How to extract linear fits from a semilog plot?

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I have a semilog plot of current vs Voltage through a device. I want to extract multiple linear fits in different regions as shown in the black dashed lines on the plot below.
I have the x and y data and have tried the curve fitting app but have trouble fitting multiple lines in these specific regions. Is there somewhere I should be looking for guidance on this or is anyone aware of how to do this? I plan to do this quite often and would like to establish a good system of fitting.
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Suvansh Arora
Suvansh Arora on 7 Nov 2022
In order to better assist you, please attach the dataset you are using.

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