The accompanying data represent the percentages of teenagers in various countries that have used certain drugs. Complete parts (a) through (c) below. Country Drug 1, x Other Drugs, y K 54 33 25 A B E H. J 18 41 5 36 18 24 6 8 21 4 22 1 17 8 14 3 2 32 a. Determine the correlation coefficient between the percentage of teenagers who have used Drug 1 and the percentage who have used other drugs.

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**Educational Website Transcription:**

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The accompanying data represent the percentages of teenagers in various countries that have used certain drugs. Complete parts (a) through (c) below.

| Country     | A  | B  | C  | D  | E  | F  | G  | H  | I  | J  | K  |
|-------------|----|----|----|----|----|----|----|----|----|----|----|
| Drug 1, x   | 21 | 18 | 41 |  5 | 36 | 18 | 24 |  6 |  8 | 54 | 33 |
| Other Drugs, y | 5  | 4  | 22 |  1 | 17 |  8 | 14 |  3 |  2 | 32 | 25 |

**a. Determine the correlation coefficient between the percentage of teenagers who have used Drug 1 and the percentage who have used other drugs.**

- \( r = \) [ ]

(Round to two decimal places as needed.)

**Graph/Diagram Explanation:**

The table presents data on two variables across multiple countries. "Drug 1, x" shows the percentage of teenagers who have used a specific drug in each country, labeled A through K. "Other Drugs, y" indicates the percentage of teenagers who have used other drugs in these same countries. The task is to calculate the correlation coefficient, \( r \), which quantifies the strength and direction of the linear relationship between these two sets of percentages.

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Transcribed Image Text:**Educational Website Transcription:** --- The accompanying data represent the percentages of teenagers in various countries that have used certain drugs. Complete parts (a) through (c) below. | Country | A | B | C | D | E | F | G | H | I | J | K | |-------------|----|----|----|----|----|----|----|----|----|----|----| | Drug 1, x | 21 | 18 | 41 | 5 | 36 | 18 | 24 | 6 | 8 | 54 | 33 | | Other Drugs, y | 5 | 4 | 22 | 1 | 17 | 8 | 14 | 3 | 2 | 32 | 25 | **a. Determine the correlation coefficient between the percentage of teenagers who have used Drug 1 and the percentage who have used other drugs.** - \( r = \) [ ] (Round to two decimal places as needed.) **Graph/Diagram Explanation:** The table presents data on two variables across multiple countries. "Drug 1, x" shows the percentage of teenagers who have used a specific drug in each country, labeled A through K. "Other Drugs, y" indicates the percentage of teenagers who have used other drugs in these same countries. The task is to calculate the correlation coefficient, \( r \), which quantifies the strength and direction of the linear relationship between these two sets of percentages. ---
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