Analytical models are mathematical representations used to understand and predict complex systems or behaviors. They simplify real-world scenarios by using equations and algorithms to analyze data, helping researchers and decision-makers draw conclusions based on quantitative evidence. These models can be applied in various fields, including economics, engineering, and healthcare. By breaking down a problem into manageable parts, analytical models allow for systematic exploration of different variables and their relationships. This approach aids in identifying trends, optimizing processes, and making informed decisions. Common types of analytical models include regression analysis, simulation models, and statistical models.