What does an ellipses graph show?

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That is to say: a graph with multiple feature variables showing different ellipses plots for class groups. What do the ellipses actually tell us? How are the ellipses graphed? What does overlap among ellipses mean? What basic graphing theory techniques are ellipse graphs based on?

I look at ellipse graphs and just think: huh – it looks like clustering but I know it isn’t clustering. I have no idea what this is saying and it is awful confusing.

[Example](https://machinelearningmastery.com/machine-learning-in-r-step-by-step/)

Scroll to section 4.2. The first plot there is the one I am asking about.

In: Mathematics

4 Answers

Anonymous 0 Comments

[Like this?](https://upload.wikimedia.org/wikipedia/commons/e/e4/Venn_diagram_gr_la_ru.svg)

Those are venn diagrams. Each circle represents a set, a collection of things. In this case, they’re uppercase glyphs (the ‘drawing’ you make to create a letter). Where the circles overlap, it means the things inside the overlap are shared by the two sets. For insta’ce N, I and Z are qhared by the Latin and Greek alphabet. The middle bit with O, M, H and all, means it’s shared by all alphabets.

[Here’s a complicated one about Europe](https://upload.wikimedia.org/wikipedia/commons/thumb/1/1a/Supranational_European_Bodies-en.svg/1200px-Supranational_European_Bodies-en.svg.png). This one also has circles inside circles, which means that every element of the ‘smaller’ set is also an element of the ‘larger’ one (like how all natural numbers are integers, but not vice versa).

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