This is a follow up on What can I do to a 6-month-old child so she ends up smart and has a high IQ?. A comment left by @chasly mentions that:
High IQ is not something that can be trained. You can train people to do well in IQ tests by giving them practice but their actual IQ will depend on genetics. High IQ does not correlate with happiness. "Doing" something to your child sounds more like torture than a benefit.
What is current scientific consensus on how well parents can affect their future child's intelligence? Is there a significant correlation between parenting efforts and outcomes, or does intelligence primarily depend on one's genetics and peers of the same age? Please note that I'm only interested in scientific research rather than personal anecdotes.
Measures of "intelligence" that I'm primarily interested in, from best to worst: income percentile, maximum attained education level, GPA scores, IQ tests.