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

Question

Suppose IQ scores were obtained from randomly selected twins. For 20 such pairs of people, the linear correlation coefficient is 0.882 and the equation of the regression line is

ModifyingAbove y with caret =3.71+1.06x, where x represents the IQ score of the twin born second. Also, the 20x values have a mean of 100.73 and the 20y values have a mean of 102.85. What is the best predicted IQ of the twin born firsttwin born first, given that the twin born second has an IQ of 92? Use a significance level of 0.05.

The best predicted IQ of the twin born first is

Explanation / Answer

here for (n-2=18) degree of freeedom ; critical value of correlation coefficient =0.4438

as test statistic correlation coefficient 0.882 is greater than critical value we have evidence that there is linear relationship and we can use LSR to predict IQ

hence  predicted IQ =-3.71+1.06*92=93.81

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