Question: Problem with NonlinearFit

Hallo,
I have to estimate a logistic growth function, with the functional form
f(t)=A/(B+exp(-k*t))
The dataset is given by


X:=[1950,1960,1970,1980,1990,2000,2010];

which describes the values of t
and by


Y:=[2.53,2.76,3.12,3.75,4.2,4.3,4.35];

which describes the values of f(t).
I now have to estimate the values of A,B and k.
I tried NonlinearFit by

with(Statistics):
NonlinearFit(A/(B+exp(-k*t)),X,Y,t);


but the result does not fit the data at all. What can I do?

 

 

 

 

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