Visualizing Higher-Dimensional Data with 3D Scatterplots

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram CDF Player or other Wolfram Language products.

Requires a Wolfram Notebook System

Edit on desktop, mobile and cloud with any Wolfram Language product.

This Demonstration visualizes some four-dimensional data using three-dimensional scatterplots. The data is a random sample of 38 automobiles with four variables: mileage (gallons per mile), weight, displacement, and number of cylinders. There are four possible distinct combinations of interest (mileage-weight-displacement, mileage-weight-cylinders, etc.). Drag to rotate the plot. How does mileage depend on the other variables? Do you think the relationship is approximately linear?

Contributed by: Ian McLeod (October 2013)
Open content licensed under CC BY-NC-SA


Snapshots


Details

The data is given in [1]. The method given here is reasonable for dimensions, but as increases, the number of combinations of variables rapidly increases and so other methods are needed. In [2] methods are discussed for projecting high-dimensional data into three dimensions and then using a 3D scatterplot along with dynamic graphics methods for brushing and linking.

References

[1] B. Abraham and J. Ledholter, Introduction to Regression Modeling, Belmont, CA: Brooks/Cole, 2006.

[2] D. Cook and D. F. Swayne, Interactive and Dynamic Graphics for Data Analysis, New York: Springer, 2007.



Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
Send