수학:오차_분석

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수학:오차_분석 [2018/07/10 15:33] – [예제] admin수학:오차_분석 [2018/11/09 09:57] – [선형 회귀 분석] admin
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 로 정의하면 계수 $a$와 $b$는 로 정의하면 계수 $a$와 $b$는
 $$a = \overline{Y} - b \overline{X}$$ $$a = \overline{Y} - b \overline{X}$$
-$$b = \frac{Cov(X,Y)}{Var(X)} = \frac{\sum_{i=1}^n (X_i-\overline{X}(Y_i-\overline{Y})}{\sum_{i=1}^n (X_i-\overline{X})^2}$$+$$b = \frac{Cov(X,Y)}{Var(X)} = \frac{\sum_{i=1}^n (X_i-\overline{X})(Y_i-\overline{Y})}{\sum_{i=1}^n (X_i-\overline{X})^2}$$
 로 결정된다. 나아가 로 결정된다. 나아가
 $$SS_x \equiv \sum_{i=1}^n (X_i-\overline{X})^2$$ $$SS_x \equiv \sum_{i=1}^n (X_i-\overline{X})^2$$
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   * Boas, //Mathematical Methods in the Physical Sciences// (Wiley, Hoboken, NJ, 2006).   * Boas, //Mathematical Methods in the Physical Sciences// (Wiley, Hoboken, NJ, 2006).
   * 박성현, 김성수, 강명욱, //회귀분석입문// (한국방송통신대학교출판부, 서울, 2008).   * 박성현, 김성수, 강명욱, //회귀분석입문// (한국방송통신대학교출판부, 서울, 2008).
 +  * https://www.che.udel.edu/pdf/FittingData.pdf
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