Question 1

Using the following information:     What is the correlation coefficient?

Accepted Answer

A) 0.9184 
B) 0.9583 
C) −0.9583 
D) 0.9004 
A) 0.9184 
B) 0.9583 
C) −0.9583 
D) 0.9004

Question 2

Consider the following regression equation: Y = 30 + 8X. If SSE = 720 and SS Total = 1,200,then the correlation coefficient is ________.

Accepted Answer

A) −0.632 
B) 0.70 
C) 0.632 
D) −0.70 
A) −0.632 
B) 0.70 
C) 0.632 
D) −0.70

Question 3

Given the least squares regression equation,   = 1,202 + 1,133X,when X = 3,what does   equal?

Accepted Answer

A) 5,734 
B) 8,000 
C) 4,601 
D) 4,050 
A) 5,734 
B) 8,000 
C) 4,601 
D) 4,050

Question 4

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 describes the 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 describes the 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 5

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

Accepted Answer

A) True 
 B)False

Question 6

Which of the following is true about the standard error of estimate?

Accepted Answer

A) It is a measure of the accuracy of the prediction. 
B) It is based on squared vertical deviations between Y and X. 
C) It can be negative. 
D) It is calculated using the regression mean square. 
A) It is a measure of the accuracy of the prediction. 
B) It is based on squared vertical deviations between Y and X. 
C) It can be negative. 
D) It is calculated using the regression mean square.

Question 7

A hypothesis test is conducted at the 0.05 level of significance to test whether or not the population correlation is zero. If the sample consists of 25 observations and the correlation coefficient is 0.60,what is the computed value of the test statistic? Round to two decimal places.

Accepted Answer

A) 1.96 
B) 2.07 
C) 2.94 
D) 3.60 
A) 1.96 
B) 2.07 
C) 2.94 
D) 3.60

Question 8

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:       = 33.4.   = 2,814.4. The 95% prediction interval for a particular person making 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 9

Consider a regression analysis,where the correlation coefficient is 0.18. Then,the coefficient of determination is ________.

Accepted Answer

A) 0.36 
B) 0.0324 
C) 0.424 
D) 1.16 
A) 0.36 
B) 0.0324 
C) 0.424 
D) 1.16

Question 10

A confidence interval can be determined for the mean value of Y for a given value of X.

Accepted Answer

A) True 
 B)False

Question 11

The regression equation is Ŷ = 29.29 − 0.96X,the sample size is 8,and the standard error of the slope is 0.22. What is the test statistic to test the significance of the slope?

Accepted Answer

A) z = −4.364 
B) z = +4.364 
C) t = −4.364 
D) t = −0.960 
A) z = −4.364 
B) z = +4.364 
C) t = −4.364 
D) t = −0.960

Question 12

The regression equation is used to estimate a value of the dependent variable Y based on a selected value of the independent variable X.

Accepted Answer

A) True 
 B)False

Question 13

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

Accepted Answer

A) 0.0,4.05 
B) 2.67,5.33 
C) 4.118,12.226 
D) 6.873,9.527 
A) 0.0,4.05 
B) 2.67,5.33 
C) 4.118,12.226 
D) 6.873,9.527

Question 14

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

Accepted Answer

A) z-statistic 
B) F-statistic 
C) t-statistic 
D) π-statistic 
A) z-statistic 
B) F-statistic 
C) t-statistic 
D) π-statistic

Question 15

What does a coefficient of correlation of 0.70 infer?

Accepted Answer

A) There is almost no correlation because 0.70 is close to 1.0. 
B) Seventy percent of the variation in one variable is explained by the other variable. 
C) The coefficient of determination is 0.49. 
D) The coefficient of nondetermination is 0.30. 
A) There is almost no correlation because 0.70 is close to 1.0. 
B) Seventy percent of the variation in one variable is explained by the other variable. 
C) The coefficient of determination is 0.49. 
D) The coefficient of nondetermination is 0.30.

Question 16

The least squares technique minimizes the sum of the squares of the vertical distances between the actual Y values and the predicted values of Y.

Accepted Answer

A) True 
 B)False

Question 17

In regression analysis,what is the predictor variable called?

Accepted Answer

A) Independent variable 
B) Dependent variable 
C) Correlation variable 
D) Variable of determination 
A) Independent variable 
B) Dependent variable 
C) Correlation variable 
D) Variable of determination

Question 18

What are the degrees of freedom used to test the significance of the slope in a simple linear regression equation?

Accepted Answer

A) n − 1 
B) n − 2 
C) n − 1,n − 2 
D) (n − 1)(n − 2) 
A) n − 1 
B) n − 2 
C) n − 1,n − 2 
D) (n − 1)(n − 2)

Question 19

Which value of r indicates a stronger correlation than 0.40?

Accepted Answer

A) −0.30 
B) −0.80 
C) +0.38 
D) 0 
A) −0.30 
B) −0.80 
C) +0.38 
D) 0

Question 20

The hypothesis to test the slope of a regression equation is H0: α = 0.

Accepted Answer

A) True 
 B)False

Using the following information: What is the correlation coefficient?

Consider the following regression equation: Y = 30 + 8X. If SSE = 720 and SS Total = 1,200,then the correlation coefficient is ________.

Given the least squares regression equation, = 1,202 + 1,133X,when X = 3,what does equal?

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

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

Which of the following is true about the standard error of estimate?

A hypothesis test is conducted at the 0.05 level of significance to test whether or not the population correlation is zero. If the sample consists of 25 observations and the correlation coefficient is 0.60,what is the computed value of the test statistic? Round to two decimal places.

Consider a regression analysis,where the correlation coefficient is 0.18. Then,the coefficient of determination is ________.

A confidence interval can be determined for the mean value of Y for a given value of X.

The regression equation is Ŷ = 29.29 − 0.96X,the sample size is 8,and the standard error of the slope is 0.22. What is the test statistic to test the significance of the slope?

The regression equation is used to estimate a value of the dependent variable Y based on a selected value of the independent variable X.

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

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

What does a coefficient of correlation of 0.70 infer?

The least squares technique minimizes the sum of the squares of the vertical distances between the actual Y values and the predicted values of Y.

In regression analysis,what is the predictor variable called?

What are the degrees of freedom used to test the significance of the slope in a simple linear regression equation?

Which value of r indicates a stronger correlation than 0.40?

The hypothesis to test the slope of a regression equation is H₀: α = 0.

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

Exam 13: Correlation and Linear Regression

Using the following information: What is the correlation coefficient?

Consider the following regression equation: Y = 30 + 8X. If SSE = 720 and SS Total = 1,200,then the correlation coefficient is ________.

Given the least squares regression equation, = 1,202 + 1,133X,when X = 3,what does equal?

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

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

Which of the following is true about the standard error of estimate?

A hypothesis test is conducted at the 0.05 level of significance to test whether or not the population correlation is zero. If the sample consists of 25 observations and the correlation coefficient is 0.60,what is the computed value of the test statistic? Round to two decimal places.

Consider a regression analysis,where the correlation coefficient is 0.18. Then,the coefficient of determination is ________.

A confidence interval can be determined for the mean value of Y for a given value of X.

The regression equation is Ŷ = 29.29 − 0.96X,the sample size is 8,and the standard error of the slope is 0.22. What is the test statistic to test the significance of the slope?

The regression equation is used to estimate a value of the dependent variable Y based on a selected value of the independent variable X.

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

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

What does a coefficient of correlation of 0.70 infer?

The least squares technique minimizes the sum of the squares of the vertical distances between the actual Y values and the predicted values of Y.

In regression analysis,what is the predictor variable called?

What are the degrees of freedom used to test the significance of the slope in a simple linear regression equation?

Which value of r indicates a stronger correlation than 0.40?

The hypothesis to test the slope of a regression equation is H0: α = 0.

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

The hypothesis to test the slope of a regression equation is H₀: α = 0.