Visualizing Bivariate Statistics Using Ellipses Over a Scatter Plot

Mamunur Rashid, J. Sarkar, Siddhanta Phuyal
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Abstract

A scatter plot shows the relationship between two quantitative variables x and y. Sometimes, we can predict one variable as a linear function of the other using the least-squares regression lines of y on x or x on y. These two regression lines together suffice to identify the mean vector, the coefficient of determination, the correlation coefficient, and the ratio of the standard deviations (SD). So, do our proposed summary ellipses. Additionally, the inner ellipse reveals the SDs and the outer ellipse flags potential outliers.    
在散点图上使用椭圆可视化二元统计
散点图显示了两个定量变量x和y之间的关系。有时,我们可以使用y对x或x对y的最小二乘回归线来预测一个变量作为另一个变量的线性函数。这两条回归线一起足以确定平均向量、决定系数、相关系数和标准差(SD)的比率。所以,我们建议的摘要省略。此外,内椭圆显示SDs,外椭圆标记潜在的异常值。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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