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 0.934 and the equation of the regression line is y^Hat = -21.34 + 1.21x, where x represents the lQ score of the twin born second. Also, the 20 x values have a mean of 101.24 and the 20 y values have a mean of 100.7. What is the best predicted IQ of the twin born first, given that the twin born second has an IQ of 110? Use a significance level of 0.05. Click the icon to view the critical values of the Pearson correlation coefficient r. The best predicted IQ of the twin born first is ___. (Round to two decimal places as needed.)

Explanation / Answer

Given here, x = 110 which is the IQ of the twin born second.

To calculate the best predicted IQ value of the twin born first, put the value of x = 110 into the regression equation: we get

y^ = - 21.34 + 1.21x

    = - 21.34 + 1.21(110)

    = 99.66

Hence, the best predicted IQ value of the twin born first is 99.66.

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.