Regression

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

 

見第二點解釋， 回退的動做，以達到以前的和尤爲糟糕的或者更加原始的狀態和條件。

對於統計上的若干點分佈，位置各異，咱們須要找到他們符合的原始狀態， 即各個點的均值。以下另外一解釋的 mean

regress

verb

re·​gress | \ ri-ˈgres

\

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

使用數學或統計的技術去估計一個變量相對於兩一個變量的變化規律。

特別使用迴歸係數，迴歸曲線，迴歸方程，迴歸線到經驗數據（已有的觀察到的數據）。

 

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.

大多數狀況下，迴歸分析估計條件指望， 依賴變量的平均值， 在獨立變量被肯定的狀況下。

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.