The correlation between xpm and Hero Damage is 0.74. The more xpm, the more Hero Damage, and vice versa. But some values are higher than expected, some are lower. Efficiency is a difference between the value of Hero Damage depending on xpm (blue dots) with respect to the expected value (red line).
Efficiency
Zeus 372.8562
Techies 250.6340
Bristleback 233.7890
Tinker 226.7500
Venomancer 217.2992
Warlock 204.7865
Pugna 178.6711
Sniper 178.3448
Spectre 174.4893
Enigma 170.3664
Arc Warden 168.7266
Gyrocopter 155.0093
Necrophos 151.4809
Witch Doctor 133.7706
Muerta 133.5782
Clockwerk 128.7119
Ember Spirit 124.9902
Skywrath Mage 119.4680
Viper 99.5879
Queen of Pain 94.5853
Razor 94.4690
Leshrac 90.2874
Huskar 88.9747
Phantom Assassin 79.4183
Axe 76.7308
Outworld Destroyer 74.7916
Shadow Demon 69.2822
Legion Commander 69.2764
Jakiro 68.2187
Timbersaw 53.6618
Lich 47.8294
Clinkz 45.4934
Nature's Prophet 43.1490
Nyx Assassin 41.4561
Primal Beast 36.3793
Phoenix 36.2041
Shadow Fiend 33.0641
Ancient Apparition 27.9395
Silencer 27.3262
Sand King 26.5793
Phantom Lancer 26.0759
Death Prophet 25.6705
Puck 24.7415
Lina 24.1931
Rubick 18.8860
Ursa 16.5811
Monkey King 16.0122
Dark Willow 15.8702
Invoker 13.1934
Snapfire 12.4756
Underlord 10.6086
Earthshaker 10.0989
Dark Seer 6.8387
Weaver -1.6863
Keeper of the Light -5.5753
Hoodwink -6.3108
Elder Titan -6.4833
Winter Wyvern -7.2511
Centaur Warrunner -10.5931
Bloodseeker -11.2708
Crystal Maiden -14.1462
Drow Ranger -15.6163
Shadow Shaman -15.9067
Enchantress -18.0475
Void Spirit -18.4788
Templar Assassin -19.3199
Chaos Knight -23.5513
Beastmaster -24.1483
Pudge -25.0767
Wraith King -25.3195
Troll Warlord -25.5588
Kunkka -27.1373
Medusa -28.1333
Earth Spirit -29.3764
Terrorblade -31.7903
Dawnbreaker -35.5768
Pangolier -36.3064
Disruptor -39.2999
Ogre Magi -40.1138
Riki -40.3337
Grimstroke -41.4309
Bane -43.6742
Sven -43.9409
Batrider -44.2999
Bounty Hunter -44.7179
Juggernaut -50.1569
Morphling -52.6244
Oracle -56.1748
Storm Spirit -58.0458
Windranger -60.1141
Tusk -61.6334
Luna -61.7489
Chen -66.1004
Tiny -66.8731
Treant Protector -68.9293
Mars -74.0046
Visage -76.0878
Omniknight -76.3510
Marci -77.2868
Mirana -83.7250
Lone Druid -89.3265
Dragon Knight -92.1468
Dazzle -92.7021
Lion -94.0213
Undying -94.8594
Vengeful Spirit -95.4708
Tidehunter -96.2751
Lifestealer -102.0369
Abaddon -111.9538
Brewmaster -112.3763
Lycan -125.0014
Doom -127.8120
Naga Siren -130.4571
Meepo -130.9484
Alchemist -133.5397
Spirit Breaker -134.7756
Slardar -138.0591
Slark -140.9303
Broodmother -141.0082
Night Stalker -147.0728
Faceless Void -172.6461
Io -178.3740
Anti-Mage -196.1292
Magnus -201.4206