Skip to main content
SpringerLink
Log in

On the least-squares adjustment of a straight line

  • Published:
Bulletin Géodésique (1946-1975)

Abstract

The linear regression of one variable on the other is reviwed, together with its statistical analysis.

The adjustment of both variables is reduced to the previous regression. The mathematical form of the straight line is independent of the relative weight of the two variables. Only the adjusted coordinates vary, along the line, in proportion to that weight.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. E.L. CROW, F.A. DAVIS and M.W. MAXFIELD: “Statistics Manual”. Dover 1960.

  2. J. JOHNSTON: “Econometric Methods”. McGraw-Hill, 1963.

  3. M.F. Madkour: “Precision of adjusted variables by least squares”, Journal of the Surveying and Mapping Division (Proc. Amer. Soc. of Civ. Eng.), Vol. 94, No. SU2, 1968.

  4. D. SHARNI: “On the line-fit of two observed variables”. Paper presented at FIG XIII Congress, Wiesbaden, Germany, September 1971.

Download references

Author information

Authors and Affiliations

  1. Department of Geodesy Technion, Haifa, Israel

    Dan Sharni

Authors
  1. Dan Sharni
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sharni, D. On the least-squares adjustment of a straight line. Bull. Geodesique 103, 25–30 (1972). https://doi.org/10.1007/BF02522113

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02522113

Search

Navigation