otained for 20 randomly selected sets of siblings. The 20 pairs of measurements yield x = 99.21, y = 1 =presents the IQ score of the older child. Find the best predicted value of y given that the older child H the critical values of the Pearson correlation coefficient r. of ý is ces as needed.)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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**Analysis of Sibling IQ Scores**

Suppose IQ scores were obtained for 20 randomly selected sets of siblings. The 20 pairs of measurements yield statistics as follows: 
- Mean IQ score of older child (\( \bar{x} \)) = 99.21
- Mean IQ score of younger child (\( \bar{y} \)) = 101.2
- Pearson correlation coefficient (\( r \)) = 0.698
- P-value = 0.000

The regression equation used for prediction is:
\[ \hat{y} = 21.92 + 0.8x \]
where \( x \) represents the IQ score of the older child. 

**Objective:** Find the best predicted value of \( \hat{y} \) given that the older child has an IQ of 92. A significance level of 0.05 is used for the analysis.

Instruction: Click the icon to view the critical values of the Pearson correlation coefficient \( r \).

**Best Predicted Value Calculation**
The best predicted value of \( \hat{y} \) is [input required].
*(Round to two decimal places as needed.)*
Transcribed Image Text:**Analysis of Sibling IQ Scores** Suppose IQ scores were obtained for 20 randomly selected sets of siblings. The 20 pairs of measurements yield statistics as follows: - Mean IQ score of older child (\( \bar{x} \)) = 99.21 - Mean IQ score of younger child (\( \bar{y} \)) = 101.2 - Pearson correlation coefficient (\( r \)) = 0.698 - P-value = 0.000 The regression equation used for prediction is: \[ \hat{y} = 21.92 + 0.8x \] where \( x \) represents the IQ score of the older child. **Objective:** Find the best predicted value of \( \hat{y} \) given that the older child has an IQ of 92. A significance level of 0.05 is used for the analysis. Instruction: Click the icon to view the critical values of the Pearson correlation coefficient \( r \). **Best Predicted Value Calculation** The best predicted value of \( \hat{y} \) is [input required]. *(Round to two decimal places as needed.)*
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