Table 4 Fit summary of Box-Behnken design representing bacterial nanocellulose production by Bacillus haynesii 9.1AP strain as influenced by temperature (X1), date waste extract (%) (X2), and initial pH level (X3).

From: Sustainable production of bacterial nanocellulose from date fruit waste using Bacillus haynesii for waste valorisation and crystal violet dye removal

Fit summary

 

Source

Sequential P-value

Lack of fit P-value

Adjusted R2

Predicted R2

Linear

0.2813

0.0042

0.088

− 0.1135

 

2FI

0.5529

0.0036

0.021

− 0.2091

 

Quadratic

 < 0.0001

0.4249

0.9939

0.9745

 

Sequential model sum of squares

Source

Sum of squares

df

Mean square

F-value

P-value

Prob > F

Linear vs mean

2.82

3

0.9414

1.45

0.2813

2FI vs linear

1.57

3

0.5217

0.7489

0.5529

Quadratic vs 2FI

5.55

3

1.85

428.07

 < 0.0001

Lack of fit tests

Source

Sum of squares

df

Mean square

F-value

P-value

Prob > F

Linear

7.13

9

0.7925

237.74

0.0042

2FI

5.57

6

0.9278

278.35

0.0036

Quadratic

0.015

3

0.005

1.5

0.4249

Model summary statistics

Source

Standard deviation

R-squared

Adjusted R-squared

Predicted R-squared

PRESS

Linear

0.8056

0.2835

0.088

− 0.1135

11.09

2FI

0.8347

0.4406

0.021

− 0.2091

12.05

Quadratic

0.0658

0.9978

0.9939

0.9745

0.2542

  1. *Significant values, df: degree of freedom, PRESS: sum of squares of prediction error, two factors interaction: 2FI.