Question 1

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

Accepted Answer

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

Question 2

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 3

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

Accepted Answer

A) True 
 B)False

Question 4

Suppose a researcher wants to explain attitudes towards a respondent's city of residence in terms of duration of residence in the city.The attitude is measured on an 11-point scale and the duration of residence is measured in terms of the number of years the respondent has lived in the city.In a pretest of 12 respondents,the calculated t value for the correlation coefficient based on the data given is 8.414.The critical value of t for a two-tailed test and α = 0.05 is 2.228.r = .9361.What is the null hypothesis for this scenario? What do the results mean in terms of the null hypothesis and the correlation coefficient,r?

Accepted Answer

The null hypothesis of no relationship b

Question 5

ry(x.z)represents the ________.

Accepted Answer

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

Question 6

Regression analysis is concerned with the nature and degree of association between variables and does not imply or assume any causality.

Accepted Answer

A) True 
 B)False

Question 7

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

Question 8

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

Accepted Answer

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

Question 9

Multicollinearity arises when intercorrelations among the predictors are very low.

Accepted Answer

A) True 
 B)False

Question 10

The general form of the multiple regression model is: Y = β0 + β1 X1 + β2 X2 + β3X3 + ....+ βkXk + e

Accepted Answer

A) True 
 B)False

Question 11

Which statement is true about cross-validation.

Accepted Answer

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

Question 12

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 13

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

Accepted Answer

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

Question 14

The product moment correlation,r2,is an index used to determine whether a linear,or straight-line,relationship exists between X and Y.It indicates the degree to which the variation in one variable,X,is related to the variation in another variable,Y.

Accepted Answer

A) True 
 B)False

Question 15

The vertical distance from a point to the regression line is the squared error,e2.

Accepted Answer

A) True 
 B)False

Question 16

r2 measures ________.

Accepted Answer

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

Question 17

In regression with dummy variables,the predicted for each category is the mean of Y for each category.

Accepted Answer

A) True 
 B)False

Question 18

The partial correlation coefficient is generally viewed as more important than the part correlation coefficient.

Accepted Answer

A) True 
 B)False

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 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. 
C)  The partial correlation coefficient is generally viewed as more important than the part correlation coefficient. 
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 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. 
C)  The partial correlation coefficient is generally viewed as more important than the part correlation coefficient. 
D)  The partial correlation coefficient can be calculated by a knowledge of the simple correlations alone.

Question 20

The standard error of estimate,SEE,may be interpreted as a kind of average residual or average error in predicting Y from the regression equation.

Accepted Answer

A) True 
 B)False

Exam 17: Correlation and Regression

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

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

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

ry(x.z)represents the ________.

Regression analysis is concerned with the nature and degree of association between variables and does not imply or assume any causality.

________ 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.

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

Multicollinearity arises when intercorrelations among the predictors are very low.

The general form of the multiple regression model is: Y = β0 + β1 X1 + β2 X2 + β3X3 + ....+ βkXk + e

Which statement is true about cross-validation.

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.

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

The product moment correlation,r2,is an index used to determine whether a linear,or straight-line,relationship exists between X and Y.It indicates the degree to which the variation in one variable,X,is related to the variation in another variable,Y.

The vertical distance from a point to the regression line is the squared error,e2.

r2 measures ________.

In regression with dummy variables,the predicted for each category is the mean of Y for each category.

The partial correlation coefficient is generally viewed as more important than the part correlation coefficient.

Which statement is not correct about the partial correlation coefficient?

The standard error of estimate,SEE,may be interpreted as a kind of average residual or average error in predicting Y from the regression equation.

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

The general form of the multiple regression model is: Y = β₀ + β₁ X1 + β₂ X₂+ β₃X₃ + ....+ βkXk + e

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

The product moment correlation,r²,is an index used to determine whether a linear,or straight-line,relationship exists between X and Y.It indicates the degree to which the variation in one variable,X,is related to the variation in another variable,Y.

The vertical distance from a point to the regression line is the squared error,e².

r² measures ________.