How can I fit a curve of the type Y = aX^b using R?

Question

How can I fit a curve of the type $$Y = aX^b$$ using R?

I'm able to fit a linear model (Y = aX + b) using

fit <- lm(y~x)

but my data requires Y = aX^b

Use `nls` as in `nls(Y~a*X^b, start = list(a=0.001, b=0.5), data=your_data)` — Jilber Urbina, Dec 12 '22 at 15:14

score 0 · Accepted Answer · answered Dec 12 '22 at 15:14

nls(y ~ a*x^b, start = list(a = 1, b = 1), data = your_data), or lm(log(y) ~ log(x), data = your_data) (these are different models but either might serve you; the parameters of the second model are log(a) and b). You might need to adjust the starting values to work with your data.

How can I fit a curve of the type Y = aX^b using R?

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