Question 1

The coefficient of determination is the square root of the coefficient of correlation.

Accepted Answer

A) True 
 B)False

Question 2

A sales manager for an advertising agency believes there is a relationship between the number of contacts and the amount of the sales.To verify this belief,the following data was collected:   What is the Y-intercept of the linear equation?

Accepted Answer

A) -12.201 
B) 2.1946 
C) -2.1946 
D) 12.201 
A) -12.201 
B) 2.1946 
C) -2.1946 
D) 12.201

Question 3

A sales manager for an advertising agency believes there is a relationship between the number of contacts and the amount of the sales.To verify this belief,the following data was collected:   What is the slope of the linear equation?

Accepted Answer

A) -12.201 
B) 12.201 
C) 2.1946 
D) -2.1946 
A) -12.201 
B) 12.201 
C) 2.1946 
D) -2.1946

Question 4

If the correlation coefficient between two variables equals zero,what can be said of the variables X and Y?

Accepted Answer

A) Not related 
B) Dependent on each other 
C) Highly related 
D) All of these are correct 
A) Not related 
B) Dependent on each other 
C) Highly related 
D) All of these are correct

Question 5

What is the general form of the regression equation?

Accepted Answer

A)    = ab 
B)    = a + bX 
C)    = a - bX 
D)    = abX 
A)    = ab 
B)    = a + bX 
C)    = a - bX 
D)    = abX

Question 6

What is the technique used to predict or estimate the value of the dependent variable Y based on a selected value of an independent variable X called? __________________________

Accepted Answer

The answer of What is the technique used to predict...

Question 7

Assume the least squares equation is   = 10 + 20X.What does the value of 10 in the equation indicate?

Accepted Answer

A) Y intercept 
B) For each unit increased in Y,X increases by 10 
C) For each unit increased in X,Y increases by 10 
D) None of these 
A) Y intercept 
B) For each unit increased in Y,X increases by 10 
C) For each unit increased in X,Y increases by 10 
D) None of these

Question 8

Select a value for the correlation coefficient and provide a complete interpretation of the correlation coefficient using your selected value.

Accepted Answer

Answers will vary depending on the value

Question 9

Perfect correlation means that the scatter diagram will appear as a ______________________.

Accepted Answer

The answer of Perfect correlation means that the scatter diagram...

Question 10

Explained variation equals total variation minus unexplained variation.

Accepted Answer

A) True 
 B)False

Question 11

What variation does the coefficient of determination measure? _______

Accepted Answer

Explained

Question 12

A sales manager for an advertising agency believes there is a relationship between the number of contacts and the amount of the sales.To verify this belief,the following data was collected:   What is the independent variable?

Accepted Answer

A) Salesperson 
B) Number of contacts 
C) Amount of sales 
D) All the above 
A) Salesperson 
B) Number of contacts 
C) Amount of sales 
D) All the above

Question 13

What does a coefficient of correlation of 0.70 infer?

Accepted Answer

A) Almost no correlation because 0.70 is close to 1.0 
B) 70% of the variation in one variable is explained by the other 
C) Coefficient of determination is 0.49 
D) Coefficient of nondetermination is 0.30 
A) Almost no correlation because 0.70 is close to 1.0 
B) 70% of the variation in one variable is explained by the other 
C) Coefficient of determination is 0.49 
D) Coefficient of nondetermination is 0.30

Question 14

The strength of the correlation between two variables depends on the sign of the coefficient of correlation.

Accepted Answer

A) True 
 B)False

Question 15

A confidence interval is narrower than a prediction interval because a confidence interval estimates a mean Y instead of an individual Y for a given X.

Accepted Answer

A) True 
 B)False

Question 16

Which value of r indicates a stronger correlation than 0.40?

Accepted Answer

A) -0.30 
B) -0.50 
C) +0.38 
D) 0 
A) -0.30 
B) -0.50 
C) +0.38 
D) 0

Question 17

A regression analysis yields the following information:   Compute the 95% prediction interval when X = 4.

Accepted Answer

A) 0.0,4.05 
B) 2.67,5.33 
C) 4.14,12.26 
D) 6.85,9.55 
A) 0.0,4.05 
B) 2.67,5.33 
C) 4.14,12.26 
D) 6.85,9.55

Question 18

The values of a and b in the regression equation are called the regression coefficients.

Accepted Answer

A) True 
 B)False

Question 19

A sales manager for an advertising agency believes there is a relationship between the number of contacts and the amount of the sales.To verify this belief,the following data was collected:   What is the dependent variable?

Accepted Answer

A) Salesperson 
B) Number of contacts 
C) Amount of sales 
D) All the above 
A) Salesperson 
B) Number of contacts 
C) Amount of sales 
D) All the above

Question 20

What are the input and the output of linear regression?

Accepted Answer

As an input,linear regression requires d

The coefficient of determination is the square root of the coefficient of correlation.

A sales manager for an advertising agency believes there is a relationship between the number of contacts and the amount of the sales.To verify this belief,the following data was collected: What is the Y-intercept of the linear equation?

A sales manager for an advertising agency believes there is a relationship between the number of contacts and the amount of the sales.To verify this belief,the following data was collected: What is the slope of the linear equation?

If the correlation coefficient between two variables equals zero,what can be said of the variables X and Y?

What is the general form of the regression equation?

What is the technique used to predict or estimate the value of the dependent variable Y based on a selected value of an independent variable X called? __________________________

Assume the least squares equation is = 10 + 20X.What does the value of 10 in the equation indicate?

Select a value for the correlation coefficient and provide a complete interpretation of the correlation coefficient using your selected value.

Perfect correlation means that the scatter diagram will appear as a ______________________.

Explained variation equals total variation minus unexplained variation.

What variation does the coefficient of determination measure? _______

A sales manager for an advertising agency believes there is a relationship between the number of contacts and the amount of the sales.To verify this belief,the following data was collected: What is the independent variable?

What does a coefficient of correlation of 0.70 infer?

The strength of the correlation between two variables depends on the sign of the coefficient of correlation.

A confidence interval is narrower than a prediction interval because a confidence interval estimates a mean Y instead of an individual Y for a given X.

Which value of r indicates a stronger correlation than 0.40?

A regression analysis yields the following information: Compute the 95% prediction interval when X = 4.

The values of a and b in the regression equation are called the regression coefficients.

A sales manager for an advertising agency believes there is a relationship between the number of contacts and the amount of the sales.To verify this belief,the following data was collected: What is the dependent variable?

What are the input and the output of linear regression?

What Is Statistics

Describing Data: Frequency Distributions and Graphic Presentations

Describing Data: Numerical Measures

Describing Data: Displaying and Exploring Data

A Survey of Probability Concepts

Discrete Probability Distributions

Continuous Probability Distributions

Sampling Methods and the Central Limit Theorem

Estimation and Confidence Intervals

One-Sample Tests of Hypothesis

Two-Sample Tests of Hypothesis

Analysis of Variance

Multiple Regression and Correlation Analysis

Chi-Square Applications

Filters

Exam 13: Linear Regression and Correlation

The coefficient of determination is the square root of the coefficient of correlation.

A sales manager for an advertising agency believes there is a relationship between the number of contacts and the amount of the sales.To verify this belief,the following data was collected: What is the Y-intercept of the linear equation?

A sales manager for an advertising agency believes there is a relationship between the number of contacts and the amount of the sales.To verify this belief,the following data was collected: What is the slope of the linear equation?

If the correlation coefficient between two variables equals zero,what can be said of the variables X and Y?

What is the general form of the regression equation?

What is the technique used to predict or estimate the value of the dependent variable Y based on a selected value of an independent variable X called? __________________________

Assume the least squares equation is = 10 + 20X.What does the value of 10 in the equation indicate?

Select a value for the correlation coefficient and provide a complete interpretation of the correlation coefficient using your selected value.

Perfect correlation means that the scatter diagram will appear as a ______________________.

Explained variation equals total variation minus unexplained variation.

What variation does the coefficient of determination measure? _______

A sales manager for an advertising agency believes there is a relationship between the number of contacts and the amount of the sales.To verify this belief,the following data was collected: What is the independent variable?

What does a coefficient of correlation of 0.70 infer?

The strength of the correlation between two variables depends on the sign of the coefficient of correlation.

A confidence interval is narrower than a prediction interval because a confidence interval estimates a mean Y instead of an individual Y for a given X.

Which value of r indicates a stronger correlation than 0.40?

A regression analysis yields the following information: Compute the 95% prediction interval when X = 4.

The values of a and b in the regression equation are called the regression coefficients.

A sales manager for an advertising agency believes there is a relationship between the number of contacts and the amount of the sales.To verify this belief,the following data was collected: What is the dependent variable?

What are the input and the output of linear regression?

What Is Statistics

Describing Data: Frequency Distributions and Graphic Presentations

Describing Data: Numerical Measures

Describing Data: Displaying and Exploring Data

A Survey of Probability Concepts

Discrete Probability Distributions

Continuous Probability Distributions

Sampling Methods and the Central Limit Theorem

Estimation and Confidence Intervals

One-Sample Tests of Hypothesis

Two-Sample Tests of Hypothesis

Analysis of Variance

Multiple Regression and Correlation Analysis

Chi-Square Applications

Filters