Mathematics: Applications and Interpretation · Topic 4: Statistics and probability

AHL4.13 — Non-linear regression and $R^2$

Mathematics: Applications and Interpretation · SL / HL · syllabus-mapped notes

1. AIAHL4.13.1

   Least-squares regression with non-linear models

   Fitting quadratic, cubic, exponential, power and sine models on the GDC.

2. AIAHL4.13.2

   Residuals and the coefficient of determination

   $\mathrm{SS_{res}}$ as a measure of fit and $R^2$ as the proportion of variability explained.

3. AIAHL4.13.3

   Interpreting and comparing models

   Limitations of $R^2$ and its link to Pearson's $r$ for linear models.