
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 data for variables $X$ and $Y$, which are $(10,1)$, $(11.3,2)$, $(11.8,3)$, $(12.5,4)$, $(13,5)$, and another set of data for variables $U$ and $V$, which are $(10,5)$, $(11.3,4)$, $(11.8,3)$, $(12.5,2)$, $(13,1)$, find the values of the linear correlation coefficient $r_{1}$ between variable $Y$ and $X$, and $r_{2}$ between variable $V$ and $U$.

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