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I have this equation: $y(t)=aE^{-bE^{-ct}}$ and I have this list: 

{{0.11, 0.78}, {0.12, 0.81}, {0.88, 2.37}, {1.17, 2.8}, {1.48, 2.84}, {1.96, 3.2}, {2.98, 3.42}, {3.27, 3.19}, {3.61, 3.23}, {3.75, 3.09}}

which is (t, y(t)). Now I want to use that information of y(t) and t to solve in y(t) for a b and c. I think I would have to use each pairs once at a time but is there a command to loop through to entire list and solve using those pairs of values? Thank you.

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    $\begingroup$ NonlinearModelFit $\endgroup$
    – Quantum_Oli
    Mar 25, 2016 at 18:06
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    $\begingroup$ You have three variables to solve for but only one condition specified (i.e. $(t,y(t))$ for each point. Do you mean instead to do a fit to the data as noted by @Quantum_Oli? $\endgroup$
    – march
    Mar 25, 2016 at 18:08
  • $\begingroup$ Can you tell me more information about the command? I read the documentation for it but I don't quite understand the usage. $\endgroup$
    – Ccyan
    Mar 25, 2016 at 18:09
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    $\begingroup$ The first example under Basic Examples should show you all you need. Your data are your list of values, the instead of Log[a+b x^a] put the form of your model, instead of {a,b}, your have three fit parameters {a,b,c} and you want to fit over t not x (provided you continue to use t in your model). $\endgroup$
    – Quantum_Oli
    Mar 25, 2016 at 18:10
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    $\begingroup$ I would guess either your tyt list isn't well formed, or you haven't got spaces between your b and E and / or c and t. $\endgroup$
    – Quantum_Oli
    Mar 25, 2016 at 18:17

1 Answer 1

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To help you find your way, it should look something like this: (I know not posting copyable code goes against the norm but it's simple enough and helps to type it out oneself I believe)

enter image description here

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  • $\begingroup$ Would you also happen to know how to display the fitted parameters and errors on each parameter as a table? I'm also trying to do that. $\endgroup$
    – Ccyan
    Mar 25, 2016 at 18:21
  • $\begingroup$ Umm... Look up 2 inches? :D $\endgroup$
    – Quantum_Oli
    Mar 25, 2016 at 18:22
  • $\begingroup$ Oh boy am I blind. Sorry for the troubles and thank you so much again! $\endgroup$
    – Ccyan
    Mar 25, 2016 at 18:23

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