In Section 3.1, we start by examining the important issue of deciding whether the model under consideration is indeed valid. In Section 3.2 , we will see that when we use a regression model we implicitly make a series of assumptions. We then consider a series of tools known as regression diagnostics to check each assumption. Having used these tools to diagnose potential problems with the assumptions, we look at how to first identify and then overcome or deal with a common problem, namely, nonconstant error variance.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsNotes
- 1.
Standardized residuals will be defined later in this section.
- 2.
- 3.
According to the Web of Science, the Box and Cox (1964) paper has been cited more than 3000 times as of January 25, 2007.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
Sheather, S.J. (2009). Diagnostics and Transformations for Simple Linear Regression. In: A Modern Approach to Regression with R. Springer Texts in Statistics. Springer, New York, NY. https://doi.org/10.1007/978-0-387-09608-7_3
Download citation
DOI: https://doi.org/10.1007/978-0-387-09608-7_3
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-09607-0
Online ISBN: 978-0-387-09608-7
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)