How to figure out this formula?

Aqualight

New member
Joined
Oct 9, 2014
Messages
3
Sorry if I'm not posting this in the right forum section, the titles of the sections are confusing to what my problem is about. I'm trying to work out the operations in a formula that takes in 3 custom input values, and results in a specific value. I can't seem to figure out the operations, the method the formula uses to turn the input values into the output. The formula follows a specific context but I'll explain a scenario that describes the same problem.

In this scenario lets say there are three different variables that a specific formula turns into values I know:

Variable AVariable BVariable COutput
10012500
10012525+06.25
10012550+12.50
10012575+18.75
100125100+25.00
10010000
100100250
100100500
100100750
1001001000
1007500
1007525-06.25
1007550-12.50
1007575-18.75
10075100-25.00
1005000
1005025-12.50
1005050-25.00
1005075-37.50
10050100-50.00
1002500
1002525-18.75
1002550-37.50
1002575-56.25
10025100-75.00
100000
100025-25.00
100050-50.00
100075-75.00
1000100-100.00

Regards
Aqualight
 
Formally there are many functions (oh, alright an infinite number of functions) which will fit your data. The math involved is somewhat beyond Beginning Algebra.

An analogous problem which is in Beginning Algebra is suppose you had one variable which we shall call x with one output which we shall call y. We are given two (x,y) pairs (0,1) and (1,2). Now you choose any finite function you wish and that function can be used to make another function which will fit that data. The proof is as follows:

Given a function g(x) [the one you choose], define f(x) by
f(x) = 1 + x + x * (x-1) * g(x)
Now f(0) = 1 and f(1) = 2 so f(x) fits the bill.

However, there are techniques, i.e. linear regression is one, for which a 'best fit' can made to particular formulas trying to represent the data.
 
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