Suppose IQ scores were obtained from randomly selected siblingssiblings. For 20

Question

Suppose IQ scores were obtained from randomly selected siblingssiblings. For 20 such pairs of people, the linear correlation coefficient is 0.864 and the equation of the regression line is ModifyingAbove y with caret equals 18.6 plus 0.81 xy=18.6+0.81x, where x represents the IQ score of the older childolder child. Also, the 20 x values have a mean of 100.48 and the 20 y values have a mean of 100.05. What is the best predicted IQ of the younger childyounger child, given that the older childolder child has an IQ of 106? Use a significance level of 0.05.

Explanation / Answer

What is the best predicted IQ of the younger childyounger child, given that the older childolder child has an IQ of 106?

As

y=18.6+0.81x

Then if x = 106, then the best predicted IQ of the younger child is

y^ =18.6+0.81*106 = 104.46 [ANSWER]

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Note: The other givens won't matter for this problem. We just need the point estimate. Thanks!

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