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DylsexicChciken

Coefficient of determination and correlation coefficient

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For the topic of linear regression, my book says that the (coefficient of determination) = (correlation coefficient squared). But it doesn't explain why. So why is on equal to the square of the other when their formulas look completely different?

Edited by DylsexicChciken

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If you substitute the equation of the linear regression line into the defining formula for the coefficient of determination and play with the algebra for about a page you arrive at the definition formula for the coefficient of correlation.

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