The reverse holds too: I know more people with PhD's through climbing than any other area of my life that's intuitively nerdier.
N.B. Never aspired to an advanced degree, but I know a lot of people with them.
I'd rather guess the following relationship: IQ is positively correlated with "openness to experience" in the five-factor model: https://en.wikipedia.org/wiki/Big_Five_personality_traits
Concerning this particular trait: https://en.wikipedia.org/wiki/Big_Five_personality_traits#Op...
"Open [to expererience] people can be perceived as unpredictable or lacking focus, and more likely to engage in risky behaviour or drug-taking. Moreover, individuals with high openness are said to pursue self-actualisation specifically by seeking out intense, euphoric experiences."