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Proceedings Paper

Application of a generalized formula of linear regression for construction of one-parameter models of aerosol extinction
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Paper Abstract

The generalized formula is presented allowing to obtain the regression coefficients of the linear equation Y=K0+K1X for the general case, when the scatter of points in the correlation diagram of the values X and Y has been caused by both their random errors of measurements and uncontrolled physical factors. All knows formulas for the regression coefficients are the partial cases of the obtained formula. The ways are proposed and the formulas for the regression coefficients are the partial cases of the obtained formula. The ways are proposed and the formulas are presented for estimating the rms errors of the measured values involving in the formula for calculating the regression coefficients from the experiments data. It is shown that the generalized formula makes it possible to obtain the stable, reliable and physically correct one-parameter models of the aerosol extinction. The obtained formula is interesting for the specialists in processing experimental data and can be used for their correct physical interpretation independently of the field of knowledge.

Paper Details

Date Published: 15 December 2004
PDF: 9 pages
Proc. SPIE 5743, Eleventh International Symposium on Atmospheric and Ocean Optics/Atmospheric Physics, (15 December 2004); doi: 10.1117/12.606290
Show Author Affiliations
Nikolay N. Shchelkanov, Institute of Atmospheric Optics (Russia)


Published in SPIE Proceedings Vol. 5743:
Eleventh International Symposium on Atmospheric and Ocean Optics/Atmospheric Physics

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