Question 1

If the coefficient of correlation is -0.80,the coefficient of determination is -0.64.

Accepted Answer

A) True 
 B)False

Question 2

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Consider the following values of variables x and y:
  
-What does a scatter diagram tell you about the relationship between x and y using the given data points?

Accepted Answer

The relationship bet

Question 3

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A professor of statistics is interested in studying the relationship between the number of hours graduate students spent studying for his comprehensive final exam and the exam score.The results of the regression analysis of hours studied on exam scores are presented below.  
-Suppose that we are interested in exploring the determinants of successful high schools.One possible measure of success might be the percentage of students who go on to college.The teachers' union argues that there should be a relationship between the average teachers' salary and high school success.The following regression line is obtained: "% of students going on to college = 13 + 0.001(Average Teachers' Salary)." Which of the following statements is true with respect to the given scenario?

Accepted Answer

A) If the percentage of students going on to college increases by 0.001,we would expect the average teachers' salary to approximately increase by one dollar. 
B) If the percentage of students going on to college increases by 1,we would expect the average teachers' salary to approximately increase by 0.001 dollar. 
C) If the average teachers' salary increases by 0.001 dollar,we would expect the percentage of students going on to college to increase approximately by one percent. 
D) If the average teachers' salary increases by one dollar,we would expect the percentage of students going on to college to increase approximately by 0.001 percent. 
A) If the percentage of students going on to college increases by 0.001,we would expect the average teachers' salary to approximately increase by one dollar. 
B) If the percentage of students going on to college increases by 1,we would expect the average teachers' salary to approximately increase by 0.001 dollar. 
C) If the average teachers' salary increases by 0.001 dollar,we would expect the percentage of students going on to college to increase approximately by one percent. 
D) If the average teachers' salary increases by one dollar,we would expect the percentage of students going on to college to increase approximately by 0.001 percent.

Question 4

The value of the standard error of the slope coefficient is:

Accepted Answer

A) 1.34 
B) 0.45 
C) 0.13 
D) 2.67 
A) 1.34 
B) 0.45 
C) 0.13 
D) 2.67

Question 5

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A sample of 8 households was asked about their monthly income (x)and the number of hours they spend connected to the internet each month (y).The data yield the following statistics:   
,   
,   
,   
,  
-Determine the sample correlation coefficient between x and y.

Accepted Answer

A) 0.678 
B) 0.791 
C) 0.905 
D) 0.775 
A) 0.678 
B) 0.791 
C) 0.905 
D) 0.775

Question 6

The regression sum of squares represents the variability that is explained by the intercept of the regression equation.

Accepted Answer

A) True 
 B)False

Question 7

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Consider the following values of variables x and y:
  
-Create a normal probability plot of the residuals.

Accepted Answer

The answer of THE NEXT QUESTIONS ARE BASED ON THE...

Question 8

How would you best explain the y-intercept in this situation?

Accepted Answer

A) For each additional 1-year increase in the age of the driver,we would expect damage to increase by $10,726. 
B) For each additional 1-year increase in the age of the driver,we would expect damage to increase by $70. 
C) It makes no sense to explain the intercept in this situation,since we cannot have a driver with an age of zero. 
D) The average amount of damage was $10,726. 
A) For each additional 1-year increase in the age of the driver,we would expect damage to increase by $10,726. 
B) For each additional 1-year increase in the age of the driver,we would expect damage to increase by $70. 
C) It makes no sense to explain the intercept in this situation,since we cannot have a driver with an age of zero. 
D) The average amount of damage was $10,726.

Question 9

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
The following statistics are computed from a random sample of pairs of x and y observations:   
;RS1U1P12S1S1P0 = 0.84;n = 50
-Compute

Accepted Answer

The answer of THE NEXT QUESTIONS ARE BASED ON THE...

Question 10

One of the standard assumptions of the linear regression model is that the variance of the error terms is equal to one.

Accepted Answer

A) True 
 B)False

Question 11

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
The manager of a used-car dealership is very interested in the resale price of used cars.The manager feels that the age of the car is important in determining the resale value.He collects data on the age and resale value of 15 cars and runs a regression analysis with the value of the car (in thousands of dollars)as the dependent variable and the age of the car (in years)as the independent variable.Unfortunately,the printout had lost some of the results,identified by"A" through"F".The partial results left are displayed below.  
-What is the value of "B"?

Accepted Answer

A) 2.58 
B) 6.67 
C) 3.75 
D) 3.95 
A) 2.58 
B) 6.67 
C) 3.75 
D) 3.95

Question 12

When the predicted values of y and the actual values of y are the same value,the standard error of the estimate will be 1.0.

Accepted Answer

A) True 
 B)False

Question 13

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
For a random sample of 263 professionals,the correlation between their age and their income was found to be 0.17.You are interested in testing the null hypothesis that there is no linear relationship between these two variables against the alternative that there is a positive relationship.
-What is the most accurate statement that can be made about the p-value for this test?

Accepted Answer

A) p-value < 0.005 
B) p-value < 0.01 
C) p-value < 0.025 
D) p-value < 0.05 
A) p-value < 0.005 
B) p-value < 0.01 
C) p-value < 0.025 
D) p-value < 0.05

Question 14

Develop a 90% confidence interval for the population slope if the following regression information are given: b1= 23.5,p-value = 0.01,and n = 25.

Accepted Answer

A) 23.5 ± 17.35 
B) 23.5 ± 15.35 
C) 23.5 ± 16.35 
D) 23.5 ± 14.35 
A) 23.5 ± 17.35 
B) 23.5 ± 15.35 
C) 23.5 ± 16.35 
D) 23.5 ± 14.35

Question 15

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
You are interested in determining the relationship between x and y.You have the following information:
bS1U1B10S1U1B0= 117.4,bS1U1B11S1U1B0= -14.39,s   
= 0.18,s   
= 0.18,n = 300,   
= 4.3,SST = 17045,and SSE = 12053.
-Explain the difference between the residual ei and the model error εi.

Accepted Answer

While the true model error ε_i is the rand

Question 16

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
You want to explore the relationship between the scores students receive on their first quiz and their first exam.You believe that there is a positive correlation between the two scores.
-What are the most appropriate null and alternative hypotheses regarding the population correlation?

Accepted Answer

A) H0 : p = 0 and H1 : p ≠ 0 B) H0 : p = 0 and H1 : p 0 : p = 0 and H1 : p > 0 D) H0 : p = 0 and H1 : p < 1 A) H0 : p = 0 and H1 : p ≠ 0 B) H0 : p = 0 and H1 : p 0 : p = 0 and H1 : p > 0 D) H0 : p = 0 and H1 : p < 1

Question 17

In general,increasing the number of observations will lead to a higher coefficient of determination.

Accepted Answer

A) True 
 B)False

Question 18

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A sales manager is interested in determining the relationship between the amount spent on advertising and total sales.The manager collects data for the past 24 months and runs a regression of sales on advertising expenditures.The results are presented below but,unfortunately,some values identified by asterisks are missing.
SUMMARY OUTPUT  
-What are the degrees of freedom for residuals?

Accepted Answer

A) 21 
B) 22 
C) 23 
D) 24 
A) 21 
B) 22 
C) 23 
D) 24

Question 19

The residual and the model error are equivalent concepts.

Accepted Answer

A) True 
 B)False

Question 20

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
The data below are for the number of unemployed persons (in millions)and the federal unemployment insurance payments (in billions of dollars)for the years 1978-1985.Some economists state that these two variables are positively related.

-What is the standard error of estimate,and what role does it play in simple linear regression and correlation analysis?

Accepted Answer

The standard error of the estimate is a

If the coefficient of correlation is -0.80,the coefficient of determination is -0.64.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider the following values of variables x and y: -What does a scatter diagram tell you about the relationship between x and y using the given data points?

The value of the standard error of the slope coefficient is:

The regression sum of squares represents the variability that is explained by the intercept of the regression equation.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider the following values of variables x and y: -Create a normal probability plot of the residuals.

How would you best explain the y-intercept in this situation?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The following statistics are computed from a random sample of pairs of x and y observations: ;R² = 0.84;n = 50 -Compute

One of the standard assumptions of the linear regression model is that the variance of the error terms is equal to one.

When the predicted values of y and the actual values of y are the same value,the standard error of the estimate will be 1.0.

Develop a 90% confidence interval for the population slope if the following regression information are given: b₁= 23.5,p-value = 0.01,and n = 25.

In general,increasing the number of observations will lead to a higher coefficient of determination.

The residual and the model error are equivalent concepts.

Describing Data: Graphical

Describing Data: Numerical

Probability

Discrete Random Variables and Probability Distributions

Continuous Random Variables and Probability Distributions

Sampling and Sampling Distributions

Estimation: Single Population

Estimation: Additional Topics

Hypothesis Testing: Single Population

Hypothesis Testing: Additional Topics

Multiple Regression

Additional Topics in Regression Analysis

Analysis of Categorical Data

Analysis of Variance

Time-Series Analysis and Forecasting

Additional Topics in Sampling

Filters

Exam 11: Simple Regression

If the coefficient of correlation is -0.80,the coefficient of determination is -0.64.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider the following values of variables x and y: -What does a scatter diagram tell you about the relationship between x and y using the given data points?

The value of the standard error of the slope coefficient is:

The regression sum of squares represents the variability that is explained by the intercept of the regression equation.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider the following values of variables x and y: -Create a normal probability plot of the residuals.

How would you best explain the y-intercept in this situation?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The following statistics are computed from a random sample of pairs of x and y observations: ;R2 = 0.84;n = 50 -Compute

One of the standard assumptions of the linear regression model is that the variance of the error terms is equal to one.

When the predicted values of y and the actual values of y are the same value,the standard error of the estimate will be 1.0.

Develop a 90% confidence interval for the population slope if the following regression information are given: b1= 23.5,p-value = 0.01,and n = 25.

In general,increasing the number of observations will lead to a higher coefficient of determination.

The residual and the model error are equivalent concepts.

Describing Data: Graphical

Describing Data: Numerical

Probability

Discrete Random Variables and Probability Distributions

Continuous Random Variables and Probability Distributions

Sampling and Sampling Distributions

Estimation: Single Population

Estimation: Additional Topics

Hypothesis Testing: Single Population

Hypothesis Testing: Additional Topics

Multiple Regression

Additional Topics in Regression Analysis

Analysis of Categorical Data

Analysis of Variance

Time-Series Analysis and Forecasting

Additional Topics in Sampling

Filters

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The following statistics are computed from a random sample of pairs of x and y observations: ;R² = 0.84;n = 50 -Compute

Develop a 90% confidence interval for the population slope if the following regression information are given: b₁= 23.5,p-value = 0.01,and n = 25.