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Over the years I've done like eighty billion twitter polls and also a metric poopton of surveys with huge Ns where i stare at correlations a ton. I've developed my own personal intuition for correlation strengths; idk if it's "scientific" but the way I tend to look at things:
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My rough threshhold for "this is kinda interesting" is around r=0.12. "ok i'm paying attention" starts at around r=0.18, and "i'm getting excited" starts at 0.22. Anything 0.3 and up gets first-time-watching-lord-of-the-rings level feelings of magic and r=0.5s mean i am deceased
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r=0.7s and up are mythological creatures no one has ever seen one, and if u think u saw one it probably was just some dude in a suit made out of a pitiful sample size
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r=.7 is super common...but it's just always in cases that aren't interesting bc we think it's obvious. For instance, the correlation between identify as republican and vote trump is probably that high.
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