On Minimizing the Standard Error of the Slope in Simple Linear Regression

• 作者: Steven M. Crunk Xinh Huynh
• 来源期刊: 统计学期刊(英文)
• 学科: 数学
• 关键词: MINIMIZATION Variance Coefficient BELIEFS about STATISTICS STATISTICAL LITERACY
• 年，卷（期）: tjxqkyw_2014,（3）
• 页码范围: 173-177
• 页数: 5页
• 分类号: O1

摘要

A common homework problem in texts covering calculus-based simple linear regression is to find a set of values of the independent variable which minimize the standard error of the estimated slope. All discussions the authors have heard regarding this problem, as well as all texts with which the authors of this paper are familiar and which include this problem, provide no solution, a partial solution, or an outline of a solution without theoretical proof and the provided solution is incorrect. Going back to first principles we provide the complete correct solution to this problem.