regr2.plot: 3D plot of z against x and y, with regression plane fit and...

In HH: Statistical Analysis and Data Display: Heiberger and Holland

3D plot of z against x and y, with regression plane fit and display of squared residuals.

Description

3D plot of z against x and y, with regression plane fit and display of squared residuals.

Usage

regr2.plot(x, y, z,
           main.in="put a useful title here",
           resid.plot=FALSE,
           plot.base.plane=TRUE,
           plot.back.planes=TRUE,
           plot.base.points=FALSE,
           eye=NULL,                   ## S-Plus
           theta=0, phi=15, r=sqrt(3), ticktype="detailed", ## R
           ...)

Arguments

x, y, z	See persp.
main.in	main title for plot.
resid.plot	Argument to resid.squares.
plot.base.plane, plot.back.planes, plot.base.points	Should these items be plotted?
eye	S-Plus only. See persp.
theta, phi, r, ticktype	R only. See persp.
...	Other arguments to persp.

Value

"Viewing Transformation" for projecting 3D coordinates (x,y,z) into the 2D plane. See persp for details.

Note

This plot is designed as a pedagogical example for introductory courses. When resid.plot=="square", then we actually see the set of squares for which the sum of their areas is minimized by the method of "least squares". The demo called in the examples section shows the geometry of regression coefficients, the change in predicted y when x1 is changed one unit holding all other x variables constant.

Author(s)

Richard M. Heiberger <[e-mail]>

References

Heiberger, Richard M. and Holland, Burt (2015). Statistical Analysis and Data Display: An Intermediate Course with Examples in R. Second Edition. Springer-Verlag, New York. https://link.springer.com/book/10.1007/978-1-4939-2122-5

Smith, W. and Gonick, L. (1993). The Cartoon Guide to Statistics. HarperCollins.

See Also

resid.squares, regr1.plot, persp

Examples

data(fat)
regr2.plot(fat[,"abdomin"], xlab="abdomin",
           fat[,"biceps"],  ylab="biceps",
           fat[,"bodyfat"], zlab="bodyfat",
           resid.plot="square",
           eye=c(335.5, 115.65, 171.9),   ## used only in S-Plus
           theta=140, phi=35, r=sqrt(15), ## used only in R
           box=is.R(),
           plot.back.planes=FALSE,
           main="Least-squares with two X-variables")

## Not run: 
  demo("regr2", package="HH", ask=FALSE)
  ## run the file manually to see the individual steps.

## End(Not run)

HH documentation built on May 29, 2024, 6:24 a.m.