sapiens,
you have just proven (inadvertently, I'm guessing) that - at most - corporal punishment is not predictive of anything in particular and therefore, not deleterious.
To follow up on your statement:
I would say that the response given by the successful individual would, on average, be more reliable. Successful individuals rarely blame their upbringing for their problems - coincidentally, they don't have as many, do they?
Unsuccessful people, on average, seem to blame everything - including the facts (or delusions) of their upbringing - for their problems - of which they typically have quite a lot.
Rather than tie up the discussion with a neat equation, you have in fact, clouded it with issues that are quite disparate.
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