Hi everyone, I will be making an analysis post every weekend. I’ll also be making some non-analysis posts just for fun sometimes as well. This weekend’s topic is analyzing battle pet ability damage in relation to a pet’s base attack stat. I believe I’m the first one to try to figure out this formula! TL;DR, please skip down to the conclusion.

EDIT: It has been brought to my attention by taggedjc from Reddit that I am using the term Power incorrectly, as “Base Attack” is actually correctly termed as Power in game. I will be making the following corrections:

1. Base Attack -> Power

2. Power -> (Ability) Base (which I’d like to point is is listed as Power on WoWDB)

Purpose: After gathering some data, doing some analysis, and staring at then numbers for a very long time. First I’ll post the raw data, I’ve gathered from leveling along with initial graphs and finally conclude with the proper damage formulas. I’d like to make note that the pets used were selected at random. I just happened to be looking at the Flying family.

Raw Data:

***These graphs are just raw data to support the formula that I will be discovering. You do NOT have to look through all of it. It will be used for reference.***

Data for Chicken (Normal Grade)

Level Base Power Peck Slicing Wind Squawk Adrenaline Rush Egg Barrage Egg Barrage 2 Egg Barage Total Flock Base Power Gain 6 60 80 40 40 40 36 N/A N/A 36 7 71 91 45 45 45 40 N/A N/A 40 11 8 81 101 50 50 50 45 N/A N/A 45 10 9 91 111 55 55 55 49 16 98 49 10 10 101 121 60 60 60 54 18 108 54 10 11 111 131 65 65 65 58 19 116 58 10 12 121 141 70 70 70 63 21 126 63 10

Data for Bat (Rare Grade)

Level Base Power Bite Life Leech Screech Hawk Eye Reckless Strike Nocturnal Strike Base Power Gain 12 131 151 75 75 N/A 226 302 13 142 162 81 81 N/A 243 324 11 14 153 173 86 86 N/A 259 346 11 15 164 184 92 92 N/A 276 368 11 16 175 195 97 97 N/A 292 390 11 17 186 206 103 103 N/A 309 412 11 18 197 217 108 108 N/A 325 434 11 19 207 227 113 113 N/A 340 254 10 20 218 238 119 119 N/A 357 476 11 21 229 249 124 124 N/A 373 498 11 22 240 260 130 130 N/A 390 520 11 23 251 271 135 135 N/A 406 542 11 24 262 282 141 141 N/A 423 564 11 25 273 293 146 146 N/A 439 586 11

Data for Wildhammer Gryphon Hatching (Rare Grade)

Level Base Power Peck Squawk Slicing Wind Adrenaline Rush Flock Flock Total Lift-Off Base Power Gain 21 257 277 138 138 138 124 620 484 22 269 289 144 144 144 130 650 505 12 23 281 301 150 150 150 135 675 526 12 24 293 313 156 156 156 140 700 547 12 25 305 325 162 162 162 146 730 568 12

Data for Singing Sunflower (Hidden Rare Grade)

Level Base Power Lash Solar Beam Solar Beam 2 Solar Beam Total Photosynthesis Inspiring Song Early Advantage Sunlight Base Power Gain 7 72 46 184 92 276 27 55 92 46 9 92 56 224 112 336 33 67 112 56 20 10 103 61 246 123 369 36 73 123 61 11 11 113 66 266 133 399 39 79 133 66 10 12 123 71 286 143 429 43 85 143 71 10

Data for Brilliant Kaliri (Hidden Rare Grade)

Level Base Power Peck Quills Shriek Cyclone Nocturnal Strike Predatory Strike Base Power Gain 9 105 125 62 62 43 250 125 10 117 137 68 68 47 274 137 12 11 129 149 74 74 52 298 149 12 12 140 160 80 80 56 320 160 11 13 152 172 86 86 60 344 172 12 14 164 184 92 92 64 368 184 12 15 175 195 97 97 68 390 195 11 16 187 207 103 103 72 414 207 12

Data Analysis:

This will be an analysis on only Quills from Brilliant Kaliri. First of all, I would like to give credit to WoWDB for using their numbers, especially (Ability) Base (which is confusingly listed as Power on the site). We will be looking at the Quills page.

Initially I proceeded to find a relationship between my B.Kaliri’s Power and (single) Quill damage. I assume that the relationship was linear since a sub-game in a game shouldn’t be that complicated, so I did a simple graph with linear trend line y = ax + b.

The R-squared value is extremely close to 1. Rounding the formula to whole numbers: y = 0.5x + 9. I thought the b=9 was a little fishy, so I went to see if there was a relationship to the Power listed on WoWDB. Quills Base is listed as 10. If you remember my first post, I said that basic Slot 1 Abilities do Power + 20. For example, my B.Kaliri’s Peck did 125 damage at level 9, which is 105 + 20. WoWDB has it listed as 20 Base. However, none of the other Base values (10. 30, 100) made any sense to me. They weren’t additive or multiplicative. Something caught my attention; At level 12, when B.Kaliri’s Power was 140, I noticed that the damage of Nocturnal Strike and Predatory Strike were multiples of the damage of Quills. The Base listed on WoWDB were 40 and 35 respectively.

After some thinking, I came up with:

Ability Damage = ((Power + 20)/20)*Base

Let’s plug in numbers to check. Level 12 data will be used for the sake of easy-to-follow numbers.

1. Quills: (10 Base)*((140 Power + 20)/20) = 80 Damage

2. Nocturnal Strike: (40 Base)*((140 Power + 20)/20) = 320 Damage

3. Predatory Strike: (35 Base)*((140 Power + 20)/20) = 280 Damage.

Why doesn’t the damage for Predatory Strike match? It has the damage of a 20 Power attack. There is a proc to the ability: “If the target is below 25% health, they are instantly killed.” For some reason, an extra 15 Base was tagged onto the base to account for the proc damage.

To make sure this formula is still valid, I did a check on another 35 Power attack. Luckily, my Wildhammer Gryphon Hatchling had Lift-Off.

At Level 25: (35 Base)*((305 Power +20)/20) = 568.75 Damage. I think it’s note-worthy that it rounds down to 568 just as I speculated in Post 1.

Let’s now take a look at Flock (W.Gryphon Level 25 data):

146 Damage = (X Base)*((305 Power + 20)/20).

Solving for X = 8.98 Power, which we round to 9. This is triple Flock’s listed Base because it goes on for 2 additional turns.

This brings us back to Quills, and now we can explain b = 9. The Power at level 16 is 187; 187/20 = 9.35. The overall calculation: (10 Base)*((187 Power + 20)/20) = 103.5, which is rounded down to 103.

On a side note, I just wanted to take a look at a DoT ability. since none of the pets above had a DoT ability.

Hypothesized Flame Breath Base = (232 initial damage*20)/(270 Power + 20) = 16

Hypothesized Flame Breath Base = (520 total damage*20)/(270 Power + 20) = 35.8, which rounds down to 35.

Hypothesized Flamethrower Base = (217 initial damage*20)/(270 Power + 20) = 14.96, which rounds up to 15.

Hypothesized Flamethrower Base= (303 total damage*20)/(270 Power + 20) = 20.9, which rounds down to 20.

(Compare Flame Breath and Flamethrower to WoWDB Base.)

Conclusion:

1. All abilities follow a linear damage formula, which is expected and affected by Base and Power. The formula for ability damage is:

Ability Damage = (Base)*((Power + 20)/20)

2. DoT abilities Base (from WoWDB) only takes into account the initial damage and not the DoT damage.

Props to anyone who actually read this entire thing. I realize that my posts are pretty lengthy because I include raw data along with my analysis. Please leave any comments and suggestions below. Would you prefer pictures or wordpress’s simple spreadsheet? Thanks!

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Tagged: Ability Damage, Ability Damage Formula, Battle Pets, World of Warcraft, WoW