Insightforge | AI & Data Science on Instagram: "In three dimensions, linear regression can be visualized as a plane that best fits the data. When we move into higher dimensions, this idea extends to an n-dimensional hyperplane that represents the model’s predictions. Training this model relies on calculus and linear algebra, along with a way to measure how well the hyperplane matches the data. This measurement is the loss function, most commonly the mean squared error (MSE) or similar variants.

rayon on Instagram: "Regression to the mean is a statistical phenomenon where extreme observations tend to be followed by more typical ones purely due to randomness. It isn’t a mystical force pulling values back to “normal,” but a mathematical consequence of imperfect correlation. Whenever two variables are related but not perfectly—like a student’s performance from one exam to the next, or an athlete’s performance across games—extreme outcomes occur partly because of stable skill factors and pa