
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 certain mobile phone store has recorded the actual sales volume of phones over the past $5$ months, as shown in the table below:

| Time $x$ | $1$ | $2$ | $3$ | $4$ | $5$ |
|----------|-----|-----|-----|-----|-----|
| Sales Volume $y$ (thousands) | $0.5$ | $0.8$ | $1.0$ | $1.2$ | $1.5$ |

If $y$ is linearly related to $x$, and the linear regression equation is $\hat{y}=0.24x+\hat{a}$, then $\hat{a}=\_\_\_\_\_\_$.

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