
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 corresponding values of $x$ and $y$ as shown in the table below, if $y$ is linearly related to $x$ and the regression line equation is $y=1.3x+0.8$, then $m=\_\_\_\_\_\_$.

| $x$ | $1$ | $3$ | $4$ | $5$ | $7$ |
|-----|-----|-----|-----|-----|-----|
| $y$ | $1$ | $m$ | $2m+1$ | $2m+3$ | $10$ |

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