Suppose 10 scores were obtained from randomly selected twins. For 20 such pairs

Question

Suppose 10 scores were obtained from randomly selected twins. For 20 such pairs of people, the linear correlation coeffcient is 0 876 and the equation of the regression line is -14.61 +086x, where x represents the I0 score of the twin borm frst. Also, the 20 x values have a mean of 97.11 and the 20 y values have a mean of 97.95. What is the best predicted 1Q of the twin born second, given that the twin born first has an IO of 91? Use a significance level of 0.05 Click the icon to view the critical values of the Pearson correlation coefficient The best predicted IQ of the twin born second is Round to two decimal places as needed.)

Explanation / Answer

Ans:

1)

Given that

Regression eqn:

y'=14.61+0.86x

When x=91

y'=14.61+0.86*91=92.87

2)

90% confidence interval for p1-p2

=(0.26-0.29)+/-1.645*SQRT((0.26*(1-0.26)/225)+(0.29*(1-0.29)/260))

=-0.03+/-0.067

=(-0.097, 0.037)

Option D is correct(since the interval contains 0,there is no evidence of a gender gap)

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