V2EX multiple regression

Multiple Regression

定义 Definition

多元回归(multiple regression):一种统计建模方法,用两个或以上自变量(预测变量)来解释或预测一个因变量(结果变量),从而估计各自变量与因变量之间的关系(通常在控制其他变量不变的条件下)。常见形式是多元线性回归;也存在逻辑回归等更广义的“回归”模型。

发音 Pronunciation (IPA)

/mltpl rrn/

例句 Examples

Multiple regression helps us predict house prices using size, location, and age.
多元回归可以用面积、位置和房龄来预测房价。

After controlling for income and education, the multiple regression showed a small but significant effect of sleep on test scores.
在控制收入和受教育程度后,多元回归显示睡眠对考试成绩有一个虽小但显著的影响。

词源 Etymology

multiple 来自拉丁语 multiplex(“多重的、复合的”);regression 在统计学中源于 19 世纪末(与高尔顿 Galton 关于“回归到平均值”的研究相关),“regression”字面含义有“回返”,在统计里逐渐固定为用变量关系来进行估计与预测的“回归分析”。“multiple reression”因此直观表示“包含多个解释变量的回归”。

相关词 Related Words

文学与经典著作中的用例 Literary Works

  • Applied Regression Analysis(Draper & Smith)
  • Introductory Econometrics: A Modern Approach(Wooldridge)
  • The Elements of Statistical Learning(Hastie, Tibshirani & Friedman)
  • Regression Analysis by Example(Chatterjee & Hadi)
  • Multiple Regression and Beyond(Cohen et al.)
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