# Interpreting 3D scatter plot

I'm reading a book on data-analysis and in my book I have the following picture of 3-dimensional data and its scatter plot:

Could anyone help me understand how is the scatter plot interpreted? It confuses me at the moment...in other words: "How to read the 3D scatter plot?"

UPDATE:

I used the advices given to me by users a.desantos and JTT and I colored half of the scatter plot in the following way:

I wonder if I got it?

• On 3d scatterplots, always request spikes (projection connectors) to one of the 3 planes, typically, the "floor" one. Aug 16, 2018 at 10:56

3D-scatterplots are sometimes a bit confusing, especially if you can't rotate the plot around. However, the scatterplot matrix supports the interpretation, at least here, rather nicely, even if it is missing the colors.

As a.desantos already pointed out, the individual scatterplots in the second image are projections on different planes. If you think how the points in the 3D-scatterplot have to be located in order to give these projections, it maybe becomes clearer.

The projection to the plane x1, x3 would look roughly like this (can't get the image to load up, colors are marked with letters as follows: r=red, g=green, y=yellow, b=blue):

X3 |y y y y y b b b b b
|y y y y y b b b b b
|y y y y y b b b b b
|y y y y y b b b b b
|y y y y y b b b b b
|r r r r r g g g g g
|r r r r r g g g g g
|r r r r r g g g g g
|r r r r r g g g g g
|r r r r r g g g g g
+-------------------
X1

• Your patient in plotting with chars is awesome and valuable! Sep 20, 2013 at 8:07

I think there are missing colours on the second image. They are the projections on the different planes $x_1,x_2,x_3$.

• +1 Thank you for your help @a.desantos I think I got it, I added a new picture to verify if I understood the point :) Sep 20, 2013 at 8:04
• At present your answer is a little brief and seems more like a comment; please see if you can expand on it. May 23, 2019 at 1:09