Comparing industrailized countries vs. less-developed

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Using a residual plot can be relevant when comparing industrialized countries to less-developed countries, as it helps assess the fit of a regression model. The thesis focuses on the effects of population, GDP, GDP per capita, and unemployment rates on the economies of both types of countries. Multiple regression analysis is suggested as a suitable statistical method for this comparison. This approach allows for the examination of relationships between multiple variables simultaneously. Overall, employing these statistical tools can enhance the understanding of economic disparities between industrialized and less-developed nations.
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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.
 
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