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

ID: 2947343 • Letter: S

Question

Suppose IQ scores were obtained from randomly selected siblings. For 20 such pairs of people, the linear correlation coefficient is 0.944 and the equation of the regression line is ^y= -11.95 + 1.17x, where x represents the IQ score of the younger child. Also, the 20 x values have a mean of 92.07 and the 20 y values have a mean of 96.1. What is the best predicted IQ of the older child, given that the younger child has an IQ of 106? Use a significance of 0.05.

The best predicted IQ of the older child is ?

Explanation / Answer

The linear correlation coefficient = 0.944

This is significant because it is greater than the critical value. Hence,

Best predicted IQ score = -11.95 + 1.17*106 = 112.07

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