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Uncertainty Bands of the Regression Line for Autocorrelated Data of Dependent Variable Y

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Automation 2021: Recent Achievements in Automation, Robotics and Measurement Techniques (AUTOMATION 2021)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1390))

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Abstract

The formalism is proposed for assessing the accuracy of simple regression takes into account both the correlation of the Y variable data and the impact of type B uncertainty in routine measurements.This is the continuation of authors’ work considering the data with type B uncertainty and uncorrelated random errors. The essence, criteria and dependencies of the regression method were examined. Simulated examples of determining uncertainty bands of the regression line fitted to measured points with different cases of correlated values of dependent Y variable are considered. The recommendations of GUM Guide [1] was referred to and the type B not discussed yet in the literature was considered. The proposed formalism is illustrated by examples the precisely know abscissa and ordinates with different correlation, and absolute and relative uncertainties type A and type B.

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Author information

Authors and Affiliations

  1. Łukasiewicz Research Network – Industrial Research Institute for Automation and Measurements PIAP, Al. Jerozolimskie 202, 02-486, Warsaw, Poland

    Zygmunt Lech Warsza

  2. Central Office of Measures, Elektoralna 2, 00-137, Warsaw, Poland

    Jacek Puchalski

Authors
  1. Zygmunt Lech Warsza
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  2. Jacek Puchalski
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Corresponding author

Correspondence to Jacek Puchalski .

Editor information

Editors and Affiliations

  1. ŁUKASIEWICZ Research Network, Industrial Research Institute for Automation and Measurements PIAP, Warsaw, Poland

    Roman Szewczyk

  2. ŁUKASIEWICZ Research Network, Industrial Research Institute for Automation and Measurements PIAP, Warsaw, Poland

    Cezary Zieliński

  3. ŁUKASIEWICZ Research Network, Industrial Research Institute for Automation and Measurements PIAP, Warsaw, Poland

    Małgorzata Kaliczyńska

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Warsza, Z.L., Puchalski, J. (2021). Uncertainty Bands of the Regression Line for Autocorrelated Data of Dependent Variable Y. In: Szewczyk, R., Zieliński, C., Kaliczyńska, M. (eds) Automation 2021: Recent Achievements in Automation, Robotics and Measurement Techniques. AUTOMATION 2021. Advances in Intelligent Systems and Computing, vol 1390. Springer, Cham. https://doi.org/10.1007/978-3-030-74893-7_33

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