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What equation should I fit to this plot? (similar to double exponential?)

I have data that looks somewhat like the following plot (and dataset). It’s been suggested that a double exponential (e.g. k (exp(−αt) − exp(−βt))) might fit it, but I can seem to get it to fit (using...

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Comparing growth estimates of multigroup growth curve model

I have fitted a growth curve model to describe the trajectories of a variable in 4 groups across three assessment points. I am interested in doing some pair-wise comparisons of the slopes between some...

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R-squared as criterion to choose between linear and non-linear regression

I am working in some regression models to forecast opinions based on general demographic characteristics, and I’m not sure how to choose between linear regression and curve estimation (I’m using SPSS...

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Fitting known equation to data

I have measured growth rates over a range of temperatures (temperature response curve) and would like to fit an already established equation/model to it. I’m very new to R and have trouble coding it...

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Curve fitting and analytical solutions vs kernel density estimation and sampling

I have some data, and I want to find the expected value of the maximum of $n$ samples of this data. What of the following methods would typically get me the best results? Visually inspect the...

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Averaging Cumulative Distribution Function

I have several (x,y) datasets which form various CDF curves. These are generated by cross-validating models built with different parameters. For example: Aa = [0, 0.1 1, 0.2, 2, 0.3, ... xn, yn] Ab =...

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What does negative R-squared mean?

Let’s say I have some data, and then I fit the data with a model (a non-linear regression). Then I calculate the R-squared ($R^2$). When R-squared is negative, what does that mean? Does that mean my...

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How to fit a curve for a histogram [closed]

I am trying to fit a curve (gaussian) for my distribution represented here with an histogram, like the red curve represented in the attached shema. X = rchisq(1000, df = 5) hist(X) Thank you

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Deciding between linear and non-linear fits [on hold]

I’m basically trying to calculate the pollution level of water bodies. I have a data set (~3,500 points) of pH values of a particular lake from 2005-15. As pH itself is a logarithmic scale but there’s...

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Justification by enhancement of $R^2$

Is (great) enhancement of $R^2$ sufficient to justify the use of another model ? other desciptives variables ?

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