10,323
edits
Changes
Jump to navigation
Jump to search
Line 56:
Line 56: − + − + + +
Correlation and regression analysis (view source)
Revision as of 21:58, 7 January 2014
, 21:58, 7 January 2014no edit summary
Some important extensions of two-variable linear regression analysis of particular interest to geologists include the following:
Some important extensions of two-variable linear regression analysis of particular interest to geologists include the following:
* Fitting through the origin, or forcing the regression line through any fixed point
* Fitting through the origin, or forcing the regression line through any fixed point
* ''Regression in reverse, which consists of rewriting the regression of y-on-x as x'' = (y - b)/a
* Regression in reverse, which consists of rewriting the regression of y-on-x as
* ''Modeling nonlinear relationships, such as y'' = a + bx + cx<sup>2</sup>
:<math>x = \frac{(y - b)}{a}</math>
* ''Modeling nonlinear relationships, such as
:<math>\widehat{y} = a + bx + cx^2</math>
Various other functions of the x variable can be included in the previous relationship, such as polynomials and logarithms. Again, the regression parameters are determined so as to minimize the corresponding error variance.
Various other functions of the x variable can be included in the previous relationship, such as polynomials and logarithms. Again, the regression parameters are determined so as to minimize the corresponding error variance.