Exploring Population Dynamics in Nashik District: Applying Polynomial Extrapolation
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Abstract
In this study we have investigates the impact of polynomial degree selection on data fitting accuracy in analyzing population trends within Nashik District. Through a series of figures, it becomes evident that lower-degree polynomials, including linear and quadratic models, inadequately match the dataset's complexity. However, with escalating polynomial degrees, a notable improvement in fitting effectiveness emerges. This analysis highlights the critical role of selecting an appropriate polynomial degree in accurately representing underlying trends. While higher-degree polynomials offer improved fitting, the risk of overfitting, especially with smaller datasets, necessitates a delicate balance between complexity and accuracy. Understanding dataset characteristics is pivotal in determining the optimal polynomial degree for effective representation and prediction of population trends in Nashik District.
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