Questions tagged [fitting]
Questions on the use of Mathematica to construct models for approximating empirical data.
1,234
questions
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Fittings of three equations
Can you help me to do the fit for the following equations to obtain the values of $a$ and $b$.
{20.7 == a + b/(5^4), 28.62 == a + b/(6^4), 32.04 == a + b/(7^4)}
...
2
votes
3answers
61 views
Solving ODE System and Estimating Parameters with Experimental Data
I am new to Mathematica. I am trying to find out the best-fit values of the parameters appearing in an ODE system of three equations.
The three ODE equations are:
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1
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1answer
75 views
Is it feasible to curve fit to a staircase function? [closed]
Taking as a starting point the advice given in this post I am trying to fit data to a staircase function as follows:
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6
votes
1answer
104 views
Mathematica slow at estimating vector autoregressive model parameters
I have been trying to obtain VAR model parameters using EstimatedProcess and FindProcessParameters. It seems to take a very long time as soon as I have more than 6 or 7 time series and lag length >2.
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0answers
35 views
How can I get the standard error of parameters from FindFit?
I used FindFit with Norm function as written below.
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1
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0answers
30 views
How to perform a 2D-multi-peak fitting?
I am wondering how to decompose the data[x,y] into several elliptic-shaped functions,
i.e. $f[x,y]=\frac{H}{(1+(\frac{x-x1}{a1})^2+(\frac{y-y1}{b1})^2)^{3/2}}$.
I could follow in 1D case, ...
5
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0answers
100 views
What does “Solved to an acceptable level” mean in the context of NonlinearModelFit in M12
I made a simple cosine fit to some data:
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2
votes
2answers
166 views
How to merge two or more curves smoothly?
I have plotted three curves. For each range of $x$, one of those curves is true. On the other hand, finally, the result must be a unified curve. Is there any command to unify these three curves?
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0
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1answer
67 views
Fitting different data sets with different models and 2 free variables using FindFit
I have a T1 equation from which I got two noisy datasets, one for y=0 (datax) and the other for x=0 (datay) (t is always equal to 1):
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51 views
2
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0answers
178 views
How to fit my data with following equation?
I have set of data of electronic specific heat ($C_{el}/\gamma_n T$) vs temperature ($T/T_c$). My fit equation is this
$$\frac{C_{el}}{\gamma_n T}=-\frac{6}{\pi ^2}\alpha \frac{\mathrm{d} }{\mathrm{...
1
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2answers
59 views
extrapolation data
I need help to extrapolate these data:
θ = {20.7, 28.62, 32.04};
ω = {5, 6, 7};
using this equation:
θ(ω)=θ(ω⟶∞)+ c /ω^n to know what the values of c and n
I ...
0
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1answer
41 views
2
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0answers
31 views
Strange result in LinearModelFit ANOVATable
For one of the models I'm building, the p-value in the ANOVA table obtained from the "ANOVATable" properties of a LinearModelFit ...
0
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1answer
65 views
High r square but strong pattern in residuals [closed]
I analyze the development of the total number of users over time. It is obvious that a linear regression fits the data. The r squared is then also 0.9961.
Now the problem: a plot of the residuals ...
1
vote
1answer
61 views
How to interpret TimeseriesModelFit parameters? [closed]
I have problems interpreting the parameters that follow using the TimeseriesModelFit command. The time series exists of twelve months and show a positive linear trend. Using TimeseriesModelFit it ...
2
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1answer
98 views
how can draw a scatter plot with a regression line across regions using Manipulate[…]
I have the following code:
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3
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2answers
206 views
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0answers
64 views
Fit a three-pulse sequence
I am wondering how to properly fit the three-pulse sequence shown below.
I have tried a method which is fitting the three pulses with three polynominal functions seperately and then finding the x-...
2
votes
3answers
125 views
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0answers
65 views
Big Confidence Interval for seemingly rather accurate variable, NonLinearModelFit [closed]
I used NonLinearModelFit to fit a function of the form a*Abs(Cos(x))^b to a set of 5 points, that each have a uncertainty. My ...
0
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1answer
55 views
Parameter space for a class of problems
I have some simple equations like
p1=(9x+30y^2+28z)/Sqrt[x^2+y+z^3];
p2=(90x+30z)/Sqrt[x^2+z];
p3=(76x^2+57y+z)/z;
p4=(5x+36y)
Now I have the range of p1,p2,p3,...
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0answers
40 views
Fitting CauchyDistribution to data list to determine peak
I have a list of data in the form like this {{-3,12},{-3.01,13.4},{-3.04,13.6},...} where the x value is time and the y value is current.
FindPeak gives me peaks for everydata point i have and ...
1
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0answers
41 views
Find a differential equation from data set
I'm trying to fit a differential equation to a large dataset, but I'm not achieving anything.
This is my dataset
and my differential equation/model is
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0answers
41 views
5
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4answers
233 views
Fitting a curve between two sets of points
If I have two lists of points ${x,y}$, say list1 and list2 and I need to find a continuous function $y(x)$ that goes above all ...
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0answers
33 views
LinearModelFit with predefined coefficients
I want to use an estimation procedure different from OLS (say, LAR or LASSO), but then use the LinearModelFit to produce all the diagnostic statistics.
Can I make LinearModelFit or the FittedModel ...
0
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1answer
82 views
Transform function {a,b} ->{x,y} ; how to?
I have a 2D list of values that I want to transform/calibrate to another 2D list. I thought of using a predict function but I couldn’t get it to output 2 values.
—...
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0answers
83 views
Measuring Degree Correlations of Networks
I'm trying to write a program that will measure the degree correlation of the network. The theory is here (page 8).
I've written something like this up to now:
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5
votes
1answer
286 views
Why is slope of my linear fit the wrong sign for my data? [closed]
For my lab, I have to fit a line to a linear set of data. Pretty simple. I've done it before with good results using the Fit function. Well this time it didn't work--as the picture below shows, the ...
0
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0answers
26 views
Define a delayed function with tested patterns for fitting
This question is a variant of "Define function using variable list"
Fitting functions require a model function defined in terms of explicit symbols that should only evaluate given numeric inputs, and ...
9
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2answers
525 views
2
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1answer
52 views
Calculate and plot mean values of pairs of data points
I have a list of data points where there can be multiple y values for a given x value, e.g., {{0, 4}, {1, 2}, {1, 3}, {2, 3}}. I would like to
Take the mean of the y values for each x value. Get a ...
0
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2answers
99 views
Non linear fit data
I am trying to fit this data with this two models.
In the first one, the solution is too far from the exact values.
In the second one, there is an error.
Could you please help?
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1
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1answer
87 views
Logistic fit of data
I would like to use LogitModelFit to find the logistic function to my data.
The error I obtain is
LogitModelFit::binrsp: The response values are expected to be ...
0
votes
2answers
96 views
How to correctly show the slope of a linear part on LogPlot
I need to plot an Interpolation function of one independent variable (only a 3kB file) on LogPlot and show the slope of its linear part together on the ...
0
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1answer
54 views
Why does the FindFormula result contain Abs in result?
If you look at the first example of FindFormula, why is the result Mathematica produces showing an Abs?
Table[{x, N[x Sin[x]]}, {x, 0, 4, .3}]
FindFormula[%, x]
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1
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1answer
61 views
Restricting a function to prevent divide by zero errors when used in NonlinearModelFit
I have a function which I would like to fit to some data:
$$f(\nu) = \sqrt{\left(\frac{A^{2} (\nu \cos(2 \pi T \nu_{0}) \sin(2 \pi T \nu) - \nu_{0} \cos(2 \pi T \nu) \sin(2 \pi T \nu_{0}))^{2} }{\pi^{...
0
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1answer
62 views
Approximating missing data points in a list using fit models [closed]
Suppose I have the following list:
l={0, 76, 413, 942, 1344, 1651, 1486, 1013, 581, 237, 65, 17, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}
I want to find a fit ...
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0answers
40 views
Get R^2 value between interpolating functions and a list of points
I am looking to compare the degree of accuracy of a theoretical model by comparing my theoretical curve to my experimental data points.
My theoretical curve is an interpolating function generated ...
0
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0answers
68 views
How to fit a spline (not interpolate) through points in 3D?
I have coordinates of points in 3D and want to fit a spline through these points. I found a least square approach for 2D case:
https://demonstrations.wolfram.com/...
2
votes
1answer
73 views
NonlinearModelFit won't fit to gaussian data
The form I'm using should be correct because when I input my initial guesses it plots a shape similar to my data. When I use NonlinearModelFit, the fit is not correct at all and is almost flat, then ...
1
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0answers
44 views
FindFormula: can I change the standard TargetFunctions?
FindFormula seems to have a limited number of TargetFunctions:
Possible functions for TargetFunctions are Plus, Times, Power, Sin,
Cos, Tan, Cot, Log, Sqrt, Csc, Sec, Abs, and Exp.
Is it ...
3
votes
3answers
147 views
How to fit spline through points in $ \mathbb{R}^3$?
I have coordinates of points that represent a curve (for example, helix or centerline of moebius strip) in $ \mathbb{R^3}$. I want to fit a Bspline through these points. How to do this in Mathematica? ...
3
votes
3answers
214 views
Linear fitting without intercept
I want to fit the following model:
$y_t=\beta x_t+\epsilon_t$
For that, I've tried the following
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1
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1answer
44 views
How to add constraints to “Fitting unknown number of Gaussians to data”?
This question of how to fit a sum Gaussians, where the number of Gaussians is to be determined, to data is answered nicely already by
Fittting data with combination of an unknown number of Gaussians,
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0
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0answers
45 views
A curve fitting by two Lorentz function
I am trying to fit my curve by two Lorentzian functions but i could not fit it properly, i found a lot of examples about Lorentzian fitting but none of this work with my data. Here is my code what i ...
0
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1answer
43 views
How to find the Maximal Absolute Error?
I found this fit but I do not understand how to find the maximal absolute error nor do I understand what it is really. I do not see what it is I would compare, would it be ...
0
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2answers
52 views
What are equations on mathematica and differences between these errors? [closed]
These are the three errors I was given. I so far wrote the code which was computing the polynomial interpolation but now I am asked to find those three norms:
norm error
mean norm error
maximal ...
1
vote
2answers
83 views
How to fit different parts of a log-log plot
I have data of a function that goes like $f(x)\propto x ^\alpha $ for a certain range of $x$ and like $f(x)\propto x^\beta$ for another one. It is common in the literature to make a log log plot and ...
