  Monitoring chromospheric and photospheric indexes of magnetic activity can
provide valuable information, especially the interaction between different
parts of the atmosphere and their response to magnetic fields. We extract
chromospheric indexes, S and Rhk+, for 59,816 stars from LAMOST spectra in the
LAMOST-Kepler program, and photospheric index, Reff, for 5575 stars from Kepler
light curves. The log Reff shows positive correlation with log Rhk+. We
estimate the power-law indexes between Reff and Rhk+ for F-, G-, and K-type
stars, respectively. We also confirm the dependence of both chromospheric and
photospheric activity on stellar rotation. Ca II H and K emissions and
photospheric variations generally decrease with increasing rotation periods for
stars with rotation periods exceeding a few days. The power-law indexes in
exponential decay regimes show different characteristics in the two
activity-rotation relations. The updated largest sample including the activity
proxies and reported rotation periods provides more information to understand
the magnetic activity for cool stars.
