Using SAS.

Plot the Mitscherlich function for different values of 1, 2, 3 using PROC GPLOT.

The Mitscherlich function is typically used for modelling the long term growth of a system: fM(t) := fM(t;1,2,3) := 1 + 2 exp(3t), t 0, where 1,2 R and 3 < 0. Since 3 is negative we have the asymptotic behavior limtfM(t) = 1 and thus the parameter 1 is the saturation value of the system. The (initial) value of the system at the time t = 0 is fM(0) = 1 + 2.

We have log(fG(t)) = 1 + 2t 3 = 1 + 2 exp(log(3)t), and thus log(fG) is a Mitscherlich function with parameters 1,2 and log(3). The saturation size obviously is exp(1).

(I'm having issues figure out what value intervals Beta1, Beta2, and Beta3 should be and what values of t I should use since beta3 < 0.)