Question 1

Given the least squares regression line   , and a coefficient of determination of 0.81, the coefficient of correlation is:

Accepted Answer

A)  -0.66 
B)  0.81 
C)  -0.90 
D)  0.90 
A)  -0.66 
B)  0.81 
C)  -0.90 
D)  0.90

Question 2

Movie Revenues: A financier whose specialty is investing in movie productions has observed that, in general, movies with "big-name" stars seem to generate more revenue than those movies whose stars are less well known. To examine his belief he records the gross revenue and the payment (in $ millions) given to the two highest-paid performers in the movie for ten recently released movies.
  
-Estimate with 95% confidence the average gross revenue of a movie whose top two stars earn $5.0 million.

Accepted Answer

45.65 @#LAT-DLM&1.54. Thus, LC

Question 3

Sales and Experience: The general manager of a chain of department stores believes that experience is the most important factor in determining the level of success of a salesperson. To examine this belief she records last month's sales (in $1,000s) and the years of experience of 10 randomly selected salespeople. These data are listed below.
  
-Interpret the value of the slope of the regression line.

Accepted Answer

For each additional year of ex

Question 4

Income and Education: A professor of economics wants to study the relationship between income (y in $1000s) and education (x in years). A random sample eight individuals is taken and the results are shown below.
  
-Interpret the value of the slope of the regression line.

Accepted Answer

For each additional

Question 5

If the standard error of estimate is zero, then:

Accepted Answer

A)  the coefficient of determination must be 1.0. 
B)  all the points fall on the regression line. 
C)  there is no unexplained variation left. 
D)  All of these choices are true. 
A)  the coefficient of determination must be 1.0. 
B)  all the points fall on the regression line. 
C)  there is no unexplained variation left. 
D)  All of these choices are true.

Question 6

Game Show Winnings & Education: An ardent fan of television game shows has observed that, in general, the more educated the contestant, the less money he or she wins. To test her belief she gathers data about the last eight winners of her favorite game show. She records their winnings in dollars and the number of years of education. The results are as follows.
  
-Conduct a test of the population slope to determine at the 5% significance level whether a negative linear relationship exists between years of education and TV game shows' winnings.

Accepted Answer

H₀: @#LAT-DLM&₁ = 0 vs. H

Question 7

In simple linear regression, the coefficient of correlation r and the least squares estimate b1 of the population slope $\beta$1:

Accepted Answer

A)  must be equal. 
B)  must have the same sign. 
C)  are not related. 
D)  None of these choices. 
A)  must be equal. 
B)  must have the same sign. 
C)  are not related. 
D)  None of these choices.

Question 8

Given that the sum of squares for error is 60 and the sum of squares for regression is 140, then the coefficient of determination is:

Accepted Answer

A)  0.429 
B)  0.300 
C)  0.700 
D)  None of these choices. 
A)  0.429 
B)  0.300 
C)  0.700 
D)  None of these choices.

Question 9

Rock Concert Revenues: A financier whose specialty is investing in rock concerts has observed that, in general, concerts with "big-name" stars seem to generate more revenue than those concerts whose stars are less well known. To examine his belief he records the gross revenue and the payment (in $ millions) given to the two highest-paid performers in the concert for ten concert tours.
  
-Conduct a test of the population slope to determine at the 5% significance level whether a positive linear relationship exists between payment to the two highest-paid performers and gross revenue.

Accepted Answer

H₀: @#LAT-DLM&₁ = 0 vs. H

Question 10

The residual is defined as the difference between:

Accepted Answer

A)  the actual value of y and the estimated value of y 
B)  the actual value of x and the estimated value of x 
C)  the actual value of y and the estimated value of x 
D)  the actual value of x and the estimated value of y 
A)  the actual value of y and the estimated value of y 
B)  the actual value of x and the estimated value of x 
C)  the actual value of y and the estimated value of x 
D)  the actual value of x and the estimated value of y

Question 11

In simple linear regression, the denominator of the standard error of estimate s $\varepsilon$ is   .

Accepted Answer

A) True 
 B)False

Question 12

The residuals are observations of the error variable $\varepsilon$. Consequently, the minimized sum of squared deviations is called the sum of squares for error, denoted SSE.

Accepted Answer

A) True 
 B)False

Question 13

Sales and Experience: The general manager of a chain of department stores believes that experience is the most important factor in determining the level of success of a salesperson. To examine this belief she records last month's sales (in $1,000s) and the years of experience of 10 randomly selected salespeople. These data are listed below.
  
-Do the tests of $\rho$ and $\beta$1 in the previous two questions provide the same results? Explain.

Accepted Answer

Yes; both tests have the same

Question 14

You use a(n) ____________________ interval whenever you want to estimate a one-time occurrence for a particular value of y when x is a given value.

Accepted Answer

The answer of You use a(n) ____________________ interval whenever you...

Question 15

The Pearson coefficient of correlation r equals one when there is no:

Accepted Answer

A)  linear relationship between x and y. 
B)  unexplained variation. 
C)  y-intercept in the model. 
D)  slope in the model. 
A)  linear relationship between x and y. 
B)  unexplained variation. 
C)  y-intercept in the model. 
D)  slope in the model.

Question 16

A store manager gives a pre-employment examination to new employees. The test is scored from 1 to 100. He has data on their sales at the end of one year measured in dollars. He wants to know if there is any linear relationship between pre-employment examination score and sales. An appropriate test to use is the t-test of the population correlation coefficient.

Accepted Answer

A) True 
 B)False

Question 17

Accidents and Rain
A statistician investigating the relationship between the amount of rain (in inches) and the number of automobile accidents gathered data on accidents in her city for 10 randomly selected days throughout the year. The results are shown below.
  
-Find the least squares regression line.

Accepted Answer

The answer of Accidents and Rain
A statistician investigating the relationship...

Question 18

In simple linear regression, which of the following statements indicates there is no linear relationship between the variables x and y?

Accepted Answer

A)  Coefficient of determination is -1.0. 
B)  Coefficient of correlation is 0.0. 
C)  Sum of squares for error is 0.0. 
D)  None of these choices. 
A)  Coefficient of determination is -1.0. 
B)  Coefficient of correlation is 0.0. 
C)  Sum of squares for error is 0.0. 
D)  None of these choices.

Question 19

In a simple linear regression problem, the least squares line is   , and the coefficient of determination is 0.81. The coefficient of correlation must be -0.90.

Accepted Answer

A) True 
 B)False

Question 20

The value of the sum of squares for regression SSR can never be larger than the value of total sum of squares SST.

Accepted Answer

A) True 
 B)False

Given the least squares regression line , and a coefficient of determination of 0.81, the coefficient of correlation is:

Income and Education: A professor of economics wants to study the relationship between income (y in $1000s) and education (x in years). A random sample eight individuals is taken and the results are shown below. -Interpret the value of the slope of the regression line.

If the standard error of estimate is zero, then:

In simple linear regression, the coefficient of correlation r and the least squares estimate b₁ of the population slope $\beta$ ₁:

Given that the sum of squares for error is 60 and the sum of squares for regression is 140, then the coefficient of determination is:

The residual is defined as the difference between:

In simple linear regression, the denominator of the standard error of estimate s _{$\varepsilon$} is $In simple linear regression, the denominator of the standard error of estimate s <sub> \varepsilon </sub> is .$ .

The residuals are observations of the error variable $\varepsilon$ . Consequently, the minimized sum of squared deviations is called the sum of squares for error, denoted SSE.

You use a(n) ____________________ interval whenever you want to estimate a one-time occurrence for a particular value of y when x is a given value.

The Pearson coefficient of correlation r equals one when there is no:

In simple linear regression, which of the following statements indicates there is no linear relationship between the variables x and y?

In a simple linear regression problem, the least squares line is , and the coefficient of determination is 0.81. The coefficient of correlation must be -0.90.

The value of the sum of squares for regression SSR can never be larger than the value of total sum of squares SST.

What Is Statistics

Graphical and Tabular Descriptive Techniques

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populations, Part 1

Inference About Comparing Two Populations, Part 2

Analysis of Variance

Chi-Squared Tests

Multiple Regression

Review of Statistical Inference

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Exam 16: Simple Linear Regression and Correlation

Given the least squares regression line , and a coefficient of determination of 0.81, the coefficient of correlation is:

Income and Education: A professor of economics wants to study the relationship between income (y in $1000s) and education (x in years). A random sample eight individuals is taken and the results are shown below. -Interpret the value of the slope of the regression line.

If the standard error of estimate is zero, then:

In simple linear regression, the coefficient of correlation r and the least squares estimate b1 of the population slope β\betaβ 1:

Given that the sum of squares for error is 60 and the sum of squares for regression is 140, then the coefficient of determination is:

The residual is defined as the difference between:

In simple linear regression, the denominator of the standard error of estimate s ε\varepsilonε is .

The residuals are observations of the error variable ε\varepsilonε . Consequently, the minimized sum of squared deviations is called the sum of squares for error, denoted SSE.

You use a(n) ____________________ interval whenever you want to estimate a one-time occurrence for a particular value of y when x is a given value.

The Pearson coefficient of correlation r equals one when there is no:

In simple linear regression, which of the following statements indicates there is no linear relationship between the variables x and y?

In a simple linear regression problem, the least squares line is , and the coefficient of determination is 0.81. The coefficient of correlation must be -0.90.

The value of the sum of squares for regression SSR can never be larger than the value of total sum of squares SST.

What Is Statistics

Graphical and Tabular Descriptive Techniques

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populations, Part 1

Inference About Comparing Two Populations, Part 2

Analysis of Variance

Chi-Squared Tests

Multiple Regression

Review of Statistical Inference

Filters

In simple linear regression, the coefficient of correlation r and the least squares estimate b₁ of the population slope $\beta$ ₁:

In simple linear regression, the denominator of the standard error of estimate s _{$\varepsilon$} is $In simple linear regression, the denominator of the standard error of estimate s <sub> \varepsilon </sub> is .$ .

The residuals are observations of the error variable $\varepsilon$ . Consequently, the minimized sum of squared deviations is called the sum of squares for error, denoted SSE.