STATS:DATA+MODELS-W/DVD
STATS:DATA+MODELS-W/DVD
4th Edition
ISBN: 9780321986498
Author: DeVeaux
Publisher: PEARSON
bartleby

Concept explainers

bartleby

Videos

Question
Book Icon
Chapter 25, Problem 1E
To determine

Identify the conditions and assumption that must be satisfied before proceeding with the regression inference.

Check whether the assumptions are satisfied.

Expert Solution & Answer
Check Mark

Explanation of Solution

The given outputs show the regression model, the scatterplot for the data, the associated plots of residuals and histogram of residuals, for the graduate rates and acceptance rates in 2013.

Conditions of the regression analysis:

  • Straight line Condition: There should not be any bend in the original scatter plot of the data or in the plot of residuals against predicted values.
  • Independence assumption: The errors in the true regression model must be independent of each other.
  • Thickness Condition: The spread of the data around the generally straight relationship must be consistent for all values of x.
  • Nearly Normal Condition, Outlier Condition: The histogram must be symmetric and bell-shaped and the normal probability plot must be straight, with no outlier must be there.

Checking the condition of regression analysis:

  • Straight Enough Condition: There is no bend in the scatter plot of the data that is there is a linear relationship with equal spread about a regression line.
  • Independence assumption: The residual plot shows no pattern or structure and there are no striking outliers.
  • Thickness Condition: The spread of the residuals is consistent throughout the plot.
  • Nearly Normal Condition, Outlier Condition: The histogram of residual is symmetric and bell-shaped, with no outliers.

Thus, it can be concluded that the all the conditions for regression are satisfied.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Chapter 25 Solutions

STATS:DATA+MODELS-W/DVD

Knowledge Booster
Background pattern image
Statistics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Text book image
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Text book image
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Text book image
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Text book image
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
Text book image
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Text book image
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman
Correlation Vs Regression: Difference Between them with definition & Comparison Chart; Author: Key Differences;https://www.youtube.com/watch?v=Ou2QGSJVd0U;License: Standard YouTube License, CC-BY
Correlation and Regression: Concepts with Illustrative examples; Author: LEARN & APPLY : Lean and Six Sigma;https://www.youtube.com/watch?v=xTpHD5WLuoA;License: Standard YouTube License, CC-BY