Exploring the Business-Culture Relationship with Box-Jenkins ARIMA Analysis for Forecasting the Path and Future Prospects of the Popular Music Industry

Time series analysis plays a crucial role in understanding and predicting the path future prospects of industries, including popular music industry. This paper constructed an Box-Jenkins ARIMA (BJ-ARIMA) methodology to analyze time data industry, with focus on relationship between business culture. By employing approach, BJ-ARIMA forecast trends make informed predictions about development Identification, estimation, diagnostic testing using framework are three main components approach. Autocorrelation partial autocorrelation plots analyzed identification phase help choose best model. The estimation involves fitting selected model historical data, techniques such as maximum likelihood estimation. Finally, checking is performed ensure model's adequacy reliability. findings will provide solid foundation for forecasting making decisions dynamic evolving world