Linear regression

A response's conditional mean is modeled as linear in coefficients with assumptions about residuals.

Different ways to understand it

Regression Analysis: An Easy and Clear Beginner’s Guide
numiqo · English · Explanation
Connection evidence
Reviewed English material v1: card "Simple Linear Regression Definition" at 3:52 — Simple linear regression is a specific predictive model that utilizes exactly one independent variable to forecast a dependent variable. Visually, it is represented by a single input factor pointing to a continuous numerical outcome.
Linear Regression in 3 Minutes
3-Minute Data Science · English · Explanation
Connection evidence
Reviewed English material v1: card "Linear regression as line fitting" at 0:16 — Linear regression is introduced as a statistical technique for modeling the relationship between an output variable and one or more input variables. The visual explanation reduces this to fitting a straight line through scattered data points so predictions can be made on unknown data, assuming a linear relationship.

Analysis of variance
ANOVA partitions variation to test mean differences under model assumptions.
Bootstrap
Resampling observed data estimates sampling variability under appropriate conditions.
Likelihood
A likelihood treats observed data as fixed and parameters as varying.
Logistic regression
A logistic link models binary-event probability through a linear predictor.
Autocorrelation
Autocorrelation measures dependence between a process and its lagged values.

LEARNING MAP

Move from uncertain events to random variables, probability models and evidence-based statistical inference.