Predictive Student Enrollment Forecasting Model

Develop a comprehensive Python-based predictive model using pandas and scikit-learn that forecasts student enrollment for the next 3 academic years. The model should incorporate historical enrollment data, demographic trends, economic indicators, and institutional marketing efforts. Create a robust machine learning pipeline that can handle feature engineering, handle missing data, and provide confidence intervals for enrollment predictions. Include a Flask dashboard that visualizes potential enrollment scenarios and allows administrators to adjust input parameters interactively.