【摘要】 探讨了回归方程^y=a+bx中回归系数a,b的3种确定的方法,其中有2种只需初等数学知识.方法一是将偏差平方和展开分别写成系数a,b的二次函数,运用二次函数的极值理论来确定的;方法二是将偏差平方和展开并引入相关系数,用配方的方法来确定的;方法三是运用偏导数的理论来确定的.对一元线性回归方程中回归系数确定方法的研究,有助于回归方程内容的学习与应用.更多还原

【Abstract】 This article discusses three methods which to determine the regression coefficient a,b of regression equation =a+b.There are two ways in which only needs elementary mathematical knowledge.First is expansion the deviation square to a quadratic function with the coefficient a,b,using the extreme value theory of quadratic function to determine;Second is expansion the deviation square and lead into the correlation coefficient,using the distribution Method to determine;Third is using the theory of partial derivatives to determine.The research on determination the regression coefficient of regression equation,which is contribute to study and application.更多还原