Question 1

What is the null hypothesis to test the significance of the slope in a regression equation?

Accepted Answer

A) H0: β = 0 
B) H0: β ≠ 0 
C) H0: β ≤ 0 
D) H0: β ≥ 0 
A) H0: β = 0 
B) H0: β ≠ 0 
C) H0: β ≤ 0 
D) H0: β ≥ 0 A

Question 2

A regression analysis yields the following information:   = 2.21 + 1.49X; n = 10;   = 166;   = 32;   = 134;   = 31.6. Compute the 95% confidence interval when X = 4.

Accepted Answer

A) 0.0,4.05 
B) 4.15,12.25 
C) 2.67,5.33 
D) 6.842,9.497 
A) 0.0,4.05 
B) 4.15,12.25 
C) 2.67,5.33 
D) 6.842,9.497 D

Question 3

In the equation,   = a + bX,what is   ?

Accepted Answer

A) It is the slope of the line. 
B) It is the Y-intercept. 
C) It is the predicted value of Y,given a specific X value. 
D) It is the value of Y when X = 0. 
A) It is the slope of the line. 
B) It is the Y-intercept. 
C) It is the predicted value of Y,given a specific X value. 
D) It is the value of Y when X = 0. C

Question 4

What is the general form of the regression equation?

Accepted Answer

A)    = ab 
B)    = a + (bX) 
C)    = (a + b)X 
D)    = abX 
A)    = ab 
B)    = a + (bX) 
C)    = (a + b)X 
D)    = abX

Question 5

What is the alternate hypothesis to test the significance of the slope in a regression equation?

Accepted Answer

A) H1: β = 0 
B) H1: β ≠ 0 
C) H1: β ≤ 0 
D) H1: β ≥ 0 
A) H1: β = 0 
B) H1: β ≠ 0 
C) H1: β ≤ 0 
D) H1: β ≥ 0

Question 6

A sales manager for an advertising agency believes that there is a relationship between the number of contacts that a salesperson makes and the amount of sales dollars earned. A regression analysis shows the following results:   What is the Y-intercept 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 7

Which of the following is the same between a confidence interval and a prediction interval?

Accepted Answer

A) The formulas are the same. 
B) They both use the standard error of estimate. 
C) They both provide a confidence interval for the mean. 
D) A confidence interval and prediction interval are the same width. 
A) The formulas are the same. 
B) They both use the standard error of estimate. 
C) They both provide a confidence interval for the mean. 
D) A confidence interval and prediction interval are the same width.

Question 8

The Pearson product-moment correlation coefficient,r,requires that variables be measured with ________.

Accepted Answer

A) an interval or ratio scale 
B) an ordinal or ratio scale 
C) a nominal or ordinal scale 
D) a nominal or ratio scale 
A) an interval or ratio scale 
B) an ordinal or ratio scale 
C) a nominal or ordinal scale 
D) a nominal or ratio scale

Question 9

What is the variable used to predict another variable called?

Accepted Answer

A) Independent variable 
B) Dependent variable 
C) Important variable 
D) Causal variable 
A) Independent variable 
B) Dependent variable 
C) Important variable 
D) Causal variable

Question 10

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

Accepted Answer

A) True 
 B)False

Question 11

If the correlation coefficient has a negative value,then the coefficient of determination ________.

Accepted Answer

A) can take on either a negative or positive value 
B) must be positive 
C) will also have a negative value 
D) will equal zero 
A) can take on either a negative or positive value 
B) must be positive 
C) will also have a negative value 
D) will equal zero

Question 12

In the regression equation,what does the letter a represent?

Accepted Answer

A) The Y-intercept 
B) The slope of the line 
C) Any value of the independent variable that is selected 
D) An error 
A) The Y-intercept 
B) The slope of the line 
C) Any value of the independent variable that is selected 
D) An error

Question 13

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

Accepted Answer

A) True 
 B)False

Question 14

What is the chart called when the paired data (the dependent and independent variables)are plotted?

Accepted Answer

A) A scatter diagram 
B) A bar chart 
C) A pie chart 
D) A histogram 
A) A scatter diagram 
B) A bar chart 
C) A pie chart 
D) A histogram

Question 15

The standard error of estimate measures the accuracy of a prediction.

Accepted Answer

A) True 
 B)False

Question 16

If all the plots on a scatter diagram lie on a straight line,what is the standard error of estimate?

Accepted Answer

A) −1 
B) +1 
C) 0 
D) Infinity 
A) −1 
B) +1 
C) 0 
D) Infinity

Question 17

Using the following information:     The regression equation is ________.

Accepted Answer

A)    = 2.1794 − 12.8094X 
B)    = −12.8094 + 2.1794X 
C) 12.8094X = 2.1794   
D) X = −12.8094 + 2.1794   
A)    = 2.1794 − 12.8094X 
B)    = −12.8094 + 2.1794X 
C) 12.8094X = 2.1794   
D) X = −12.8094 + 2.1794

Question 18

In the least squares equation,   = 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 19

Using the following information:     What is the coefficient of determination? Round the percentage to one decimal point.

Accepted Answer

A) 91.8% 
B) 8.2% 
C) 90.0% 
D) 136.9% 
A) 91.8% 
B) 8.2% 
C) 90.0% 
D) 136.9%

Question 20

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

Accepted Answer

A)    = 2.195 − 12.201X 
B)    = −12.201 + 2.195X 
C)    = 12.201 + 2.195X 
D)    = 2.195 + 12.201X 
A)    = 2.195 − 12.201X 
B)    = −12.201 + 2.195X 
C)    = 12.201 + 2.195X 
D)    = 2.195 + 12.201X

What is the null hypothesis to test the significance of the slope in a regression equation?

A regression analysis yields the following information: = 2.21 + 1.49X; n = 10; = 166; = 32; = 134; = 31.6. Compute the 95% confidence interval when X = 4.

In the equation, = a + bX,what is ?

What is the general form of the regression equation?

What is the alternate hypothesis to test the significance of the slope in a regression equation?

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

Which of the following is the same between a confidence interval and a prediction interval?

The Pearson product-moment correlation coefficient,r,requires that variables be measured with ________.

What is the variable used to predict another variable called?

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

If the correlation coefficient has a negative value,then the coefficient of determination ________.

In the regression equation,what does the letter a represent?

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

What is the chart called when the paired data (the dependent and independent variables)are plotted?

The standard error of estimate measures the accuracy of a prediction.

If all the plots on a scatter diagram lie on a straight line,what is the standard error of estimate?

Using the following information: The regression equation is ________.

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

Using the following information: What is the coefficient of determination? Round the percentage to one decimal point.

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

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

Nonparametric Methods: Nominal Level Hypothesis Tests

Nonparametric Methods: Analysis of Ordinal Data

Index Numbers

Time Series and Forecasting

Statistical Process Control and Quality Management

An Introduction to Decision Theory

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Exam 13: Correlation and Linear Regression

What is the null hypothesis to test the significance of the slope in a regression equation?

A regression analysis yields the following information: = 2.21 + 1.49X; n = 10; = 166; = 32; = 134; = 31.6. Compute the 95% confidence interval when X = 4.

In the equation, = a + bX,what is ?

What is the general form of the regression equation?

What is the alternate hypothesis to test the significance of the slope in a regression equation?

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

Which of the following is the same between a confidence interval and a prediction interval?

The Pearson product-moment correlation coefficient,r,requires that variables be measured with ________.

What is the variable used to predict another variable called?

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

If the correlation coefficient has a negative value,then the coefficient of determination ________.

In the regression equation,what does the letter a represent?

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

What is the chart called when the paired data (the dependent and independent variables)are plotted?

The standard error of estimate measures the accuracy of a prediction.

If all the plots on a scatter diagram lie on a straight line,what is the standard error of estimate?

Using the following information: The regression equation is ________.

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

Using the following information: What is the coefficient of determination? Round the percentage to one decimal point.

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

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

Nonparametric Methods: Nominal Level Hypothesis Tests

Nonparametric Methods: Analysis of Ordinal Data

Index Numbers

Time Series and Forecasting

Statistical Process Control and Quality Management

An Introduction to Decision Theory

Filters