
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
For the correlation coefficient $r$ between two variables, consider the following statements: (1) The larger $|r|$, the greater the degree of correlation; (2) The smaller $|r|$, the greater the degree of correlation; (3) When $|r|$ is close to 0, there is no non-linear correlation; (4) The closer $|r|$ is to 1, the stronger the degree of linear correlation. The correct statement(s) is/are ______.

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