
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 given values are shown in the table below:

| $x$ | $0$ | $1$ | $3$ | $4$ |
|-----|-----|-----|-----|-----|
| $y$ | $a$ | $4.3$ | $4.8$ | $6.7$ |

From the scatter plot analysis, $y$ is linearly related to $x$, and $\hat{y}=0.95x+2.6$. Find the value of $a$.

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