Least Squares Fitting--Logarithmic

DOWNLOAD Mathematica NotebookDownload Wolfram Notebook

LeastSquaresLog

Given a function of the form

y=a+blnx,

(1)

the coefficients can be found from least squares fitting as

b = [画像:(nsum_(i=1)^(n)(y_ilnx_i)-sum_(i=1)^(n)y_isum_(i=1)^(n)lnx_i)/(nsum_(i=1)^(n)(lnx_i)^2-(sum_(i=1)^(n)lnx_i)^2)]

(2)

a = [画像:(sum_(i=1)^(n)y_i-bsum_(i=1)^(n)(lnx_i))/n.]

(3)

See also

Least Squares Fitting, Least Squares Fitting--Exponential, Least Squares Fitting--Power Law

Explore with Wolfram|Alpha

WolframAlpha

More things to try:

Cite this as:

Weisstein, Eric W. "Least Squares Fitting--Logarithmic." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/LeastSquaresFittingLogarithmic.html

Subject classifications