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 0.941 and the equation of the regression line is y = 5.26 + 1.04x, where x represents the la score of the older child. Also, the 20 x values have a mean of 98.11 and the 20 y values have a mean 96.35. What is the best predicted IQ of the younger child, given that the older child has an IQ of 105? Use a significance level of 0.05. The best predicted IQ of the younger child is .

Explanation / Answer

We have been given the regression equation:

y^ = -5.26+1.04x

Lets put the value of 1-5 in x, as IQ.

y^ = -5.26+1.04*105 = 103.94 or 104

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