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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Fraction of variance unexplained ： ウィキペディア英語版 Fraction of variance unexplained In statistics, the fraction of variance unexplained (FVU) in the context of a regression task is the fraction of variance of the regressand (dependent variable) ''Y'' which cannot be explained, i.e., which is not correctly predicted, by the explanatory variables ''X''. ==Formal definition== Suppose we are given a regression function ''ƒ'' yielding for each ''yi'', 1 ≤ ''i'' ≤ ''N'', an estimate $\backslash widehat\_i\; =\; f(x\_i)$ where $x\_i$ is the vector of the ''i''th observations on all the explanatory variables. We define the fraction of variance unexplained (FVU) as: :$\backslash begin$ \text & = } = /n} = } = 1-} \\() & = 1 - R^2, \end where ''R''2 is the coefficient of determination and ''VAR''err and ''VAR''tot are the variance of the estimated residuals and the sample variance of the dependent variable. ''SS''''err'' (the sum of squared predictions errors, equivalently the residual sum of squares), ''SS''''tot'' (the total sum of squares), and ''SS''''reg'' (the sum of squares of the regression, equivalently the explained sum of squares) are given by :$\backslash begin$ SS_ & = \sum_^N\;(y_i - \widehat)^2\\ SS_ & = \sum_^N\;(y_i-\bar)^2 \\ SS_ & = \sum_^N\;(\widehat-\bar)^2 \text \\ \bar & = \frac\sum Alternatively, the fraction of variance unexplained can be defined as follows: :$\backslash text\; =\; \backslash frac,$ where MSE(''f'') is the mean squared error of the regression function ''ƒ''. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Fraction of variance unexplained」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.