There is no correlation between Tower Damage and Pick Rate. Some has higher Tower Damage, some has higher Pick Rate. Objects are grouped into clusters (marked with different colors) based on close values of Tower Damage and Pick Rate.
Tower Damage Pick Rate
Ancient Apparition 19.37 0.0864
Bane 22.83 0.0276
Batrider 22.20 0.0271
Beastmaster 94.63 0.0266
Brewmaster 89.11 0.0103
Centaur Warrunner 60.62 0.0445
Chen 94.54 0.0094
Clockwerk 20.96 0.0359
Dark Seer 30.96 0.0304
Dark Willow 41.75 0.0483
Dawnbreaker 56.91 0.0424
Dazzle 18.67 0.0757
Death Prophet 90.43 0.0235
Disruptor 11.31 0.0935
Doom 34.36 0.0689
Earth Spirit 18.76 0.0297
Elder Titan 48.81 0.0151
Enchantress 62.21 0.0502
Enigma 43.93 0.0277
Grimstroke 17.54 0.0513
Gyrocopter 48.79 0.0466
Hoodwink 33.12 0.0747
Io 33.57 0.0382
Keeper of the Light 14.83 0.0424
Kunkka 69.20 0.0460
Leshrac 104.40 0.0136
Lich 14.22 0.1126
Lina 92.61 0.0372
Marci 81.62 0.0404
Mars 45.70 0.0371
Night Stalker 88.27 0.0326
Oracle 13.02 0.0696
Pangolier 51.68 0.0623
Phoenix 29.03 0.0307
Primal Beast 36.81 0.0287
Puck 63.51 0.0465
Razor 71.71 0.0264
Sand King 26.82 0.0669
Shadow Demon 23.02 0.0179
Slardar 57.69 0.0594
Snapfire 47.53 0.0647
Tidehunter 40.51 0.0453
Timbersaw 55.72 0.0652
Tinker 7.95 0.0812
Tiny 89.54 0.0443
Treant Protector 36.25 0.0346
Tusk 31.33 0.0531
Undying 25.80 0.1110
Vengeful Spirit 25.26 0.0544
Warlock 67.61 0.0526
Winter Wyvern 50.74 0.0466
Zeus 26.64 0.0955
Tower Damage Pick Rate
Axe 39.94 0.1804
Bounty Hunter 33.21 0.1354
Crystal Maiden 16.01 0.1658
Lion 12.20 0.1660
Mirana 47.77 0.1225
Nyx Assassin 21.15 0.1417
Ogre Magi 40.46 0.1656
Pudge 25.82 0.2844
Rubick 15.08 0.1630
Silencer 47.66 0.1640
Skywrath Mage 20.66 0.1349
Spirit Breaker 30.79 0.1653
Techies 40.16 0.1542
Venomancer 36.33 0.1261
Witch Doctor 15.26 0.1788
Tower Damage Pick Rate
Abaddon 137.16 0.0569
Arc Warden 177.63 0.0532
Broodmother 169.21 0.0069
Chaos Knight 125.44 0.0531
Dragon Knight 118.23 0.0414
Huskar 123.02 0.0604
Lifestealer 147.03 0.0630
Lone Druid 311.94 0.0163
Luna 177.72 0.0386
Lycan 207.49 0.0083
Meepo 219.44 0.0291
Morphling 185.86 0.0370
Muerta 160.78 0.0643
Naga Siren 183.52 0.0392
Nature's Prophet 160.41 0.0301
Outworld Destroyer 111.90 0.0648
Sven 163.95 0.0658
Templar Assassin 155.75 0.0381
Terrorblade 220.46 0.0366
Troll Warlord 197.70 0.0433
Visage 185.02 0.0121
Weaver 144.88 0.0549
Wraith King 142.27 0.0741
Tower Damage Pick Rate
Anti-Mage 163.65 0.1408
Clinkz 184.70 0.1177
Drow Ranger 164.50 0.1204
Juggernaut 168.61 0.1724
Legion Commander 134.07 0.2241
Medusa 175.67 0.1647
Phantom Lancer 153.65 0.1180
Shadow Fiend 192.67 0.1425
Slark 130.27 0.1970
Sniper 130.33 0.1712
Windranger 111.42 0.1924
Tower Damage Pick Rate
Alchemist 130.37 0.0880
Bloodseeker 111.73 0.0911
Bristleback 79.89 0.1036
Earthshaker 43.37 0.1021
Ember Spirit 67.80 0.0904
Faceless Void 106.01 0.1039
Invoker 97.96 0.1078
Jakiro 63.28 0.1189
Magnus 81.81 0.1214
Monkey King 114.40 0.1156
Necrophos 45.41 0.1097
Omniknight 60.04 0.0763
Phantom Assassin 98.40 0.1510
Pugna 95.19 0.0715
Queen of Pain 75.77 0.1124
Riki 58.09 0.1090
Shadow Shaman 82.66 0.1101
Spectre 86.95 0.0740
Storm Spirit 71.61 0.0845
Underlord 79.11 0.0762
Ursa 91.58 0.0860
Viper 92.06 0.0684
Void Spirit 110.24 0.1286