Table 5 Central composite design matrix of independent variables and their corresponding predicted and actual values of total carotenoid production under shaken flask cultivation at 37 °C, 200 rpm. A: pH; B: yeast extract; C: NaCl; D: inoculum volume; E: incubation time
Run | Independent variables | Total carotenoid (mg L− 1) | Run | Independent variables | Total carotenoid (mg L− 1) | |||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
A | B | C | D | E | Predicted | Actual | Â | A | B | C | D | E | Predicted | Actual | Â | |||||
1 | -1 | -1 | -1 | -1 | -1 | 0.139 | 0.086 | 25 | -1 | -1 | + 1 | -1 | + 1 | 0.094 | 0.034 |  | ||||
2 | + 1 | -1 | -1 | -1 | -1 | 0.410 | 0.406 | 26 | + 1 | -1 | + 1 | -1 | + 1 | 0.711 | 0.801 |  | ||||
3 | -1 | + 1 | -1 | -1 | -1 | 0 | 0 | 27 | -1 | + 1 | + 1 | -1 | + 1 | 0.083 | 0 |  | ||||
4 | + 1 | + 1 | -1 | -1 | -1 | 0.308 | 0.301 | 28 | + 1 | + 1 | + 1 | -1 | + 1 | 0.808 | 0.872 |  | ||||
5 | -1 | -1 | -1 | + 1 | -1 | 0.139 | 0.071 | 29 | -1 | -1 | + 1 | + 1 | + 1 | 0.038 | 0.064 |  | ||||
6 | + 1 | -1 | -1 | + 1 | -1 | 0.511 | 0.485 | 30 | + 1 | -1 | + 1 | + 1 | + 1 | 0.752 | 0.643 |  | ||||
7 | -1 | + 1 | -1 | + 1 | -1 | 0.026 | 0.004 | 31 | -1 | + 1 | + 1 | + 1 | + 1 | 0.120 | 0.135 |  | ||||
8 | + 1 | + 1 | -1 | + 1 | -1 | 0.508 | 0.410 | 32 | + 1 | + 1 | + 1 | + 1 | + 1 | 0.947 | 1.011 |  | ||||
9 | -1 | -1 | + 1 | -1 | -1 | 0.117 | 0.184 | 33 | -1 | 0 | 0 | 0 | 0 | 0.586 | 0.462 |  | ||||
10 | + 1 | -1 | + 1 | -1 | -1 | 0.421 | 0.474 | 34 | + 1 | 0 | 0 | 0 | 0 | 1.135 | 1.244 |  | ||||
11 | -1 | + 1 | + 1 | -1 | -1 | 0 | 0.045 | 35 | 0 | -1 | 0 | 0 | 0 | 0.568 | 0.620 |  | ||||
12 | + 1 | + 1 | + 1 | -1 | -1 | 0.414 | 0.477 | 36 | 0 | + 1 | 0 | 0 | 0 | 0.560 | 0.492 |  | ||||
13 | -1 | -1 | + 1 | + 1 | -1 | 0.053 | 0.071 | 37 | 0 | 0 | 0 | -1 | 0 | 0.782 | 0.680 |  | ||||
14 | + 1 | -1 | + 1 | + 1 | -1 | 0.459 | 0.447 | 38 | 0 | 0 | 0 | + 1 | 0 | 0.853 | 0.756 |  | ||||
15 | -1 | + 1 | + 1 | + 1 | -1 | 0.034 | 0.038 | 39 | 0 | 0 | -1 | 0 | 0 | 0.692 | 0.737 |  | ||||
16 | + 1 | + 1 | + 1 | + 1 | -1 | 0.560 | 0.526 | 40 | 0 | 0 | + 1 | 0 | 0 | 0.729 | 0.883 |  | ||||
17 | -1 | -1 | -1 | -1 | + 1 | 0.056 | 0.071 | 41 | 0 | 0 | 0 | 0 | -1 | 0.733 | 0.714 |  | ||||
18 | + 1 | -1 | -1 | -1 | + 1 | 0.639 | 0.624 | 42 | 0 | 0 | 0 | 0 | + 1 | 0.891 | 0.895 |  | ||||
19 | -1 | + 1 | -1 | -1 | + 1 | 0 | 0 | 43 | 0 | 0 | 0 | 0 | 0 | 0.857 | 0.865 |  | ||||
20 | + 1 | + 1 | -1 | -1 | + 1 | 0.643 | 0.609 | 44 | 0 | 0 | 0 | 0 | 0 | 0.857 | 0.846 |  | ||||
21 | -1 | -1 | -1 | + 1 | + 1 | 0.064 | 0.150 | 45 | 0 | 0 | 0 | 0 | 0 | 0.857 | 0.835 |  | ||||
22 | + 1 | -1 | -1 | + 1 | + 1 | 0.748 | 0.688 | 46 | 0 | 0 | 0 | 0 | 0 | 0.857 | 0.917 |  | ||||
23 | -1 | + 1 | -1 | + 1 | + 1 | 0.068 | 0.071 | 47 | 0 | 0 | 0 | 0 | 0 | 0.857 | 0.891 |  | ||||
24 | + 1 | + 1 | -1 | + 1 | + 1 | 0.850 | 0.793 | 48 | 0 | 0 | 0 | 0 | 0 | 0.857 | 0.857 |  | ||||