
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
To establish a work-hour quota, it is necessary to determine the time spent processing a part. For this purpose, 5 experiments were conducted, yielding 5 sets of data: (x₁, y₁), (x₂, y₂), (x₃, y₃), (x₄, y₄), (x₅, y₅). According to the collected data, it is known that x₁ + x₂ + x₃ + x₄ + x₅ = 150. Using the least squares method, the regression line equation is obtained as $\hat{y}$ = 0.67x + 54.9. Therefore, y₁ + y₂ + y₃ + y₄ + y₅ = _______ .

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