THE GRAPHICAL REPRESENTATION OF MULTIPLE REGRESSION ANALYSIS

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  • Ishimura Yujiro
    Graduate School of Fundamental Science and Engineering, Waseda University

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  • 重回帰分析のグラフ表現法
  • ジュウ カイキ ブンセキ ノ グラフ ヒョウゲンホウ

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In this paper, we propose a 'Bonsai' graph to represent the output of multiple regression analysis in graphical form. The BONSAI-SHAPED TREE graph is constructed the output of the multiple regression analysis by graphing R-squared as the stem thickness, the absolute values of the standard partial regression coefficient as the lengths of the branches, and the partial correlation coefficients as the angles of the branches. By graphing the results of the multiple regression analysis, we can easily determine visually the goodness of fit of the multiple regression equation, the degree of influence of the independent variable on the dependent variable, and the relationship between the independent variables.

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