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

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SUMMARY

This discussion centers on finding the equation for a set of data represented by the function ## c_{x,y}=f(x,y)##. Users recommend utilizing 'regression analysis' as a primary method for identifying relationships in data, despite its common use for linear and nonlinear relations with predefined function forms. The tool Eureqa is highlighted as a sophisticated option capable of analyzing large datasets to derive formulas, even when they include complex operations like absolute values and factorials.

PREREQUISITES
  • Understanding of regression analysis techniques
  • Familiarity with basic algebra operations (+, -, *, /)
  • Knowledge of functions involving absolute values and factorials
  • Experience with data analysis tools, specifically Eureqa
NEXT STEPS
  • Research advanced regression analysis methods for complex functions
  • Explore the capabilities of Eureqa for formula discovery
  • Study the application of absolute values and factorials in data modeling
  • Learn about other data analysis tools that can complement regression analysis
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Data scientists, mathematicians, and anyone involved in data analysis or seeking to derive mathematical functions from datasets will benefit from this discussion.

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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