Cálculo Krigagem

5/20/2018 Clculo Krigagem

1/16

Clculo Krigagem

Ponto X Y Z Distncia Diff 2 Semivariancia

A 1 5 100 AB 2 25 12.5

B 1 3 105 AC 2.236 25 12.5

C 3 4 105 AD 3 0 0

D 4 5 100 AE 5.657 225 112.5

E 5 1 115 BC 2.236 0 0

F 1 4 ? BD 3.606 25 12.5

BE 4.472 100 50

CD 1.414 25 12.5

CE 3.606 100 50

DE 4.123 225 112.5

Distncias

A B C D E

y= 15.566 *X A 0 2 2.236 3 5.657

B 2 0 2.236 3.606 4.472

C 2.236 2.236 0 1.414 3.606

D 3 3.606 1.414 0 4.123

E 5.657 4.472 3.606 4.123 0

Semivarincia Matriz

A B C D E

A 0 31.132 34.80558 46.698 88.056862

A, 100

B, 105

C, 105

D, 100

E, 115

F, ?

0

1

2

3

4

5

6

0 1 2 3 4 5 6

Pontos


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B 31.132 0 34.80558 56.130996 69.611152

C 34.80558 34.80558 0 22.010324 56.130996

D 46.698 56.131 22.01032 0 64.178618

E 88.05686 69.61115 56.131 64.178618 0

1 1 1 1 1

Inversa-0.02233 0.013094 0.006106 0.0057639 -0.002631434

0.013094 -0.02295 0.009415 -0.0040903 0.004532848

0.006106 0.009415 -0.03977 0.0197369 0.004507778

0.005764 -0.00409 0.019737 -0.0251703 0.003759727

-0.00263 0.004533 0.004508 0.0037597 -0.010168919

0.342384 0.178702 -0.22766 0.2847172 0.421858922

Distncia emivariancia

AF 1 15.566BF 1 15.566

CF 2 31.132

DF 3.162278 49.22401

EF 5 77.83

1

Pesos Valor Produto Varincia

AF 0.467586 100 46.758601 7.278443773

BF 0.469821 105 49.331218 7.313235602

CF 0.098323 105 10.323942 3.060999578DF -0.02114 100 -2.1144764 -1.040830147

EF -0.01459 115 -1.6773464 -1.135198862

F -0.21089 ? 102.6219 -0.210886564

15.26576338


3/16

LAG 1 Distncia Diff^2 Semivariancia LAG Distncia

CD 1.414 25 12.5 1 1.707

AB 2 25 12.5 2 2.491

Mdia 1.707 25 12.5 3 3.606

AC 2.236 25 12.5 4 4.298

BC 2.236 0 0 5 5.657

AD 3 0 0

Mdia 2.491 8.333 4.167

BD 3.606 25 12.5

CE 3.606 100 50

Mdia 3.606 62.5 31.25

DE 4.123 225 112.5

BE 4.472 100 50

Mdia 4.298 162.5 81.25

AE 5.657 225 112.5

Mdia 5.657 225 112.5

1

5

1

2

3

4

0

20

40

60

80

100

120

0

Semivarincia


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1

1

1

1

0

0.342383646

0.178701553

-0.227661345

0.284717224

0.421858922

-48.08275032

Erro Padro 95% (1.96)

3.907142611 7.657999517

94.96393806 102.6219376 110.2799371


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SemiVariana

12.5

4.167

31.25

81.25

112.5

1.707, 12.5

2.491, 4.167

3.606, 31.25

4.298, 81.25

5.657, 112.5

y = 15.566xR = 0.6771

1 2 3 4 5 6

Distncia

Modelo

Series1

Linear (Series1)


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Clculo Krigagem

Ponto X Y Z Distncia Diff^2 Semivariancia

A 1 5 100 AB 2 25 12.5

B 1 3 105 AC 2.236 25 12.5

C 3 4 105 AD 3 0 0

D 4 5 100 AE 5.657 225 112.5

E 5 1 115 BC 2.236 0 0

F 1 4 ? BD 3.606 25 12.5

BE 4.472 100 50

CD 1.414 25 12.5

CE 3.606 100 50

DE 4.123 225 112.5

Distncias

A B C D E

A 0 2 2.236 3 5.657

B 2 0 2.236 3.606 4.472

C 2.236 2.236 0 1.414 3.606

D 3 3.606 1.414 0 4.123

E 5.657 4.472 3.606 4.123 0

y= 4.5999 *X -5.2013 *X

Semivarincia Matriz

A B C D E

A 0 7.997 11.36799483 25.7952 117.7806311

A, 100

B, 105

C, 105

D, 100

E, 115

F, ?

0

1

2

3

4

5

6

0 1 2 3 4 5 6

Pontos


7/16

B 7.997 0 11.36799483 41.057697 68.73219292

C 11.36799 11.36799 0 1.8423835 41.05769748

D 25.7952 41.0577 1.84238346 0 56.74933359

E 117.7806 68.73219 41.05769748 56.749334 0

1 1 1 1 1

Inversa0.049681 -0.03931 -0.016173361 -0.0221906 0.027992299

-0.03931 0.032586 -0.028278613 0.0511852 -0.016182699

-0.01617 -0.02828 0.118688017 -0.0581234 -0.016112683

-0.02219 0.051185 -0.05812336 0.03134 -0.002211256

0.027992 -0.01618 -0.016112683 -0.0022113 0.006514339

-1.22632 0.646558 2.273964995 -0.2965614 -0.397641261

Distncia Semivariancia

AF 1 -0.6014BF 1 -0.6014

CF 2 7.997

DF 3.162278 29.55104521

EF 5 88.991

1

Pesos Valor Produto

0.473411 100 47.341055

0.496919 105 52.176477

0.098357 105 10.327448-0.04946 100 -4.9461983

-0.01922 115 -2.2107644

-2.15328 ? 102.6880

98.25187632 102.68802 107.1241573


8/16

LAG 1 Distncia Diff^2 Semivariancia LAG Distncia

CD 1.414 25 12.5 1 1.707

AB 2 25 12.5 2 2.491

Mdia 1.707 25 12.5 3 3.606

AC 2.236 25 12.5 4 4.298

BC 2.236 0 0 5 5.657

AD 3 0 0

Mdia 2.491 8.333 4.167

BD 3.606 25 12.5

CE 3.606 100 50

Mdia 3.606 62.5 31.25

DE 4.123 225 112.5

BE 4.472 100 50

Mdia 4.298 162.5 81.25

AE 5.657 225 112.5

Mdia 5.657 225 112.5

1

5

1

2

3

4

0

20

40

60

80

100

120

140

0

Semivarincia


9/16

1

1

1

1

0

-1.226320761

0.646558441

2.273964995

-0.296561414

-0.397641261

23.46334949

Varincia

-0.284709103

-0.298846981

0.786558129-1.46165329

-1.710766424

-2.153276578 Erro Padro 95% (1.96)

-5.122694246 2.26333697 4.436140464


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SemiVariana

12.5

4.167

31.25

81.25

112.5

1.707, 12.5

2.491, 4.167

3.606, 31.25

4.298, 81.25

5.657, 112.5

y = 4.5999x2- 5.2013xR = 0.9238

1 2 3 4 5 6

Distncia

Modelo

Series1

Poly. (Series1)


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RESUMO DOS RESULTADOS

Estatstica de regresso

R mltiplo 0.9283926

R-Quadrado 0.861912819

R-quadrado ajustado 0.611912819

Erro padro 26.5428034Observaes 5

ANOVA

gl SQ MQ F F de significao

Regresso 1 17589.90724 17589.90724 24.96720738 0.015420152

Resduo 4 2818.081649 704.5204123

Total 5 20407.98889

Coeficientes Erro padro Stat t valor-P 95% inferiores

Interseo 0 #N/A #N/A #N/A #N/AVarivel X 1 15.56587638 3.11521907 4.996719662 0.007507842 6.916641641

RESULTADOS DE RESDUOS

Observao Y previsto Resduos

1 26.57095098 -14.07095098

2 38.77459806 -34.60759806

3 56.13055023 -24.88055023

4 66.90213668 14.347863325 88.05616268 24.44383732


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95% superiores Inferior 95.0% Superior 95.0%

#N/A #N/A #N/A24.21511112 6.916641641 24.21511112

0

20

40

60

80

100

120

0 1 2

Y

Vari

Varivel X 1 Pl


13/16

y = 15.566xR = 1

3 4 5 6

vel X 1

tagem de ajuste de linha

Y

Y previsto

Linear (Y previsto)


14/16

X0 100 100 ???

X1 100 150 30

X2 150 200 42

X3 250 100 38

X4 50 50 27

Modelo Esfrico

Xij= C1 + C0 - (h)

C1 = 20

C0 = 2

a = 200

(h) (h) (h) Xij

X1X0 50.000 9.344 12.656

X2X0 111.803 17.024 4.976

X3X0 150.000 20.281 1.719

X4X0 70.711 12.165 9.835

X1X2 70.711 12.165 9.835

X1X3 158.114 20.776 1.224 Matriz Gama

X1X4 111.803 17.024 4.976

X2X3 141.421 19.678 2.322 X1 X2 X3 X4

X2X4 180.278 21.718 0.282 X1 22.000 9.835 1.224 4.976

X3X4 206.155 22.000 0.000 X2 9.835 22.000 2.322 0.282

X1X1 0.000 0.000 22.000 X3 1.224 2.322 22.000 0.000

X2X2 0.000 0.000 22.000 X4 4.976 0.282 0.000 22.000

X3X3 0.000 0.000 22.000 1 1 1 1

X4X4 0.000 0.000 22.000

Inversa

0.057544 -0.03154 -0.00663 -0.01937-0.03154 0.050287 -0.0144 -0.00435

-0.00663 -0.0144 0.033344 -0.01231

-0.01937 -0.00435 -0.01231 0.036041

0.14874 0.238529 0.30799 0.304741

Z(X0) =

23.80135


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1

1

1

1

0

Vetor g Varincia

0.14874 12.656 0.518147 6.5578040.238529 4.976 0.022067 0.109817

0.30799 1.719 0.08859 0.152265

0.304741 9.835 0.371195 3.650826

-7.51178 1 -0.91569 -0.91569

9.555024

95%

29.85995 3.09112 6.058595

29.85995 35.91854

100, 100

100, 150

150, 20

50, 50

0

50

100

150

200

250

0 50 100 150


16/16

11.399

0.217

0.1081.847

12.656

250, 100

200 250 300

Series1

Documents

Cálculo Krigagem