Question

Suppose IQ scores were obtained for 20 randomly selected sets of twins. The 20 pairs of measurements yield x overbarequals103.26​, y overbarequals102.05​, requals0.897​, ​P-valueequals​0.000, and ModifyingAbove y with caret equals negative 13.47 plus 1.12 x​, where x represents the IQ score of the twin born first. Find the best predicted value of ModifyingAbove y with caret given that the twin born first has an IQ of 105​? Use a significance level of 0.05.

Answer 1

The value is
`P = 131.07`

Step -by -step -explanation :

From the question we are old that

The sample size is n = 20

The sample mean for the first person of each twin is
`\= x = 100.45`

The sample mean for the second person of each twin is
`\= y = 103`

The correlation between both data is r = 0.908

The p-value is p-value = 0.000

The equation
`\^ y = 13.47 + 1.12 x`

Here we are told that x represents the first person to be given birth to among each twin

The value of x considered is x = 105

Generally given that p-value = 0.000

Then the Predicted value of
`\^ y` is mathematically represented as

`P = 13.47 + 1.12 (105)`

=>
`P = 131.07`