Question 1

What is the least squares regression line?

Accepted Answer

The answer of What is the least squares regression line?...

Question 2

If the correlation coefficient is greater than 0.5 then the coefficient of determination R2 from a simple regression model is greater than 0.25.

Accepted Answer

A) True 
 B)False

Question 3

The coefficient of determination is a statistical test of the fit of the linear regression.

Accepted Answer

A) True 
 B)False

Question 4

The residual is defined as the difference between the actual value of:

Accepted Answer

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

Question 5

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.  
-In a simple linear regression problem,which of the following table values would be appropriate for the mean of y given a 90% confidence interval and a sample size of 13?

Accepted Answer

A) 1.782 
B) 1.796 
C) 1.645 
D) 2.179 
A) 1.782 
B) 1.796 
C) 1.645 
D) 2.179

Question 6

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 regression sum of squares.

Accepted Answer

A) 691.038 
B) 1033.601 
C) 461.812 
D) 437.918 
A) 691.038 
B) 1033.601 
C) 461.812 
D) 437.918

Question 7

If the null H0 : p = 0 hypothesis is true and the random variables have a joint normal distribution,then the random variable   - which is used to test the hypothesis that there is no linear association in the population between a pair of random variables-follows the:

Accepted Answer

A) degenerate distribution. 
B) Student's t distribution. 
C) chi-square distribution. 
D) distribution. 
A) degenerate distribution. 
B) Student's t distribution. 
C) chi-square distribution. 
D) distribution.

Question 8

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  
-In a regression problem,a coefficient of determination 0.90 indicates that:

Accepted Answer

A) 90% of the y values are positive. 
B) 90% of the variation in y can be explained by the regression line. 
C) 90% of the x values are equal. 
D) 90% of the variation in x can be explained by the regression line. 
A) 90% of the y values are positive. 
B) 90% of the variation in y can be explained by the regression line. 
C) 90% of the x values are equal. 
D) 90% of the variation in x can be explained by the regression line.

Question 9

The y-intercept of the least squares regression line is:

Accepted Answer

A) 10.48 
B) 18.05 
C) 3.57 
D) 0.46 
A) 10.48 
B) 18.05 
C) 3.57 
D) 0.46

Question 10

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:   
,   
,   
,   
,  
-Compute the error sum of squares.

Accepted Answer

A) 116.399 
B) 458.962 
C) 712.082 
D) 688.188 
A) 116.399 
B) 458.962 
C) 712.082 
D) 688.188

Question 11

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:   
,   
,   
,   
,  
-What is the value of the coefficient of determination?

Accepted Answer

A) 0.637 
B) 0.575 
C) 0.601 
D) 0.664 
A) 0.637 
B) 0.575 
C) 0.601 
D) 0.664

Question 12

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.  
-If all the points on a scatter diagram lie on a straight line,what is the standard error of estimate?

Accepted Answer

A) -1 
B) +1 
C) 0 
D) ∞ 
A) -1 
B) +1 
C) 0 
D) ∞

Question 13

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.
-Compute the coefficients for a least squares regression equation and write the equation,given the following sample statistic:   
= 12;   
= 48;sx = 90;sy = 72;rxy = 0.45;n = 50

Accepted Answer

b₁ = r_x_y @#IMG-DLM& = (0.45) @#IMG-DLM& = 0.36 and

Question 14

The value of the coefficient of determination can never be larger than 1.0.

Accepted Answer

A) True 
 B)False

Question 15

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 approximate value of "F"?

Accepted Answer

A) 0.025 
B) 0.05 
C) 0.10 
D) 0.01 
A) 0.025 
B) 0.05 
C) 0.10 
D) 0.01

Question 16

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
Consider the following values of variables x and y:
  
-Perform a regression analysis on the data.

Accepted Answer

Regression Analysis
The regres

Question 17

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 value of the test statistic?

Accepted Answer

A) 3.669 
B) 2.756 
C) 2.787 
D) 6.785 
A) 3.669 
B) 2.756 
C) 2.787 
D) 6.785

Question 18

Compute the value of the coefficient of determination.

Accepted Answer

A) 3.47 
B) 2.67 
C) 0.80 
D) 0.63 
A) 3.47 
B) 2.67 
C) 0.80 
D) 0.63

Question 19

The purpose of correlation analysis is to find how strong the relationship is between two variables.

Accepted Answer

A) True 
 B)False

Question 20

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  
-Determine the regression coefficient of the y-intercept.

Accepted Answer

A) 112.4 
B) 102.3 
C) 108.6 
D) 105.5 
A) 112.4 
B) 102.3 
C) 108.6 
D) 105.5

What is the least squares regression line?

If the correlation coefficient is greater than 0.5 then the coefficient of determination R² from a simple regression model is greater than 0.25.

The coefficient of determination is a statistical test of the fit of the linear regression.

The residual is defined as the difference between the actual value of:

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 regression sum of squares.

If the null H₀ : p = 0 hypothesis is true and the random variables have a joint normal distribution,then the random variable - which is used to test the hypothesis that there is no linear association in the population between a pair of random variables-follows the:

The y-intercept of the least squares regression line is:

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: , , , , -Compute the error sum of squares.

The value of the coefficient of determination can never be larger than 1.0.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider the following values of variables x and y: -Perform a regression analysis on the data.

Compute the value of the coefficient of determination.

The purpose of correlation analysis is to find how strong the relationship is between two variables.

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

What is the least squares regression line?

If the correlation coefficient is greater than 0.5 then the coefficient of determination R2 from a simple regression model is greater than 0.25.

The coefficient of determination is a statistical test of the fit of the linear regression.

The residual is defined as the difference between the actual value of:

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 regression sum of squares.

If the null H0 : p = 0 hypothesis is true and the random variables have a joint normal distribution,then the random variable - which is used to test the hypothesis that there is no linear association in the population between a pair of random variables-follows the:

The y-intercept of the least squares regression line is:

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: , , , , -Compute the error sum of squares.

The value of the coefficient of determination can never be larger than 1.0.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider the following values of variables x and y: -Perform a regression analysis on the data.

Compute the value of the coefficient of determination.

The purpose of correlation analysis is to find how strong the relationship is between two variables.

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

If the correlation coefficient is greater than 0.5 then the coefficient of determination R² from a simple regression model is greater than 0.25.

If the null H₀ : p = 0 hypothesis is true and the random variables have a joint normal distribution,then the random variable - which is used to test the hypothesis that there is no linear association in the population between a pair of random variables-follows the: