Question 1

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 2

Briefly explain how a scatter diagram benefits the researcher?

Accepted Answer

A scatter diagram is useful for determin

Question 3

The product moment correlation is also known as the Pearson correlation coefficient and as ________.

Accepted Answer

A) simple correlation 
B) bivariate correlation 
C) correlation coefficient 
D) all of the above 
A) simple correlation 
B) bivariate correlation 
C) correlation coefficient 
D) all of the above

Question 4

The standard error of estimate,SEE,is the standard deviation of the actual Y values from the predicted Ŷ values.

Accepted Answer

A) True 
 B)False

Question 5

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 6

The covariance may be either positive or negative.

Accepted Answer

A) True 
 B)False

Question 7

________ is a statistical technique that simultaneously develops a mathematical relationship between two or more independent variables and an interval-scaled dependent variable.

Accepted Answer

A) Chi-square 
B) The least-squares procedure 
C) Multiple regression 
D) Bivariate regression 
A) Chi-square 
B) The least-squares procedure 
C) Multiple regression 
D) Bivariate regression

Question 8

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

Question 9

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

Accepted Answer

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

Question 10

The formula for the coefficient of determination is r2 = SSreg/ SSy.

Accepted Answer

A) True 
 B)False

Question 11

A residual is the difference between the observed value of Yi and the value predicted by the regression equation,Ŷi.

Accepted Answer

A) True 
 B)False

Question 12

A correlation matrix indicates the coefficient of correlation between each pair of variables.

Accepted Answer

A) True 
 B)False

Question 13

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 14

The equation for r involves dividing the ________ by ________.

Accepted Answer

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

Question 15

Given the multiple regression equation,Ŷ = a + b1X1 + b2X2,and the bivariate equation Ŷ = a + bX,why is the partial regression coefficient,b1,different from the regression coefficient,b,obtained by regressing Y on only X1?

Accepted Answer

This happens because X₁ and X₂ are usually

Question 16

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.

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

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

________ variables may be used as predictors or independent variables by coding them as dummy variables.

Accepted Answer

A) Interval 
B) Categorical 
C) Ratio 
D) All of the above 
A) Interval 
B) Categorical 
C) Ratio 
D) All of the above

Question 20

________ 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

Exam 17: Correlation and Regression

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

Briefly explain how a scatter diagram benefits the researcher?

The product moment correlation is also known as the Pearson correlation coefficient and as ________.

The standard error of estimate,SEE,is the standard deviation of the actual Y values from the predicted Ŷ values.

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

The covariance may be either positive or negative.

________ is a statistical technique that simultaneously develops a mathematical relationship between two or more independent variables and an interval-scaled dependent variable.

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.

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

The formula for the coefficient of determination is r2 = SSreg/ SSy.

A residual is the difference between the observed value of Yi and the value predicted by the regression equation,Ŷi.

A correlation matrix indicates the coefficient of correlation between each pair of variables.

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

The equation for r involves dividing the ________ by ________.

Given the multiple regression equation,Ŷ = a + b1X1 + b2X2,and the bivariate equation Ŷ = a + bX,why is the partial regression coefficient,b1,different from the regression coefficient,b,obtained by regressing Y on only X1?

Which statement is not true about correlation matrices?

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

________ variables may be used as predictors or independent variables by coding them as dummy 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.

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

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

The formula for the coefficient of determination is r² = SS_reg/ SS_y.

A residual is the difference between the observed value of Y_i and the value predicted by the regression equation,Ŷ_i.

The equation for r involves dividing the by .

Given the multiple regression equation,Ŷ = a + b₁X₁+ b₂X_2,and the bivariate equation Ŷ = a + bX,why is the partial regression coefficient,b₁,different from the regression coefficient,b,obtained by regressing Y on only X₁?

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