Kepler’s law: fit, residuals and uncertainty
Use the eight planets to test a power law, then distinguish a close numerical fit from an independent experimental test.
Before you start: Logarithms, straight-line fitting and a spreadsheet or Python notebook.
- Fit and interpret a power law using dimensionless ratios.
- Diagnose residuals and shared assumptions in derived data.
- State what uncertainty information is missing before drawing a conclusion.
Assignment and assessment
Submit the source table, one labelled log plot, a residual plot, and a 200-word interpretation separating model assumptions, numerical agreement and measurement uncertainty.
- Correct units, transformations and labelled plots.
- A reproducible source table and stated fitting convention.
- An explanation of correlated or derived quantities and why residuals alone do not establish significance.