  Our analysis on the two magnitude-limited samples of LINERs suggests a
correlation between $L_{\FIR}/L_{\B}$ or f(25\micron)/f(60\micron), and
Hubble-type index at $>$99.99% significance level. As $L_{\FIR}/L_{\B}$ and
f(25\micron)/f(60\micron) are considered as the indicators of star-formation
activity and AGN activity, respectively, our result suggests that LINERs with
higher AGN activity may have a lower star-formation contribution. The ones with
highest AGN activity and lowest star-formation contributions are ellipticals.
All well-studied LINER 1s belong to this group. On the other hand, LINERs with
higher star-formation activity present lower AGN contributions. We find all
well-studied LINER 2s in this parameter space. Most of LINERs having inner ring
structures belong to this group. Statistics with other indicators of
star-formation or AGN activity (nulear mass-to-light ratio at H band, and the
ratio of X-ray-to-UV power) provide further evidence for such a trend. We have
seen that along with the evolution of galaxies from late-type spirals to
early-type ones, and up to ellipticals, the intensity of AGN activity increases
with decreasing star-formation contributions, The above analyses may suggest a
possible connection between the host galaxies and nuclear activities, and it
might also indicate a possible evolutionary connection between AGN and
starburst in LINERs.
