LAMPIRAN 2 Persamaan dengan Metode Kuadrat Terkecil dan Mendeteksi Pencilan dengan MINITAB

  

LAMPIRAN 1

Membangkitkan Data dengan Program R

LAMPIRAN 2

Persamaan dengan Metode Kuadrat Terkecil dan Mendeteksi Pencilan

dengan MINITAB

  Data\MINITAB\Data1MPJ.MPJ' MTB > Name c53 "DFIT3" MTB > Regress 'Y' 1 'X'; SUBC> DFits 'DFIT3'; SUBC> Constant; SUBC> Brief 2.

Regression Analysis: Y versus X

  The regression equation is Y = - 4,55 + 1,41 X Data\MINITAB\Data2MPJ.MPJ' MTB > Name c37 "DFIT2" MTB > Regress 'Y' 1 'X'; SUBC> DFits 'DFIT2'; SUBC> Constant; SUBC> Brief 2.

  Regression Analysis: Y versus X

  Y = 1,50 + 0,805 X Data\MINITAB\Data3.1MPJ.MPJ' MTB > Name c47 "DFIT1" MTB > Regress 'Y' 1 'X'; SUBC> DFits 'DFIT1'; SUBC> Constant; SUBC> Brief 2.

Regression Analysis: Y versus X

  The regression equation is Y = - 1,97 + 1,21 X Data\MINITAB\Data4MPJ.MPJ' MTB > Name c49 "DFIT2" MTB > Regress 'Y' 1 'X'; SUBC> DFits 'DFIT2'; SUBC> Constant; SUBC> Brief 2.

Regression Analysis: Y versus X

  The regression equation is Y = 0,46 + 0,982 X

  

LAMPIRAN 3

Persamaan Penduga-LTS dengan Metode Kuadrat Terkecil

  MTB > Regress 'Ylt' 1 'Xlt'; SUBC> Constant; SUBC> Brief 2.

Regression Analysis: Ylt versus Xlt

  The regression equation is Ylt = - 3,92 + 1,32 Xlt MTB > Regress 'Ylt' 1 'Xlt'; SUBC> Constant; SUBC> Brief 2.

Regression Analysis: Ylt versus Xlt

  The regression equation is Ylt = 2,91 + 0,701 Xlt MTB > Regress 'Ylt' 1 'Xlt'; SUBC> Constant;

Regression Analysis: Ylt versus Xlt

  The regression equation is Ylt = - 1,25 + 1,15 Xlt MTB > Regress 'Ylt' 1 'Xlt'; SUBC> Constant; SUBC> Brief 2.

Regression Analysis: Ylt versus Xlt

  The regression equation is Ylt = - 2,63 + 1,27 Xlt

  

LAMPIRAN 4

Program Macro MINITAB Regresi Robust dengan Pembobot Fungsi Huber

(dengan r=1) macro robust1 X.1 Y mconstant n s k2 r k1 iter mcolumn X.1 Y b e eb pseb w b0 b1 mmatrix let n=count(Y) regres Y 1 X.1; coef b; residual e; constant; brief 0. let b0(1)=b(1) let b1(1)=b(2) let iter=15 DO k2=2:iter let s=1.5*median(abs(e)) let eb=e/s DO k1=1:n

  IF abs(eb(k1))<=r let pseb(k1)=eb(k1) ELSEIF eb(k1)>r let pseb(k1)=r ELSE let pseb(k1)=-r ENDIF ENDDO print k2 let w=pseb/eb print w regres Y 1 X.1; weights w; coef b; residual e; constant; brief 0. let b0(k2)=b(1) let b1(k2)=b(2) ENDDO print b0 b1 ENDMACRO

  

Lampiran 5

Hasil Output Program macro MINITAB Data 1, Data 2, Data 3, dan Data 4

  Data\MINITAB\Data1MPJ.MPJ' MTB > %estimasiM.txt C1 C2 Executing from file: estimasiM.txt

Data Display

  k2 2,00000

  Data Display

  1,00000 1,00000 0,73693 1,00000 0,28145 1,00000 1,00000 0,83920 1,00000 1,00000 1,00000 1,00000 0,59782 1,00000 1,00000 1,00000 1,00000 1,00000 0,69161 1,00000

Data Display

  k2 3,00000

Data Display

  w 1,00000 1,00000 0,92608 1,00000 0,24076 1,00000 1,00000 0,75530 1,00000 1,00000 1,00000 1,00000 0,57182 1,00000 1,00000 1,00000 1,00000 1,00000 0,64117 1,00000

Data Display

  k2 4,00000

Data Display

  w 1,00000 1,00000 0,97802 1,00000 0,23413 1,00000 1,00000 0,73893 1,00000 1,00000 1,00000 1,00000 0,56642 1,00000 1,00000 1,00000 1,00000 1,00000 0,63106 1,00000

Data Display

  k2 5,00000

Data Display

  w 1,00000 1,00000 0,99935 1,00000 0,23482 1,00000 1,00000 0,74217 1,00000 1,00000 1,00000 1,00000 0,57042 1,00000 1,00000 1,00000 1,00000 1,00000 0,63464 1,00000

Data Display

  k2 6,00000

Data Display

  w 1,00000 1,00000 1,00000 1,00000 0,23488 1,00000 1,00000 0,74369 1,00000 1,00000 1,00000 1,00000 0,57174 1,00000 1,00000 1,00000 1,00000 1,00000 0,63600 1,00000

  Data Display

Data Display

  w 1,00000 1,00000 1,00000 1,00000 0,23485 1,00000 1,00000 0,74389 1,00000 1,00000 1,00000 1,00000 0,57185 1,00000 1,00000 1,00000 1,00000 1,00000 0,63614 1,00000

Data Display

  k2 8,00000

Data Display

  w 1,00000 1,00000 1,00000 1,00000 0,23485 1,00000 1,00000 0,74391 1,00000 1,00000 1,00000 1,00000 0,57186 1,00000 1,00000 1,00000 1,00000 1,00000 0,63615 1,00000

Data Display

  k2 9,00000

Data Display

  w 1,00000 1,00000 1,00000 1,00000 0,23485 1,00000 1,00000 0,74392 1,00000 1,00000 1,00000 1,00000 0,57186 1,00000 1,00000 1,00000 1,00000 1,00000 0,63616 1,00000

Data Display

  k2 10,0000

Data Display

  w 1,00000 1,00000 1,00000 1,00000 0,23485 1,00000 1,00000 0,74392 1,00000 1,00000 1,00000 1,00000 0,57186 1,00000 1,00000 1,00000 1,00000 1,00000 0,63616 1,00000

Data Display

  k2 11,0000

Data Display

  w 1,00000 1,00000 1,00000 1,00000 0,23485 1,00000 1,00000 0,74392 1,00000 1,00000 1,00000 1,00000 0,57186 1,00000 1,00000 1,00000 1,00000 1,00000 0,63616 1,00000

Data Display

  k2 12,0000

Data Display

  w 1,00000 1,00000 1,00000 1,00000 0,23485 1,00000 1,00000 0,74392 1,00000 1,00000 1,00000 1,00000 0,57186 1,00000 1,00000 1,00000 1,00000 1,00000 0,63616 1,00000

Data Display

  k2 13,0000

Data Display

  w 1,00000 1,00000 1,00000 1,00000 0,23485 1,00000 1,00000 0,74392 1,00000 1,00000 1,00000 1,00000 0,57186 1,00000 1,00000 1,00000 1,00000 1,00000 0,63616 1,00000

Data Display

  k2 14,0000

Data Display

  w 1,00000 1,00000 1,00000 1,00000 0,23485 1,00000 1,00000 0,74392 1,00000 1,00000 1,00000 1,00000 0,57186 1,00000 1,00000 1,00000 1,00000 1,00000 0,63616 1,00000

Data Display

  k2 15,0000

Data Display

  w 1,00000 1,00000 1,00000 1,00000 0,23485 1,00000 1,00000 0,74392 1,00000 1,00000 1,00000 1,00000 0,57186 1,00000 1,00000 1,00000 1,00000 1,00000 0,63616 1,00000

Data Display

  Row b0 b1 1 -4,54687 1,41151 2 -2,75285 1,23841 3 -2,40824 1,20484 4 -2,33364 1,19758

  7 -2,31699 1,19616 8 -2,31699 1,19616 9 -2,31699 1,19616 10 -2,31699 1,19616 11 -2,31699 1,19616 12 -2,31699 1,19616 13 -2,31699 1,19616 14 -2,31699 1,19616 15 -2,31699 1,19616 Data\MINITAB\Data2MPJ.MPJ' MTB > %estimasiM.txt C1 C2 Executing from file: estimasiM.txt

Data Display

  k2 2,00000

Data Display

  w 1,00000 1,00000 1,00000 1,00000 0,19546 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 0,66008 0,59743 0,44621 1,00000 1,00000 1,00000 1,00000

Data Display

  k2 3,00000

Data Display

  w 1,00000 1,00000 1,00000 1,00000 0,15689 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 0,92063 0,55998 0,47136 0,40940 1,00000 1,00000 1,00000 0,96687

Data Display

  k2 4,00000

Data Display

  w 1,00000 1,00000 1,00000 1,00000 0,15643 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 0,90394 0,56668 0,46694 0,41307 1,00000 1,00000 1,00000 0,94843

  Data Display

  k2 5,00000

Data Display

  w 1,00000 1,00000 1,00000 1,00000 0,15554 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 0,88934 0,56665 0,46308 0,41144 1,00000 1,00000 1,00000 0,93318

Data Display

  k2 6,00000

Data Display

  w 1,00000 1,00000 1,00000 1,00000 0,15492 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 0,87952 0,56649 0,46045 0,41021 1,00000 1,00000 1,00000 0,92293

Data Display

  k2 7,00000

Data Display

  w 1,00000 1,00000 1,00000 1,00000 0,15451 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 0,87297 0,56638 0,45868 0,40938 1,00000 1,00000 1,00000 0,91610

Data Display

  k2 8,00000

Data Display

  w 1,00000 1,00000 1,00000 1,00000 0,15423 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 0,86861 0,56630 0,45749 0,40882 1,00000 1,00000 1,00000 0,91155

Data Display

  k2 9,00000

Data Display

  w 1,00000 1,00000 1,00000 1,00000 0,15404 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 0,86570 0,56625 0,45670 0,40845 1,00000 1,00000 1,00000 0,90852 k2 10,0000

Data Display

  w 1,00000 1,00000 1,00000 1,00000 0,15391 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 0,86377 0,56622 0,45617 0,40819 1,00000 1,00000 1,00000 0,90650

Data Display

  k2 11,0000

Data Display

  w 1,00000 1,00000 1,00000 1,00000 0,15383 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 0,86248 0,56619 0,45582 0,40803 1,00000 1,00000 1,00000 0,90515

Data Display

  k2 12,0000

Data Display

  w 1,00000 1,00000 1,00000 1,00000 0,15377 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 0,86162 0,56618 0,45558 0,40792 1,00000 1,00000 1,00000 0,90426

Data Display

  k2 13,0000

Data Display

  w 1,00000 1,00000 1,00000 1,00000 0,15374 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 0,86105 0,56617 0,45542 0,40784 1,00000 1,00000 1,00000 0,90366

Data Display

  k2 14,0000

  Data Display

  w

  0,45532 0,40779 1,00000 1,00000 1,00000 0,90326

Data Display

  k2 15,0000

Data Display

  w 1,00000 1,00000 1,00000 1,00000 0,15370 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 0,86041 0,56616 0,45525 0,40776 1,00000 1,00000 1,00000 0,90299

Data Display

  Row b0 b1 1 1,49573 0,804932 2 0,26080 0,942619 3 0,27847 0,942851 4 0,32312 0,938934 5 0,35437 0,936156 6 0,37547 0,934281 7 0,38963 0,933021 8 0,39912 0,932177 9 0,40546 0,931613 10 0,40970 0,931237 11 0,41253 0,930985 12 0,41441 0,930818 13 0,41567 0,930706 14 0,41651 0,930631 15 0,41707 0,930582 Data\MINITAB\Data3MPJ.MPJ' MTB > %estimasiM.txt C1 C2 Executing from file: estimasiM.txt

Data Display

  k2 2,00000

Data Display

  w 1,00000 1,00000 1,00000 1,00000 0,21986 1,00000 0,43699 1,00000 1,00000 1,00000 1,00000 1,00000 0,92880 1,00000 0,71787 1,00000 0,89146 1,00000 0,59316 1,00000

Data Display

  k2 3,00000

  Data Display

  1,00000 1,00000 1,00000 1,00000 0,23163 1,00000 0,54505 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 0,69998 1,00000

Data Display

  k2 4,00000

Data Display

  w 1,00000 1,00000 1,00000 1,00000 0,21239 1,00000 0,51685 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 0,65841 1,00000

Data Display

  k2 5,00000

Data Display

  w 1,00000 1,00000 1,00000 1,00000 0,21009 0,99514 0,51353 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 0,65048 1,00000

Data Display

  k2 6,00000

Data Display

  w 1,00000 1,00000 1,00000 1,00000 0,20963 0,99196 0,51287 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 0,64880 1,00000

Data Display

  k2 7,00000

Data Display

  w 1,00000 1,00000 1,00000 1,00000 0,20945 0,99074 0,51262 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 0,64825 1,00000

  Data Display

Data Display

  w 1,00000 1,00000 1,00000 1,00000 0,20938 0,99026 0,51251 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 0,64805 1,00000

Data Display

  k2 9,00000

Data Display

  w 1,00000 1,00000 1,00000 1,00000 0,20936 0,99008 0,51248 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 0,64797 1,00000

Data Display

  k2 10,0000

Data Display

  w 1,00000 1,00000 1,00000 1,00000 0,20935 0,99001 0,51246 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 0,64795 1,00000

Data Display

  k2 11,0000

Data Display

  w 1,00000 1,00000 1,00000 1,00000 0,20934 0,98999 0,51246 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 0,64793 1,00000

Data Display

  k2 12,0000

Data Display

  w 1,00000 1,00000 1,00000 1,00000 0,20934 0,98998 0,51245 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 0,64793 1,00000

Data Display

  k2 13,0000

Data Display

  w 1,00000 1,00000 1,00000 1,00000 0,20934 0,98997 0,51245 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 0,64793 1,00000

Data Display

  k2 14,0000

Data Display

  w 1,00000 1,00000 1,00000 1,00000 0,20934 0,98997 0,51245 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 0,64793 1,00000

Data Display

  k2 15,0000

Data Display

  w 1,00000 1,00000 1,00000 1,00000 0,20934 0,98997 0,51245 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 1,00000 0,64793 1,00000

Data Display

  Row b0 b1 1 -1,97336 1,21303 2 -0,48341 1,05198 3 -0,16233 1,01764 4 -0,15542 1,01649 5 -0,15520 1,01636 6 -0,15403 1,01622 7 -0,15347 1,01615 8 -0,15324 1,01612 9 -0,15315 1,01611 10 -0,15312 1,01611 11 -0,15310 1,01611 12 -0,15310 1,01610 13 -0,15310 1,01610 14 -0,15310 1,01610 15 -0,15310 1,01610 Data\MINITAB\Data4MPJ.MPJ'

  Executing from file: estimasiM.txt

Data Display

  k2 2,00000

Data Display

  w 1,00000 1,00000 1,00000 1,00000 0,15528 1,00000 1,00000 1,00000 0,83604 0,53686 1,00000 1,00000 1,00000 0,80579 0,47234 0,60017 0,80083 1,00000 0,75200 1,00000

Data Display

  k2 3,00000

Data Display

  w 1,00000 1,00000 1,00000 1,00000 0,10466 1,00000 1,00000 1,00000 0,69186 0,58784 1,00000 1,00000 1,00000 0,84342 0,30309 0,33868 0,65395 1,00000 0,97804 1,00000

Data Display

  k2 4,00000

Data Display

  w 1,00000 1,00000 1,00000 1,00000 0,10091 1,00000 1,00000 1,00000 0,68789 0,68612 1,00000 1,00000 1,00000 0,93857 0,29091 0,31335 0,64798 1,00000 1,00000 1,00000

Data Display

  k2 5,00000

Data Display

  w 1,00000 1,00000 1,00000 1,00000 0,10172 1,00000 1,00000 1,00000 0,69861 0,72401 1,00000 1,00000 1,00000 0,97871 0,29289 0,31315 0,65756 1,00000 1,00000 1,00000

  Data Display

  k2 6,00000 w 1,00000 1,00000 1,00000 1,00000 0,10183 1,00000 1,00000 1,00000 0,70161 0,73210 1,00000 1,00000 1,00000 0,98814 0,29303 0,31288 0,66023 1,00000 1,00000 1,00000

Data Display

  k2 7,00000

Data Display

  w 1,00000 1,00000 1,00000 1,00000 0,10185 1,00000 1,00000 1,00000 0,70240 0,73393 1,00000 1,00000 1,00000 0,99041 0,29302 0,31279 0,66094 1,00000 1,00000 1,00000

Data Display

  k2 8,00000

Data Display

  w 1,00000 1,00000 1,00000 1,00000 0,10185 1,00000 1,00000 1,00000 0,70260 0,73436 1,00000 1,00000 1,00000 0,99096 0,29301 0,31276 0,66111 1,00000 1,00000 1,00000

Data Display

  k2 9,00000

Data Display

  w 1,00000 1,00000 1,00000 1,00000 0,10185 1,00000 1,00000 1,00000 0,70265 0,73446 1,00000 1,00000 1,00000 0,99109 0,29301 0,31276 0,66116 1,00000 1,00000 1,00000

Data Display

  k2 10,0000

Data Display

  w 1,00000 1,00000 1,00000 1,00000 0,10185 1,00000 1,00000 1,00000 0,70267 0,73448 1,00000 1,00000 1,00000 0,99113 0,29301 0,31275 0,66117 1,00000 1,00000 1,00000

  Data Display

Data Display

  w 1,00000 1,00000 1,00000 1,00000 0,10185 1,00000 1,00000 1,00000 0,70267 0,73449 1,00000 1,00000 1,00000 0,99113 0,29301 0,31275 0,66117 1,00000 1,00000 1,00000

Data Display

  k2 12,0000

Data Display

  w 1,00000 1,00000 1,00000 1,00000 0,10185 1,00000 1,00000 1,00000 0,70267 0,73449 1,00000 1,00000 1,00000 0,99114 0,29301 0,31275 0,66117 1,00000 1,00000 1,00000

Data Display

  k2 13,0000

Data Display

  w 1,00000 1,00000 1,00000 1,00000 0,10185 1,00000 1,00000 1,00000 0,70267 0,73449 1,00000 1,00000 1,00000 0,99114 0,29301 0,31275 0,66117 1,00000 1,00000 1,00000

Data Display

  k2 14,0000

Data Display

  w 1,00000 1,00000 1,00000 1,00000 0,10185 1,00000 1,00000 1,00000 0,70267 0,73449 1,00000 1,00000 1,00000 0,99114 0,29301 0,31275 0,66117 1,00000 1,00000 1,00000

Data Display

  k2 15,0000

Data Display

  w 1,00000 1,00000 1,00000 1,00000 0,10185 1,00000 1,00000 1,00000 0,70267 0,73449 1,00000 1,00000 1,00000 0,99114

Data Display

  Row b0 b1 1 0,46201 0,98245 2 -1,72584 1,17872 3 -2,51533 1,25312 4 -2,68421 1,26896 5 -2,71469 1,27167 6 -2,72096 1,27221 7 -2,72234 1,27233 8 -2,72266 1,27235 9 -2,72274 1,27236 10 -2,72275 1,27236 11 -2,72276 1,27236 12 -2,72276 1,27236 13 -2,72276 1,27236 14 -2,72276 1,27236 15 -2,72276 1,27236

  

Lampiran 6

Persamaan Penduga-S Data 1, Data 2, Data 3 dan Data 4 dengan R

Data 1

  Data 2

  Data 3

  Data 4

  

Lampiran 7

Perulangan Data Simulasi

Data ke-

  Letak Pencilan di Ujung Bawah Data 1.1 Data 1.2 Data 1.3 Data 1.4

  X Y

  X Y

  X Y

X Y

  

1 10,9384 11,3667 9,4991 8,2990 11,0241 11,4980 9,5798 9,7206

2 10,9626 9,4702 9,3211 9,7080 10,2882 10,5252 8,5893 7,8797

3 9,2479 9,0498 9,7256 9,2891 11,7282 10,6744 10,1018 8,0740

4 11,4549 11,1408 11,6603 11,4100 12,5672 12,1090 10,6760 11,3832

5 8,5000 5,0000 9,0000 4,0000 9,5000 5,0000 8,5000 3,5000

6 10,7672 11,9199 10,0175 9,7229 9,9557 10,2858 11,2379 10,8806

7 10,9858 11,2756 9,4737 9,7684 10,2784 10,7365 8,3134 7,6695

8 10,2638 10,9304 8,5295 9,3999 10,4886 9,8091 9,9691 10,9018

9 9,4410 9,0994 11,2864 10,1848 8,7464 9,3495 8,9718 7,5066

10 10,7294 12,0933 10,9375 12,9055 9,7922 9,0131 12,1683 12,9687

  

11 9,1744 9,0206 11,0328 9,9629 11,8901 11,2485 9,9857 8,1493

12 12,3847 13,8371 10,4015 11,7538 11,0021 11,0305 10,0475 9,7115

13 11,2835 10,9246 11,1829 10,4364 8,4359 7,1680 9,1524 7,6817

14 10,1057 9,6997 10,3046 7,7499 9,0771 10,5344 10,4522 10,2707

15 10,8837 11,4819 10,3259 8,9349 9,8870 7,5402 10,7285 9,6489

16 9,5734 9,9752 9,3807 9,3104 10,5200 12,5262 9,8786 10,2048

17 9,6933 9,4426 10,2086 9,6546 11,3214 10,9116 9,3021 8,8980

18 8,5464 9,3974 9,0971 10,0117 9,9333 9,9338 10,1756 10,0576

19 10,4321 10,7468 12,1418 11,1747 10,9497 10,1612 9,7438 9,3538

20 9,5469 9,6804 11,7814 12,2024 8,5925 7,3656 10,9322 9,0888

  Data ke- Letak Pencilan di Tengah Bawah Data 2.1 Data 2.2 Data 2.3 Data 2.4

  X Y

  X Y

  X Y

X Y

  

1 11,7466 11,0230 9,4991 8,2990 9,6294 10,0745 9,9737 11,6137

2 9,2999 10,4381 9,3211 9,7080 10,0566 11,9969 9,9014 9,7467

3 10,5085 10,7401 9,7256 9,2891 10,2271 10,7987 9,0930 8,7870

4 10,1879 8,9916 11,6603 11,4100 11,8048 11,3398 11,2763 10,1763

5 10,5000 4,5000 10,5000 5,0000 11,0000 5,0000 10,5000 4,0000

6 9,4888 8,0855 10,0175 9,7229 11,7961 10,8374 11,4849 11,6986

7 10,5127 9,9005 9,4737 9,7684 10,0038 10,2741 10,5413 13,7554

8 10,1746 9,6544 8,5295 9,3999 8,3665 7,1408 9,8215 10,6077

9 10,4603 10,8288 11,2864 10,1848 9,5996 10,3283 10,6959 11,9879

10 11,0999 11,4000 10,9375 12,9055 11,1343 9,5946 9,9392 10,8170

  

11 10,9145 10,9465 11,0328 9,9629 10,9399 13,4029 10,1324 10,4586

12 9,7326 9,0117 10,4015 11,7538 9,9157 10,6094 10,6071 9,8277

13 9,8506 11,9771 11,1829 10,4364 8,9579 9,2717 9,2339 10,6191

14 8,7324 8,0063 10,3046 7,7499 10,0558 9,5510 10,6184 9,4876

15 9,2742 8,4822 10,3259 8,9349 11,4660 12,2458 10,1097 10,1301 Data ke- Letak Pencilan di Tengah Bawah Data 2.1 Data 2.2 Data 2.3 Data 2.4

  X Y

X Y

  

11 8,7583 7,5432 8,7583 7,5432 8,3057 9,9101 10,0109 9,3026

12 8,7942 9,6925 8,7942 9,6925 10,6002 11,4602 10,5803 10,6670

13 8,3696 8,1116 8,3696 8,1116 9,6727 10,0635 11,6334 12,5298

14 8,1872 7,0140 8,1872 7,0140 10,4314 10,0709 8,3522 9,8387

15 9,8113 9,4855 9,8113 9,4855 9,0970 9,2586 8,5340 8,4451

16 9,9291 8,3090 9,9291 8,3090 10,4914 7,3278 11,1258 11,8301

17 10,9354 11,3335 10,9354 11,3335 10,3250 9,4802 9,4427 10,1533

18 9,2227 9,0989 9,2227 9,0989 9,5942 9,4798 9,2454 9,3401

19 10,2255 9,7902 10,2255 9,7902 9,4215 10,8769 9,7670 9,6008

20 10,7852 10,2624 10,7852 10,2624 9,9620 7,2731 10,1546 11,5003

  

1 9,8418 9,0598 10,4826 9,2924 9,4023 8,4200 10,1798 11,8952

2 10,2318 10,1727 10,1954 10,1784 9,4140 8,5685 12,0474 11,1254

3 9,9644 11,4111 8,1208 8,1022 9,9297 9,6469 10,0750 10,1239

4 9,5767 10,9250 10,2277 9,7994 9,1260 9,1610 10,5271 9,6756

5 9,5000 14,0000 9,0000 12,5000 9,0000 14,0000 9,5000 15,0000

6 11,4500 11,8149 9,8738 10,3218 8,0883 8,9640 11,6206 12,1958

7 10,1851 9,9997 10,2206 10,1423 8,8129 7,9337 8,8126 9,6109

  X Y

  X Y

  X Y

  Data ke- Letak Pencilan di Tengah Atas Data 4.1 Data 4.2 Data 4.3 Data 4.4

  

1 8,6719 8,6400 8,6719 8,6400 10,2224 10,3258 10,8526 9,5500

2 8,5871 10,5205 8,5871 10,5205 9,8870 10,8173 9,6917 10,4372

3 9,7627 10,7408 9,7627 10,7408 11,2809 9,9585 10,1970 10,0010

4 8,3258 9,6695 8,3258 9,6695 10,9198 11,9886 9,4123 10,8935

5 12,0000 7,5000 11,0000 15,5000 11,0000 16,5000 11,5000 16,0000

6 10,9460 9,2059 10,9460 9,2059 9,1298 9,5336 11,0989 10,9861

7 10,7508 11,5065 10,7508 11,5065 10,9793 11,6449 9,5545 11,3926

8 9,1792 9,1246 9,1792 9,1246 11,6585 11,1575 11,4003 10,3292

9 11,3609 9,4410 11,3609 9,4410 9,1680 8,4237 11,7723 10,7008

10 8,6906 7,3321 8,6906 7,3321 9,8956 9,6808 9,4415 10,3168

  X Y

  X Y

  X Y

  X Y

  Data 3.1 Data 3.2 Data 3.3 Data 3.4

  X Y

18 9,1325 7,1772 9,0971 10,0117 10,1408 8,6025 8,4386 7,2587

19 11,4565 10,7763 12,1418 11,1747 11,7744 10,7744 9,7110 10,4824

20 11,1202 11,9324 11,7814 12,2024 9,1795 8,8711 9,9838 9,6042

Data ke- Letak Pencilan di Ujung Atas

  X Y