What kind of associations do you find if you compare the data set of IQ vs. GPA with the data set of IQ vs. SAT? Are GPAs and SAT scores correlated? Explain.

IQ scores and GPAs are positively correlated with a strong relationship. Similarly, IQ and SAT scores are positively correlated with a strong relationship. Because the variable IQ is in both sets, there is likely to be a relationship between the other two variables, GPAs and SAT scores.

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fichoh fichoh · Answer 2 · 2021-11-04T18:34:51+01:00

Correlation is a measure which describes if an association or relationship exists between two variables. Since there is a positive relationship between IQ and both GPA and SAT score, then GPA and SAT should correlate.

IQ and SAT score exhibit a strong linear relationship which denotes that students with high IQ score tends to have a high SAT score and vice versa.

Similarly, IQ and GPA also exhibit a strong positive relationship, with high IQ score most likely attributed to high GPA scores and vice versa.

Since both GPA and SAT score are correlated with IQ score, then GPA and SAT should be correlated.

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