Suppose lQ scores were obtained from randomly selected siblings For 20 such pair

Question

Suppose lQ scores were obtained from randomly selected siblings For 20 such pairs of people, the linear correlation coefficient is 0 857 and the equation of the regression line is y 31+1.02x, where x represents the 1Q score of the older child Also, the 20 x values have a mean of 104 38 and the 20 y values have a mean of 103.6. What is the best predicted IQ of the younger child, given that the older child has an IQ of 95? Use a significance level of 0.05 Click the icon to view, the critical values of the Pearson correlation coefficient r The best predicted 1Q of the younger child is Round to two decimal places as needed)

Explanation / Answer

Image - 1: The correlation is significant so

Best predicted value = 3.1 + 1.02*95 = 100

Image - 2: The correlation is not significant so

Best predicted value = Sample mean = 77.1

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