Question 1

If the coefficient of determination is expressed as a percent, its value is between 0% and 100%.

Accepted Answer

A) True 
 B)False  True

Question 2

What are the inputs and the output of linear regression?

Accepted Answer

As an input, linear regression requires data for two interval or ratio variables. One is defined as the dependent variable and the other is defined as the independent variable. The output of linear regression is a least squares regression equation of the form Ŷ = a + b X that can be used to predict the value of the dependent variable for a selected value of the independent variable.

Question 3

The coefficient of determination is the proportion of total variation in Y that is explained by X.

Accepted Answer

A) True 
 B)False  True

Question 4

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)  4.15, 12.25 
D)  6.873, 9.527 
A)  0.0, 4.05 
B)  2.67, 5.33 
C)  4.15, 12.25 
D)  6.873, 9.527

Question 5

A company wants to study the effect of an employee's length of employment on their number of workdays absent. The results of the regression analysis follow.   What is the least squares equation? ___________________

Accepted Answer

The answer of A company wants to study the effect...

Question 6

A sales manager for an advertising agency believes that there is a relationship between the number of contacts that a sales person makes and the amount of the sales dollars earned. What is the independent variable?

Accepted Answer

A)  Salesperson 
B)  Number of contacts 
C)  Amount of sales 
D)  Sales manager 
A)  Salesperson 
B)  Number of contacts 
C)  Amount of sales 
D)  Sales manager

Question 7

An advertising company wanted to study the effect of advertising budget ($ millions) on the millions of ad impressions of consumers. The following regression analysis shows the results of the study.   What is the decision regarding the null hypothesis that no relationship exists?

Accepted Answer

Reject the null hypothesis and

Question 8

A sales manager for an advertising agency believes that there is a relationship between the number of contacts that a sales person makes and the amount of the sales dollars earned. A regression analysis shows the following results:   What is the slope of the linear equation?

Accepted Answer

A)  -12.201 
B)  2.195 
C)  -1.860 
D)  12.505 
A)  -12.201 
B)  2.195 
C)  -1.860 
D)  12.505

Question 9

If the coefficient of correlation is -0.81, what is the coefficient of determination? _______

Accepted Answer

The answer of If the coefficient of correlation is -0.81,...

Question 10

In the least squares equation, Ŷ = 10 + 20X the value of 20 indicates

Accepted Answer

A)  the Y intercept increases by 20 units for each unit increase in X. 
B)  that Y increases by 20 units for each unit increase in X. 
C)  that X increases by 20 units for each unit increase in Y. 
D)  the error in prediction. 
A)  the Y intercept increases by 20 units for each unit increase in X. 
B)  that Y increases by 20 units for each unit increase in X. 
C)  that X increases by 20 units for each unit increase in Y. 
D)  the error in prediction.

Question 11

The relationship between interest rates as a percent (X) and housing starts (Y) is given by the linear equation Ŷ = 4094 - 269X.
What will be the number of housing starts if the interest rate is 8.25%? ___________

Accepted Answer

The answer of The relationship between interest rates as a...

Question 12

Which of the following statements regarding the coefficient of correlation is true?

Accepted Answer

A)  It ranges from 0.0 to +1.0 inclusive. 
B)  It tests for a relationship between two variables. 
C)  A value of 0.00 indicates two variables are related. 
D)  It is calculated as the square of the slope. 
A)  It ranges from 0.0 to +1.0 inclusive. 
B)  It tests for a relationship between two variables. 
C)  A value of 0.00 indicates two variables are related. 
D)  It is calculated as the square of the slope.

Question 13

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 14

If the coefficient of correlation is 0.80, what is the coefficient of determination? ______

Accepted Answer

The answer of If the coefficient of correlation is 0.80,...

Question 15

A sales manager for an advertising agency believes that there is a relationship between the number of contacts that a sales person makes and the amount of the sales dollars earned. A regression analysis shows the following results       = 33.4.   = 2814.4. The 95% confidence interval for 30 calls is

Accepted Answer

A)  55.8, 51.5 
B)  51.4, 55.9 
C)  46.7, 60.6 
D)  31.1, 76.2 
A)  55.8, 51.5 
B)  51.4, 55.9 
C)  46.7, 60.6 
D)  31.1, 76.2

Question 16

If the coefficient of determination is 0.81, what is the coefficient of correlation? ______

Accepted Answer

The answer of If the coefficient of determination is 0.81,...

Question 17

Which of the following is NOT a difference between a confidence interval and a prediction interval?

Accepted Answer

A)  The addition of "1" under the radical for the prediction interval. 
B)  A confidence interval uses the standard error of estimate and a prediction interval does not. 
C)  A prediction interval refers to a specific case. 
D)  A confidence interval is narrower than a prediction interval. 
A)  The addition of "1" under the radical for the prediction interval. 
B)  A confidence interval uses the standard error of estimate and a prediction interval does not. 
C)  A prediction interval refers to a specific case. 
D)  A confidence interval is narrower than a prediction interval.

Question 18

What is the best model to describe a linear relationship between two variables? ________________________

Accepted Answer

The answer of What is the best model to describe...

Question 19

Using the following regression analysis.   What are the regression degrees of freedom?

Accepted Answer

The answer of Using the following regression analysis.  ...

Question 20

What is the range of values for the coefficient of determination?

Accepted Answer

A)  -1 to +1 inclusive 
B)  -100% to +100% inclusive 
C)  -100% to 0% inclusive 
D)  0% to 100% inclusive 
A)  -1 to +1 inclusive 
B)  -100% to +100% inclusive 
C)  -100% to 0% inclusive 
D)  0% to 100% inclusive

If the coefficient of determination is expressed as a percent, its value is between 0% and 100%.

What are the inputs and the output of linear regression?

The coefficient of determination is the proportion of total variation in Y that is explained by X.

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

A company wants to study the effect of an employee's length of employment on their number of workdays absent. The results of the regression analysis follow. What is the least squares equation? ___________________

A sales manager for an advertising agency believes that there is a relationship between the number of contacts that a sales person makes and the amount of the sales dollars earned. What is the independent variable?

An advertising company wanted to study the effect of advertising budget ($ millions) on the millions of ad impressions of consumers. The following regression analysis shows the results of the study. What is the decision regarding the null hypothesis that no relationship exists?

A sales manager for an advertising agency believes that there is a relationship between the number of contacts that a sales person makes and the amount of the sales dollars earned. A regression analysis shows the following results: What is the slope of the linear equation?

If the coefficient of correlation is -0.81, what is the coefficient of determination? _______

In the least squares equation, Ŷ = 10 + 20X the value of 20 indicates

The relationship between interest rates as a percent (X) and housing starts (Y) is given by the linear equation Ŷ = 4094 - 269X. What will be the number of housing starts if the interest rate is 8.25%? ___________

Which of the following statements regarding the coefficient of correlation is true?

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? __________________________

If the coefficient of correlation is 0.80, what is the coefficient of determination? ______

A sales manager for an advertising agency believes that there is a relationship between the number of contacts that a sales person makes and the amount of the sales dollars earned. A regression analysis shows the following results = 33.4. = 2814.4. The 95% confidence interval for 30 calls is

If the coefficient of determination is 0.81, what is the coefficient of correlation? ______

Which of the following is NOT a difference between a confidence interval and a prediction interval?

What is the best model to describe a linear relationship between two variables? ________________________

Using the following regression analysis. What are the regression degrees of freedom?

What is the range of values for the coefficient of determination?

What Is Statistics

Describing Data: Frequency Tables, Frequency Distributions, and Graphic Presentation

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 Analysis

Index Numbers

Time Series and Forecasting

Nonparametric Methods: Goodness-Of-Fit Tests

Nonparametric Methods: Analysis of Ranked Data

Statistical Process Control and Quality Management

An Introduction to Decision Theory

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Exam 13: Correlation and Linear Regression

If the coefficient of determination is expressed as a percent, its value is between 0% and 100%.

What are the inputs and the output of linear regression?

The coefficient of determination is the proportion of total variation in Y that is explained by X.

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

A company wants to study the effect of an employee's length of employment on their number of workdays absent. The results of the regression analysis follow. What is the least squares equation? ___________________

A sales manager for an advertising agency believes that there is a relationship between the number of contacts that a sales person makes and the amount of the sales dollars earned. What is the independent variable?

An advertising company wanted to study the effect of advertising budget ($ millions) on the millions of ad impressions of consumers. The following regression analysis shows the results of the study. What is the decision regarding the null hypothesis that no relationship exists?

A sales manager for an advertising agency believes that there is a relationship between the number of contacts that a sales person makes and the amount of the sales dollars earned. A regression analysis shows the following results: What is the slope of the linear equation?

If the coefficient of correlation is -0.81, what is the coefficient of determination? _______

In the least squares equation, Ŷ = 10 + 20X the value of 20 indicates

The relationship between interest rates as a percent (X) and housing starts (Y) is given by the linear equation Ŷ = 4094 - 269X. What will be the number of housing starts if the interest rate is 8.25%? ___________

Which of the following statements regarding the coefficient of correlation is true?

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? __________________________

If the coefficient of correlation is 0.80, what is the coefficient of determination? ______

A sales manager for an advertising agency believes that there is a relationship between the number of contacts that a sales person makes and the amount of the sales dollars earned. A regression analysis shows the following results = 33.4. = 2814.4. The 95% confidence interval for 30 calls is

If the coefficient of determination is 0.81, what is the coefficient of correlation? ______

Which of the following is NOT a difference between a confidence interval and a prediction interval?

What is the best model to describe a linear relationship between two variables? ________________________

Using the following regression analysis. What are the regression degrees of freedom?

What is the range of values for the coefficient of determination?

What Is Statistics

Describing Data: Frequency Tables, Frequency Distributions, and Graphic Presentation

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 Analysis

Index Numbers

Time Series and Forecasting

Nonparametric Methods: Goodness-Of-Fit Tests

Nonparametric Methods: Analysis of Ranked Data

Statistical Process Control and Quality Management

An Introduction to Decision Theory

Filters