In Simple Linear Regression $\hat \beta_1$ and $\bar Y$ are independent
12004
Intuitive reason why jointly normal and uncorrelated imply independence
72998
Is regression line (for a simple "Y given X" regression, no interaction etc) always unique?
3040
Independence of points from same underlying function
23868
Normality assumption in linear regression
88431
Jointly Gaussian uncorrelated random variables are independent
155661
Linear regression with fixed point
16244
Regression when each point has its own uncertainty in both $x$ and $y$
6793
A linearly independent set about approximate units
95084
What is the expected value of $\min\{|X|,|Y|\}/\max\{|X|,|Y|\}$ assuming $X$ and $Y$ are independent?
79504
Analytical solution of a simple regression with fixed intercept
52136
Linear regression with Laplace errors
64395
If $v_1,...,v_r$ are eigenvectors that correspond to distinct eigenvalues, then they are linearly independent.
49896
A criterion for independence based on Characteristic function
52796
Converting the beta coefficient from matrix to scalar notation in OLS regression
31133
Functions of Independent Random Variables
68269
Regression Proof that the point of averages (x,y) lies on the estimated regression line
134109
Why does the degree of freedom of SSR equals 1 in simple linear regression