A LEAST-SQUARES STRAIGHT-LINE FITTING ALGORITHM WITH AUTOMATIC ERROR DETERMINATION

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Authors
  1. Thayaparan, T.
  2. Hocking, W.K.
Corporate Authors
Defence Research Establishment Ottawa, Ottawa ONT (CAN)
Abstract
We demonstrate a new generalized least-squares fitting method which can be used to estimate the slope of the best-fitting straight line that results when two separate data sets which are expected to be linearly correlated are subject to different uncertainties in their measurements. The algorithm determines not only the optimum slope, but also produces estiamtes of the intrinsic errors associated with each data set. It requires almost no initial information about the errors in each data set.
Keywords
Least squares fitting;Error analysis;Variance;Slope;Gradient;Measurement errors
Report Number
DREO-TN-98-004 — Technical Note
Date of publication
01 Jun 1998
Number of Pages
28
DSTKIM No
99-00097
CANDIS No
509992
Format(s):
Hardcopy;Document Image stored on Optical Disk

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