Re: fit plane to xz axis of data

• To: mathgroup at smc.vnet.net
• Subject: [mg89548] Re: fit plane to xz axis of data
• From: dh <dh at metrohm.ch>
• Date: Thu, 12 Jun 2008 03:00:31 -0400 (EDT)
• References: <g2nudk\$eob\$1@smc.vnet.net>

```
Hi Will,

what do mean by "fit the plane to the xz axis"? Does it mean that you

intreprete your data tripples differently,  the first and last beeing

independent and the middle one the dependent variable? This can be done

dat1[[All,{2,3}]]= dat[[All,{3,2}]]

hope this helps, Daniel

will parr wrote:

> Dear Math Forum,

>

> I am having problems fitting a plane to some data. I am using the following procedure to fit the plane to my data (data is pasted at the bottom of this message):

>

> In[2]:= plane = Fit[data, {1, x, y}, {x, y}]

>

> Out[2]= 3.28723- 0.189001 x - 0.0874557 y

>

> Then the following to display the points and plane:

>

> Show[ListPointPlot3D[data, Boxed -> False, Axes -> True,

>   AxesEdge -> {{-1, -1}, {-1, -1}, {-1, -1}},

>   AxesLabel -> {"x", "y", "z"}],

>  Plot3D[plane, {x, Min[data[[All, 1]]], Max[data[[All, 1]]]}, {y,

>    Min[data[[All, 2]]], Max[data[[All, 2]]]},

>   PlotStyle -> Directive[Green, Opacity[0.5]],

>   Mesh -> None]]

>

> This works fine at fitting the plane in the xy axis, but I want to fit the plane to the xz axis. Does anyone know how this is done?

>

> best wishes,

>

> Will

>

> data = {{7.082985877990723`, 4.599858283996582`,

>     1.7876174449920654`}, {7.721011638641357`,

>     2.7678275108337402`, -1.8340442180633545`}, {8.062139511108398`,

>     4.328474521636963`, 2.9884345531463623`}, {8.354524612426758`,

>     3.9957642555236816`, 1.285754680633545`}, {8.591523170471191`,

>     3.669908046722412`,

>     0.35061490535736084`}, {8.800214767456055`, -5.662844657897949`,

>     1.5693235397338867`}, {8.999824523925781`, -5.489268779754639`,

>     1.732263445854187`}, {9.180744171142578`,

>     3.1141233444213867`, -0.16026635468006134`}, {9.349454879760742`, \

> -4.594699859619141`, -0.8548158407211304`}, {9.494897842407227`, \

> -5.113749027252197`, 1.776286244392395`}, {9.611098289489746`,

>     1.4295107126235962`,

>     4.274338722229004`}, {9.72928237915039`, -0.6715118288993835`,

>     4.490733623504639`}, {9.834979057312012`, 0.180667445063591`,

>     4.286239147186279`}, {9.944467544555664`, 1.609142541885376`,

>     3.596613883972168`}, {10.054197311401367`, -3.8651721477508545`,

>     2.957470655441284`}, {10.163400650024414`, -2.9216561317443848`,

>     3.6342270374298096`}, {10.268680572509766`, -3.492720127105713`,

>     3.0406622886657715`}, {10.373204231262207`, -4.105612754821777`,

>     1.6333847045898438`}, {10.478713035583496`,

>     1.2002798318862915`, -1.4899744987487793`}, {10.580570220947266`,

>     1.7534847259521484`, 0.574606716632843`}, {10.68039321899414`,

>     1.0706040859222412`, 2.273160457611084`}, {10.776029586791992`,

>     0.12055287510156631`, 2.861393690109253`}, {10.871712684631348`,

>     1.344092845916748`,

>     0.6977629065513611`}, {10.96417236328125`, -1.3614286184310913`, \

> -0.9521739482879639`}, {11.057815551757812`,

>     0.46298766136169434`, -0.8828335404396057`}, \

> {11.149628639221191`, -0.25233644247055054`,

>     2.167344570159912`}, {11.243539810180664`, -0.44928330183029175`, \

> -0.641356348991394`}, {11.346000671386719`, -0.28226438164711`, \

> -0.1394062638282776`}, {11.46136474609375`, -1.187252163887024`,

>     0.8916858434677124`}};

>

--

Daniel Huber

Metrohm Ltd.

Oberdorfstr. 68

CH-9100 Herisau

Tel. +41 71 353 8585, Fax +41 71 353 8907

E-Mail:<mailto:dh at metrohm.com>

Internet:<http://www.metrohm.com>

```

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