Question 1

The standard deviation of b,or the standard error,is denoted as ________.

Accepted Answer

A) SEb 
B) SDb 
C) SSYb 
D) none of the above 
A) SEb 
B) SDb 
C) SSYb 
D) none of the above

Question 2

The correlation coefficient between two variables varies depending on their underlying units of measurement.

Accepted Answer

A) True 
 B)False

Question 3

Multicollinearity arises when intercorrelations among the predictors are very low.

Accepted Answer

A) True 
 B)False

Question 4

When there are a large number of independent variables and the researcher suspects that not all of them are significant,stepwise regression should be used.

Accepted Answer

A) True 
 B)False

Question 5

What is the bivariate regression equation if sample observations are used to predict Y?

Accepted Answer

A) Ŷ = a + b1X1 + b2X2 
B) Ŷ = β0 + β1 Xi 
C) Ŷ i =β0 + β1 Xi + ei 
D) Ŷ i = a + bxi 
A) Ŷ = a + b1X1 + b2X2 
B) Ŷ = β0 + β1 Xi 
C) Ŷ i =β0 + β1 Xi + ei 
D) Ŷ i = a + bxi

Question 6

In multiple regression,if the overall null hypothesis is rejected,________.

Accepted Answer

A) the mean value of the dependent variable will be different for different categories of the independent variable 
B) the means of the independent variables are not equal 
C) there is an association between the independent variables 
D) one or more population partial regression coefficients have a value different from 0 
A) the mean value of the dependent variable will be different for different categories of the independent variable 
B) the means of the independent variables are not equal 
C) there is an association between the independent variables 
D) one or more population partial regression coefficients have a value different from 0

Question 7

In bivariate regression,which statement is true concerning the coefficient of determination,r2?

Accepted Answer

A) r2 is the square of the simple correlation coefficient obtained by correlating the two variables. 
B) r2 varies between 0 and 1. 
C) r2 signifies the proportion of the total variation in Y accounted for by the variation in X. 
D) All are correct. 
A) r2 is the square of the simple correlation coefficient obtained by correlating the two variables. 
B) r2 varies between 0 and 1. 
C) r2 signifies the proportion of the total variation in Y accounted for by the variation in X. 
D) All are correct.

Question 8

The term beta coefficient or beta weight is used to denote the standardized regression coefficient.

Accepted Answer

A) True 
 B)False

Question 9

Which statement is not true about the constant b in the bivariate regression equation Ŷ i = a + bXi?

Accepted Answer

A) It is usually referred to as the non-standardized regression coefficient. 
B) It is the slope of the regression line and it indicates the expected change in Y when X is changed by one unit. 
C) It is the intercept of the regression line and it indicates the value of Y when X is zero. 
D) It may be computed as b=COVxy/Sx2. 
A) It is usually referred to as the non-standardized regression coefficient. 
B) It is the slope of the regression line and it indicates the expected change in Y when X is changed by one unit. 
C) It is the intercept of the regression line and it indicates the value of Y when X is zero. 
D) It may be computed as b=COVxy/Sx2.

Question 10

Regression analysis models helped Avon realize that employee benefits and the appointment fee that representatives pay for materials were significant variables affecting the decline in their sales staff.

Accepted Answer

A) True 
 B)False

Question 11

The question of "How strongly are sales related to advertising expenditures when the effect of price is controlled?" is best answered via ________.

Accepted Answer

A) bivariate regression analysis 
B) partial correlation coefficient 
C) ANOVA 
D) product moment correlation 
A) bivariate regression analysis 
B) partial correlation coefficient 
C) ANOVA 
D) product moment correlation

Question 12

In multiple regression,if the overall null hypothesis is rejected,we know which specific coefficients (βis)are nonzero.

Accepted Answer

A) True 
 B)False

Question 13

The multiple correlation coefficient,R,can also be viewed as the simple correlation coefficient,r,between Y and Ŷ.

Accepted Answer

A) True 
 B)False

Question 14

Which statement is true about cross-validation.

Accepted Answer

A) It can be used for evaluating the model for chance variations in the data and other problems associated with regression. 
B) It examines whether the regression model continues to hold on comparable data not used in the estimation. 
C) A special form of validation is called double cross-validation where the sample is split into halves. 
D) All of the above statements are true. 
A) It can be used for evaluating the model for chance variations in the data and other problems associated with regression. 
B) It examines whether the regression model continues to hold on comparable data not used in the estimation. 
C) A special form of validation is called double cross-validation where the sample is split into halves. 
D) All of the above statements are true.

Question 15

________ is a statistical procedure for analyzing associative relationships between a metric dependent variable and one or more independent variables.

Accepted Answer

A) Regression analysis 
B) Partial correlation coefficient 
C) ANOVA 
D) Product moment correlation 
A) Regression analysis 
B) Partial correlation coefficient 
C) ANOVA 
D) Product moment correlation

Question 16

A partial correlation coefficient measures the association between two variables after controlling for or adjusting for the effects of one or more additional variables.

Accepted Answer

A) True 
 B)False

Question 17

Which statement is not true about partial regression coefficients?

Accepted Answer

A) The combined effects of X1 and X2 on Y are additive.In other words,if X1 and X2 are each changed by one unit,the expected change in Y would be (b1 + b2). 
B) The beta coefficients are the partial regression coefficients obtained when all the variables (Y,X1,X2...Xk) have been standardized to a mean of 0 and a variance of 1 before estimating the regression equation. 
C) Partial regression coefficients have an order associated with them. 
D) Both A and B are not true. 
A) The combined effects of X1 and X2 on Y are additive.In other words,if X1 and X2 are each changed by one unit,the expected change in Y would be (b1 + b2). 
B) The beta coefficients are the partial regression coefficients obtained when all the variables (Y,X1,X2...Xk) have been standardized to a mean of 0 and a variance of 1 before estimating the regression equation. 
C) Partial regression coefficients have an order associated with them. 
D) Both A and B are not true.

Question 18

r2 measures ________.

Accepted Answer

A) the proportion of variation in one variable that is explained by the other 
B) the proportion of error variation 
C) the proportion of variation in Y related to the variation of the categories of X 
D) the proportion of variation in Y due to the variation within each of the categories of X 
A) the proportion of variation in one variable that is explained by the other 
B) the proportion of error variation 
C) the proportion of variation in Y related to the variation of the categories of X 
D) the proportion of variation in Y due to the variation within each of the categories of X

Question 19

Which statement is not correct about the partial correlation coefficient?

Accepted Answer

A) Partial correlations can be helpful for detecting spurious relationships. 
B) The partial correlation coefficient is generally viewed as more important than the part correlation coefficient. 
C) The partial correlation coefficient represents the correlation between Y and X when the linear effects of the other independent variables have been removed from X but not from Y. 
D) The partial correlation coefficient can be calculated by a knowledge of the simple correlations alone. 
A) Partial correlations can be helpful for detecting spurious relationships. 
B) The partial correlation coefficient is generally viewed as more important than the part correlation coefficient. 
C) The partial correlation coefficient represents the correlation between Y and X when the linear effects of the other independent variables have been removed from X but not from Y. 
D) The partial correlation coefficient can be calculated by a knowledge of the simple correlations alone.

Question 20

The hypotheses for the test for significance of the coefficient of determination are: H0: R2pop  = 0 ;H1: R2pop  > 0.

Accepted Answer

A) True 
 B)False

Exam 17: Correlation and Regression

The standard deviation of b,or the standard error,is denoted as ________.

The correlation coefficient between two variables varies depending on their underlying units of measurement.

Multicollinearity arises when intercorrelations among the predictors are very low.

When there are a large number of independent variables and the researcher suspects that not all of them are significant,stepwise regression should be used.

What is the bivariate regression equation if sample observations are used to predict Y?

In multiple regression,if the overall null hypothesis is rejected,________.

In bivariate regression,which statement is true concerning the coefficient of determination,r2?

The term beta coefficient or beta weight is used to denote the standardized regression coefficient.

Which statement is not true about the constant b in the bivariate regression equation Ŷ i = a + bXi?

Regression analysis models helped Avon realize that employee benefits and the appointment fee that representatives pay for materials were significant variables affecting the decline in their sales staff.

The question of "How strongly are sales related to advertising expenditures when the effect of price is controlled?" is best answered via ________.

In multiple regression,if the overall null hypothesis is rejected,we know which specific coefficients (βis)are nonzero.

The multiple correlation coefficient,R,can also be viewed as the simple correlation coefficient,r,between Y and Ŷ.

Which statement is true about cross-validation.

________ is a statistical procedure for analyzing associative relationships between a metric dependent variable and one or more independent variables.

A partial correlation coefficient measures the association between two variables after controlling for or adjusting for the effects of one or more additional variables.

Which statement is not true about partial regression coefficients?

r2 measures ________.

Which statement is not correct about the partial correlation coefficient?

The hypotheses for the test for significance of the coefficient of determination are: H0: R2pop = 0 ;H1: R2pop > 0.

Introduction to Marketing Research

Defining the Marketing Research Problem and Developing an Approach

Research Design

Exploratory Research Design: Secondary Data

Exploratory Research Design: Qualitative Research

Descriptive Research Design: Survey and Observation

Causal Research Design: Experimentation

Measurement and Scaling: Fundamentals and Comparative Scaling

Measurement and Scaling: Noncomparative Scaling Techniques

Questionnaire and Form Design

Sampling: Design and Procedures

Sampling: Final and Initial Sample Size Determination

Fieldwork

Data Preparation

Frequency Distribution,cross-Tabulation,and Hypothesis Testing

Analysis of Variance and Covariance

Discriminant and Logit Analysis

Factor Analysis

Cluster Analysis

Multidimensional Scaling and Conjoint Analysis

Structural Equation Modeling and Path Analysis

Report Preparation and Presentation

Filters

In bivariate regression,which statement is true concerning the coefficient of determination,r²?

Which statement is not true about the constant b in the bivariate regression equation Ŷ_i= a + bX_i?

In multiple regression,if the overall null hypothesis is rejected,we know which specific coefficients (β_is)are nonzero.

r²measures ________.

The hypotheses for the test for significance of the coefficient of determination are: H₀: R²_pop= 0 ;H₁: R²_pop> 0.