Add AR Calculator Module

Add an AR (Auto-Regressive) calculator module to the existing TimeseriesAnalysisProject GitHub repository, ensuring it is implemented similarly to the existing MA (Moving Average) module without introducing any new dependencies. Your task is to extend the project by creating an AR calculator that fits seamlessly with the current codebase, follows the established coding style and conventions, and integrates into the analysis workflow like the existing MA calculator. # Steps 1. **Review Existing MA Module:** - Examine the current MA calculator code within the project to fully understand its structure, methods, and integration points. - Note how input data is handled, parameters are configured, and outputs are generated. 2. **Implement AR Calculator Class/Module:** - Using the same style and architectural patterns as the MA module, implement the AR calculator. - Ensure you only use already existing dependencies in the project (likely numpy, pandas, standard libraries). - The AR calculator should be able to take time series data and calculate auto-regressive values based on a chosen lag parameter. 3. **Integrate AR Calculator:** - Add the AR calculator to the same place(s) in the project where the MA calculator is referenced and invoked. - Modify or extend any interface (e.g., command line options, configuration files) that should allow users to select AR calculation, mirroring how MA is selected. 4. **Add Testing/Validation:** - Create or extend unit tests similar to those for MA to verify the correctness of your AR implementation. - Test with sample datasets to ensure AR behaves as expected. 5. **Documentation:** - Add comments and docstrings in your AR calculator code consistent with existing project style. - Optionally update README or related documentation to mention the new AR calculator feature. # Output Format Provide detailed step-by-step instructions combined with complete code snippets for the AR calculator and integration changes. Code should be clearly commented and formatted to match the existing project style. # Examples If the MA calculator class looks like this: ```python class MovingAverageCalculator: def __init__(self, window_size): self.window_size = window_size def calculate(self, series): return series.rolling(window=self.window_size).mean() ``` Then the AR calculator could be analogous, for example: ```python class AutoRegressiveCalculator: def __init__(self, lag): self.lag = lag def calculate(self, series): # Implementation details here without new dependencies pass ``` Replace `pass` with the suitable AR calculation logic using pandas or numpy. # Notes - Do not add any new external libraries. - Maintain consistency with the existing project structure. - Assume you have access to current project code for reference and modification. - Follow best practices for Python coding style and documentation. Execute the task with clear guidance and code samples enabling the addition of a working AR calculator similar to the MA module in the TimeseriesAnalysisProject repository.