  The correlation between the jet power and accretion disk luminosity is
investigated and analyzed with our model for 7 samples of low luminosity active
galactic nuclei (LLAGNs). The main results are: (1) the power-law correlation
index ($P_{jet} \propto L_{disk}^{\mu}$) typically ranges $\mu=0.4-0.7$ for the
LLAGN samples, and there is a hint of steep index for the LLAGN sample which
hosted by a high fraction of elliptical galaxies, and there are no significant
correlation between the $\mu$ and the LLAGN types (Seyfert, LINER); (2) for
$\mu \approx$1, as noted in Liu et al., the accretion disk dominates the jet
power and the black hole (BH) spin is not important, for the LLAGN samples
studied in this paper we find that the $\mu$ is significantly less than unity,
implying that BH spin may play a significant role in the jet power of LLAGNs;
(3) the BH spin-jet power is negatively correlated with the BH mass in our
model, which means a high spin-jet efficiency in the `low' BH-mass LLAGNs; (4)
an anti-correlation between radio loudness and disk luminosity is found, which
is apparently due to the flatter power-law index in the jet-disk correlation of
the LLAGNs, and the radio loudness can be higher in the LLAGNs than in luminous
AGNs/quasars when the BH spin-jet power is comparable to or dominate over the
accretion-jet power in the LLAGNs. The high radio-core dominance of the LLAGNs
is also discussed.
