Question 1

In a regression analysis if SSE = 500 and SSR = 300, then the coefficient of determination is

Accepted Answer

A) 0.6000 
B) 0.1666 
C) 1.6666 
D) 0.3750 
A) 0.6000 
B) 0.1666 
C) 1.6666 
D) 0.3750 D

Question 2

Exhibit 14-6
You are given the following information about y and x.  
-Given below are seven observations collected in a regression study on two variables, x (independent variable) and y (dependent variable). Use Excel to develop a scatter diagram and to compute the least squares estimated regression equation and the coefficient of determination.

Accepted Answer

The answer of Exhibit 14-6
You are given the following information...

Question 3

Exhibit 14-1
A regression analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x).  
-Refer to Exhibit 14-1. The sample correlation coefficient equals

Accepted Answer

A) 0 
B) -1 
C) +1 
D) -0.5 
A) 0 
B) -1 
C) +1 
D) -0.5 B

Question 4

Regression analysis was applied between sales (in $1,000) and advertising (in $100), and the following regression function was obtained.   = 80 + 6.2x Based on the above estimated regression line, if advertising is $10,000, then the point estimate for sales (in dollars) is

Accepted Answer

A) $62,080 
B) $142,000 
C) $700 
D) $700,000 
A) $62,080 
B) $142,000 
C) $700 
D) $700,000

Question 5

Exhibit 14-3
Regression analysis was applied between sales data (in $1,000s) and advertising data (in $100s) and the following information was obtained.  
-Refer to Exhibit 14-3. The critical F value at $\alpha$ = 0.05 is

Accepted Answer

A) 3.59 
B) 3.68 
C) 4.45 
D) 4.54 
A) 3.59 
B) 3.68 
C) 4.45 
D) 4.54

Question 6

Exhibit 14-3
Regression analysis was applied between sales data (in $1,000s) and advertising data (in $100s) and the following information was obtained.  
-Refer to Exhibit 14-3. Using $\alpha$ = 0.05, the critical t value for testing the significance of the slope is

Accepted Answer

A) 1.753 
B) 2.131 
C) 1.746 
D) 2.120 
A) 1.753 
B) 2.131 
C) 1.746 
D) 2.120

Question 7

Exhibit 14-6
You are given the following information about y and x.  
-A company has recorded data on the daily demand for its product (y in thousands of units) and the unit price (x in hundreds of dollars). A sample of 15 days demand and associated prices resulted in the following data.   
a.Using the above information, develop the least-squares estimated regression line and write the equation.
b.Compute the coefficient of determination.
c.Perform an F test and determine whether or not there is a significant relationship between demand and unit price. Let $\alpha$ = 0.05.
d.Would the demand ever reach zero? If yes, at what price would the demand be zero?

Accepted Answer

a.= 12.138 - 0.6276x
b.r<sup>2

Question 8

If the coefficient of correlation is 0.4, the percentage of variation in the dependent variable explained by the estimated regression equation

Accepted Answer

A) is 40% 
B) is 16% 
C) is 4% 
D) can be any positive value 
A) is 40% 
B) is 16% 
C) is 4% 
D) can be any positive value

Question 9

Exhibit 14-5
You are given the following information about y and x.  
-Refer to Exhibit 14-5. The least squares estimate of b0 (intercept) equals

Accepted Answer

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

Question 10

Exhibit 14-5
You are given the following information about y and x.  
-Refer to Exhibit 14-5. The sample correlation coefficient equals

Accepted Answer

A) 0 
B) +1 
C) -1 
D) -0.5 
A) 0 
B) +1 
C) -1 
D) -0.5

Question 11

Exhibit 14-6
You are given the following information about y and x.  
-A company has recorded data on the weekly sales for its product (y) and the unit price of the competitor's product (x). The data resulting from a random sample of 7 weeks follows. Use Excel to develop a scatter diagram and to compute the least squares estimated regression equation and the coefficient of determination.

Accepted Answer

The answer of Exhibit 14-6
You are given the following information...

Question 12

Exhibit 14-2
You are given the following information about y and x.  
-Refer to Exhibit 14-2. The coefficient of determination equals

Accepted Answer

A) -0.99705 
B) -0.9941 
C) 0.9941 
D) 0.99705 
A) -0.99705 
B) -0.9941 
C) 0.9941 
D) 0.99705

Question 13

Exhibit 14-6
You are given the following information about y and x.  
-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.= 1.0416 + 0.0099x b.r ² =

Question 14

In regression analysis, the variable that is being predicted is the

Accepted Answer

A) dependent variable 
B) independent variable 
C) intervening variable 
D) None of these answers is correct. 
A) dependent variable 
B) independent variable 
C) intervening variable 
D) None of these answers is correct.

Question 15

It is possible for the coefficient of determination to be

Accepted Answer

A) larger than 1 
B) less than one 
C) less than zero 
D) All of these answers are correct, depending on the situation under consideration. 
A) larger than 1 
B) less than one 
C) less than zero 
D) All of these answers are correct, depending on the situation under consideration.

Question 16

If a data set has SST = 2,000 and SSE = 800, then the coefficient of determination is

Accepted Answer

A) 0.4 
B) 0.6 
C) 0.5 
D) 0.8 
A) 0.4 
B) 0.6 
C) 0.5 
D) 0.8

Question 17

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

Accepted Answer

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

Question 18

Data points having high leverage are often

Accepted Answer

A) residuals 
B) sum of squares error 
C) influential 
D) None of the other answers is correct. 
A) residuals 
B) sum of squares error 
C) influential 
D) None of the other answers is correct.

Question 19

Exhibit 14-6
You are given the following information about y and x.  
-Refer to Exhibit 14-6. The coefficient of determination equals

Accepted Answer

A) -0.4364 
B) 0.4364 
C) -0.1905 
D) 0.1905 
A) -0.4364 
B) 0.4364 
C) -0.1905 
D) 0.1905

Question 20

The numerical value of the coefficient of determination

Accepted Answer

A) is always larger than the coefficient of correlation 
B) is always smaller than the coefficient of correlation 
C) is negative if the coefficient of determination is negative 
D) can be larger or smaller than the coefficient of correlation 
A) is always larger than the coefficient of correlation 
B) is always smaller than the coefficient of correlation 
C) is negative if the coefficient of determination is negative 
D) can be larger or smaller than the coefficient of correlation

In a regression analysis if SSE = 500 and SSR = 300, then the coefficient of determination is

Exhibit 14-1 A regression analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x). -Refer to Exhibit 14-1. The sample correlation coefficient equals

Regression analysis was applied between sales (in $1,000) and advertising (in $100), and the following regression function was obtained. = 80 + 6.2x Based on the above estimated regression line, if advertising is $10,000, then the point estimate for sales (in dollars) is

If the coefficient of correlation is 0.4, the percentage of variation in the dependent variable explained by the estimated regression equation

Exhibit 14-5 You are given the following information about y and x. -Refer to Exhibit 14-5. The least squares estimate of b₀ (intercept) equals

Exhibit 14-5 You are given the following information about y and x. -Refer to Exhibit 14-5. The sample correlation coefficient equals

Exhibit 14-2 You are given the following information about y and x. -Refer to Exhibit 14-2. The coefficient of determination equals

In regression analysis, the variable that is being predicted is the

It is possible for the coefficient of determination to be

If a data set has SST = 2,000 and SSE = 800, then the coefficient of determination is

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

Data points having high leverage are often

Exhibit 14-6 You are given the following information about y and x. -Refer to Exhibit 14-6. The coefficient of determination equals

The numerical value of the coefficient of determination

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

Tests of Goodness of Fit, Independence and Multiple Proportions

Experimental Design and Analysis of Variance

Multiple Regression

Regression Analysis: Model Building

Time Series Analysis and Forecasting

Nonparametric Methods

Statistical Methods for Quality Control

Decision Analysis

Sample Survey

Filters

Exam 14: Simple Linear Regression

In a regression analysis if SSE = 500 and SSR = 300, then the coefficient of determination is

Exhibit 14-1 A regression analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x). -Refer to Exhibit 14-1. The sample correlation coefficient equals

Regression analysis was applied between sales (in $1,000) and advertising (in $100), and the following regression function was obtained. = 80 + 6.2x Based on the above estimated regression line, if advertising is $10,000, then the point estimate for sales (in dollars) is

Exhibit 14-3 Regression analysis was applied between sales data (in $1,000s) and advertising data (in $100s) and the following information was obtained. -Refer to Exhibit 14-3. The critical F value at α\alphaα = 0.05 is

Exhibit 14-3 Regression analysis was applied between sales data (in $1,000s) and advertising data (in $100s) and the following information was obtained. -Refer to Exhibit 14-3. Using α\alphaα = 0.05, the critical t value for testing the significance of the slope is

If the coefficient of correlation is 0.4, the percentage of variation in the dependent variable explained by the estimated regression equation

Exhibit 14-5 You are given the following information about y and x. -Refer to Exhibit 14-5. The least squares estimate of b0 (intercept) equals

Exhibit 14-5 You are given the following information about y and x. -Refer to Exhibit 14-5. The sample correlation coefficient equals

Exhibit 14-2 You are given the following information about y and x. -Refer to Exhibit 14-2. The coefficient of determination equals

In regression analysis, the variable that is being predicted is the

It is possible for the coefficient of determination to be

If a data set has SST = 2,000 and SSE = 800, then the coefficient of determination is

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

Data points having high leverage are often

Exhibit 14-6 You are given the following information about y and x. -Refer to Exhibit 14-6. The coefficient of determination equals

The numerical value of the coefficient of determination

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

Tests of Goodness of Fit, Independence and Multiple Proportions

Experimental Design and Analysis of Variance

Multiple Regression

Regression Analysis: Model Building

Time Series Analysis and Forecasting

Nonparametric Methods

Statistical Methods for Quality Control

Decision Analysis

Sample Survey

Filters

Exhibit 14-5 You are given the following information about y and x. -Refer to Exhibit 14-5. The least squares estimate of b₀ (intercept) equals