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. 2023 Aug 21;11(11):7160–7171. doi: 10.1002/fsn3.3642

TABLE 3.

Predicted regression model of the relationship between response variables and independent variables (X1, X2, and X3) and analysis of variance for the fitted quadratic polynomial model of extraction.

Source SS DF MS F‐value p‐Value
Yield AA TPC Yield AA TPC Yield AA TPC Yield AA TPC Yield AA TPC
Model 167.77 453.57 9341.38 9 9 9 18.64 50.40 1037.93 40.19 47.37 50.38 <.0001 <.0001 <.0001
X1 110.11 315.76 6062.66 1 1 1 110.11 315.76 6062.66 237.38 296.78 294.29 <.0001 <.0001 <.0001
X2 15.32 23.43 1465.84 1 1 1 15.32 23.43 1465.84 33.02 22.02 71.15 .0007 .0022 <.0001
X3 6.90 4.05 1.08 1 1 1 6.90 4.05 1.08 14.88 3.80 0.0524 .0062 .0921 .8254
X1X2 8.50 17.89 604.42 1 1 1 8.50 17.89 604.42 18.32 16.82 29.34 .0037 .0046 .0010
X1X3 1.16 0.0036 190.99 1 1 1 1.16 0.0036 190.99 2.49 0.0034 9.27 .1585 .9552 .0187
X2X3 0.1681 35.34 143.28 1 1 1 0.1681 35.34 143.28 0.3624 33.22 6.96 .5662 .0007 .0336
X1 2 14.98 21.65 165.46 1 1 1 14.98 21.65 165.46 32.29 20.35 8.03 .0007 .0028 .0253
X2 2 6.56 32.31 634.81 1 1 1 6.56 32.31 634.81 14.15 30.37 30.81 .0071 .0009 .0009
X3 2 4.31 0.0205 15.22 1 1 1 4.31 0.0205 15.22 9.29 0.0193 0.7388 .0186 .8936 .4185
Residual 3.25 7.45 14.21 7 7 7 0.4639 1.06 20.60
Lack of fit 0.2102 0.6497 16.14 3 3 3 0.0701 0.2166 5.38 0.0923 0.1274 0.1680 .9604 .9390 .9127
Pure error 3.04 6.80 128.07 4 4 4 0.7592 1.70 32.02
Cor total 171.02 461.02 9485.59 16 16 16

Abbreviations: AA, antioxidant activity; DF, Degree of freedom; MS, Mean square; SS, Sum of squares; TPC, total phenolic content.