• DocumentCode
    1526168
  • Title

    Fitting nature´s basic functions. I. Polynomials and linear least squares

  • Author

    Rust, Bert W.

  • Author_Institution
    Nat. Inst. of Stand. & Technol., Gaithersburg, MD, USA
  • Volume
    3
  • Issue
    5
  • fYear
    2001
  • Firstpage
    84
  • Lastpage
    89
  • Abstract
    The problem of fitting a mathematical model which depends on an n-vector of unknown parameters, to a measured data set is ubiquitous in science and engineering. This paper is the first installment of a series that will demonstrate modern techniques for fitting combinations of basic mathematical functions to measured real-world data. Fitting a straight line, linear least squares and the best linear unbiased estimate are discussed.
  • Keywords
    least squares approximations; polynomials; data set; linear least squares; linear unbiased estimate; mathematical functions; mathematical model fitting; n-vector; polynomials; straight line fitting; Data engineering; Equations; Gaussian processes; Least squares approximation; Least squares methods; Measurement errors; Polynomials; Predictive models; Prototypes; Temperature;
  • fLanguage
    English
  • Journal_Title
    Computing in Science & Engineering
  • Publisher
    ieee
  • ISSN
    1521-9615
  • Type

    jour

  • DOI
    10.1109/MCISE.2001.947111
  • Filename
    947111