In a population, the correlation coefficient between family income and child IQ is 0.30. The mean family income was $60,000. The standard deviation in income is $20,000. IQ is measured on a scale such that the mean is 100, and the standard deviation is 15.
(a) Using this information, predict the expected IQ of a child whose family income is $70,000
(b) How reliable do you expect this prediction to be? Why? (your answer should be a property of correlation, not an about IQ)
(c) The family income now rises does the correlation predict that the child will have a higher IQ? Why? opinion
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