I have some data that I would like to fit to a known linear equation of fixed slope but variable intercept. Say for the equation y=mx+c, I have experimentally obtained (x,y) data and know the value of m from theoretical models. I need the best value of c for my data set. Is there a way to do this other than brute force it by calculating c for each (x,y) and then averaging the values? Is there a statistically more accurate way of calculating the best fit? Thank you!
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