another way of thinking about the n-2 df is that it's because we use 2 means to estimate the slope coefficient (the mean of Y and X) df from Wikipedia: "...In general, the degrees of freedom of …

Oct 27, 2015 · What is the meaning of the symbols $S_{xx}$ and $S_{xy}$ in simple linear regression? I know the formula but what is the meaning of those symbols?

Dec 12, 2021 · Title. I'd like to understand the intuition behind how regression coefficients are calculated, and why $$\frac {cov (x,y)} {var (x)}$$ gives a regression coefficient for dependent …

Apr 27, 2022 · Correct formula for MSE Ask Question Asked 3 years, 6 months ago Modified 2 years ago

Nov 30, 2022 · However, there is a solid linear relationship between the two, hence the high correlation. As for what equation you should use to calculate your quantity of interest, that …

Jul 5, 2011 · This wiki page Simple linear regression has formulas to calculate $\\alpha$ and $\\beta$. Could anyone tell me how to derive the formulas in weighted case?

For my own understanding, I am interested in manually replicating the calculation of the standard errors of estimated coefficients as, for example, come with the output of the lm() function in R, but

To explain this fact for a general regression model, you need to understand a little linear algebra. Suppose you would like to estimate the coefficients $ (\beta_0, \beta_1, ...,\beta_k)$ in a …

Yes, your formula from matrix notation is correct. Looking at the formula in question, $1-\frac1 {n}\,=\,\frac {n-1} {n}$ so it rather looks as if you might used a sample standard deviation …

Apr 14, 2012 · How was the formula for Ordinary Least Squares Linear Regression arrived at? Note I am not only looking for the proof, but also the derivation. Where did the formula come …