Source of variation DF1) Sum of squares Mean square F-value p-value
The model for total carotenoid production (Y2)2)          
Regression 9 405.65 45.07 17.03 0
Linear 3 107.37 40.55 15.32 0
Square 3 292.9 97.63 36.89 0
Interaction 3 5.39 1.8 0.68 0.585
Residual error 10 26.79 2.65    
Lack-of-fit 5 30.47 5.22 69.71 0
Pure error 5 0.37 0.07    
Total 19 432.12      
Model terms Coefficient DF Standard error t-value p-value
Intercept -72.31 1 12.37 -5.85 0
x1 (temperature) 2.27 1 0.36 6.38 0
x2 (pH) 9.54 1 2.24 4.24 0.002
x3 (salinity) 0.85 1 0.41 2.06 0.066
x12 (temperature * temperature) -0.03 1 0 -9.007 0
x22 (pH * pH) -0.68 1 0.13 -5.04 0.001
x32 (salinity * salinity) -0.03 1 0 -4.72 0.001
x1 x2 (temperature * pH) 0.005 1 0.03 0.17 0.867
x1 x3 (temperature * salinity) 0 1 0 -0.07 0.948
x2 x3 (pH * salinity) 0.05 1 0.04 1.41 0.188
1) Degree of freedom
2) R2=93.87% and adjusted R2 (R2 adj)=88.36%
Table 3: Analysis of variance (ANOVA) for total carotenoid production by Halorubrum sp. TBZ126.