Any tools that can help find the equation for a set of data?

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Discussion Overview

The discussion revolves around the challenge of finding a mathematical function ##f(x,y)## that describes a set of data points generated by a method not involving the function itself. Participants explore potential tools and methods for identifying such a function, including the use of regression analysis and other computational tools.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant expresses the need to find a function ##f(x,y)## that can be represented using basic algebra operations, powers, absolute values, and factorials.
  • Another participant suggests searching for 'regression analysis' as a method to assist in this task, noting the variety of available methods.
  • A follow-up comment questions the applicability of regression analysis for functions that include absolute values and factorials, indicating uncertainty about its capabilities.
  • A different participant mentions a tool called Eureqa, which is designed to analyze large datasets and derive formulas to describe them.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the best approach to find the function ##f(x,y)##, and there are competing views regarding the applicability of regression analysis and the utility of specific tools like Eureqa.

Contextual Notes

There is uncertainty regarding the specific capabilities of regression analysis in relation to functions involving absolute values and factorials, as well as the effectiveness of Eureqa for the task at hand.

Who May Find This Useful

This discussion may be useful for individuals interested in data analysis, mathematical modeling, or those seeking tools to derive functions from empirical data.

Haorong Wu
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TL;DR
Are there any tools that can help me find the equation for a given set of data?
Suppose that I can generate the result of a function ## c_{x,y}=f(x,y)## by a method not involving the function ##f##. I need to find ##f(x,y)## now. The expression of ##f(x,y)## is expected to contain basic algebra operation (+-*/), power, absolute value and factorial.

I have tried to find it manually but failed (##f(x,y)## exists, I am sure). So are there any tools that can help?

Thanks.
 
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'regression analysis' is the term to search for. There are a plethora of methods to help you here.
 
Arjan82 said:
'regression analysis' is the term to search for. There are a plethora of methods to help you here.
Thanks, Arjan82. I have heard of it. But according to my memory, it may be mainly used to find linear or nonlinear relations or find coefficients when the basic form of the function is given. Could this be used when the function contains absolute value and factorial? I am still reading Wikipedia.
 

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