MSE — Residual Lollipop + RMSE Square

Controls

Slope a (ŷ = a·x + b) 0.80

Intercept b 0.50

Advanced

N (points) 30

Noise σ 0.35

Learning rate η 0.040

MSE = (1/N) Σ (y − ŷ)²

Current MSE = —

Dots (N) = —

Blue mini-squares show each (y − ŷ)² by area; the big square shows RMSE as side length.

Hover: y=—, ŷ=—, r=—, r²=—

Residual Lollipop + RMSE Square

data point

fit line (mini)

squared error area

Drag sliders or press “Play (GD)”. Hover the residual panel to see the nearest sample’s \( y, \hat y, r, r^2 \).