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Table 4 Regression equations, statistics of regression equations for lipid content and biomass of C. oleaginosus and Y. lipolytica

From: Tailoring and optimizing fatty acid production by oleaginous yeasts through the systematic exploration of their physiological fitness

C. oleaginosus

Y. lipolytica

Dependent variable: Lipid content % (w/w)

\(Y\left(Lipid content\right)=39.26+4.85 {X}_{1}+10.08 {X}_{2}+2.59 {X}_{1}{X}_{2}-1.38 X{1}^{2}-14.01 {X}_{2 }^{2}\)

\(Y\left(Lipid content\right)=14.47+4.30 {X}_{1}-3.12 {X}_{2}-0.28 {X}_{1}{X}_{2}-1.50 X{1}^{2}-4.03 {X}_{2 }^{2}\)

Source

Estimate

p-values

Source

Estimate

p-values

Model

39.26

 < e-15***

Model

14.47

 < e-15***

X1

4.85

 < e-08***

X1

4.30

 < e-10***

X2

10.08

 < e-12***

X2

 − 3.12

 < e-07***

X1:X2

2.59

 < e-07***

X1:X2

 − 0.28

0.480

X12

 − 1.38

 < e-09***

X12

 − 1.50

0.011*

X22

 − 14.01

 < e-08***

X22

 − 4.03

 < e-05***

Dependent variable: Biomass (g/L)

\(Y\left(Biomass\right)=6.12+0.11 {X}_{1}+0.36 {X}_{2}-0.17 {X}_{1}{X}_{2}-0.02 X{1}^{2}-3.91 {X}_{2 }^{2}\)

\(Y\left(Biomass\right)=3.17+0.71 {X}_{1}-0.33 {X}_{2}-0.13 {X}_{1}{X}_{2}-0.14 X{1}^{2}-0.12 {X}_{2 }^{2}\)

Source

Estimate

p-values

Source

Estimate

p-values

Model

6.12

 < e-15***

Model

3.17

 < e-15***

X1

0.11

0.210

X1

0.71

 < e-09***

X2

0.36

0.005**

X2

 − 0.33

0.005**

X1:X2

 − 0.17

0.005**

X1:X2

 − 0.13

0.238

X12

 − 0.02

0.323

X12

 − 0.14

0.344

X22

 − 3.91

 < e-13***

X22

 − 0.12

0.500