analisis estadistico de vertederos

D1(mm) 4t(s) s(cm) n

0 0 1 0.74 5 3.70 0.5480.74 5 2 1.55 10 15.50 2.4031.55 10 3 2.25 15 33.75 5.0632.25 15 4 2.95 20 59.00 8.7032.95 20 5 3.67 25 91.75 13.4693.67 25 6 4.44 30 133.20 19.7144.44 30 7 5.16 35 180.60 26.6265.16 35 8 5.27 40 210.80 27.7735.27 40 9 5.96 45 268.20 35.5225.96 45 10 6.9 50 345.00 47.610

6.9 50 11 7.67 55 421.85 58.8297.67 55 12 9.11 60 546.60 82.9929.11 60 Σ 55.67 390 2309.95 329.249

Análisis estadístico4.639

Bandas de confianza 32.500Tiempo (s) Sx 2.540

4.999 2.427 7.571 0.74 1.333 Sy 18.02810.712 8.501 12.922 1.55 0.984 -0.22115.649 13.722 17.576 2.25 0.748 7.05320.586 18.900 22.272 2.95 0.573 Sxy 45.51625.664 24.162 27.167 3.67 0.455 0.987831.095 29.687 32.504 4.44 0.400 4.76536.174 34.740 37.607 5.16 0.414 0.06236.949 35.503 38.396 5.27 0.422 1.72141.816 40.234 43.398 5.96 0.50448.446 46.567 50.325 6.9 0.712 Viscosidad (gr/cm*s)53.877 51.691 56.062 7.67 0.962 8.16064.033 61.191 66.875 9.11 1.627 Error Relativo

45.60%

Propagación del error Error Aleatorio Error sistemático

0.08 0.016.50 7.61 Incertidumbre para Velocidad Limite

0.08Incertidumbre para Viscosidad Dinámica

0.3

Valores Centrales

Límite inferior (cm)

Límite superior

(cm)

Intervalo de confianza para β

Intervalo de confianza para α

〖 (𝑥_𝑖−𝑥 ̅�)〗^2〖𝑥 _𝑖〗^2𝑥_𝑖 𝑦_𝑖𝑦_𝑖𝑥_𝑖

𝜶 ̅�〖𝒓 ^𝟐〗_𝑿𝒀𝜷 ̅�

𝑺^𝟐〖𝑺 ^𝟐〗_𝑩〖𝑺 ^𝟐〗_𝑨

〖 S^2〗 _(YX_0 )

𝜇

𝒙 ̅�𝒚 ̅�

6,50 7,61


-3.14 2.70

Bandas de confianza

Tiempo (s)

4.999 2.427 7.571 0.74 2.572 D= 4mm10.712 8.501 12.922 1.55 2.210 t(s) s(cm)15.649 13.722 17.576 2.25 1.927 0.74 520.586 18.900 22.272 2.95 1.686 1.55 1025.664 24.162 27.167 3.67 1.503 2.25 1531.095 29.687 32.504 4.44 1.408 2.95 2036.174 34.740 37.607 5.16 1.433 3.67 2536.949 35.503 38.396 5.27 1.447 4.44 3041.816 40.234 43.398 5.96 1.582 5.16 3548.446 46.567 50.325 6.9 1.879 5.27 4053.877 51.691 56.062 7.67 2.186 5.96 4564.033 61.191 66.875 9.11 2.842 6.9 50

7.67 559.11 60

Valores Centrales


Límite superior

(cm)

Distancia a los valores

centrales(cm)

Re 0.21315.204 756 D 433.942

9.543 506 177.2995.708 3062.853 1560.939 560.040 60.271 60.398 561.745 1565.111 3069.186 506

19.988 75670.986 3575

500.675


〖 (𝑥_𝑖−𝑥 ̅�)〗^2〖 (𝑦_𝑖−𝑦 ̅�)〗^2〖𝑥 _𝑖〗^2

0 1 2 3 4 5 6 7 8 9 100.000

10.000

20.000

30.000

40.000

50.000

60.000

70.000

80.000

f(x) = 7.05312234580503 x − 0.2206100825805R² = 0.987782386149911

Distancia vs Tiempo

Limite InferiorLímite SuperiorDistanciaLinear (Distancia)

Tiempo (s)

Dist

ancia

(cm

)

𝜋_1

6,50 7,61


-3.14 2.70


0 1 2 3 4 5 6 7 8 9 100.000

10.000

20.000

30.000

40.000

50.000

60.000

70.000

80.000

f(x) = 7.05312234580503 x − 0.2206100825805R² = 0.987782386149911

Distancia vs Tiempo


Tiempo (s)

Dist

ancia

(cm

)


0 0 1 1.01 5 5.05 1.0201.01 5 2 2.17 10 21.70 4.7092.17 10 3 3.36 15 50.40 11.2903.36 15 4 4.52 20 90.40 20.4304.52 20 5 5.6 25 140.00 31.360

5.6 25 6 6.7 30 201.00 44.8906.7 30 7 7.96 35 278.60 63.362

7.96 35 8 9.04 40 361.60 81.7229.04 40 9 10.24 45 460.80 104.858

10.24 45 10 11.4 50 570.00 129.96011.4 50 11 12.63 55 694.65 159.517

12.63 55 12 13.65 60 819.00 186.32313.65 60 13 15.59 65 1013.35 243.04815.59 65 Σ 103.87 455 4706.55 1082.487

Bandas de confianza 7.990

Tiempo (s)35.000

5.399 4.554 6.244 1.01 0.147 Sx 4.58810.318 9.568 11.068 2.17 0.116 Sy 19.47215.365 14.705 16.024 3.36 0.090 1.115420.284 19.702 20.866 4.52 0.070 4.240924.864 24.341 25.388 5.6 0.057 Sxy 89.25829.529 29.047 30.011 6.7 0.048 0.99834.873 34.409 35.337 7.96 0.044 0.76039.453 38.977 39.929 9.04 0.047 0.00344.542 44.025 45.059 10.24 0.055 0.25649.461 48.883 50.040 11.4 0.06954.678 54.018 55.338 12.63 0.090 Viscosidad (gr/cm*s)59.003 58.266 59.740 13.65 0.112 8.68567.231 66.333 68.129 15.59 0.166 Error Relativo

42.10%




0.003 2.228 0.4

Valores Centrales


Límite superior

(cm)



〖 (𝑥_𝑖−𝑥 ̅�)〗^2〖𝑥 _𝑖〗^2𝑥_𝑖 𝑦_𝑖𝑦_𝑖𝑥_𝑖

𝛼 ̅�〖𝑟 ^2〗 _𝑋𝑌

𝛽 ̅�𝑆^2

〖𝑆 ^2〗 _𝐵〖𝑆 ^2〗 _𝐴

〖 S^2〗 _(YX_0 )

𝜇

Bandas de confianza

Tiempo (s)

5.399 4.554 6.244 1.01 0.845 D= 3,2mm10.318 9.568 11.068 2.17 0.750 t(s) s(cm)15.365 14.705 16.024 3.36 0.659 1.01 520.284 19.702 20.866 4.52 0.582 2.17 1024.864 24.341 25.388 5.60 0.523 3.36 1529.529 29.047 30.011 6.70 0.482 4.52 2034.873 34.409 35.337 7.96 0.464 5.6 2539.453 38.977 39.929 9.04 0.476 6.7 3044.542 44.025 45.059 10.24 0.517 7.96 3549.461 48.883 50.040 11.40 0.578 9.04 4054.678 54.018 55.338 12.63 0.660 10.24 4559.003 58.266 59.740 13.65 0.737 11.4 5067.231 66.333 68.129 15.59 0.898 12.63 55

13.65 6015.59 65

Valores Centrales


Límite superior

(cm)


centrales(cm)

Re 0.09648.720 900 D 222.16733.872 625 392.30021.437 40012.041 225

5.712 1001.664 250.001 01.102 255.063 100

11.628 22521.530 40032.036 62557.760 900

252.566 4550

4.12 4.36

0.030 2.228



〖 (𝑥_𝑖−𝑥 ̅�)〗^2〖 (𝑦_𝑖−𝑦 ̅�)〗^2〖𝑥 _𝑖〗^2

0 2 4 6 8 10 12 14 16 180.000

10.000

20.000

30.000

40.000

50.000

60.000

70.000

80.000

f(x) = 4.24087169294363 x + 1.11543517338043R² = 0.998329158310312

Distancia vs Tiempo


Tiempo (s)

Dist

ancia

(cm

)

0 2 4 6 8 10 12 14 16 180.000

10.000

20.000

30.000

40.000

50.000

60.000

70.000

80.000

f(x) = 4.24087169294363 x + 1.11543517338043R² = 0.998329158310312

Distancia vs Tiempo


Tiempo (s)

Dist

ancia

(cm

)


0 0 1 1.82 5 9.10 3.3121.82 5 2 3.78 10 37.80 14.2883.78 10 3 5.62 15 84.30 31.5845.62 15 4 7.53 20 150.60 56.7017.53 20 5 9.47 25 236.75 89.6819.47 25 6 11.39 30 341.70 129.732

11.39 30 7 13.32 35 466.20 177.42213.32 35 8 15.25 40 610.00 232.56315.25 40 9 17.15 45 771.75 294.12217.15 45 10 19.2 50 960.00 368.640

19.2 50 11 21.23 55 1167.65 450.71321.23 55 12 23.24 60 1394.40 540.09823.24 60 13 26.54 65 1725.10 704.37226.54 65 Σ 175.54 455 7955.35 3093.229

Bandas de confianza 13.503

Tiempo (s)35.000

5.724 4.728 6.721 1.82 0.205 Sx 7.76210.636 9.752 11.520 3.78 0.161 Sy 19.47215.246 14.460 16.033 5.62 0.128 1.163820.033 19.337 20.728 7.53 0.100 2.505824.894 24.272 25.515 9.47 0.080 Sxy 150.95429.705 29.133 30.277 11.39 0.067 0.99834.541 33.990 35.093 13.32 0.063 0.90339.377 38.812 39.943 15.25 0.066 0.00144.139 43.529 44.748 17.15 0.077 0.30349.275 48.591 49.960 19.2 0.09754.362 53.584 55.140 21.23 0.125 Viscosidad (gr/cm*s)59.399 58.514 60.284 23.24 0.162 8.26867.668 66.590 68.746 26.54 0.240 Error Relativo

44.88%




-0.048 2.376 0.5

Valores Centrales


Límite superior

(cm)



〖 (𝑥_𝑖−𝑥 ̅�)〗^2〖𝑥 _𝑖〗^2𝑥_𝑖 𝑦_𝑖𝑦_𝑖𝑥_𝑖

𝛼 ̅�〖𝑟 ^2〗 _𝑋𝑌

𝛽 ̅�𝑆^2

〖𝑆 ^2〗 _𝐵〖𝑆 ^2〗 _𝐴

〖 S^2〗 _(YX_0 )

𝜇

Bandas de confianza

Tiempo (s)

5.724 4.728 6.721 1.82 0.997 D= 2,4mm10.636 9.752 11.520 3.78 0.884 t(s) s(cm)15.246 14.460 16.033 5.62 0.786 1.82 520.033 19.337 20.728 7.53 0.696 3.78 1024.894 24.272 25.515 9.47 0.621 5.62 1529.705 29.133 30.277 11.39 0.572 7.53 2034.541 33.990 35.093 13.32 0.552 9.47 2539.377 38.812 39.943 15.25 0.565 11.39 3044.139 43.529 44.748 17.15 0.609 13.32 3549.275 48.591 49.960 19.20 0.684 15.25 4054.362 53.584 55.140 21.23 0.778 17.15 4559.399 58.514 60.284 23.24 0.885 19.2 5067.668 66.590 68.746 26.54 1.078 21.23 55

23.24 6026.54 65

Valores Centrales


Límite superior

(cm)


centrales(cm)

136.494 900 Re 0.04594.538 625 D 93.72662.143 400 842.75035.678 22516.266 100

4.465 250.034 03.052 25

13.300 10032.455 22559.705 40094.808 625

169.961 900722.898 4550

2.43 2.58 -0.048 2.376



〖 (𝑥_𝑖−𝑥 ̅�)〗^2〖 (𝑦_𝑖−𝑦 ̅�)〗^2〖𝑥 _𝑖〗^2

0 5 10 15 20 25 300.000

10.000

20.000

30.000

40.000

50.000

60.000

70.000

80.000

f(x) = 2.50581521171576 x + 1.16378444118581R² = 0.99761735500275

Distancia vs Tiempo


Tiempo (s)

Dist

ancia

(cm

)

0 5 10 15 20 25 300.000

10.000

20.000

30.000

40.000

50.000

60.000

70.000

80.000

f(x) = 2.50581521171576 x + 1.16378444118581R² = 0.99761735500275

Distancia vs Tiempo


Tiempo (s)

Dist

ancia

(cm

)

Diámetro(mm) Re4 177.299 0.213

3.2 392.300 0.0962.4 842.750 0.045

(gr/cm*s)Observado Teórico

4 8.160 15 45.60%3.2 8.685 15 42.10%2.4 8.268 15 44.88%

Diámetro (mm)

Error relativo

𝛑_𝟏

0.000 0.050 0.100 0.150 0.200 0.2500.000

100.000200.000300.000400.000500.000600.000700.000800.000900.000

f(x) = 41243.9765539918 x² − 14578.1548872204 x + 1412.34861332006R² = 1

π1 vs Re

π1 Polynomial (π1)

Re

π1

𝝁

0.000 0.050 0.100 0.150 0.200 0.2500.000

100.000200.000300.000400.000500.000600.000700.000800.000900.000

f(x) = 41243.9765539918 x² − 14578.1548872204 x + 1412.34861332006R² = 1

π1 vs Re

π1 Polynomial (π1)

Re

π1

analisis estadistico de vertederos

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