Question 1

If only MSE is known, you can compute the

Accepted Answer

A) r square 
B) coefficient of determination 
C) standard error 
D) all of these alternatives are correct 
A) r square 
B) coefficient of determination 
C) standard error 
D) all of these alternatives are correct C

Question 2

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 coefficient of determination equals

Accepted Answer

A) 0.6472 
B) -0.6472 
C) 0 
D) 1 
A) 0.6472 
B) -0.6472 
C) 0 
D) 1 A

Question 3

Regression analysis was applied between sales (in $10,000) and advertising (in $100) and the following regression function was obtained.   = 50 + 8 X Based on the above estimated regression line if advertising is $1,000, then the point estimate for sales (in dollars) is

Accepted Answer

A) $8,050 
B) $130 
C) $130,000 
D) $1,300,000 
A) $8,050 
B) $130 
C) $130,000 
D) $1,300,000 D

Question 4

Regression analysis was applied between sales (Y in $1,000) and advertising (X in $100), and the following estimated regression equation was obtained.   = 80 + 6.2 X 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

The following data shows the yearly income (in $1,000) and age of a sample of seven individuals.   
a.Develop the least squares regression equation.
b.Estimate the yearly income of a 30-year-old individual.
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& = 16.204 + 0.3848X
b.$27,748
c.0.226

Question 6

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. Let $\alpha$  = 0.05.
c. Perform an F test and determine whether or not X and Y are related. Let $\alpha$  = 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 through d @#IMG-DLM& @#IMG-DLM& @#IMG-DLM& e.26.

Question 7

The owner of a retail store randomly selected the following weekly data on profits and advertising cost.   
a.Write down the appropriate linear relationship between advertising cost and profits. Which is the dependent variable? Which is the independent variable?
b.Calculate the least squares estimated regression line.
c.Predict the profits for a week when $200 is spent on advertising.
d.At 95% confidence, test to determine if the relationship between advertising costs and profits is statistically significant.
e.Calculate the coefficient of determination.

Accepted Answer

a.E(Y) = @#LAT-DLM&₀ + @#LAT-DLM&₁X, where Y is profit and X i

Question 8

Exhibit 14-8
The following information regarding a dependent variable Y and an independent variable X is provided  
-Refer to Exhibit 14-8. The Y intercept is

Accepted Answer

A) -0.667 
B) 0.667 
C) 100 
D) -100 
A) -0.667 
B) 0.667 
C) 100 
D) -100

Question 9

In simple linear regression analysis, which of the following is not true?

Accepted Answer

A) The F test and the t test yield the same conclusion. 
B) The F test and the t test may or may not yield the same conclusion. 
C) The relationship between X and Y is represented by means of a straight line. 
D) The value of F = t2. 
A) The F test and the t test yield the same conclusion. 
B) The F test and the t test may or may not yield the same conclusion. 
C) The relationship between X and Y is represented by means of a straight line. 
D) The value of F = t2.

Question 10

Exhibit 14-6
For the following data the value of SSE = 0.4130.  
-Refer to Exhibit 14-6. The coefficient of determination (r2) equals

Accepted Answer

A) 0.7071 
B) -0.7071 
C) 0.5 
D) -0.5 
A) 0.7071 
B) -0.7071 
C) 0.5 
D) -0.5

Question 11

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

Accepted Answer

A) dependent variable 
B) independent variable 
C) intervening variable 
D) is usually x 
A) dependent variable 
B) independent variable 
C) intervening variable 
D) is usually x

Question 12

Given below are five observations collected in a regression study on two variables, x (independent variable) and y (dependent variable).   
a.Develop the least squares estimated regression equation.
b.At 95% confidence, perform a t test and determine whether or not the slope is significantly different from zero.
c.Perform an F test to determine whether or not the model is significant. Let $\alpha$ = 0.05.
d.Compute the coefficient of determination.
e.Compute the coefficient of correlation.

Accepted Answer

@#IMG-DLM& @#IMG-DLM& @#IMG-DLM& a. @#IMG-DLM& = 6 - 0.8 x
b

Question 13

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 b0 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 14

If the coefficient of correlation is 0.8, the percentage of variation in the dependent variable explained by the variation in the independent variable is

Accepted Answer

A) 0.80% 
B) 80% 
C) 0.64% 
D) 64% 
A) 0.80% 
B) 80% 
C) 0.64% 
D) 64%

Question 15

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

Question 16

Exhibit 14-10
The following information regarding a dependent variable Y and an independent variable X is provided.  
-Refer to Exhibit 14-10. The coefficient of determination is

Accepted Answer

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

Question 17

If all the points of a scatter diagram lie on the least squares regression line, then the coefficient of determination for these variables based on these data is

Accepted Answer

A) 0 
B) 1 
C) either 1 or -1, depending upon whether the relationship is positive or negative 
D) could be any value between -1 and 1 
A) 0 
B) 1 
C) either 1 or -1, depending upon whether the relationship is positive or negative 
D) could be any value between -1 and 1

Question 18

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 sample correlation coefficient equals

Accepted Answer

A) 0.8045 
B) -0.8045 
C) 0 
D) 1 
A) 0.8045 
B) -0.8045 
C) 0 
D) 1

Question 19

In a regression and correlation analysis if r2 = 1, then

Accepted Answer

A) SSE must also be equal to one 
B) SSE must be equal to zero 
C) SSE can be any positive value 
D) SSE must be negative 
A) SSE must also be equal to one 
B) SSE must be equal to zero 
C) SSE can be any positive value 
D) SSE must be negative

Question 20

In regression analysis, the model in the form   is called

Accepted Answer

A) regression equation 
B) correlation equation 
C) estimated regression equation 
D) regression model 
A) regression equation 
B) correlation equation 
C) estimated regression equation 
D) regression model

If only MSE is known, you can compute the

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 coefficient of determination equals

Regression analysis was applied between sales (in $10,000) and advertising (in $100) and the following regression function was obtained. = 50 + 8 X Based on the above estimated regression line if advertising is $1,000, then the point estimate for sales (in dollars) is

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

Exhibit 14-8 The following information regarding a dependent variable Y and an independent variable X is provided -Refer to Exhibit 14-8. The Y intercept is

In simple linear regression analysis, which of the following is not true?

Exhibit 14-6 For the following data the value of SSE = 0.4130. -Refer to Exhibit 14-6. The coefficient of determination (r²) equals

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

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 b₀ equals

If the coefficient of correlation is 0.8, the percentage of variation in the dependent variable explained by the variation in the independent variable is

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

If all the points of a scatter diagram lie on the least squares regression line, then the coefficient of determination for these variables based on these data is

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 sample correlation coefficient equals

In a regression and correlation analysis if r² = 1, then

In regression analysis, the model in the form is called

Data and Statistics

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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

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Exam 14: Simple Linear Regression

If only MSE is known, you can compute the

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 coefficient of determination equals

Regression analysis was applied between sales (in $10,000) and advertising (in $100) and the following regression function was obtained. = 50 + 8 X Based on the above estimated regression line if advertising is $1,000, then the point estimate for sales (in dollars) is

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

Exhibit 14-8 The following information regarding a dependent variable Y and an independent variable X is provided -Refer to Exhibit 14-8. The Y intercept is

In simple linear regression analysis, which of the following is not true?

Exhibit 14-6 For the following data the value of SSE = 0.4130. -Refer to Exhibit 14-6. The coefficient of determination (r2) equals

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

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 b0 equals

If the coefficient of correlation is 0.8, the percentage of variation in the dependent variable explained by the variation in the independent variable is

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

If all the points of a scatter diagram lie on the least squares regression line, then the coefficient of determination for these variables based on these data is

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 sample correlation coefficient equals

In a regression and correlation analysis if r2 = 1, then

In regression analysis, the model in the form is called

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

Exhibit 14-6 For the following data the value of SSE = 0.4130. -Refer to Exhibit 14-6. The coefficient of determination (r²) 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 b₀ equals

In a regression and correlation analysis if r² = 1, then