
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 sample data \((x_1, y_1)\), \((x_2, y_2)\), \(\ldots\), \((x_n, y_n) (n \geqslant 2, x_1, x_2, \ldots, x_n\) are not all equal), where all sample points \((x_i, y_i) (i=1, 2, \ldots, n)\) lie on the line \(y=3x+1\), calculate the correlation coefficient of this set of sample data.

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