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a) Use the matrix equation derived in the class to predict the parameters for the linear model using Gaussian elimination. Calculate also R2 using the formula given in the class.

a) Use the matrix equation derived in the class to predict the parameters for the linear model using Gaussian elimination. Calculate also R2 using the formula given in the class.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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a) Use the matrix equation derived in the class to predict the parameters for the linear model using Gaussian elimination. Calculate also R² using the formula given in the class.
Transcribed Image Text:a) Use the matrix equation derived in the class to predict the parameters for the linear model using Gaussian elimination. Calculate also R² using the formula given in the class.
The enzyme alpha-amylase converts starch into small molecules such as glucose and maltose. Starch → Small Molecules To characterize the kinetic behaviour of the enzyme, 5 different experiments were performed with different initial starch concentrations in an enzyme bioreactor. In each experiment, the corresponding reaction rate, V, was measured. The data is shared below. S (MM) V (mm/min) 1.0 2.0 1.2 3.0 1.5 3.5 2.0 4.0 5.0 4.5 For a given input substrate concentration, you want to construct three models: a linear model (ŷ = ao + a₁x), a cubic model (ŷ = ao + a₁x² + a2x³), and a model based on Michaelis-Menten equation for the prediction of reaction rate.
Transcribed Image Text:The enzyme alpha-amylase converts starch into small molecules such as glucose and maltose. Starch → Small Molecules To characterize the kinetic behaviour of the enzyme, 5 different experiments were performed with different initial starch concentrations in an enzyme bioreactor. In each experiment, the corresponding reaction rate, V, was measured. The data is shared below. S (MM) V (mm/min) 1.0 2.0 1.2 3.0 1.5 3.5 2.0 4.0 5.0 4.5 For a given input substrate concentration, you want to construct three models: a linear model (ŷ = ao + a₁x), a cubic model (ŷ = ao + a₁x² + a2x³), and a model based on Michaelis-Menten equation for the prediction of reaction rate.
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