Question 1

In the simple linear regression model, the y-intercept represents the:

Accepted Answer

A)  change in y per unit change in x. 
B)  change in x per unit change in y. 
C)  value of y when x = 0. 
D)  value of x when y = 0. 
A)  change in y per unit change in x. 
B)  change in x per unit change in y. 
C)  value of y when x = 0. 
D)  value of x when y = 0.

Question 2

Determine the standard error of estimate and describe what this statistic tells you.

Accepted Answer

s _@#LAT-DLM& = 0.1314. Since

Question 3

Car Speed and Gas Mileage: An economist wanted to analyze the relationship between the speed of a car (x) and its gas mileage (y). As an experiment a car is operated at several different speeds and for each speed the gas mileage is measured. These data are shown below.
  
-Calculate the Pearson coefficient of correlation.

Accepted Answer

The answer of Car Speed and Gas Mileage: An economist...

Question 4

The degrees of freedom for the test statistic for the slope is ____________________.

Accepted Answer

The answer of The degrees of freedom for the test...

Question 5

Game 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.
  
-Estimate with 95% confidence the average winnings of all contestants who have 10 years of education.

Accepted Answer

397.500@#LAT-DLM&106.141. Thus

Question 6

A regression analysis between sales (in $1,000) and advertising (in $1,000) resulted in the following least squares line:   . This implies that:

Accepted Answer

A)  as advertising increases by $1,000, sales increases by $5,000. 
B)  as advertising increases by $1,000, sales increases by $80,000. 
C)  as advertising increases by $5, sales increases by $80. 
D)  None of these choices. 
A)  as advertising increases by $1,000, sales increases by $5,000. 
B)  as advertising increases by $1,000, sales increases by $80,000. 
C)  as advertising increases by $5, sales increases by $80. 
D)  None of these choices.

Question 7

A prediction interval is used when we want to predict a one-time occurrence for a particular value of y when the independent variable is a given x value.

Accepted Answer

A) True 
 B)False

Question 8

In regression analysis, the coefficient of determination R2 measures the amount of variation in y that is:

Accepted Answer

A)  caused by the variation in x. 
B)  explained by the variation in x. 
C)  unexplained by the variation in x. 
D)  None of these choices. 
A)  caused by the variation in x. 
B)  explained by the variation in x. 
C)  unexplained by the variation in x. 
D)  None of these choices.

Question 9

In a simple linear regression model, testing whether the slope $\beta$1 of the population regression line could be zero is the same as testing whether or not the population coefficient of correlation $\rho$ equals zero.

Accepted Answer

A) True 
 B)False

Question 10

Truck Speed vs Gas Mileage: An economist wanted to analyze the relationship between the speed of a car (x) and its gas mileage (y). As an experiment a car is operated at several different speeds and for each speed the gas mileage is measured. These data are shown below.
  
-Determine the least squares regression line.

Accepted Answer

The answer of Truck Speed vs Gas Mileage: An economist...

Question 11

Which of the following statistics and procedures can be used to determine whether a linear model should be employed?

Accepted Answer

A)  The standard error of estimate. 
B)  The coefficient of determination. 
C)  The t-test of the slope. 
D)  All of these choices are true. 
A)  The standard error of estimate. 
B)  The coefficient of determination. 
C)  The t-test of the slope. 
D)  All of these choices are true.

Question 12

Suppose the slope of a simple linear regression line between hours studying and exam score is 5. That means as ____________________ increases by one, ____________________ increases by 5.

Accepted Answer

hours stud

Question 13

Truck Speed vs Gas Mileage: An economist wanted to analyze the relationship between the speed of a car (x) and its gas mileage (y). As an experiment a car is operated at several different speeds and for each speed the gas mileage is measured. These data are shown below.
  
-A scatter diagram includes the following data points:
   Two regression models are proposed: (1)   , and (2)   . Using the least squares method, which of these regression models provides the better fit to the data? Why?

Accepted Answer

SSE = 4.95 and 126.25 for mode

Question 14

Allman Brothers Concert: At a recent Allman Brothers concert, a survey was conducted that asked a random sample of 20 people their age and how many concerts they have attended since the first of the year. The following data were collected:
   An Excel output follows:  
-Plot the least squares regression line on the scatter diagram.

Accepted Answer

The answer of Allman Brothers Concert: At a recent Allman...

Question 15

If the standard error of estimate s $\varepsilon$  = 20 and n = 10, then the sum of squares for error, SSE, is:

Accepted Answer

A)  400 
B)  3,200 
C)  4,000 
D)  40,000 
A)  400 
B)  3,200 
C)  4,000 
D)  40,000

Question 16

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 coefficient of correlation 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&= 0 vs. H₁: @#LAT-DLM&@#LAT-DLM& 0

Question 17

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.
  
-Determine the standard error of estimate and describe what this statistic tells you about the regression line.

Accepted Answer

s _@#LAT-DLM& = 2.0

Question 18

Cost of Books: The editor of a major academic book publisher claims that a large part of the cost of books is the cost of paper. This implies that larger books will cost more money. As an experiment to analyze the claim, a university student visits the bookstore and records the number of pages and the selling price of twelve randomly selected books. These data are listed below.
  
-Determine the coefficient of determination and discuss what its value tells you.

Accepted Answer

R² = 0.9378, which means that 9

Question 19

The vertical spread of the data points about the regression line is measured by the y-intercept.

Accepted Answer

A) True 
 B)False

Question 20

Theatre Revenues: A financier whose specialty is investing in stage productions has observed that, in general, movies with "big-name" stars seem to generate more revenue than those plays 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 play for ten recently staged plays.
  
-Interpret the value of the slope of the regression line.

Accepted Answer

For each million dollars paid

In the simple linear regression model, the y-intercept represents the:

Determine the standard error of estimate and describe what this statistic tells you.

The degrees of freedom for the test statistic for the slope is ____________________.

A regression analysis between sales (in $1,000) and advertising (in $1,000) resulted in the following least squares line: . This implies that:

A prediction interval is used when we want to predict a one-time occurrence for a particular value of y when the independent variable is a given x value.

In regression analysis, the coefficient of determination R² measures the amount of variation in y that is:

In a simple linear regression model, testing whether the slope $\beta$ ₁ of the population regression line could be zero is the same as testing whether or not the population coefficient of correlation $\rho$ equals zero.

Which of the following statistics and procedures can be used to determine whether a linear model should be employed?

Suppose the slope of a simple linear regression line between hours studying and exam score is 5. That means as increases by one, increases by 5.

If the standard error of estimate s _{$\varepsilon$} = 20 and n = 10, then the sum of squares for error, SSE, is:

The vertical spread of the data points about the regression line is measured by the y-intercept.

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

Exam 16: Simple Linear Regression and Correlation

In the simple linear regression model, the y-intercept represents the:

Determine the standard error of estimate and describe what this statistic tells you.

The degrees of freedom for the test statistic for the slope is ____________________.

A regression analysis between sales (in $1,000) and advertising (in $1,000) resulted in the following least squares line: . This implies that:

A prediction interval is used when we want to predict a one-time occurrence for a particular value of y when the independent variable is a given x value.

In regression analysis, the coefficient of determination R2 measures the amount of variation in y that is:

In a simple linear regression model, testing whether the slope β\betaβ 1 of the population regression line could be zero is the same as testing whether or not the population coefficient of correlation ρ\rhoρ equals zero.

Which of the following statistics and procedures can be used to determine whether a linear model should be employed?

Suppose the slope of a simple linear regression line between hours studying and exam score is 5. That means as ____________________ increases by one, ____________________ increases by 5.

If the standard error of estimate s ε\varepsilonε = 20 and n = 10, then the sum of squares for error, SSE, is:

The vertical spread of the data points about the regression line is measured by the y-intercept.

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 regression analysis, the coefficient of determination R² measures the amount of variation in y that is:

In a simple linear regression model, testing whether the slope $\beta$ ₁ of the population regression line could be zero is the same as testing whether or not the population coefficient of correlation $\rho$ equals zero.

Suppose the slope of a simple linear regression line between hours studying and exam score is 5. That means as increases by one, increases by 5.

If the standard error of estimate s _{$\varepsilon$} = 20 and n = 10, then the sum of squares for error, SSE, is: