Definition
An Empirical Model is a mathematical relationship derived entirely from observed data rather than from theoretical physical laws.
Why It Matters
Empirical models are the bridge between raw observations and predictive power, allowing us to find “meaning” in scattered data when underlying physical laws are unknown.
Core Concepts
- Correlation Coefficient (): A value between -1 and 1 that measures the strength and direction of a linear relationship between two variables.
- How to read: “The correlation coefficient r is between negative one and positive one.”
- Meaning / when to use: Near means strong linear trend (positive or negative); near 0 means little linear association—quick sanity check before trusting a regression.