Question

Suppose IQ scores were obtained for 20 randomly selected sets of siblings. The 20 pairs of measurements yield x overbarequals103.29​, y overbarequals103.75​, requals0.899​, ​P-valueequals​0.000, and ModifyingAbove y with caret equals negative 9.5 plus 1.1 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 105​? Use a significance level of 0.05.

Answer 1

106

Explanation:

Given :

Number of the set of siblings = 20

This 20 pair yields
`$\overline x$` = 103.29,
`$\overline y$` = 103.75, requals = 0.899, P-value = 0.000

Let x represents the IQ score of the younger child.

And y is the predicted value of Y(^).

So according to the question,

x = 105

and y = -9.5 + 1.1 x

Then,

y = -9.5 + 1.1 (105)

y = -9.5 + 115.5

y = 106

So the best predicted value of Y(^) is 106