1. I take it that nonenvironmental luck for the offspring would be the luck of how the genes of the parents combine in the offspring.
That's one factor. Another factor would simply be whether the offspring live in an environment where they can get a good night's sleep on a regular basis. When I was in college, I lived for a year across the street from the emergency room of a major hospital, and I don't think I got uninterrupted sleep the entire year. I'm sure that my tested IQ would have been at least five points lower during that year simply because I was always borderline sleep-deprived. That doesn't reflect anything significant about my cognitive capacity except that I wasn't smart enough to pick a quieter apartment.
"Regression to the mean" includes
all the factors that make different people test differently or the same people test differently at different times.
Doesn't saying that nonenvironmental luck (the luck of how the parental genes combine in the offspring) contributes to regression to the mean presume that human adult IQ is keyed to a certain mean as a species?
I don't know what you mean by "keyed to" in this context. Human IQ has a mean (defined by the test scaling procedures as 100). But there's nothing special about that.
Any data set has a mean.
And yes, human IQ does follow an approximately bell-shaped curve around the mean.
Otherwise I would think luck would be equally likely to go either way: two parents with a 120 IQ would be equally likely to have nonenvironmental (genetic) luck result in them having an offspring with a higher IQ as a lower IQ if it wasn't the case that we'd be keyed to a mean IQ as a species.
First, non-environmental != genetic.
But second, you're not looking at the full picture. We can think of it this way. Our hypothetical parent has a measured IQ of 120. Some of that component is genetic, some of it is not. If we could somehow isolate the "intelligence" genes (which we can't, even theoretically, because the nature/nuture debate doesn't run that way), we might find any of the following situations
* His "genetic" IQ should be 130, but he had a rough childhood and a bad morning on testing day, which lowered his score by 10 points.
* His "genetic" IQ should be 110, but he got really lucky with his second form teacher and was feeling his oats that morning, so he got 10 bonus points
* His "genetic" IQ should be 120 and he had an "average" life and day.
Which is most likely?
Well, given that IQ follows a bell-shaped curve, people with IQs of 110 are much more common than people with IQs of 130. So, just as if you pick a person at random on the streets of Tokyo, you're more likely to pick a person who speaks Japanese than Swahili, so is he more likely to have an IQ of 110 than 130. Which means that his children are likely to inherit his "genetic" IQ of 110 and then have a "normal" day on top of that -- his children will probably test at 110. Voila --- regression to the mean.
Notice that this applies even if his children are exact clones of him. We don't need to worry about the mother's contribution or possible mutations or wierd genetic effects at all to get this effect.