
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 variance of the sample data $(x_{1,}x_{2})$, $(...x_{2017})$ is $4$, and $y_{i}=x_{i}-1(i=1,2,...,2017)$, find the variance of $y_{1}$, $y_{2}$, $...y_{2017}$.

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