Question 1

Which of the following situations is best addressed by regression?

Accepted Answer

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

Question 2

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

Accepted Answer

A) True 
 B)False

Question 3

Stepwise procedures result in regression equations that are optimal,in the sense of producing the largest R2,for a given number of predictors.

Accepted Answer

A) True 
 B)False

Question 4

R2 cannot decrease as more independent variables are added to the regression equation.

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)  Ў= a + b1X1 + b2X2 
B)  Ўi =β0 + β1 Xi + ei 
C)  Ў= β0 + β1 Xi 
D)  Ўi = a + bxi 
A)  Ў= a + b1X1 + b2X2 
B)  Ўi =β0 + β1 Xi + ei 
C)  Ў= β0 + β1 Xi 
D)  Ўi = a + bxi

Question 6

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 7

When fitting a straight line to a scattergram,the best-fitting line is called the regression line.

Accepted Answer

A) True 
 B)False

Question 8

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

Accepted Answer

A)  Ўi = a + b1 D1 + b2 D2 + b3D3 
B)  Ў= b1 D1 + b2 D2 + b3D3 
C)  Ў= b1 D1 + b2 D2 + b3D3 + b4D4 
D)  Ўi = a + b1 D1 + b2 D2 + b3D3 + b4D4 
A)  Ўi = a + b1 D1 + b2 D2 + b3D3 
B)  Ў= b1 D1 + b2 D2 + b3D3 
C)  Ў= b1 D1 + b2 D2 + b3D3 + b4D4 
D)  Ўi = a + b1 D1 + b2 D2 + b3D3 + b4D4

Question 9

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

Accepted Answer

A) True 
 B)False

Question 10

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

Accepted Answer

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

Question 11

If a variable explains a significant proportion of the residual variation,it should be considered for inclusion in the regression equation.

Accepted Answer

A) True 
 B)False

Question 12

The partial correlation coefficient is a measure of the correlation between Y and X when the linear effects of the other independent variables have been removed from X but not from Y.

Accepted Answer

A) True 
 B)False

Question 13

________ is best to use to determine how strongly sales are related to advertising expenditures.

Accepted Answer

A)  Partial correlation coefficient 
B)  Product moment correlation (r) 
C)  Multiple regression analysis 
D)  ANOVA 
A)  Partial correlation coefficient 
B)  Product moment correlation (r) 
C)  Multiple regression analysis 
D)  ANOVA

Question 14

The equation for r involves dividing the ________ by ________.

Accepted Answer

A)  product of the variances of X and Y (Sx2Sy2);COVxy 
B)  product of the standard deviation of X and Y (SxSy);COVxy 
C)  COVxy;the product of the variance of X and Y (Sx2Sy2) 
D)  COVxy;the product of the standard deviation of X and Y (SxSy) 
A)  product of the variances of X and Y (Sx2Sy2);COVxy 
B)  product of the standard deviation of X and Y (SxSy);COVxy 
C)  COVxy;the product of the variance of X and Y (Sx2Sy2) 
D)  COVxy;the product of the standard deviation of X and Y (SxSy)

Question 15

Which statement is not true about partial regression coefficients?

Accepted Answer

A)  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. 
B)  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). 
C)  Partial regression coefficients have an order associated with them. 
D)  Both A and B are not true. 
A)  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. 
B)  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). 
C)  Partial regression coefficients have an order associated with them. 
D)  Both A and B are not true.

Question 16

When determining the correlation coefficient,r,it does matter which variable is considered to be the dependent variable and which is the independent.

Accepted Answer

A) True 
 B)False

Question 17

A technique for fitting a straight line to a scattergram by minimizing the square of the vertical distances of all the points from the line is known as the ________.

Accepted Answer

A)  sum of square errors procedure 
B)  least-square procedure 
C)  maximum residual procedure 
D)  scatter diagram plot 
A)  sum of square errors procedure 
B)  least-square procedure 
C)  maximum residual procedure 
D)  scatter diagram plot

Question 18

When determining the statistical significance of the relationship between two variables measured by using r,the hypotheses to be tested are H0: ρ = 0 and H1:ρ ≠ 0

Accepted Answer

A) True 
 B)False

Question 19

In bivariate regression,the null hypothesis is that no linear relationship exists between X and Y,or H0: β1 = 0.

Accepted Answer

A) True 
 B)False

Question 20

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

Accepted Answer

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

Exam 17: Correlation and Regression

Which of the following situations is best addressed by regression?

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

Stepwise procedures result in regression equations that are optimal,in the sense of producing the largest R2,for a given number of predictors.

R2 cannot decrease as more independent variables are added to the regression equation.

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

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.

When fitting a straight line to a scattergram,the best-fitting line is called the regression line.

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

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

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

If a variable explains a significant proportion of the residual variation,it should be considered for inclusion in the regression equation.

The partial correlation coefficient is a measure of the correlation between Y and X when the linear effects of the other independent variables have been removed from X but not from Y.

________ is best to use to determine how strongly sales are related to advertising expenditures.

The equation for r involves dividing the ________ by ________.

Which statement is not true about partial regression coefficients?

When determining the correlation coefficient,r,it does matter which variable is considered to be the dependent variable and which is the independent.

A technique for fitting a straight line to a scattergram by minimizing the square of the vertical distances of all the points from the line is known as the ________.

When determining the statistical significance of the relationship between two variables measured by using r,the hypotheses to be tested are H0: ρ = 0 and H1:ρ ≠ 0

In bivariate regression,the null hypothesis is that no linear relationship exists between X and Y,or H0: β1 = 0.

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

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

Casual Research Design: Experimentation

Measurement and Scaling: Fundamentals and Comparative Scaling

Measurement and Scaling: Non Comparative 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

Stepwise procedures result in regression equations that are optimal,in the sense of producing the largest R²,for a given number of predictors.

R² cannot decrease as more independent variables are added to the regression equation.

The equation for r involves dividing the by .

When determining the statistical significance of the relationship between two variables measured by using r,the hypotheses to be tested are H₀: ρ = 0 and H₁:ρ ≠ 0

In bivariate regression,the null hypothesis is that no linear relationship exists between X and Y,or H₀: β₁ = 0.