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I have some data $(x_{1},y_{1}), (x_{2},y_{2}), ..., (x_{n},y_{n})$, where both $x$ and $y$ represent real numbers (float). I want use Scikit-learns LinearRegression model to fit a model of the form:

$y_{i} = b_{0} + b_{1}x_i + e_{i} $

Typically, I know that OLS is used to compute the parameters $b_{0}, b_{1}$. However, in my case, I happen to know that $b_{1}=c$ so I only want to fit $b_{0}$. Is there a way to force scikit-learn to use $b_{1}=c$ as the slope ratio and only estimate the intecept $b_0$, or is a custom class necessary?

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You can just compute: $\hat{b}_0 = \operatorname{mean}(y-cx)$

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  • $\begingroup$ just for understanding, what is meant by "fixed" slope and parameter here ? $\endgroup$
    – Subhash C. Davar
    Commented Mar 6, 2021 at 23:07

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