On the Statistical Data Management by the Multiple Regression Analysis

Regression analysis is one of the analysis to predict some variable y which is influenced by the data based on other variable x₁, x₂, …, x_p are as

                                a₀ + a₁x₁ + … + a_px_p                           y.

This analysis is used as the factorial experiment with regard to examine the variables contributing the prediction. In this study, we construct the calculation method of the linear multiple regression equation and the multiple correlation coefficient needs this prediction. Furthermore we carry out the prediction and the investigation based on the data of 30 students players of Baseball club Tokai University as an application example.

Keywords:  prediction, factorial experiment, linear multiple regression equation, multiple correlation coefficient

Corresponding author: E-mail: ujiie@keyaki.cc.u-tokai.ac.jp , eiji@keyaki.cc.u-tokai.ac.jp