
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
The statistical data of variables $x$ and $y$ are shown in the table below:

| $x$ | $-2$ | $-1$ | $0$ | $1$ | $2$ |
|-----|------|------|-----|-----|-----|
| $y$ | $5$  |  ?   | $2$ | $2$ | $1$ |

Given that the linear regression equation obtained from the data in the table is $\hat{y}=-x+2.6$, find the residual when $x=-1$. (Note: Residual = Observed value - Predicted value)

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