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Plots of Surface Temperature and Mass of a Heated, Large Limestone Sample in Terms of Regression Splines and the Programming Language R

R. Lech, S. Sado

Journal of Ceramic Science and Technology, Vol. 13, No. 2 (2022), pp. 65-82

DOI: 10.4416/JCST2021-00015

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Abstract

The use of the surface temperature and the mass of a limestone sample or sample conversion degree as variables present in various models of limestone calcination is shown in the paper. The linear model of the thermal dissociation rate of a large limestone sample is derived using the R program and the base of B - splines. The statistical significance of the formulated model is demonstrated. The example of the model recording of the thermal dissociation rate of a large limestone sample as a function of heating conditions, including the sample heating time, is shown. The values of the basis functions contained in the regression matrix have been identified. Moreover, the formulas for non-zero cubic basis functions in the selected span knot of the explanatory variable are derived.

Keywords

Limestone, thermal dissociation, thermal analysis, statistical modelling, regression splines

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