RegressionCommon`
RegressionCommon`

# Ellipsoid

As of Version 7.0, Ellipsoid has been moved to the Multivariate Statistics package.

Ellipsoid[{x1,,xp},{r1,,rp}]

represents a p-dimensional ellipsoid centered at the point {x1,,xp} with semi-axis radii ri aligned with the coordinate axes.

Ellipsoid[{x1,,xp},{r1,,rp},{d1,,dp}]

represents a p-dimensional ellipsoid with semi-axis radii ri aligned with the direction di.

# Details and Options

• To use Ellipsoid, you first need to load the Regression Common Functions Package. You can do this by using Needs["MultivariateStatistics`"], which will automatically load the Regression Common Functions Package, or you can load the package directly by using Needs["RegressionCommon`"].
• Ellipsoid is used to represent ellipsoidal regions such as EllipsoidQuantile and EllipsoidQuartiles.
• Two-dimensional Ellipsoid objects can be plotted using Graphics.
• If the direction matrix {d1,,dp} is a permutation of the identity matrix, the direction matrix is automatically dropped, reordering the radii if necessary.
Wolfram Research (2007), Ellipsoid, Wolfram Language function, https://reference.wolfram.com/language/RegressionCommon/ref/Ellipsoid.html.

#### Text

Wolfram Research (2007), Ellipsoid, Wolfram Language function, https://reference.wolfram.com/language/RegressionCommon/ref/Ellipsoid.html.

#### CMS

Wolfram Language. 2007. "Ellipsoid." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/RegressionCommon/ref/Ellipsoid.html.

#### APA

Wolfram Language. (2007). Ellipsoid. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/RegressionCommon/ref/Ellipsoid.html

#### BibTeX

@misc{reference.wolfram_2024_ellipsoid, author="Wolfram Research", title="{Ellipsoid}", year="2007", howpublished="\url{https://reference.wolfram.com/language/RegressionCommon/ref/Ellipsoid.html}", note=[Accessed: 23-July-2024 ]}

#### BibLaTeX

@online{reference.wolfram_2024_ellipsoid, organization={Wolfram Research}, title={Ellipsoid}, year={2007}, url={https://reference.wolfram.com/language/RegressionCommon/ref/Ellipsoid.html}, note=[Accessed: 23-July-2024 ]}