Consider the following observations: a. Fit the nonlinear regression model y e x = + 1 2 to these data. Discuss how

Consider the following observations:

a. Fit the nonlinear regression model y e x = + θ ε θ 1 2 to these data. Discuss how you obtained the starting values.

b. Test for signifi cance of regression.

c. Estimate the error variance σ2 .

d. Test the hypotheses H0 : θ1 = 0 and H0 : θ2 = 0. Are both model parameters different from zero? If not, refi t an appropriate model.

e. Analyze the residuals from this model. Discuss model adequacy.

x y 0.5 0.68 1.58 124800 0.45 2.66 2.50 2.04 6.19 7.85 56.1 54.2 9 89.8 90.2 10 147.7 146.3