The house price may exist relationship with social security. We choose six features about social security from "Important Indices of Countries of Information Inquiry System in National Statistics, R.O.C." and house price of three different types of house from "Information System of Real Estate in R.O.C. ". By Canonical Correlation Analysis, we can analyze the relationship of variables about social security and house price. And decide the best canonical function by Rao’s F Approximation and Redundancy index.