
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 regression equation for predicting weight (in kilograms) from age (in years) for 10 children using the least squares method is $\overset{\hat }{y}=2x+7$, and knowing the ages of these 10 children are 2, 3, 3, 5, 2, 6, 7, 3, 4, 5, calculate the average weight of these 10 children.

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