Jump to content

Coefficient of determination and correlation coefficient

DylsexicChciken
in Applied Mathematics

Featured Replies

For the topic of linear regression, my book says that the (coefficient of determination) = (correlation coefficient squared). But it doesn't explain why. So why is on equal to the square of the other when their formulas look completely different?

Edited by DylsexicChciken

If you substitute the equation of the linear regression line into the defining formula for the coefficient of determination and play with the algebra for about a page you arrive at the definition formula for the coefficient of correlation.

Archived

This topic is now archived and is closed to further replies.

Go to topic listing

Important Information

We have placed cookies on your device to help make this website better. You can adjust your cookie settings, otherwise we'll assume you're okay to continue.

Configure browser push notifications
Chrome (Android)
  1. Tap the lock icon next to the address bar.
  2. Tap Permissions → Notifications.
  3. Adjust your preference.
Chrome (Desktop)
  1. Click the padlock icon in the address bar.
  2. Select Site settings.
  3. Find Notifications and adjust your preference.