titanium {DierckxSpline}R Documentation

titanium heat data

Description

49 values expressing a thermal property of titanium.

Usage

data(titanium)

Format

a data.frame with the following columns:

x
Temperature (in unknown units
y
physical property
yhat
predictions from some method
residual
100*(y-yhat)

Details

Famous example used by de Boor and Rice (1968), Jupp (1978), Dierckx (1993) and perhaps others.

Source

de Boor, C., and Rice, J. R. (1986), Least-squares cubic spline approximation. II: variable knots. Report CSD TR 21, Purdue U., Lafayette, IN.

Dierckx, Paul (1993), Curve and Surface Fitting with Splines, Springer.

Jupp, D. L. B. (1975), Approximation to data by splines with free knots, SIAM Journal on Numerical Analysis, 15: 328-343.

Examples

data(titanium)
r <- curfit.free.knot(titanium$x2,
   titanium$y, g = 10, eps = 5e-4)
xyplot(r, show.knots = TRUE)


[Package DierckxSpline version 1.0-9 Index]