiple regression analysis.

Accepted Answer

Many factors affect the validity of the regression equation.Some of these factors are: (a)If an observation is atypical (called an "outlier"),it can be so influential as to actually change the regression line substantially.(b)When we extrapolate our regression equation to values not included in the range of data,we need to exercise caution,as the relationship may not hold outside the range.(c)When independent variables are highly correlated among themselves or when the relationship is not linear,the multiple regression analysis may provide misleading results.(d)When we use small samples or a large number of variables,we may obtain a sizable R² even when there is no relationship.

Question 3

The following ANOVA table is from a multiple regression analysis:   The observed F value is ___.

Accepted Answer

A) 20 
B) 400 
C) 2000 
D) 500 
E) 10 
A) 20 
B) 400 
C) 2000 
D) 500 
E) 10 A

Question 4

The following ANOVA table is from a multiple regression analysis:   The number of independent variables in the analysis is ___.

Accepted Answer

A) 30 
B) 25 
C) 1 
D) 5 
E) 2 
A) 30 
B) 25 
C) 1 
D) 5 
E) 2

Question 5

A market analyst is developing a regression model to predict monthly household expenditures on groceries as a function of family size,household income,and household neighbourhood (urban,suburban,and rural).The "neighbourhood" variable in this model is ___.

Accepted Answer

A) an independent variable 
B) a response variable 
C) a quantitative variable 
D) a dependent variable 
E) a constant 
A) an independent variable 
B) a response variable 
C) a quantitative variable 
D) a dependent variable 
E) a constant

Question 6

The following ANOVA table is from a multiple regression analysis:   The value of the standard error of the estimate se is ___.

Accepted Answer

A) 20.00 
B) 44.72 
C) 4.47 
D) 22.36 
E) 12.47 
A) 20.00 
B) 44.72 
C) 4.47 
D) 22.36 
E) 12.47

Question 7

A multiple regression analysis produced the following tables:     
Using $\alpha$ = 0.05 to test the null hypothesis H0: $\beta$1 = $\beta$2 = 0,the critical F value is ___.

Accepted Answer

A) 3.74 
B) 3.89 
C) 4.75 
D) 4.60 
E) 2.74 
A) 3.74 
B) 3.89 
C) 4.75 
D) 4.60 
E) 2.74

Question 8

The following ANOVA table is from a multiple regression analysis:   The MSE value is ___.

Accepted Answer

A) 20 
B) 400 
C) 2000 
D) 500 
E) 100 
A) 20 
B) 400 
C) 2000 
D) 500 
E) 100

Question 9

A multiple regression analysis produced the following tables:     
Using $\alpha$ = 0.01 to test the null hypothesis H0: $\beta$2 = 0,the critical t value is ___.

Accepted Answer

A) ± 1.174 
B) ± 2.093 
C) ± 2.131 
D) ± 4.012 
E) ± 3.012 
A) ± 1.174 
B) ± 2.093 
C) ± 2.131 
D) ± 4.012 
E) ± 3.012

Question 10

The following ANOVA table is from a multiple regression analysis with n = 35 and four independent variables:   The value of the standard error of the estimate se is ___.

Accepted Answer

A) 13.23 
B) 3.16 
C) 17.32 
D) 26.46 
E) 10.00 
A) 13.23 
B) 3.16 
C) 17.32 
D) 26.46 
E) 10.00

Question 11

In the estimated multiple regression model y = b0 + b1x1 + b2 x2,if the value of x1 is increased by 2 and the value of x2 is increased by 3 simultaneously,the value of y will increase by (2b1+ 3b2)units.

Accepted Answer

A) True 
 B)False

Question 12

A cost accountant is developing a regression model to predict the total cost of producing a batch of printed circuit boards as a linear function of batch size (the number of boards produced in one lot or batch),production plant (Kingsland and Yorktown),and production shift (day and evening).In this model,"batch size" is ___.

Accepted Answer

A) a response variable 
B) an indicator variable 
C) a dependent variable 
D) a qualitative variable 
E) an independent variable 
A) a response variable 
B) an indicator variable 
C) a dependent variable 
D) a qualitative variable 
E) an independent variable

Question 13

A multiple regression analysis produced the following tables:     
Using $\alpha$ = 0.05 to test the null hypothesis H0: $\beta$1 = 0,the critical t value is ___.

Accepted Answer

A) ± 1.753 
B) ± 2.110 
C) ± 2.131 
D) ± 1.740 
E) ± 2.500 
A) ± 1.753 
B) ± 2.110 
C) ± 2.131 
D) ± 1.740 
E) ± 2.500

Question 14

The following ANOVA table is from a multiple regression analysis with n = 35 and four independent variables:   The observed F value is ___.

Accepted Answer

A) 17.50 
B) 2.33 
C) 0.70 
D) 0.43 
E) 0.50 
A) 17.50 
B) 2.33 
C) 0.70 
D) 0.43 
E) 0.50

Question 15

The multiple regression formulas used to estimate the regression coefficients are designed to ___.

Accepted Answer

A) minimize the total sum of squares (SST) 
B) minimize the sum of squares of error (SS
E)  
C) maximize the standard error of the estimate 
D) maximize the p value for the calculated F value 
E) minimize the mean error 
A) minimize the total sum of squares (SST) 
B) minimize the sum of squares of error (SS
E)  
C) maximize the standard error of the estimate 
D) maximize the p value for the calculated F value 
E) minimize the mean error

Question 16

A multiple regression analysis produced the following tables:     The regression equation for this analysis is ___.

Accepted Answer

A) y = 752.0833 + 11.87375 x1 + 1.908183 x2 
B) y = 752.0833 + 336.3158 x1 + 2.236241 x2 
C) y = 336.3158 + 5.32047 x1+ 0.662742 x22 
D) y = 2.236241 + 2.231711 x1 + 2.879226 x2 
E) y = 2.236241 + 2.231711 x1 - 2.879226 x2 
A) y = 752.0833 + 11.87375 x1 + 1.908183 x2 
B) y = 752.0833 + 336.3158 x1 + 2.236241 x2 
C) y = 336.3158 + 5.32047 x1+ 0.662742 x22 
D) y = 2.236241 + 2.231711 x1 + 2.879226 x2 
E) y = 2.236241 + 2.231711 x1 - 2.879226 x2

Question 17

A human resources analyst is developing a regression model to predict electricity production plant manager compensation as a function of production capacity of the plant,number of employees at the plant,and plant technology (coal,oil,and nuclear).The "plant technology" variable in this model is ___.

Accepted Answer

A) a response variable 
B) a dependent variable 
C) a quantitative variable 
D) an independent variable 
E) a constant 
A) a response variable 
B) a dependent variable 
C) a quantitative variable 
D) an independent variable 
E) a constant

Question 18

A multiple regression analysis produced the following tables:     The adjusted R2 is ___.

Accepted Answer

A) 0.2079 
B) 0.0860 
C) 0.5440 
D) 0.7921 
E) 1.0000 
A) 0.2079 
B) 0.0860 
C) 0.5440 
D) 0.7921 
E) 1.0000

Question 19

A multiple regression analysis produced the following tables:     
Using $\alpha$ = 0.10 to test the null hypothesis H0: $\beta$2 = 0,the critical t value is ___.

Accepted Answer

A) ±1.345 
B) ±1.356 
C) ±1.761 
D) ±2.782 
E) ±1.782 
A) ±1.345 
B) ±1.356 
C) ±1.761 
D) ±2.782 
E) ±1.782

Question 20

A multiple regression analysis produced the following tables:     The adjusted R2 is ___.

Accepted Answer

A) 0.9138 
B) 0.9408 
C) 0.8982 
D) 0.8851 
E) 0.8891 
A) 0.9138 
B) 0.9408 
C) 0.8982 
D) 0.8851 
E) 0.8891

The model y = $\beta$ ₀ + $\beta$ ₁x₁ + $\beta$ ₂x₂ + $\beta$ ₃x₃ + $\varepsilon$ is a first-order regression model.

Understand the limitations and pitfalls of multiple regression analysis.

The following ANOVA table is from a multiple regression analysis: The observed F value is ___.

The following ANOVA table is from a multiple regression analysis: The number of independent variables in the analysis is ___.

A market analyst is developing a regression model to predict monthly household expenditures on groceries as a function of family size,household income,and household neighbourhood (urban,suburban,and rural).The "neighbourhood" variable in this model is ___.

The following ANOVA table is from a multiple regression analysis: The value of the standard error of the estimate s_e is ___.

The following ANOVA table is from a multiple regression analysis: The MSE value is ___.

The following ANOVA table is from a multiple regression analysis with n = 35 and four independent variables: The value of the standard error of the estimate s_e is ___.

In the estimated multiple regression model y = b₀ + b₁x₁ + b₂x₂,if the value of x₁ is increased by 2 and the value of x₂ is increased by 3 simultaneously,the value of y will increase by (2b₁+ 3b₂)units.

The following ANOVA table is from a multiple regression analysis with n = 35 and four independent variables: The observed F value is ___.

The multiple regression formulas used to estimate the regression coefficients are designed to ___.

A multiple regression analysis produced the following tables: The regression equation for this analysis is ___.

A human resources analyst is developing a regression model to predict electricity production plant manager compensation as a function of production capacity of the plant,number of employees at the plant,and plant technology (coal,oil,and nuclear).The "plant technology" variable in this model is ___.

A multiple regression analysis produced the following tables: The adjusted R² is ___.

A multiple regression analysis produced the following tables: The adjusted R² is ___.

Introduction to Statistics

Charts and Graphs

Descriptive Statistics

Probability

Discrete Distributions

Continuous Distributions

Sampling and Sampling Distributions

Statistical Inference: Estimation for Single Populations

Statistical Inference: Hypothesis Testing for Single Populations

Statistical Inferences About Two Populations

Analysis of Variance and Design of Experiments

Simple Regression Analysis and Correlation

Building Multiple Regression Models

Time-Series Forecasting and Index Numbers

Analysis of Categorical Data

Nonparametric Statistics

Statistical Quality Control

Decision Analysis

Filters

Exam 13: Multiple Regression Analysis

The model y = β\betaβ 0 + β\betaβ 1x1 + β\betaβ 2x2 + β\betaβ 3x3 + ε\varepsilonε is a first-order regression model.

Understand the limitations and pitfalls of multiple regression analysis.

The following ANOVA table is from a multiple regression analysis: The observed F value is ___.

The following ANOVA table is from a multiple regression analysis: The number of independent variables in the analysis is ___.

A market analyst is developing a regression model to predict monthly household expenditures on groceries as a function of family size,household income,and household neighbourhood (urban,suburban,and rural).The "neighbourhood" variable in this model is ___.

The following ANOVA table is from a multiple regression analysis: The value of the standard error of the estimate se is ___.

A multiple regression analysis produced the following tables: Using α\alphaα = 0.05 to test the null hypothesis H0: β\betaβ 1 = β\betaβ 2 = 0,the critical F value is ___.

The following ANOVA table is from a multiple regression analysis: The MSE value is ___.

A multiple regression analysis produced the following tables: Using α\alphaα = 0.01 to test the null hypothesis H0: β\betaβ 2 = 0,the critical t value is ___.

The following ANOVA table is from a multiple regression analysis with n = 35 and four independent variables: The value of the standard error of the estimate se is ___.

In the estimated multiple regression model y = b0 + b1x1 + b2 x2,if the value of x1 is increased by 2 and the value of x2 is increased by 3 simultaneously,the value of y will increase by (2b1+ 3b2)units.

A multiple regression analysis produced the following tables: Using α\alphaα = 0.05 to test the null hypothesis H0: β\betaβ 1 = 0,the critical t value is ___.

The following ANOVA table is from a multiple regression analysis with n = 35 and four independent variables: The observed F value is ___.

The multiple regression formulas used to estimate the regression coefficients are designed to ___.

A multiple regression analysis produced the following tables: The regression equation for this analysis is ___.

A multiple regression analysis produced the following tables: The adjusted R2 is ___.

A multiple regression analysis produced the following tables: Using α\alphaα = 0.10 to test the null hypothesis H0: β\betaβ 2 = 0,the critical t value is ___.

A multiple regression analysis produced the following tables: The adjusted R2 is ___.

Introduction to Statistics

Charts and Graphs

Descriptive Statistics

Probability

Discrete Distributions

Continuous Distributions

Sampling and Sampling Distributions

Statistical Inference: Estimation for Single Populations

Statistical Inference: Hypothesis Testing for Single Populations

Statistical Inferences About Two Populations

Analysis of Variance and Design of Experiments

Simple Regression Analysis and Correlation

Building Multiple Regression Models

Time-Series Forecasting and Index Numbers

Analysis of Categorical Data

Nonparametric Statistics

Statistical Quality Control

Decision Analysis

Filters

The model y = $\beta$ ₀ + $\beta$ ₁x₁ + $\beta$ ₂x₂ + $\beta$ ₃x₃ + $\varepsilon$ is a first-order regression model.

The following ANOVA table is from a multiple regression analysis: The value of the standard error of the estimate s_e is ___.

The following ANOVA table is from a multiple regression analysis with n = 35 and four independent variables: The value of the standard error of the estimate s_e is ___.

In the estimated multiple regression model y = b₀ + b₁x₁ + b₂x₂,if the value of x₁ is increased by 2 and the value of x₂ is increased by 3 simultaneously,the value of y will increase by (2b₁+ 3b₂)units.

A multiple regression analysis produced the following tables: The adjusted R² is ___.

A multiple regression analysis produced the following tables: The adjusted R² is ___.