Least Squares Curve Fitting Using PolyFit Function
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In the code implementation, we utilize the PolyFit function to perform least squares curve fitting. This function operates by fitting a set of data points to a polynomial curve, enabling better understanding and analysis of data trends. The implementation employs the least squares method to compute polynomial coefficients - a widely-used fitting technique that minimizes the sum of squared residuals between observed data and fitted values. The PolyFit function typically accepts input parameters including data point arrays (x-coordinates and y-coordinates) and the desired polynomial degree. Internally, it constructs a Vandermonde matrix from the x-values and solves the normal equations using matrix operations to determine optimal coefficients. This curve fitting approach provides a mathematical foundation for trend analysis and serves as a crucial preprocessing step for advanced data analytics workflows.
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