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

Question

Suppose IQ scores were obtained from randomly selected siblings. For 20 such pairs of people, the linear correlation coeffiecient is 0.896 and the equation of the regression line is y=-6.54 + 1.06x where x represents the IQ score of the older child. Also, the 20x values have a mean of 103.02 and the 20y values have a mean of 102.9. What is the best predicted IQ of the younger child, given that the older child has an IQ of 91? Use a significance level of 0.05.

The best predicted IQ of the younger child is_______

Explanation / Answer

Suppose IQ scores were obtained from randomly selected siblings. For 20 such pairs of people, the linear correlation coeffiecient is 0.896 and the equation of the regression line is y=-6.54 + 1.06x where x represents the IQ score of the older child. Also, the 20x values have a mean of 103.02 and the 20y values have a mean of 102.9. What is the best predicted IQ of the younger child, given that the older child has an IQ of 91? Use a significance level of 0.05.

y= -6.54 + 1.06x

x=91

y = -6.54 + 1.06*91 = 89.92

The best predicted IQ of the younger child is 89.92

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