The following data were obtained for the growth of a sheep population introduced into a new environment on the island of Tasmania (adapted from J. Davidson, ``On the Growth of the Sheep Population in Tasmania,'' Trans. R. Soc. S. Australia 62(1938): 342346).

a. Make an estimate of M by graphing P(t).
b. Plot ln[P/M–P)] against t. If a logistic curve seems reasonable, estimate rM and t^∗.