highly significantp < 0.0001
Carotenoids A highly significant quadratic response surface model ( F value = 34.51, p < 0.0001) was developed to describe carotenoid production by N . intermedia , demonstrating exceptional explanatory power with an R 2 of 0.9780 and an adjusted R 2 of 0.9496, whereas a high adequate precision ratio of 18.88 confirmed its reliability for prediction (Figure 3 ).