论文标题
最小二乘回归的奇怪枢轴点
Curious Pivot Points of Least-Squares Regression
论文作者
论文摘要
已经表明，对于平面中的一组点，当重复集合中的任何点时，最小二乘回归线枢轴涉及固定点。我们考虑重复多个点时会发生什么。从几何上讲，我们描述了枢轴点可能位于重复的所有可能组合下的区域。探索了此枢纽的基本框架，从而产生了新的开放式问题。
It has been shown that for a given set of points in a plane, the least-squares regression line pivots about a fixed point when any single point in the set is repeated. We consider what happens when more than one point is repeated. Geometrically, we describe the regions where pivot points may lie under all possible combinations of repetitions. The underlying framework of this pivoting is explored, yielding new open-ended questions.
