Question 1

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 2

A confidence interval estimate for the expected value of y will always be wider than the prediction interval for the same given value of x and the same confidence level.

Accepted Answer

A) True 
 B)False

Question 3

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.
  
-Estimate the game winnings for a contestant with 15 years of education.

Accepted Answer

The answer of Trivia Games & Education: An ardent fan...

Question 4

If the sum of squared residuals is zero, then the:

Accepted Answer

A)  coefficient of determination must be 1.0. 
B)  coefficient of correlation must be 1.0. 
C)  linear relationship between x and y is perfect. 
D)  All of these choices are true. 
A)  coefficient of determination must be 1.0. 
B)  coefficient of correlation must be 1.0. 
C)  linear relationship between x and y is perfect. 
D)  All of these choices are true.

Question 5

The method of least squares requires that the sum of the squared deviations between actual y values in the scatter diagram and y values predicted by the regression line be minimized.

Accepted Answer

A) True 
 B)False

Question 6

UV's and Skin Cancer: A medical statistician wanted to examine the relationship between the amount of UV's (x) and incidence of skin cancer (y). As an experiment he found the number of skin cancers detected per 100,000 of population and the average daily sunshine in eight states around the country. These data are shown below.
  
-What does the coefficient of correlation calculated tell you about the direction and strength of the relationship between the two variables?

Accepted Answer

There is a very stro

Question 7

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.
  
-What other variables might be associated with accidents, besides or along with rain?

Accepted Answer

Many possible answers. One maj

Question 8

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

Accepted Answer

s _@#LAT-DLM& = 1.4

Question 9

The deviations between the actual data points and the fitted values from the model are called ____________________.

Accepted Answer

The answer of The deviations between the actual data points...

Question 10

Graphically, a prediction interval is represented as two ____________________ lines.

Accepted Answer

The answer of Graphically, a prediction interval is represented as...

Question 11

The coefficient of ____________________ measures the amount of variation in the dependent variable that is explained by the variation in the independent variable.

Accepted Answer

The answer of The coefficient of ____________________ measures the amount...

Question 12

Given that   and n = 6, the standard error of estimate is:

Accepted Answer

A)  3,749.00 
B)  937.25 
C)  30.61 
D)  None of these choices. 
A)  3,749.00 
B)  937.25 
C)  30.61 
D)  None of these choices.

Question 13

If the coefficient of determination is 1.0, then the coefficient of correlation must be 1.0.

Accepted Answer

A) True 
 B)False

Question 14

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

Accepted Answer

s _@#LAT-DLM& = 59.

Question 15

When the actual values y of a dependent variable and the corresponding predicted values   are the same, the standard error of the estimate will be 1.0.

Accepted Answer

A) True 
 B)False

Question 16

A zero population correlation coefficient for x and y means that there is no type of relationship whatsoever between x and y.

Accepted Answer

A) True 
 B)False

Question 17

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.
  
-Predict with 95% confidence the monthly sales of a salesperson with 10 years of experience.

Accepted Answer

19.447 @#LAT-DLM& 3.819. Thus

Question 18

The regression line   has been fitted to the data points (4, 11), (2, 7), and (1, 5). The sum of squares for error will be 10.0.

Accepted Answer

A) True 
 B)False

Question 19

In regression analysis, you predict the value of one variable on the basis of one or more other related variables. The variable being predicted is called the ____________________ variable, and the related variables used to make the prediction are called ____________________ variables.

Accepted Answer

dependent;

Question 20

The objective of a regression model is to analyze the relationship between two variables, x and y, both of which must be based on ____________________ data.

Accepted Answer

The answer of The objective of a regression model is...

In regression analysis, the residuals represent the:

A confidence interval estimate for the expected value of y will always be wider than the prediction interval for the same given value of x and the same confidence level.

If the sum of squared residuals is zero, then the:

The method of least squares requires that the sum of the squared deviations between actual y values in the scatter diagram and y values predicted by the regression line be minimized.

The deviations between the actual data points and the fitted values from the model are called ____________________.

Graphically, a prediction interval is represented as two ____________________ lines.

The coefficient of ____________________ measures the amount of variation in the dependent variable that is explained by the variation in the independent variable.

Given that and n = 6, the standard error of estimate is:

If the coefficient of determination is 1.0, then the coefficient of correlation must be 1.0.

When the actual values y of a dependent variable and the corresponding predicted values are the same, the standard error of the estimate will be 1.0.

A zero population correlation coefficient for x and y means that there is no type of relationship whatsoever between x and y.

The regression line has been fitted to the data points (4, 11), (2, 7), and (1, 5). The sum of squares for error will be 10.0.

In regression analysis, you predict the value of one variable on the basis of one or more other related variables. The variable being predicted is called the variable, and the related variables used to make the prediction are called variables.

The objective of a regression model is to analyze the relationship between two variables, x and y, both of which must be based on ____________________ data.

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 regression analysis, the residuals represent the:

A confidence interval estimate for the expected value of y will always be wider than the prediction interval for the same given value of x and the same confidence level.

If the sum of squared residuals is zero, then the:

The method of least squares requires that the sum of the squared deviations between actual y values in the scatter diagram and y values predicted by the regression line be minimized.

The deviations between the actual data points and the fitted values from the model are called ____________________.

Graphically, a prediction interval is represented as two ____________________ lines.

The coefficient of ____________________ measures the amount of variation in the dependent variable that is explained by the variation in the independent variable.

Given that and n = 6, the standard error of estimate is:

If the coefficient of determination is 1.0, then the coefficient of correlation must be 1.0.

When the actual values y of a dependent variable and the corresponding predicted values are the same, the standard error of the estimate will be 1.0.

A zero population correlation coefficient for x and y means that there is no type of relationship whatsoever between x and y.

The regression line has been fitted to the data points (4, 11), (2, 7), and (1, 5). The sum of squares for error will be 10.0.

In regression analysis, you predict the value of one variable on the basis of one or more other related variables. The variable being predicted is called the ____________________ variable, and the related variables used to make the prediction are called ____________________ variables.

The objective of a regression model is to analyze the relationship between two variables, x and y, both of which must be based on ____________________ data.

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, you predict the value of one variable on the basis of one or more other related variables. The variable being predicted is called the variable, and the related variables used to make the prediction are called variables.