# Questions tagged [nonlinear-regression]

Use this tag only for regression models in which the response is a nonlinear function of the parameters. Do not use this tag for nonlinear data transformation.

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### Truncated singular value decomposition

Is it possible to get a "truncated SVD"-regularized solution for L1 norm min errors problem? $$min\|Ax-b\|_{1}$$ In L2 universe results are derived easily analytically. I want to formulate a problem ...
787 views

### Question about prediction bands for non-linear regression computation?

I am interested in computing prediction bands for a non-linear regression (log-logistic function with 3 parameters). I have read the Prism help page: The calculation of the confidence and ...
315 views

### Regression methods

What is the fundamental difference between: Linear regression Non linear regression Parametric regression, and Non-parametric regression? When should we use each type? How do we know what ...
1k views

### Standard error of the residuals for a non-linear model

Hi I am new to R and statistics and used to linear models. Can you please explain the output? I used it to make a growth curve. ...
33k views

### When fitting a curve, how do I calculate the 95% confidence interval for my fitted parameters?

I am fitting curves to my data to extract one parameter. However, I am unsure what the certainty of that parameter is and how I would calculate / express its $95$% confidence interval. Say for a ...
16k views

### Distinction between linear and nonlinear model

I have read some explanations about the properties of linear vs nonlinear models, but still I am sometimes not sure if a model on hand is a linear or a nonlinear one. For example, is the following ...
4k views

### Is least squares the standard method to fit a 3 parameters Gaussian function to some x and y data?

A participant in one experiment needs to decide whether a flash and a sound are simultaneous or not for many possible asynchronies between the flash and the sound (x in seconds). For each asynchrony, ...
4k views

### Linear regression best polynomial (or better approach to use)?

Any ideas on other polynomials I could successfully use for applying regression? My goal is a solution that has fit error strictly based on the noise. Is this possible since it is a bell-like curve? ...
366 views

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### Non-linear mixed effects regression in R

Surprisingly, I was unable to find an answer to the following question using Google: I have some biological data from several individuals that show a roughly sigmoid growth behaviour in time. Thus, I ...
2k views

### Interpretation of weights in non-linear least squares regression

I am conducting a non-linear least squares regression fit using the python scipy.optimize.curve_fit function, and am trying to better understand the weights that go into this method. I have a ...
2k views

### Why does the scaling exponent of a power law fit change so radically when the data is scaled by a constant?

Consider the following data and the code ...
92 views

### Different powers of coefficient - solvable within GLM?

I have model where coefficient is of different powers: $$\mbox{log} ( \mu_{i} ) = \alpha + \beta x_1 + \beta^2x_2 + \beta^3x_3 + ... + \beta^nx_n \\ \\ N_{i} \sim \mbox{Poiss} ( \mu_{i} )$$ $N_i$ ...
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### Do statisticians assume one can't over-water a plant, or am I just using the wrong search terms for curvilinear regression?

Almost everything I read about linear regression and GLM boils down to this: $y = f(x,\beta)$ where $f(x,\beta)$ is a non-increasing or non-decreasing function of $x$ and $\beta$ is the parameter you ...
231 views

### Nonparametric/nonlinear regression

I am looking for a survey/book on some state-of-the-art non-parametric (or nonlinear regression) methods, preferably with an inclination towards sequential data. Till date I have used ...
2k views

### Solving intercept / equivalence point / crossing point of where two Weibull regressions meet

I'm looking to solve the point where 2 opposite Weibull functions meet. I'm using the drc package, with a type 2 Weibull having 2 parameters in R. I've fit both ...
90 views

### Interpreting Regression Results: Combined Data Points

I'm new to statistics, so I'm having some trouble interpreting some results. Let's say I was interested in creating a daily wind speed profile for the arctic during a 30 day period. I have 5 ...
2k views

### How to model multivariate time series

I have a set of $n=1000$ samples of 4 dimensions (multivariate) where each measurement obtained from GPS tracking data is taken at a time interval representing spatial coordinates $(x,y)$, velocity. ...
501 views

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### Formula for non-linear regression in R

I want to know if it is possible for a library in R to evaluate the association of independent variables and create a formula? I am trying to come up with a model to predict power consumption of a ...