On the Statistical Data Management by the Multiple Regression Analysis

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Published: Nov 12, 2018
Keywords:
prediction, factorial experiment, linear multiple regression equation, multiple correlation coefficient

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Katsumi Ujiie
Research Institute of Education, Tokai University, Japan
Eiji Itoh
Department of Sports Leisure Management, School of Physical Education, Tokai University, Japan

Abstract

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



                                                    prediction



                                a0 + a1x1 + … + apxp                           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

Article Details

Issue
Vol. 5 No. 1 (2005)
Section
Original Research Articles

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References

[1] Johnson, R. A. and Wichern, D. W. (1988). Applied Multivariate Statistical Analysis, Part III, Fourth Edition, Prentice Hall.
[2] Tanaka, Y. Tarumi, T. and Wakimoto, K. (1994). Handbook of Personal-Computer Statistical Analysis Pert II Multivariate Analysis Series, Kyoritsu.Co.
[3] Tanaka, Y. and Wakimoto, K. (1983). Method of Multivariate Statistical Analysis, Gendai Suugakusya.