Exact(16)
The quadratic model was expressed in terms of coded variables (Eq. 19) and in terms of actual variables (Eq. 20).
The final equation in terms of coded factors for the central composite response surface quadratic model is shown in Equation 2.
Table 11 Regression equation for DP rating in terms of coded values using citric acid Response (Y) Regression equation with all factors R R2 Adj.
The final empirical formula models for the responses in terms of coded factors are represented by Eqs. 6 and 7, respectively.
On the basis of the quadratic polynomial equation of response surface model (Equation 1), the present model and data analysis not only allowed the definition of optimum conditions for endoxylanase activity but also showed the combined effect of independent variables such as pH (A), temperature (B), and substrate concentration(C) on the endoxylanase activity in terms of coded factors in Equation 2.
Neglecting the statistically insignificant terms (P > 0.05) and recalculating the coefficients, the quadratic models for D-isoascorbyl palmitate conversion ratio in terms of coded factors are presented as follows: Y = 58.43 + 4.48 X 1 + 9.76 X 2 + 3.49 X 3 + 7.60 X 4 - 3.47 X 2 X 4 + 1.97 X 1 2 + 3.04 X 2 2 + 2.99 X 3 2 + 3.08 X 4 2 (1).
Similar(44)
The quadratic model for predicting the degradation efficiency (( eta_{text{prd}} )) in terms of the coded variables is as follows: eta_{text{prd}} = 96.02 + 2.43 A + 1.09 B + 2.85 C - 0.46 AB - 1.31 AC - 0.77 A^{2}.
This is because this characteristic provides constant variance of the estimated response corresponding to all new observation points that are at the same distance from the center point of the design (in terms of the coded variable).
The experimental values obtained from the CCRD were regressed by using a quadratic polynomial equation, and the two regression equations, expressed in terms of the coded factors defined in Table 3 were as follows: X1, glucose; X2, soy peptone; X3, MnSO4·H2O; X4, initial pH.
The equation in terms of the coded factors is given as follows: (3) Enzyme activity = + 1649.06 − 111.94 B + 159.06 C + 202.50 E + 161.31 B C + 88.13 B E − 42.25 C E + 101.88 B C E. On the basis of calculated t values, the moisture content, beef extract, and NaH2PO4 were selected for further optimization using RSM.
Monte Carlo simulations assess also the link level performance of spatial multiplexing in terms of turbo-coded BER and data throughput.
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