Regression

Posted 2021-11-30 lightsong

Regression

https://www.merriam-webster.com/dictionary/regress

Definition of regress

 (Entry 1 of 2)

1a : an act or the privilege of going or coming back

b : reentry sense 1

2 : movement backward to a previous and especially worse or more primitive state or condition

3 : the act of reasoning backward

 

见第二点解释， 回退的动作，以达到之前的和尤其糟糕的或者更加原始的状态和条件。

对于统计上的若干点分布，位置各异，我们需要找到他们符合的原始状态， 即各个点的均值。如下另一解释的 mean

regress

verb

re·?gress | \ ri-?gres

\

regressed; regressing; regresses

Definition of regress (Entry 2 of 2)

intransitive verb

1a : to make or undergo regress : retrograde

b : to be subject to or exhibit regression

2 : to tend to approach or revert to a mean

transitive verb

: to induce a state of psychological regression in

 

regression analysis

Definition of regression analysis

: the use of mathematical and statistical techniques to estimate one variable from another especially by the application of regression coefficients, regression curves, regression equations, or regression lines to empirical data

使用数学或统计的技术去估计一个变量相对于两一个变量的变化规律。

特别使用回归系数，回归曲线，回归方程，回归线到经验数据（已有的观察到的数据）。

 

http://cncc.bingj.com/cache.aspx?q=regression&d=5063544937579045&mkt=zh-CN&setlang=zh-CN&w=CaMCorCnfKn-ohesDqRVeCctxHhSM1LF

Most commonly, regression analysis estimates the conditional expectation of the dependent variable given the independent variables – that is, the average value of the dependent variable when the independent variables are fixed.

大多数情况下，回归分析估计条件期望， 依赖变量的平均值， 在独立变量被确定的情况下。

In statistical modeling, regression analysis is a set of statistical processes for estimating the relationships among variables. It includes many techniques for modeling and analyzing several variables, when the focus is on the relationship between a dependent variable and one or more independent variables (or ‘predictors‘). More specifically, regression analysis helps one understand how the typical value of the dependent variable (or ‘criterion variable‘) changes when any one of the independent variables is varied, while the other independent variables are held fixed.

Most commonly, regression analysis estimates the conditional expectation of the dependent variable given the independent variables – that is, the average value of the dependent variable when the independent variables are fixed. Less commonly, the focus is on a quantile, or other location parameter of the conditional distribution of the dependent variable given the independent variables. In all cases, a function of the independent variables called the regression function is to be estimated. In regression analysis, it is also of interest to characterize the variation of the dependent variable around the prediction of the regression function using a probability distribution.