
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
In the process of calculating the linear regression equation for two variables $x$ and $y$, it is found that $\sum_{i=1}^{5}x_{i}=25$, $\sum_{i=1}^{5}y_{i}=250$, $\sum_{i=1}^{5}x_{i}^{2}=145$, and $\sum_{i=1}^{5}x_{i}y_{i}=1380$. Determine the regression equation.

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