Suppose IQ scores were obtained from randomly selected twins. For 20 such pairs of​ people, the linear correlation coefficient is 0.892 and the equation of the regression line is Modifying Above y=...


Suppose IQ scores were obtained from randomly selected
twins. For 20 such pairs of​ people, the linear correlation coefficient is 0.892 and the equation of the regression line is

Modifying Above y= -1.91 + 1.01 x, where x represents the IQ score of the twin born the second. Also, the 20 x values have a mean of

100.07 and the 20 y values have a mean of 98.8

What is the best predicted IQ of the twin born first twin born first​,
given that the twin born second twin born second
has an IQ of 96​?
Use a significance level of 0.05.

Click the icon to view the critical values of the Pearson correlation coefficient r.

































































































































































Critical Values of the Pearson Correlation Coefficient r


​NOTE: To test
H0​:

rhoρequals=0

against
H1​:

rhoρnot equals≠​0,

reject
H0

if the absolute value of r is greater than the critical value in the table.


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


40


0.312


0.402


45


0.294


0.378


50


0.279


0.361


60


0.254


0.330


70


0.236


0.305


80


0.220


0.286


90


0.207


0.269


100


0.196


0.256


n



a=0.05




a=0.01





Jun 02, 2022
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