Question

Suppose IQ scores were obtained from randomly selected couples. For 20 such pairs of​ people, the linear correlation coefficient is 0.877 and the equation of the regression line is y= -14.38 + 1.14x​, where x represents the IQ score of the wife. ​Also, the 20x values have a mean of 105.21 and the 20y values have a mean of 105.1. What is the best predicted IQ of the husband​, given that the wife has an IQ of 91​? Use a significance level of 0.05.

Critical Values of the Pearson Correlation coefficient Х NOTE: To test Ho: p= 0 against Hi: p*0, reject Ho if the absolute value of r is greater than the critical value in the table. Critical Values of the Pearson Correlation coefficient r n a = 0.05 a = 0.01 4 0.950 0.990 5 0.878 0.959 6 0.811 0.917 7 0.754 0.875 8 0.707 0.834 9 0.666 0.798 10 0.632 0.765 11 0.602 0.735 12 0.576 0.708 13 0.553 0.684 14 0.532 0.661 15 0.514 0.641 16 0.497 0.623 17 0.482 0.606 18 0.468 0.590 19 0.456 0.575 20 0.444 0.561 25 0.396 0.505 30 0.361 0.463 35 0.335 0.430 Print Done

Answer 1

y= -14.38 + 1.14*91 = 89.36