The purpose of this paper is to find out how each districts(Gu) of Seoul are related based on the apartment price trends. All the data used in this paper comes from a public data sources, Seoul apartments transaction data provided by ‘Ministry of Land Infrastructure and Transport Korea’ and the apartments properties from NAVER’s real estate service. To analyze the similarities between the price trends of each apartments, this study uses FastDTW algorithm which is quite popular in time series analysis domain. After figured out the distance matrix from FastDTW, this study uses Hierarchical Clustering algorithm and Chi-squared test to compare each districts’ relationship. The analysis result shows that which districts in Seoul are similar and which districts are not.

Autoregressed Controller, which have trend algorithm, seeks to minimize variability by transferring the output variable to the related process input variable, while multivariate process control techniques seek to reduce variability by detecting and eliminating assignable causes of variation. In the case of process control, a very reasonable objective is to try to minimize the variance of the output deviations from the target or set point. We also investigate algorithm with relevant Shewhart chart, Theoretical control charts, precontrol and process capability. To help the people who want to make the theoretical system, we compare the main techniques in "a study on the relation between multivariate process control techniques and trend algorithms".