Developing a multivariable function

[margaritaklag]

Homework Statement

Development of multivariable function

Relevant Equations

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Hello! I am facing a difficulty into developing a multivariable function of a dependent variable "x".

Let's assume that "x" is a function of 6 independent variables a,b,c,d,e,f,g.

From experimental data i have developed 6 functions, each representing how "x" changes by each of the paremeters when the other 5 have a specific value.

So, what i have right now is for example: 1. x=f1(a,1,2,3,4,5)
2.x=f2(6,b,7,8,9,10)
3. x=f3(11,12,c,13,14,15)
...
6.x=f6(16,17,18,19,20,g)

What I need is to develop one single function of x where non of the variables will have a constant value.
x=f(a,b,c,d,e,f,g).

Any ideas or recommendations for where to look?

Thank you!

 

[felipeborges]

Multivariable Regression is what you are looking for!
Doing this by hand is hard, but if you are able to use a software its pretty straight forward.
https://helpfulstats.com/multiple-linear-regression-model/