  Understanding diffusion in liquids from properties of static structure is a
long standing problem in condensed matter theory. Here we report an atomistic
study of excess entropy and diffusion coefficient in a strongly coupled Yukawa
liquid. We observe that the pair excess entropy $s_2$ scales with temperature
as $-3.285 \;(T_m / T)^{0.665}$ and contributes to about $90\%$ of the total
excess entropy close to the freezing transition $T_m$. We further report that
at low temperatures where the diffusive transport is mediated by cage
relaxation, the diffusion coefficient when expressed in natural units of the
Enskog collision frequency and the effective hard sphere diameter, obeys the
scaling law $0.04\; e^{s_2}$ and deviates from it at high enough temperatures
where cages cannot form. The scaling laws reported here may also apply to
strongly coupled dusty plasmas and charged colloids.
