
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 composed of data points $(x_{i}$,$y_{i})\left(i=1,2,3,\ldots ,10\right)$, the regression line equation is $\hat{y}=2x-0.4$, and $\overline{x}=2$. After removing two sample points $(-3,1)$ and $(3,-1)$, the slope of the new regression line equation is $3$. Determine the residual of the sample point $(4,8)$.

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