Question 1

The standard error of estimate   is given by:

Accepted Answer

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

Question 2

In regression analysis, the residuals represent the:

Accepted Answer

A)  difference between the actual y values and their predicted values. 
B)  difference between the actual x values and their predicted values. 
C)  square root of the slope of the regression line. 
D)  change in y per unit change in x. 
A)  difference between the actual y values and their predicted values. 
B)  difference between the actual x values and their predicted values. 
C)  square root of the slope of the regression line. 
D)  change in y per unit change in x.

Question 3

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.
  
-{Theatre Revenues Narrative} Determine the least squares regression line.

Accepted Answer

The answer of Theatre Revenues
A financier whose specialty is investing...

Question 4

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.
  
-{Accidents and Rain Narrative} Find the least squares regression line.

Accepted Answer

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

Question 5

Wayne Newton Concert
At a recent Wayne Newton 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:  
-{Oil Quality and Price Narrative} Estimate with 95% confidence the average oil price per barrel for an API degree of 35.

Accepted Answer

12.76 ± (2.201)(0.13

Question 6

The regression line   has been fitted to the data points (4, 8), (2, 5), and (1, 2).The sum of the squared residuals will be:

Accepted Answer

A)  7 
B)  15 
C)  8 
D)  22 
A)  7 
B)  15 
C)  8 
D)  22

Question 7

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.
  
-{Income and Education Narrative} Determine the least squares regression line.

Accepted Answer

The answer of Income and Education
A professor of economics wants...

Question 8

If all the points in a scatter diagram lie on the least squares regression line, then the coefficient of correlation must be:

Accepted Answer

A)  1.0 
B) -1.0 
C)  either 1.0 or -1.0 
D)  0.0 
A)  1.0 
B) -1.0 
C)  either 1.0 or -1.0 
D)  0.0

Question 9

The smallest value that the standard error of  can assume is:

Accepted Answer

A)  -1 
B)  0 
C)  1 
D)  -$\infty$ 
A)  -1 
B)  0 
C)  1 
D)  -$\infty$

Question 10

Marc Anthony Concert
At a recent Marc Anthony 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:  
-{Marc Anthony Concert Narrative} Does it appear that the errors are normally distributed? Explain.

Accepted Answer

The histogram is slightly posi

Question 11

Oil Quality and Price
Quality of oil is measured in API gravity degrees--the higher the degrees API, the higher the quality.The table shown below is produced by an expert in the field who believes that there is a relationship between quality and price per barrel.
   A partial Minitab output follows:
        
-{Oil Quality and Price Narrative} Draw a scatter diagram of the data.Comment on whether it appears that a linear model might be appropriate to describe the relationship between the quality of oil and price per barrel.

Accepted Answer

@#IMG-DLM& A linear model might be appro

Question 12

If the standard error of estimate is ____________________, this implies that the model's fit is poor.

Accepted Answer

The answer of If the standard error of estimate is...

Question 13

In order to predict with 80% confidence the expected value of y for a given value of x in a simple linear regression problem, a random sample of 15 observations is taken.Which of the following t-table values listed below would be used?

Accepted Answer

A)  1.350 
B)  1.771 
C)  2.160 
D)  2.650 
A)  1.350 
B)  1.771 
C)  2.160 
D)  2.650

Question 14

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.
  
-{Sales and Experience Narrative} Estimate the monthly sales for a salesperson with 16 years of experience.

Accepted Answer

The answer of Sales and Experience
The general manager of a...

Question 15

In a regression problem the following pairs of (x, y) are given: (3, 1), (3, -1), (3, 0), (3, -2) and (3, 2).That indicates that the:

Accepted Answer

A)  correlation coefficient is-1/2. 
B)  correlation coefficient is 0. 
C)  correlation coefficient is 1. 
D)  coefficient of determination is 3. 
A)  correlation coefficient is-1/2. 
B)  correlation coefficient is 0. 
C)  correlation coefficient is 1. 
D)  coefficient of determination is 3.

Question 16

Truck Speed and Gas Mileage
An economist wanted to analyze the relationship between the speed of a truck (x) and its gas mileage (y).As an experiment a truck is operated at several different speeds and for each speed the gas mileage is measured.These data are shown below.
  
-{Truck Speed and Gas Mileage Narrative} Predict with 99% confidence the gas mileage of a car traveling 55 mph.

Accepted Answer

31.234@#IMG-DLM& 1.284.Thus, L

Question 17

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   equals zero.

Accepted Answer

A) True 
 B)False

Question 18

In performing a regression analysis which of the following must be true about the distribution of the error variable?

Accepted Answer

A)  The distribution is normal with mean zero. 
B)  The errors associated with one y value are independent of errors associated with another y value. 
C)  The standard deviation is constant for each value of x. 
D)  All of these choices are true. 
A)  The distribution is normal with mean zero. 
B)  The errors associated with one y value are independent of errors associated with another y value. 
C)  The standard deviation is constant for each value of x. 
D)  All of these choices are true.

Question 19

Trivia Games & 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.
  
-{Trivia Games & Education Narrative} Draw a scatter diagram of the data.Comment on whether it appears that a linear model might be appropriate.

Accepted Answer

@#IMG-DLM& It appears that a l

Question 20

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.
  
-{Income and Education Narrative} Estimate the income of an individual with 15 years of education.

Accepted Answer

The answer of Income and Education
A professor of economics wants...

The standard error of estimate is given by:

In regression analysis, the residuals represent the:

The regression line has been fitted to the data points (4, 8), (2, 5), and (1, 2).The sum of the squared residuals will be:

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. -{Income and Education Narrative} Determine the least squares regression line.

If all the points in a scatter diagram lie on the least squares regression line, then the coefficient of correlation must be:

The smallest value that the standard error of estimatecan assume is:

If the standard error of estimate is ____________________, this implies that the model's fit is poor.

In order to predict with 80% confidence the expected value of y for a given value of x in a simple linear regression problem, a random sample of 15 observations is taken.Which of the following t-table values listed below would be used?

In a regression problem the following pairs of (x, y) are given: (3, 1), (3, -1), (3, 0), (3, -2) and (3, 2).That indicates that the:

In performing a regression analysis which of the following must be true about the distribution of the error variable?

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

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

Analysis of Variance

Chi-Squared Tests

Multiple Regression

Filters

Exam 16: Simple Linear Regression and Correlation

The standard error of estimate is given by:

In regression analysis, the residuals represent the:

The regression line has been fitted to the data points (4, 8), (2, 5), and (1, 2).The sum of the squared residuals will be:

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. -{Income and Education Narrative} Determine the least squares regression line.

If all the points in a scatter diagram lie on the least squares regression line, then the coefficient of correlation must be:

The smallest value that the standard error of estimatecan assume is:

If the standard error of estimate is ____________________, this implies that the model's fit is poor.

In order to predict with 80% confidence the expected value of y for a given value of x in a simple linear regression problem, a random sample of 15 observations is taken.Which of the following t-table values listed below would be used?

In a regression problem the following pairs of (x, y) are given: (3, 1), (3, -1), (3, 0), (3, -2) and (3, 2).That indicates that the:

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 equals zero.

In performing a regression analysis which of the following must be true about the distribution of the error variable?

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

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

Analysis of Variance

Chi-Squared Tests

Multiple Regression

Filters