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100 CONFIDENTIAL 8/10 QUESTION 2: (35 Marks) As a fresh chemical engineering graduate, you are currently employed under PfiterCo Sdn. Bhd. as a research scientist.
100 CONFIDENTIAL 8/10 QUESTION 2: (35 Marks) As a fresh chemical engineering graduate, you are currently employed under PfiterCo Sdn. Bhd. as a research scientist. Your company is interested in the production of COVID-11 vaccine using photoautotrophic cultivation of genetically modified green microalgae Chlorella vulgaris MIU-89. Hence, you are assigned to monitor the growth of Chlorella vulgaris by assessing its biomass concentration (x) as a function of time (t). The table below presents the biomass concentration (x) measurement as a function of time (t). Time, t (d) Biomass concentration, X (g/L) 1.57 0.7957 2.61 0.9843 3.31 1.0316 4.68 1.3111 7.81 2.1012 9.71 2.3977 (a) Fits a linear regression for the relationship between the time and the biomass concentration. Calculate the correlation coefficient of the linear regression. (12 Marks) (b) By applying linearized exponential model, fits a linear regression for the relationship between the time and the biomass concentration. Find the correlation coefficient of linear regression of linearized exponential model. (Given general formula of exponential model: y = ) (18 Marks) (c) Predict the biomass concentration of Chlorella vulgaris at 16 days by using the developed linear regression and the linear regression of linearized exponential model Comment on the appropriateness of both values and select the most appropriate value. (5 Marks) hp
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