Question 1

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

Accepted Answer

A) Is a straight line 
B) Has the shape of a symmetric bell shaped curve 
C) Is greatly curved 
D) Is left skewed 
E) Has the shape of a parabola that opens upward 
A) Is a straight line 
B) Has the shape of a symmetric bell shaped curve 
C) Is greatly curved 
D) Is left skewed 
E) Has the shape of a parabola that opens upward

Question 2

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 3

The assumption of independent error terms in regression analysis is often violated when using time series data.

Accepted Answer

A) True 
 B)False

Question 4

In a multiple regression model,a point estimate of  $\sigma$2 is called the ________________ error.

Accepted Answer

A) standard 
B) regression 
C) mean square 
D) multiple regression 
A) standard 
B) regression 
C) mean square 
D) multiple regression

Question 5

A multiple regression model with four independent variables consists of 29 observations.Multiple coefficient of determination,R2 = .80 and the standard error,s = 2.0.Complete the analysis of variance table for this model and test the overall model for significance.

Accepted Answer

F = 24,reject H₀.The

Question 6

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 7

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 8

The multiple correlation coefficient can assume any value between zero and 1,inclusive.

Accepted Answer

A) True 
 B)False

Question 9

Which one of the following tools is not used to check the normality of residuals assumption for a multiple regression model?

Accepted Answer

A) Histogram 
B) Stem-and-leaf display 
C) Scatter diagram 
D) Normal plot 
A) Histogram 
B) Stem-and-leaf display 
C) Scatter diagram 
D) Normal plot

Question 10

The management of a professional baseball team is in the process of determining the budget for next year.A major component of future revenue is attendance at the home games.In order to predict attendance at home games the team statistician has used a multiple regression model with dummy variables.The model is of the form: y = $\beta$0 + $\beta$1x1 + $\beta$2x2 + $\beta$3x3 + $\varepsilon$ where:
Y = attendance at a home game
x1 = current power rating of the team on a scale from 0 to 100 before the game.
x2 and x3 are dummy variables,and they are defined below.
x2 = 1,if weekend
x2= 0,otherwise
x3= 1,if weather is favorable
x3= 0,otherwise
After collecting the data based on 30 games from last year,and implementing the above stated multiple regression model,the team statistician obtained the following least squares multiple regression equation:   The multiple regression compute output also indicated the following:   Interpret the estimated model coefficient b1

Accepted Answer

For each additional rating point the bas

Question 11

When the F test is used to test the overall significance of a multiple regression model,if the null hypothesis is rejected,it can be concluded that all of the independent variables x1,x2,.....xk are significantly related to the dependent variable y.

Accepted Answer

A) True 
 B)False

Question 12

When using a multiple regression model,we assume that error terms (residuals)are distributed according to a(n)________________ distribution.

Accepted Answer

A) Binomial 
B) Normal 
C) Exponential 
D) Poisson 
A) Binomial 
B) Normal 
C) Exponential 
D) Poisson

Question 13

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 14

The management of a professional baseball team is in the process of determining the budget for next year.A major component of future revenue is attendance at the home games.In order to predict attendance at home games the team statistician has used a multiple regression model with dummy variables.The model is of the form: y = $\beta$0 + $\beta$1x1 + $\beta$2x2 + $\beta$3x3 + $\varepsilon$ where:
Y = attendance at a home game
x1 = current power rating of the team on a scale from 0 to 100 before the game.
x2 and x3 are dummy variables,and they are defined below.
x2 = 1,if weekend
x2= 0,otherwise
x3= 1,if weather is favorable
x3= 0,otherwise
After collecting the data based on 30 games from last year,and implementing the above stated multiple regression model,the team statistician obtained the following least squares multiple regression equation:   The multiple regression compute output also indicated the following:   Interpret the estimated model coefficient b2.

Accepted Answer

The estimated average attendance for wee

Question 15

The management of a professional baseball team is in the process of determining the budget for next year.A major component of future revenue is attendance at the home games.In order to predict attendance at home games the team statistician has used a multiple regression model with dummy variables.The model is of the form: y = $\beta$0 + $\beta$1x1 + $\beta$2x2 + $\beta$3x3 + $\varepsilon$ where:
Y = attendance at a home game
x1 = current power rating of the team on a scale from 0 to 100 before the game.
x2 and x3 are dummy variables,and they are defined below.
x2 = 1,if weekend
x2= 0,otherwise
x3= 1,if weather is favorable
x3= 0,otherwise
After collecting the data based on 30 games from last year,and implementing the above stated multiple regression model,the team statistician obtained the following least squares multiple regression equation:   The multiple regression compute output also indicated the following:   Assume that the overall model is useful in predicting the game attendance and the team statistician wants to know if the mean attendance is higher on the weekends as compared to the weekdays.State the appropriate null and alternative hypotheses.

Accepted Answer

H₀: @#LAT-DLM&

Question 16

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 total sum of squares?

Accepted Answer

2911.59
SS

Question 17

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

Question 18

Consider the following partial computer output for a multiple regression model.   What is the total sum of squares,explained variation,and mean square error?

Accepted Answer

40.686,31.308,.5861

Question 19

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     Write the least squares prediction equation.

Accepted Answer

ŷ = 35.178

Question 20

Below is a partial multiple regression ANOVA table.   Calculate R2.

Accepted Answer

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

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

The assumption of independent error terms in regression analysis is often violated when using time series data.

In a multiple regression model,a point estimate of $\sigma$ ² is called the ________________ error.

A multiple regression model with four independent variables consists of 29 observations.Multiple coefficient of determination,R² = .80 and the standard error,s = 2.0.Complete the analysis of variance table for this model and test the overall model for significance.

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,a desirable residual plot has what type of appearance?

The multiple correlation coefficient can assume any value between zero and 1,inclusive.

Which one of the following tools is not used to check the normality of residuals assumption for a multiple regression model?

When the F test is used to test the overall significance of a multiple regression model,if the null hypothesis is rejected,it can be concluded that all of the independent variables x₁,x₂,.....x_k are significantly related to the dependent variable y.

When using a multiple regression model,we assume that error terms (residuals)are distributed according to a(n)________________ distribution.

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.

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

Consider the following partial computer output for a multiple regression model. What is the total sum of squares,explained variation,and mean square error?

Below is a partial multiple regression 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

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

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

The assumption of independent error terms in regression analysis is often violated when using time series data.

In a multiple regression model,a point estimate of σ\sigmaσ 2 is called the ________________ error.

A multiple regression model with four independent variables consists of 29 observations.Multiple coefficient of determination,R2 = .80 and the standard error,s = 2.0.Complete the analysis of variance table for this model and test the overall model for significance.

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,a desirable residual plot has what type of appearance?

The multiple correlation coefficient can assume any value between zero and 1,inclusive.

Which one of the following tools is not used to check the normality of residuals assumption for a multiple regression model?

When the F test is used to test the overall significance of a multiple regression model,if the null hypothesis is rejected,it can be concluded that all of the independent variables x1,x2,.....xk are significantly related to the dependent variable y.

When using a multiple regression model,we assume that error terms (residuals)are distributed according to a(n)________________ distribution.

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.

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

Consider the following partial computer output for a multiple regression model. What is the total sum of squares,explained variation,and mean square error?

Below is a partial multiple regression 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

In a multiple regression model,a point estimate of $\sigma$ ² is called the ________________ error.

A multiple regression model with four independent variables consists of 29 observations.Multiple coefficient of determination,R² = .80 and the standard error,s = 2.0.Complete the analysis of variance table for this model and test the overall model for significance.

When the F test is used to test the overall significance of a multiple regression model,if the null hypothesis is rejected,it can be concluded that all of the independent variables x₁,x₂,.....x_k are significantly related to the dependent variable y.

Below is a partial multiple regression ANOVA table. Calculate R².