1、迴歸分析與變異數分析概論洪弘祈朝陽科技大學工業工程與管理系副教授1Regression Analysis & ANOVA 參數之最小均方差估計式 誤差估計 迴歸分析之假設檢定 迴歸分析之信賴區間 預測 模式之適合度檢定大綱2Regression Analysis & ANOVA定義n Regressn The act of reasoning backwardn Regressionn A functional relationship between two or more correlated variables that is often empirically determined f
2、rom data and is used esp. to predict values of one variable when given values of the others.3Regression Analysis & ANOVA4Regression Analysis & ANOVAXY散佈圖5Regression Analysis & ANOVA linear model (equation) probabilistic linear model simple linear regression model regression coefficients6Regression A
3、nalysis & ANOVA multiple regression model multiple linear regression model intercept partial regression coefficients contour plot7Regression Analysis & ANOVA dependent variable or response y may be related to k independent or regressor variables interaction any regression model that is linear in parameters (the bs) is a linear regression model, regardless of the shape of the surface that it generates.8Regression Analysis & ANOVA9Regression Analysis & ANOVA模式參數之最小均方差估計式簡單線性迴歸10Regression Analysis & ANOVA