Residual plot for comparing industrialized and less-developed countries

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should i use the residual plot in comparing the industrailized countries vs. less-developed country? i mean, is it relevant if i use that?

coz here is my thesis...What are the effects of population, GDP, GDP per capita and unemployment rate in the economy of industrialized country and less-developed country?

and anyone could suggest a good statistical or probability method that i can apply in this topic.