sxx|Linear regression: degrees of freedom of SST, SSR, and RSS,sans skydiving

In a Simple linear 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 formusxxlas separately. I want to find Sxx, given only Sxy and Syy.

Answer to: Find Sxx, Sxy, Syy, B1, B0, SST, SSR, SSE, R^2, R, Se for the following table x y 2 3 4 5 3 7 By signing up, youll get thousands of...

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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