Discuss how the coefficient of determination and the coefficient of correlation are related and how they are used in regression analysis. Be sure to provide examples to illustrate your understanding of these concepts.

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Discuss how the coefficient of determination and the coefficient of correlation are related and how they are used in regression analysis. Be sure to provide examples to illustrate your understanding of these concepts. 

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The intensity as well as direction of a linear connection between two variables (x and y) is indeed calculated by the coefficient of correlation (r), which may range from -1 to 1.

Coefficient of determination (r2) = Coefficient of Correlation*Coefficient of Correlation. It gives the percentage variance in y that can be understood by all of the x variables taken together.

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