Frank (1978) reports on the following experiment to estimate the number of minnows in a tank. The first two samples used a minnow trap to catch fish, while the third used a net to catch the fish. Minnows trapped in the first sample were marked by clipping their caudal fin, and minnows trapped in the second sample were marked by clipping the left pectoral fin.

Which log linear model provides the best fit to these data? Using that model, estimate the total number of fish, and provide a 95% CI.

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Sample 1? Sample 2? Sample Number of Fish yes yes no no yes yes no yes no yes no yes no yes yes yes yes yes no no no 17 28 52 234 80 223 400