n' = exp(persons*b1 + livebait*b2 + b3)
Note: it is possible that visitors who attempt to catch fish may fail,
thus also generating a zero count.
It is the third equation (/lncount) that models the degree of
overdispersion and divides the zero counts between those not attempting
to fish and those attempting to fish but failing to catch fish.
(However, the coefficient does not enter directly into manually
estimating the counts.)
The final step is to modify the count, n', to account for attempts to
catch fish, giving the overall modeled count as:
n = n' * [1 - P(n=0)]
This count matches that generated by -predict-.
Tom
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