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In a Simple linearsxx regression model, I have only Sxy and Syy data with me. How shall I derive Sxx, linking Sxy and Syy based on first principles? I know the formulas separately. I want to find Sxx, given only Sxy and Syy.

There are many different ways to look at degrees of freedom. I wanted to provide a rigorous answer that starts from a concrete definition of degrees of freedom for a statistical estimator as this may be useful/satisfying to some readers:

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sxx|Find Sxx, Sxy, Syy, B1, B0, SST, SSR, SSE, R^2, R, Se for the。

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