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IQ scores are scaled to have an average of about 100, and an SD of about 15, for

ID: 3295322 • Letter: I

Question

IQ scores are scaled to have an average of about 100, and an SD of about 15, for both men and women. A large study of families found that the correlation between the IQs of husbands and their wives was about0.5. The scatterplot is football shaped (homoscedastic), and the residual plot shows no trend, and looks fine.24. The regression estimate of a wife’s IQ for a husband’s IQ of about 140 would be closest to

(a) 140

(b) 130

(c)120

(d) Can’t estimate from information given.

If we consider the husbands with an IQ of about 140, we would see that _______ half their wives have an IQ higher than 140.

(a) just about

(b)less than

(c) more than

(please show formulas used)

Explanation / Answer

The regression estimate of a wife's IQ for a husband's IQ of anout 140 would be closest to -

(d) Cant estimate from information given

If we consider the husbands with an IQ of about 140, we would see that (a) just about half their wives have an IQ higher than 140.

Reason Because the correlation coefficient is 0.5

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