最小二乘回归的奇异支点
Curious Pivot Points of Least-Squares Regression
摘要：
已经证明，对于平面上给定的一组点，当组中的任何一个点重复时，最小二乘回归线围绕不动点旋转。我们考虑当不止一个点重复时会发生什么。几何上，我们描述的区域中的枢轴点可能位于所有可能的组合的重复。这种旋转的基本框架进行了探讨，产生新的开放式的问题。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
