Table 2. Central composite design matrix and the responses of biomass and hydrocarbon production to Fe (x1), Mn (x2), Mo (x3) and Ni (x4).
Runs | Independent variables | Responses | ||||
Coded levels | Biomass(g/L) | Hydrocarbon (%, w/w) | ||||
x1 | x2 | x3 | x4 | |||
1 | 1 | 1 | 1 | 1 | 0.246 | 14.82 |
2 | −1 | −1 | 1 | 1 | 0.292 | 14.31 |
3 | 1 | −1 | −1 | 1 | 0.251 | 15.45 |
4 | −1 | 1 | −1 | 1 | 0.296 | 14.56 |
5 | 1 | −1 | 1 | −1 | 0.124 | 13.99 |
6 | −1 | 1 | 1 | −1 | 0.120 | 13.42 |
7 | 1 | 1 | −1 | −1 | 0.136 | 14.83 |
8 | −1 | −1 | −1 | −1 | 0.125 | 13.86 |
9 | 1 | −1 | 1 | 1 | 0.257 | 13.96 |
10 | −1 | 1 | 1 | 1 | 0.320 | 14.12 |
11 | 1 | 1 | −1 | 1 | 0.248 | 14.19 |
12 | −1 | −1 | −1 | 1 | 0.306 | 14.00 |
13 | 1 | 1 | 1 | −1 | 0.116 | 13.96 |
14 | −1 | −1 | 1 | −1 | 0.121 | 15.26 |
15 | 1 | −1 | −1 | −1 | 0.105 | 14.68 |
16 | −1 | 1 | −1 | −1 | 0.126 | 13.96 |
17 | 1.72 | 0 | 0 | 0 | 0.215 | 20.23 |
18 | −1.72 | 0 | 0 | 0 | 0.231 | 19.24 |
19 | 0 | 1.72 | 0 | 0 | 0.123 | 12.25 |
20 | 0 | −1.72 | 0 | 0 | 0.121 | 11.59 |
21 | 0 | 0 | 1.72 | 0 | 0.118 | 18.57 |
22 | 0 | 0 | −1.72 | 0 | 0.124 | 20.18 |
23 | 0 | 0 | 0 | 1.72 | 0.289 | 12.54 |
24 | 0 | 0 | 0 | −1.72 | 0.094 | 11.90 |
25* | 0 | 0 | 0 | 0 | 0.124 | 19.31 |
26* | 0 | 0 | 0 | 0 | 0.120 | 18.46 |
27* | 0 | 0 | 0 | 0 | 0.123 | 19.17 |
28* | 0 | 0 | 0 | 0 | 0.127 | 20.13 |
29* | 0 | 0 | 0 | 0 | 0.122 | 19.74 |
30* | 0 | 0 | 0 | 0 | 0.126 | 18.45 |
Central point values contributing to the degree of freedom for pure error calculation.