Gráficas Simulación y Datos VehÃculos autor: J. Herrera Fecha: Junio 8, 2016 Versión Final
## Warning: NAs introduced by coercion
## Warning: NAs introduced by coercionCaracterización datos Unidad 002.
Vector de Medias:
\(\vec x \, =\, \left ( 2.412776, 10.762483 \right )\)
Matriz de Covarianzas:
\(Sx = \left [ \begin{matrix} 0.4363566&1.068016\\1.068016&5.822021 \end{matrix} \right ]\)
Simulación cambiando las medias de las variables \(\vec x \, =\, \left ( 3,10 \right )\)
Simulación cambiando las varianzas (considerando un 20% de cambio) dejando las correlaciones iguales. La matriz quedarÃa como \(Sx = \left [ \begin{matrix} 0.53&1.06\\1.06&6.96 \end{matrix} \right ]\)
Gráfica bivariada diferentes varianzas
Simulación cambiando las varianzas (considerando un 50% de cambio) dejando las correlaciones iguales. La matriz quedarÃa como \(Sx = \left [ \begin{matrix} 0.654536&1.06\\1.06&8.733 \end{matrix} \right ]\)
Simulación cambiando las varianzas (considerando un 70% de cambio) dejando las correlaciones iguales. La matriz quedarÃa como \(Sx = \left [ \begin{matrix} 0.7418&1.06\\1.06&9.8974357 \end{matrix} \right ]\)
Una vez realizadas las simulaciones se tomarán los datos de los vehiculos procediendo a eliminar extremos usando la relación siguinete.
\(LL = Q_1 \,-\, 1.5 IQ; UL = Q_3 \, + \, 1.5 IQ\)
Donde: LL LÃmite inferior UL LÃmite superior IQ Distancia entre cuartiles
A continuación gráfica por unidad.
## Warning: NAs introduced by coercion
## Warning: NAs introduced by coercion
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 1.993 2.574 2.683 2.672 2.799 3.175
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 9.015 10.830 11.370 11.430 12.080 13.950
## Fecha KmLtT LtHrT D2
## 150 30/11/2013 2.094737 9.193548 11.31279
## 285 14/04/2014 2.067742 12.653061 10.88923
## 291 20/04/2014 1.992920 10.272727 10.73372
## 303 02/05/2014 2.031088 9.190476 12.86334
## 309 08/05/2014 2.076543 9.492187 10.57058## Warning: NAs introduced by coercion
## Warning: NAs introduced by coercion
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 2.310 2.625 2.717 2.712 2.803 3.049
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 8.793 10.490 11.040 11.090 11.700 13.400
## Fecha KmLtT LtHrT D2
## 53 02/08/2013 2.310901 12.710843 11.39739
## 61 10/08/2013 2.310256 9.285714 12.76006
## 89 07/09/2013 2.326761 9.594594 10.70010
## 191 20/12/2013 2.337255 8.793103 14.41356## Warning: NAs introduced by coercion
## Warning: NAs introduced by coercion
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 2.360 2.791 2.905 2.902 3.029 3.402
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 8.862 10.800 11.470 11.510 12.140 14.120
## [1] Fecha KmLtT LtHrT D2
## <0 rows> (or 0-length row.names)## Warning: NAs introduced by coercion
## Warning: NAs introduced by coercion
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 2.384 2.660 2.747 2.747 2.829 3.132
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 9.853 11.390 11.900 11.910 12.420 13.930
## [1] Fecha KmLtT LtHrT D2
## <0 rows> (or 0-length row.names)## Warning: NAs introduced by coercion
## Warning: NAs introduced by coercion
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 2.302 2.682 2.791 2.796 2.900 3.251
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 9.545 11.170 11.640 11.710 12.150 13.750
## Fecha KmLtT LtHrT D2
## 307 18/04/2014 3.151136 13.75000 12.11100
## 330 11/05/2014 2.302041 13.36364 12.02536## Warning: NAs introduced by coercion
## Warning: NAs introduced by coercion
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 0.000 2.590 2.766 2.294 2.891 3.540
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 8.69 10.49 10.96 10.97 11.42 13.01
## [1] Fecha KmLtT LtHrT D2
## <0 rows> (or 0-length row.names)## Warning: NAs introduced by coercion
## Warning: NAs introduced by coercion
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 2.315 2.707 2.817 2.820 2.919 3.230
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 8.833 10.520 11.090 11.120 11.620 13.330
## Fecha KmLtT LtHrT D2
## 236 08/02/2014 2.5 13.33333 10.48405## Warning: NAs introduced by coercion
## Warning: NAs introduced by coercion
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 2.171 2.743 2.900 2.898 3.054 3.467
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 7.692 10.140 11.020 10.940 11.780 13.720
## Fecha KmLtT LtHrT D2
## 39 19/07/2013 2.365714 8.333333 17.43766
## 51 31/07/2013 2.171429 11.666666 12.32688
## 180 18/12/2013 2.588571 7.954545 12.94843
## 200 07/01/2014 2.550000 8.421053 11.27378
## 218 25/01/2014 2.690625 7.804878 11.50410## Warning: NAs introduced by coercion
## Warning: NAs introduced by coercion
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 2.386 2.667 2.759 2.761 2.854 3.157
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 9.298 10.790 11.280 11.330 11.820 13.270
## [1] Fecha KmLtT LtHrT D2
## <0 rows> (or 0-length row.names)## Warning: NAs introduced by coercion
## Warning: NAs introduced by coercion
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 2.470 2.871 2.975 2.970 3.076 3.488
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 8.595 10.040 10.500 10.580 11.180 12.740
## [1] Fecha KmLtT LtHrT D2
## <0 rows> (or 0-length row.names)## Warning: NAs introduced by coercion
## Warning: NAs introduced by coercion
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 2.270 2.546 2.641 2.661 2.760 3.102
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 8.958 11.030 11.650 11.610 12.320 14.050
## Fecha KmLtT LtHrT D2
## 321 29/04/2014 2.27234 9.038461 14.93055## Warning: NAs introduced by coercion
## Warning: NAs introduced by coercion
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 2.270 2.708 2.831 2.826 2.939 3.296
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 8.906 10.750 11.320 11.350 11.950 13.530
## [1] Fecha KmLtT LtHrT D2
## <0 rows> (or 0-length row.names)## Warning: NAs introduced by coercion
## Warning: NAs introduced by coercion
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 2.027 2.492 2.602 2.616 2.746 3.116
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 9.747 11.850 12.550 12.530 13.210 15.210
## Fecha KmLtT LtHrT D2
## 318 26/04/2014 2.027211 15 12.57161## Warning: NAs introduced by coercion
## Warning: NAs introduced by coercion
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 1.665 2.420 2.711 2.678 2.969 3.575
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 8.22 10.49 11.29 11.20 11.98 14.07
## Fecha KmLtT LtHrT D2
## 193 30/12/2013 1.868421 14.07407 13.12498## Warning: NAs introduced by coercion
## Warning: NAs introduced by coercion
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 2.319 2.772 2.905 2.924 3.071 3.533
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 8.958 10.910 11.700 11.690 12.360 14.550
## Fecha KmLtT LtHrT D2
## 270 09/03/2014 3.477419 13.562500 13.14859
## 281 20/03/2014 2.493333 9.000000 14.18657
## 329 07/05/2014 2.318841 9.078947 19.09561## Warning: NAs introduced by coercion
## Warning: NAs introduced by coercion
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 0.0000000 0.0000000 0.0000000 0.0001857 0.0000000 0.0013160
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 9.192 10.960 11.510 11.550 12.090 14.050
## Fecha KmLtT LtHrT D2
## 70 25/08/2013 0.000706714 13.872549 11.49298
## 81 06/09/2013 0.001098901 9.191919 12.58551## Warning: NAs introduced by coercion
## Warning: NAs introduced by coercion
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 2.308 2.725 2.829 2.838 2.940 3.300
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 8.191 10.210 10.890 10.890 11.500 13.370
## Fecha KmLtT LtHrT D2
## 92 19/09/2013 2.339535 9.772727 10.99058## Warning: NAs introduced by coercion
## Warning: NAs introduced by coercion
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 2.155 2.680 2.836 2.829 2.972 3.410
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 8.418 10.180 10.670 10.720 11.350 13.210
## Fecha KmLtT LtHrT D2
## 31 11/07/2013 2.154839 9.117647 13.52872
## 106 04/10/2013 2.236957 8.846154 12.53129
## 231 06/02/2014 2.330303 8.684210 11.06637## Warning: NAs introduced by coercion
## Warning: NAs introduced by coercion
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 1.770 2.409 2.576 2.570 2.732 3.212
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 8.952 10.720 11.350 11.360 12.020 13.810
## Fecha KmLtT LtHrT D2
## 234 08/02/2014 1.770115 11.75676 12.87406## Warning: NAs introduced by coercion
## Warning: NAs introduced by coercion
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 2.229 2.742 2.850 2.852 2.974 3.334
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 9.395 11.150 11.700 11.680 12.240 13.920
## Fecha KmLtT LtHrT D2
## 210 08/01/2014 2.228571 10.937500 12.29884
## 275 14/03/2014 2.255882 9.714286 16.77932## Warning: NAs introduced by coercion
## Warning: NAs introduced by coercion
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 2.205 2.722 2.839 2.857 2.994 3.376
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 8.704 10.750 11.430 11.460 12.140 14.130
## Fecha KmLtT LtHrT D2
## 201 01/01/2014 3.341861 13.870968 12.05763
## 224 26/01/2014 2.360000 9.375000 10.71324
## 235 06/02/2014 2.205000 9.090909 16.29207## Warning: NAs introduced by coercion
## Warning: NAs introduced by coercion
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 2.591 2.967 3.073 3.071 3.173 3.522
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 10.38 14.25 15.66 15.55 17.03 21.22
## Fecha KmLtT LtHrT D2
## 17 27/06/2013 2.591195 12.04545 10.74470
## 79 28/08/2013 2.591304 11.50000 11.66728
## 128 16/10/2013 3.521569 11.59091 10.75500## Warning: NAs introduced by coercion
## Warning: NAs introduced by coercion
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 2.247 2.666 2.790 2.787 2.909 3.326
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 8.65 10.48 11.12 11.15 11.70 13.53
## Fecha KmLtT LtHrT D2
## 92 14/09/2013 2.251515 10.00000 11.53089
## 300 25/04/2014 2.246575 13.19277 11.35795