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<table width="100%" summary="page for surf.ls {spatial}"><tr><td>surf.ls {spatial}</td><td align="right">R Documentation</td></tr></table>
<h2>Fits a Trend Surface by Least-squares</h2>
<h3>Description</h3>
<p>
Fits a trend surface by least-squares.
</p>
<h3>Usage</h3>
<pre>
surf.ls(np, x, y, z)
</pre>
<h3>Arguments</h3>
<table summary="R argblock">
<tr valign="top"><td><code>np</code></td>
<td>
degree of polynomial surface
</td></tr>
<tr valign="top"><td><code>x</code></td>
<td>
x coordinates or a data frame with columns <code>x</code>, <code>y</code>, <code>z</code>
</td></tr>
<tr valign="top"><td><code>y</code></td>
<td>
y coordinates
</td></tr>
<tr valign="top"><td><code>z</code></td>
<td>
z coordinates. Will supersede <code>x$z</code>
</td></tr>
</table>
<h3>Value</h3>
<p>
list with components
</p>
<table summary="R argblock">
<tr valign="top"><td><code>beta</code></td>
<td>
the coefficients
</td></tr>
<tr valign="top"><td><code>x</code></td>
<td>
</td></tr>
<tr valign="top"><td><code>y</code></td>
<td>
</td></tr>
<tr valign="top"><td><code>z</code></td>
<td>
and others for internal use only.
</td></tr>
</table>
<h3>References</h3>
<p>
Ripley, B. D. (1981) <EM>Spatial Statistics.</EM> Wiley.
</p>
<p>
Venables, W. N. and Ripley, B. D. (2002)
<EM>Modern Applied Statistics with S.</EM> Fourth edition. Springer.
</p>
<h3>See Also</h3>
<p>
<code><a href="trmat.html">trmat</a></code>, <code><a href="surf.gls.html">surf.gls</a></code>
</p>
<h3>Examples</h3>
<pre>
library(MASS) # for eqscplot
data(topo, package="MASS")
topo.kr <- surf.ls(2, topo)
trsurf <- trmat(topo.kr, 0, 6.5, 0, 6.5, 50)
eqscplot(trsurf, type = "n")
contour(trsurf, add = TRUE)
points(topo)
eqscplot(trsurf, type = "n")
contour(trsurf, add = TRUE)
plot(topo.kr, add = TRUE)
title(xlab= "Circle radius proportional to Cook's influence statistic")
</pre>
<hr><div align="center">[Package <em>spatial</em> version 7.2-44 <a href="00Index.html">Index]</a></div>
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