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Suppose IQ scores were obtained for 20 randomly selected sets of siblings. The 20 pairs of...

Suppose IQ scores were obtained for 20 randomly selected sets of siblings. The 20 pairs of measurements yield x overbarequals102.21​, y overbarequals101.7​, requals0.872​, ​P-valueequals​0.000, and ModifyingAbove y with caret equals 17.62 plus 0.82 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 93​? Use a significance level of 0.05.

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Answer #1

We are to find the best predicted value of , that is, the predicted value of the variable. Here, in the question, we are given the linear regression line and we are to use this to get the best predicted value.
The regression line is given as: .
We are to substitute the value of now. Here, = IQ score of younger child = 93.
Hence, = 17.62 + (0.82 * 93) = 93.88.

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