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Symmetry of Best Fit Straight Line on Inverting Axes

I have a set of data that I have created a scatter plot from. On top of this I overlay the best fit straight line. Everything was fine until I realised that because of the nature of the data, it made more conceptual sense if the y-axis data was plotted on the x-axis. So I inverted the axes

Symmetry of straight line fit on inverting axes

I have a set of data that I have created a scatter plot from
On top of this I overlay the best fit straight line
Everything was fine until I realised that because of the nature of the data, it made more conceptual sense if the y-axis data was plotted on the x-axis. So I inverted them