
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 of two variables with a linear correlation relationship, denoted as (x\_1,y\_1), (x\_2,y\_2)...(x\_n,y\_n), and the regression line equation is represented as \hat{y}=a+bx, determine the quantity that the method of least squares aims to minimize.

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