Question 1

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

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 
A) Constant variance 
B) Independence 
C) Normality 
D) Variance of zero 
E) Mean of zero

Question 3

For a given multiple regression model with three independent variables,the value of the adjusted multiple coefficient of determination is _________ less than R2.

Accepted Answer

A) Always 
B) Sometimes 
C) Never 
A) Always 
B) Sometimes 
C) Never

Question 4

Consider the following partial computer output for a multiple regression model.   
Analysis of Variance   
Test the overall usefulness of the model at $\alpha$= .01.Calculate F and make your decision.

Accepted Answer

F = 8.23,reject H₀

Question 5

In a multiple regression model the residuals were plotted against the values of one of the independent variables.The plot exhibited a funneling out pattern of residuals.This means that as the value of the independent variable increases,the error terms tend to ________ and the model assumption of ________ is violated.

Accepted Answer

A) increase,constant variance 
B) increase,independence 
C) decrease,constant variance 
D) decrease,normality 
A) increase,constant variance 
B) increase,independence 
C) decrease,constant variance 
D) decrease,normality

Question 6

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 looked at a random sample of school districts across the state and used 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   s = 7.62090
Analysis of Variance     What is the number of observations in the sample?

Accepted Answer

The answer of A member of the state legislature has...

Question 7

Plotting the residuals in a time-ordered sequence will reveal possible violations of the __________ of error terms assumption.

Accepted Answer

A) Normality 
B) Independence 
C) Constant variation 
D) Residual sum 
A) Normality 
B) Independence 
C) Constant variation 
D) Residual sum

Question 8

Below is a partial multiple regression ANOVA table.   
Test the overall usefulness of the model at $\alpha$ = .05.Calculate the F statistic and make your decision.

Accepted Answer

F = 3.46,fail to rej

Question 9

Which is not an assumption of a multiple regression model?

Accepted Answer

A) Positive autocorrelation of error terms 
B) Normality of error terms 
C) Independence of error terms 
D) Constant variation of error terms 
A) Positive autocorrelation of error terms 
B) Normality of error terms 
C) Independence of error terms 
D) Constant variation of error terms

Question 10

The error term in the regression model describes the effects of all factors other than the independent variables on y (response variable).

Accepted Answer

A) True 
 B)False

Question 11

Consider the following partial computer output for a multiple regression model.   How many observations were taken?

Accepted Answer

A) 3 
B) 16 
C) 19 
D) 20 
E) 13 
A) 3 
B) 16 
C) 19 
D) 20 
E) 13

Question 12

Below is a partial multiple regression computer output.   Determine the number of observations in the sample,the number of independent variables in the model and the mean squared error.

Accepted Answer

The answer of Below is a partial multiple regression computer...

Question 13

Completely randomized analysis of variance models (one-way ANOVA)can always be converted to a multiple regression models with dummy independent variables.

Accepted Answer

A) True 
 B)False

Question 14

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

Accepted Answer

A) Normal curve 
B) Straight line 
C) Parabola 
D) Curved line 
A) Normal curve 
B) Straight line 
C) Parabola 
D) Curved line

Question 15

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

Question 16

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 17

The manufacturer of a light fixture believes that the dollars spent on advertising,the price of the fixture and the number of retail stores selling the fixture in a particular month,influence the light fixture sales.The manufacturer randomly selects 10 months and collects the following data:   The sales are in thousands of units per month,the advertising is given in hundreds of dollars per month,and the price is the unit retail price for the particular month.Using MINITAB the following computer output is obtained.
The regression equation is
Sales = 31.0 + 0.820 Advertising - 0.325 Price + 1.84 Stores   S = 5.465 R - Sq = 96.7% R - Sq(adj)= 95.0%
Analysis of Variance   Based on the multiple regression model given above,estimate the monthly light fixture sales and calculate the value of the residual,if the company spends $4000 on advertising,the price of the fixture is $60 and the fixture is being sold at 3 retail stores.

Accepted Answer

Estimated sales = 49

Question 18

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 experimental region,the smaller the distance value and the more precise the associated confidence and prediction intervals.

Accepted Answer

A) True 
 B)False

Question 19

Consider the following partial computer output for a multiple regression model.   What is the adjusted R2?

Accepted Answer

A) 31.308% 
B) 76.95% 
C) 87.72% 
D) 72.63% 
E) 23.1% 
A) 31.308% 
B) 76.95% 
C) 87.72% 
D) 72.63% 
E) 23.1%

Question 20

Below is a partially completed multiple regression analysis of variance (ANOVA)table.   Calculate R2.

Accepted Answer

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

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

For a given multiple regression model with three independent variables,the value of the adjusted multiple coefficient of determination is _________ less than R².

In a multiple regression model the residuals were plotted against the values of one of the independent variables.The plot exhibited a funneling out pattern of residuals.This means that as the value of the independent variable increases,the error terms tend to and the model assumption of is violated.

Plotting the residuals in a time-ordered sequence will reveal possible violations of the __________ of error terms assumption.

Which is not an assumption of a multiple regression model?

The error term in the regression model describes the effects of all factors other than the independent variables on y (response variable).

Consider the following partial computer output for a multiple regression model. How many observations were taken?

Below is a partial multiple regression computer output. Determine the number of observations in the sample,the number of independent variables in the model and the mean squared error.

Completely randomized analysis of variance models (one-way ANOVA)can always be converted to a multiple regression models with dummy independent variables.

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

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.

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

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 experimental region,the smaller the distance value and the more precise the associated confidence and prediction intervals.

Consider the following partial computer output for a multiple regression model. What is the adjusted R²?

Below is a partially completed multiple regression analysis of variance (ANOVA)table. Calculate R².

An Introduction to Business Statistics

Descriptive Statistics: Tabular and Graphical Methods

Descriptive Statistics: Numerical Methods

Probability

Discrete Random Variables

Continuous Random Variables

Sampling and 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

Model Building and Model Diagnostics

Time Series Forecasting

Process Improvement Using Control Charts

Nonparametric Methods

Decision Theory

Filters

Exam 14: Multiple Regression

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

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

For a given multiple regression model with three independent variables,the value of the adjusted multiple coefficient of determination is _________ less than R2.

Consider the following partial computer output for a multiple regression model. Analysis of Variance Test the overall usefulness of the model at α\alphaα = .01.Calculate F and make your decision.

Plotting the residuals in a time-ordered sequence will reveal possible violations of the __________ of error terms assumption.

Below is a partial multiple regression ANOVA table. Test the overall usefulness of the model at α\alphaα = .05.Calculate the F statistic and make your decision.

Which is not an assumption of a multiple regression model?

The error term in the regression model describes the effects of all factors other than the independent variables on y (response variable).

Consider the following partial computer output for a multiple regression model. How many observations were taken?

Below is a partial multiple regression computer output. Determine the number of observations in the sample,the number of independent variables in the model and the mean squared error.

Completely randomized analysis of variance models (one-way ANOVA)can always be converted to a multiple regression models with dummy independent variables.

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

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.

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

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 experimental region,the smaller the distance value and the more precise the associated confidence and prediction intervals.

Consider the following partial computer output for a multiple regression model. What is the adjusted R2?

Below is a partially completed multiple regression analysis of variance (ANOVA)table. Calculate R2.

An Introduction to Business Statistics

Descriptive Statistics: Tabular and Graphical Methods

Descriptive Statistics: Numerical Methods

Probability

Discrete Random Variables

Continuous Random Variables

Sampling and 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

Model Building and Model Diagnostics

Time Series Forecasting

Process Improvement Using Control Charts

Nonparametric Methods

Decision Theory

Filters

For a given multiple regression model with three independent variables,the value of the adjusted multiple coefficient of determination is _________ less than R².

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.

Consider the following partial computer output for a multiple regression model. What is the adjusted R²?

Below is a partially completed multiple regression analysis of variance (ANOVA)table. Calculate R².