Chapter 12
Introduction to Nonlinear Regression
12.1 As θ2 decreases, the curve becomes steeper.
12.3 As θ3 increases, the curve becomes steeper.
12.5 a. As θ2 decreases, the curve becomes steeper.
b. As x → ∞, E(y) → 1.
c. When x = 0, E(y) = θ1 exp{−θ2}.
12.7 a. This is an intrinsically linear model.
b. The model is nonlinear.
c. The model is nonlinear.
d. This is an intrinsically linear model.
e. The model is nonlinear.
12.9 = −.121
x2 + 1.066
e.4928x1. An approximate 95% confidence interval for θ
3 is (−1.027, .785). Since this interval contains 0, we conclude there is no difference in the two days.
12.11 a.
b. = .3896 − (−.2194)
e−.0992x. The starting values were obtained by plotting ...