
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
A student collected the production data (in units of 10,000 boxes) of a certain pharmaceutical factory in the first $5$ months of this year during research-based learning. If $x$ and $y$ are linearly related, and the linear regression equation is $\hat{y}=0.7x+\hat{a}$, then when $x=6$, the predicted value of $y$ is ______ 10,000 boxes.

|$x$(Month)|$1$|$2$|$3$|$4$|$5$|
|---|---|---|---|---|---|
|$y$(10,000 boxes)|$5$|$6$|$5$|$6$|$8$|

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