Question 1

If a data set has SSR = 400 and SSE = 100, then the coefficient of determination is

Accepted Answer

A) 0.10 
B) 0.25 
C) 0.40 
D) 0.80 
A) 0.10 
B) 0.25 
C) 0.40 
D) 0.80

Question 2

In a regression analysis, the error term $\varepsilon$is a random variable with a mean or expected value of

Accepted Answer

A) zero 
B) one 
C) any positive value 
D) any value 
A) zero 
B) one 
C) any positive value 
D) any value

Question 3

The coefficient of correlation

Accepted Answer

A) is the square of the coefficient of determination 
B) is the square root of the coefficient of determination 
C) is the same as r-square 
D) can never be negative 
A) is the square of the coefficient of determination 
B) is the square root of the coefficient of determination 
C) is the same as r-square 
D) can never be negative

Question 4

Exhibit 14 - 1
The following information regarding a dependent variable (Y) and an independent variable (X) is provided.   SSE = 6
SST = 16
-Refer to Exhibit 14-1. The coefficient of determination is

Accepted Answer

A) 0.7096 
B) - 0.7906 
C) 0.625 
D) 0.375 
A) 0.7096 
B) - 0.7906 
C) 0.625 
D) 0.375

Question 5

Exhibit 14-6
For the following data the value of SSE = 0.4130.  
-Refer to Exhibit 14-6. The y intercept is

Accepted Answer

A) -1.5 
B) 24 
C) 0.50 
D) -0.707 
A) -1.5 
B) 24 
C) 0.50 
D) -0.707

Question 6

In regression analysis, which of the following is not a required assumption about the error term $\varepsilon$?

Accepted Answer

A) The expected value of the error term is one. 
B) The variance of the error term is the same for all values of X. 
C) The values of the error term are independent. 
D) The error term is normally distributed. 
A) The expected value of the error term is one. 
B) The variance of the error term is the same for all values of X. 
C) The values of the error term are independent. 
D) The error term is normally distributed.

Question 7

It is possible for the coefficient of determination to be

Accepted Answer

A) larger than 1 
B) less than one 
C) less than -1 
D) None of these alternatives is correct. 
A) larger than 1 
B) less than one 
C) less than -1 
D) None of these alternatives is correct.

Question 8

Exhibit 14-3
You are given the following information about y and x.  
-Refer to Exhibit 14-3. The least squares estimate of b0 equals

Accepted Answer

A) 1 
B) -1 
C) -11 
D) 11 
A) 1 
B) -1 
C) -11 
D) 11

Question 9

The following data represent the number of flash drives sold per day at a local computer shop and their prices.   
a.Develop a least-squares regression line and explain what the slope of the line indicates.
b.Compute the coefficient of determination and comment on the strength of relationship between x and y.
c.Compute the sample correlation coefficient between the price and the number of flash drives sold. Use$\alpha$= 0.01 to test the relationship between x and y.

Accepted Answer

a. @#IMG-DLM& = 29.7857 - 0.7286x
The slope indica

Question 10

The value of the coefficient of correlation (R)

Accepted Answer

A) can be equal to the value of the coefficient of determination (R2) 
B) can never be equal to the value of the coefficient of determination (R2) 
C) is always smaller than the value of the coefficient of determination 
D) is always larger than the value of the coefficient of determination 
A) can be equal to the value of the coefficient of determination (R2) 
B) can never be equal to the value of the coefficient of determination (R2) 
C) is always smaller than the value of the coefficient of determination 
D) is always larger than the value of the coefficient of determination

Question 11

The equation that describes how the dependent variable (y) is related to the independent variable (x) is called

Accepted Answer

A) the correlation model 
B) the regression model 
C) correlation analysis 
D) None of these alternatives is correct. 
A) the correlation model 
B) the regression model 
C) correlation analysis 
D) None of these alternatives is correct.

Question 12

If the coefficient of determination is a positive value, then the coefficient of correlation

Accepted Answer

A) must also be positive 
B) must be zero 
C) can be either negative or positive 
D) must be larger than 1 
A) must also be positive 
B) must be zero 
C) can be either negative or positive 
D) must be larger than 1

Question 13

The following data show the results of an aptitude test (Y) and the grade point average of 10 students.   
a.Develop a least squares estimated regression line.
b.Compute the coefficient of determination and comment on the strength of the regression relationship.
c.Is the slope significant? Use a t test and let $\alpha$ = 0.05.
d.At 95% confidence, test to determine if the model is significant (i.e., perform an F test).

Accepted Answer

a. @#IMG-DLM& = 8.171 + 9.4564X
b.0.83; there is a

Question 14

Exhibit 14-9
A regression and correlation analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x).  
-Refer to Exhibit 14-9. The least squares estimate of b1 equals

Accepted Answer

A) 0.923 
B) 1.991 
C) -1.991 
D) -0.923 
A) 0.923 
B) 1.991 
C) -1.991 
D) -0.923

Question 15

Assume you have noted the following prices for books and the number of pages that each book contains.   
a.Develop a least-squares estimated regression line.
b.Compute the coefficient of determination and explain its meaning.
c.Compute the correlation coefficient between the price and the number of pages. Test to see if x and y are related. Use $\alpha$ = 0.10.

Accepted Answer

a. @#IMG-DLM& = 1.0416 + 0.0099x b.r ² = .5629; the

Question 16

In the following estimated regression equation

Accepted Answer

A) b1 is the slope 
B) b1 is the intercept 
C) b0 is the slope 
D) None of these alternatives is correct. 
A) b1 is the slope 
B) b1 is the intercept 
C) b0 is the slope 
D) None of these alternatives is correct.

Question 17

Exhibit 14-7
You are given the following information about y and x.  
-Refer to Exhibit 14-7. The least squares estimate of b1 (slope) equals

Accepted Answer

A) -10 
B) 10 
C) 0.5 
D) -0.5 
A) -10 
B) 10 
C) 0.5 
D) -0.5

Question 18

Exhibit 14-2
You are given the following information about y and x.  
-Refer to Exhibit 14-2. The least squares estimate of b1 (slope) equals

Accepted Answer

A) 1 
B) -1 
C) 6 
D) 5 
A) 1 
B) -1 
C) 6 
D) 5

Question 19

Below you are given information on annual income and years of college education.   
a.Develop the least squares regression equation.
b.Estimate the yearly income of an individual with 6 years of college education.
c.Compute the coefficient of determination.
d.Use a t test to determine whether the slope is significantly different from zero. Let $\alpha$ = 0.05.
e.At 95% confidence, perform an F test and determine whether or not the model is significant.

Accepted Answer

a. @#IMG-DLM& = 25.6 + 5.2X
b.$56,800
c.0.939
d.t

Question 20

Exhibit 14-10
The following information regarding a dependent variable Y and an independent variable X is provided.  
-Refer to Exhibit 14-10. The slope of the regression function is

Accepted Answer

A) -1 
B) 1.0 
C) 11 
D) 0.0 
A) -1 
B) 1.0 
C) 11 
D) 0.0

If a data set has SSR = 400 and SSE = 100, then the coefficient of determination is

In a regression analysis, the error term $\varepsilon$ is a random variable with a mean or expected value of

The coefficient of correlation

Exhibit 14 - 1 The following information regarding a dependent variable (Y) and an independent variable (X) is provided. SSE = 6 SST = 16 -Refer to Exhibit 14-1. The coefficient of determination is

Exhibit 14-6 For the following data the value of SSE = 0.4130. -Refer to Exhibit 14-6. The y intercept is

In regression analysis, which of the following is not a required assumption about the error term $\varepsilon$ ?

It is possible for the coefficient of determination to be

Exhibit 14-3 You are given the following information about y and x. -Refer to Exhibit 14-3. The least squares estimate of b₀ equals

The value of the coefficient of correlation (R)

The equation that describes how the dependent variable (y) is related to the independent variable (x) is called

If the coefficient of determination is a positive value, then the coefficient of correlation

Exhibit 14-9 A regression and correlation analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x). -Refer to Exhibit 14-9. The least squares estimate of b₁ equals

In the following estimated regression equation

Exhibit 14-7 You are given the following information about y and x. -Refer to Exhibit 14-7. The least squares estimate of b₁ (slope) equals

Exhibit 14-2 You are given the following information about y and x. -Refer to Exhibit 14-2. The least squares estimate of b₁ (slope) equals

Exhibit 14-10 The following information regarding a dependent variable Y and an independent variable X is provided. -Refer to Exhibit 14-10. The slope of the regression function is

Data and Statistics

Descriptive Statistics: Tabular and Graphical Displays

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Comparing Multiple Proportions, Test of Independence and Goodness of Fit

Experimental Design and Analysis of Variance

Multiple Regression

Regression Analysis: Model Building

Time Series Analysis and Forecasting

Nonparametric Methods

Statistical Methods for Quality Control

Index Numbers

Decision Analysis on Website

Sample Survey on Website

Filters

Exam 14: Simple Linear Regression

If a data set has SSR = 400 and SSE = 100, then the coefficient of determination is

In a regression analysis, the error term ε\varepsilonε is a random variable with a mean or expected value of

The coefficient of correlation

Exhibit 14 - 1 The following information regarding a dependent variable (Y) and an independent variable (X) is provided. SSE = 6 SST = 16 -Refer to Exhibit 14-1. The coefficient of determination is

Exhibit 14-6 For the following data the value of SSE = 0.4130. -Refer to Exhibit 14-6. The y intercept is

In regression analysis, which of the following is not a required assumption about the error term ε\varepsilonε ?

It is possible for the coefficient of determination to be

Exhibit 14-3 You are given the following information about y and x. -Refer to Exhibit 14-3. The least squares estimate of b0 equals

The value of the coefficient of correlation (R)

The equation that describes how the dependent variable (y) is related to the independent variable (x) is called

If the coefficient of determination is a positive value, then the coefficient of correlation

Exhibit 14-9 A regression and correlation analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x). -Refer to Exhibit 14-9. The least squares estimate of b1 equals

In the following estimated regression equation

Exhibit 14-7 You are given the following information about y and x. -Refer to Exhibit 14-7. The least squares estimate of b1 (slope) equals

Exhibit 14-2 You are given the following information about y and x. -Refer to Exhibit 14-2. The least squares estimate of b1 (slope) equals

Exhibit 14-10 The following information regarding a dependent variable Y and an independent variable X is provided. -Refer to Exhibit 14-10. The slope of the regression function is

Data and Statistics

Descriptive Statistics: Tabular and Graphical Displays

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Comparing Multiple Proportions, Test of Independence and Goodness of Fit

Experimental Design and Analysis of Variance

Multiple Regression

Regression Analysis: Model Building

Time Series Analysis and Forecasting

Nonparametric Methods

Statistical Methods for Quality Control

Index Numbers

Decision Analysis on Website

Sample Survey on Website

Filters

In a regression analysis, the error term $\varepsilon$ is a random variable with a mean or expected value of

In regression analysis, which of the following is not a required assumption about the error term $\varepsilon$ ?

Exhibit 14-3 You are given the following information about y and x. -Refer to Exhibit 14-3. The least squares estimate of b₀ equals

Exhibit 14-9 A regression and correlation analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x). -Refer to Exhibit 14-9. The least squares estimate of b₁ equals

Exhibit 14-7 You are given the following information about y and x. -Refer to Exhibit 14-7. The least squares estimate of b₁ (slope) equals

Exhibit 14-2 You are given the following information about y and x. -Refer to Exhibit 14-2. The least squares estimate of b₁ (slope) equals