Question

Suppose IQ scores were obtained for 20 randomly selected sets of siblings. The 20 pairs of measurements yield x overbarequals102.04​, y overbarequals101.55​, requals0.856​, ​P-valueequals​0.000, and ModifyingAbove y with caret equals 25.05 plus 0.75 x​, where x represents the IQ score of the younger child. Find the best predicted value of ModifyingAbove y with caret given that the younger child has an IQ of 95​? Use a significance level of 0.05.

Answer 1

96.3

Explanation:

The equation for predicting variable y is

y=25.05+0.75x.

Here x is the IQ of younger child.

We have to find the predicted value of y given that the younger child's IQ is 95. It can be computed by putting x=95 in the above equation.

So,

y=25.05+0.75*95

y=25.05+71.25

y=96.3

Thus, the best predicted value of y given that the younger child has an IQ of 95​ is 96.3.