
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 linear regression equation $\hat{y}=\hat{b}x+\hat{a}$, where $\hat{b}=4$ and $\sum\limits^{10}_{i=1}x_{i}=225$ and $\sum\limits^{10}_{i=1}y_{i}=1600$, estimate the height $\hat{y}$ of a student with a foot length of $24$ cm.

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