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
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