
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
Which of the following conclusions is correct?  
(1) Based on the data in a 2×2 contingency table, if it is calculated that $\chi^2 \geq 6.635$ and $P(\chi^2 \geq 6.635) \approx 0.01$, then there is a 99% confidence that the two categorical variables are related.  
(2) In linear regression analysis, if the correlation coefficient is $r$, the closer $|r|$ is to 1, the stronger the correlation; the smaller $|r|$, the weaker the correlation.  
(3) In regression analysis, the regression line equation $\hat{y} = bx + a$ passes through point $A(\overline{x}, \overline{y})$.  
(4) In the regression line $y = 0.5x - 85$, when the variable $x = 200$, the value of variable $y$ is definitely 15.

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