标签：account sed 产生 validate 通过 reg water ati ror
1. Sum Of Squares Due To Error
对于第i个观察点, 真实数据的Yi与估算出来的Yi-head的之间的差称为第i个residual, SSE 就是所有观察点的residual的和
2. Total Sum Of Squares
3. Sum Of Squares Due To Regression
通过以上我们能得到以下关于他们三者的关系
决定系数: 判断 回归方程 的拟合程度
(coefficient of determination)决定系数也就是说: 通过回归方程得出的 dependent variable 有 number% 能被 independent variable 所解释. 判断拟合的程度
(Correlation coefficient) 相关系数 : 测试dependent variable 和 independent variable 他们之间的线性关系有多强. 也就是说, independent variable 产生变化时 dependent variable 的变化有多大.
可以反映是正相关还是负相关
参考链接：http://blog.csdn.net/ytdxyhz/article/details/51730995
注意此决定系数不能用来衡量非线性回归的拟合优度
Why Is It Impossible to Calculate a Valid R-squared for Nonlinear Regression?
R-squared is based on the underlying assumption that you are fitting a linear model. If you aren’t fitting a linear model, you shouldn’t use it. The reason why is actually very easy to understand.
For linear models, the sums of the squared errors always add up in a specific manner: SS Regression + SS Error = SS Total.
This seems quite logical. The variance that the regression model accounts for plus the error variance adds up to equal the total variance. Further, R-squared equals SS Regression / SS Total, which mathematically must produce a value between 0 and 100%.
In nonlinear regression, SS Regression + SS Error do not equal SS Total! This completely invalidates R-squared for nonlinear models, and it no longer has to be between 0 and 100%.
参考链接：http://blog.minitab.com/blog/adventures-in-statistics-2/why-is-there-no-r-squared-for-nonlinear-regression
线性回归之决定系数（coefficient of determination）
标签：account sed 产生 validate 通过 reg water ati ror
原文地址：http://www.cnblogs.com/guo-xiang/p/7295550.html
