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Suppose IQ scores were obtained from randomly selected twins. For 20 such pairs

ID: 3060904 • Letter: S

Question

Suppose IQ scores were obtained from randomly selected twins. For 20 such pairs of people, the linear correlation coefficient is 0.894 and the equation of the regression line is y = 2.51 + 0.96x, where x represents the IQ score of the twin bom first. Also, the 20 x values have a mean of 99.94 and the 20 y values have a mean of 98.65. What is the best predicted IQ of the twin born second, given that the twin born first has an IQ of 106? 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 twin born second is (Round to two decimal places as needed.)

Explanation / Answer

Since the correlation is significant, we will use regression equation to determine the best predicted IQ of twin born second.

For x = 106,

y = 2.51 + 0.96*106

y = 104.27

Hence,

The best predicted IQ of the twin born second = 104.27

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