The correlation between gpm and Hero Damage is 0.71. The more gpm, 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 gpm (blue dots) with respect to the expected value (red line).
Efficiency
Tinker 299.4498
Zeus 288.1838
Spectre 266.0511
Arc Warden 238.7301
Ember Spirit 198.8370
Bristleback 197.9884
Techies 190.6646
Skywrath Mage 175.2890
Venomancer 157.6169
Pugna 147.1669
Nyx Assassin 144.0944
Queen of Pain 141.3427
Sniper 127.7072
Witch Doctor 122.3130
Necrophos 120.5090
Muerta 111.3357
Timbersaw 111.2127
Axe 97.0014
Medusa 95.2694
Viper 91.1999
Legion Commander 89.8393
Clinkz 87.4924
Huskar 83.9254
Clockwerk 83.2697
Outworld Destroyer 81.4228
Phoenix 76.7994
Gyrocopter 76.4074
Razor 74.7653
Void Spirit 71.2087
Shadow Demon 64.1805
Puck 63.5420
Jakiro 62.3719
Warlock 56.3437
Leshrac 55.9929
Dark Willow 53.6793
Ancient Apparition 47.3710
Lich 39.6509
Silencer 39.2974
Sand King 38.0693
Enchantress 36.9262
Bloodseeker 35.8697
Shadow Fiend 34.4775
Crystal Maiden 34.1079
Ursa 33.3295
Death Prophet 29.7794
Winter Wyvern 28.3306
Enigma 28.1449
Monkey King 26.7541
Rubick 25.0833
Weaver 24.0086
Elder Titan 23.7508
Earthshaker 21.7462
Bane 19.3172
Phantom Assassin 13.8856
Riki 13.4160
Windranger 11.2843
Hoodwink 7.6410
Templar Assassin 3.2261
Storm Spirit -1.1572
Drow Ranger -3.2130
Grimstroke -9.7049
Snapfire -11.4601
Disruptor -11.9092
Batrider -15.1940
Pangolier -17.9959
Sven -18.3914
Pudge -19.2719
Invoker -19.7165
Vengeful Spirit -20.4604
Earth Spirit -22.9121
Tusk -24.0019
Underlord -25.5881
Dark Seer -25.7522
Phantom Lancer -28.1399
Juggernaut -28.9155
Treant Protector -30.4069
Troll Warlord -35.7249
Chaos Knight -36.3118
Primal Beast -36.3817
Tiny -37.5158
Keeper of the Light -38.2157
Ogre Magi -38.8420
Beastmaster -40.5327
Wraith King -40.7358
Omniknight -47.0304
Lion -52.1799
Meepo -52.8560
Oracle -54.5143
Kunkka -57.2460
Abaddon -57.7276
Luna -62.2778
Dawnbreaker -62.5554
Lina -66.3037
Morphling -68.5384
Centaur Warrunner -69.0253
Visage -72.5349
Marci -73.6712
Terrorblade -73.9139
Lifestealer -75.8893
Alchemist -78.0435
Mirana -78.4333
Shadow Shaman -80.7796
Mars -94.2748
Spirit Breaker -94.7631
Dazzle -95.6581
Brewmaster -98.6580
Slark -99.2395
Dragon Knight -101.0309
Tidehunter -101.5437
Io -119.1629
Undying -124.3268
Naga Siren -127.2701
Night Stalker -145.9359
Faceless Void -151.6277
Slardar -152.6524
Nature's Prophet -158.3295
Anti-Mage -167.2034
Broodmother -172.0762
Magnus -173.6493
Bounty Hunter -175.6240
Doom -194.1554
Lone Druid -200.3365
Lycan -219.8017
Chen -229.3797