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Suppose IQ scores were obtained from randomly selected siblings. For 20 such pai

ID: 3157549 • Letter: S

Question

Suppose IQ scores were obtained from randomly selected siblings. For 20 such pairs of people, the linear correlation coefficient is 0.790 and the equation of the regression line is Modifying Above y with caret equals 16.68 plus 0.83 xy=16.68+0.83x, where x represents the IQ score of the older child. Also, the 20 x values have a mean of 98.83 and the 20 y values have a mean of 99. What is the best predicted IQ of the younger child, given that the older child has an IQ of 92? Use a significance level of 0.05.

Explanation / Answer

The best predicted IQ of the younger child, given that the older child has an IQ of 92 is:

y=16.68+0.83*92

=93.04

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