
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
Among the following statements:
1. After adding or subtracting the same constant from each data point in a dataset, the variance remains unchanged;
2. Given a linear regression equation $\hat{y}=3-5x$, when the variable $x$ increases by 1 unit, $y$ increases by an average of 5 units;
3. For two variables $x$ and $y$ with a correlation, if their correlation coefficient is $r$, then the closer $|r|$ is to 0, the stronger the linear correlation between $x$ and $y$;
4. In a $2\times2$ contingency table, if the value of $K^2$ is calculated, the larger the value of $K^2$, the more confident we can be in asserting a relationship between the two variables.

The correct statement(s) is/are __________.

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