Shape of rate curves (on left) and temperature threshold curves (on right) categorized by their projection value vX=〈X,β^〉. The groups are constructed as a function of the quantile of vX (q(vX)): q(vX) ∈ [0, .25] (dark blue line), q(vX) ∈ (0.25, 0.50] (blue line), q(vX) ∈ (0.50, 0.75] (red line) and q(vX) ∈ (0.75, 1] (dark red line).