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Table 5 Significance test of regression coefficient of the central composition experiment

From: A newly isolated Bacillus licheniformisstrain thermophilically produces 2,3-butanediol, a platform and fuel bio-chemical

Variable Coefficient Standard error T-value P-value
Intercept 41.8017 0.5181 80.6810 0.0002
X 1 0.3089 −0.3440 0.8979 0.3903
X 2 −0.3078 −0.3440 −0.8946 0.3920
X 3 1.5652 −0.3440 4.5496 0.0010 a
X 1 2 −1.9426 −0.3440 −5.8005 0.0002 a
X 1 X 2 −1.2662 0.4495 −2.8170 0.0182 a
X 1 X 3 0.1538 0.4495 0.3420 0.7394
X 2 2 −2.8194 0.3349 −8.4185 0.0001 a
X 2 X 3 −0.3888 0.4495 −0.8649 0.4074
X 3 2 −1.8012 0.3349 −5.3782 0.0003 a
  1. R2 = 0.9350, R2 (Adj) = 0.8766.
  2. a Statistically significant at 95% of confidence level (p < 0.05).