Question 1

The effects of different levels of qualitative independent variables are described using ___________ variables.

Accepted Answer

A) Dependent 
B) Response 
C) Dummy 
D) Quantitative 
A) Dependent 
B) Response 
C) Dummy 
D) Quantitative

Question 2

A member of the state legislature has expressed concern about the differences in the mathematics test scores of high school freshmen across the state.She asks her research assistant to conduct a study to investigate what factors could account for the differences.The research assistant looks at a random sample of school districts across the state and uses the factors of percentage of mathematics teachers in each district with a degree in mathematics,the average age of mathematics teachers,and the average salary of mathematics teachers.

Accepted Answer

\[\begin{array}{l}
\begin{array} { l r r

Question 3

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

Question 4

If we are testing the significance of the independent variable X1 and we reject the null hypothesis H0: β1 = 0,we conclude that:

Accepted Answer

A) X1 is significantly related to y. 
B) X1 is not significantly related to y. 
C) X1 is an unimportant independent variable. 
D) β1 is significantly related to the dependent variable y. 
A) X1 is significantly related to y. 
B) X1 is not significantly related to y. 
C) X1 is an unimportant independent variable. 
D) β1 is significantly related to the dependent variable y.

Question 5

Testing the contribution of individual independent variables with t tests is performed prior to the F test for the model in multiple regression analysis.

Accepted Answer

A) True 
 B)False

Question 6

In multiple regression analysis,the explained sum of squares divided by the total sum of squares yields the __________.

Accepted Answer

A) Standard error 
B) F statistic 
C) R2 
D) Adjusted R2 or 
E) t statistic 
A) Standard error 
B) F statistic 
C) R2 
D) Adjusted R2 or 
E) t statistic

Question 7

The primary use of stepwise regression is to identify the most important ___________ that should be included in the multiple regression model.

Accepted Answer

A) Independent variables 
B) Dependent variables 
C) Dummy variables 
D) Quadratic variables 
A) Independent variables 
B) Dependent variables 
C) Dummy variables 
D) Quadratic variables

Question 8

If we are predicting y when the values of the independent variables are x01,x02,... ,x0k,the farther the values of x01,x02,... ,x0k are 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 9

In a regression model,at any given combination of values of the independent variables,the population of potential error terms is assumed to have an F distribution.

Accepted Answer

A) True 
 B)False

Question 10

Consider the following partial computer output for a multiple regression model.

Accepted Answer

\[\begin{array} { l c c } 
\text { Predi

Question 11

Stepwise regression uses a series of ___________ tests during each iteration in order to determine which independent variables should be brought into the regression model.

Accepted Answer

A) C 
B) Chi-square 
C) t or F 
D) VIF 
A) C 
B) Chi-square 
C) t or F 
D) VIF

Question 12

A multiple regression model with 3 independent variables and 16 observations produced the following results: SSE = 15 and R2 = 2/3.Complete the analysis of variance table and calculate the F statistic.

Accepted Answer

F = 8.0 \[\begin{array} { l l l l l } 
\

Question 13

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

Accepted Answer

A) True 
 B)False

Question 14

A member of the state legislature has expressed concern about the differences in the mathematics test scores of high school freshmen across the state.She asks her research assistant to conduct a study to investigate what factors could account for the differences.The research assistant looks at a random sample of school districts across the state and uses the factors of percentage of mathematics teachers in each district with a degree in mathematics,the average age of mathematics teachers,and the average salary of mathematics teachers.

Accepted Answer

\[\begin{array}{l}
\begin{array} { l r r

The effects of different levels of qualitative independent variables are described using ___________ variables.

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.

If we are testing the significance of the independent variable X₁ and we reject the null hypothesis H₀: β₁ = 0,we conclude that:

Testing the contribution of individual independent variables with t tests is performed prior to the F test for the model in multiple regression analysis.

In multiple regression analysis,the explained sum of squares divided by the total sum of squares yields the __________.

The primary use of stepwise regression is to identify the most important ___________ that should be included in the multiple regression model.

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_k are from the center of the observed data,the smaller the distance value and the more precise the associated confidence and prediction intervals.

In a regression model,at any given combination of values of the independent variables,the population of potential error terms is assumed to have an F distribution.

Consider the following partial computer output for a multiple regression model.

Stepwise regression uses a series of ___________ tests during each iteration in order to determine which independent variables should be brought into the regression model.

A multiple regression model with 3 independent variables and 16 observations produced the following results: SSE = 15 and R² = 2/3.Complete the analysis of variance table and calculate the F statistic.

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

Statistical Inferences for Population Variances

Experimental Design and Analysis of Variance

Chi-Square Tests

Simple Linear Regression Analysis

Time Series Forecasting and Index Numbers

Process Improvement Using Control Charts

Nonparametric Methods

Decision Theory

Filters

Exam 15: Multiple Regression and Model Building

The effects of different levels of qualitative independent variables are described using ___________ variables.

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.

If we are testing the significance of the independent variable X1 and we reject the null hypothesis H0: β1 = 0,we conclude that:

Testing the contribution of individual independent variables with t tests is performed prior to the F test for the model in multiple regression analysis.

In multiple regression analysis,the explained sum of squares divided by the total sum of squares yields the __________.

The primary use of stepwise regression is to identify the most important ___________ that should be included in the multiple regression model.

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

In a regression model,at any given combination of values of the independent variables,the population of potential error terms is assumed to have an F distribution.

Consider the following partial computer output for a multiple regression model.

Stepwise regression uses a series of ___________ tests during each iteration in order to determine which independent variables should be brought into the regression model.

A multiple regression model with 3 independent variables and 16 observations produced the following results: SSE = 15 and R2 = 2/3.Complete the analysis of variance table and calculate the F statistic.

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

Statistical Inferences for Population Variances

Experimental Design and Analysis of Variance

Chi-Square Tests

Simple Linear Regression Analysis

Time Series Forecasting and Index Numbers

Process Improvement Using Control Charts

Nonparametric Methods

Decision Theory

Filters

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.

If we are testing the significance of the independent variable X₁ and we reject the null hypothesis H₀: β₁ = 0,we conclude that:

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_k are from the center of the observed data,the smaller the distance value and the more precise the associated confidence and prediction intervals.

A multiple regression model with 3 independent variables and 16 observations produced the following results: SSE = 15 and R² = 2/3.Complete the analysis of variance table and calculate the F statistic.