Life on earth is protected from the high energy particles and radiation from the sun by the Earth's magnetic field. Nearly after 44 hours of any mass ejection from the solar corona, the Earth's magnetic field gets momentarily disturbed causing hazardous geomagnetic storm. This observed association has been verified in this work by unearthing the possible existence of any statistical relationship between the geomagnetic storm and Coronal Mass Ejection (CME) using signal processing tools. This may help to assess the post-CME intensity of destructive geomagnetic storm. Multivariate Singular Spectrum Analysis (MSSA) based on Singular Value Decomposition (SVD) has been used on the time series signals of CME linear speed and geomagnetic storm index (Kp-index). Processing of these two signals reveal that CME is not only a causal factor to induce the Geomagnetic storm but its speed also has a supportive effect to anticipate the intensity of the geomagnetic storm.