Sexual fetishes on the political compass, men and women. Total sample size was over 19,000!
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Aren't most r^2 < 5 %? It can easily be statistical noise.
Or am I missreading it?
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For almost all studies like this, you should expect it to be statistical noise, yeah! But the significance depends on sample size; the larger the sample, the more likely it is that your finding isn't just statistical noise.
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The likelihood ratios (how much more likely it is to get the observed correlation vs the null) in my graphs ranges from 5 to around 1e+10 (extraordinarily likely)