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. 2024 Jan 17;14:1531. doi: 10.1038/s41598-024-51179-4

Table 5.

Experimental layout of the Box–Behnken design with coded independent variables, obtained response outcomes, and predicted response values.

Unit Low (− 1) Middle (0) High (+ 1)
X1: glycerol g/L 10 55 100
X2: leucine g/L 0.1 2.55 5.0
X3: phosphate g/L 0.5 2.75 5.0
X4: urea g/L 1 5.5 10
Run Independent variables Viscosinamide [g/L]
X1 X2 X3 X4 Actual response Predicted response
1  − 1  − 1 0 0 0.847  − 0.181
2 1  − 1 0 0 0.613 1.979
3  − 1 1 0 0 2.330 1.003
4 1 1 0 0 0 1.066
5 0 0  − 1  − 1 1.539 1.858
6 0 0 1  − 1 0.271  − 0.702
7 0 0  − 1 1 0.729 1.742
8 0 0 1 1 6.483 6.203
9 0 0 0 0 4.709 6.425
10  − 1 0 0  − 1 0 1.493
11 1 0 0  − 1 0  − 1.455
12  − 1 0 0 1 0.765 0.827
13 1 0 0 1 8.886 5.999
14 0  − 1  − 1 0 3.204 2.826
15 0 1  − 1 0 0  − 0.725
16 0  − 1 1 0 0.759 0.091
17 0 1 1 0 4.925 3.911
18 0 0 0 0 5.318 6.425
19  − 1 0  − 1 0 0.076  − 0.316
20 1 0  − 1 0 1.676 1.839
21  − 1 0 1 0 0.486 1.678
22 1 0 1 0 0 1.746
23 0  − 1 0  − 1 0  − 0.015
24 0 1 0  − 1 0 0.631
25 0  − 1 0 1 3.167 3.891
26 0 1 0 1 2.144 3.514
27 0 0 0 0 9.247 6.425