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 0.866 and the equation of the regression line is y 6.64+0.91x, where x represents the lQ score of the older child. Also, the 20 x values have a mean of 98.67 and the 20 y values have a mean of 96.9. What is the best predicted IQ of the younger child, given that the older child has an IQ of 107? Use a significance level of 0.05 Click the icon to view the critical values of the Pearson correlation coefficient r The best predicted IQ of the younger child is (Round to two decimal places as needed.)

Explanation / Answer

as critical value of correlation coefficient for n=20 is 0.444,

therefore test stat r= 0.866 is in critical region; which conclude that there is significant linear relationship between x and y.

therefore best predicted IQ of younger child =6.64+0.91*107=104.01

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