Linear Least Squares (mathematics) - Typical Uses and Applications

Typical Uses and Applications

  • Polynomial fitting: models are polynomials in an independent variable, x:
    • Straight line: .
    • Quadratic: .
    • Cubic, quartic and higher polynomials. For regression with high-order polynomials, the use of orthogonal polynomials is recommended.
  • Numerical smoothing and differentiation — this is an application of polynomial fitting.
  • Multinomials in more than one independent variable, including surface fitting
  • Curve fitting with B-splines
  • Chemometrics, Calibration curve, Standard addition, Gran plot, analysis of mixtures

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