
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]


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In regression analysis, for n pairs of randomly selected data (x<sub>i</sub>, y<sub>i</sub>) (i=1, 2, …, n) of x and y, the sample correlation coefficient r has which of the following properties:  
(1) $|r| \leq 1$;  
(2) The closer $|r|$ is to 1, the weaker the linear correlation between x and y;  
(3) The closer $|r|$ is to 1, the stronger the linear correlation between x and y;  
(4) The closer $|r|$ is to 0, the stronger the linear correlation between x and y;  
Please write out the correct serial numbers:    .

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