**Critical Values of the Pearson Correlation Coefficient r**The table below presents the critical values of the Pearson correlation coefficient (r) for different sample sizes (n) at two significance levels: α = 0.05 and α = 0.01.| n | α = 0.05 | α = 0.01 ||-----|----------|----------|| 9 | 0.666 | 0.798 || 10 | 0.632 | 0.765 || 11 | 0.602 | 0.735 || 12 | 0.576 | 0.708 || 13 | 0.553 | 0.684 || 14 | 0.532 | 0.661 || 15 | 0.514 | 0.641 || 16 | 0.497 | 0.623 || 17 | 0.482 | 0.606 || 18 | 0.468 | 0.590 || 19 | 0.456 | 0.575 || 20 | 0.444 | 0.561 || 25 | 0.396 | 0.505 || 30 | 0.361 | 0.463 || 35 | 0.335 | 0.430 || 40 | 0.312 | 0.402 || 45 | 0.294 | 0.378 || 50 | 0.279 | 0.361 || 60 | 0.254 | 0.330 || 70 | 0.236 | 0.305 || 80 | 0.220 | 0.286 || 90 | 0.207 | 0.269 || 100 | 0.196 | 0.256 |### Explanation- **n**: Represents the sample size.- **α = 0.05**: The critical value of r at a 5 Suppose IQ scores were obtained for 20 randomly selected sets of siblings. The 20 pairs of measurements yield \( \bar{x} = 99.49 \), \( \bar{y} = 100.1 \), \( r = 0.884 \), P-value = 0.000, and \( y = 6.29 + 0.94x \), where \( x \) represents the IQ score of the younger child. Find the best predicted value of \( \hat{y} \) given that the younger child has an IQ of 104? Use a significance level of 0.05.**The best predicted value of \( \hat{y} \) is** [Input Box](Round to two decimal places as needed.)---**Critical Values of the Pearson Correlation Coefficient r**| n | \( \alpha = 0.05 \) | \( \alpha = 0.01 \) ||----|---------------------|---------------------|| 4 | 0.950 | 0.990 || 5 | 0.878 | 0.959 || 6 | 0.811 | 0.917 || 7 | 0.754 | 0.875 || 8 | 0.707 | 0.834 || 9 | 0.666 | 0.798 || 10 | 0.632 | 0.765 || 11 | 0.602 | 0.735 || 12 | 0.576 | 0.708 || 13 | 0.553 | 0.684 || 14 | 0.532 | 0.661 || 15 | 0.514 | 0.641 || 16 | 0.497 | 0.623 || 17 | 0.482 | 0.606 || 18 | 0.468 | 0.590 || 19 | 0.456 | 0.575 || 20 | 0.444 | 0.561 || 25 | 0.396 | 0.505

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Answered: Suppose IQ scores were obtained for 20…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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