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What is the meaning of "regression" in "regression analysis" in mathematics (conceptually)?
In this semester, both mathematical statistics and mathematical modeling have studied regression analysis and regression model.

Regression analysis is a statistical analysis method to determine the quantitative relationship between two or more variables. The so-called regression analysis is to analyze the functional relationship expression and regression function of two variables in the mean sense.

Its practical significance lies in that for two related variables, but the exact functional relationship between them can not be given, the approximate relationship between them can be given in the average sense. Regression function is a functional expression that analyzes the correlation between these two variables in the average sense.

The above is the answer I found in the handout of mathematical statistics, and the following is the definition of regression in mathematical modeling:

The statistical analysis method to determine the quantitative relationship between two or more variables is regression analysis, which is mainly divided into univariate regression, multiple regression, linear regression and nonlinear regression.

That is, two variables with correlation (non-deterministic relationship), we draw a scatter plot through actual data, simulate its trend, select an appropriate regression function, and determine the possible relationship between these two variables.

One hand-I hope it is useful for answering the Lord.