Suppose IQ scores were obtained for 20 randomly selected sets of couples. The 20 pairs of measurements yield x = 101.02, y = 100.75, r= 0.852, P-value = 0.000, and y = 5.93 + 0.94x, where x represents the lQ score of the husband. Find the best predicted value of y given that the husband has an IQ d 100? Use a significance level of 0.05. Click the icon to view the critical values of the Pearson correlation coefficient r. The best predicted value of y is. Round to two decimal places as needed.) Critical values of the pearson correlation coefficient r Critical Values of the Pearson Correlation Coefficient r a = 0.05 a = 0.01 NOTE: To test Ho: p=0 Jagainst H,: p#0, reject Ho if the absolute value of r is greater than the critical value in the table. 4 0.950 0.990 5 0.878 0.959 0.811 0.754 0.917 7 0.875 0.707 0.666 8 0.834 0.798 0.632 0.602 0.576 10 0.765 11 0.735 12 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 0.361 0.335 0.312 0.294 30 0.463 35 0.430 40 0.402 45 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 0.196 a = 0.05 100 0.256 a = 0.01
Suppose IQ scores were obtained for 20 randomly selected sets of couples. The 20 pairs of measurements yield x = 101.02, y = 100.75, r= 0.852, P-value = 0.000, and y = 5.93 + 0.94x, where x represents the lQ score of the husband. Find the best predicted value of y given that the husband has an IQ d 100? Use a significance level of 0.05. Click the icon to view the critical values of the Pearson correlation coefficient r. The best predicted value of y is. Round to two decimal places as needed.) Critical values of the pearson correlation coefficient r Critical Values of the Pearson Correlation Coefficient r a = 0.05 a = 0.01 NOTE: To test Ho: p=0 Jagainst H,: p#0, reject Ho if the absolute value of r is greater than the critical value in the table. 4 0.950 0.990 5 0.878 0.959 0.811 0.754 0.917 7 0.875 0.707 0.666 8 0.834 0.798 0.632 0.602 0.576 10 0.765 11 0.735 12 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 0.361 0.335 0.312 0.294 30 0.463 35 0.430 40 0.402 45 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 0.196 a = 0.05 100 0.256 a = 0.01
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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![### Transcription of Content for Educational Website
**Problem Statement:**
Suppose IQ scores were obtained for 20 randomly selected sets of couples. The 20 pairs of measurements yield \(\bar{x} = 101.02\), \(\bar{y} = 100.75\), \(r = 0.852\), \(P\text{-value} = 0.000\), and \(\hat{y} = 5.93 + 0.94x\), where \(x\) represents the IQ score of the husband.
**Task:**
Find the best predicted value of \(\hat{y}\) given that the husband has an IQ of 100. Use a significance level of 0.05.
**Solution Entry:**
The best predicted value of \(\hat{y}\) is [____].
(Round to two decimal places as needed.)
**Considerations:**
Click on the icon to view the critical values of the Pearson correlation coefficient \(r\).
---
**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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2731a74b-0add-4fc5-b627-4c578fe40a02%2Ff9897b61-fad1-4c71-94a7-e202e4a4d69e%2Fev10mpa_processed.png&w=3840&q=75)
Transcribed Image Text:### Transcription of Content for Educational Website
**Problem Statement:**
Suppose IQ scores were obtained for 20 randomly selected sets of couples. The 20 pairs of measurements yield \(\bar{x} = 101.02\), \(\bar{y} = 100.75\), \(r = 0.852\), \(P\text{-value} = 0.000\), and \(\hat{y} = 5.93 + 0.94x\), where \(x\) represents the IQ score of the husband.
**Task:**
Find the best predicted value of \(\hat{y}\) given that the husband has an IQ of 100. Use a significance level of 0.05.
**Solution Entry:**
The best predicted value of \(\hat{y}\) is [____].
(Round to two decimal places as needed.)
**Considerations:**
Click on the icon to view the critical values of the Pearson correlation coefficient \(r\).
---
**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
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