Table 2.
Model term | Coefficient estimate | Computed t value | p value | Confidence level (%) | |
---|---|---|---|---|---|
prob > F | |||||
(a) Model coefficient estimated by regressions | |||||
Intercept | 0.443596 | 56.21 | 0* | 100 | |
CMC (X1) | 0.087215 | 16.657 | 0* | 100 | |
Yeast extract (X2) | −0.028983 | −5.535 | 0* | 100 | |
Peptone (X3) | −0.008664 | −1.655 | 0.129 | 87.1 | |
CMC × CMC | −0.045706 | −8.967 | 0* | 100 | |
Yeast extract × yeast extract | 0.008741 | 1.715 | 0.117 | 88.3 | |
Peptone × peptone | −0.011942 | −2.343 | 0.041* | 95.9 | |
CMC × yeast extract (X1 × X2) | 0.0175 | 2.558 | 0.028* | 97.2 | |
CMC × peptone (X1 × X3) | 0.02175 | 3.179 | 0.01* | 99 | |
Yeast extract × peptone (X2 × X3) | 0.02975 | 4.349 | 0.001* | 99.9 |
Source | DF | SS | MS | F value | p value |
---|---|---|---|---|---|
prob > F | |||||
(b) ANOVA for quadratic model | |||||
Regression | 9 | 0.163 | 0.0182 | 48.51 | 0 |
Linear | 3 | 0.116 | 0.0388 | 103.61 | 0 |
Square | 3 | 0.0338 | 0.0113 | 30.05 | 0 |
Interaction | 3 | 0.0133 | 0.00444 | 11.85 | 0.001 |
Residual (error) | 10 | 0.00374 | 0.000374 | ||
Lack of fit | 5 | 0.00281 | 0.000561 | 2.99 | 0.127 |
Pure error | 5 | 0.000938 | 0.000188 | ||
Total | 19 | 0.167 |
DF degrees of freedom, SS sum of squares, MS mean square
* Significant p values, p ≤ 0.05; R2 = 0.9776; predicted R2 = 0.8642; adjusted R2 = 0.9575