Question

Suppose IQ scores were obtained from randomly selected couples. For 20 such pairs of people, the linear correlation coefficient is 0.939 and the equation of the regression line is y = -11 + 1.14x, where x represents the IQ score of the husband. Also, the 20 x values have a mean of 100.9 and the 20 y values have a mean of 100.9. What is the best predicted IQ of the wife, that the husband has an IQ of 100? Use a significance level of 0.05. The best predicted IQ of the wife is ______. (Round to two decimal places as needed.)

Answer 1

The wife IQ is 103 when the husband IQ is 100.

Explanation:

The given equation of the regression line is y = -11 + 1.14x, where x represents the IQ score of the husband.

If the husband IQ is 100 the the wife IQ is

y = -11 + 1.14x,

y = -11 + 1.14(100)

y = -11 + 114

y = 103