SAT ≈ IQ: How to estimate your IQ from your SAT score

I found a study showing a strong correlation (r=0.82) between the SAT and IQ which I will share and provide comments on in this blog post.

Defining IQ and the SAT

IQ (Intelligence Quotient) is a score that’s derived from standardized tests. It correlates with performance across:

• Fluid reasoning: novel problem-solving
• Crystallized intelligence: acquired knowledge
• Visual processing: thinking with visual/spatial information
• Working memory: holding and working with information across a short period of time
• Processing speed: performance on fast, simple cognitive operations

The SAT is a test that many students take before applying to US colleges. College Board, the administrator of the SAT, does not describe the SAT as an aptitude test. It instead calls it a test that predicts preparedness for college by testing skills learned during high school. However, there is scientific data that suggests performance on the SAT is related to IQ.

The most accurate scoring SAT to IQ formula

Frey and Detterman (2004) found that IQ correlates with SAT with a correlation factor r=0.82.

Here’s a link to the complete article.

IQ = (0.095 × Math) + (−0.003 × Verbal) + 50.241

Note: due to multicollinearity in the regression model, the coefficient in front of 0.003 is indeed negative

Additional note: r=0.82 was found among a restricted range group