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I'm playing this video game where people can get kills, deaths, and assists , and all this is recorded on a stats website. The stats website gives you a rating by directly manipulating these numbers.

In the first entry, I have 26 kills, 5 deaths, and 19 assists. The KDA ratio the website gave me was 29.8. At first thought, I guessed that the formula was ratio = (kills*5 + assists)/deaths.

But then the second entry threw me off. 21.33 Kills, 1.33 deaths, and 4.33 assists. And the ratio outputted here is 24.58.

Is there a good approach to figuring out the formula or function when the inputs and outputs are given?

krikara
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  • I know with only two entries, there can probably be multiple formulas, but the way data is weighted / calculated should also make sense to apply a rating to a player. So I'm just wondering if this is possible to figure / how to figure it out. – krikara Dec 16 '12 at 04:57
  • The more datapoints that you have, the more likely you will be able to find a reliable estimate of your score. 2. If you have some idea of the general form of the equation, you can use regression to estimate the unknown quantities in your equation.
    • – Daryl Dec 16 '12 at 05:08
  • You've already given enough data to determine the values of a and b in any formula of the form KDA=(akills+bassists)/deaths that would fit your data - and it implies a negative value of a! (to first approximation, b=8 and a=-.1) - this suggests that your 'meta-formula' is the wrong formulation to use. – Steven Stadnicki Jul 03 '14 at 19:46