April 1957 | NTIA Technical Report NBS Report 5068

Fitting an Arbitrary Functional Relationship by Least Squares with all of the Variables Subject to Error

Kenneth A. Norton

Abstract: A solution is presented in this paper, with all of the variable subject to error, for the general leased squares porblem of determining consistent estimates of the parameters of a functional relationship which is expected to fit exactly the average of an infinite number of observations.A general method for weighting the data is presented, and examples are given to illustrate the effects of varying the statistical characteristics of the observed data.

Keywords: least-squares fitting

To request a reprint of this report, contact:

Lilli Segre, Publications Officer
Institute for Telecommunication Sciences
(303) 497-3572

Disclaimer: Certain commercial equipment, components, and software may be identified in this report to specify adequately the technical aspects of the reported results. In no case does such identification imply recommendation or endorsement by the National Telecommunications and Information Administration, nor does it imply that the equipment or software identified is necessarily the best available for the particular application or uses.

Back to Search Results