
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given a set of data between variables $x$ and $y$ as shown in the table, the correlation coefficient $r$ between variables $x$ and $y$ is ____.

| $x$   | $6$ | $8$ | $10$ | $12$ |
|-------|-----|-----|------|------|
| $y$   | $6$ | $5$ | $3$  | $2$  |

Present the answer in LaTex format: \boxed{Your answer}
user