Consider the Gompertz model in Eq. (12.35). Graph the expectation function for \(\theta_{1}=1, \theta_{3}=1\), and \(\theta_{2}=\frac{1}{8}, 1,8,64\) over the range \(0 \leq x \leq 10\).

Equation (12.35)

a. Discuss the behavior of the model as a function of \(\theta_{2}\).
b. Discuss the behavior of the model as \(x \rightarrow \infty\).
c. What is \(E(y)\) when \(x=0\) ?

Transcribed Image Text:

y=0 exp(-0e)+