Proof that a slope coefficient can be given as the covariance of y and residuals divided by the variance of residuals
52796
Converting the beta coefficient from matrix to scalar notation in OLS regression
2898
What's the MSE of $\hat{Y}$ in ordinary least squares using bias-variance decomposition?
138325
Equivalence of two formulas for variance and covariance
20835
Residuals correlated positively with response variable strongly in linear regression
19034
Covariance of products of dependent random variables
141134
How to calculate weighted covariance?
20900
Regression without intercept: deriving $\hat{\beta}_1$ in least squares (no matrices)
69082
Show that $\frac{X}{X+Y}\sim Beta(\alpha,\beta)$
38224
Bias-Variance decomposition derivation
6293
Is there a way to use the covariance matrix to find coefficients for multiple regression?
100916
Finding $\mathrm{Cov}(X,Y)$ and $E(X\mid Y=y)$ given the joint density of $(X,Y)$
39144
How does the correlation coefficient differ from regression slope?
110595
Linear regression with slope constraint
77270
Find the correlation coefficient $\rho_g$ of $(G(x), H(y))$
114980
slope and intercept of linear regression
46865
Proof of linearity for expectation given random variables are dependent
61051
Covariance term in simple linear regression