Table 4.

Coefficients of the second order equations, prediction models for total carotenoids production.

Analysis of variance
Source of variation	DF	Sum of squares	Mean Square	F-Value	P-Value
Model	14	0.11	0.07	2.105
Error	11	0.04	0.03	Prob > F	P < 0.001
C. Total	25	0.15		0.1102
Lack of Fit
Lack-of-Fit	10	0.04	0.04	Prob > F	P > 0.10
Pure Error	1	0.00	0.00
Total Error	11	0.04
Parameter Estimates
Source	DF	Coefficient	Standard error	F-Value	P-Value
Interceptor	1	0.248	0.024	6.78	< 0.0001*
X1 (Medium: 1,3)	1	−0.002	0.014	7.51	0.0006**
X2 (salinity: 25,55)	1	0.003	0.014	26.85	< 0.0001*
X3 (Day: 1,6)	1	0.034	0.014	457.75	< 0.0001*
X4 (Solvent: 1,3)	1	0.008	0.014	46.01	< 0.0001*
X12 (Medium*Medium)	1	−0.004	0.038	3.63	0.0003**
X22 (salinity*salinity)	1	−0.044	0.038	24.22	< 0.0001*
X32 (Day*Day)	1	−0.008	0.038	5.1	0.0234***
X32 (Solvent*Solvent)	1	−0.049	0.038	−1.30	0.0320***
X1 X2 (Medium*Salinity)	1	0.013	0.015	17.46	< 0.0001*
X1 X3 (Medium*Day)	1	0.029	0.015	43.92	< 0.0001*
X1 X4 (Medium*Solvent)	1	0.014	0.015	41.96	< 0.0001*
X2 X3 (Salinity*Day)	1	−0.005	0.015	4.08	0.0436***
X2 X4 (Salinity*Solvent)	1	0.016	0.015	5.25	0.0055**
X3 X4 (Day*Solvent)	1	−0.032	0.015	15.99	< 0.0001*