Table 2 Statistical validation for correlation.

From: Machine learning-driven nonlinear analysis of inclusion effects in aluminium alloys

Metric

Value

Interpretation

0.82

Strong nonlinear correlation

RMSE

12 MPa

Model prediction error ± 12 MPa

Curve Slope

−8 MPa/µm (0–5 μm), −4 MPa/µm (5–15 μm)

Nonlinear decay rate

  1. In this section, a comparison is made to theoretical models. The trend matches the √(a) scaling law from fracture mechanics31:.