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

2021 
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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