How to fit the data using Weibull curve and find the slope (gradient)?

Hello experts,

I have a dataset (in x and y format) and I want to fit it using four-parameter Weibull curve. Moreover, I have to find a location where the gradient reaches a value of 0.5 moving from the mid-point of the curve. I really appreciate your valuable inputs and thanks in advance. My data structure is as follow:

   X  Y
0  47.549
2  46.7
4  47.449
6  49.905
8  53.27
10  57.909
12  62.872
14  67.295
16  70.777
18  72.665
20  73.519
22  73.946
24  74.16
26  74.504
28  75.058
30  75.567
32  75.792
34  75.687
36  75.823

Answer 1

[Shashank Prasanna]

You can do this in a variety of ways depending on what toolbox you have. This should help you get started:

http://www.mathworks.com/help/curvefit/weibull.html