
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), …, (x_n,y_n) ($n\geqslant 2$, x_1, x_2, …, x_n are not all equal) presented in a scatterplot, if all sample points (x_i,y_i) ($i=1,2,…,n$) lie on the line y=2x+1, calculate the sample correlation coefficient for this dataset.

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