Logistic Curve-Fitting and Parameter Estimation of a Specific Logistic Function

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Chris
Chris 2013-7-26
Hi, I would like to fit my data to a specific logistic function and estimate the values of each parameter in said logistic function.
DATA:
x = [0 1 1.5 1.6 1.8 2 2.25 2.3 2.4 2.55 2.61 2.7 2.75 2.8 2.9 2.94 3 3.1 3.15 3.2 3.3 3.45 3.5 3.55 3.6 3.7 3.8 3.88 3.96 4 4.1 4.3 4.6 5]
y = [0.17 0.2 0.99 1.56 3.55 4.52 11.14 13.27 16 22.65 25.3 29.57 31.65 33.91 39.13 40.6 42.55 45.12 46.31 47.18 48.63 50.04 50.34 50.55 50.72 50.93 51.04 51.1 51.13 51.14 51.16 51.17 51.18 51.18]
LOGISTIC FUNCTION:
1/(A+B*exp(-C*x))
PARAMETERS:
A, B, C
---Also, based on curve-fitting with LoggerPro and CurveExpert Professional, the values of the parameters should come out to equal:
A = 0.01934, B = 368.1, C = 3.775
Any advice, tips, or ideas would be very helpful; also, I don't have the curve-fitting toolbox.

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