Suppose IQ scores were obtained from randomly selected siblings. For 20 such pai
ID: 3133118 • Letter: S
Question
Suppose IQ scores were obtained from randomly selected siblings. For 20 such pairs of people, the linear correlation coefficient is 0.815 and the equation of the regression line is y=17.9+0.84x, where x represents the IQ score of the younger child. Also, the 20 x values have a mean of 101.97 and the 20 y values have a mean of 103.95. What is the best predicted IQ of the older child, given that the younger child has an IQ of 110?
Use a significance level of 0.05.
Click the icon to view the critical values of the Pearson correlation coefficient r
The best predicted IQ of the older child is ___
(Round to two decimal places as needed.)
Explanation / Answer
As
y=17.9+0.84x
Then if x = 110,
y^=17.9+0.84*110 = 110.3 [ANSWER]
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Hi! For just the best predicted value, we really just simply substitute x. The other givens would not matter for this part. Thanks!
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