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I tried leaving the screen and coming back, and checking the profile screen for changes. Speed (and baserunning/stealing) make no difference to other ratings like contact, nor to hits in the editor. Except for overall rating. Speed can make a big difference in overall rating if the player is already decent in other areas.
Speed does determine the ratio of triples versus doubles (as long as that ratio isn't hardcoded in the editor field just for that, as the game seems to do for existing players so that they maintain their real-life ratio despite their apparent speed not matching up). But speed doesn't change any singles to doubles. That seems to be entirely determined by Gap ability.
The percent of your doubles+triples that will be triples (according to the editor) is based on the following speed ratings on a 1 to 250 scale, where 100 is "average", and 200 shows up as a perfect max rating in the profile screen.
Speed = 1 = 3.85% triples instead of doubles
Speed = 50 = 6.73%
Speed = 100 = 12.50%
Speed = 150 = 14.42%
Speed = 200 = 19.23%
Speed = 225 = 26.92%
Speed = 250 = 47.12%
If a player is above 200 speed, you won't know it from the profile screen.
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