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.
This article discusses three methods which to determine the regression coefficient a, b of regression equation y = a ＋ bx. 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.
出处
《沈阳师范大学学报（自然科学版）》
CAS
2008年第4期406-408,共3页
Journal of Shenyang Normal University:Natural Science Edition
关键词
回归方程
回归系数
确定
regressive equation
regressive coefficient
confirming
