
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 sample of data $x_1, x_2, \ldots, x_{2017}$ with a variance of 4, if each $y_i$ is defined as $y_i = 2x_i - 1$ for $i=1,2,\ldots,2017$, then compute the variance for the sample $y_1, y_2, \ldots, y_{2017}$.

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