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Statistics

β Regression

Predicting continuous outcomes — from the simplest straight line to regularized models that generalize.

5 concepts— start at the top and work your way down
  1. 1

    Correlation

    A number between −1 and 1 measuring the strength and direction of a linear relationship between two variables.

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  2. 2

    Linear Regression

    Fitting a straight line to data to model and predict the relationship between two variables.

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  3. 3

    Logistic Regression

    Modelling the probability of a binary outcome using the sigmoid function — fitting by maximum likelihood or gradient descent.

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  4. 4

    Regularization

    Adding a penalty on model complexity to prevent overfitting — L1 (Lasso) induces sparsity, L2 (Ridge) shrinks coefficients smoothly.

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  5. 5

    Generalized Linear Models

    A unifying framework — link function plus exponential-family distribution — that includes linear, logistic, and Poisson regression as special cases.

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