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. 2022 Oct 1;12(19):2641. doi: 10.3390/ani12192641

Table 6.

Analysis of variance of a regression model based on reducing sugars (y1).

Variables Sum of Squares Degrees of Freedom Mean Square 1 Partial Correlation F-Value 2 p-Value
X1 0.7670 1 0.7670 −0.1207 0.1922 0.6683
X2 0.0165 1 0.0165 −0.0178 0.0041 0.9497
X3 5.3781 1 5.3781 −0.3065 1.3478 0.2665
X1 2 46.2768 1 46.2768 −0.6866 11.5971 0.0047
X2 2 1.4423 1 1.4423 −0.1645 0.3614 0.5580
X3 2 34.7362 1 34.7362 −0.6333 8.7050 0.0113
X1X2 13.2870 1 13.2870 0.4516 3.3298 0.0911
X1X3 0.3570 1 0.3570 −0.0827 0.0895 0.7696
X2X3 0.0006 1 0.0006 −0.0034 0.0002 0.9903
Regression 101.4984 9 11.2776 F2 = 2.82620 0.0620
Remainder 51.8748 13 3.9904
Misfit 42.8556 5 8.5711 F1 = 7.60255 0.0015
Error 9.0192 8 1.1274
Sum 153.3731 22

1 MS, mean square values. 2 A preliminary determination of the suitability of the selected regression model was made according to the misfit test of equation (F1 = MSmisfit/MSerror). The significance test of the regression equation was measured by F2, which equated to the ratio of MSregression to MSremainder. The significant difference between the regression model and the coefficient was evaluated by the F test, and p < 0.05 was considered significant.