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.

Question

Mathematics

Maria Heath

26 January, 06:14

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.

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Answers (1)

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Mckenzie Proctor · Answer 1

96.3

Step-by-step 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.