
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 following is a set of data for two variables:

| $x$ | $1$ | $2$ | $3$ | $4$ | $5$ | $6$ | $7$ | $8$ |
|-----|-----|-----|-----|-----|-----|-----|-----|-----|
| $y$ | $1$ |     | $9$ | $16$ | $25$ | $36$ | $49$ | $64$ |

The linear regression equation between these two variables is $\hat{y}=-15+9\hat{x}$. The missing data in variable $y$ is ____.

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