Question 1

The linear regression equation is structured so that when X = MX,the predicted value of Y is equal to MY.

Accepted Answer

A) True 
 B)False

Question 2

​Assuming that SSY is constant,which of the following correlations would have the largest SSresidual?

Accepted Answer

A) ​r = -0.10 
B) ​r = +0.40 
C) ​r = -0.70 
D) ​There is no relationship between the correlation and SSresidual. 
A) ​r = -0.10 
B) ​r = +0.40 
C) ​r = -0.70 
D) ​There is no relationship between the correlation and SSresidual.

Question 3

The multiple regression with two predictor variables is computed for a sample of n = 25 participants.What is the value for the degrees of freedom for the unpredicted portion of the Y-score variance,MSresidual?​

Accepted Answer

A) ​2 
B) ​3 
C) ​22 
D) ​23 
A) ​2 
B) ​3 
C) ​22 
D) ​23

Question 4

A set of n = 6 pairs of X and Y values has a Pearson correlation of r = 0.80 and SSY = 100.The standard error of estimate for the regression equation is 6/4 = 3 points.

Accepted Answer

A) True 
 B)False

Question 5

If other factors are held constant,if the Pearson correlation between X and Y is r = 0.80,then the regression equation will produce more accurate predictions than would be obtained if r = 0.60.

Accepted Answer

A) True 
 B)False

Question 6

For the regression equation,= -2X + 6,what can be determined about the correlation between X and Y?​

Accepted Answer

A) ​The correlation definitely will be positive. 
B) ​The correlation definitely will be negative. 
C) ​The correlation will be zero. 
D) ​The correlation will be relatively large and positive. 
A) ​The correlation definitely will be positive. 
B) ​The correlation definitely will be negative. 
C) ​The correlation will be zero. 
D) ​The correlation will be relatively large and positive.

Question 7

What is the standard error of estimate for a multiple regression equation with two predictor variables?​

Accepted Answer

A) ​the square root of (SSresidual/(n - 2)) 
B) ​the square root of (SSresidual/(n - 3)) 
C) ​the square root of (SSregression/(n - 2)) 
D) ​the square root of (SSregression/(n - 3)) 
A) ​the square root of (SSresidual/(n - 2)) 
B) ​the square root of (SSresidual/(n - 3)) 
C) ​the square root of (SSregression/(n - 2)) 
D) ​the square root of (SSregression/(n - 3))

Question 8

In the general linear equation,Y = bX + a,what is the value of b called?​

Accepted Answer

A) the slope​ 
B) ​the Y-intercept 
C) ​the X-intercept 
D) ​the beta factor 
A) the slope​ 
B) ​the Y-intercept 
C) ​the X-intercept 
D) ​the beta factor

Question 9

The distance between the Y value in the data and the Y value predicted from the regression equation is known as the residual.What is the value for the sum of the squared residuals?​

Accepted Answer

A) ​SSresidual = r2(SSX) 
B) ​SSresidual = (1 - r2)(SSX) 
C) ​SSresidual = r2(SSY) 
D) ​SSresidual = (1 - r2)(SSY) 
A) ​SSresidual = r2(SSX) 
B) ​SSresidual = (1 - r2)(SSX) 
C) ​SSresidual = r2(SSY) 
D) ​SSresidual = (1 - r2)(SSY)

Question 10

One use of a regression equation is to increase the accuracy of predicting Y scores.What determines the proportion of the variability in the Y scores that is predicted by the regression equation?​

Accepted Answer

A) ​r2 
B) ​1 - r2 
C) ​r 
D) ​1 - r 
A) ​r2 
B) ​1 - r2 
C) ​r 
D) ​1 - r

Question 11

For the regression equation,Y = 2X - 3,if the mean for X is MX = 5,what is the mean for Y?​

Accepted Answer

A) ​2 
B) ​4 
C) ​5 
D) ​7 
A) ​2 
B) ​4 
C) ​5 
D) ​7

Question 12

A multiple regression equation has R2 = 0.25 and SSY = 90 for a sample of n = 30 people.
a. Test the significance of the regression equation using α = .01.
b. Compute the standard error of estimate for the equation.

Accepted Answer

a.SSregression = 0.25(90)= 22.5 with df

Question 13

A set of X and Y scores has a regression equation with a slope of b = 4.If the mean for the X values is MX = 2 and the mean for the Y values is MY = 6,what is the Y-intercept value for the regression equation?​

Accepted Answer

A) ​-2 
B) ​-22 
C) ​4 
D) ​-4 
A) ​-2 
B) ​-22 
C) ​4 
D) ​-4

Question 14

The multiple regression with two predictor variables is computed for a sample of n = 25 participants.What is the value for the degrees of freedom for the predicted portion of the Y-score variance,MSregression?​

Accepted Answer

A) ​2 
B) ​3 
C) ​22 
D) ​23 
A) ​2 
B) ​3 
C) ​22 
D) ​23

Question 15

If a linear regression equation predicts more than 50% of the variance in the Y scores,then the correlation between X and Y must be greater than r = 0.70.

Accepted Answer

A) True 
 B)False

Question 16

A set of X and Y scores has SSX = 20,SSY = 10,and SP = 40.What is the slope for the regression equation?​

Accepted Answer

A) ​4.0 
B) ​2.0 
C) ​0.25 
D) ​0.50 
A) ​4.0 
B) ​2.0 
C) ​0.25 
D) ​0.50

Question 17

A sample of n = 15 pairs of X and Y scores produces a Pearson correlation of r = 0.45 with SSY = 90.
a. If the regression equation was found for these scores, how much of the Y variability would be predicted by the regression equation (SSregression) and how much would not be predicted (SSresidual)?
b. Does the regression equation predict a significant portion of the variability for the Y scores? (Equivalently, is the Pearson correlation significant?)

Accepted Answer

a.SSregression = 0.2025(90)= 18.255 with

Question 18

A set of n = 15 pairs of X and Y scores has SSX = 10,SSY = 40,and SP = 30.What is the slope for the regression equation for predicting Y from X?​

Accepted Answer

A) ​10/30 
B) ​10/40 
C) ​40/10 
D) ​30/10 
A) ​10/30 
B) ​10/40 
C) ​40/10 
D) ​30/10

Question 19

A regression equation has a slope of b = 3,if MX = 3 and MY = 10.The Y-intercept for the equation is 1.

Accepted Answer

A) True 
 B)False

Question 20

A multiple regression equation is computed for a sample of n = 20 sets of X1,X2,and Y scores.If the significance of the regression equation is evaluated using an F-ratio,then the ratio would have degrees of freedom equal to ____.​

Accepted Answer

A) ​df = 1, 18 
B) ​df = 1, 19 
C) ​df = 2, 17 
D) ​df = 2, 18 
A) ​df = 1, 18 
B) ​df = 1, 19 
C) ​df = 2, 17 
D) ​df = 2, 18

The linear regression equation is structured so that when X = M_X,the predicted value of Y is equal to M_Y.

Assuming that SS_Y is constant,which of the following correlations would have the largest SS_residual?

The multiple regression with two predictor variables is computed for a sample of n = 25 participants.What is the value for the degrees of freedom for the unpredicted portion of the Y-score variance,MS_residual?

A set of n = 6 pairs of X and Y values has a Pearson correlation of r = 0.80 and SS_Y = 100.The standard error of estimate for the regression equation is 6/4 = 3 points.

If other factors are held constant,if the Pearson correlation between X and Y is r = 0.80,then the regression equation will produce more accurate predictions than would be obtained if r = 0.60.

For the regression equation,= -2X + 6,what can be determined about the correlation between X and Y?

What is the standard error of estimate for a multiple regression equation with two predictor variables?

In the general linear equation,Y = bX + a,what is the value of b called?

The distance between the Y value in the data and the Y value predicted from the regression equation is known as the residual.What is the value for the sum of the squared residuals?

One use of a regression equation is to increase the accuracy of predicting Y scores.What determines the proportion of the variability in the Y scores that is predicted by the regression equation?

For the regression equation,Y = 2X - 3,if the mean for X is M_X = 5,what is the mean for Y?

A multiple regression equation has R² = 0.25 and SS_Y = 90 for a sample of n = 30 people. a. Test the significance of the regression equation using α = .01. b. Compute the standard error of estimate for the equation.

A set of X and Y scores has a regression equation with a slope of b = 4.If the mean for the X values is M_X = 2 and the mean for the Y values is M_Y = 6,what is the Y-intercept value for the regression equation?

The multiple regression with two predictor variables is computed for a sample of n = 25 participants.What is the value for the degrees of freedom for the predicted portion of the Y-score variance,MS_regression?

If a linear regression equation predicts more than 50% of the variance in the Y scores,then the correlation between X and Y must be greater than r = 0.70.

A set of X and Y scores has SS_X = 20,SS_Y = 10,and SP = 40.What is the slope for the regression equation?

A set of n = 15 pairs of X and Y scores has SS_X = 10,SS_Y = 40,and SP = 30.What is the slope for the regression equation for predicting Y from X?

A regression equation has a slope of b = 3,if M_X = 3 and M_Y = 10.The Y-intercept for the equation is 1.

A multiple regression equation is computed for a sample of n = 20 sets of X₁,X₂,and Y scores.If the significance of the regression equation is evaluated using an F-ratio,then the ratio would have degrees of freedom equal to ____.

Introduction to Statistics

Frequency Distributions

Central Tendency

Variability

Z-Scores: Location of Scores and Standardized Distributions

Probability

Probability and Samples: the Distribution of Sample Means

Introduction to Hypothesis Testing

Introduction to the T Statistic

The T Test for Two Independent Samples

The T Test for Two Related Samples

Introduction to Analysis of Variance

Repeated-Measures Analysis of Variance Anova

Two-Factor Analysis of Variance Independent Measures

Correlation

The Chi-Square Statistic: Tests for Goodness of Fit and Independence

The Binomial Test

Filters

Exam 16: Introduction to Regression

The linear regression equation is structured so that when X = MX,the predicted value of Y is equal to MY.

​Assuming that SSY is constant,which of the following correlations would have the largest SSresidual?

The multiple regression with two predictor variables is computed for a sample of n = 25 participants.What is the value for the degrees of freedom for the unpredicted portion of the Y-score variance,MSresidual?​

A set of n = 6 pairs of X and Y values has a Pearson correlation of r = 0.80 and SSY = 100.The standard error of estimate for the regression equation is 6/4 = 3 points.

If other factors are held constant,if the Pearson correlation between X and Y is r = 0.80,then the regression equation will produce more accurate predictions than would be obtained if r = 0.60.

For the regression equation,= -2X + 6,what can be determined about the correlation between X and Y?​

What is the standard error of estimate for a multiple regression equation with two predictor variables?​

In the general linear equation,Y = bX + a,what is the value of b called?​

The distance between the Y value in the data and the Y value predicted from the regression equation is known as the residual.What is the value for the sum of the squared residuals?​

One use of a regression equation is to increase the accuracy of predicting Y scores.What determines the proportion of the variability in the Y scores that is predicted by the regression equation?​

For the regression equation,Y = 2X - 3,if the mean for X is MX = 5,what is the mean for Y?​

A multiple regression equation has R2 = 0.25 and SSY = 90 for a sample of n = 30 people. a. Test the significance of the regression equation using α = .01. b. Compute the standard error of estimate for the equation.

A set of X and Y scores has a regression equation with a slope of b = 4.If the mean for the X values is MX = 2 and the mean for the Y values is MY = 6,what is the Y-intercept value for the regression equation?​

The multiple regression with two predictor variables is computed for a sample of n = 25 participants.What is the value for the degrees of freedom for the predicted portion of the Y-score variance,MSregression?​

If a linear regression equation predicts more than 50% of the variance in the Y scores,then the correlation between X and Y must be greater than r = 0.70.

A set of X and Y scores has SSX = 20,SSY = 10,and SP = 40.What is the slope for the regression equation?​

A set of n = 15 pairs of X and Y scores has SSX = 10,SSY = 40,and SP = 30.What is the slope for the regression equation for predicting Y from X?​

A regression equation has a slope of b = 3,if MX = 3 and MY = 10.The Y-intercept for the equation is 1.

A multiple regression equation is computed for a sample of n = 20 sets of X1,X2,and Y scores.If the significance of the regression equation is evaluated using an F-ratio,then the ratio would have degrees of freedom equal to ____.​

Introduction to Statistics

Frequency Distributions

Central Tendency

Variability

Z-Scores: Location of Scores and Standardized Distributions

Probability

Probability and Samples: the Distribution of Sample Means

Introduction to Hypothesis Testing

Introduction to the T Statistic

The T Test for Two Independent Samples

The T Test for Two Related Samples

Introduction to Analysis of Variance

Repeated-Measures Analysis of Variance Anova

Two-Factor Analysis of Variance Independent Measures

Correlation

The Chi-Square Statistic: Tests for Goodness of Fit and Independence

The Binomial Test

Filters

The linear regression equation is structured so that when X = M_X,the predicted value of Y is equal to M_Y.

Assuming that SS_Y is constant,which of the following correlations would have the largest SS_residual?

The multiple regression with two predictor variables is computed for a sample of n = 25 participants.What is the value for the degrees of freedom for the unpredicted portion of the Y-score variance,MS_residual?

A set of n = 6 pairs of X and Y values has a Pearson correlation of r = 0.80 and SS_Y = 100.The standard error of estimate for the regression equation is 6/4 = 3 points.

For the regression equation,= -2X + 6,what can be determined about the correlation between X and Y?

What is the standard error of estimate for a multiple regression equation with two predictor variables?

In the general linear equation,Y = bX + a,what is the value of b called?

The distance between the Y value in the data and the Y value predicted from the regression equation is known as the residual.What is the value for the sum of the squared residuals?

One use of a regression equation is to increase the accuracy of predicting Y scores.What determines the proportion of the variability in the Y scores that is predicted by the regression equation?

For the regression equation,Y = 2X - 3,if the mean for X is M_X = 5,what is the mean for Y?

A multiple regression equation has R² = 0.25 and SS_Y = 90 for a sample of n = 30 people. a. Test the significance of the regression equation using α = .01. b. Compute the standard error of estimate for the equation.

A set of X and Y scores has a regression equation with a slope of b = 4.If the mean for the X values is M_X = 2 and the mean for the Y values is M_Y = 6,what is the Y-intercept value for the regression equation?

The multiple regression with two predictor variables is computed for a sample of n = 25 participants.What is the value for the degrees of freedom for the predicted portion of the Y-score variance,MS_regression?

A set of X and Y scores has SS_X = 20,SS_Y = 10,and SP = 40.What is the slope for the regression equation?

A set of n = 15 pairs of X and Y scores has SS_X = 10,SS_Y = 40,and SP = 30.What is the slope for the regression equation for predicting Y from X?

A regression equation has a slope of b = 3,if M_X = 3 and M_Y = 10.The Y-intercept for the equation is 1.

A multiple regression equation is computed for a sample of n = 20 sets of X₁,X₂,and Y scores.If the significance of the regression equation is evaluated using an F-ratio,then the ratio would have degrees of freedom equal to ____.