Problem 1: t Y 1 82 2 112 3 153 4 163 5 176 6 192 7 200 Fit the following model to the data: a) (10 pts) Using 01 = 200 and 02 = 0.4 as starting values, determine point estimates for 01" and 02" by the Gauss-Newton Method, continuing the process until two successive iterations give values for 01 and 0, which do not change in the rounded-off third decimal figure. Show (or plot) the parameter values and the value of the objective function at each iteration step. b) (5 pts) Plot the 95% 'elliptical' joint confidence contour for 01 and 02 . c) (5 pts) Find the joint confidence contour with correct shape/approximate probability at the 95% confidence level