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 coefficient is 0.881 and the equation of the regression line is ModifyingAbove y with caret equals negative 4.25 plus 1.04 x, where x represents the IQ score of the older child. Also, the 20 x values have a mean of 102.61 and the 20 y values have a mean of 102.35. What is the best predicted IQ of the younger child, given that the older child has an IQ of 97? Use a significance level of 0.05.

Explanation / Answer

Suppose IQ scores were obtained from randomly selected siblings. For 20 such pairs of people, the linear correlation coefficient is 0.881 and the equation of the regression line is ModifyingAbove y with caret equals negative 4.25 plus 1.04 x, where x represents the IQ score of the older child. Also, the 20 x values have a mean of 102.61 and the 20 y values have a mean of 102.35. What is the best predicted IQ of the younger child, given that the older child has an IQ of 97? Use a significance level of 0.05.

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