X 81.4 31 81.4 32.3 70.7 1.4 59 -11.7 87.1 38.5 77.4 13.8 70.6 7.6 79.8 21.3 91.8 53.3 69.6 16.1 54.5 -12.4 70.3 7.5 68 16 12.3 41.9 21.2 10.3 15.6 13.2 8.7 This data can be downloaded as a *.csv file with this link: Download CSV 72.1 85.6 75.7 70.6 72.6 71.1 63.3 r = y Find the correlation coefficient and report it accurate to three decimal places. What proportion of the variation in y can be explained by the variation in the values of x? Report answer as a percentage accurate to one decimal place. R² = %

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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### Data Table

| x    | y     |
|------|-------|
| 81.4 | 31    |
| 81.4 | 32.3  |
| 70.7 | 1.4   |
| 59   | -11.7 |
| 87.1 | 38.5  |
| 77.4 | 13.8  |
| 70.6 | 7.6   |
| 79.8 | 21.3  |
| 91.8 | 53.3  |
| 69.6 | 16.1  |
| 54.5 | -12.4 |
| 70.3 | 7.5   |
| 68   | 16    |
| 72.1 | 12.3  |
| 85.6 | 41.9  |
| 75.7 | 21.2  |
| 70.6 | 10.3  |
| 72.6 | 15.6  |
| 71.1 | 13.2  |
| 63.3 | 8.7   |

This data can be downloaded as a *.csv file with this link: [Download CSV](#)

### Instructions

**Find the correlation coefficient** and report it accurate to three decimal places.

\( r = \) [Input Box]

**What proportion of the variation in y** can be explained by the variation in the values of x? Report the answer as a percentage accurate to one decimal place.

\( R^2 = \) [Input Box] %
Transcribed Image Text:### Data Table | x | y | |------|-------| | 81.4 | 31 | | 81.4 | 32.3 | | 70.7 | 1.4 | | 59 | -11.7 | | 87.1 | 38.5 | | 77.4 | 13.8 | | 70.6 | 7.6 | | 79.8 | 21.3 | | 91.8 | 53.3 | | 69.6 | 16.1 | | 54.5 | -12.4 | | 70.3 | 7.5 | | 68 | 16 | | 72.1 | 12.3 | | 85.6 | 41.9 | | 75.7 | 21.2 | | 70.6 | 10.3 | | 72.6 | 15.6 | | 71.1 | 13.2 | | 63.3 | 8.7 | This data can be downloaded as a *.csv file with this link: [Download CSV](#) ### Instructions **Find the correlation coefficient** and report it accurate to three decimal places. \( r = \) [Input Box] **What proportion of the variation in y** can be explained by the variation in the values of x? Report the answer as a percentage accurate to one decimal place. \( R^2 = \) [Input Box] %
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