Use the profile log likelihood plot in the previous exercise to obtain a nominal 95\% confidence interval for \(\tau\).

Data From previous exercise 

Section 5.4.2

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For the model with persistent aviary patterns described at the end of Sect. 5.4.2, compute and plot the REML profile log likelihood for in the range 0.5 T 24. Use PC1 as the response, and (5.2) for the mean-value subspace. The covariance should be a linear combination of five matrices, one each for the identity matrix and the identity restricted to baseline, two Brownian-motion product matrices as in (5.4), and one T-shifted B-M product matrix. Ten to twelve points equally spaced on the log scale should suffice for plotting.