Table 7.
Coefficients of the reduced regression equations obtained for the evaluated responses
| Y1 | Y2 | Y3 | Y4 | |
|---|---|---|---|---|
| Regression coefficients | ||||
| b0 | 66.08 (P < 0.0001) | 207.22 (P < 0.0001) | 0.177 (P < 0.0001) | −4.046 (P < 0.0001) |
| b1 | 10.39 (P = 0.0038) | 29.98 (P = 0.0021) | 0.024 (P = 0.0389) | 1.793 (P = 0.0007) |
| b2 | −10.30 (P = 0.0039) | −34.13 (P = 0.0013) | −0.026 (P = 0.0327) | 0.911 (P = 0.0087) |
| b3 | −15.63 (P = 0.0008) | −63.33 (P = 0.0001) | 0.028 (P = 0.0248) | −1.006 (P = 0.0062) |
| b12 | – | – | 0.034 (P = 0.0408) | −0.814 (P = 0.0390) |
| b13 | – | – | – | – |
| b23 | −8.22 (P = 0.0279) | 18.08 (P = 0.0393) | – | 2.273 (P = 0.0011) |
| b11 | – | −22.80 (P = 0.0174) | – | 1.275 (P = 0.0083) |
| b22 | – | – | – | 0.820 (P = 0.0352) |
| b33 | – | 50.53 (P = 0.0010) | – | – |
| Analysis of variance of the regression | ||||
| R2 | 0.9363 | 0.9451 | 0.5601 | 0.9482 |
| MSR/MSr (Fcritical) | 44.09 (F4,12 = 3.26) | 28.70 (F6,10 = 3.22) | 3.80 (F4,12 = 3.26) | 22.85 (F7,9 = 3.29) |
| MSlack of fit/MSpure error (Fcritical) | 0.91 (F8,4 = 6.04) | 3.54 (F6,4 = 6.16) | 3.48 (F8,4 = 6.04) | 1.98 (F5,4 = 6.26) |
Notes: MSR, mean square due to regression; MSr, residual mean square; MSlack of fit, mean square for lack of fit; MSpure error, mean square for pure error; Fcritical, scored Fν1,ν2 value, at 95% confidence interval, where “ν1” and “ν2” are the degrees of freedom for the numerator and denominator, respectively.