In this article we discuss about the topic under Mathematical Statistics such as Correlation and regression. Statistics may be used to study the vast amounts of data we have about these systems and look for patterns. Mathematical and Statistical models can be used to understand and make predictions about such diverse things as glacial movement, seismic events and tsunamis. Mathematical Statistics are used in Actuarial Science, Astrostatistics, Biostatistics, Business analytics, Chemo metrics, Demography, Econometrics, and Geostatistics, Machine learning, Population ecology, etc. The goal of a correlation analysis is to see whether two measurement variables co vary, and to quantify the strength of the relationship between the variables, whereas regression expresses the relationship in the form of an equation. Correlation and linear regression are the most commonly used techniques for investigating and relationship between two quantitative variables.