
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 regression line equation \(\hat{y} = \hat{b}x + \hat{a}\), where \(\hat{b} = 9.4\), and when the advertising cost is \(x = 6\) (in ten thousand yuan) and the sales volume is \(y = 65.5\) (in ten thousand yuan), determine the values of \(\hat{a}\) and \(m\).

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