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. 2019 Feb 14;24(4):686. doi: 10.3390/molecules24040686

Table 3.

Estimated coefficients and R2 determined for the models obtained for individual and grouped anthocyanin compounds and extraction yield (Table 3), and optimal HAE conditions and response values.

Response variables Fitting Coefficients Obtained after Applying the Second-Order Polynomial Equation with Interactive Terms Optimal Processing Conditions and Response Values
Intercept Linear Effect Quadratic Effect Interactive Effect R 2 t (min) T (°C) S (%) Optimum
b 0 b1 (t) b2 (T) b3 (S) b11 (t2) b22 (T2) b33 (S2) b12 (tT) b13 (tS) b23 (TS)
P1 5.06 ± 0.15 −0.28 ± 0.09 ns 0.92 ± 0.09 −0.16 ± 0.11 ns −0.17 ± 0.11 −0.17 ± 0.06 0.07 ± 0.06 −0.15 ± 0.06 0.9441 81.06 ± 2.08 20.00 ± 1.73 100.00 ± 1.58 6.56 ± 0.31
P2 3.37 ± 0.10 −0.15 ± 0.06 ns 0.76 ± 0.06 −0.20 ± 0.07 ns 0.11 ± 0.07 −0.04 ± 0.00 ns −0.07 ± 0.04 0.9556 64.04 ± 5.07 20.00 ± 0.43 100.00 ± 9.11 5.15 ± 0.36
P3 31.23 ± 1.68 ns 0.96 ± 0.95 ns −2.14 ± 1.15 ns −5.40 ± 1.15 ns 0.98 ± 0.68 ns 0.9359 70.00 ± 3.94 90.00 ± 6.07 50.00 ± 3.80 32.85 ± 2.47
P4 4.65 ± 0.19 ns −0.20 ± 0.11 1.06 ± 0.11 −0.11 ± 0.01 ns −0.41 ± 0.13 ns ns ns 0.9225 70.00 ± 5.49 20.00 ± 1.94 88.44 ± 5.39 5.67 ± 1.05
P5 15.59 ± 0.62 ns 0.33 ± 0.22 2.42 ± 0.35 −0.95 ± 0.42 ns −2.85 ± 0.42 ns ns ns 0.9449 70.00 ± 1.26 90.00 ± 5.25 62.60 ± 5.86 16.66 ± 1.76
P6 5.90 ± 0.27 −0.16 ± 0.15 −0.10 ± 0.01 0.74 ± 0.15 −0.31 ± 0.18 ns −0.89 ± 0.18 ns ns ns 0.9336 62.47 ± 1.24 20.00 ± 0.31 62.27 ± 3.93 6.24 ± 0.56
P7 3.63 ± 0.08 −0.16 ± 0.05 −0.09 ± 0.05 0.70 ± 0.05 −0.08 ± 0.06 ns −0.23 ± 0.06 ns ns −0.07 ± 0.03 0.9701 40.93 ± 1.60 20.00 ± 1.49 100.00 ± 6.12 4.59 ± 0.34
P8 5.59 ± 0.18 −0.13 ± 0.10 −0.14 ± 0.10 0.77 ± 0.10 −0.23 ± 0.12 ns −0.80 ± 0.12 ns ns ns 0.9456 61.55 ± 4.64 20.00 ± 1.03 64.30 ± 1.89 6.03 ± 0.55
P9 9.06 ± 0.43 ns −0.12 ± 0.02 1.15 ± 0.24 −0.62 ± 0.30 ns −1.52 ± 0.30 ns ns ns 0.9286 70.00 ± 1.16 20.00 ± 1.24 61.18 ± 2.85 9.47 ± 1.32
P10 29.87 ± 1.32 ns 0.85 ± 0.74 2.89 ± 0.74 −2.07 ± 0.91 ns −6.27 ± 0.91 ns ns ns 0.9377 70.00 ± 1.42 90.00 ± 2.46 56.85 ± 0.94 31.63 ± 2.42
P11 8.93 ± 0.25 −0.32 ± 0.14 −0.12 ± 0.14 0.63 ± 0.14 −0.47 ± 0.17 ns −1.64 ± 0.17 ns ns −0.10 ± 0.01 0.9359 59.99 ± 5.19 20.00 ± 0.59 57.18 ± 0.16 9.28 ± 0.38
P12 3.91 ± 0.06 −0.22 ± 0.03 −0.03 ± 0.03 0.65 ± 0.03 −0.06 ± 0.04 ns −0.25 ± 0.04 −0.05 ± 0.02 ns −0.09 ± 0.02 0.9757 36.49 ± 0.30 20.00 ± 1.21 98.54 ± 9.29 4.71 ± 0.20
P13 7.93 ± 0.20 −0.26 ± 0.11 −0.16 ± 0.11 0.73 ± 0.11 −0.37 ± 0.03 ns −1.37 ± 0.13 ns 0.09 ± 0.08 −0.10 ± 0.01 0.9451 60.74 ± 0.00 20.00 ± 1.30 59.46 ± 0.04 8.38 ± 0.29
TAC 109.78 ± 2.73 −1.93 ± 1.54 1.07 ± 0.32 14.30 ± 1.54 −6.20 ± 1.87 ns −17.00 ± 1.87 ns ns ns 0.9577 65.37 ± 3.62 90.00 ± 1.17 62.50 ± 4.24 114.74 ± 0.58
Yield 36.43 ± 1.46 0.49 ± 0.88 1.19 ± 0.87 −5.56 ± 0.87 ns ns −3.09 ± 0.84 ns ns ns 0.9592 120.00 ± 2.62 90.00 ± 7.72 23.23 ± 0.91 41.77 ± 1.59

ns: non-significant coefficient; R2: Correlation coefficient; P: anthocyanin compound; TAC: total anthocyanin content.