Division of Biostatistics and Bioinformatics, National Jewish Health, Denver, Colorado 80206, USA.
Adv Physiol Educ. 2011 Dec;35(4):347-52. doi: 10.1152/advan.00051.2011.
Learning about statistics is a lot like learning about science: the learning is more meaningful if you can actively explore. This seventh installment of Explorations in Statistics explores regression, a technique that estimates the nature of the relationship between two things for which we may only surmise a mechanistic or predictive connection. Regression helps us answer three questions: does some variable Y depend on another variable X; if so, what is the nature of the relationship between Y and X; and for some value of X, what value of Y do we predict? Residual plots are an essential component of a thorough regression analysis: they help us decide if our statistical regression model of the relationship between Y and X is appropriate.
如果能够积极探索,学习就会更有意义。本统计学探索系列的第七部分探讨了回归,这是一种估计我们可能只是推测其机械或预测关系的两个事物之间关系性质的技术。回归帮助我们回答三个问题:变量 Y 是否依赖于变量 X;如果是,Y 和 X 之间的关系性质是什么;对于 X 的某个值,我们预测 Y 的值是多少?残差图是彻底回归分析的重要组成部分:它们帮助我们确定我们的 Y 和 X 之间关系的统计回归模型是否合适。