Trabajo Colaborativo Probabilidad-3 PDF

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TRABAJO COLABORATIVOPROBABILIDADDISTRIBUCIÓN DE PROBABILIDAD DE WEIBULLLEIDY TATIANA CAMACHO NINCOSANDRA MILENA FOREROJOHANY ASDRUBAL CASTRO PRECIADOPANIAGUA VARGAS JHON E.INSTRUCTOR: HENRRY RODRIGUEZINSTITUCIÓN UNIVERSITARIA POLITÉCNICO GRANCOLOMBIANOFACULTAD DE INGENIERÍA, DISEÑO E INNOVACIÓNINGEN...

Description

TRABAJO COLABORATIVO

PROBABILIDAD

DISTRIBUCIÓN DE PROBABILIDAD DE WEIBULL

LEIDY TATIANA CAMACHO NINCO SANDRA MILENA FORERO JOHANY ASDRUBAL CASTRO PRECIADO PANIAGUA VARGAS JHON E.

INSTRUCTOR: HENRRY RODRIGUEZ

INSTITUCIÓN UNIVERSITARIA POLITÉCNICO GRANCOLOMBIANO FACULTAD DE INGENIERÍA, DISEÑO E INNOVACIÓN INGENIERÍA INDUSTRIAL 2021

INDICE Objetivos ................................................................................................................................... 3 Ecuaciones ..................................................................................................................................... 4 Actividades ..................................................................................................................................... 5 Semana 3 actividad 1 ......................................................................................................5 ............................................................................................................................. ...................

7

TABLA DATOS #1 .............................................................................................................. 9 TABLA DATOS #2 .............................................................................................................11 Semana 4 actividad 2 .................................................................................................... 14 Semana 5 Actividad 3 ................................................................................................... 15 TABLA DE DATOS #3 .......................................................................................................17 TABLA DE DATOS #4................................................................................................... 19 Conclusiones ................................................................................................................................ 21 Bibliografía ......................................................................................................................... 22

Objetivos •

Aplicar el método Weibull para analizar los datos

•

Calcular los valores máximos de la velocidad del viento entre las ciudades de Neiva y Santa María para determinar la viabilidad del uso de turbinas eólicas para generar energía.

•

Ampliar el uso de Excel y r studio como herramientas de análisis estadístico.

•

Identificar la velocidad promedio de Neiva y Santa María.

Ecuaciones

Actividades

Semana 3 actividad 1 1

El grupo debe seleccionar 2 departamentos o ciudades y realizar, para cada departamento o ciudad, un histograma de las variables velocidad del viento y temperatura. ¿Cuál ciudad o departamento presenta mayor variabilidad? Es necesario justificar la selección de los lugares escogidos. También es necesario justificar por qué escogieron departamentos o ciudades.

Se ha seleccionado el departamento del Huila, tomando la población de datos correspondientes a la ciudad de Santa María y Neiva.

Histograma 1

Histograma 2

Histograma 3

Histograma 4

Se seleccionaron por tener conocimiento de causa de cada uno de los municipios, y así poder analizar de forma estadística los datos colectados de los fenómenos atmosféricos. En términos generales, es menor la cantidad de información de ciudades ya que al tratar de analizar departamentos tienen mayor cantidad de datos. 2

Para cada ciudad o departamento, calcular los parámetros 𝑘 y 𝑐 de la distribución de Weibull; para hacer estos cálculos use las ecuaciones 3 y 4 descritas arriba y sustituya los valores obtenidos en la función de densidad de probabilidad, 𝑓(𝑣) (ecuación 1).

* Cafculamos k para Neiva

-1.09

2.6 K = (0.294)—*= 3.797 ”Catculamos C para neiva

c= REMPLAZAMOS

2.6

c —— C-

i ! + 3.797 2.6 r(1.263)

C= 2.B8 "Calculamos T(v) remplazamos can fos datos que tenemas

k ))v) — —

c

—

c

RElvtPLAZAMOS

' e —

3.797

2.6

2.88

2.88

7

37

1

’*

e —

2.6 *.79 7

9.872 *-7 2.88

c

“

2.88

f 6 -(3.428)'””‹/ -(0.90)”9 ’7]

/(x)= 31.36 e[-1.822]

/.88)

”

TABLA DATOS #1 Neiva 2.9 3.1 3.2 3.3 3.5 3.6 3.5 3.3 3.2 3.1 3.1 2.7 2.3 2.0 1.6 1.4 1.3 1.1 1.4 1.7 2.0 2.4 2.7 3.0 3.0 3.0 3.0 2.5 2.4 3.0 2.9 2.8 2.7 2.5 2.4 2.5 2.3 2.1 2.0 1.8 1.6 1.4 1.6 1.8 2.0 2.1 5.0 2.6 2.6 3.5 3.4 3.3 3.2 3.2 3.0 2.9 2.7 2.5

VELOCIDAD DEL VIENTO (v/c)^k-1 exponencial F(V) Santa maria 0.010080308 0.021964187 0.00029152 3.8 0.302141909 0.016879154 0.00671488 3.7 0.469495383 0.014796821 0.00914696 3.6 0.652198359 0.01297138 0.01113891 3.5 1.067187429 0.009968314 0.01400681 3.5 1.301295153 0.008738552 0.01497242 3.3 1.067187429 0.009968314 0.01400681 3.2 0.652198359 0.01297138 0.01113891 3.1 0.469495383 0.014796821 0.00914696 3.0 0.302141909 0.016879154 0.00671488 3.0 0.302141909 0.016879154 0.00671488 3.0 -0.230571506 0.028581144 -0.00867685 2.9 -0.582194806 0.048395899 -0.03709827 2.4 -0.754631779 0.071838172 -0.07137846 2.0 -0.895104704 0.121642186 -0.14336227 1.5 -0.936918016 0.158288254 -0.19526621 1.3 -0.952429639 0.1805639 -0.22643349 1.2 -0.974820806 0.234960793 -0.30157617 1.0 -0.936918016 0.158288254 -0.19526621 1.6 -0.867862988 0.106635542 -0.12185125 2.1 -0.754631779 0.071838172 -0.07137846 2.7 -0.508680311 0.042425437 -0.02841503 3.3 -0.230571506 0.028581144 -0.00867685 3.8 0.149281637 0.019254529 0.00378457 4.3 0.149281637 0.019254529 0.00378457 4.1 0.149281637 0.019254529 0.00378457 3.8 0.149281637 0.019254529 0.00378457 3.6 -0.42604134 0.037191534 -0.0208628 2.8 -0.508680311 0.042425437 -0.02841503 2.5 0.149281637 0.019254529 0.00378457 3.0 0.010080308 0.021964187 0.00029152 2.9 -0.116274156 0.025055171 -0.00383581 2.7 -0.230571506 0.028581144 -0.00867685 2.6 -0.42604134 0.037191534 -0.0208628 2.4 -0.508680311 0.042425437 -0.02841503 2.3 -0.42604134 0.037191534 -0.0208628 2.7 -0.582194806 0.048395899 -0.03709827 2.5 -0.704529928 0.062975704 -0.05841835 2.2 -0.754631779 0.071838172 -0.07137846 2.0 -0.835729299 0.093480224 -0.10286371 1.8 -0.895104704 0.121642186 -0.14336227 1.5 -0.936918016 0.158288254 -0.19526621 1.3 -0.895104704 0.121642186 -0.14336227 1.7 -0.835729299 0.093480224 -0.10286371 2.0 -0.754631779 0.071838172 -0.07137846 2.4 -0.704529928 0.062975704 -0.05841835 2.8 7.040680852 0.00138321 0.01282271 3.1 -0.33357902 0.032603322 -0.01431981 3.4 -0.33357902 0.032603322 -0.01431981 3.3 1.067187429 0.009968314 0.01400681 4.1 0.851129046 0.011371139 0.01274313 3.8 0.652198359 0.01297138 0.01113891 3.5 0.469495383 0.014796821 0.00914696 3.3 0.469495383 0.014796821 0.00914696 3.2 0.149281637 0.019254529 0.00378457 3.1 0.010080308 0.021964187 0.00029152 2.9 -0.230571506 0.028581144 -0.00867685 2.8 -0.42604134 0.037191534 -0.0208628 2.6

(v/c)^k-1 exponencial 2.0027757 0.00406267 1.680941649 0.0046961 1.386177495 0.0054283 1.116864327 0.00627465 1.116864327 0.00627465 0.648391399 0.00838381 0.446268729 0.00969098 0.263670418 0.01120195 0.09925005 0.01294851 0.09925005 0.01294851 0.09925005 0.01294851 -0.04828554 0.01496738 -0.57428031 0.030887 -0.80388199 0.05514165 -0.94227124 0.11379151 -0.96858073 0.1520414 -0.97764269 0.17574698 -0.98970057 0.2348226 -0.92404704 0.09844277 -0.75867906 0.04770389 -0.29761135 0.01999851 0.648391399 0.00838381 2.0027757 0.00406267 4.078574424 0.00196871 3.147723734 0.00263047 2.0027757 0.00406267 1.386177495 0.0054283 -0.18017668 0.01730102 -0.49360403 0.02672082 0.09925005 0.01294851 -0.04828554 0.01496738 -0.29761135 0.01999851 -0.40172559 0.02311659 -0.57428031 0.030887 -0.64473764 0.03570276 -0.29761135 0.01999851 -0.49360403 0.02672082 -0.70590927 0.04126936 -0.80388199 0.05514165 -0.87468632 0.07367698 -0.94227124 0.11379151 -0.96858073 0.1520414 -0.90171861 0.08516435 -0.80388199 0.05514165 -0.57428031 0.030887 -0.18017668 0.01730102 0.263670418 0.01120195 0.871438532 0.00725297 0.648391399 0.00838381 3.147723734 0.00263047 2.0027757 0.00406267 1.116864327 0.00627465 0.648391399 0.00838381 0.446268729 0.00969098 0.263670418 0.01120195 -0.04828554 0.01496738 -0.18017668 0.01730102 -0.40172559 0.02311659

F(V) 0.01178935 0.01143763 0.01090256 0.01015397 0.01015397 0.00787635 0.00626628 0.00427958 0.00186207 0.00186207 0.00186207 -0.00104715 -0.02570074 -0.06422705 -0.1553573 -0.21337502 -0.24895103 -0.33673604 -0.13180255 -0.05243941 -0.00862369 0.00787635 0.01178935 0.01163418 0.01199709 0.01178935 0.01090256 -0.00451665 -0.0191106 0.00186207 -0.00104715 -0.00862369 -0.01345548 -0.02570074 -0.03335268 -0.00862369 -0.0191106 -0.0422107 -0.06422705 -0.09337488 -0.1553573 -0.21337502 -0.11126914 -0.06422705 -0.02570074 -0.00451665 0.00427958 0.00915795 0.00787635 0.01199709 0.01178935 0.01015397 0.00787635 0.00626628 0.00427958 -0.00104715 -0.00451665 -0.01345548

2.4 2.2 2.1 2.1 2.3 2.1 2.0 1.8 2.1 2.2 2.5 2.5 2.6 2.6 2.8 2.9 3.1 3.2 3.3 3.3 3.2 3.2 3.1 2.9 2.6 2.4 2.4 2.3 2.3 2.3 2.5 2.5 3.4 4.3 5.2 5.1 5.0 4.9 3.0 1.9 2.0 2.1 2.2 2.3 2.3 2.2 2.2 2.2 2.2 2.1 2.1 2.0 2.0 2.0 1.9 1.9 2.1 2.3 2.5 2.6

-0.508680311 0.042425437 -0.647260551 0.055206574 -0.704529928 0.062975704 -0.704529928 0.062975704 -0.582194806 0.048395899 -0.704529928 0.062975704 -0.754631779 0.071838172 -0.835729299 0.093480224 -0.704529928 0.062975704 -0.647260551 0.055206574 -0.42604134 0.037191534 -0.42604134 0.037191534 -0.33357902 0.032603322 -0.33357902 0.032603322 -0.116274156 0.025055171 0.010080308 0.021964187 0.302141909 0.016879154 0.469495383 0.014796821 0.652198359 0.01297138 0.652198359 0.01297138 0.469495383 0.014796821 0.469495383 0.014796821 0.302141909 0.016879154 0.010080308 0.021964187 -0.33357902 0.032603322 -0.508680311 0.042425437 -0.508680311 0.042425437 -0.582194806 0.048395899 -0.582194806 0.048395899 -0.582194806 0.048395899 -0.42604134 0.037191534 -0.42604134 0.037191534 0.851129046 0.011371139 3.527342453 0.003476673 8.336000633 0.001062977 7.670514114 0.001212568 7.040680852 0.00138321 6.445246789 0.001577867 0.149281637 0.019254529 -0.798171198 0.081947839 -0.754631779 0.071838172 -0.704529928 0.062975704 -0.647260551 0.055206574 -0.582194806 0.048395899 -0.582194806 0.048395899 -0.647260551 0.055206574 -0.647260551 0.055206574 -0.647260551 0.055206574 -0.647260551 0.055206574 -0.704529928 0.062975704 -0.704529928 0.062975704 -0.754631779 0.071838172 -0.754631779 0.071838172 -0.754631779 0.071838172 -0.798171198 0.081947839 -0.798171198 0.081947839 -0.704529928 0.062975704 -0.582194806 0.048395899 -0.42604134 0.037191534 -0.33357902 0.032603322

-0.02841503 -0.04704861 -0.05841835 -0.05841835 -0.03709827 -0.05841835 -0.07137846 -0.10286371 -0.05841835 -0.04704861 -0.0208628 -0.0208628 -0.01431981 -0.01431981 -0.00383581 0.00029152 0.00671488 0.00914696 0.01113891 0.01113891 0.00914696 0.00914696 0.00671488 0.00029152 -0.01431981 -0.02841503 -0.02841503 -0.03709827 -0.03709827 -0.03709827 -0.0208628 -0.0208628 0.01274313 0.01614687 0.01166698 0.01224637 0.01282271 0.01339019 0.00378457 -0.08612126 -0.07137846 -0.05841835 -0.04704861 -0.03709827 -0.03709827 -0.04704861 -0.04704861 -0.04704861 -0.04704861 -0.05841835 -0.05841835 -0.07137846 -0.07137846 -0.07137846 -0.08612126 -0.08612126 -0.05841835 -0.03709827 -0.0208628 -0.01431981

2.5 2.3 2.2 2.2 2.5 2.4 2.3 2.2 2.6 2.9 3.5 3.3 3.0 2.8 2.9 3.1 3.7 3.5 3.4 3.2 3.1 3.1 3.0 2.9 2.9 2.8 2.8 2.7 2.7 2.6 1.0 1.0 1.3 1.7 2.0 2.5 3.0 3.4 3.9 2.4 2.4 2.4 2.3 2.3 2.3 2.3 2.3 2.2 2.3 2.3 2.0 2.0 2.0 2.0 2.0 2.0 2.3 2.6 2.9 3.2

-0.49360403 -0.64473764 -0.70590927 -0.70590927 -0.49360403 -0.57428031 -0.64473764 -0.70590927 -0.40172559 -0.04828554 1.116864327 0.648391399 0.09925005 -0.18017668 -0.04828554 0.263670418 1.680941649 1.116864327 0.871438532 0.446268729 0.263670418 0.263670418 0.09925005 -0.04828554 -0.04828554 -0.18017668 -0.18017668 -0.29761135 -0.29761135 -0.40172559 -0.98970057 -0.98970057 -0.96858073 -0.90171861 -0.80388199 -0.49360403 0.09925005 0.871438532 2.353354236 -0.57428031 -0.57428031 -0.57428031 -0.64473764 -0.64473764 -0.64473764 -0.64473764 -0.64473764 -0.70590927 -0.64473764 -0.64473764 -0.80388199 -0.80388199 -0.80388199 -0.80388199 -0.80388199 -0.80388199 -0.64473764 -0.40172559 -0.04828554 0.446268729

0.02672082 0.03570276 0.04126936 0.04126936 0.02672082 0.030887 0.03570276 0.04126936 0.02311659 0.01496738 0.00627465 0.00838381 0.01294851 0.01730102 0.01496738 0.01120195 0.0046961 0.00627465 0.00725297 0.00969098 0.01120195 0.01120195 0.01294851 0.01496738 0.01496738 0.01730102 0.01730102 0.01999851 0.01999851 0.02311659 0.2348226 0.2348226 0.1520414 0.08516435 0.05514165 0.02672082 0.01294851 0.00725297 0.00351468 0.030887 0.030887 0.030887 0.03570276 0.03570276 0.03570276 0.03570276 0.03570276 0.04126936 0.03570276 0.03570276 0.05514165 0.05514165 0.05514165 0.05514165 0.05514165 0.05514165 0.03570276 0.02311659 0.01496738 0.00969098

-0.0191106 -0.03335268 -0.0422107 -0.0422107 -0.0191106 -0.02570074 -0.03335268 -0.0422107 -0.01345548 -0.00104715 0.01015397 0.00787635 0.00186207 -0.00451665 -0.00104715 0.00427958 0.01143763 0.01015397 0.00915795 0.00626628 0.00427958 0.00427958 0.00186207 -0.00104715 -0.00104715 -0.00451665 -0.00451665 -0.00862369 -0.00862369 -0.01345548 -0.33673604 -0.33673604 -0.21337502 -0.11126914 -0.06422705 -0.0191106 0.00186207 0.00915795 0.01198447 -0.02570074 -0.02570074 -0.02570074 -0.03335268 -0.03335268 -0.03335268 -0.03335268 -0.03335268 -0.0422107 -0.03335268 -0.03335268 -0.06422705 -0.06422705 -0.06422705 -0.06422705 -0.06422705 -0.06422705 -0.03335268 -0.01345548 -0.00104715 0.00626628

NEIVA Desviacion estandar k Promedio 2.6 k 3.80829893 1+1/k 1.26258443 gamma 0.90389702 c 2.89237238

SANTA MARÍA 0.7666416

Desviacion estadar k 0.70743296 Promedio 2.7 k 4.251085556 1+1/k 1.235234033 gamma 0.909571183 c 2.93395846

k/c

1.31666965

k/c

Vmp VmaxE

0.93104942 2.49351086

Vmp VmaxE

1.44892493 0.94466495 2.529362172

TABLA DATOS #2 Neiva 35.8 35.5 35.2 33.5 31.8 30.1 29.1 28.2 27.2 26.6 26 25.4 25 24.6 24.1 24.5 25 25.4 23.6 26.4 27.1 28.3 29.5 30.6 30.4 30.3 30.1 30.2 28.3 26.4 24.5 23.3 21.2 20.6 19.9

(v/c)^k-1 4.99836716 4.7795655 4.5669892 3.4739673 2.55484299 1.7890714 1.40251539 1.09131388 0.78311977 0.61586353 0.46100898 0.31789119 0.22868109 0.14421542 0.04502941 0.12381899 0.22868109 0.31789119 -0.04737142 0.56290066 0.75435364 1.12425945 1.55180123 1.99953194 1.91392479 1.87183646 1.7890714 1.83021991 1.12425945 0.56290066 0.12381899 -0.09969482 -0.40672173 -0.47736202 -0.55135445

exponencial 0.00132659 0.00140233 0.00148238 0.00203044 0.00278112 0.00380934 0.00458374 0.00541443 0.00651514 0.00728024 0.0081352 0.00909055 0.00978901 0.01054112 0.01156304 0.01073801 0.00978901 0.00909055 0.01268403 0.00755475 0.00663683 0.00531516 0.00425668 0.00347267 0.00360361 0.00367092 0.00380934 0.00373949 0.00531516 0.00755475 0.01073801 0.01340813 0.01977636 0.02209879 0.02515521

TEMPERATURA F(v) Santa Maria 0.00122709 25.7 0.00124036 25.5 0.00125286 25.4 0.00130535 23.6 0.00131491 21.9 0.00126121 20.1 0.00118971 19.4 0.00109349 18.6 0.0009442 17.9 0.00082974 17.4 0.00069405 17 0.00053479 16.5 0.00041427 16.4 0.00028133 16.2 9.6356E-05 16.1 0.00024605 16.3 0.00041427 16.6 0.00053479 16.8 -0.0001112 19.4 0.00078698 21.8 0.0009265 22.2 0.00110585 23 0.00122242 23.8 0.001285 24.6 0.00127637 24.5 0.00127161 24.3 0.00126121 24.1 0.00126657 24.5 0.00110585 22.8 0.00078698 21.2 0.00024605 19.4 -0.00024737 18.5 -0.00148852 16.7 -0.00195222 16.1 -0.00256668 15.5

(v/c)^k-1 6.29166133 5.87810931 5.67906526 2.85608274 1.20543938 0.16176677 -0.10860893 -0.34929274 -0.51148654 -0.60470322 -0.66777086 -0.73420734 -0.74601268 -0.76826769 -0.77874703 -0.75736112 -0.72192962 -0.69589313 -0.10860893 1.13127989 1.44149273 2.18097771 3.10711304 4.25827599 4.10061392 3.79753262 3.5101766 4.10061392 1.97998059 0.73003951 -0.10860893 -0.37498793 -0.70916366 -0.77874703 -0.83342163

exponencial 5.83286E-05 6.29262E-05 6.53592E-05 0.000129378 0.000246569 0.00048808 0.000636527 0.00086222 0.001124461 0.001359316 0.001582053 0.00191248 0.001986424 0.002143001 0.002225859 0.002063228 0.001841288 0.001706756 0.000636527 0.000256102 0.000220045 0.000162447 0.000119925 8.85336E-05 9.19567E-05 9.9205E-05 0.000107025 9.19567E-05 0.000175251 0.000321561 0.000636527 0.000895557 0.001772746 0.002225859 0.002794786

F(v) 0.00013922 0.00014032 0.00014081 0.00014018 0.00011275 2.9952E-05 -2.6226E-05 -0.00011425 -0.00021818 -0.00031182 -0.00040077 -0.00053267 -0.00056217 -0.00062457 -0.00065757 -0.00059278 -0.00050427 -0.00045057 -2.6226E-05 0.00010991 0.00012033 0.0001344 0.00014136 0.00014302 0.00014305 0.00014292 0.00014251 0.00014305 0.00013163 8.9054E-05 -2.6226E-05 -0.0001274 -0.00047691 -0.00065757 -0.00088361

14.3 14.4 14.5 14.6 14.7 14.8 16.9 17.5 18 16.6 17.1 32.3 18.7 18.2 20.2 19.6 18.9 18.2 18.2 18 17.8 17.5 17.3 17.1 16.8 17 17.1 17.6 17.7 17.8 18 18.9 21.1 22.8 22.3 21.7 21.1 20.6 20 24.6 22.6 20.6 18.6 18.2 17.9 17.5 17.7 17.9 18.1 18.1 18.1 18 18 25.4 25.8 27.1 28.5 29.8 31.1 32.4 33.6 20.5 18.1 17.8 17.6

-0.89572538 -0.89246683 -0.88913006 -0.88571376 -0.88221659 -0.87863721 -0.78195866 -0.74564383 -0.71195146 -0.79853899 -0.77033208 2.80836361 -0.65909807 -0.69754833 -0.52071071 -0.58046024 -0.64270186 -0.69754833 -0.69754833 -0.71195146 -0.72581822 -0.74564383 -0.75823164 -0.77033208 -0.7875984 -0.77620377 -0.77033208 -0.73916288 -0.73255493 -0.72581822 -0.71195146 -0.64270186 -0.41897975 -0.18193213 -0.25823482 -0.34239942 -0.41897975 -0.47736202 -0.54131352 0.14421542 -0.21314781 -0.47736202 -0.66707467 -0.69754833 -0.71895099 -0.74564383 -0.73255493 -0.71895099 -0.70481784 -0.70481784 -0.70481784 -0.71195146 -0.71195146 0.31789119 0.41203118 0.75435364 1.19135415 1.66839685 2.22207222 2.86070305 3.53324058 -0.48847242 -0.70481784 -0.72581822 -0.73916288

0.07090918 0.069609 0.06833267 0.06707973 0.06584977 0.06464236 0.04382675 0.03922085 0.03575459 0.04632873 0.04223429 0.00253533 0.03141033 0.03445543 0.0237967 0.02659127 0.03026902 0.03445543 0.03445543 0.03575459 0.03710273 0.03922085 0.04069969 0.04223429 0.04464536 0.04302315 0.04223429 0.0385017 0.03779574 0.03710273 0.03575459 0.03026902 0.02014575 0.014708 0.01613388 0.01802856 0.02014575 0.02209879 0.02469397 0.01054112 0.01526257 0.02209879 0.03199702 0.03445543 0.03642242 0.03922085 0.03779574 0.03642242 0.035099 0.035099 0.035099 0.03575459 0.03575459 0.00909055 0.00844194 0.00663683 0.00512203 0.0040268 0.00316577 0.00248884 0.00199321 0.02251156 0.035099 0.03710273 0.0385017

-0.0117541 -0.01149661 -0.01124361 -0.01099504 -0.01075082 -0.01051088 -0.00634213 -0.00541203 -0.0047108 -0.00684634 -0.00602082 0.00131765 -0.0038312 -0.00444779 -0.00229311 -0.00285643 -0.00360015 -0.00444779 -0.00444779 -0.0047108 -0.00498363 -0.00541203 -0.00571091 -0.00602082 -0.00650719 -0.00618002 -0.00602082 -0.00526662 -0.00512384 -0.00498363 -0.0047108 -0.00360015 -0.00156203 -0.00049519 -0.00077102 -0.00114237 -0.00156203 -0.00195222 -0.00247373 0.00028133 -0.00060203 -0.00195222 -0.00394999 -0.00444779 -0.00484596 -0.00541203 -0.00512384 -0.00484596 -0.00457808 -0.00457808 -0.00457808 -0.0047108 -0.0047108 0.00053479 0.0006437 0.0009265 0.00112926 0.00124329 0.00130181 0.0013176 0.00130328 -0.00203497 -0.00457808 -0.00498363 -0.00526662

13.4 13.6 13.7 13.9 14 14.2 16.3 16.8 17.3 15.8 16.3 20.3 18.9 18.2 20.9 19.9 18.9 18 17.6 17.3 17.1 16.8 16.5 16.2 15.9 16.1 16.2 16.9 16.9 17 17 18.2 20.5 22.4 22.1 21.8 21.4 20.7 20 24.1 22.1 20 18 17.6 17.2 16.8 16.9 17 17.2 17.2 17.2 17.1 17.1 15.4 16.2...