Question 1

Explain what is meant by the term least squares regression model.

Accepted Answer

When we look at a scatter plot,we see th

Question 2

In a simple linear regression analysis,if the test statistic for testing the significance of the regression slope coefficient is 3.6,the F ratio from the analysis of variance table is known to be 12.96.

Accepted Answer

A) True 
 B)False

Question 3

A research study has stated that the taxes paid by individuals is correlated at a .78 value with the age of the individual.Given this,the scatter plot would show points that would fall on straight line on a slope equal to .78.

Accepted Answer

A) True 
 B)False

Question 4

Consider the following partially completed computer printout for a regression analysis where the dependent variable is the price of a personal computer and the independent variable is the size of the hard drive.   Based on the information provided,which of the following statements is true if alpha = .05?

Accepted Answer

A) The slope is not significantly different from 0 because p = 0.84 is greater than 0.05. 
B) The slope is significantly different from 0 because p = 9.95 is greater than 0.05. 
C) The slope is not significantly different from 0 because p = 9.95 is greater than 0.05. 
D) The slope is significantly different from 0 because p = 9.95E-10 is less than 0.05. 
A) The slope is not significantly different from 0 because p = 0.84 is greater than 0.05. 
B) The slope is significantly different from 0 because p = 9.95 is greater than 0.05. 
C) The slope is not significantly different from 0 because p = 9.95 is greater than 0.05. 
D) The slope is significantly different from 0 because p = 9.95E-10 is less than 0.05.

Question 5

When constructing a scatter plot,the dependent variable is placed on the vertical axis and the independent variable is placed on the horizontal axis.

Accepted Answer

A) True 
 B)False

Question 6

A regression model that is deemed to have a regression slope coefficient that could be equal to zero should not be used for prediction since there is no established linear relationship between the x and y variable.

Accepted Answer

A) True 
 B)False

Question 7

In developing a simple linear regression model it is assumed that the distribution of error terms will be normally distributed for all levels of x.

Accepted Answer

A) True 
 B)False

Question 8

If two variables are related in a positive linear manner,the scatter plot will show points on the x,y space that are generally moving from the lower left to the upper right.

Accepted Answer

A) True 
 B)False

Question 9

When using regression analysis for descriptive purposes,which of the following is of importance?

Accepted Answer

A) The size of the regression slope coefficient 
B) The sign of the regression slope coefficient 
C) The standard error of the regression slope coefficient 
D) All of the above 
A) The size of the regression slope coefficient 
B) The sign of the regression slope coefficient 
C) The standard error of the regression slope coefficient 
D) All of the above

Question 10

A recent study by a major financial investment company was interested in determining whether the annual percentage change in stock price for companies is linearly related to the annual percent change in profits for the company.The following data was determined for 8 randomly selected companies:   Based upon this sample information,which of the following is the regression equation?

Accepted Answer

A)    = 4.19 + .61x 
B)    = 15.04 + 4.25x 
C)    = 1.19 - 3.00x 
D)    = 20.19 + .005x 
A)    = 4.19 + .61x 
B)    = 15.04 + 4.25x 
C)    = 1.19 - 3.00x 
D)    = 20.19 + .005x

Question 11

The term that is given when two variables are correlated but there is no apparent connection between them is:

Accepted Answer

A) spontaneous correlation. 
B) random correlation. 
C) spurious correlation. 
D) linear correlation. 
A) spontaneous correlation. 
B) random correlation. 
C) spurious correlation. 
D) linear correlation.

Question 12

If the population correlation between two variables is determined to be -0.70,which of the following is known to be true?

Accepted Answer

A) There is a positive linear relationship between the two variables. 
B) There is a fairly strong negative linear relationship between the two variables. 
C) An increase in one of the variables will cause the other variable to decline by 70 percent. 
D) The scatter diagram for the two variables will be upward sloping from left to right. 
A) There is a positive linear relationship between the two variables. 
B) There is a fairly strong negative linear relationship between the two variables. 
C) An increase in one of the variables will cause the other variable to decline by 70 percent. 
D) The scatter diagram for the two variables will be upward sloping from left to right.

Question 13

A scatter plot is useful for identifying a linear relationship between the independent and dependent variable,but it is not particularly useful if the relationship is curvilinear.

Accepted Answer

A) True 
 B)False

Question 14

If it is known that a simple linear regression model explains 56 percent of the variation in the dependent variable and that the slope on the regression equation is negative,then we also know that the correlation between x and y is approximately -0.75.

Accepted Answer

A) True 
 B)False

Question 15

Which of the following statements are incorrect?

Accepted Answer

A) A scatter plot showing two variables with a positive linear relationship will have all points on a straight line. 
B) The stronger the linear relationship between two variables,the closer the correlation coefficient will be to 1.0. 
C) Two variables that are uncorrelated with one another may still be related in a nonlinear manner. 
D) All of the above are correct. 
A) A scatter plot showing two variables with a positive linear relationship will have all points on a straight line. 
B) The stronger the linear relationship between two variables,the closer the correlation coefficient will be to 1.0. 
C) Two variables that are uncorrelated with one another may still be related in a nonlinear manner. 
D) All of the above are correct.

Question 16

If the correlation between the dependent variable and the independent variable is negative,the standard error of the regression slope coefficient in a simple linear regression model will also be negative.

Accepted Answer

A) True 
 B)False

Question 17

State University recently randomly sampled seven students and analyzed grade point average (GPA)and number of hours worked off-campus per week.The following data were observed:   The correlation between these two variables is approximately -.461.

Accepted Answer

A) True 
 B)False

Question 18

In a simple regression model,the slope coefficient represents the average change in the independent variable for a one-unit change in the dependent variable.

Accepted Answer

A) True 
 B)False

Question 19

In a study of 30 customers' utility bills in which the monthly bill was the dependent variable and the number of square feet in the house is the independent variable,the resulting regression model is   = 23.40 + 0.4x.Given this,the sample correlation coefficient is known to be positive.

Accepted Answer

A) True 
 B)False

Question 20

Given the data below,one ran the simple regression analysis of Y on X.   The relationship between Y and X is

Accepted Answer

A) significant at the alpha = 1 percent level. 
B) significant at the alpha = 5 percent level. 
C) significant at the alpha = 10 percent level. 
D) not significant at the alpha = 10 percent level. 
A) significant at the alpha = 1 percent level. 
B) significant at the alpha = 5 percent level. 
C) significant at the alpha = 10 percent level. 
D) not significant at the alpha = 10 percent level.

Explain what is meant by the term least squares regression model.

In a simple linear regression analysis,if the test statistic for testing the significance of the regression slope coefficient is 3.6,the F ratio from the analysis of variance table is known to be 12.96.

A research study has stated that the taxes paid by individuals is correlated at a .78 value with the age of the individual.Given this,the scatter plot would show points that would fall on straight line on a slope equal to .78.

When constructing a scatter plot,the dependent variable is placed on the vertical axis and the independent variable is placed on the horizontal axis.

A regression model that is deemed to have a regression slope coefficient that could be equal to zero should not be used for prediction since there is no established linear relationship between the x and y variable.

In developing a simple linear regression model it is assumed that the distribution of error terms will be normally distributed for all levels of x.

If two variables are related in a positive linear manner,the scatter plot will show points on the x,y space that are generally moving from the lower left to the upper right.

When using regression analysis for descriptive purposes,which of the following is of importance?

The term that is given when two variables are correlated but there is no apparent connection between them is:

If the population correlation between two variables is determined to be -0.70,which of the following is known to be true?

A scatter plot is useful for identifying a linear relationship between the independent and dependent variable,but it is not particularly useful if the relationship is curvilinear.

If it is known that a simple linear regression model explains 56 percent of the variation in the dependent variable and that the slope on the regression equation is negative,then we also know that the correlation between x and y is approximately -0.75.

Which of the following statements are incorrect?

If the correlation between the dependent variable and the independent variable is negative,the standard error of the regression slope coefficient in a simple linear regression model will also be negative.

State University recently randomly sampled seven students and analyzed grade point average (GPA)and number of hours worked off-campus per week.The following data were observed: The correlation between these two variables is approximately -.461.

In a simple regression model,the slope coefficient represents the average change in the independent variable for a one-unit change in the dependent variable.

In a study of 30 customers' utility bills in which the monthly bill was the dependent variable and the number of square feet in the house is the independent variable,the resulting regression model is = 23.40 + 0.4x.Given this,the sample correlation coefficient is known to be positive.

Given the data below,one ran the simple regression analysis of Y on X. The relationship between Y and X is

The Where, why, and How of Data Collection

Graphs,charts and Tablesdescribing Your Data

Describing Data Using Numerical Measures

Using Probability and Probability Distributions

Discrete Probability Distributions

Introduction to Continuous Probability Distributions

Introduction to Sampling Distributions

Estimating Single Population Parameters

Introduction to Hypothesis Testing

Estimation and Hypothesis Testing for Two Population Parameters

Hypothesis Tests and Estimation for Population Variances

Analysis of Variance

Goodness-Of-Fit Tests and Contingency Analysis

Multiple Regression Analysis and Model Building

Analyzing and Forecasting Time-Series Data

Introduction to Nonparametric Statistics

Introduction to Quality and Statistical Process Control

Introduction to Decision Analysis

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Exam 14: Introduction to Linear Regression and Correlation Analysis

Explain what is meant by the term least squares regression model.

In a simple linear regression analysis,if the test statistic for testing the significance of the regression slope coefficient is 3.6,the F ratio from the analysis of variance table is known to be 12.96.

A research study has stated that the taxes paid by individuals is correlated at a .78 value with the age of the individual.Given this,the scatter plot would show points that would fall on straight line on a slope equal to .78.

When constructing a scatter plot,the dependent variable is placed on the vertical axis and the independent variable is placed on the horizontal axis.

A regression model that is deemed to have a regression slope coefficient that could be equal to zero should not be used for prediction since there is no established linear relationship between the x and y variable.

In developing a simple linear regression model it is assumed that the distribution of error terms will be normally distributed for all levels of x.

If two variables are related in a positive linear manner,the scatter plot will show points on the x,y space that are generally moving from the lower left to the upper right.

When using regression analysis for descriptive purposes,which of the following is of importance?

The term that is given when two variables are correlated but there is no apparent connection between them is:

If the population correlation between two variables is determined to be -0.70,which of the following is known to be true?

A scatter plot is useful for identifying a linear relationship between the independent and dependent variable,but it is not particularly useful if the relationship is curvilinear.

If it is known that a simple linear regression model explains 56 percent of the variation in the dependent variable and that the slope on the regression equation is negative,then we also know that the correlation between x and y is approximately -0.75.

Which of the following statements are incorrect?

If the correlation between the dependent variable and the independent variable is negative,the standard error of the regression slope coefficient in a simple linear regression model will also be negative.

State University recently randomly sampled seven students and analyzed grade point average (GPA)and number of hours worked off-campus per week.The following data were observed: The correlation between these two variables is approximately -.461.

In a simple regression model,the slope coefficient represents the average change in the independent variable for a one-unit change in the dependent variable.

In a study of 30 customers' utility bills in which the monthly bill was the dependent variable and the number of square feet in the house is the independent variable,the resulting regression model is = 23.40 + 0.4x.Given this,the sample correlation coefficient is known to be positive.

Given the data below,one ran the simple regression analysis of Y on X. The relationship between Y and X is

The Where, why, and How of Data Collection

Graphs,charts and Tablesdescribing Your Data

Describing Data Using Numerical Measures

Using Probability and Probability Distributions

Discrete Probability Distributions

Introduction to Continuous Probability Distributions

Introduction to Sampling Distributions

Estimating Single Population Parameters

Introduction to Hypothesis Testing

Estimation and Hypothesis Testing for Two Population Parameters

Hypothesis Tests and Estimation for Population Variances

Analysis of Variance

Goodness-Of-Fit Tests and Contingency Analysis

Multiple Regression Analysis and Model Building

Analyzing and Forecasting Time-Series Data

Introduction to Nonparametric Statistics

Introduction to Quality and Statistical Process Control

Introduction to Decision Analysis

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