What is the correct way to use linear regression with original dataset if it was trained on the normalized one?

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My task was to create a linear regression on the z-score normalized data set, where

X_changed=(X−μ)/σ

So this is my result result

Then I tried to use normalized weights on the original dataset but faced some difficulties:

broken

So my question is how can this be fixed? My closest attempt was to use such scaling: my scaling

Don't know is this valid enough



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