Suppose IQ scores were obtained from randomly selected siblings. For 20 such pairs of people, the linear correlation coefficient is 0.867 and the equation of the regression line is y = 3.57 +0.97x, where x represents the IQ score of the younger child. Also, the 20 x values have a mean of 96.75 and the 20 y values have a mean of 97.1. What is the best predicted IQ of the older child, given that the younger child has an IQ of 95? 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.)

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**IQ Score Prediction Analysis**

Suppose IQ scores were obtained from randomly selected siblings. For 20 such pairs of people, the linear correlation coefficient is 0.867, and the equation of the regression line is:

\[ \hat{y} = 3.57 + 0.97x \]

where \( x \) represents the IQ score of the younger child. Also, the 20 \( x \) values have a mean of 96.75, and the 20 \( y \) values have a mean of 97.1. What is the best-predicted IQ of the older child, given that the younger child has an IQ of 95? 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.)
Transcribed Image Text:**IQ Score Prediction Analysis** Suppose IQ scores were obtained from randomly selected siblings. For 20 such pairs of people, the linear correlation coefficient is 0.867, and the equation of the regression line is: \[ \hat{y} = 3.57 + 0.97x \] where \( x \) represents the IQ score of the younger child. Also, the 20 \( x \) values have a mean of 96.75, and the 20 \( y \) values have a mean of 97.1. What is the best-predicted IQ of the older child, given that the younger child has an IQ of 95? 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.)
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