Question 1

Standardized variables have a mean of 1 and a variance of zero.

Accepted Answer

A) True 
 B)False  False

Question 2

To estimate the accuracy of predicted values, Ŷ, found in bivariate regression, it is useful to calculate the ________, the standard deviation of the actual Y values for the predicted Ŷ values.

Accepted Answer

A) coefficient of determination 
B) standard error of the estimate 
C) covariance 
D) standard error 
A) coefficient of determination 
B) standard error of the estimate 
C) covariance 
D) standard error B

Question 3

Which equation depicts the relationship between the standardized and non-standardized regression coefficients?

Accepted Answer

A) Byx = byx(S2x/S2y) 
B) B2yx = byx(Sx/Sy) 
C) Byx = byx(Sx/Sy) 
D) B2yx =  byx(S2x/S2y) 
A) Byx = byx(S2x/S2y) 
B) B2yx = byx(Sx/Sy) 
C) Byx = byx(Sx/Sy) 
D) B2yx =  byx(S2x/S2y) C

Question 4

If an examination of the residuals indicates that the assumptions underlying linear regression are not met, the researcher can transform the variables in an attempt to satisfy the assumptions.

Accepted Answer

A) True 
 B)False

Question 5

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 6

Which of the following situations is best addressed by regression?

Accepted Answer

A) Is there an association between market share and the size of the sales force? 
B) Is there an association between market share and size of the sales force after adjusting for the effect of sales promotion? 
C) Determine how much of the variation in the dependent variable (store sales)can be explained by the independent variables (price and level of advertisement). 
D) Are consumers' perceptions of quality related to their perceptions of prices when the effect of brand image is controlled? 
A) Is there an association between market share and the size of the sales force? 
B) Is there an association between market share and size of the sales force after adjusting for the effect of sales promotion? 
C) Determine how much of the variation in the dependent variable (store sales)can be explained by the independent variables (price and level of advertisement). 
D) Are consumers' perceptions of quality related to their perceptions of prices when the effect of brand image is controlled?

Question 7

Which of the following is a measure of nonmetric correlation?

Accepted Answer

A) Pearson product moment correlation 
B) Spearman's rho 
C) Kendall's tau 
D) both B and C 
A) Pearson product moment correlation 
B) Spearman's rho 
C) Kendall's tau 
D) both B and C

Question 8

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 9

Both r and r2 are symmetric measures of association.In other words, the correlation of X and Y is the same as the correlation of Y and X.

Accepted Answer

A) True 
 B)False

Question 10

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 11

Regression in which a single independent variable has been recoded into dummy variables is equivalent to one-way analysis of variance.

Accepted Answer

A) True 
 B)False

Question 12

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 13

The ________ is a statistic summarizing the strength of association between two metric variables.

Accepted Answer

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

Question 14

________ is a procedure for deriving a mathematical relationship, in the form of an equation, between a single metric dependent variable and a single metric independent variable.

Accepted Answer

A) Chi-square 
B) Part correlation 
C) Multiple regression 
D) Bivariate regression 
A) Chi-square 
B) Part correlation 
C) Multiple regression 
D) Bivariate regression

Question 15

In multiple regression, if the overall null hypothesis is rejected, which statement is true?

Accepted Answer

A) We know which specific βs are nonzero. 
B) We can use t = b/SEb to determine which βs are nonzero. 
C) We do not know which βs are nonzero. 
D) Both B and C are correct. 
A) We know which specific βs are nonzero. 
B) We can use t = b/SEb to determine which βs are nonzero. 
C) We do not know which βs are nonzero. 
D) Both B and C are correct.

Question 16

The general form of the multiple regression model is estimated by which equation?

Accepted Answer

A) Ŷ i = a + bXi  
B) Ŷ i =β0 + β1 Xi + ei  
C) Ŷ =a + b1 X1 + b2 X2 + b3X3 + ...+ bkXk  
D) Ŷ = a + b1X1 + b2X2  
A) Ŷ i = a + bXi  
B) Ŷ i =β0 + β1 Xi + ei  
C) Ŷ =a + b1 X1 + b2 X2 + b3X3 + ...+ bkXk  
D) Ŷ = a + b1X1 + b2X2

Question 17

The regression equation for a categorical variable with four categories would be modeled as ________.

Accepted Answer

A) Ŷ i = a + b1 D1 + b2 D2 + b3D3  
B) Ŷ i = a + b1 D1 + b2 D2 + b3D3 + b4D4  
C) Ŷ = b1 D1 + b2 D2 + b3D3  
D) Ŷ = b1 D1 + b2 D2 + b3D3 + b4D4  
A) Ŷ i = a + b1 D1 + b2 D2 + b3D3  
B) Ŷ i = a + b1 D1 + b2 D2 + b3D3 + b4D4  
C) Ŷ = b1 D1 + b2 D2 + b3D3  
D) Ŷ = b1 D1 + b2 D2 + b3D3 + b4D4

Question 18

ry(x.z) represents the ________.

Accepted Answer

A) partial correlation 
B) Pearson correlation 
C) part correlation 
D) partition correlation 
A) partial correlation 
B) Pearson correlation 
C) part correlation 
D) partition correlation

Question 19

Which statistic is associated only with multiple regression and not with bivariate regression?

Accepted Answer

A) adjusted R2  
B) partial F test 
C) estimated or predicted value (Ŷ) 
D) both A and B 
A) adjusted R2  
B) partial F test 
C) estimated or predicted value (Ŷ) 
D) both A and B

Question 20

Which statement is not true about correlation matrices?

Accepted Answer

A) Usually only the lower portion of the matrix is considered. 
B) The diagonal elements all equal 0. 
C) A correlation matrix indicates the coefficient of correlation between each pair of variables. 
D) The upper triangular portion of the matrix is a mirror image of the lower triangular portion. 
A) Usually only the lower portion of the matrix is considered. 
B) The diagonal elements all equal 0. 
C) A correlation matrix indicates the coefficient of correlation between each pair of variables. 
D) The upper triangular portion of the matrix is a mirror image of the lower triangular portion.

Exam 17: Correlation and Regression

Standardized variables have a mean of 1 and a variance of zero.

To estimate the accuracy of predicted values, Ŷ, found in bivariate regression, it is useful to calculate the ________, the standard deviation of the actual Y values for the predicted Ŷ values.

Which equation depicts the relationship between the standardized and non-standardized regression coefficients?

If an examination of the residuals indicates that the assumptions underlying linear regression are not met, the researcher can transform the variables in an attempt to satisfy the assumptions.

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

Which of the following situations is best addressed by regression?

Which of the following is a measure of nonmetric correlation?

r2 measures ________.

Both r and r2 are symmetric measures of association.In other words, the correlation of X and Y is the same as the correlation of Y and X.

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

Regression in which a single independent variable has been recoded into dummy variables is equivalent to one-way analysis of variance.

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 ________ is a statistic summarizing the strength of association between two metric variables.

________ is a procedure for deriving a mathematical relationship, in the form of an equation, between a single metric dependent variable and a single metric independent variable.

In multiple regression, if the overall null hypothesis is rejected, which statement is true?

The general form of the multiple regression model is estimated by which equation?

The regression equation for a categorical variable with four categories would be modeled as ________.

ry(x.z) represents the ________.

Which statistic is associated only with multiple regression and not with bivariate regression?

Which statement is not true about correlation matrices?

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

International Marketing Research

Filters

r²measures ________.

Both r and r² are symmetric measures of association.In other words, the correlation of X and Y is the same as the correlation of Y and X.

r_y(x.z) represents the ________.