Scorpion attack

Brael - Dreamweaver

If anyone wants to work on figuring the formula out, here's the 100% attack values for 2-55 using a pollen scorpion (same thing as a varicose). It's also possible (very likely) that attack isn't a whole number so there's a range there on the end of what's displayed. If I have 120% attack values, I included them after normal attack, it's not enough to narrow the range down perfectly, but it does get it pretty small.

Level	Attack	120%
2	30	
3	39	
4	49	
5	59	
6	70	
7	81	
8	93	
9	105	
10	118	
11	131	
12	145	
13	159	
14	174	
15	189	
16	205	
17	221	
18	238	
19	255	
20	273	
21	292	
22	310	
23	330	
24	350	
25	370	
26	391	
27	412	
28	434	
29	456	
30	479	
31	503	
32	527	
33	551	
34	576	
35	601	
36	627	
37	654	784
38	681	817
39	708	849
40	736	883
41	765	918
42	793	951
43	823	987
44	853	1023
45	883	1059
46	914	1096
47	946	1135
48	978	1173
49	1010	1212
50	1043	1251
51	1077	
52	1111	
53	1146	
54	1181	
55	1216	1459

There seems to be something of a pattern there but I can't really put a formula to it. Using all data or a 20 level section (23-42, the pattern seems to repeat again at 43) the average increase to the gain is +.5 attack per level, and the average is pretty close to the actual results, but it's not perfect. The increase/level looks to me like it's using a curve, but I haven't plotted it yet, and it doesn't perfectly repeat.

Peritia - Lost City

Thanks for posting that Brael, the expanded dataset should be useful.

That said, I've already beat you to the punch, in part:

http://pwi-forum.perfectworld.com/showpost.php?p=3204101&postcount=20

All of my calculations were done using the "Loyal" Attack level of 120%, though.

Brael wrote:

There seems to be something of a pattern there but I can't really put a formula to it. Using all data or a 20 level section (23-42, the pattern seems to repeat again at 43) the average increase to the gain is +.5 attack per level, and the average is pretty close to the actual results, but it's not perfect. The increase/level looks to me like it's using a curve, but I haven't plotted it yet, and it doesn't perfectly repeat.

As you'll see in my post, the growth is a gentle curve, however the growth in growth (lol) is approximately fixed. Using linear regression to find the line of best fit, I was able to fairly accurately estimate values for either scorpion (Varicose or Weeping) at any level.

Given any other breed of scorpion, I can perform the same calculations given a few (3+, more is ideal) levels worth of stats.

Peritia wrote:

ATK_Growth(x) = 0.6051x + 9.266

Where X is either the level of your varicose scorpion, or the result of (2-A)/10+Y ; wherein A is the starting level of your own scorpion and Y is its current level, yielding its varicose-equivalent growth.

ewingoil

The scorps are great but I can't stand the sound they make.I prefer the beetles.

Brael - Dreamweaver

Very nice. Using 120% is likely why your calculations end up being slightly off. The numbers we see on pet stats have decimals on them and we just get the truncated values. It can throw things off by a point or two at times.

I've actually researched that thread before for pet stuff, but I guess I missed the attack portion.

What I'm curious about now, is... it's a fact that scorpions have an attack value of 6. The way all stat growths work that have been solved (all but attack/speed) is that 1=base and 10=2x base. That means, if you work backwards and assume attack works the same way, you should find that these would work for multipliers to fairly accurately predict a pets attack at any given level using your formula. Though, it would probably only be accurate for pets with an attack speed of .6/sec.
1 0.6429
2 0.7143
3 0.7857
4 0.8571
5 0.9286
6 1.0000
7 1.0714
8 1.1429
9 1.2143
10 1.2857

Here's all the pets with a tame level of two.
Heptastral Beetle
Pentastral Beetle
Quadrastral Beetle
Pollen Scorpion
Scorpion Pup
Varicose Scorpion
Cruel Wolfling
Mad Wolfling
Sharptooth Wolfling

Also, since you have the scorpion attack data for a level 28 scorpion, here's the pets with a tame level of 28.
Weeping Scorpion Queen
Goldenwing Emperor

Beetles have an attack rate of .8/sec with an attack of 3. Wolf 1's have an attack rate of .8/sec with an attack of 5. Goldenwing Emperor has an attack rate of .6/sec with an attack of 5, and happens to conveniently be on ecatomb which lists a level 90 attack of 2943. I just did some rather quick math (didn't actually predict the level 90 attack) and got fairly close to what the difference in level 5 vs 6 attack should be, so that's probably accurate. Which means comparing the beetles of wolf's to the scorpion data we have, can probably give a relationship between .6 and .8 attack speed (and it would be just great if .8 attack speed results in attack being ~33% lower than .6 speed).