You say that this is not homework, but the instructions read like some kind of assignment. Is this for a programming class or something?
The information in seven of the columns never changes, making these values irrelevant, so I've deleted those columns in the above. Is the row-number information important, or is it being used merely as a way of naming the various data points?
What techniques have you studied recently? How to you believe you're expected to approach this project? What tools do you have?
When you reply, please include a clear listing of your thoughts and efforts so far. While it may not be possible to backwards-engineer "the" formula that generated these data points, we may be able to help you figure out "a" formula. So please do be complete. Thank you!
I got a response! That's cool. I thought it possible that getting "the" formula might not be possible, especially since I have no idea what it is, and it could be some kind of non-reversible function.
The instructions provided were my own, based on what I have seen and tried. If they sounded assignment-like, I was a college professor in another life, but for writing, not programming.
It is not for a class, certification, or anything else that would require that I do it on my own. Knowing a working answer in this case provides me only with a tool I can use to publically prove a point in this game's forums--and I will definitely give credit where it is due, if that is what you wish. I can be general, specific, or say nothing at all regarding any assistance. That is the call of whomever helps me. I am not trying to steal credit for something I did not (and cannot) do. I have already admitted this is beyond me in math, but it is beyond me in programming as well.
Thank you for cleaning up the unnecessary data. I wanted to give what I had, since I wasn't sure what might be relevant.
As for your other questions, there is no expectation on how to solve. My guess is the game developer would prefer than I not find a solution. It's not against the TOS for me to do so, but it could negatively impact their reputation among players if the developer has been misrepresenting things to players. I have reason to believe they are doing just this, but I am having trouble proving it in a way not easily refuted. I chose this game element because it is one of the original and also does not appear to deviate from any patterns.
Techniques studied? None recently. I took Calc I-III in college, but I'm sure I remember almost none of that, since I haven't used it. I have never taken a programming class.
Based on what I have seen from this file about this game element and other equivalent files for other elements, the columns I have named resilience and Power must be factors. Any element that has a 0 for either value has a Reported Strength of 0. For most game elements, these two columns increase with every new row. The rows correspond to levels. I do not think the level number is part of the answer--I included it because I didn't want to leave out something simple that maybe would make a difference.
For tools, I do not have anything fancy. I've have tried most of my attempts at a solution in Excel, both because I am familiar with it and because the original data is in a CSV format.
I included only the first 25 rows because these are the original 25 levels, but also because I exceeded the length when I included more rows. If additional rows would help, I can include on the columns you have and add the remaining levels. They have added levels in increments of 5. And while the power and strength follow consistent increases within each set of 5, if you graph the whole development, these does not appear to be anything consistent to me.
I hope this helps. I am not being obtuse intentionally. If I did not answer your questions, please let me know. I will try again.
Thank you for any help you can provide, even if it isn't an answer. I greatly appreciate any assistance or nudges in what you believe to be the right direction.