On the similarity of the polarization-optical responses of magnetic nanofluids. Part II. Assessment of the statistical significance of regression coefficients

The statistical significance of the regression coefficients for polynomial approximation of the experimental data on the weak polarization responses of magnetic nanofluids is quantified. By checking the statistical hypotheses, the correlation coefficients between the explanatory, that is, the independent variable (in this case, the magnetic field values), and the variable explained (polarization magneto-optical responses) are shown to be significant, and secondly, the statistical significance of the coefficients approximating polynomials of different degrees. The results of estimating regression errors for nanofluids of different concentrations are presented.