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ATARMAxxing · SACE General Mathematics revision notes

Residual plots and choosing between linear and exponential models

3.1 Bivariate statistics
Topic 3 · Topic 3: Statistical models

What this note covers

  1. The residual: definition, sign and units
  2. Calculating residuals by hand
  3. Constructing and scaling a residual plot
  4. Reading a residual plot: the decision rule
  5. Why r² alone cannot make this decision
  6. Making the switch: from a curved residual plot to an exponential model
  7. Worked example: residuals decide the model
  8. How this is examined in the SACE paper — and what separates a top answer

8 sections · 12 key terms & formulas · 6 common mistakes

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