I believe this is the correct forum for this query. Thank you in advance for your help!

I am trying to figure out what the function is that would generate vari.

It comes with a "stage" (varx) and "density" (vary)

Together these determine a level of mitigation, the resulti.

Sample data:

Stage x, Density y, Mitigation i

2 9 8.26%

2 18 15.25%

3 19 11.24%

3 26 14.77%

4 41 17.01%

4 34 14.53%

4 27 11.89%

4 44 18.03%

5 45 15.25%

6 51 14.53%

6 103 25.56%

7 127 26.62%

7 144 29.15%

7 146 29.44%

The solution would be cool, but I am also interested in how to come to the solution.

So far i have:

i = f(x,y)

But that's all I've got. I think it uses an exponential curve. It definitely has a curve that makes density less effect per point as it scales upwards, and density points are less effective at higher stages, requiring more to provide the same level of mitigation.

If I need more information, let me know and I can collect a larger dataset.

\Thanks!

PS, it's been several years since I took math and to be honest I haven't retained too much of it, so if you have better language for anything I request please contribute. I did quite well, so hopefully I will get it without trouble.