Question

Suppose IQ scores were obtained from randomly selected

sibling

20 such pairs of​ people, the linear correlation coefficient is

0.853

and the equation of the regression line is

Modifying Above y with caret equals 16.83 plus 0.83 xy=16.83+0.83x​,

where x represents the IQ score of the

younger child younger child.

​Also, the

2020

x values have a mean of

100.77

and the

20

y values have a mean of

100.85

What is the best predicted IQ of the

older childolder child​,

given that the

younger child has an IQ of

96?

Use a significance level of 0.05.

Answer 1

since at n=20, and 0.05 level of significance, critical r= 0.444,

for correlation coefficient r=0.853 is greater than crtiical value we can use regression equation for prediction

best predicted IQ =16.83+0.83*96 =96.51