How to implement a rolling window calculation on time series data in Pandas?

Instruction: Explain the process of setting up and applying a rolling window function to a time series dataset.

Context: This question assesses the candidate's ability to manipulate time series data using Pandas, specifically focusing on the implementation of rolling window calculations for data analysis.

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Firstly, to set the stage, rolling window calculations require a defined window size, which essentially is the number of observations used for calculating a statistic at a given time. For instance, if you are looking to smooth out daily stock price movements, you might choose a window size of 30 days to calculate a moving average.

Clarification and Assumption: I'll assume we're working with a DataFrame named df that contains a DateTime index and a column price from which we aim to calculate a 30-day rolling average. The DateTime index is crucial for time series analysis as it allows Pandas to efficiently handle and manipulate the data....

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