
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 that the estimated slope of the regression line $\hat{y}=\hat{b}x+\hat{a}$ is $1.23$, the center of the sample points is at point $(4,5)$, and the estimated slope is calculated using the formula $\hat{b}=\frac{\sum(x_i-\overline{x})(y_i-\overline{y})}{\sum(x_i-\overline{x})^2}$. Calculate the estimated value of $y$ when $x=2$.

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