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 0.782 and the equation of the regression line is y 2.56+ 0.98x, where x represents the IQ score of the younger child. Also, the 20 x values have a mean of 94.59 and the 20 y values have a mean of 95.55. What is the best predicted IQ of the older child, given that the younger child has an IQ of 110? 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 older child is Round to two decimal places as needed.)

Explanation / Answer

for (n-2=18) degree of freedom and 0.05 level critical value of r=0.4438

as test statistic r=0.782 is higher than critical value we can use above equation to predict IQ of older child

predicted IQ =2.56+0.98*110=110.36

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