
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 number of hours per week \( x \) (unit: hours) used by students in class 6 of a high school for studying mathematics is associated with their mathematics scores \( y \) (unit: points). The following data is given: (15, 79), (23, 97), (16, 64), (24, 92), (12, 58). The regression line equation obtained is \(\hat{y} = 2.5x + \hat{a}\). Estimate the math score for a student who studies 20 hours per week.

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