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Nov 3, 2019 at 0:26 vote accept Houndbobsaw
Nov 2, 2019 at 15:43 history closed Peter Flom Needs details or clarity
Nov 2, 2019 at 15:43 comment added Peter Flom I agree with @MichaelHardy. What is Y? What is t? Why are you fitting a curve like the one you have? My blog post how to ask a statistics question may help you write this in a way that can be answered.
Nov 2, 2019 at 11:35 review Close votes
Nov 2, 2019 at 15:43
Nov 2, 2019 at 11:13 comment added NotMe Could you tell us why you think that the confidence intervals of the fit parameters are too small?
Nov 2, 2019 at 11:11 answer added NotMe timeline score: 1
Nov 2, 2019 at 10:44 comment added James Phillips I suggest adding the tag "mathematica" to the question.
Nov 2, 2019 at 5:29 comment added Michael Hardy I'm reacting to the fact that you're being difficult. You still haven't said anything about any values of $t$, although I've mentioned that several times.
Nov 2, 2019 at 4:55 comment added Michael Hardy Suppose one has $$ y = a\cos(2\pi t) + b \sin(2\pi t)+c\cos(4\pi t)+d\sin(4\pi t)+e. $$ Then data could consist of observed values of $y$ and of $t,$ and one might be able to estimate the coefficients. But if you say you have observed values of $y,$ but not of $t,$ and you write $$ a\cos(2\pi t)+b\sin(2\pi t) + c\cos(4\pi t)+d\sin(4\pi t)+e $$ with no variable called $y,$ then at best we can guess what you mean, and guessing is what I am doing here.
Nov 2, 2019 at 4:46 comment added Michael Hardy Your question remains incomprehensible. You say "each with some different value $y$", but then nothing called $\text{“}y\text{''}$ appears in what follows.
Nov 2, 2019 at 4:27 comment added Houndbobsaw Removed the a's. I just want to say each point has some value. The main point of my question i suppose is how to find the errors in the fitted parameters for a NonlinearModelfit of the said function performed on a dataset?
Nov 2, 2019 at 4:23 history edited Houndbobsaw CC BY-SA 4.0
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Nov 2, 2019 at 4:19 comment added Michael Hardy Your question is absolutely opaque. One might speak of fitting a function $y = a\cos(2\pi t)+b\sin(2\pi t)+c\cos(4\pi t)+d\sin(4\pi t)+e$ where your sample includes some observed values of $y$ and of $t,$, but you speak of $a_i,$ $i=1,\ldots,N$ without saying whether those are in the role of $y$ or of $t.$ Your question as now written cannot be understood.
Nov 2, 2019 at 4:10 history asked Houndbobsaw CC BY-SA 4.0