OpenStax CNX

Sections
You are here: Home » Content » Linear Regression and Correlation: Facts About the Correlation Coefficient for Linear Regression

About: Linear Regression and Correlation: Facts About the Correlation Coefficient for Linear Regression

Module by: Susan Dean, Barbara Illowsky, Ph.D.. E-mail the authors

View the content: Linear Regression and Correlation: Facts About the Correlation Coefficient for Linear Regression

Metadata

Name: Linear Regression and Correlation: Facts About the Correlation Coefficient for Linear Regression
ID: m17077
Language: English (en)
Summary: This module provides an overview of Facts About the Correlation Coefficient for Linear Regression as a part of Collaborative Statistics collection (col10522) by Barbara Illowsky and Susan Dean.
Subject: Mathematics and Statistics
Keywords: elementary, statistics
Document Type: -//CNX//DTD CNXML 0.5 plus MathML//EN
License: Creative Commons Attribution License CC-BY 2.0

Authors: Susan Dean (susanldean45@gmail.com), Barbara Illowsky, Ph.D. (illowskybarbara@deanza.edu)
Copyright Holders: Maxfield Foundation (cnx@cnx.org)
Maintainers: Susan Dean (susanldean45@gmail.com), Barbara Illowsky, Ph.D. (illowskybarbara@deanza.edu), Connexions (cnx@cnx.org)

Latest version: 1.7 (history)
First publication date: Jun 23, 2008 4:21 pm +0000
Last revision to module: Jan 17, 2009 2:43 pm +0000

Downloads

PDF: m17077_1.7.pdf PDF file, for viewing content offline and printing. Learn more.
XML: m17077_1.7.cnxml XML that defines the structure and contents of the module, minus any included media files. Can be reimported in the editing interface. Learn more.

Version History

Version: 1.15 Jun 26, 2012 5:14 pm +0000 by Susan Dean
Changes:
Linear Regression and Correlation: Testing the Significance of the Correlation Coefficient: Corrected conclusions.  Updated formatting and language.

Version: 1.14 Jul 9, 2011 12:45 pm +0000 by Susan Dean
Changes:
Linear Regression and Correlation: Testing the Significance of the Correlation Coefficient: Corrected one typo.

Version: 1.13 Jun 22, 2011 12:58 pm +0000 by Susan Dean
Changes:
Linear Regression and Correlation: Testing the Significance of the Correlation Coefficient:Updated summary.

Version: 1.12 Jun 22, 2011 9:14 am +0000 by Susan Dean
Changes:
Linear Regression and Correlation: Testing the Significance of the Correlation Coefficient: In Assumptions, minor correction.

Version: 1.11 Jun 22, 2011 12:29 am +0000 by Susan Dean
Changes:
Linear Regression and Correlation: Testing the Significance of the Correlation Coefficient: Changed name from "Facts about the Correlation Coefficient." Includes a hypothesis test that tests whether r is significant or not.

Version: 1.10 Jun 22, 2011 12:08 am +0000 by Susan Dean
Changes:
Linear Regression and Correlation: Testing the Significance of the Correlation Coefficient: Added the hypothesis test to determine whether r is significant or not.

Version: 1.9 Feb 25, 2010 12:33 am +0000 by Susan Dean
Changes:
Regression and Correlation: Facts About the Correlation Coefficient for Linear Regression:  Changed (regression) line to (regression line).

Version: 1.8 Feb 24, 2010 5:55 pm +0000 by Susan Dean
Changes:
 Linear Regression and Correlation: Facts About the Correlation Coefficient for Linear Regression:  Added information about the Coefficient of Determination.

Version: 1.7 Jan 17, 2009 2:43 pm +0000 by Susan Dean Currently viewing this version.
Changes:
Linear Regression and Correlation: Facts About the Correlation Coefficient for Linear Regression:  For clarity, changed the NOTE that occurs in the section into four sentences so that the sentence that follows ("Can the line be used for prediction?") makes more sense. 

Version: 1.6 Oct 27, 2008 6:37 pm +0000 by James Cooper
Changes:
roles updated

Version: 1.5 Jul 16, 2008 12:18 pm +0000 by Connexions
Changes:
fixed math, images, and metadata

Version: 1.4 Jul 15, 2008 2:18 pm +0000 by Connexions
Changes:
fixed images and metadata

Version: 1.3 Jul 7, 2008 5:50 pm +0000 by Connexions
Changes:
post review updates

Version: 1.2 Jun 27, 2008 2:18 pm +0000 by Connexions
Changes:
Images added

Version: 1.1 Jun 26, 2008 3:30 pm +0000 by Connexions
Changes:
Initial publication

How to Reuse and Attribute This Content

If you derive a copy of this content using a OpenStax_CNX account and publish your version, proper attribution of the original work will be automatically done for you.

If you reuse this work elsewhere, in order to comply with the attribution requirements of the license (CC-BY 2.0), you must include

  • the authors' names: Susan Dean, Barbara Illowsky
  • the title of the work: Linear Regression and Correlation: Facts About the Correlation Coefficient for Linear Regression
  • the OpenStax_CNX URL where the work can be found: http://cnx.org/content/m17077/1.7/

See the citation section below for examples you can copy.

How to Cite and Attribute This Content

The following citation styles comply with the attribution requirements for the license (CC-BY 2.0) of this work:

American Chemical Society (ACS) Style Guide:

Dean, S.; Illowsky, B. Linear Regression and Correlation: Facts About the Correlation Coefficient for Linear Regression, OpenStax_CNX Web site. http://cnx.org/content/m17077/1.7/, Jan 17, 2009.

American Medical Assocation (AMA) Manual of Style:

Dean S, Illowsky B. Linear Regression and Correlation: Facts About the Correlation Coefficient for Linear Regression [OpenStax_CNX Web site]. January 17, 2009. Available at: http://cnx.org/content/m17077/1.7/.

American Psychological Assocation (APA) Publication Manual:

Dean, S., & Illowsky, B. (2009, January 17). Linear Regression and Correlation: Facts About the Correlation Coefficient for Linear Regression. Retrieved from the OpenStax_CNX Web site: http://cnx.org/content/m17077/1.7/

Chicago Manual of Style (Bibliography):

Dean, Susan, and Barbara Illowsky. "Linear Regression and Correlation: Facts About the Correlation Coefficient for Linear Regression." OpenStax_CNX. January 17, 2009. http://cnx.org/content/m17077/1.7/.

Chicago Manual of Style (Note):

Susan Dean and Barbara Illowsky, "Linear Regression and Correlation: Facts About the Correlation Coefficient for Linear Regression," OpenStax_CNX, January 17, 2009, http://cnx.org/content/m17077/1.7/.

Chicago Manual of Style (Reference, in Author-Date style):

Dean, S., & Illowsky, B. 2009. Linear Regression and Correlation: Facts About the Correlation Coefficient for Linear Regression. OpenStax_CNX, January 17, 2009. http://cnx.org/content/m17077/1.7/.

Modern Languages Association (MLA) Style Manual:

Dean, Susan, and Barbara Illowsky. Linear Regression and Correlation: Facts About the Correlation Coefficient for Linear Regression. OpenStax_CNX. 17 Jan. 2009 <http://cnx.org/content/m17077/1.7/>.