Annual high temperatures in a certain location have been tracked for several years. Let X represent the year and Y the high temperature. Based on the data shown below, calculate the correlation coefficient (to three decimal places) between X and Y. Use your calculator! y 5 25.72 6 24.19 7 23.86 8 26.33 22.4 10 23.57 11 21.74 12 21.51 13 22.18 14 23.35 15 21.42 16 22.89 17 20.66 18 21.43 19 21.8 r =

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### Correlation Coefficient Calculation

Annual high temperatures in a certain location have been tracked for several years. Let \( X \) represent the year and \( Y \) the high temperature. Based on the data shown below, calculate the correlation coefficient (to three decimal places) between \( X \) and \( Y \). Use your calculator!

#### Data Table

| \( x \) | \( y \)  |
|---------|----------|
| 5       | 25.72    |
| 6       | 24.19    |
| 7       | 23.86    |
| 8       | 26.33    |
| 9       | 22.44    |
| 10      | 23.57    |
| 11      | 21.74    |
| 12      | 21.51    |
| 13      | 22.18    |
| 14      | 23.35    |
| 15      | 21.42    |
| 16      | 22.89    |
| 17      | 20.66    |
| 18      | 21.43    |
| 19      | 21.8     |

\[ r = \]

Enter the calculated correlation coefficient \( r \) here.
Transcribed Image Text:### Correlation Coefficient Calculation Annual high temperatures in a certain location have been tracked for several years. Let \( X \) represent the year and \( Y \) the high temperature. Based on the data shown below, calculate the correlation coefficient (to three decimal places) between \( X \) and \( Y \). Use your calculator! #### Data Table | \( x \) | \( y \) | |---------|----------| | 5 | 25.72 | | 6 | 24.19 | | 7 | 23.86 | | 8 | 26.33 | | 9 | 22.44 | | 10 | 23.57 | | 11 | 21.74 | | 12 | 21.51 | | 13 | 22.18 | | 14 | 23.35 | | 15 | 21.42 | | 16 | 22.89 | | 17 | 20.66 | | 18 | 21.43 | | 19 | 21.8 | \[ r = \] Enter the calculated correlation coefficient \( r \) here.
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