Question 1

________ involves testing the significance of the overall regression equation as well as specific partial regression coefficients.
A) Correlation analysis
B) Significance testing
C) Regression analysis
D) Factor analysis
E) Residual analysis

Accepted Answer

Significance testing involves testing the significance of the overall regression equation as well as specific partial regression coefficients.

Question 2

In a short essay,discuss multiple regression and the multiple regression model.

Accepted Answer

The answer of In a short essay,discuss multiple regression and...

Question 3

Given the multiple regression equation,Ŷ = a+b₁X₁+b₂X₂,and the bivariate equation Ŷ = a+bX₁,why is the partial regression coefficient,b₁,different from the regression coefficient,b,obtained by regressing Y on only X₁?

Accepted Answer

The answer of Given the multiple regression equation,Ŷ = a+b₁X₁+b₂X₂,and...

Question 4

In a short essay,define standardization and include a discussion of beta coefficient and standardized regression coefficient to support your answer.

Accepted Answer

The answer of In a short essay,define standardization and include...

Question 5

In a short essay,discuss the characteristics and uses of a scatter diagram.Include a discussion of the least-squares procedure to support your answer.

Accepted Answer

The answer of In a short essay,discuss the characteristics and...

Question 6

All of the following about multiple regression are true EXCEPT:
A) R² cannot be less than the highest bivariate r² between an independent variable and the dependent variable.
B) R² will be larger when the correlations between independent variables are low.
C) If the independent variables are uncorrelated, then R² will be the sum of the bivariate r² of each independent variable with the dependent variable.
D) Adjusted R² adjusts for the number of independent variables and sample size.
E) R² can decrease as more independent variables are added to the regression equation.

Accepted Answer

R² cannot decrease as more independent variables are added; it can only stay the same or increase.

Question 7

In a short essay,define regression analysis and discuss at least four ways in which regression analysis can be used.

Accepted Answer

The answer of In a short essay,define regression analysis and...

Question 8

________ derives a mathematical equation in the form of a straight line between a single metric criterion variable and a single metric predictor variable.
A) Bivariate regression
B) Standard deviation
C) Standard error of the mean
D) Analysis of variance
E) Functional linear analysis

Accepted Answer

Bivariate regression is the statistical method that derives a mathematical equation in the form of a straight line between a single metric criterion variable and a single metric predictor variable. Standard deviation measures the spread of data around the mean, standard error of the mean measures the precision of the mean estimate, analysis of variance tests for differences between two or more groups, and functional linear analysis deals with non-linear relationships between variables.

Question 9

According to the text,the ________ measures the linear association between two metric variables.
A) regression analysis coefficient
B) covariance coefficient
C) analysis of variance coefficient
D) product moment correlation coefficient
E) F-statistic

Accepted Answer

The product moment correlation coefficient, commonly known as Pearson's correlation coefficient, measures the linear association between two metric variables by calculating the strength and direction of the relationship between the two variables. This coefficient ranges from -1 to 1, with 0 indicating no correlation, 1 indicating a perfect positive correlation, and -1 indicating a perfect negative correlation.

Question 10

________ involves a single dependent variable and two or more independent variables.
A) Analysis of variance
B) Factor analysis
C) Correlation analysis
D) Multiple regression
E) Canonical correlation

Accepted Answer

Multiple regression involves a single dependent variable and two or more independent variables, and is used to predict values of the dependent variable based on the values of the independent variables. Choice A (Analysis of Variance) involves comparing the means of two or more groups on a dependent variable. Choice B (Factor analysis) involves identifying underlying factors that explain correlations among a set of observed variables. Choice C (Correlation analysis) involves examining the relationship between two continuous variables. Choice E(Canonical correlation) involves examining the relationship between two sets of variables.

Question 11

In a short essay,discuss the characteristics of bivariate regression.

Accepted Answer

The answer of In a short essay,discuss the characteristics of...

Quiz 18: Correlation and Regression

________ involves testing the significance of the overall regression equation as well as specific partial regression coefficients.

In a short essay,discuss multiple regression and the multiple regression model.

Given the multiple regression equation,Ŷ = a+b₁X₁+b₂X₂,and the bivariate equation Ŷ = a+bX₁,why is the partial regression coefficient,b₁,different from the regression coefficient,b,obtained by regressing Y on only X₁?

In a short essay,define standardization and include a discussion of beta coefficient and standardized regression coefficient to support your answer.

In a short essay,discuss the characteristics and uses of a scatter diagram.Include a discussion of the least-squares procedure to support your answer.

All of the following about multiple regression are true EXCEPT:

In a short essay,define regression analysis and discuss at least four ways in which regression analysis can be used.

________ derives a mathematical equation in the form of a straight line between a single metric criterion variable and a single metric predictor variable.

According to the text,the ________ measures the linear association between two metric variables.

________ involves a single dependent variable and two or more independent variables.

In a short essay,discuss the characteristics of bivariate regression.