Unified equations for the slope, intercept, and standard errors of the best straight line

By D. York, N. M. Evensen, Margarita López Martínez, J. Delgado. 2004

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Designing durable icephobic surfaces (2016, background): “(44) to account for error in both dependent and independent variables.”
Maximum depositional age estimation revisited (2020, methodology): “Geological examples of this approach include isochron regression (Titterington and Halliday, 1979; York et al., 2004), concordia age estimation (Ludwig, 1998) and finite mixture modelling (Galbraith and Green, 1990; Sambridge and Compston, 1994).”
Comparisons of the Orbiting Carbon Observatory-2 (OCO-2) X CO 2 measurements with TCCON (2016, methodology): “The best fit lines were computed using a method that accounts for uncertainties in the dependent and independent variables (York et al., 2004).”
Improved retrievals of carbon dioxide from Orbiting Carbon Observatory-2 with the version 8 ACOS algorithm (2018, methodology): “For each viewing mode, the slope m of the best-fit line passing through the origin was calculated with the method of York et al. (2004): XCO2,tccon = XCO2,OCO2 C0 , (8) www.atmos-meas-tech.net/11/6539/2018/ Atmos.”
Calibration of TCCON column-averaged CO2: the first aircraft campaign over European TCCON sites (2011, methodology): “A linear relationship and a zero intercept was predicted, the best fit was estimated with the York et al. (2004) fitting method, and 14558”