The correlation between Tier and xpm is 0.89. The more Tier, the more xpm, and vice versa. But some values are higher than expected, some are lower. Efficiency is a difference between the value of xpm depending on Tier (blue dots) with respect to the expected value (red line).
Efficiency
Mind Breaker 120.8740
Penta-Edged Sword 80.0795
Paladin Sword 66.4140
Ninja Gear 62.6795
Elven Tunic 56.7940
Titan Sliver 48.0740
Stygian Desolator 40.4039
Grove Bow 36.3974
Broom Handle 29.8497
Pirate Hat 29.1639
Enchanted Quiver 29.0640
Defiant Shell 27.8340
Apex 26.2639
Havoc Hammer 23.4495
Duelist Gloves 23.0097
Spark Of Courage 19.3897
Vampire Fangs 17.0674
Lance Of Pursuit 14.3497
Trickster Cloak 13.0495
Ascetic'S Cap 12.7595
Occult Bracelet 11.0197
Stormcrafter 10.9895
Cloak Of Flames 9.7440
Ring Of Aquila 8.8374
Fairy'S Trinket 7.7897
Ex Machina 5.3139
Giant'S Ring 3.3339
Mirror Shield 2.9939
Martyr'S Plate 0.3795
Pig Pole -1.1303
Arcane Ring -1.8803
Force Boots -3.6261
Timeless Relic -4.8605
Spell Prism -7.3205
Vambrace -9.4226
Faded Broach -13.5303
Seeds Of Serenity -15.5603
Dragon Scale -16.2626
Trusty Shovel -17.3203
Fallen Sky -19.3961
Pupil'S Gift -21.2826
Tumbler'S Toy -26.0803
Arcanist'S Armor -29.0661
Ceremonial Robe -30.0760
Ogre Seal Totem -35.3960
Quickening Charm -38.6560
Dandelion Amulet -42.0860
Gossamer Cape -46.8626
Bullwhip -49.3726
Book Of Shadows -52.4561
Philosopher'S Stone -52.8526
Book Of The Dead -53.5961
Telescope -55.6705
Psychic Headband -60.6260
Seer Stone -61.3561
Eye Of The Vizier -71.6226