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LEAST-SQUARES FITTING OF A STRAIGHT LINE
Abstract
A detailed discussion of the calculation of the "best straight line" by the method of least squares is given. The most general solution is found and the conditions under which certain previously derived special solutions are valid are clearly stated. The "best" slope is shown to be given by the solution of the "Least-Squares Cubic". An example is given to illustrate the method. It is shown that the best slope is not necessarily bounded by values found from the regressions of x on y and y on x.
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Citations
Cited by
Romanek, C. S., Grossman, E. L., & Morse, J. W. (1992) · Geochimica et Cosmochimica Acta · doi:10.1016/0016-7037(92)90142-6 · Cited by 1,215
Coe, R. S., Grommé, S., & Mankinen, E. A. (1978) · Journal of Geophysical Research: Solid Earth · doi:10.1029/jb083ib04p01740 · Cited by 774
Oxygen and carbon isotope fractionations between CO2 and calcite
Chacko, T., Mayeda, T. K., Clayton, R. N., & Goldsmith, J. R. (1991) · Geochimica et Cosmochimica Acta · doi:10.1016/0016-7037(91)90452-b · Cited by 387
The New “York” Regression: Application of an Improved Statistical Method to Geochemistry
Mahon, K. I. (1996) · International Geology Review · doi:10.1080/00206819709465336 · Cited by 262
Santosh, M., Yokoyama, K., Biju-Sekhar, S., & Rogers, J. J. W. (2003) · Gondwana Research · doi:10.1016/s1342-937x(05)70643-2 · Cited by 261
Metadata
- Authors
- York, D.
- Venue
- Canadian Journal of Physics
- Publisher
- Canadian Science Publishing
- Published
- 1966-05-01
- Volume
- 44
- Issue
- 5
- Pages
- 1079-1086
- ISSN
- 0008-4204 (ISSN-L)
- 1208-6045
- OpenAlex
- W1971513400
- Cited by
- 1,487
- References
- 0
- FWCI
- 17.53
- Type
- journal article
- Language
- en
- Open access
- closed
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- York, D. (1966). LEAST-SQUARES FITTING OF A STRAIGHT LINE. Canadian Journal of Physics. https://doi.org/10.1139/p66-090
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Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
