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Table 3 Simplex lattice mixture design matrix used to study the influence of macaúba cake and residual oil mixture on lipase secretion by M. sphatulata R25L270 presenting the MC:RO proportions and the respective observed (y) and fitted (\( \hat{y} \)) values and residual errors (ε) for supernatant lipase activity (U mL−1) and supernatant total protein (mg mL−1) responses

From: Macaúba (Acrocomia aculeata) cake from biodiesel processing: a low-cost substrate to produce lipases from Moniliella spathulata R25L270 with potential application in the oleochemical industry

Simplex lattice mixture design

Lipase activity (U mL−1)

Total protein concentration (mg mL−1)

MC proportion

RO proportion

y

\( \hat{y} \)

ε

y

\( \hat{y} \)

ε

1.00

0.00

0.79

0.73

0.056

0.399

0.326

0.0726

0.00

1.00

0.04

0.07

−0.026

0.098

0.098

0.0003

0.50

0.50

1.02

0.93

0.092

0.318

0.332

−0.0139

0.75

0.25

0.85

0.96

−0.113

0.321

0.359

−0.0381

0.25

0.75

0.69

0.63

0.061

0.248

0.245

0.0032

1.00

0.00

0.77

0.73

0.036

0.273

0.326

−0.0534

0.00

1.00

0.04

0.07

−0.026

0.09

0.098

−0.0077

0.50

0.50

0.96

0.93

0.032

0.381

0.332

0.0491

0.75

0.25

0.85

0.96

−0.113

0.347

0.359

−0.0121