suppose iq scores were obtained from randomly selected twins. for 20 such people

Question

suppose iq scores were obtained from randomly selected twins. for 20 such people, the linear correlation coefficient is 0.897 and the equation of the regression line is y=0.05+1.01x, where x represents the iq score of the twin born first. Also the 20 x value have a mean of 103.46 and the 20 y values have a mean of 104.25. What is the best predicted IQ of the twin born second, given that the twin born first has an iq of 109? Use a significance level of 0.05. The best predicted IQ of the twin born second is? (Using pearson correlation coefficient r)

Explanation / Answer

The correlation is given as 0.897 which is a high and significant correlation between IQ score of first born twin and second born twin and hence, IQ score of first born twin is a good predictor for the IQ score of second born twin.

Given equation:

y = 0.05 + 1.01x

For x = 109,

y = 0.05 + 1.01(109)

y = 110.14

So,

The best predicted IQ score of twin born second is 110.14

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