In this paper, we present an application of GAMLSS (Generalized Additive Models for Location, Shape and Scale) to study bacterial cellulose production from agro-industrial waste. An experiment was conducted to research the effects of pH and cultivation time on bacterial cellulose yield obtained from discarded bananas. Several models were fitted to the collected data to determine an estimated expression for the mean and variance of bacterial cellulose yield. We found that the mean and variance of cellulose yield decrease as pH increases, while the opposite occurs as cultivation time increases.