Question: For the train accidents in Problem 9.19, a negative binomial model assuming constant log rate over the 14-year period has estimate 4.177 (SE = 0.153)

For the train accidents in Problem 9.19, a negative binomial model assuming constant log rate over the 14-year period has estimate –4.177 (SE = 0.153) and estimated dispersion parameter 0.012. Interpret.

Data from Problem 9.19:

A table at the text’s Web site (www.stat.ufl.edu/ ∼aa/cda/cda.html) shows the number of train miles (in millions) and the number of collisions involving British Rail passenger trains between 1970 and 1984. A Poisson model assuming a constant log rate α̂ over the 14-year period has α̂ = – 4.177 (SE = 0.1325) and X² = 14.8 (df = 13). Interpret.

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