Question 1

What can we conclude if the net regression coefficients in the population are not significantly different from zero?

Accepted Answer

A)  Strong relationship exists among the variables 
B)  No relationship exists between the dependent variable and the independent variables 
C)  Independent variables are good predictors 
D)  Good forecasts are possible 
E)  None of these statements are correct 
A)  Strong relationship exists among the variables 
B)  No relationship exists between the dependent variable and the independent variables 
C)  Independent variables are good predictors 
D)  Good forecasts are possible 
E)  None of these statements are correct

Question 2

i. The coefficient of multiple determination reports the strength of the association between the dependent variable and the set of independent variables. 
ii. The multiple standard error of estimate for two independent variables measures the variation about a regression plane.
Iii) A multiple correlation determination equalling -0.76 is definitely possible.

Accepted Answer

A)  (i), (ii) and (iii) are all correct statements 
B)  (i) and (ii) are correct statements, but not (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (ii) and (iii) are correct statements but not (i). 
E)  All statements are false 
A)  (i), (ii) and (iii) are all correct statements 
B)  (i) and (ii) are correct statements, but not (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (ii) and (iii) are correct statements but not (i). 
E)  All statements are false

Question 3

In a regression analysis, three independent variables are used in the equation based on a sample of forty observations. What are the degrees of freedom associated with the F-statistic?

Accepted Answer

A)  3 and 39 
B)  4 and 40 
C)  3 and 36 
D)  2 and 39 
E)  None of these statements are correct 
A)  3 and 39 
B)  4 and 40 
C)  3 and 36 
D)  2 and 39 
E)  None of these statements are correct

Question 4

What is the estimated index of satisfaction for a person who first married at 25, has an annual income of $100,000, has two children, has assets of $500,000, has in index of health status of 141, and has 2 social activities per week?
A sample of General Mills employees was studied to determine their degree of satisfaction with their present life. A special index, called the index of satisfaction, was used to measure satisfaction. Six factors were studied: age at the time of first marriage (X1), annual income (X2), number of children living (X3), value of all assets (X4), status of health in the form of an index (X5), and the average number of social activities per week (X6). Suppose the multiple regression equation is:
Y' = 16.24 + 0.017X1 + 0.00028X2 + 42X3 + 0.0012X4 + 0.19X5 + 26.8X6

Accepted Answer

A)  777.7 
B)  796.6 
C)  588.6 
D)  601.6 
E)  769.8 
A)  777.7 
B)  796.6 
C)  588.6 
D)  601.6 
E)  769.8

Question 5

How is the Y intercept in the multiple regression equation represented?

Accepted Answer

A)  b1 
B)  x1 
C)  b2 
D)  x2 
E)  None of these statements are correct 
A)  b1 
B)  x1 
C)  b2 
D)  x2 
E)  None of these statements are correct

Question 6

i. Multiple regression analysis examines the relationship of several dependent variables on the independent variable.
Ii) A multiple regression equation defines the relationship between the dependent variable and the independent variables in the form of an equation.
Iii) Autocorrelation often happens when data has been collected over periods of time.

Accepted Answer

A)  (i), (ii) and (iii) are all correct statements. 
B)  (i) and (ii) are correct statements, but not (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (ii) and (iii) are correct statements but not (i). 
E)  All statements are false. 
A)  (i), (ii) and (iii) are all correct statements. 
B)  (i) and (ii) are correct statements, but not (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (ii) and (iii) are correct statements but not (i). 
E)  All statements are false.

Question 7

If the correlation between the two independent variables of a regression analysis is 0.11 and each independent variable is highly correlated to the dependent variable, what does this indicate?

Accepted Answer

A)  Multicollinearity between these two independent variables 
B)  Negative relationship is not possible 
C)  Only one of the two independent variables will explain a high percent of the variation 
D)  An effective regression equation 
E)  None of these statements are correct 
A)  Multicollinearity between these two independent variables 
B)  Negative relationship is not possible 
C)  Only one of the two independent variables will explain a high percent of the variation 
D)  An effective regression equation 
E)  None of these statements are correct

Question 8

i. A variable whose possible outcomes are coded as a "1" or a "0" is called a dummy variable. 
ii. If the null hypothesis ?4 = 0 is not rejected, then the independent variable X4 has no effect in predicting the dependent variable.
Iii) A dummy variable is added to the regression equation to control for error.

Accepted Answer

A)  (i), (ii) and (iii) are all correct statements 
B)  (i) and (ii) are correct statements, but not (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (ii) and (iii) are correct statements but not (i). 
E)  All statements are false 
A)  (i), (ii) and (iii) are all correct statements 
B)  (i) and (ii) are correct statements, but not (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (ii) and (iii) are correct statements but not (i). 
E)  All statements are false

Question 9

i. If an inverse relationship exists between the dependent variable and independent variables, the regression coefficients for the independent variables are positive.
Ii) Given a multiple linear equation Y' = 5.1 + 2.2X1 - 3.5X2, assuming other things are held constant, an increase of one unit in the second independent variable will cause a -3.5 unit change in Y.
Iii) When the variance of the differences between the actual and the predicted values of the dependent variable are approximately the same, the variables are said to exhibit homoscedasticity.

Accepted Answer

A)  (i), (ii) and (iii) are all correct statements 
B)  (i) and (ii) are correct statements, but not (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (ii) and (iii) are correct statements but not (i). 
E)  All statements are false 
A)  (i), (ii) and (iii) are all correct statements 
B)  (i) and (ii) are correct statements, but not (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (ii) and (iii) are correct statements but not (i). 
E)  All statements are false

Question 10

i. Multiple regression is used when two or more independent variables are used to predict a value of a single dependent variable.
Ii) The values of b1, b2 and b3 in a multiple regression equation are called the net regression coefficients. They indicate the change in the predicted value for a unit change in one X when the other X variables are held constant.
Iii) Autocorrelation often happens when data has been collected over periods of time.

Accepted Answer

A)  (i), (ii) and (iii) are all correct statements 
B)  (i) and (ii) are correct statements, but not (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (ii) and (iii) are correct statements but not (i). 
E)  All statements are false 
A)  (i), (ii) and (iii) are all correct statements 
B)  (i) and (ii) are correct statements, but not (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (ii) and (iii) are correct statements but not (i). 
E)  All statements are false

Question 11

It has been hypothesized that overall academic success for freshmen at college as measured by grade point average (GPA) is a function of IQ scores (X1), hours spent studying each week (X2), and one's high school average (X3). Suppose the regression equation is:

Y' = -6.9 + 0.055X1 + 0.107X2 + 0.0083X3.
The multiple standard error is 6.313 and RS1U1P12S1S1P0 = 0.826.

-How many dependent variables are in the regression equation?____________

Accepted Answer

The answer of It has been hypothesized that overall academic...

Question 12

i. If the null hypothesis β4 = 0 is not rejected, then the independent variable X4 has a strong effect in predicting the dependent variable ii. A dummy variable is added to the regression equation to control for error.
Iii) A variable whose possible outcomes are coded as a "1" or a "0" is called a strong independent variable.

Accepted Answer

A)  (i), (ii) and (iii) are all correct statements 
B)  (i) and (ii) are correct statements, but not (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (ii) and (iii) are correct statements but not (i). 
E)  All statements are false 
A)  (i), (ii) and (iii) are all correct statements 
B)  (i) and (ii) are correct statements, but not (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (ii) and (iii) are correct statements but not (i). 
E)  All statements are false

Question 13

Angela Chou has been asked to investigate the determinants of poverty in Ontario communities. She collected data on 60 communities from Statistics Canada. She selected the percentage of poor persons
Living under the poverty line [Poor (%)], measured by Low Income Cut-Off, and designed by Statistics
Canada as a measure of poverty for a community, as the dependent variable. The independent variables selected are percent of single families in each community, the unemployment rate in each community, percent of population in the community holding a bachelor's degree as their highest level of education attained, and percent of population holding a High School Diploma as their highest level of education attained. Using the output below, determine which variable Angela should consider deleting.

Accepted Answer

A)  It doesn't matter which she uses, the results are virtually the same in any case. 
B)  Angela should delete the high school information, because the P-value is over 0.05. 
C)  Angela should delete the bachelor's degree information, because the P-value is close to 0.05 
D)  Angela should delete the unemployment rate information because the P-value is 0.00 
E)  Angela should exclude the single-family and unemployment information because the P-value values are 0. 
A)  It doesn't matter which she uses, the results are virtually the same in any case. 
B)  Angela should delete the high school information, because the P-value is over 0.05. 
C)  Angela should delete the bachelor's degree information, because the P-value is close to 0.05 
D)  Angela should delete the unemployment rate information because the P-value is 0.00 
E)  Angela should exclude the single-family and unemployment information because the P-value values are 0.

Question 14

What is the range of values for multiple R?

Accepted Answer

A)  -100% to -100% inclusive 
B)  -100% to 0% inclusive 
C)  0% to +100% inclusive 
D)  Unlimited range 
E)  None of these statements are correct 
A)  -100% to -100% inclusive 
B)  -100% to 0% inclusive 
C)  0% to +100% inclusive 
D)  Unlimited range 
E)  None of these statements are correct

Question 15

How is the degree of association between the set of independent variables and the dependent variable is measured?

Accepted Answer

A)  Confidence intervals. 
B)  Autocorrelation 
C)  Coefficient of multiple determination 
D)  Standard error of estimate 
E)  None of these statements are correct 
A)  Confidence intervals. 
B)  Autocorrelation 
C)  Coefficient of multiple determination 
D)  Standard error of estimate 
E)  None of these statements are correct

Question 16

The information above is from the multiple regression analysis computer output for 28 teams in Major League Baseball. The model is designed to predict wins using attendance, payroll, batting average, home runs, stolen bases, errors, and team ERA. The t-value computed for testing the coefficient "Batg. Avg." is:

Accepted Answer

A)  112.991 
B)  2.086 
C)  7.438 
D)  2.832 
E)  -1.593 
A)  112.991 
B)  2.086 
C)  7.438 
D)  2.832 
E)  -1.593

Question 17

If there are four independent variables in a multiple regression equation, there are also four

Accepted Answer

A)  Y-intercepts. 
B)  regression coefficients. 
C)  dependent variables. 
D)  constant terms. 
E)  None of these statements are correct. 
A)  Y-intercepts. 
B)  regression coefficients. 
C)  dependent variables. 
D)  constant terms. 
E)  None of these statements are correct.

Question 18

i. 90% of total variation in the dependent variable is explained by the independent variable for a multiple R2= 0.90. 
ii. The multiple standard error of estimate measures the variation about the regression plane when two independent variables are considered.
Iii) The multiple coefficient of determination, R2, reports the proportion of the variation in Y that is not
Explained by the variation in the set of independent variables.

Accepted Answer

A)  (i), (ii) and (iii) are all correct statements 
B)  (i) and (ii) are correct statements, but not (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (ii) and (iii) are correct statements but not (i). 
E)  All statements are false 
A)  (i), (ii) and (iii) are all correct statements 
B)  (i) and (ii) are correct statements, but not (iii). 
C)  (i) and (iii) are correct statements but not (ii). 
D)  (ii) and (iii) are correct statements but not (i). 
E)  All statements are false

Question 19

A real estate agent developed a model to relate a house's selling price (Y) to the area of floor space (X) and the area of floor space squared (X2). The multiple regression equation for this model is:
Y = 125 - 3X + X2
where: Y = selling price (times $1,000)
X = square feet of floor space (times 100)

-What is the selling price of a house with 1,000 square feet?____________

Accepted Answer

The answer of A real estate agent developed a model...

Question 20

The following correlations were computed as part of a multiple regression analysis that used education, job, and age to predict income.  
 What is this table called?

Accepted Answer

A)  Net regression coefficients 
B)  Coefficients of nondetermination 
C)  Analysis of variance 
D)  Correlation matrix 
E)  None of these statements are correct 
A)  Net regression coefficients 
B)  Coefficients of nondetermination 
C)  Analysis of variance 
D)  Correlation matrix 
E)  None of these statements are correct

What can we conclude if the net regression coefficients in the population are not significantly different from zero?

In a regression analysis, three independent variables are used in the equation based on a sample of forty observations. What are the degrees of freedom associated with the F-statistic?

How is the Y intercept in the multiple regression equation represented?

If the correlation between the two independent variables of a regression analysis is 0.11 and each independent variable is highly correlated to the dependent variable, what does this indicate?

What is the range of values for multiple R?

How is the degree of association between the set of independent variables and the dependent variable is measured?

If there are four independent variables in a multiple regression equation, there are also four

The following correlations were computed as part of a multiple regression analysis that used education, job, and age to predict income. What is this table called?

What Is Statistics

Describing Data: Frequency Distributions and Graphic Presentation

Describing Data: Numerical Measures

A Survey of Probability Concepts

Discrete Probability Distributions

The Normal Probability Distribution

Sampling Methods and the Central Limit Theorem

Estimation and Confidence Intervals

One-Sample Tests of a Hypothesis

Two-Sample Tests of Hypothesis

Analysis of Variance

Linear Regression and Correlation

Chi-Square Applications for Nominal Data

Index Numbers

Time Series and Forecasting

An Introduction to Decision Theory

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Exam 13: Multiple Regression and Correlation Analysis

What can we conclude if the net regression coefficients in the population are not significantly different from zero?

In a regression analysis, three independent variables are used in the equation based on a sample of forty observations. What are the degrees of freedom associated with the F-statistic?

How is the Y intercept in the multiple regression equation represented?

If the correlation between the two independent variables of a regression analysis is 0.11 and each independent variable is highly correlated to the dependent variable, what does this indicate?

What is the range of values for multiple R?

How is the degree of association between the set of independent variables and the dependent variable is measured?

If there are four independent variables in a multiple regression equation, there are also four

The following correlations were computed as part of a multiple regression analysis that used education, job, and age to predict income. What is this table called?

What Is Statistics

Describing Data: Frequency Distributions and Graphic Presentation

Describing Data: Numerical Measures

A Survey of Probability Concepts

Discrete Probability Distributions

The Normal Probability Distribution

Sampling Methods and the Central Limit Theorem

Estimation and Confidence Intervals

One-Sample Tests of a Hypothesis

Two-Sample Tests of Hypothesis

Analysis of Variance

Linear Regression and Correlation

Chi-Square Applications for Nominal Data

Index Numbers

Time Series and Forecasting

An Introduction to Decision Theory

Filters