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Default how do I plot a logistic curve

I need to fit a logistic curve to data points on a scatter plot to determine
if regression (r^2) values are closer to 1, then linear or exponential
regression lines. The formula is Y = N/1+Ab^-t where N = 281422, A =
281421, b = %increase/time (slope), and t = time (x axis) my data points are
as follows:
(0,38558),(10,49371),(20,62980),(30,76212),(40,922 28),(50,106022),(60,123203),(70,132165),(80,151326 ),(90,179323),(100,203212),(110,226546),(120,24871 0),(130,281422) examples are greatly appreciated.
 
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