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Working with Color Readings: Application of Regression Models for Determining the Concentration of Substance

DOI: 10.4236/oalib.1104377, PP. 1-10

Subject Areas: Mathematical Statistics, Mathematical Analysis

Keywords: Stepwise Regression, Statistical Test, Colorimetry, Concentration of Substances

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Abstract

This study first considered using 5 dimensions/variables of color readings (including blue, green, saturation, red, hue) to predict the concentration of matter. The procedure was demonstrated using internet acquired data in the public domain. A stepwise regression method based on software MATLAB was used to build a model to predict the concentration of the sulfur dioxide. In the course of the study, we also discussed other linear or non-linear models to predict the concentration of the sulfur dioxide, but these models didn’t perform as the former, which may be due to the strong collinearity between the original data variables. Statistical test results of the model including the number of observations, root mean squared error, adjusted R-square, F-statistic vs constant model were shown to assess the reliability. We also carried out error analysis and discussion.

Cite this paper

Pan, X. and Cui, Y. (2018). Working with Color Readings: Application of Regression Models for Determining the Concentration of Substance. Open Access Library Journal, 5, e4377. doi: http://dx.doi.org/10.4236/oalib.1104377.

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