Question 1

What information does a regression residual provide?

Accepted Answer

The answer of What information does a regression residual provide?...

Question 2

What information does a coefficient of determination provide?

Accepted Answer

The answer of What information does a coefficient of determination...

Question 3

What kinds of questions can you answer using a correlation coefficient?

Accepted Answer

The answer of What kinds of questions can you answer...

Question 4

What information does a multiple correlation coefficient provide?

Accepted Answer

The answer of What information does a multiple correlation coefficient...

Question 5

For a correlation matrix with many variables, what is the difference between pairwise and listwise deletion of missing data?

Accepted Answer

The answer of For a correlation matrix with many variables,...

Question 6

If R² for a regression equation is .25, what is the value of the coefficient of determination? __________

Accepted Answer

The answer of If R² for a regression equation is...

Question 7

The multiple correlation coefficient (R) indicates _____ of the relationship between the dependent variable and the set of independent variables.
A) the direction but not strength
B) the strength but not direction
C) the strength and direction
D) neither the strength nor the direction

Accepted Answer

The multiple correlation coefficient (R) indicates the strength of the relationship between the dependent variable and the set of independent variables, but it does not provide information about the direction of the relationship.

Question 8

If the value of the multiple correlation is .80, what is the value of the coefficient of determination? __________

Accepted Answer

The answer of If the value of the multiple correlation...

Question 9

Which one of the following statements about the relationship between two interval/ratio variables is TRUE?
A) If two variables have a perfect curvilinear relationship, their correlation will be 1.00.
B) If the correlation between two variables is negative, the slope of the bivariate regression line will be negative.
C) The further from zero the slope, the stronger the correlation.
D) The regression line is the "best-fitting" straight line because it maximizes the number of data points that it passes through.

Accepted Answer

A negative correlation means that as one variable increases, the other variable decreases. Therefore, the bivariate regression line will have a negative slope, as it shows how the change in the independent variable relates to a change in the dependent variable. A perfect curvilinear relationship would not result in a correlation of 1.00, as this only indicates a perfect linear relationship. The strength of the correlation is determined by the absolute value of the correlation coefficient, not the slope. The regression line is the line that minimizes the residuals, not the number of data points it passes through.

Question 10

If the value of the multiple correlation coefficient is .40, what is the value of the coefficient of determination (R²)? A) .16 B) .40 C) .60 D) 4.00

Accepted Answer

The coefficient of determination is calculated by squaring the multiple correlation coefficient, so .40 squared equals .16.

Question 11

If the coefficient of determination for a regression equation is .25, what is the value of the coefficient of alienation? __________

Accepted Answer

The answer of If the coefficient of determination for a...

Question 12

How does a scatterplot indicate the strength of the relationship between two variables?

Accepted Answer

The answer of How does a scatterplot indicate the strength...

Question 13

What information does an unstandardized coefficient provide?

Accepted Answer

The answer of What information does an unstandardized coefficient provide?...

Question 14

Which number line represents the independent variable in a scatterplot?

Accepted Answer

The answer of Which number line represents the independent variable...

Question 15

Number of children is regressed on years of schooling. The unstandardized regression coefficient for years of schooling is .125. Do persons with more years of schooling have more, less, or the same number of children as persons with fewer years of schooling?
A) more
B) less
C) the same

Accepted Answer

The unstandardized regression coefficient of .125 indicates that for each additional year of schooling, the number of children increases by 0.125, suggesting that persons with more years of schooling have more children.

Question 16

If R² for a regression equation is .30, how much of the variability in the dependent variable is NOT accounted for by the independent variables? __________

Accepted Answer

The answer of If R² for a regression equation is...

Question 17

How does a scatterplot indicate the direction of the relationship between two variables?

Accepted Answer

The answer of How does a scatterplot indicate the direction...

Question 18

Weight loss is regressed on initial weight. On the basis of the resulting regression equation, a person's predicted weight loss is 15 pounds. They actually lost 17 pounds. What is the regression residual?
A) −2
B) 2
C) 17
D) 32

Accepted Answer

The regression residual is the difference between the actual value and the predicted value. In this case, the predicted value is 15 pounds and the actual value is 17 pounds, so the residual is 17 - 15 = 2. Therefore, the answer is B, 2.

Question 19

INCOME is regressed on years of schooling (EDUC). The regression equation indicates that each additional year of schooling increases income by $1,200 and persons with no schooling have an income of $300. Which of the following is the correct regression equation?
A) INCOME = 300 − 1200(EDUC)
B) INCOME = 300 + 1200(EDUC)
C) INCOME = 1200 + 300(EDUC)
D) INCOME = 1500(EDUC)

Accepted Answer

According to the information given, the regression equation is:
INCOME = a + b(EDUC)
where a is the income for persons with no education and b is the increase in income per year of schooling. 
From the information given, we know that a = $300 and b = $1,200. 
Substituting these values into the regression equation gives:
INCOME = $300 + $1,200(EDUC) 
which corresponds to choice (B).

Question 20

What kinds of questions can you answer using bivariate regression?

Accepted Answer

The answer of What kinds of questions can you answer...

Quiz 9: Pearsons Correlation and Bivariate Regression

What information does a regression residual provide?

What information does a coefficient of determination provide?

What kinds of questions can you answer using a correlation coefficient?

What information does a multiple correlation coefficient provide?

For a correlation matrix with many variables, what is the difference between pairwise and listwise deletion of missing data?

If R² for a regression equation is .25, what is the value of the coefficient of determination? __________

The multiple correlation coefficient (R) indicates _____ of the relationship between the dependent variable and the set of independent variables.

If the value of the multiple correlation is .80, what is the value of the coefficient of determination? __________

Which one of the following statements about the relationship between two interval/ratio variables is TRUE?

If the value of the multiple correlation coefficient is .40, what is the value of the coefficient of determination (R²) ?

If the coefficient of determination for a regression equation is .25, what is the value of the coefficient of alienation? __________

How does a scatterplot indicate the strength of the relationship between two variables?

What information does an unstandardized coefficient provide?

Which number line represents the independent variable in a scatterplot?

Number of children is regressed on years of schooling. The unstandardized regression coefficient for years of schooling is .125. Do persons with more years of schooling have more, less, or the same number of children as persons with fewer years of schooling?

If R² for a regression equation is .30, how much of the variability in the dependent variable is NOT accounted for by the independent variables? __________

How does a scatterplot indicate the direction of the relationship between two variables?

Weight loss is regressed on initial weight. On the basis of the resulting regression equation, a person's predicted weight loss is 15 pounds. They actually lost 17 pounds. What is the regression residual?

INCOME is regressed on years of schooling (EDUC) . The regression equation indicates that each additional year of schooling increases income by $1,200 and persons with no schooling have an income of $300. Which of the following is the correct regression equation?

What kinds of questions can you answer using bivariate regression?

Quiz 9: Pearsons Correlation and Bivariate Regression

What information does a regression residual provide?

What information does a coefficient of determination provide?

What kinds of questions can you answer using a correlation coefficient?

What information does a multiple correlation coefficient provide?

For a correlation matrix with many variables, what is the difference between pairwise and listwise deletion of missing data?

If R2 for a regression equation is .25, what is the value of the coefficient of determination? __________

The multiple correlation coefficient (R) indicates _____ of the relationship between the dependent variable and the set of independent variables.

If the value of the multiple correlation is .80, what is the value of the coefficient of determination? __________

Which one of the following statements about the relationship between two interval/ratio variables is TRUE?

If the value of the multiple correlation coefficient is .40, what is the value of the coefficient of determination (R2) ?

If the coefficient of determination for a regression equation is .25, what is the value of the coefficient of alienation? __________

How does a scatterplot indicate the strength of the relationship between two variables?

What information does an unstandardized coefficient provide?

Which number line represents the independent variable in a scatterplot?

Number of children is regressed on years of schooling. The unstandardized regression coefficient for years of schooling is .125. Do persons with more years of schooling have more, less, or the same number of children as persons with fewer years of schooling?

If R2 for a regression equation is .30, how much of the variability in the dependent variable is NOT accounted for by the independent variables? __________

How does a scatterplot indicate the direction of the relationship between two variables?

Weight loss is regressed on initial weight. On the basis of the resulting regression equation, a person's predicted weight loss is 15 pounds. They actually lost 17 pounds. What is the regression residual?

INCOME is regressed on years of schooling (EDUC) . The regression equation indicates that each additional year of schooling increases income by $1,200 and persons with no schooling have an income of $300. Which of the following is the correct regression equation?

What kinds of questions can you answer using bivariate regression?

If R² for a regression equation is .25, what is the value of the coefficient of determination? __________

If the value of the multiple correlation coefficient is .40, what is the value of the coefficient of determination (R²) ?

If R² for a regression equation is .30, how much of the variability in the dependent variable is NOT accounted for by the independent variables? __________