3.10 The model y = 2e~^x + is called the Mitcherlich equation, and it is often used in chemical engineering to model

3.10 The model y = β — ß2e~^x + ε is called the Mitcherlich equation, and it is often used in chemical engineering to model the relationship between yield and reaction time.

(a) Is this a nonlinear regression model?

(b) Discuss how you would obtain starting values for the parameter estimates.

(c) Graph the expected response for β\ = 0.5, β2 = -0.1 , and β3 = 0.1. Discuss the shape of the curve.

(d) Graph the expected response for β\ = 0.5, β2 = 0.1, and j53 = 0.1. Discuss the shape of the curve. How does it compare to the curve obtained in part (c)?