# Tagged Questions

Questions on the use of Mathematica to construct models for approximating empirical data.

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### How to force a Range on Fit?

I have 1001 points between {x,-5, 5}. I wanted to fit a polynomial over the data but when i try: Fit[Flatten[data], {0, x, x^2, x^4, x^5, x^6}, x] ... the range ...
20 views

### How to fit small squares in the big one? [migrated]

Suppose, I have a square S with height H and width W. Also I have another square ...
188 views

### How to measure accuracy of prediction distribution?

I have been trying to come op with a way to test if my dataset follows a Poisson distribution. Normally one would use the DistributionFitTest function, but here is ...
234 views

### Mathematica Interpolation or approximation

I have lists of points X and Y. {1212,1216,1217,1219...}, {1,2,3,4,5,6...} I combine ...
55 views

### Looking for a convenient way to replace a large data sample with an analytic approximation

Suppose that data is a large data sample, and that Histogram[data] produces a very smooth-looking distribution. Since ...
123 views

### How can I fit cyclic experimental curve with a couple of differential equations?

I have an experimental cyclic curve which looks like this: ...
62 views

### NonlinearModelFit memory problem

I have a problem while trying to make a nonlinear fit of the following data: qn = NSolve[Tan[q] == 3*q/(3 + 1870715*q^2) && 0 < q <= 65, q] ...
49 views

### Find absolute minimum with NMinimize method

Hello Mathematica Bloggers. I'm facing up a problem with NMinimize[] in Mathematica. I need to find the best fit for some ...
592 views

### Fit a function with an unusual side condition

I have a set of measurement data and I try to fit there a function (a Exp[b x] + c Exp[d x] - o). I have two problems: The fit function does not converge nor ...
44 views

### PearsonChiSquareTest for count/frequency data?

I read with interest a previous question on the PearsonChiSquareTest from a few years ago, and one answer was very helpful: Performing a chi-square goodness of fit ...
57 views

### Nonlinear fitting of a Gaussian beam model

I am having some troubles with the NonlinearModelFit function. However hard I try, I cannot get a nice fit curve for the data points. I know the parameter "a" is about 15*10^-6 but even if I plug in ...
32 views

### Is it possible to get the error estimates of predicted values computed by FindMinimum using the Levenberg Marquardt method?

I use the LevenbergMarquardt method of the FindMinimum function to minimize a residual function (mathematical-optimization). This residual function is computed from experimental data and the solution ...
33 views

### How we get the ANOVA and Parameter Tables in Mathematica of the Ridge regression like the linear model

Dear how we find the ANOVA and Parameter Tables of the ridge regression like the linear model on randomly generated independent and dependent variables.
153 views

### Use NMinimize instead of FindFit for constrained search (of coefficients)

(My problem is more complex, but let us formulate it through this example) I am trying to find the best polynomial approximation to the following function ...
99 views

### How to fit two datasets with common fit parameters?

I have two data sets which go: ...
42 views

### Independent test of residuals, absolute member equal zero

Does Mathematica offer any test for confirm independence of residuals? except DurbinWatsonD. And I would like to ask how to make some test in regress function which tests absolute member equal zero. I ...
303 views

### NonlinearModelFit: fit a vector-valued function to a data vector

I have a vector of data points: data = 10 Sin[#/10] + RandomVariate@NormalDistribution[] & /@ Range[200]; And I have model that provides the complete ...
169 views

### Linear fit with conditional noise distribution

I need to fit a linear model of the form $y_i = a · x_i + b + e_i$. The $e_i$ are independent noise from a distribution that depends on $x$ as well as on global parameters of the data; however, the ...
211 views

### Modeling of soccer results using GeneralizedLinearModelFit

I am trying to recreate the regression in "Analysis of sports data by using bivariate Poisson models," which can be found here, ...
265 views

How can I find the simplest curve that gives me a scroll like this? This is where I am at the moment and doing it by hand is becoming more and more cumbersome. First, take a drawing of the scroll ...
76 views

### Finding NonlinearModelFit of multiple data sets with the same parameters and in two dimensions

I have multiple sets of data (between 3 and 6 depending on the cases) dependent of space, time, and some parameters. The data are the response of a harmonic oscillator under a non-trigonometrical ...
40 views

### How to fit a plot with error bar as weight?

I try to fit a line which can fit through the points considering the error weight of each coordinate. Is it possible to do in Mathematica? I can only find Fit function which did not do what I really ...
52 views

### NonlinearModelFit with constraints error estimate integrity

I use NonlinearModelFit with additional constraints on the fitting parameteres. When I use "ParameterErrors" or ...
790 views

### What is behind experimental function: FindFormula?

In version 10.2 there is a new experimental function: FindFormula[]. I suspect that a genetic programming algorithm (symbolic regression) is behind this new ...
111 views

### A case of complicated fitting of multiple datasets

I've stumbled upon a difficulty while trying to do some fitting which may be called sorta complicated. I'll try to introduce my problem step by step. To begin with, I have a number of datasets ...
99 views

### Fitting problem

I have two points stored in data: data = {{0.0166667, 2.86927*10^-12}, {0.0333333, 1.12725*10^-11}}; ...
46 views

### Fitting 6 differential equations to 6 sets of data

I am using the newest Mathematica and I am trying to fit a set of 6 linear differential equations to a set of experimental data for each of the six variables. I am a baby beginner at this and could ...
83 views

### List argument for NonlinearModelFit

If I have a function of list argument (presumably with large number of entries), how can I pass it to NonlinearModelFit? I don't want to pass it by pattern checking ...
84 views

### Find min-max for slope in linear fit

I have a following data which follows a linear model with intercept zero, i.e. $$y = mx$$ ...
88 views

### Sum to Zero Constraint in GeneralizedLinearModelFit

Is there a way to impose a constraint on a generalized linear model fit in Mathematica? In R, when using the glm() function, you can set options(contrasts=c('YY.sum', 'ZZ.sum')). Is there something ...
62 views

### Exact meaning of VarianceEstimatorFunction

After reading the documentation, it's still unclear for me what VarianceEstimatorFunction does when fed with two arguments: ...
42 views

### Finding error in an exponential fit

I'm a beginner with Mathematica and I'm trying to find the error in 'A' from the following fit: -A I0 E^(-Y A) The code I've used to plot the fit is the ...
35 views

### Fitting Data when both Variables Have Uncertainties [duplicate]

Does there exist a method in Mathematica for fitting some function f(x; a, b)=y (with parameters a, b) to data of the form {x, y} when both x and y have different uncertainties? It seems like it would ...
91 views

### How to Find minimum and maximum using FindMaximum[] and FindMinimum[]

this is the data that i use to plot. data_damped_osccilation this is my code so far, however it still give me error ...
60 views

### NonLinearModelFitting constant offset problem

I have written the following code: ...
218 views

### Is there is a decreasing function that fits my data?

Cross-posted in http://tieba.baidu.com/p/4440556337 http://tieba.baidu.com/p/4440547130 I was wondering if there is a function that fits the following data perfectly or properly. There is a ...
99 views

### Standard error of linear fit parameters

I fitted data belonging to a MSD (mean squared displacement of a vibrating micrometer sized particle) by using a linear function: ...
47 views

### Failed to extract parameters by fitting data with ODE

I'm trying to extract 4 parameters by fitting one set of data with an ODE via NonlinearModelFit. I originally thought the process should be straightforward, but later on I found I was totally wrong. ...
250 views

### Why can't FindFit get the proper result in this problem?

Cross-posted in http://tieba.baidu.com/p/4425634583 The mathematica helps me solve one differential equation in numerial method and got the data of the answer,but the taylor series fit is not good in ...
2k views

### How can I compute and plot the 95% confidence bands for a fitted logistic regression model?

I have a set of binary data that I' d like to fit a logistic regression model to and show the 95% confidence band around the fitted function. I can produce the regression model but how do I compute ...
37 views

### NonlinearModelFit for analytical data is giving errors [closed]

"x is lambda, y is alpha, z is the factor of pressure" ...
42 views

### fit multiple dataset with a single ODE to extract parameters

I found my problem very similar to the one discussed in here. But I'm having difficulties to fit multiple dataset (with varied temperatures) to a single ODE. The hurdle for me now is since the rate ...
74 views

### Maximum Likelihood Estimation of Gamma-distribution Scale parameter

I have the following tasks: Generate random sample with given parameters shape = 2, scale = 0.001 and shape = 2, scale = 1/1200 for the right censored sample; Using Maximum Likelihood Method ...
58 views

### FindFit only fitting portions of data

I'm currently trying to fit some complicated data sets and I am having some luck. The higher temperature data works just fine with FindFit. Unfortunately, ...
44 views

### Plotting error bars in both dimensions for straight line model [duplicate]

I want to fit a straight line model of the form $y_i = a+ b\ x_i$ to the list of $(x, y)$ pairs given below. How can I plot the data with error bars in both coordinates? ...
84 views

### Fitting EV charging curve

I would like to fit my set of data (x = time and y = power) as seen below, and obtain function of x describing it as close as possible, in order to manipulate it (applying different SOC, time offsets ...
2k views

### Fit image of mountain to gaussian

I want to detect the edges of an image of a mountain and then fit that to a gaussian. I am unsure about how to only get the mountain edge, rather than every single edge in the image. How do I ...
55 views

### Plotting plane from a matrix or data table

After weeks collecting data I've decided to pass my results through Wolfram Alpha and see what it gets. The results are amazingly useful, specially the plane generated by linear regression. It is ...
71 views

### Putting suitable constraints on the Find family of functions

Can any of the Find group of functions be used to get a good curve-fit for a range of data, if the value of $f(1)$ is known, and the value of \$\lim_{n\rightarrow ...
61 views

### Algorithm used by Fit[]

Does anyone know what algorithm Mathematica's basic Fit[] function uses? Is it proprietary? I'm trying to do some pretty basic, linear, polynomial data fitting ...