
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 two linearly related variables $x$ and $y$ are as follows:<br/>

|x|9|9.5|10|10.5|11|
|---|---|---|---|---|---|
|y|11|10|8|6|5|

If the regression line equation is $\hat{y}=\hat{b}x+40$, then the residual corresponding to the point $(9,11)$ is ______.

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