
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 the selling price $x (\text{yuan})$ and the daily sales volume $y (\text{pieces})$ of a certain product in 5 shopping malls, with the average selling price equal to $\overline{x}=10$, the average sales volume equal to $\overline{y}=8$, and the empirical regression equation between $x$ and $y$ equal to $\hat{y}=-3.2x+\hat{a}$, find the residual corresponding to the point $(9.5,10)$.

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