  We construct a sample of 70 clusters using data from XMM-Newton and Planck to
investigate the $Y_{\rm SZ,Planck}-Y_{\rm SZ, XMM}$ scaling relation and the
cool-core influences on the relation. $Y_{\rm SZ,XMM}$ is calculated by
accurate de-projected temperature and electron number density profiles derived
from XMM-Newton. $Y_{\rm SZ,Planck}$ is the latest Planck data restricted to
our precise X-ray size $\theta_{\rm 500}$. To study the cool-core influences
on$Y_{\rm SZ,Planck}-Y_{\rm SZ, XMM}$ scaling relation, we apply two criteria,
limits of central cooling time and classic mass deposition rate, to distinguish
cool-core clusters (CCCs) from non-cool-core clusters (NCCCs). We also use
$Y_{\rm SZ,Planck}$ from other papers, which are derived from different
methods, to confirm our results.
  The intercept and slope of the$Y_{\rm SZ,Planck}-Y_{\rm SZ, XMM}$ scaling
relation are $A=-0.86 \pm 0.30$, $B=0.83 \pm 0.06$. The intrinsic scatter is
$\sigma_{\rm ins}= 0.14 \pm 0.03$. The ratio of \mbox{$Y_{\rm SZ,Planck}/Y_{\rm
SZ, XMM}$} is $1.03 \pm 0.05$, which is perfectly agreed with unity.
Discrepancies of $Y_{\rm SZ,Planck}-Y_{\rm SZ, XMM}$ scaling relation between
CCCs and NCCCs are found in observation. They are independent of cool-core
classification criteria and $Y_{\rm SZ,Planck}$ calculation methods, although
discrepancies are more significant under the classification criteria of classic
mass deposition rate. The intrinsic scatter of CCCs (0.04) is quite small
compared to that of NCCCs (0.27). The ratio of $Y_{\rm SZ,Planck}/Y_{\rm SZ,
XMM}$ for CCCs is $0.89 \pm 0.05$, suggesting that CCCs' $Y_{\rm SZ,XMM}$ may
overestimate SZ signal. By contrast, the ratio of $Y_{\rm SZ,Planck}/Y_{\rm SZ,
XMM}$ for NCCCs is $1.14 \pm 0.12$, which indicates that NCCCs' $Y_{\rm
SZ,XMM}$ may underestimate SZ signal.
