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. 2020 Mar 4;10:4029. doi: 10.1038/s41598-020-60951-1

Table 3.

Central composite design matrix, representing the response of NAP and NAR activities as influenced by significant factors along with the predicted activity, residuals and concentrations of variables levels.

Run Order NAP- CCD matrix Actual NAP Activity (U/mL) Predicted NAP Activity (U/mL) St. Residual Actual NAR Activity (U/mL) Predicted NAR Activity (U/mL) St. Residual
(X1) pH (X2) FeCl2.4H2O (X3) Inoculum Size % (X4) Na2MoO4. 2H2O (X5) Sodium citrate
NAR- CCD matrix
(X1) pH (X2) FeCl2.4H2O (X3) Na2MoO4. 2H2O (X4) Sodium citrate (X5) NaNO3
1 0 2 0 0 0 1059.29 1063.131 −0.18 1421.0 1396.8 0.65
2 −1 1 −1 −1 −1 519.29 537.477 −1.52 819.3 855.8 −1.78
3 −1 −1 −1 −1 1 428.57 445.102 −1.39 830.7 830.2 0.02
4 1 1 1 −1 −1 1022.14 1022.416 −0.02 748.3 728.5 0.96
5 1 1 −1 1 −1 1282.14 1263.797 1.54 386.6 400.4 −0.67
6 −1 1 −1 1 1 717.29 714.763 0.21 1666.0 1690.1 −1.17
7 0 −2 0 0 0 525 522.478 0.12 1338.0 1393.5 −1.49
8 0 0 0 2 0 894.29 929.885 −1.64 276.0 282.4 −0.17
9 1 −1 −1 1 1 532.86 512.862 1.68 469.0 445.8 1.13
10 0 0 0 0 0 602.86 560.743 1.34 406.7 371.1 0.66
11 −1 −1 1 1 1 879.29 879.506 −0.02 1835.2 1810.4 1.21
12 0 0 −2 0 0 463.57 466.533 −0.14 558.2 515.9 1.13
13 0 0 0 0 0 533.57 560.743 −0.86 306.7 371.1 −1.19
14 0 0 0 −2 0 756.43 722.155 1.58 133.2 158.1 −0.67
15 −1 −1 1 −1 −1 889.86 910.789 −1.75 1698.8 1686.4 0.6
16 1 1 −1 −1 1 1100.29 1096.168 0.35 998.5 990.6 0.38
17 0 0 2 0 0 996.57 994.926 0.08 487.1 560.8 −1.97
18 −2 0 0 0 0 724.29 686.825 1.73 1595.0 1556.0 1.05
19 1 −1 1 1 −1 917.23 901.629 1.31 515.2 480.1 1.71
20 −1 1 1 1 −1 1117.29 1119.161 −0.16 594.0 606.1 −0.59
21 2 0 0 0 0 1035.43 1074.215 −1.79 393.4 463.7 −1.88
22 0 0 0 0 2 739.29 746.441 −0.33 309.3 359.1 −1.34
23 −1 −1 −1 1 −1 602.86 605.17 −0.19 387.0 408.3 −1.04
24 0 0 0 0 0 558.23 560.743 −0.08 400.0 371.1 0.53
25 1 −1 1 −1 1 897.14 895.761 0.12 100.1 43.3 2.77
26 0 0 0 0 0 561.6 560.743 0.03 389.9 371.1 0.35
27 0 0 0 0 −2 816.43 810.598 0.27 105.0 86.4 0.5
28 1 −1 −1 −1 −1 662.86 663.575 −0.06 330.0 319.3 0.52
29 0 0 0 0 0 522.14 560.743 −1.23 361.9 371.1 −0.17
30 1 1 1 1 1 1334.71 1314.273 1.71 470.0 437.7 1.57
31 −1 1 1 −1 1 892.86 908.953 −1.35 337.2 327.6 0.47
32 0 0 0 0 0 587.38 560.743 0.85 393.0 371.1 0.4
Variable Coded levels/Experimental Values
2 1 0 1 2
pH 5.8 6.3 6.8 7.3 7.8
Inoculum Size (0.5 McFarland) (%) 2.5 4 5 7.5 10
NaNO3 (g/L) 4 5.5 7 8.5 10
FeCl2.4H2O (mg/L) 300 350 400 450 500
Na2MoO4.2H2O (mg/L) 30 70 100 150 200
Sodium citrate (g/L) 4 5.5 7 8.5 10