• Skip to main content
  • Skip to primary sidebar
  • Accounting
  • Banking
  • Business
  • Statistics
  • Economics
  • Finance
  • HR
  • Law
  • Marketing
business-jargons-site-logo

Business Jargons

A Business Encyclopedia

Coefficient of Determination

Definition: The Coefficient of determination is the square of the coefficient of correlation r2 which is calculated to interpret the value of the correlation. It is useful because it explains the level of variance in the dependent variable caused or explained by its relationship with the independent variable.

The coefficient of determination explains the proportion of the explained variation or the relative reduction in variance corresponding to the regression equation rather than about the mean of the dependent variable. For example, if the value of r = 0.8, then r2 will be 0.64, which means that 64% of the variation in the dependent variable is explained by the independent variable while 36% remains unexplained.

Thus, the coefficient of determination is the ratio of explained variance to the total variance that tells about the strength of linear association between the variables, say X and Y. The value of r2 lies between 0 and 1 and observes the following relationship with ‘r’.

  • With the decrease in the value of ‘r’ from its maximum value of 1, the ‘r2’ also decreases much more rapidly.
  • The value of ‘r’ will always be greater than ‘r2’ unless the r2 =0 or 1.

The coefficient of determination also explains that how well the regression line fits the statistical data. The closer the regression line to the points plotted on a scatter diagram, the more likely it explains all the variation and the farther the line from the points the lesser is the ability to explain the variance.

Related terms:

  1. Regression Analysis
  2. Properties of Regression Coefficient
  3. Regression Coefficient
  4. Karl Pearson’s Coefficient of Correlation
  5. Regression Line

Reader Interactions

Leave a Reply Cancel reply

Your email address will not be published. Required fields are marked *

Primary Sidebar

Top Searches

  • Communication Process
  • Planning
  • 7 C’s of Communication
  • Management
  • International Marketing
  • Business Strategy
  • Effective Communication
  • Insurance
  • Strategic Management
  • Selection Process

Trending Now

  • Group
  • Business
  • Accounting
  • Budget
  • Entrepreneurship
  • Journal
  • Leadership
  • Motivation
  • Communication
  • Stress

New Business Terms

  • Corporate Governance
  • Logistics Management
  • Dividend
  • Quorum
  • Corporate Veil
  • Trade Union
  • Warehouse
  • Mistake
  • Ratification
  • Void Agreement

Categories

  • Accounting
  • Banking
  • Business
  • Business Law
  • Business Statistics
  • Economics
  • Finance
  • HR
  • Marketing

Copyright © 2025 · Business Jargons · Contact Us · About Us · Privacy