Visualizing Bivariate Statistics Using Ellipses Over a Scatter Plot

dc.contributor.authorRashid, Mamunur
dc.contributor.authorSarkar, Jyotirmoy
dc.contributor.authorPhuyal, Siddhanta
dc.contributor.departmentMathematical Sciences, School of Science
dc.date.accessioned2024-01-05T21:44:02Z
dc.date.available2024-01-05T21:44:02Z
dc.date.issued2022-10-03
dc.description.abstractA 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.
dc.eprint.versionFinal published version
dc.identifier.citationRashid, M., Sarkar, J., & Phuyal, S. (2022). Visualizing Bivariate Statistics Using Ellipses Over a Scatter Plot. Journal of Probability and Statistical Science, 20(1), Article 1. https://doi.org/10.37119/jpss2022.v20i1.584
dc.identifier.urihttps://hdl.handle.net/1805/37676
dc.language.isoen_US
dc.publisherSusan Rivers' Cultural Institute
dc.relation.isversionof10.37119/jpss2022.v20i1.584
dc.relation.journalJournal of Probability and Statistical Science
dc.rightsAttribution 4.0 Internationalen
dc.rights.urihttps://creativecommons.org/licenses/by/4.0
dc.sourcePublisher
dc.subjectdot plot
dc.subjectboxplot
dc.subjectGaussian interval plot
dc.subjectsummary ellipse
dc.titleVisualizing Bivariate Statistics Using Ellipses Over a Scatter Plot
dc.typeArticle
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