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 0.903 and the equation of the regression line is y = -92 + 1.1x, where x represents the IQ score of the older child. Also, the 20 x values have a mean of 96.24 and the 20 y values have a mean of 97. 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. (Round to two decimal places as needed.)

Explanation / Answer

The correlation given is 0.903 which is very high so we can say that there is a significance relationship between IQ score of younger child and IQ score of older child and therefore, IQ score of older child can be used to predict the IQ score of younger child.

Given equation,

y = -9.2 + 1.1x

For x = 91,

y = -9.2 + 1.1(91)

y = 90.9

Therefore,

The best predicted IQ of the younger child is 90.9

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