Actividad 2 Caso C&A
Stefania Astudillo Bello
2023-08-30
Enunciado
Maria comenzó como agente de bienes raíces en Cali hace 10 años. Después de laborar dos años para una empresa nacional, se traslado a Bogotá y trabajó para otra agencia de bienes raíces. Sus amigos y familiares la convencieron de que con su experiencia y conocimientos del negocio debía abrir su propia agencia. Terminó por adquirir la licencia de intermediario y al poco tiempo fundó su propia compañía, C&A (Casas y Apartamentos) en Cali. Santiago y Lina, dos vendedores de la empresa anterior aceptaron trabajar en la nueva compaña. En la actualidad ocho agentes de bienes raíces colaboran con ella en C&A.
Actualmente las ventas de bienes raíces en Cali se han visto disminuidas de manera significativa en lo corrido del año. Durante este periodo muchas instituciones bancarias de ahorro y vivienda están prestando grandes sumas de dinero para la industria y la construcción comercial y residencial. Cuando el efecto producto de las tensiones políticas y sociales disminuya, se espera que la actividad económica de este sector se reactive.
Hace dos días, María recibió una carta solicitando asesoría para la compra de dos viviendas por parte de una compañía internacional que desea ubicar a dos de sus empleados con sus familias en la ciudad. Las solicitudes incluyen las siguientes condiciones:
| Caracteristicas | Vivienda1 | Vivienda2 |
|---|---|---|
| Tipo | Casa | Apartamento |
| área construida | 200 | 300 |
| parqueaderos | 1 | 3 |
| baños | 2 | 3 |
| habitaciones | 4 | 5 |
| estrato | 4 o 5 | 5 o 6 |
| zona | Norte | Sur |
| crédito preaprobado | 350 millones | 850 millones |
Ayude a María a responder la solicitud, mediante técnicas modelación que usted conoce. Ella requiere le envíe un informe ejecutivo donde analice los dos casos y sus recomendaciones (Informe). Como soporte del informe debe anexar las estimaciones, validaciones y comparación de modelos requeridos (Anexos).
Pasos requeridos para la obtención de los resultados
Visualización de Dataset:
- Realice un filtro a la base de datos e incluya solo las ofertas de : base1: casas, de la zona norte de la ciudad. Presente los primeros 3 registros de las bases y algunas tablas que comprueben la consulta. (Adicional un mapa con los puntos de las bases. Discutir si todos los puntos se ubican en la zona correspondiente o se presentan valores en otras zonas, por que?).
Casas Zona Norte de la ciudad
Como observamos en el mapa existen puntos que no estan ubicados al norte de la ciudad de Cali, el motivo por el cual se visualiza de esta manera puede ser debido a que al momento de capturar la información existía una posible duda de la zona o se ingresó mal el valor, por lo tanto la variable zona no corresponde según las coordenadas de ubicación.
- Realice un análisis exploratorio de datos enfocado en la correlación entre la variable respuesta (precio de la casa) en función del área construida, estrato, numero de baños, numero de habitaciones y zona donde se ubica la vivienda. Use gráficos interactivos con el paquete plotly e interprete los resultados.
Para nuestro EDA de casas en zona norte se utilizarán las siguientes variables: preciom areaconst estrato banios habitaciones parqueadero
## id zona piso estrato
## Min. : 58.0 Length:722 Length:722 Min. :3.000
## 1st Qu.: 766.2 Class :character Class :character 1st Qu.:3.000
## Median :2257.0 Mode :character Mode :character Median :4.000
## Mean :2574.6 Mean :4.202
## 3rd Qu.:4225.0 3rd Qu.:5.000
## Max. :8319.0 Max. :6.000
## preciom areaconst parqueaderos banios
## Min. : 89.0 Min. : 30.0 Min. : 1.000 Min. : 1.000
## 1st Qu.: 261.2 1st Qu.: 140.0 1st Qu.: 2.000 1st Qu.: 2.000
## Median : 390.0 Median : 240.0 Median : 2.000 Median : 3.000
## Mean : 445.9 Mean : 264.9 Mean : 2.109 Mean : 3.597
## 3rd Qu.: 550.0 3rd Qu.: 336.8 3rd Qu.: 2.000 3rd Qu.: 4.000
## Max. :1940.0 Max. :1440.0 Max. :10.000 Max. :10.000
## habitaciones tipo barrio longitud
## Min. : 1.000 Length:722 Length:722 Min. :-76.59
## 1st Qu.: 3.000 Class :character Class :character 1st Qu.:-76.53
## Median : 4.000 Mode :character Mode :character Median :-76.52
## Mean : 4.618 Mean :-76.52
## 3rd Qu.: 5.000 3rd Qu.:-76.50
## Max. :10.000 Max. :-76.47
## latitud base base2
## Min. :3.333 Length:722 Length:722
## 1st Qu.:3.452 Class :character Class :character
## Median :3.468 Mode :character Mode :character
## Mean :3.460
## 3rd Qu.:3.482
## Max. :3.496Según los datos en la zona norte se cuenta con casas aproximadamente de estrato 4 con un promedio de 4 habitaciones, 3 banios, y un área de 265 m2 con un valor promedio de 445 millones de pesos
## TableGrob (3 x 2) "arrange": 6 grobs
## z cells name grob
## preciom 1 (1-1,1-1) arrange gtable[layout]
## areaconst 2 (1-1,2-2) arrange gtable[layout]
## estrato 3 (2-2,1-1) arrange gtable[layout]
## banios 4 (2-2,2-2) arrange gtable[layout]
## habitaciones 5 (3-3,1-1) arrange gtable[layout]
## parqueaderos 6 (3-3,2-2) arrange gtable[layout]Se puede evidenciar que la mayoría de casas de la zona Norte pertenecen a los estratos 3 y 5.
## preciom areaconst estrato banios habitaciones parqueaderos
## preciom 1.0000000 0.7313480 0.6123503 0.5585036 0.3691163 0.3033762
## areaconst 0.7313480 1.0000000 0.4573818 0.5029157 0.4386272 0.2586839
## estrato 0.6123503 0.4573818 1.0000000 0.4243331 0.1007058 0.2039056
## banios 0.5585036 0.5029157 0.4243331 1.0000000 0.5965030 0.3060827
## habitaciones 0.3691163 0.4386272 0.1007058 0.5965030 1.0000000 0.2081063
## parqueaderos 0.3033762 0.2586839 0.2039056 0.3060827 0.2081063 1.0000000
Correlacion
precio y habitaciones: Tienen una correlacion positiva mediana (0.369). Esto significa que hay una relación muy pareja entre mayor el precio mayor cantidad de habitaciones tendra el inmueble..
precio y baños: Tienen una correlación positiva medieanamente alta (0.559). es muy similar al caso al caso de la habitaciones, de que en mayor cantidad de baños mayor es el precio del inmueble.
precio y estrato: Tienen una correlación positiva medieanamente alta (0.612). Esto significa que a medida que aumenta el estrato de la vivienda, es más probable que aumente el precio de la vivienda.
preciom y areacost: Tienen una correlación positiva alta (0.731). Esto significa que hay una relación alta entre mayor es el area mayor el valor del inmueble.
Luego procedemos a revisar la correlacion que tienen las variables predictoras entre si:
areaconst y habiaciones: Tienen una correlacion positiva mediana (0.439). Esto significa que hay una relación muy pareja entre mayor el area contrida mayor cantidad de habitaciones tendra el inmueble.
areaconst y banios: Tienen una correlacion positiva mediana (0.503). Esto significa que hay una realacion muy parecida a la anterior de que mayor area constriuda, mayor cantidad de baños.
areaconst y estrato: Tienen una correlación positiva mediana (0.457). Esto significa que hay una relación positiva mediana entre el area construida y su estrato.
estrato y habitaciones: Tienen una correlación positiva débil (0.101). Esto significa que hay una relación muy pequena entre el estrato de la vivienda y el número de habitaciones, es decir que no importa el estrato y la cantidad de habitaciones.
estrato y banios: Tienen una correlación positiva mediana (0.424). Esto significa que hay una relación pareja entre estrato de la vivienda y el número de baños.
baños y habitaciones: Tienen una correlación positiva mediana (0.597). Esto significa que hay una relación moderada entre el número de baños y el número de habitaciones.
- Estime un modelo de regresión lineal múltiple con las variables del punto anterior (precio = f(área construida, estrato, número de cuartos, número de parqueaderos, número de baños ) ) e interprete los coeficientes si son estadísticamente significativos. Las interpretaciones deber están contextualizadas y discutir si los resultados son lógicos. Adicionalmente interprete el coeficiente R2 y discuta el ajuste del modelo e implicaciones (que podrían hacer para mejorarlo).
##
## Call:
## lm(formula = preciom ~ areaconst + estrato + habitaciones + banios +
## parqueaderos, data = vivienda_casasNorte)
##
## Residuals:
## Min 1Q Median 3Q Max
## -908.04 -79.05 -17.13 47.28 1081.83
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -265.20792 31.52601 -8.412 < 2e-16 ***
## areaconst 0.78432 0.04479 17.511 < 2e-16 ***
## estrato 84.83479 7.26454 11.678 < 2e-16 ***
## habitaciones 3.49389 4.68642 0.746 0.45619
## banios 27.19106 5.73872 4.738 2.6e-06 ***
## parqueaderos 15.62207 5.68931 2.746 0.00619 **
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 157.5 on 716 degrees of freedom
## Multiple R-squared: 0.6578, Adjusted R-squared: 0.6554
## F-statistic: 275.3 on 5 and 716 DF, p-value: < 2.2e-16## (Intercept) areaconst estrato habitaciones banios parqueaderos
## -265.2079240 0.7843193 84.8347949 3.4938871 27.1910622 15.6220703El modelo de regresión lineal se estima en: Precio = −265.2079240 + 0.7843193 * (areaconst) + 84.8347949 * (estrato) + 3.4938871 * (habitaciones) + 27.1910622 * (banios) + 15.6220703 * (parqueaderos)
El R2 es igual a 0.6578 lo cual quiere decir que hay un 66% de relación de las variables con el precio del inmueble.
- Realice la validación de supuestos del modelo e interprete los resultados (no es necesario corregir en caso de presentar problemas, solo realizar sugerencias de que se podría hacer).
Supuesto 1: El valor esperado de los errores es cero E[u]=0
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## -908.04 -79.05 -17.13 0.00 47.28 1081.83##
## One Sample t-test
##
## data: modelo_casa$residuals
## t = -3.6252e-16, df = 721, p-value = 1
## alternative hypothesis: true mean is not equal to 0
## 95 percent confidence interval:
## -11.46963 11.46963
## sample estimates:
## mean of x
## -2.11791e-15P valor=1>α=0.05 se tiene evidencia suficiente para no rechazar que Ho:ßo=0, por tanto el supuesto se cumple.
Supuesto 2 : Los errores tienen varianza constante. V[ui]=σ2
##
## Goldfeld-Quandt test
##
## data: modelo_casa
## GQ = 1.1107, df1 = 355, df2 = 355, p-value = 0.1615
## alternative hypothesis: variance increases from segment 1 to 2P valor=0.1615>α=0.05, se tiene evidencia suficiente para no rechazar la hipotesis nula, por tanto el supuesto se cumple.
Supuesto 3 : u es una variable con distribución normal. u∼Normal .
##
## Shapiro-Wilk normality test
##
## data: modelo_casa$residuals
## W = 0.83893, p-value < 2.2e-16Como P valor<α=0.05, se rechaza la hipótesis nula, quiere decir que, los errores no se distibuyen de forma normal, el supuesto no se cumple.
Supuesto 4 : Los errores son independientes unos de otros E[ui,uj]
##
## Durbin-Watson test
##
## data: modelo_casa
## DW = 1.6227, p-value = 1.543e-07
## alternative hypothesis: true autocorrelation is greater than 0Como P valor=1.543e-07<α=0.05, se rechaza la hipótesis nula, quiere decir que, los errores no son indepentientes, el supuesto no se cumple
- Con el modelo identificado debe predecir el precio de la vivienda con las características de la primera solicitud.
## fit lwr upr
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## 2 163.90063 -146.14494204 473.9462
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## 4 487.04385 176.18647376 797.9012
## 5 310.04064 -0.48698132 620.5683
## 6 334.87875 24.50121242 645.2563
## 7 211.02379 -98.95753429 521.0051
## 8 393.21067 83.17793687 703.2434
## 9 437.58566 127.17940200 747.9919
## 10 580.30638 270.22772847 890.3850
## 11 NA NA NA
## 12 552.85557 242.88298309 862.8282
## 13 560.20357 249.74291443 870.6642
## 14 413.27818 101.74899906 724.8074
## 15 341.47810 31.55987488 651.3963
## 16 504.55188 194.03538924 815.0684
## 17 405.49967 95.39638389 715.6030
## 18 282.13673 -27.66062830 591.9341
## 19 335.85887 25.47941151 646.2383
## 20 NA NA NA
## 21 132.52786 -177.52227636 442.5780
## 22 677.85110 367.19361670 988.5086
## 23 451.37861 140.08903695 762.6682
## 24 229.91177 -80.03629488 539.8598
## 25 395.14270 84.83760054 705.4478
## 26 476.47683 165.36307038 787.5906
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## 1375 429.25686 117.39032822 741.1234
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## 1378 718.70684 407.35195256 1030.0617
## 1379 534.78055 223.66784583 845.8933
## 1380 615.76124 305.24223345 926.2802
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## 1452 816.15145 505.46233690 1126.8406
## 1453 718.70684 407.35195256 1030.0617
## 1454 NA NA NA
## 1455 708.83512 398.39777311 1019.2725
## 1456 631.77603 320.50239419 943.0497
## 1457 723.50926 411.61575047 1035.4028
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## 1494 512.29540 201.43093650 823.1599
## 1495 736.51147 423.72512135 1049.2978
## 1496 NA NA NA
## 1497 763.54485 452.74604268 1074.3437
## 1498 566.67355 255.98200344 877.3651
## 1499 636.97004 325.83584945 948.1042
## 1500 511.93879 201.02740142 822.8502
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## 1574 458.04906 148.19288489 767.9052
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## 1600 406.57591 94.93234241 718.2195
## 1601 451.80632 140.68452137 762.9281
## 1602 NA NA NA
## 1603 389.38520 77.60268816 701.1677
## 1604 453.01835 141.78851167 764.2482
## 1605 614.71680 303.96267072 925.4709
## 1606 508.01720 197.08329268 818.9511
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## 1615 NA NA NA
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## 1618 396.44408 84.70467119 708.1835
## 1619 461.21815 150.15500206 772.2813
## 1620 NA NA NA
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## 1622 424.41946 113.02638254 735.8125
## 1623 453.37496 142.26318261 764.4867
## 1624 477.26115 166.15247541 788.3698
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## 1685 758.27942 447.33936771 1069.2195
## 1686 628.47116 317.91728807 939.0250
## 1687 NA NA NA
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## 1689 753.70214 443.07976192 1064.3245
## 1690 529.29031 218.13595414 840.4447
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## 1702 426.77242 115.39454061 738.1503
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## 1711 341.34910 30.99188815 651.7063
## 1712 350.76093 40.43901104 661.0829
## 1713 NA NA NA
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## 1715 500.17400 189.19321514 811.1548
## 1716 500.17400 189.19321514 811.1548
## 1717 828.47259 518.06432897 1138.8808
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## 1723 450.63358 140.54872439 760.7184
## 1724 511.93879 201.02740142 822.8502
## 1725 NA NA NA
## 1726 576.57745 264.98025821 888.1746
## 1727 864.00172 552.32087125 1175.6826
## 1728 608.50657 297.83561100 919.1775
## 1729 538.70215 227.61845472 849.7858
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## 1740 696.25383 385.69937908 1006.8083
## 1741 NA NA NA
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## 1743 660.83083 349.73534911 971.9263
## 1744 NA NA NA
## 1745 NA NA NA
## 1746 726.02583 415.18681553 1036.8648
## 1747 NA NA NA
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## 1749 730.73175 419.90066153 1041.5628
## 1750 625.10875 314.07333116 936.1442
## 1751 742.13314 431.86945258 1052.3968
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## 1753 734.45755 423.54337203 1045.3717
## 1754 712.00458 400.87232796 1023.1368
## 1755 NA NA NA
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## 1757 442.26618 132.36340402 752.1690
## 1758 537.92100 227.55023461 848.2918
## 1759 513.86404 203.01007388 824.7180
## 1760 1286.28713 972.10321740 1600.4710
## 1761 868.11911 555.04489278 1181.1933
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## 1763 575.40829 264.56612982 886.2505
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## 1787 608.86318 298.20789861 919.5185
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## 1789 533.73214 222.92446502 844.5398
## 1790 679.77919 367.37516973 992.1832
## 1791 804.98197 493.79935077 1116.1646
## 1792 445.59608 134.33178255 756.8604
## 1793 660.27164 349.77969932 970.7636
## 1794 735.66560 424.71199884 1046.6192
## 1795 481.61045 170.66212953 792.5588
## 1796 NA NA NA
## 1797 1181.32661 866.26796405 1496.3853
## 1798 924.74811 613.04551485 1236.4507
## 1799 496.25241 185.24724662 807.2576
## 1800 742.23642 430.95831546 1053.5145
## 1801 NA NA NA
## 1802 480.82613 169.87370393 791.7786
## 1803 541.90374 230.60456439 853.2029
## 1804 754.78156 443.45392147 1066.1092
## 1805 741.45495 424.84048996 1058.0694
## 1806 551.54636 239.53391984 863.5588
## 1807 447.88472 136.73743478 759.0320
## 1808 586.48131 275.56235765 897.4003
## 1809 672.85574 361.56252544 984.1489
## 1810 700.04680 388.98577321 1011.1078
## 1811 427.46061 117.47418936 737.4470
## 1812 NA NA NA
## 1813 481.77805 170.38652297 793.1696
## 1814 687.29511 376.95220230 997.6380
## 1815 1015.99605 703.70521610 1328.2869
## 1816 471.41430 160.41066151 782.4179
## 1817 672.29654 361.99090343 982.6022
## 1818 752.42186 438.40725835 1066.4365
## 1819 899.62052 588.21300938 1211.0280
## 1820 981.45667 664.92820859 1297.9851
## 1821 687.46270 376.41730190 998.5081
## 1822 778.37545 467.38903142 1089.3619
## 1823 944.61620 633.57390043 1255.6585
## 1824 784.68901 468.25183234 1101.1262
## 1825 NA NA NA
## 1826 914.78667 603.38857560 1226.1848
## 1827 528.57709 216.72535856 840.4288
## 1828 453.80267 142.57697113 765.0284
## 1829 455.33949 145.26763629 765.4114
## 1830 386.67564 74.96547361 698.3858
## 1831 716.87411 406.05318462 1027.6950
## 1832 660.27164 349.77969932 970.7636
## 1833 692.72781 381.44441552 1004.0112
## 1834 379.61676 67.86828398 691.3652
## 1835 379.61676 67.86828398 691.3652
## 1836 379.61676 67.86828398 691.3652
## 1837 379.61676 67.86828398 691.3652
## 1838 628.31035 317.83283122 938.7879
## 1839 534.15985 223.43007304 844.8896
## 1840 NA NA NA
## 1841 NA NA NA
## 1842 154.06109 -155.93650024 464.0587
## 1843 114.48852 -195.58231233 424.5593
## 1844 215.00970 -94.97474253 524.9941
## 1845 203.24491 -106.77461136 513.2644
## 1846 116.84148 -193.22590737 426.9089
## 1847 128.60627 -181.44724894 438.6598
## 1848 213.44106 -96.54773431 523.4299
## 1849 198.53899 -111.49612912 508.5741
## 1850 NA NA NA
## 1851 NA NA NA
## 1852 198.18238 -112.00467942 508.3694
## 1853 NA NA NA
## 1854 NA NA NA
## 1855 NA NA NA
## 1856 NA NA NA
## 1857 NA NA NA
## 1858 167.39452 -142.59350381 477.3825
## 1859 155.62973 -154.36636180 465.6258
## 1860 NA NA NA
## 1861 235.79416 -74.14201745 545.7303
## 1862 NA NA NA
## 1863 NA NA NA
## 1864 NA NA NA
## 1865 213.44106 -96.54773431 523.4299
## 1866 215.79402 -94.18828404 525.7763
## 1867 286.51107 -24.12630985 597.1484
## 1868 163.90063 -146.14494204 473.9462
## 1869 206.61049 -103.39117978 516.6122
## 1870 396.47334 85.59090499 707.3558
## 1871 99.06225 -211.19573905 409.3202
## 1872 448.24520 137.91345610 758.5769
## 1873 NA NA NA
## 1874 NA NA NA
## 1875 NA NA NA
## 1876 160.79517 -149.61291097 471.2033
## 1877 NA NA NA
## 1878 384.97906 75.30703203 694.6511
## 1879 322.98565 13.11196224 632.8593
## 1880 424.25934 114.33586960 734.1828
## 1881 214.45368 -95.55819809 524.4656
## 1882 NA NA NA
## 1883 NA NA NA
## 1884 89.65041 -220.61374962 399.9146
## 1885 NA NA NA
## 1886 169.67638 -141.02635421 480.3791
## 1887 443.97060 133.22675213 754.7145
## 1888 284.52219 -25.87432458 594.9187
## 1889 210.30378 -99.69401703 520.3016
## 1890 353.67060 43.73911567 663.6021
## 1891 NA NA NA
## 1892 88.08177 -222.18376696 398.3473
## 1893 NA NA NA
## 1894 NA NA NA
## 1895 NA NA NA
## 1896 88.86609 -221.39874583 399.1309
## 1897 398.67620 87.30983452 710.0426
## 1898 NA NA NA
## 1899 260.92830 -49.26469482 571.1213
## 1900 NA NA NA
## 1901 174.48521 -135.91645146 484.8869
## 1902 620.99136 310.26948319 931.7132
## 1903 1047.85008 735.48036447 1360.2198
## 1904 891.77769 580.26573765 1203.2896
## 1905 NA NA NA
## 1906 632.39276 321.85730231 942.9282
## 1907 945.36834 634.73766098 1255.9990
## 1908 563.24435 253.40273142 873.0860
## 1909 508.27768 198.11664047 818.4387
## 1910 976.61248 665.08161015 1288.1434
## 1911 620.40316 310.60300947 930.2033
## 1912 760.60056 449.56222296 1071.6389
## 1913 832.69326 521.81407657 1143.5724
## 1914 661.35143 350.24188434 972.4610
## 1915 1145.04534 832.79389325 1457.2968
## 1916 1081.54765 769.22081838 1393.8745
## 1917 383.79884 73.72108382 693.8766
## 1918 559.32275 249.47249374 869.1730
## 1919 508.24550 198.52086913 817.9701
## 1920 833.90168 522.11000071 1145.6934
## 1921 488.99413 179.19295865 798.7953
## 1922 667.20221 357.06296213 977.3415
## 1923 891.77769 580.26573765 1203.2896
## 1924 NA NA NA
## 1925 NA NA NA
## 1926 NA NA NA
## 1927 429.78139 119.68236345 739.8804
## 1928 124.68467 -185.37284499 434.7422
## 1929 124.68467 -185.37284499 434.7422
## 1930 503.96088 193.48002159 814.4417
## 1931 244.55372 -65.44762674 554.5551
## 1932 117.62579 -192.44048892 427.6921
## 1933 NA NA NA
## 1934 NA NA NA
## 1935 NA NA NA
## 1936 173.60476 -136.32747122 483.5370
## 1937 174.48521 -135.91645146 484.8869
## 1938 NA NA NA
## 1939 NA NA NA
## 1940 437.71466 126.23129595 749.1980
## 1941 474.81239 164.94955826 784.6752
## 1942 427.00072 116.93922673 737.0622
## 1943 490.49877 180.59504971 800.4025
## 1944 NA NA NA
## 1945 329.97343 20.13463356 639.8122
## 1946 NA NA NA
## 1947 712.68233 401.28085573 1024.0838
## 1948 549.28778 236.73612823 861.8394
## 1949 249.51975 -60.39415986 559.4337
## 1950 243.20051 -66.74102803 553.1421
## 1951 523.59028 210.84593380 836.3346
## 1952 NA NA NA
## 1953 487.00488 176.91891717 797.0909
## 1954 689.08844 377.93027154 1000.2466
## 1955 167.85404 -142.53960933 478.2477
## 1956 266.77477 -43.12197886 576.6715
## 1957 174.48521 -135.91645146 484.8869
## 1958 167.06972 -143.32543212 477.4649
## 1959 239.84780 -70.16913246 549.8647
## 1960 174.48521 -135.91645146 484.8869
## 1961 209.51946 -100.48065003 519.5196
## 1962 179.19112 -131.19822777 489.5805
## 1963 236.97848 -72.95547259 546.9124
## 1964 266.00723 -44.21540736 576.2299
## 1965 215.79402 -94.18828404 525.7763
## 1966 201.39076 -109.93506401 512.7166
## 1967 398.95461 87.96438205 709.9448
## 1968 NA NA NA
## 1969 NA NA NA
## 1970 215.00970 -94.97474253 524.9941
## 1971 356.64028 46.83810442 666.4425
## 1972 486.83729 176.79962885 796.8749
## 1973 428.99743 119.06412481 738.9307
## 1974 377.32488 67.35726807 687.2925
## 1975 373.37110 63.15212272 683.5901
## 1976 400.04194 89.76569354 710.3182
## 1977 351.83787 41.88572287 661.7900
## 1978 346.34764 36.40435203 656.2909
## 1979 218.93130 -91.04269938 528.9053
## 1980 269.84095 -40.43801301 580.1199
## 1981 211.08810 -98.90740896 521.0836
## 1982 521.84619 211.10136751 832.5910
## 1983 NA NA NA
## 1984 342.16592 32.45663057 651.8752
## 1985 369.18939 59.39446052 678.9843
## 1986 NA NA NA
## 1987 NA NA NA
## 1988 114.48852 -195.58231233 424.5593
## 1989 437.99110 124.53199748 751.4502
## 1990 NA NA NA
## 1991 387.45996 75.75392648 699.1660
## 1992 290.86037 -19.78369896 601.5044
## 1993 347.79125 37.33904621 658.2435
## 1994 541.48281 230.19866661 852.7670
## 1995 750.72848 440.31824913 1061.1387
## 1996 629.15898 318.80465511 939.5133
## 1997 599.61496 288.99566760 910.2343
## 1998 405.07159 93.38215172 716.7610
## 1999 458.86519 147.78771644 769.9427
## 2000 374.03040 63.92918159 684.1316
## 2001 402.29771 90.70868706 713.8867
## 2002 757.88385 447.60918378 1068.1585
## 2003 337.42751 27.05452925 647.8005
## 2004 394.09112 82.33756609 705.8447
## 2005 895.56744 584.52262872 1206.6122
## 2006 331.58066 21.12082324 642.0405
## 2007 457.29656 146.20940210 768.3837
## 2008 NA NA NA
## 2009 461.21815 150.15500206 772.2813
## 2010 420.69366 109.13885242 732.2485
## 2011 533.63962 222.30617952 844.9731
## 2012 506.44856 195.50547556 817.3916
## 2013 903.15337 590.25109256 1216.0556
## 2014 735.20969 424.35502693 1046.0643
## 2015 375.59904 65.50450032 685.6936
## 2016 443.17881 132.00011356 754.3575
## 2017 294.68584 -15.08066167 604.4523
## 2018 420.69366 109.13885242 732.2485
## 2019 348.57557 38.12670203 659.0244
## 2020 412.49386 100.96056631 724.0272
## 2021 593.50800 282.92408093 904.0919
## 2022 391.31724 79.66352332 702.9709
## 2023 386.31903 74.41827346 698.2198
## 2024 309.25633 -1.27459848 619.7872
## 2025 439.25721 128.05166499 750.4628
## 2026 466.61189 155.30427410 777.9195
## 2027 671.02698 359.94643730 982.1075
## 2028 413.34286 103.28355393 723.4022
## 2029 387.53142 76.77384588 698.2890
## 2030 468.63364 157.46765788 779.7996
## 2031 395.99134 85.97457741 706.0081
## 2032 566.22081 256.42386004 876.0178
## 2033 336.64319 26.26698282 647.0194
## 2034 511.93879 201.02740142 822.8502
## 2035 551.15476 240.43435730 861.8752
## 2036 526.05654 215.22105667 836.8920
## 2037 549.58612 238.85927135 860.3130
## 2038 454.15928 143.05247606 765.2661
## 2039 548.01748 237.28408599 858.7509
## 2040 NA NA NA
## 2041 556.05647 245.17568834 866.9373
## 2042 402.29771 90.70868706 713.8867
## 2043 533.89973 223.10294540 844.6965
## 2044 453.01157 141.63522258 764.3879
## 2045 353.70241 43.40910527 663.9957
## 2046 431.47833 120.13018838 742.8265
## 2047 407.00362 95.44084361 718.5664
## 2048 852.79327 541.60130265 1163.9852
## 2049 908.51212 597.13944258 1219.8848
## 2050 NA NA NA
## 2051 458.08087 146.99857166 769.1632
## 2052 735.72991 424.80270578 1046.6571
## 2053 678.96667 367.99912610 989.9342
## 2054 518.63745 208.69164887 828.5832
## 2055 380.40108 68.65695960 692.1452
## 2056 475.86010 164.71822515 787.0020
## 2057 335.85887 25.47941151 646.2383
## 2058 451.80632 140.68452137 762.9281
## 2059 309.25633 -1.27459848 619.7872
## 2060 368.54016 58.41478174 678.6655
## 2061 368.60448 58.36768773 678.8413
## 2062 350.92853 40.48952024 661.3675
## 2063 438.37640 126.96576448 749.7870
## 2064 367.32813 57.16296788 677.4933
## 2065 519.78199 208.91375816 830.6502
## 2066 378.54052 67.99798804 689.0830
## 2067 390.30531 79.81591847 700.7947
## 2068 447.94904 136.69793451 759.2001
## 2069 538.60565 227.83088659 849.3804
## 2070 570.76274 260.11454162 881.4109
## 2071 387.82335 75.96802760 699.6787
## 2072 382.23020 72.14459315 692.3158
## 2073 520.82642 210.05175216 831.6011
## 2074 NA NA NA
## 2075 160.23915 -150.06614917 470.5445
## 2076 357.13267 46.44248536 667.8229
## 2077 NA NA NA
## 2078 405.16517 93.98311565 716.3472
## 2079 NA NA NA
## 2080 NA NA NA
## 2081 NA NA NA
## 2082 291.34237 -19.41160478 602.0963
## 2083 416.83346 105.80268330 727.8642
## 2084 205.59787 -104.41418893 515.6099
## 2085 NA NA NA
## 2086 NA NA NA
## 2087 NA NA NA
## 2088 555.85707 245.78145542 865.9327
## 2089 297.49154 -13.09183949 608.0749
## 2090 471.05047 160.96047782 781.1405
## 2091 568.04956 258.08023022 878.0189
## 2092 594.55280 284.70413411 904.4015
## 2093 458.30918 148.48959925 768.1288
## 2094 403.66694 93.33676189 713.9971
## 2095 317.88384 7.38782249 628.3799
## 2096 552.59509 242.59082145 862.5994
## 2097 721.08552 410.27425661 1031.8968
## 2098 215.79402 -94.18828404 525.7763
## 2099 454.81529 144.92845943 764.7021
## 2100 516.18519 206.19873201 826.1716
## 2101 544.75556 235.06239499 854.4487
## 2102 357.19630 46.88223650 667.5104
## 2103 505.66424 194.71652980 816.6119
## 2104 357.19630 46.88223650 667.5104
## 2105 356.41198 46.09395911 666.7300
## 2106 341.34910 30.99188815 651.7063
## 2107 278.27945 -31.63643350 588.1953
## 2108 310.04064 -0.48698132 620.5683
## 2109 238.99880 -72.23166785 550.2293
## 2110 240.56744 -70.65800835 551.7929
## 2111 364.68288 54.43209002 674.9337
## 2112 550.40294 240.02164365 860.7842
## 2113 268.27910 -41.54402906 578.1022
## 2114 295.92290 -14.66789421 606.5137
## 2115 563.93217 254.23385538 873.6305
## 2116 308.11540 -2.46763721 618.6984
## 2117 NA NA NA
## 2118 399.91294 89.90919974 709.9167
## 2119 567.26244 256.83600978 877.6889
## 2120 295.92290 -14.66789421 606.5137
## 2121 341.15330 30.80543549 651.5012
## 2122 430.85800 120.96947923 740.7465
## 2123 403.66694 93.33676189 713.9971
## 2124 403.66694 93.33676189 713.9971
## 2125 NA NA NA
## 2126 302.98177 -7.57643093 613.5400
## 2127 714.09775 402.83939872 1025.3561
## 2128 482.00635 171.99118535 792.0215
## 2129 478.44136 168.65095248 788.2318
## 2130 849.81717 537.90425743 1161.7301
## 2131 356.77537 46.59410348 666.9566
## 2132 426.12027 116.58339585 735.6571
## 2133 NA NA NA
## 2134 124.68467 -185.37284499 434.7422
## 2135 NA NA NA
## 2136 409.12536 99.53131724 718.7194
## 2137 NA NA NA
## 2138 NA NA NA
## 2139 NA NA NA
## 2140 536.14617 225.38457503 846.9078
## 2141 NA NA NA
## 2142 NA NA NA
## 2143 594.97012 284.16787778 905.7724
## 2144 NA NA NA
## 2145 458.27058 147.92221982 768.6189
## 2146 NA NA NA
## 2147 NA NA NA
## 2148 97.49361 -212.76515825 407.7524
## 2149 540.46049 229.35739750 851.5636
## 2150 183.89704 -126.48090051 494.2750
## 2151 NA NA NA
## 2152 NA NA NA
## 2153 467.00137 157.14974069 776.8530
## 2154 183.89704 -126.48090051 494.2750
## 2155 NA NA NA
## 2156 588.21426 278.12685001 898.3017
## 2157 NA NA NA
## 2158 536.14617 225.38457503 846.9078
## 2159 500.85180 190.04741250 811.6562
## 2160 427.68891 118.15309144 737.2247
## 2161 NA NA NA
## 2162 467.65702 157.67082372 777.6432
## 2163 458.24486 148.19337134 768.2963
## 2164 384.48666 74.26175737 694.7116
## 2165 459.25431 149.12410434 769.3845
## 2166 540.40259 230.70851241 850.0967
## 2167 404.25546 94.13333804 714.3776
## 2168 580.30638 270.22772847 890.3850
## 2169 439.19322 129.10192950 749.2845
## 2170 381.38189 71.65468985 691.1091
## 2171 606.64202 296.96756100 916.3165
## 2172 225.20585 -84.75272690 535.1644
## 2173 509.02982 199.30643290 818.7532
## 2174 NA NA NA
## 2175 341.90581 31.95334251 651.8583
## 2176 447.03678 137.13765395 756.9359
## 2177 575.89276 265.91058230 885.8749
## 2178 637.92513 325.32961551 950.5206
## 2179 304.09767 -5.64987882 613.8452
## 2180 276.90661 -32.90420362 586.7174
## 2181 559.38992 248.11846979 870.6614
## 2182 410.62651 100.27108727 720.9819
## 2183 598.04669 288.13829937 907.9551
## 2184 480.98334 170.53432499 791.4323
## 2185 439.88141 130.21928539 749.5435
## 2186 339.55285 29.59551445 649.5102
## 2187 500.39552 190.08569775 810.7053
## 2188 292.42901 -18.20901416 603.0670
## 2189 403.40682 93.41881470 713.3948
## 2190 536.11760 226.14807657 846.0871
## 2191 542.40211 231.41872372 853.3855
## 2192 283.01718 -27.65861464 593.6930
## 2193 170.20700 -140.18229041 480.5963
## 2194 955.40401 643.28402038 1267.5240
## 2195 962.66266 650.36696107 1274.9584
## 2196 290.43266 -20.18486852 601.0502
## 2197 292.00130 -18.60846590 602.6111
## 2198 289.64834 -20.97310710 600.2698
## 2199 443.59973 132.16110766 755.0384
## 2200 496.83732 187.06207061 806.6126
## 2201 NA NA NA
## 2202 NA NA NA
## 2203 491.41140 181.37755236 801.4452
## 2204 421.27857 110.58556121 731.9716
## 2205 NA NA NA
## 2206 479.03306 169.20538211 788.8607
## 2207 601.38370 290.97756334 911.7898
## 2208 1337.33538 1019.61957898 1655.0512
## 2209 419.51414 109.18746864 729.8408
## 2210 508.76970 198.62412528 818.9153
## 2211 654.22539 344.40909861 964.0417
## 2212 234.78528 -75.58444447 545.1550
## 2213 198.18238 -112.00467942 508.3694
## 2214 202.10398 -108.07420000 512.2822
## 2215 NA NA NA
## 2216 NA NA NA
## 2217 NA NA NA
## 2218 207.95083 -102.05399081 517.9556
## 2219 201.67627 -108.34835093 511.7009
## 2220 202.10398 -108.07420000 512.2822
## 2221 202.10398 -108.07420000 512.2822
## 2222 192.69215 -117.50839719 502.8927
## 2223 217.36266 -92.61544184 527.3408
## 2224 295.73027 -14.06415755 605.5247
## 2225 306.54676 -4.04132719 617.1348
## 2226 344.61538 34.70673949 654.5240
## 2227 NA NA NA
## 2228 120.76307 -189.29906447 430.8252
## 2229 NA NA NA
## 2230 217.36266 -92.61544184 527.3408
## 2231 526.78004 216.36915053 837.1909
## 2232 374.90443 63.89274645 685.9161
## 2233 NA NA NA
## 2234 NA NA NA
## 2235 199.32331 -110.70914719 509.3558
## 2236 315.53088 5.02564250 626.0361
## 2237 484.58050 174.23989878 794.9211
## 2238 170.56361 -139.84898923 480.9762
## 2239 NA NA NA
## 2240 NA NA NA
## 2241 NA NA NA
## 2242 228.34313 -81.60833913 538.2946
## 2243 316.47918 6.67411287 626.2843
## 2244 336.35126 26.56830329 646.1342
## 2245 191.90783 -118.29474225 502.1104
## 2246 424.19502 114.54255617 733.8475
## 2247 NA NA NA
## 2248 NA NA NA
## 2249 350.88993 40.99927185 660.7806
## 2250 307.06735 -2.74635627 616.8811
## 2251 314.97486 5.05878264 624.8909
## 2252 375.56723 65.88121747 685.2532
## 2253 209.51946 -100.48065003 519.5196
## 2254 NA NA NA
## 2255 193.47647 -116.72207704 503.6750
## 2256 309.77014 -1.84848054 621.3888
## 2257 306.11905 -4.42531580 616.6634
## 2258 325.89499 15.36074900 636.4292
## 2259 448.34811 138.29776058 758.3985
## 2260 279.35606 -30.35609636 589.0682
## 2261 196.97035 -113.07016773 507.0109
## 2262 196.97035 -113.07016773 507.0109
## 2263 353.60628 43.87367127 663.3389
## 2264 NA NA NA
## 2265 205.59787 -104.41418893 515.6099
## 2266 315.14246 5.26723037 625.0177
## 2267 263.73399 -46.12671020 573.5947
## 2268 365.37107 55.66586170 675.0763
## 2269 380.69407 70.86700025 690.5211
## 2270 407.88513 97.62657539 718.1437
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## 5030 NA NA NA
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## 5142 NA NA NA
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## 5333 NA NA NA
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## 8262 675.82939 364.85009916 986.8087
## 8263 519.84667 209.14681754 830.5465
## 8264 330.07670 20.27244897 639.8810
## 8265 734.39323 423.09200975 1045.6945
## 8266 399.12862 89.12232512 709.1349
## 8267 415.66401 105.69694960 725.6311
## 8268 667.24509 357.40495480 977.0852
## 8269 541.05182 230.91890582 851.1847
## 8270 594.48849 284.16175224 904.8152
## 8271 400.72976 90.82607459 710.6334
## 8272 365.86310 55.60597874 676.1202
## 8273 339.29274 28.61781402 649.9677
## 8274 310.04064 -0.48698132 620.5683
## 8275 296.54710 -13.55750240 606.6517
## 8276 356.38017 46.50392840 666.2564
## 8277 442.49168 131.56594702 753.4174
## 8278 166.28541 -144.11127981 476.6821
## 8279 204.81355 -105.20097148 514.8281
## 8280 386.67564 74.96547361 698.3858
## 8281 520.92292 210.11496491 831.7309
## 8282 351.87366 41.18997889 662.5573
## 8283 453.47463 142.74836547 764.2009
## 8284 904.19893 590.96568923 1217.4322
## 8285 NA NA NA
## 8286 275.60169 -35.39795203 586.6013
## 8287 298.27586 -12.30384941 608.8556
## 8288 NA NA NA
## 8289 425.69967 114.76500785 736.6343
## 8290 207.95083 -102.05399081 517.9556
## 8291 118.41011 -191.65509540 428.4753
## 8292 NA NA NA
## 8293 124.68467 -185.37284499 434.7422
## 8294 NA NA NA
## 8295 NA NA NA
## 8296 356.41198 46.09395911 666.7300
## 8297 306.11905 -4.42531580 616.6634
## 8298 NA NA NA
## 8299 NA NA NA
## 8300 292.78562 -17.82030186 603.3915
## 8301 492.68742 181.68335745 803.6915
## 8302 89.65041 -220.61374962 399.9146
## 8303 117.62579 -192.44048892 427.6921
## 8304 320.60019 10.10215869 631.0982
## 8305 401.57807 91.45186616 711.7043
## 8306 290.43266 -20.18486852 601.0502
## 8307 NA NA NA
## 8308 328.79999 18.39015026 639.2098
## 8309 127.82195 -182.23231827 437.8762
## 8310 357.74940 47.15829022 668.3405
## 8311 272.29719 -37.44356344 582.0379
## 8312 NA NA NA
## 8313 NA NA NA
## 8314 570.82706 259.92509826 881.7290
## 8315 812.95379 501.96349407 1123.9441
## 8316 260.68282 -52.00050575 573.3661
## 8317 785.01059 474.48853814 1095.5326
## 8318 588.83427 277.93027823 899.7383
## 8319 424.32333 114.32141178 734.3253
## 8320 NA NA NA
## 8321 NA NA NA
## 8322 NA NA NA- Con las predicciones del modelo sugiera potenciales ofertas que responda a la solicitud de la vivienda 1. Tenga encuentra que la empresa tiene crédito preaprobado de máximo 350 millones de pesos. Realice un análisis y presente en un mapa al menos 5 ofertas potenciales que debe discutir.
## [1] 230## [1] 350Realice los pasos del 1 al 6. Para la segunda solicitud que tiene un crédito pre-aprobado por valor de $850 millones.
Realice un filtro a la base de datos e incluya solo las ofertas de : base1: Apartamentos, de la zona Sur de la ciudad. Presente los primeros 3 registros de las bases y algunas tablas que comprueben la consulta. (Adicional un mapa con los puntos de las bases. Discutir si todos los puntos se ubican en la zona correspondiente o se presentan valores en otras zonas, por que?).
Apartamentos Zona Sur de la ciudad
Como observamos en el mapa existen puntos que no estan ubicados al sur de la ciudad de Cali, el motivo por el cual se visualiza de esta manera puede ser debido a que al momento de capturar la información existía una posible duda de la zona o se ingresó mal el valor, por lo tanto la variable zona no corresponde según las coordenadas de ubicación.
- Realice un análisis exploratorio de datos enfocado en la correlación entre la variable respuesta (precio de la casa) en función del área construida, estrato, numero de baños, numero de habitaciones y zona donde se ubica la vivienda. Use gráficos interactivos con el paquete plotly e interprete los resultados.
Para nuestro EDA de casas en zona norte se utilizarán las siguientes variables: preciom areaconst estrato banios habitaciones parqueadero
## id zona piso estrato
## Min. : 3 Length:2787 Length:2787 Min. :3.00
## 1st Qu.:2292 Class :character Class :character 1st Qu.:4.00
## Median :4004 Mode :character Mode :character Median :5.00
## Mean :4131 Mean :4.63
## 3rd Qu.:5876 3rd Qu.:5.00
## Max. :8302 Max. :6.00
## preciom areaconst parqueaderos banios
## Min. : 75.0 Min. : 40.00 Min. : 1.000 Min. :1.000
## 1st Qu.: 175.0 1st Qu.: 65.00 1st Qu.: 1.000 1st Qu.:2.000
## Median : 245.0 Median : 85.00 Median : 1.000 Median :2.000
## Mean : 297.3 Mean : 97.47 Mean : 1.354 Mean :2.493
## 3rd Qu.: 335.0 3rd Qu.:110.00 3rd Qu.: 2.000 3rd Qu.:3.000
## Max. :1750.0 Max. :932.00 Max. :10.000 Max. :8.000
## habitaciones tipo barrio longitud
## Min. :1.000 Length:2787 Length:2787 Min. :-76.57
## 1st Qu.:3.000 Class :character Class :character 1st Qu.:-76.54
## Median :3.000 Mode :character Mode :character Median :-76.53
## Mean :2.974 Mean :-76.53
## 3rd Qu.:3.000 3rd Qu.:-76.52
## Max. :6.000 Max. :-76.46
## latitud base base2
## Min. :3.334 Length:2787 Length:2787
## 1st Qu.:3.370 Class :character Class :character
## Median :3.383 Mode :character Mode :character
## Mean :3.390
## 3rd Qu.:3.406
## Max. :3.497Según los datos en la zona sur se cuenta con apartamentos aproximadamente de estrato 4 con un promedio de 3 habitaciones, 2 banios, y un área de 97 m2 con un valor promedio de 297 millones de pesos
## TableGrob (3 x 2) "arrange": 6 grobs
## z cells name grob
## preciom 1 (1-1,1-1) arrange gtable[layout]
## areaconst 2 (1-1,2-2) arrange gtable[layout]
## estrato 3 (2-2,1-1) arrange gtable[layout]
## banios 4 (2-2,2-2) arrange gtable[layout]
## habitaciones 5 (3-3,1-1) arrange gtable[layout]
## parqueaderos 6 (3-3,2-2) arrange gtable[layout]Se puede evidenciar que la mayoría de Apartamentos de la zona Sur pertenecen a los estratos 4 y 5.
## preciom areaconst estrato banios habitaciones parqueaderos
## preciom 1.0000000 0.7579955 0.6727067 0.7288773 0.3454114 0.6967313
## areaconst 0.7579955 1.0000000 0.4815593 0.6748986 0.4522052 0.5787405
## estrato 0.6727067 0.4815593 1.0000000 0.5721277 0.2133095 0.4983633
## banios 0.7288773 0.6748986 0.5721277 1.0000000 0.5199280 0.5758618
## habitaciones 0.3454114 0.4522052 0.2133095 0.5199280 1.0000000 0.2827378
## parqueaderos 0.6967313 0.5787405 0.4983633 0.5758618 0.2827378 1.0000000
Correlacion
precio y habitaciones: Tienen una correlacion positiva mediana (0.345). Esto significa que hay una relación muy pareja entre mayor el precio mayor cantidad de habitaciones tendra el inmueble..
precio y baños: Tienen una correlación positiva alta (0.729). a mayor cantidad de baños mayor es el precio del inmueble.
precio y estrato: Tienen una correlación positiva medieanamente alta (0.673). Esto significa que a medida que aumenta el estrato de la vivienda, es más probable que aumente el precio de la vivienda.
preciom y areacost: Tienen una correlación positiva alta (0.758). Esto significa que hay una relación alta entre mayor es el area mayor el valor del inmueble.
Luego procedemos a revisar la correlacion que tienen las variables predictoras entre si:
areaconst y habitaciones: Tienen una correlacion positiva mediana (0.452). Esto significa que hay una relación muy pareja entre mayor el area contrida mayor cantidad de habitaciones tendra el inmueble.
areaconst y banios: Tienen una correlacion positiva mediana (0.675). Esto significa que hay una realacion muy parecida a la anterior de que mayor area constriuda, mayor cantidad de baños.
areaconst y estrato: Tienen una correlación positiva mediana (0.482). Esto significa que hay una relación positiva mediana entre el area construida y su estrato.
estrato y habitaciones: Tienen una correlación positiva débil (0.213). Esto significa que hay una relación muy pequena entre el estrato de la vivienda y el número de habitaciones, es decir que no importa el estrato y la cantidad de habitaciones.
estrato y banios: Tienen una correlación positiva mediana (0.572). Esto significa que hay una relación pareja entre estrato de la vivienda y el número de baños.
baños y habitaciones: Tienen una correlación positiva mediana (0.520). Esto significa que hay una relación moderada entre el número de baños y el número de habitaciones.
- Estime un modelo de regresión lineal múltiple con las variables del punto anterior (precio = f(área construida, estrato, número de cuartos, número de parqueaderos, número de baños ) ) e interprete los coeficientes si son estadísticamente significativos. Las interpretaciones deber están contextualizadas y discutir si los resultados son lógicos. Adicionalmente interprete el coeficiente R2 y discuta el ajuste del modelo e implicaciones (que podrían hacer para mejorarlo).
##
## Call:
## lm(formula = preciom ~ areaconst + estrato + habitaciones + banios +
## parqueaderos, data = vivienda_casasSur)
##
## Residuals:
## Min 1Q Median 3Q Max
## -1143.12 -38.15 -2.84 38.29 923.02
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) -263.27408 13.15694 -20.010 < 2e-16 ***
## areaconst 1.34920 0.04887 27.606 < 2e-16 ***
## estrato 58.92506 2.66784 22.087 < 2e-16 ***
## habitaciones -19.39331 3.45310 -5.616 2.15e-08 ***
## banios 46.17536 3.05199 15.130 < 2e-16 ***
## parqueaderos 72.96994 3.65982 19.938 < 2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 92.91 on 2781 degrees of freedom
## Multiple R-squared: 0.7652, Adjusted R-squared: 0.7647
## F-statistic: 1812 on 5 and 2781 DF, p-value: < 2.2e-16## (Intercept) areaconst estrato habitaciones banios parqueaderos
## -263.274078 1.349202 58.925057 -19.393309 46.175360 72.969936El modelo de regresión lineal se estima en: Precio = -263.274078 + 1.349202 * (areaconst) + 58.925057 * (estrato) + (-19.393309) * (habitaciones) + 46.175360 * (banios) + 72.969936 * (parqueaderos)
El R2 es igual a 0.7652 lo cual quiere decir que hay un 76% de relación de las variables con el precio del inmueble.
- Realice la validación de supuestos del modelo e interprete los resultados (no es necesario corregir en caso de presentar problemas, solo realizar sugerencias de que se podría hacer).
Supuesto 1: El valor esperado de los errores es cero E[u]=0
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## -1143.124 -38.147 -2.841 0.000 38.291 923.024##
## One Sample t-test
##
## data: modelo_apto$residuals
## t = -6.1679e-15, df = 2786, p-value = 1
## alternative hypothesis: true mean is not equal to 0
## 95 percent confidence interval:
## -3.447742 3.447742
## sample estimates:
## mean of x
## -1.084509e-14P valor=1>α=0.05 se tiene evidencia suficiente para no rechazar que Ho:ßo=0, por tanto el supuesto se cumple.
Supuesto 2 : Los errores tienen varianza constante. V[ui]=σ2
##
## Goldfeld-Quandt test
##
## data: modelo_apto
## GQ = 0.95201, df1 = 1388, df2 = 1387, p-value = 0.8201
## alternative hypothesis: variance increases from segment 1 to 2P valor=0.8201>α=0.05, se tiene evidencia suficiente para no rechazar la hipotesis nula, por tanto el supuesto se cumple.
Supuesto 3 : u es una variable con distribución normal. u∼Normal .
##
## Shapiro-Wilk normality test
##
## data: modelo_apto$residuals
## W = 0.78288, p-value < 2.2e-16Como P valor<α=0.05, se rechaza la hipótesis nula, quiere decir que, los errores no se distibuyen de forma normal, el supuesto no se cumple.
Supuesto 4 : Los errores son independientes unos de otros E[ui,uj]
##
## Durbin-Watson test
##
## data: modelo_apto
## DW = 1.5444, p-value < 2.2e-16
## alternative hypothesis: true autocorrelation is greater than 0Como P valor=2.2e-16<α=0.05, se rechaza la hipótesis nula, quiere decir que, los errores no son indepentientes, el supuesto no se cumple
- Con el modelo identificado debe predecir el precio de la vivienda con las características de la primera solicitud.
## fit lwr upr
## 1 103.08140 -80.3522827 286.5151
## 2 182.54607 0.1318973 364.9603
## 3 371.04291 188.0683834 554.0174
## 4 741.80942 558.6197594 924.9991
## 5 259.92013 77.6546701 442.1856
## 6 302.04788 119.7759446 484.3198
## 7 222.69533 40.3047364 405.0859
## 8 423.08461 240.7515010 605.4177
## 9 448.01298 264.9299353 631.0960
## 10 770.33403 586.4601939 954.2079
## 11 NA NA NA
## 12 804.21296 620.7440879 987.6818
## 13 657.74428 474.5489502 840.9396
## 14 422.00204 239.5124532 604.4916
## 15 349.00332 166.2737911 531.7328
## 16 680.80627 497.6497158 863.9628
## 17 443.62513 261.2427496 626.0075
## 18 344.42600 162.0930439 526.7590
## 19 350.42969 168.1092050 532.7502
## 20 NA NA NA
## 21 128.57799 -53.7749412 310.9309
## 22 779.02360 595.1664688 962.8807
## 23 436.13680 253.6731763 618.6004
## 24 209.09028 26.8469823 391.3336
## 25 497.90823 315.4093455 680.4071
## 26 479.31126 296.8888418 661.7337
## 27 187.26520 4.8629790 369.6674
## 28 NA NA NA
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## 30 NA NA NA
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## 160 NA NA NA
## 161 NA NA NA
## 162 NA NA NA
## 163 NA NA NA
## 164 47.82786 -134.5733803 230.2291
## 165 NA NA NA
## 166 678.75343 496.1900102 861.3168
## 167 NA NA NA
## 168 161.86821 -20.3698413 344.1063
## 169 181.26152 -1.0533404 363.5764
## 170 478.46654 296.1525156 660.7806
## 171 NA NA NA
## 172 120.98726 -61.4676954 303.4422
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## 174 NA NA NA
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## 176 NA NA NA
## 177 NA NA NA
## 178 NA NA NA
## 179 755.46848 572.9141290 938.0228
## 180 55.41859 -126.9753936 237.8126
## 181 916.13656 733.0293876 1099.2437
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## 184 833.52021 650.9094047 1016.1310
## 185 192.05513 9.7391250 374.3711
## 186 NA NA NA
## 187 122.33646 -60.1187092 304.7916
## 188 726.82023 544.2561529 909.3843
## 189 NA NA NA
## 190 122.33646 -60.1187092 304.7916
## 191 922.88257 739.7484073 1106.0167
## 192 786.29814 603.7703635 968.8259
## 193 772.80612 590.2907511 955.3215
## 194 254.23145 71.7956994 436.6672
## 195 181.26152 -1.0533404 363.5764
## 196 NA NA NA
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## 199 594.29593 411.9279361 776.6639
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## 201 NA NA NA
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## 207 NA NA NA
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## 238 NA NA NA
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## 257 181.86840 -0.5322426 364.2690
## 258 164.56661 -17.6700741 346.8033
## 259 964.69531 781.7026375 1147.6880
## 260 NA NA NA
## 261 954.94840 771.8419120 1138.0549
## 262 NA NA NA
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## 272 NA NA NA
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## 306 118.28885 -64.1658190 300.7435
## 307 NA NA NA
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## 309 98.89554 -83.4580442 281.2491
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## 312 180.75704 -1.4757038 362.9898
## 313 190.75431 8.2395808 373.2690
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## 1452 1103.81390 919.5416367 1288.0862
## 1453 986.39556 803.4120158 1169.3791
## 1454 NA NA NA
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## 1456 744.66234 561.9026528 927.4220
## 1457 968.65394 785.4368698 1151.8710
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## 1485 462.27612 279.9516964 644.6005
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## 1487 303.73412 121.2894904 486.1787
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## 1493 802.62591 619.5805604 985.6713
## 1494 540.32785 357.9587874 722.6969
## 1495 939.61423 755.3121348 1123.9163
## 1496 NA NA NA
## 1497 1151.13557 966.3226479 1335.9485
## 1498 634.46951 451.7698373 817.1692
## 1499 820.98594 638.0164314 1003.9554
## 1500 565.11796 382.7743756 747.4616
## 1501 429.69328 247.0703164 612.3162
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## 1503 759.51609 576.9521529 942.0800
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## 1508 607.18107 424.6560032 789.7061
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## 1511 318.00046 135.5203517 500.4806
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## 1516 346.07769 163.4743798 528.6810
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## 1560 620.43525 438.0558332 802.8147
## 1561 1204.49768 1019.6251087 1389.3702
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## 1564 1156.29453 971.4623017 1341.1268
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## 1574 534.02167 351.6699869 716.3734
## 1575 395.01800 212.5204981 577.5155
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## 1588 236.98369 54.7182736 419.2491
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## 1599 437.99048 255.6368703 620.3441
## 1600 385.06911 202.6038118 567.5344
## 1601 462.27612 279.9516964 644.6005
## 1602 NA NA NA
## 1603 309.40077 126.9575103 491.8440
## 1604 489.76464 307.3202810 672.2090
## 1605 762.01250 579.5034387 944.5216
## 1606 558.37195 376.0269428 740.7170
## 1607 408.51002 226.0189918 591.0011
## 1608 417.95444 235.4649432 600.4439
## 1609 246.42810 64.1644358 428.6918
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## 1614 432.48065 250.0779715 614.8833
## 1615 NA NA NA
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## 1617 295.90875 113.4607651 478.3567
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## 1619 478.46654 296.1525156 660.7806
## 1620 NA NA NA
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## 1623 464.97452 282.6523366 647.2967
## 1624 480.66047 298.2385009 663.0824
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## 1660 442.88281 260.4290210 625.3366
## 1661 393.40217 211.0550430 575.7493
## 1662 369.06815 186.6824231 551.4539
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## 1675 192.89986 10.6653115 375.1344
## 1676 211.78869 29.5432220 394.0341
## 1677 309.40077 126.9575103 491.8440
## 1678 445.58121 263.1310067 628.0314
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## 1685 1029.06555 845.9146563 1212.2164
## 1686 714.17293 531.4699084 896.8759
## 1687 NA NA NA
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## 1689 928.99855 745.5667899 1112.4303
## 1690 568.96358 386.4172765 751.5099
## 1691 1013.20267 828.4301476 1197.9752
## 1692 672.85214 490.3716319 855.3327
## 1693 735.35527 552.4961516 918.2144
## 1694 609.87948 427.3520477 792.4069
## 1695 263.96773 81.7007579 446.2347
## 1696 264.23437 81.4207589 447.0480
## 1697 371.76655 189.3823719 554.1507
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## 1699 539.18064 356.8409863 721.5203
## 1700 640.47129 458.0022794 822.9403
## 1701 373.11576 190.7322707 555.4992
## 1702 373.11576 190.7322707 555.4992
## 1703 736.75659 553.1548917 920.3583
## 1704 358.27453 175.8806139 540.6685
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## 1708 421.49757 239.0468682 603.9483
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## 1710 583.81733 401.3142367 766.3204
## 1711 359.87410 177.5524956 542.1957
## 1712 376.06453 193.7352517 558.3938
## 1713 NA NA NA
## 1714 324.24199 141.7981160 506.6859
## 1715 544.87993 362.5283000 727.2316
## 1716 544.87993 362.5283000 727.2316
## 1717 1058.21946 873.2155253 1243.2234
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## 1722 816.09361 633.2785830 998.9086
## 1723 546.66897 364.2979654 729.0400
## 1724 565.11796 382.7743756 747.4616
## 1725 NA NA NA
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## 1727 1283.03056 1098.1702155 1467.8909
## 1728 705.23299 522.7120004 887.7540
## 1729 585.15401 402.6375766 767.6704
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## 1739 1325.97898 1138.8861637 1513.0718
## 1740 882.18046 698.4883960 1065.8725
## 1741 NA NA NA
## 1742 1210.25009 1025.4694184 1395.0308
## 1743 913.43815 730.3414297 1096.5349
## 1744 NA NA NA
## 1745 NA NA NA
## 1746 999.58510 816.4710480 1182.6991
## 1747 NA NA NA
## 1748 573.21318 390.8696329 755.5567
## 1749 1007.68031 824.5317171 1190.8289
## 1750 826.58474 643.7035416 1009.4659
## 1751 955.79313 772.5130628 1139.0732
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## 1753 967.39371 784.3903313 1150.3971
## 1754 949.46263 766.4566657 1132.4686
## 1755 NA NA NA
## 1756 2068.40326 1874.8170902 2261.9894
## 1757 532.87446 350.4722091 715.2767
## 1758 763.61208 580.6485864 946.5756
## 1759 543.02625 360.6591585 725.3933
## 1760 1865.25584 1669.4537399 2061.0579
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## 1762 3047.54505 2823.4188023 3271.6713
## 1763 648.29666 465.8275293 830.7658
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## 1780 968.44042 785.2538715 1151.6270
## 1781 543.22824 360.8832582 725.5732
## 1782 523.83493 341.4010085 706.2689
## 1783 385.57359 203.0685586 568.0786
## 1784 680.44287 497.7909315 863.0948
## 1785 573.75541 391.2434154 756.2674
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## 1787 680.44287 497.7909315 863.0948
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## 1789 577.80302 395.2816741 760.3244
## 1790 941.92217 757.5405282 1126.3038
## 1791 1134.80779 951.2683121 1318.3473
## 1792 405.49661 223.1147375 587.8785
## 1793 794.28033 611.4987722 977.0619
## 1794 996.67317 811.9668335 1181.3795
## 1795 513.54580 331.2294066 695.8622
## 1796 NA NA NA
## 1797 1874.39659 1682.8084763 2065.9847
## 1798 1263.42273 1078.8600694 1447.9854
## 1799 538.13392 355.7770902 720.4908
## 1800 1026.87163 843.7964800 1209.9468
## 1801 NA NA NA
## 1802 512.19659 329.8809251 694.5123
## 1803 544.56492 361.8746599 727.2552
## 1804 1050.24980 865.4854577 1235.0141
## 1805 1210.51272 1023.9640161 1397.0614
## 1806 726.64329 543.2557097 910.0309
## 1807 455.53011 273.1992145 637.8610
## 1808 713.44123 530.9206804 895.9618
## 1809 934.72290 751.0063761 1118.4394
## 1810 980.89826 797.4804610 1164.3161
## 1811 481.40279 299.0607339 663.7448
## 1812 NA NA NA
## 1813 538.63840 356.0537025 721.2231
## 1814 815.36308 632.3186808 998.4075
## 1815 1517.89222 1331.9225316 1703.8619
## 1816 496.00617 313.6952177 678.3171
## 1817 815.56508 632.3609618 998.7692
## 1818 1035.57088 849.3620131 1221.7798
## 1819 1298.80547 1112.1878793 1485.4231
## 1820 1623.36856 1435.0600221 1811.6771
## 1821 840.45569 657.5032049 1023.4082
## 1822 1044.73997 859.3546559 1230.1253
## 1823 1298.19950 1113.0826404 1483.3164
## 1824 1258.88200 1072.4010679 1445.3629
## 1825 NA NA NA
## 1826 1323.69609 1138.5812327 1508.8109
## 1827 618.54381 435.6644094 801.4232
## 1828 491.11384 308.6696500 673.5580
## 1829 554.76418 372.3823666 737.1460
## 1830 330.14328 147.6606813 512.6259
## 1831 984.44138 800.9838005 1167.8990
## 1832 794.28033 611.4987722 977.0619
## 1833 967.70872 784.6355104 1150.7819
## 1834 318.00046 135.5203517 500.4806
## 1835 318.00046 135.5203517 500.4806
## 1836 318.00046 135.5203517 500.4806
## 1837 318.00046 135.5203517 500.4806
## 1838 785.99565 603.3402003 968.6511
## 1839 603.94234 421.4629924 786.4217
## 1840 NA NA NA
## 1841 NA NA NA
## 1842 140.21633 -42.2818917 322.7146
## 1843 97.54634 -84.8078553 279.9005
## 1844 183.45544 1.2226524 365.6882
## 1845 163.21741 -19.0199325 345.4548
## 1846 101.59395 -80.7585730 283.9465
## 1847 121.83198 -60.5189605 304.1829
## 1848 180.75704 -1.4757038 362.9898
## 1849 155.12220 -27.1201412 337.3645
## 1850 NA NA NA
## 1851 NA NA NA
## 1852 179.91231 -2.4026253 362.2273
## 1853 NA NA NA
## 1854 NA NA NA
## 1855 NA NA NA
## 1856 NA NA NA
## 1857 NA NA NA
## 1858 163.15277 -19.3698584 345.6754
## 1859 142.91473 -39.5856037 325.4151
## 1860 NA NA NA
## 1861 219.20930 36.9568419 401.4618
## 1862 NA NA NA
## 1863 NA NA NA
## 1864 NA NA NA
## 1865 180.75704 -1.4757038 362.9898
## 1866 184.80464 2.5717549 367.0375
## 1867 219.44406 37.1688511 401.7193
## 1868 182.54607 0.1318973 364.9603
## 1869 230.61287 47.9342668 413.2915
## 1870 500.50257 315.3048826 685.7003
## 1871 71.60901 -110.7960614 254.0141
## 1872 686.46524 502.1912626 870.7392
## 1873 NA NA NA
## 1874 NA NA NA
## 1875 NA NA NA
## 1876 116.19733 -66.1297842 298.5244
## 1877 NA NA NA
## 1878 495.33465 312.8197417 677.8496
## 1879 368.59862 186.1275291 551.0697
## 1880 516.80886 333.8253292 699.7924
## 1881 244.10489 61.3800291 426.8298
## 1882 NA NA NA
## 1883 NA NA NA
## 1884 55.41859 -126.9753936 237.8126
## 1885 NA NA NA
## 1886 116.27094 -67.2172960 299.7592
## 1887 621.61741 438.6221262 804.6127
## 1888 363.43965 180.5693576 546.3099
## 1889 175.36023 -6.8730209 357.5935
## 1890 395.38067 212.8140445 577.9473
## 1891 NA NA NA
## 1892 52.72018 -129.6726539 235.1130
## 1893 NA NA NA
## 1894 NA NA NA
## 1895 NA NA NA
## 1896 54.06939 -128.3239986 236.4628
## 1897 585.21328 401.0273068 769.3992
## 1898 NA NA NA
## 1899 368.94948 186.2117920 551.6872
## 1900 NA NA NA
## 1901 114.34365 -67.9954292 296.6827
## 1902 772.80612 590.2907511 955.3215
## 1903 1456.88934 1265.2854381 1648.4932
## 1904 1366.41445 1180.1503618 1552.6785
## 1905 NA NA NA
## 1906 720.91894 538.2019358 903.6359
## 1907 1279.39964 1093.4186194 1465.3807
## 1908 688.97792 506.1471201 871.8087
## 1909 640.51967 457.7629539 823.2764
## 1910 1425.33951 1239.3704978 1611.3085
## 1911 813.30651 629.6262572 996.9868
## 1912 1094.06510 910.0552848 1278.0749
## 1913 1183.07658 998.7401967 1367.4130
## 1914 996.63258 812.3191365 1180.9460
## 1915 1668.38535 1478.8815693 1857.8891
## 1916 1579.24905 1392.6425390 1765.8556
## 1917 406.89419 224.5564549 589.2319
## 1918 682.23191 499.4215973 865.0422
## 1919 620.37061 437.8372137 802.9040
## 1920 1293.45704 1106.4183424 1480.4957
## 1921 561.85044 379.2254762 744.4754
## 1922 893.21192 709.3217978 1077.1020
## 1923 1366.41445 1180.1503618 1552.6785
## 1924 NA NA NA
## 1925 NA NA NA
## 1926 NA NA NA
## 1927 465.30133 282.7607768 647.8419
## 1928 115.08597 -67.2642389 297.4362
## 1929 115.08597 -67.2642389 297.4362
## 1930 622.60038 438.6659563 806.5348
## 1931 233.67841 51.3710869 415.9857
## 1932 102.94315 -79.4089129 285.2952
## 1933 NA NA NA
## 1934 NA NA NA
## 1935 NA NA NA
## 1936 219.93228 37.2906663 402.5739
## 1937 114.34365 -67.9954292 296.6827
## 1938 NA NA NA
## 1939 NA NA NA
## 1940 437.14219 252.2610051 622.0234
## 1941 578.36767 394.7958521 761.9395
## 1942 435.11441 252.5863979 617.6424
## 1943 605.35172 421.5860760 789.1174
## 1944 NA NA NA
## 1945 329.81200 147.0597215 512.5643
## 1946 NA NA NA
## 1947 957.44225 768.9124478 1145.9721
## 1948 673.97056 488.6880207 859.2531
## 1949 242.82033 60.5354948 425.1052
## 1950 205.94703 23.5466645 388.3474
## 1951 581.35511 393.7224648 768.9878
## 1952 NA NA NA
## 1953 624.74502 441.0514281 808.4386
## 1954 962.95208 775.4733775 1150.4308
## 1955 128.34015 -53.9920923 310.6724
## 1956 272.50278 90.1553533 454.8502
## 1957 114.34365 -67.9954292 296.6827
## 1958 126.99094 -55.3405232 309.3224
## 1959 225.58319 43.2696855 407.8967
## 1960 114.34365 -67.9954292 296.6827
## 1961 174.01103 -8.2224762 356.2445
## 1962 122.43886 -59.9030660 304.7808
## 1963 221.24659 38.9919509 403.5012
## 1964 244.58035 61.9648493 427.1959
## 1965 184.80464 2.5717549 367.0375
## 1966 236.23856 52.9989669 419.4782
## 1967 417.76141 233.0068475 602.5160
## 1968 NA NA NA
## 1969 NA NA NA
## 1970 183.45544 1.2226524 365.6882
## 1971 375.68487 192.8083135 558.5614
## 1972 599.65242 415.3412885 783.9635
## 1973 545.05313 362.2124716 727.8938
## 1974 431.95990 248.6315684 615.2882
## 1975 405.06483 221.5642885 588.5654
## 1976 449.14676 266.1743231 632.1192
## 1977 393.42649 210.4052117 576.4478
## 1978 383.98207 201.0151072 566.9490
## 1979 190.20145 7.9676609 372.4352
## 1980 226.97015 44.1428084 409.7975
## 1981 176.70943 -5.5236160 358.9425
## 1982 822.37009 638.9804795 1005.7597
## 1983 NA NA NA
## 1984 376.18935 193.6235406 558.7552
## 1985 397.27210 214.3170118 580.2272
## 1986 NA NA NA
## 1987 NA NA NA
## 1988 97.54634 -84.8078553 279.9005
## 1989 644.44182 456.3515796 832.5321
## 1990 NA NA NA
## 1991 331.49248 149.0093552 513.9756
## 1992 252.32939 70.0059708 434.6528
## 1993 395.76033 213.3443199 578.1763
## 1994 615.34093 432.7808209 797.9010
## 1995 950.48528 766.1145200 1134.8560
## 1996 741.35896 558.5853794 924.1325
## 1997 691.13599 508.1696106 874.1024
## 1998 336.38481 153.9358994 518.8337
## 1999 474.41894 292.1029908 656.7349
## 2000 415.49388 233.2460364 597.7417
## 2001 403.11322 220.6201982 585.6062
## 2002 936.79127 752.9667204 1120.6158
## 2003 353.12809 170.8075399 535.4486
## 2004 317.49598 135.0531412 499.9388
## 2005 1199.04096 1012.3590284 1385.7229
## 2006 368.47380 186.0882894 550.8593
## 2007 471.72053 289.4030557 654.0380
## 2008 NA NA NA
## 2009 478.46654 296.1525156 660.7806
## 2010 409.35475 226.9032597 591.8062
## 2011 601.84891 419.2751674 784.4227
## 2012 555.67355 373.3276172 738.0195
## 2013 1396.47656 1210.7164257 1582.2367
## 2014 948.59385 764.7781141 1132.4096
## 2015 418.19228 235.9451728 600.4394
## 2016 447.43489 265.0945745 629.7752
## 2017 366.01324 183.6829643 548.3435
## 2018 409.35475 226.9032597 591.8062
## 2019 397.10953 214.6946993 579.5244
## 2020 420.65284 238.1633335 603.1424
## 2021 705.43498 522.8356851 888.0343
## 2022 384.22439 201.7180802 566.7307
## 2023 354.93340 172.1551680 537.7116
## 2024 258.57092 76.3058734 440.8360
## 2025 440.68888 258.3393232 623.0384
## 2026 513.74779 331.1345699 696.3610
## 2027 930.97778 747.8095817 1114.1460
## 2028 457.11715 274.7537039 639.4806
## 2029 463.52292 280.9071055 646.1387
## 2030 465.81924 283.3894828 648.2490
## 2031 453.27154 271.0156029 635.5275
## 2032 766.19746 583.3337775 949.0611
## 2033 351.77889 169.4583976 534.0994
## 2034 565.11796 382.7743756 747.4616
## 2035 632.57807 450.1794591 814.9767
## 2036 589.40360 407.0547080 771.7525
## 2037 629.87967 447.4856723 812.2737
## 2038 466.32372 284.0025811 648.6449
## 2039 627.18126 444.7916842 809.5708
## 2040 NA NA NA
## 2041 687.70589 505.0887350 870.3230
## 2042 403.11322 220.6201982 585.6062
## 2043 602.89562 420.5367309 785.2545
## 2044 392.84931 210.3593037 575.3393
## 2045 334.42873 152.1621239 516.6953
## 2046 381.21097 198.8306066 563.5913
## 2047 411.20843 228.7180867 593.6988
## 2048 1196.96006 1011.6053138 1382.3148
## 2049 1312.90247 1127.9034853 1497.9015
## 2050 NA NA NA
## 2051 473.06973 290.7530484 655.3864
## 2052 950.68728 765.5077667 1135.8668
## 2053 918.63297 735.7652509 1101.5007
## 2054 684.94284 502.0312414 867.8544
## 2055 319.34966 136.8694785 501.8298
## 2056 503.05467 320.6505095 685.4588
## 2057 350.42969 168.1092050 532.7502
## 2058 462.27612 279.9516964 644.6005
## 2059 258.57092 76.3058734 440.8360
## 2060 406.04946 223.7974719 588.3015
## 2061 360.06357 177.7806003 542.3465
## 2062 401.15714 218.7455354 583.5687
## 2063 465.17651 282.6577133 647.6953
## 2064 378.56094 196.1976738 560.9242
## 2065 578.60999 396.2654637 760.9545
## 2066 376.55648 194.1100848 559.0029
## 2067 396.79451 214.3555607 579.2335
## 2068 409.54421 227.1605065 591.9279
## 2069 610.99084 428.6235277 793.3581
## 2070 666.30812 483.8348170 848.7814
## 2071 403.61769 220.8433437 586.3920
## 2072 404.19578 221.8565754 586.5350
## 2073 581.00590 398.5892852 763.4225
## 2074 NA NA NA
## 2075 176.84678 -5.8069532 359.5005
## 2076 436.93930 253.2515431 620.6271
## 2077 NA NA NA
## 2078 469.35790 283.8170407 654.8988
## 2079 NA NA NA
## 2080 NA NA NA
## 2081 NA NA NA
## 2082 299.56043 115.2769339 483.8439
## 2083 515.43276 329.8388221 701.0267
## 2084 167.26502 -14.9705084 349.5005
## 2085 NA NA NA
## 2086 NA NA NA
## 2087 NA NA NA
## 2088 723.56522 540.1324741 906.9980
## 2089 238.33289 56.0678765 420.5979
## 2090 484.88686 302.1111760 667.6625
## 2091 769.94257 586.5634322 953.3217
## 2092 788.93190 606.0248328 971.8390
## 2093 535.06839 352.5687361 717.5680
## 2094 441.67095 259.0521339 624.2898
## 2095 273.41215 91.1398660 455.6844
## 2096 722.06524 539.0552195 905.0753
## 2097 908.49388 724.0714377 1092.9163
## 2098 184.80464 2.5717549 367.0375
## 2099 554.46169 371.9895830 736.9338
## 2100 608.02580 425.3580238 790.6936
## 2101 683.17596 500.3812024 865.9707
## 2102 315.03542 132.6808480 497.3900
## 2103 554.32435 371.9778788 736.6708
## 2104 315.03542 132.6808480 497.3900
## 2105 313.68622 131.3313292 496.0411
## 2106 359.87410 177.5524956 542.1957
## 2107 291.69410 109.3780608 474.0101
## 2108 259.92013 77.6546701 442.1856
## 2109 189.11888 6.5087009 371.7291
## 2110 191.81729 9.2059725 374.4286
## 2111 353.31756 171.0406592 535.5945
## 2112 646.19491 463.1034018 829.2864
## 2113 321.18708 138.8291382 503.5450
## 2114 235.63449 53.3686204 417.9004
## 2115 716.16396 533.1884911 899.1394
## 2116 282.01184 99.6740929 464.3496
## 2117 NA NA NA
## 2118 460.01755 277.7560113 642.2791
## 2119 669.88710 486.6871510 853.0871
## 2120 235.63449 53.3686204 417.9004
## 2121 312.84150 130.5745624 495.1084
## 2122 487.84631 305.4591634 670.2335
## 2123 441.67095 259.0521339 624.2898
## 2124 441.67095 259.0521339 624.2898
## 2125 NA NA NA
## 2126 247.77731 65.5136859 430.0409
## 2127 947.28050 763.2844318 1131.2766
## 2128 600.63705 418.1597589 783.1143
## 2129 569.10093 386.7002720 751.5016
## 2130 1200.84153 1015.7564915 1385.9266
## 2131 385.81143 203.5422343 568.0806
## 2132 540.70304 357.8667056 723.5394
## 2133 NA NA NA
## 2134 115.08597 -67.2642389 297.4362
## 2135 NA NA NA
## 2136 512.06731 329.0349231 695.0997
## 2137 NA NA NA
## 2138 NA NA NA
## 2139 NA NA NA
## 2140 699.85767 514.5160675 885.1993
## 2141 NA NA NA
## 2142 NA NA NA
## 2143 801.04783 615.1034833 986.9922
## 2144 NA NA NA
## 2145 499.10499 314.8275158 683.3825
## 2146 NA NA NA
## 2147 NA NA NA
## 2148 68.91061 -113.4921133 251.3133
## 2149 613.88767 428.7771563 798.9982
## 2150 130.53407 -51.8125159 312.8807
## 2151 NA NA NA
## 2152 NA NA NA
## 2153 585.02472 401.7594151 768.2900
## 2154 130.53407 -51.8125159 312.8807
## 2155 NA NA NA
## 2156 818.94116 634.7949259 1003.0874
## 2157 NA NA NA
## 2158 699.85767 514.5160675 885.1993
## 2159 639.14358 454.0305599 824.2566
## 2160 543.40144 360.5569776 726.2459
## 2161 NA NA NA
## 2162 592.06169 408.1395374 775.9838
## 2163 581.05428 398.4444719 763.6641
## 2164 434.08022 251.6639204 616.4965
## 2165 464.59486 281.8625585 647.3272
## 2166 675.68789 492.9299905 858.4458
## 2167 395.98755 213.5598245 578.4153
## 2168 770.33403 586.4601939 954.2079
## 2169 481.49176 298.8844453 664.0991
## 2170 443.64946 260.7967770 626.5021
## 2171 764.23075 580.6951752 947.7663
## 2172 200.99507 18.7570539 383.2331
## 2173 621.71981 439.1819429 804.2577
## 2174 NA NA NA
## 2175 375.14264 192.6059645 557.6793
## 2176 576.08478 393.1996484 758.9699
## 2177 783.43459 599.9630785 966.9061
## 2178 1027.23502 842.8177608 1211.6523
## 2179 382.20366 199.8669426 564.5404
## 2180 336.02830 153.6520153 518.4046
## 2181 821.23631 637.4122288 1005.0604
## 2182 380.94433 198.2708660 563.6178
## 2183 769.53859 586.3019923 952.7752
## 2184 523.26581 339.8945397 706.6371
## 2185 589.77879 406.9811533 772.5764
## 2186 371.09503 188.5629906 553.6271
## 2187 509.96325 326.6368139 693.2897
## 2188 255.02780 72.7040802 437.3515
## 2189 440.62424 258.2879496 622.9605
## 2190 596.81667 413.5979999 780.0353
## 2191 884.33289 699.7675352 1068.8982
## 2192 238.83737 56.5124017 421.1623
## 2193 132.38775 -49.9471016 314.7226
## 2194 1363.57897 1172.5419835 1554.6160
## 2195 1420.96346 1232.9481103 1608.9788
## 2196 226.19007 43.9196367 408.4605
## 2197 228.88848 46.6195982 411.1574
## 2198 224.84087 42.5695803 407.1122
## 2199 376.65888 194.1666331 559.1511
## 2200 575.34246 392.6918415 757.9931
## 2201 NA NA NA
## 2202 NA NA NA
## 2203 519.91215 337.0348792 702.7894
## 2204 446.56328 263.5057756 629.6208
## 2205 NA NA NA
## 2206 703.22479 520.1681004 886.2815
## 2207 733.89305 550.2812439 917.5049
## 2208 2086.77535 1883.5143420 2290.0364
## 2209 396.83227 214.0695584 579.5950
## 2210 620.67309 438.1342134 803.2120
## 2211 845.48537 661.8286186 1029.1421
## 2212 242.27810 59.7986259 424.7576
## 2213 179.91231 -2.4026253 362.2273
## 2214 186.65833 4.3432953 368.9734
## 2215 NA NA NA
## 2216 NA NA NA
## 2217 NA NA NA
## 2218 171.31262 -10.9215379 353.5468
## 2219 160.51901 -21.7198005 342.7578
## 2220 186.65833 4.3432953 368.9734
## 2221 186.65833 4.3432953 368.9734
## 2222 170.46790 -11.8490297 352.7848
## 2223 187.50305 5.2698087 369.7363
## 2224 368.40915 185.9717006 550.8466
## 2225 279.31343 96.9779982 461.6489
## 2226 354.40013 171.6674211 537.1328
## 2227 NA NA NA
## 2228 108.33996 -74.0107764 290.6907
## 2229 NA NA NA
## 2230 187.50305 5.2698087 369.7363
## 2231 811.36295 627.0684290 995.6575
## 2232 294.09092 110.8005384 477.3813
## 2233 NA NA NA
## 2234 NA NA NA
## 2235 156.47140 -25.7699805 338.7128
## 2236 269.36454 87.0948362 451.6342
## 2237 574.95100 391.7359129 758.1661
## 2238 107.59764 -74.7404503 289.9357
## 2239 NA NA NA
## 2240 NA NA NA
## 2241 NA NA NA
## 2242 206.39188 24.1505411 388.6332
## 2243 378.69829 196.0732951 561.3233
## 2244 411.68412 229.2139318 594.1543
## 2245 169.11870 -13.1987175 351.4361
## 2246 562.79475 380.1029812 745.4865
## 2247 NA NA NA
## 2248 NA NA NA
## 2249 365.19374 182.4522691 547.9352
## 2250 362.50786 179.9222422 545.0935
## 2251 330.01399 147.3104209 512.7176
## 2252 479.14422 296.6530680 661.6354
## 2253 174.01103 -8.2224762 356.2445
## 2254 NA NA NA
## 2255 171.81710 -10.4993922 354.1336
## 2256 244.85002 60.4674666 429.2326
## 2257 253.17412 70.9101828 435.4380
## 2258 393.09778 210.2053158 575.9902
## 2259 676.44274 493.1917128 859.6938
## 2260 314.23908 131.8178845 496.6603
## 2261 152.42379 -29.8206139 334.6682
## 2262 152.42379 -29.8206139 334.6682
## 2263 441.36656 258.9026531 623.8305
## 2264 NA NA NA
## 2265 167.26502 -14.9705084 349.5005
## 2266 355.10660 172.6745304 537.5387
## 2267 241.26914 58.9003438 423.6379
## 2268 461.60459 279.1309962 644.0782
## 2269 416.46342 233.6363943 599.2905
## 2270 462.63878 279.6478454 645.6297
## 2271 335.51130 152.7861980 518.2364
## 2272 274.99919 92.6283275 457.3701
## 2273 507.56734 324.3390984 690.7956
## 2274 454.85858 272.3894734 637.3277
## 2275 561.69875 376.9111004 746.4864
## 2276 710.81553 527.5066018 894.1244
## 2277 176.20495 -6.1883675 358.5983
## 2278 503.12737 320.4435739 685.8112
## 2279 476.33279 293.5333389 659.1322
## 2280 410.36014 226.4504291 594.2699
## 2281 300.63403 118.2405469 483.0275
## 2282 203.49148 21.0876394 385.8953
## 2283 NA NA NA
## 2284 160.51901 -21.7198005 342.7578
## 2285 476.14333 293.5573721 658.7293
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## 5114 1007.68031 824.5317171 1190.8289
## 5115 NA NA NA
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## 5117 780.78831 598.0602793 963.5163
## 5118 543.22824 360.8832582 725.5732
## 5119 836.53363 653.6504218 1019.4168
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## 5145 1183.26605 998.7616319 1367.7705
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## 5333 NA NA NA
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## 5342 NA NA NA
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## 5391 NA NA NA
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## 5393 NA NA NA
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## 5395 1169.38257 985.5525434 1353.2126
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## 5431 571.67451 389.1652798 754.1837
## 5432 NA NA NA
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## 5478 NA NA NA
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## 5488 NA NA NA
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## 5494 NA NA NA
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## 5504 NA NA NA
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## 5506 NA NA NA
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## 5508 NA NA NA
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## 5510 98.89554 -83.4580442 281.2491
## 5511 776.12203 593.1641332 959.0799
## 5512 NA NA NA
## 5513 NA NA NA
## 5514 NA NA NA
## 5515 132.80160 -52.6447805 318.2480
## 5516 NA NA NA
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## 5518 NA NA NA
## 5519 NA NA NA
## 5520 NA NA NA
## 5521 NA NA NA
## 5522 NA NA NA
## 5523 568.59645 385.9592869 751.2336
## 5524 NA NA NA
## 5525 NA NA NA
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## 5527 58.11699 -124.2783348 240.5123
## 5528 100.24475 -82.1082834 282.5978
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## 5538 346.36956 163.8985581 528.8406
## 5539 793.84855 608.9192270 978.7779
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## 8013 373.16413 190.7934837 555.5348
## 8014 275.50367 93.1994378 457.8079
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## 8078 195.83610 13.3093152 378.3629
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## 8094 182.54607 0.1318973 364.9603
## 8095 NA NA NA
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## 8097 NA NA NA
## 8098 NA NA NA
## 8099 NA NA NA
## 8100 NA NA NA
## 8101 226.93240 44.6200449 409.2447
## 8102 204.84068 22.4387728 387.2426
## 8103 108.33996 -74.0107764 290.6907
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## 8110 NA NA NA
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## 8113 112.38757 -69.9627028 294.7378
## 8114 216.98350 34.5967077 399.3703
## 8115 204.84068 22.4387728 387.2426
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## 8118 108.33996 -74.0107764 290.6907
## 8119 NA NA NA
## 8120 108.33996 -74.0107764 290.6907
## 8121 642.37079 456.4777783 828.2638
## 8122 NA NA NA
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## 8124 174.56389 -7.9662113 357.0940
## 8125 NA NA NA
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## 8127 109.68916 -72.6613682 292.0397
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## 8132 NA NA NA
## 8133 NA NA NA
## 8134 NA NA NA
## 8135 687.65187 504.4466905 870.8571
## 8136 529.17772 346.5031049 711.8523
## 8137 489.32034 306.2471473 672.3935
## 8138 962.75292 776.6472018 1148.8586
## 8139 512.13195 329.6946368 694.5693
## 8140 445.75441 262.6220886 628.8867
## 8141 435.75623 252.6305674 618.8819
## 8142 582.35818 399.5916535 765.1247
## 8143 549.10074 366.2557835 731.9457
## 8144 616.54150 433.1115717 799.9714
## 8145 241.26914 58.9003438 423.6379
## 8146 723.95668 540.3938131 907.5195
## 8147 562.05243 379.4608575 744.6440
## 8148 568.39446 385.3584234 751.4305
## 8149 569.67901 385.8414655 753.5166
## 8150 1088.12322 900.9375130 1275.3089
## 8151 964.88103 780.6686241 1149.0934
## 8152 780.17860 595.1644236 965.1928
## 8153 497.02409 313.8354245 680.2128
## 8154 712.88390 528.0238675 897.7439
## 8155 466.78788 283.4316962 650.1441
## 8156 NA NA NA
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## 8158 812.83788 628.1952735 997.4805
## 8159 NA NA NA
## 8160 531.15813 347.8086952 714.5076
## 8161 799.34586 614.7859788 983.9057
## 8162 NA NA NA
## 8163 585.92255 401.8953617 769.9497
## 8164 NA NA NA
## 8165 NA NA NA
## 8166 NA NA NA
## 8167 NA NA NA
## 8168 NA NA NA
## 8169 NA NA NA
## 8170 NA NA NA
## 8171 365.71075 183.2795002 548.1420
## 8172 324.91967 142.4879930 507.3513
## 8173 109.68916 -72.6613682 292.0397
## 8174 NA NA NA
## 8175 NA NA NA
## 8176 NA NA NA
## 8177 NA NA NA
## 8178 338.98082 156.5593122 521.4023
## 8179 NA NA NA
## 8180 576.69166 394.0382016 759.3451
## 8181 NA NA NA
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## 8183 240.42442 58.1208695 422.7280
## 8184 513.98563 331.6339522 696.3373
## 8185 317.06230 134.0950961 500.0295
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## 8188 98.89554 -83.4580442 281.2491
## 8189 NA NA NA
## 8190 447.67274 265.2965644 630.0489
## 8191 NA NA NA
## 8192 61.11789 -121.2717892 243.5076
## 8193 NA NA NA
## 8194 405.40317 221.2072512 589.5991
## 8195 NA NA NA
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## 8197 241.26914 58.9003438 423.6379
## 8198 NA NA NA
## 8199 1040.90606 852.7635802 1229.0485
## 8200 176.70943 -5.5236160 358.9425
## 8201 450.63778 268.1666866 633.1089
## 8202 179.40784 -2.8249575 361.6406
## 8203 NA NA NA
## 8204 234.52313 52.1509702 416.8953
## 8205 380.00974 197.4972508 562.5222
## 8206 475.97013 293.4359789 658.5043
## 8207 266.02340 83.3021441 448.7447
## 8208 55.41859 -126.9753936 237.8126
## 8209 350.42969 168.1092050 532.7502
## 8210 536.28024 353.9078532 718.6526
## 8211 333.07953 150.8132792 515.3458
## 8212 381.76383 199.4898266 564.0378
## 8213 354.47730 172.1566318 536.7980
## 8214 322.46192 137.3505709 507.5733
## 8215 786.29814 603.7703635 968.8259
## 8216 189.35673 7.0413108 371.6721
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## 8218 511.99460 329.5927327 694.3965
## 8219 NA NA NA
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## 8221 819.73633 636.6718211 1002.8008
## 8222 614.83645 432.3559826 797.3169
## 8223 655.31251 472.8418311 837.7832
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## 8225 437.08111 254.8334834 619.3287
## 8226 612.13805 429.6553155 794.6208
## 8227 74.38193 -113.5184782 262.2823
## 8228 260.77381 74.3527206 447.1949
## 8229 133.16783 -49.5808636 315.9165
## 8230 NA NA NA
## 8231 NA NA NA
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## 8233 NA NA NA
## 8234 368.64700 185.9611034 551.3329
## 8235 648.25955 462.8022869 833.7168
## 8236 NA NA NA
## 8237 334.13520 148.7220636 519.5483
## 8238 278.74431 96.2167395 461.2719
## 8239 681.34687 496.0266495 866.6671
## 8240 504.29791 318.2731923 690.3226
## 8241 260.25756 77.5119591 443.0032
## 8242 NA NA NA
## 8243 263.10674 80.4342926 445.7792
## 8244 NA NA NA
## 8245 101.59395 -80.7585730 283.9465
## 8246 332.25629 148.4240953 516.0885
## 8247 939.82875 756.3182832 1123.3392
## 8248 988.96468 804.6377388 1173.2916
## 8249 NA NA NA
## 8250 NA NA NA
## 8251 NA NA NA
## 8252 383.34025 200.6030822 566.0774
## 8253 219.68191 37.2979173 402.0659
## 8254 338.47634 156.2083556 520.7443
## 8255 NA NA NA
## 8256 900.42245 717.1451459 1083.6998
## 8257 836.72310 654.0271856 1019.4190
## 8258 220.38838 38.0540089 402.7227
## 8259 314.42854 131.9138117 496.9433
## 8260 279.55128 97.2447735 461.8578
## 8261 325.59119 143.1469599 508.0354
## 8262 913.23616 730.3784475 1096.0939
## 8263 613.72509 430.7992087 796.6510
## 8264 400.89050 218.4119937 583.3690
## 8265 1013.37960 830.3400042 1196.4192
## 8266 458.66835 276.4080304 640.9287
## 8267 522.11670 339.2918332 704.9416
## 8268 867.88212 684.0524901 1051.7118
## 8269 666.91053 482.1650335 851.6560
## 8270 834.91780 651.7980756 1018.0375
## 8271 476.33279 293.5333389 659.1322
## 8272 441.75802 259.0562601 624.4598
## 8273 370.04832 187.2019415 552.8947
## 8274 259.92013 77.6546701 442.1856
## 8275 384.72440 201.6695452 567.7793
## 8276 374.63816 191.8863731 557.3899
## 8277 496.16684 312.5564108 679.7773
## 8278 125.64174 -56.6890046 307.9725
## 8279 165.91581 -16.3202661 348.1519
## 8280 330.14328 147.6606813 512.6259
## 8281 555.16907 372.8083357 737.5298
## 8282 330.68361 148.1784184 513.1888
## 8283 618.94496 435.8778820 802.0120
## 8284 1212.09124 1026.6764544 1397.5060
## 8285 NA NA NA
## 8286 251.48467 68.8594553 434.1099
## 8287 239.68209 57.4174290 421.9468
## 8288 NA NA NA
## 8289 606.29603 421.9570682 790.6350
## 8290 171.31262 -10.9215379 353.5468
## 8291 104.29235 -78.0593033 286.6440
## 8292 NA NA NA
## 8293 115.08597 -67.2642389 297.4362
## 8294 NA NA NA
## 8295 NA NA NA
## 8296 313.68622 131.3313292 496.0411
## 8297 253.17412 70.9101828 435.4380
## 8298 NA NA NA
## 8299 NA NA NA
## 8300 230.23768 47.9695034 412.5059
## 8301 506.59780 324.1871580 689.0084
## 8302 55.41859 -126.9753936 237.8126
## 8303 102.94315 -79.4089129 285.2952
## 8304 349.58497 167.2030332 531.9669
## 8305 436.87912 254.4853850 619.2729
## 8306 226.19007 43.9196367 408.4605
## 8307 NA NA NA
## 8308 338.28687 155.9642045 520.6095
## 8309 120.48278 -61.8679155 302.8335
## 8310 413.19589 228.8456020 597.5462
## 8311 302.09626 119.6582046 484.5343
## 8312 NA NA NA
## 8313 NA NA NA
## 8314 620.32223 437.5098690 803.1346
## 8315 1056.32803 872.0186732 1240.6374
## 8316 196.01211 9.6718384 382.3524
## 8317 1028.95253 845.5756982 1212.3294
## 8318 717.48883 534.9717343 900.0059
## 8319 476.00598 293.6605817 658.3514
## 8320 NA NA NA
## 8321 NA NA NA
## 8322 NA NA NA- Con las predicciones del modelo sugiera potenciales ofertas que responda a la solicitud de la vivienda 1. Tenga encuentra que la empresa tiene crédito preaprobado de máximo 350 millones de pesos. Realice un análisis y presente en un mapa al menos 5 ofertas potenciales que debe discutir.
## [1] 670## [1] 730