[R] fitting plane to 3dim set of data

[phi771]

Hello!

I have a problem creating a fitting plane through my 3d-data set. here is a
sample how my set looks like (x,y,z (with z increasing)):

> dataset
          [,1]             [,2]     [,3]
  [1,] -1.3712 -3.1551   10
  [2,] -1.2690 -3.0751   10
  [3,] -1.1216 -2.9768   10
  [4,] -0.9875 -2.8987   10
  [5,] -0.4021 -2.7542   10
  [6,]  0.0048 -2.6568   10
  [7,]  0.1642 -2.6071   10
  [8,]  0.0720 -2.5816   10
  [9,] -0.2961 -2.5552   10
 [10,] -0.7770 -2.5118   10
 [11,] -1.0970 -2.4508   10
 [12,] -1.2456 -2.3786   10
 [13,] -1.4179 -2.3276   10
 [14,] -1.7759 -2.2667   10
 [15,] -2.2801 -3.4330   11
 [16,] -2.0254 -3.3232   11
 [17,] -1.8960 -3.2282   11
 [18,] -1.7148 -3.1101   11
 [19,] -1.5559 -3.0150   11
 [20,] -0.8677 -2.8460   11
 [21,] -0.3568 -2.7250   11
 [22,] -0.1721 -2.6692   11
 [23,] -0.2951 -2.6373   11
 [24,] -0.7103 -2.5965   11
 [25,] -1.3342 -2.5458   11
 [26,] -1.6955 -2.4662   11
 [27,] -1.8697 -2.3821   11
 [28,] -2.0863 -2.3138   11
 [29,] -2.4981 -2.2376   11
 [30,] -3.0639 -3.6329   12
 [31,] -2.7939 -3.5062   12
 [32,] -2.5782 -3.3798   12
 [33,] -2.3708 -3.2439   12
 [34,] -2.1916 -3.1285   12
 [35,] -1.3914 -2.9368   12
 [36,] -0.7883 -2.7911   12
 [37,] -0.5625 -2.7263   12
 [38,] -0.6858 -2.6882   12
 [39,] -1.2123 -2.6343   12
 [40,] -1.9606 -2.5708   12
 [41,] -2.3586 -2.4765   12
 [42,] -2.5972 -2.3738   12
 [43,] -2.7832 -2.2905   12
 [44,] -3.3004 -2.1983   12
 [45,] -3.8862 -3.8286   13
 [46,] -3.5691 -3.6789   13
 [47,] -3.3333 -3.5338   13
 [48,] -3.0851 -3.3760   13
 [49,] -2.8812 -3.2451   13
 [50,] -1.9070 -3.0168   13
 [51,] -1.2529 -2.8556   13
 [52,] -0.9685 -2.7769   13
 [53,] -1.1275 -2.7322   13
 [54,] -1.7272 -2.6625   13
 [55,] -2.5896 -2.5866   13
 [56,] -3.0374 -2.4728   13
 [57,] -3.3758 -2.3541   13
 [58,] -3.5959 -2.2514   13
 [59,] -4.1466 -2.1419   13
 [60,] -4.8565 -4.0770   14
 [61,] -4.5154 -3.9081   14
 [62,] -4.1926 -3.7312   14
 [63,] -3.8720 -3.5449   14
 [64,] -3.6627 -3.3992   14
 [65,] -2.5851 -3.1462   14
 [66,] -1.7868 -2.9548   14
 [67,] -1.4638 -2.8651   14
 [68,] -1.6493 -2.8082   14
 [69,] -2.3455 -2.7232   14
 [70,] -3.3572 -2.6257   14
 [71,] -3.8678 -2.4903   14
 [72,] -4.1988 -2.3545   14
 [73,] -4.5039 -2.2328   14
 [74,] -5.0707 -2.1091   14

i want to have an analytical expression of a plane, which is smooth and
connects all data points.
can anybody help?
thank you!!

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