Regression and curve fitting using procedures such as Least-Square and Weighted Least-Square curve fitting.
Aim
The aim of this experiment is to perform regression and curve fitting on a given dataset using numerical approximation methods and analyze the accuracy of the fitted model.
Specifically, the objectives include:
- To apply the Least-Square Method for estimating the best-fit curve that minimizes the sum of squared errors between observed and predicted values.
- To implement the Weighted Least-Square Method to handle data with varying levels of importance or measurement accuracy.
- To generate predictive mathematical models that represent the underlying trend of the dataset.
- To visualize the fitted curve against the actual data points for interpretation and validation.
- To understand the importance of curve fitting techniques in engineering, science, and data-driven decision making.