How Would One Find an Equation for this?
I will messing around with eds thingy and noticed that if you lets say multiply a base 60 pokemon's stats by 1.5 (choice band) its equivilent base stat is no 90 but 115. Which is 1.92 times. I decided to test a few other base stats:
5 -> 32 (lowest: Chansey)
80 -> 145
100 -> 175
180 -> 285
1.64 times (Highest: Deoxys attack)
It appears to be some sort of rational equation but so far online I have been unable to find a rational equation stat plotter program. Hopefully ed can help me out on this.
looks like a parabola, hitting its "multiplication" limit at about 1x in the graph.
the progression suggests that since 285 is the base limit, so he used an exponent instead of multiplication while programming.
i'll come up with a plot/equasion for you
Generally speaking, at level 100, base stats add 2 points, IVs 1 point, and EVs 0.25 points to your final stat. A choice item gives a 50% boost, which when multiplied through means base stats add 3 points, IVs 1.5 points, and EVs 0.375 points, plus an additional 2.5 points to the final stat. If we work backwards and do the math... Umm... Give me a minute...
I'm not sure what results I'm getting now, so I'll have to run some numbers. I got a 3.0625 base stat multiplier at level 100, which I think is wrong.
*goes to add a base stat calculator to StatCalc2.jar*
lol don't I was just bored this equation serves no competitive purpose
Too late, I've got it up and running.
Some cursory results (level 100, IV 30, EV 252):
5 > 32 (x6.40)
10 > 39 (x3.90)
20 > 54 (x2.70)
30 > 69 (x2.30)
40 > 84 (x2.10)
50 > 99 (x1.98)
60 > 114 (x1.90)
70 > 129 (x1.84)
80 > 144 (x1.80)
90 > 159 (x1.77)
100 > 174 (x1.74)
150 > 249 (x1.66)
200 > 324 (x1.62)
250 > 399 (x1.60)
285 > 452 (x1.59)
parabola thats minimum limit is 1.5.
i'm not sure about its maximum as of yet...
and my graphing calculator cant do shit anymore
it doesn't have a maximum becuase it apears to have an asymote the close you get to 0 base stat the move absurd the multiplication after choice band is
well... it sort of does the "e^x" effect... hm...
As the original base stat tends to 0 the multiplier tends to infinity. That's just a fact.
its a rational formula
I'll run the algebra tomorrow, see what falls out.
as the stat gets closer to 0, the multiplier reaches its infinite limite, and the other limit is 1.5 vs infinity.
it seems to be y= l(1/x+1.5)l
thats where i would start looking
Okay, so, here's what I got:
m = (150c - 3k) / (100c - 3k)
m is the base stat multiplier, c = s/nl, and k = i/2 + e/8. s is the final stat, n the nature modifier, l the level, i the IV, and e the EV.
A possible use I've worked out for all of this is that it can tell you what you can outspeed with a choice scarf, rather than the usual "I think it's faster than [insert slow thing here]".
The -3k means that you'll always get more than 1.5 unless k=0, i.e. you have no IVs or EVs.