
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 data points $(1,2)$, $(2,5)$, $(4,7)$, and $(5,10)$, determine the equation of the regression line between $y$ and $x$ using the formulas $\hat{b}= \dfrac{\sum\limits_{i=1}^{n}(x_i- \overline{x})(y_i- \overline{y})}{\sum\limits_{i=1}^{n}(x_i- \overline{x})^2}$ and $\hat{a}= \overline{y}- \hat{b}\overline{x}$.

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