Multiple linear regression models with natural logarithmic transformations of variables
10.3760/cma.j.cn112150-20191030-00824
- VernacularTitle:变量自然对数转换的多重线性回归
- Author:
Shicheng YU
1
;
Qiqi WANG
;
Xiaojuan LONG
;
Yuehua HU
;
Junqi LI
;
Xianglong XIANG
;
Jiaxin SHI
Author Information
1. 中国疾病预防控制中心流行病学办公室，北京 102206
- Keywords:
Models, statistical;
Linear models;
Natural logarithm
- From:
Chinese Journal of Preventive Medicine
2020;54(4):451-456
- CountryChina
- Language:Chinese
-
Abstract:
In general, the application conditions of linear regression models could be met after the natural logarithmic transformation of data. From the practical perspective, this paper introduced the linear regression models with natural logarithmic transformation of independent variable, dependent variable, and both independent and dependent variables in detail. The paper illustrated why the equation and coefficients could not be directly explained after the natural logarithmic transformation of data. The percentage changes of X and/or Y were applied to elaborate the principle and method for the explanation of the equation and coefficients. Three examples were used to fit simple linear models with natural logarithmic transformation of independent, dependent, and both independent and dependent variables and the results of theses models were explained in detail.
