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# 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

 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: Copyright Holders: Maintainers: 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

 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 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 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 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 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 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 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 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 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 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 Changes: `roles updated` Version: 1.5 Jul 16, 2008 12:18 pm +0000 by Changes: `fixed math, images, and metadata` Version: 1.4 Jul 15, 2008 2:18 pm +0000 by Changes: `fixed images and metadata` Version: 1.3 Jul 7, 2008 5:50 pm +0000 by Changes: `post review updates` Version: 1.2 Jun 27, 2008 2:18 pm +0000 by Changes: `Images added` Version: 1.1 Jun 26, 2008 3:30 pm +0000 by Changes: `Initial publication`

## How to Reuse and Attribute This Content

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## 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/>.