# Regression surface

From Encyclopedia of Mathematics

*regression hypersurface*

The general geometric representation of a regression equation. If one is given random variables and

is the regression of with respect to , then the equation describes the corresponding regression hypersurface in an -dimensional space. When , a regression hypersurface is usually called a regression curve. These terms are sometimes used to emphasize that the corresponding regression equations are not linear. In the linear case, a regression hypersurface or curve is called a regression plane or line, respectively. See Regression.

**How to Cite This Entry:**

Regression surface.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Regression_surface&oldid=17160

This article was adapted from an original article by A.V. Prokhorov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article