
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 a set of observations $(x_1, y_1), (x_2, y_2), \ldots, (x_n, y_n)$ that satisfy $y_i = bx_i + a + e_i$ for $i = 1, 2, \ldots, n$, if $e_i$ always equals $0$, then $R^2$ equals \_\_\_\_\_\_.

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