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Those regression lines are absolutely laughable. Point cloud has line going through it, and beforehand I have no clue where the line will be (other than that it will go through the center, presumably). Even if there is a statistically significant effect, its meaning will be a rounding error.

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Isn't that the point, though? Their argument is that there is no correlation, in contrast to what the original study claimed

Of course there's an XKCD for that. Yes I agree the trend doesn't seem very significant, even if it's statistically there

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