this post was submitted on 07 Apr 2025
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The only thing this graph shows is that average people are average. This graph essentially shows no -> very weak correlation between testosterone levels and IQ. in fact I would say this graph argues that correlating testosterone levels with IQ is essentially flawed. However because of the way the data is represented it makes it look as though there might be a correlation.
AFAIR the R2 is (almost) equal to rho in the Pearson correlation. I just see two variables, a linear fit from - possibly - an OLS. The small R2 is likely due to the outlier (though a single outlier by this mass of points raises my eyebrows as the MSE (or take the RSME) won’t be affected as such by a single point when there are 15’000 points centered closely around an estimate, but CCV would tell) and R2 says nothing about the p-value, which is determined by the amount of information in a system/about variables, and hence likely way below 0.05.
This relationship aka in this case correlation says pretty much nothing about real world, because IQ is (possibly) not only determined by IQ, but way many other factors. The picture is utterly simplified. It is similar to the relationship between the number of babies and the number of storks.