Question 1

Exhibit 12-5
You are given the following information about y and x.
  
-Refer to Exhibit 12-5. 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 2

A least squares regression line

Accepted Answer

A) may be used to predict a value of y if the corresponding x value is given 
B) implies a cause-effect relationship between x and y 
C) can only be determined if a good linear relationship exists between x and y 
D) All of these answers are correct. 
A) may be used to predict a value of y if the corresponding x value is given 
B) implies a cause-effect relationship between x and y 
C) can only be determined if a good linear relationship exists between x and y 
D) All of these answers are correct.

Question 3

The interval estimate of the mean value of y for a given value of x is the

Accepted Answer

A) confidence interval 
B) prediction interval 
C) residual interval 
D) correlation interval 
A) confidence interval 
B) prediction interval 
C) residual interval 
D) correlation interval

Question 4

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's Regression Tool to answer the following questions.
   
a.What is the estimated regression equation?
b.Perform a t test and determine whether or not x and y are related. Use F1F1F1S1F1F1F10 F1F1F1S1F1F1F10 0.05.
c.Perform an F test and determine whether or not x and y are related. Use F1F1F1S1F1F1F10 F1F1F1S1F1F1F10 0.05.
d.Find and interpret the coefficient of determination.

Accepted Answer

@#IMG-DLM& 
a.@#IMG-DLM&F1F1F1S1F1F1F10 3.581788441 F1F1F1S

Question 5

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 6

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:
a.compute a 95% confidence interval for expected sales for all weeks when the competitor's price is .30.
b.compute a 95% prediction interval for sales for a week when the competitor's price is 30.

Accepted Answer

@#IMG-DLM& @#IMG-DLM& a.14.00

Question 7

Exhibit 12-1
A regression analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x).
  
-Refer to Exhibit 12-1. 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

Question 8

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 9

If a data set has SST F1F1F1S1F1F1F10 2,000 and SSE F1F1F1S1F1F1F10 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 10

Shown below is a portion of a computer output for regression analysis relating y (dependent variable) and x (independent variable).
   
a.What has been the sample size for the above?
b.Perform a t-test and determine whether or not x and y are related. Use F1F1F1S1F1F1F10 F1F1F1S1F1F1F10 0.05.
c.Perform an F-test and determine whether or not x and y are related. Use F1F1F1S1F1F1F10 F1F1F1S1F1F1F10 0.05.
d. Compute the coefficient of determination.e. Interpret the meaning of the value of the coefficient of determination that you found in d. Be very specific.

Accepted Answer

a.22
b.Since the test statistic t F1F1F1

Question 11

The least squares criterion is

Accepted Answer

A)   
B)   
C)   
D)   
A)   
B)   
C)   
D)

Question 12

Exhibit 12-1
A regression analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x).
  
-Refer to Exhibit 12-1. The least squares estimate of b0 equals

Accepted Answer

A) 1 
B) -1 
C) 5.5 
D) 11 
A) 1 
B) -1 
C) 5.5 
D) 11

Question 13

Exhibit 12-4
The following information regarding a dependent variable (Y) and an independent variable (X) is provided.
   SSE = 6
SST = 16
-Refer to Exhibit 12-4. The MSE is

Accepted Answer

A) 1 
B) 2 
C) 3 
D) 4 
A) 1 
B) 2 
C) 3 
D) 4

Question 14

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

Question 15

Exhibit 12-4
The following information regarding a dependent variable (Y) and an independent variable (X) is provided.
   SSE = 6
SST = 16
-Refer to Exhibit 12-4. 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 16

Regression analysis was applied between sales (in $1,000) and advertising (in $100), and the following regression function was obtained.   F1F1F1S1F1F1F10 80 F1F1F1S1F1F1F10 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 17

Exhibit 12-1
A regression analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x).
  
-Refer to Exhibit 12-1. The point estimate of y when x F1F1F1S1F1F1F10 20 is

Accepted Answer

A) 0 
B) 31 
C) 9 
D) -9 
A) 0 
B) 31 
C) 9 
D) -9

Question 18

SSE can never be

Accepted Answer

A) larger than SST 
B) smaller than SST 
C) equal to 1 
D) equal to zero 
A) larger than SST 
B) smaller than SST 
C) equal to 1 
D) equal to zero

Question 19

An observation that has a strong effect on the regression results is called a(n)

Accepted Answer

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

Question 20

Exhibit 12-1
A regression analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x).
  
-Refer to Exhibit 12-1. The least squares estimate of b1 equals

Accepted Answer

A) 1 
B) -1 
C) 5.5 
D) 11 
A) 1 
B) -1 
C) 5.5 
D) 11

Exhibit 12-5 You are given the following information about y and x. -Refer to Exhibit 12-5. The least squares estimate of b₁ (slope) equals

A least squares regression line

The interval estimate of the mean value of y for a given value of x is the

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

Exhibit 12-1 A regression analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x). -Refer to Exhibit 12-1. The sample correlation coefficient equals

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

The least squares criterion is

Exhibit 12-1 A regression analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x). -Refer to Exhibit 12-1. The least squares estimate of b₀ equals

Exhibit 12-4 The following information regarding a dependent variable (Y) and an independent variable (X) is provided. SSE = 6 SST = 16 -Refer to Exhibit 12-4. The MSE is

The numerical value of the coefficient of determination

Exhibit 12-4 The following information regarding a dependent variable (Y) and an independent variable (X) is provided. SSE = 6 SST = 16 -Refer to Exhibit 12-4. The coefficient of determination is

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 12-1 A regression analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x). -Refer to Exhibit 12-1. The point estimate of y when x  20 is

SSE can never be

An observation that has a strong effect on the regression results is called a(n)

Exhibit 12-1 A regression analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x). -Refer to Exhibit 12-1. The least squares estimate of b₁ equals

Data and Statistics

Descriptive Statistics: Tabular and Graphical Presentations

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Comparisons Involving Means, Experimental Design, and Analysis of Variance

Comparisons Involving Proportions and a Test of Independence

Multiple Regression

Statistical Methods for Quality Control

Time Series Analysis and Forecastng

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Exam 12: Simple Linear Regression

Exhibit 12-5 You are given the following information about y and x. -Refer to Exhibit 12-5. The least squares estimate of b1 (slope) equals

A least squares regression line

The interval estimate of the mean value of y for a given value of x is the

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

Exhibit 12-1 A regression analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x). -Refer to Exhibit 12-1. The sample correlation coefficient equals

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

The least squares criterion is

Exhibit 12-1 A regression analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x). -Refer to Exhibit 12-1. The least squares estimate of b0 equals

Exhibit 12-4 The following information regarding a dependent variable (Y) and an independent variable (X) is provided. SSE = 6 SST = 16 -Refer to Exhibit 12-4. The MSE is

The numerical value of the coefficient of determination

Exhibit 12-4 The following information regarding a dependent variable (Y) and an independent variable (X) is provided. SSE = 6 SST = 16 -Refer to Exhibit 12-4. The coefficient of determination is

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 12-1 A regression analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x). -Refer to Exhibit 12-1. The point estimate of y when x  20 is

SSE can never be

An observation that has a strong effect on the regression results is called a(n)

Exhibit 12-1 A regression analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x). -Refer to Exhibit 12-1. The least squares estimate of b1 equals

Data and Statistics

Descriptive Statistics: Tabular and Graphical Presentations

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Hypothesis Tests

Comparisons Involving Means, Experimental Design, and Analysis of Variance

Comparisons Involving Proportions and a Test of Independence

Multiple Regression

Statistical Methods for Quality Control

Time Series Analysis and Forecastng

Filters

Exhibit 12-5 You are given the following information about y and x. -Refer to Exhibit 12-5. The least squares estimate of b₁ (slope) equals

Exhibit 12-1 A regression analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x). -Refer to Exhibit 12-1. The least squares estimate of b₀ equals

Exhibit 12-1 A regression analysis resulted in the following information regarding a dependent variable (y) and an independent variable (x). -Refer to Exhibit 12-1. The least squares estimate of b₁ equals