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# About: Linear Regression and Correlation: Testing the Significance of the Correlation Coefficient

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

 Name: Linear Regression and Correlation: Testing the Significance of the Correlation Coefficient ID: m17077 Language: English (en) Summary: Linear Regression and Correlation: Testing the Significance of the Correlation Coefficient is a part of Collaborative Statistics collection (col10522) by Barbara Illowsky and Susan Dean. The title has been changed from Facts About the Correlation Coefficient for Linear Regression. Roberta Bloom has made major contributions to this module. Subject: Mathematics and Statistics Keywords: elementary, statistics License: Creative Commons Attribution License CC-BY 3.0 Authors: Copyright Holders: Maintainers: Latest version: 1.15 (history) First publication date: Jun 23, 2008 4:21 pm -0500 Last revision to module: Jun 26, 2012 5:14 pm -0500

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## Version History

 Version: 1.15 Jun 26, 2012 5:14 pm -0500 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 -0500 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 -0500 by Changes: `Linear Regression and Correlation: Testing the Significance of the Correlation Coefficient:Updated summary.` Version: 1.12 Jun 22, 2011 9:14 am -0500 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 -0500 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 -0500 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 -0600 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 -0600 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 -0600 by 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 -0500 by Changes: `roles updated` Version: 1.5 Jul 16, 2008 12:18 pm -0500 by Changes: `fixed math, images, and metadata` Version: 1.4 Jul 15, 2008 2:18 pm -0500 by Changes: `fixed images and metadata` Version: 1.3 Jul 7, 2008 5:50 pm -0500 by Changes: `post review updates` Version: 1.2 Jun 27, 2008 2:18 pm -0500 by Changes: `Images added` Version: 1.1 Jun 26, 2008 3:30 pm -0500 by Changes: `Initial publication`

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## How to Cite and Attribute This Content

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### American Chemical Society (ACS) Style Guide:

Dean, S.; Illowsky, B. Linear Regression and Correlation: Testing the Significance of the Correlation Coefficient, Connexions Web site. http://cnx.org/content/m17077/1.15/, Jun 26, 2012.

### American Medical Assocation (AMA) Manual of Style:

Dean S, Illowsky B. Linear Regression and Correlation: Testing the Significance of the Correlation Coefficient [Connexions Web site]. June 26, 2012. Available at: http://cnx.org/content/m17077/1.15/.

### American Psychological Assocation (APA) Publication Manual:

Dean, S., & Illowsky, B. (2012, June 26). Linear Regression and Correlation: Testing the Significance of the Correlation Coefficient. Retrieved from the Connexions Web site: http://cnx.org/content/m17077/1.15/

### Chicago Manual of Style (Bibliography):

Dean, Susan, and Barbara Illowsky. "Linear Regression and Correlation: Testing the Significance of the Correlation Coefficient." Connexions. June 26, 2012. http://cnx.org/content/m17077/1.15/.

### Chicago Manual of Style (Note):

Susan Dean and Barbara Illowsky, "Linear Regression and Correlation: Testing the Significance of the Correlation Coefficient," Connexions, June 26, 2012, http://cnx.org/content/m17077/1.15/.

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

Dean, S., & Illowsky, B. 2012. Linear Regression and Correlation: Testing the Significance of the Correlation Coefficient. Connexions, June 26, 2012. http://cnx.org/content/m17077/1.15/.

### Modern Languages Association (MLA) Style Manual:

Dean, Susan, and Barbara Illowsky. Linear Regression and Correlation: Testing the Significance of the Correlation Coefficient. Connexions. 26 June 2012 <http://cnx.org/content/m17077/1.15/>.