How do we use matrices to find estimates in Linear Models?
A 4 × 400 relay race is run as follows. There are four runners, each of whom runs 400 meters. The first runner carries a baton, which she passes to the second runner, etc. Each runner’s time is taken by a coach. The four coaches report times of 59.0, 61.0, 61.0, 59.0.
Suppose that another coach takes the time of the entire team, and he reports 4:01. Provide a point estimate together with a 95% confidence interval for the true time of runner
This would be a combination of random variables and we need to use expectation of a random matrix and covariance matrix to estimate the values(?)