How to read the convergence rate from a plot?

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Bibigul le 3 Avr 2017

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https://fr.mathworks.com/matlabcentral/answers/333391-how-to-read-the-convergence-rate-from-a-plot

Hello, I have a convergence plot and i know that how to check the convergence mathematically and how to plot it. but if i have a plot only and i want to guess the convergence rate then what is the method for that? consider the following plots: In plot 1 i have inserted slop and it is clear that what is rate of convergence. Let we have plot 2 then how to find convergence rate by reading graph only?

Thanks in advance

Bibigul