Correlation between L_s, E_s and L(t), L_s, and E_s. The solid lines are the best linear fits, which are log L_s = (1.64 ± 0.09)log L(t)−(26.39 ± 3.55), log E_s = −(0.78 ± 0.11)log L(t) + (24.46 ± 3.99), and log L_s = −(1.15 ± 0.11)log E_s + (30.47 ± 0.64); the correlation coefficients r = 0.98, 0.88, and 0.93; and the probability of the null hypothesis P_null = 5.59 × 10^-12,1.70 × 10^-6, and 2.27 × 10^-8 (from left to right). The dashed lines are the 2σ confidence bands for the sample.