Description: Variable coefficients are a modeling approach where the coefficients of a function or model can change based on the input data. Unlike traditional regression models, where coefficients are constant and estimated from a dataset, in models with variable coefficients, these adapt dynamically to the specific characteristics of the data being analyzed. This approach allows for greater flexibility and accuracy in modeling complex relationships between variables, as it can capture interactions and nonlinear effects that would not be evident in a static model. Variable coefficients are particularly useful in contexts where the relationships between variables may change over time or under different conditions, making them ideal for applications in various fields such as economics, biology, and engineering. In summary, variable coefficients represent an evolution in how statistical models are constructed and used, allowing for better adaptation to the reality of the data.