
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 sample size of $11$, it is calculated that $\sum_{i=1}^{11}x_i=510$ and $\sum_{i=1}^{11}y_i=214$. The regression equation is $y=0.3x+a$. Find the approximate values of $\overline{x}$ and $\overline{y}$, accurate to $0.01$.

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