pco - mora
DESCRIPTION
PCO - MORATRANSCRIPT
UNIVERSIDAD NACIONAL JOSÉ FAUSTINO SÁNCHEZ CARRIÓN
FACULTAD DE INGENIERIA
ESCUELA ACADÉMICO PROFESIONAL INGENIERÍA INDUSTRIAL
TÍTULO
“PLANEAMIENTO Y CONTROL DE OPERACIONES”
AUTOR:
Mora Quispe, Jimmy Jeyson
DOCENTE:
Ing. Jose Soto La Rosa
HUACHO-PERÚ
2015
PLANEAMIENTO Y CONTROL DE OPERACIONES
X X1 X2 Y X1Y X2Y X12 X2
2 Y2 X1X2
1 0.0151 1.55 9.2 0.13892
14.26 0.00022801
2.4025 84.64 0.023405
2 0.0153 1.59 10.5 0.16065
16.695 0.00023409
2.5281 110.25
0.024327
3 0.0154 1.62 12.1 0.18634
19.602 0.00023716
2.6244 146.41
0.024948
4 0.0157 1.67 13.5 0.21195
22.545 0.00024649
2.7889 182.25
0.026219
5 0.0158 1.68 14.3 0.22594
24.024 0.00024964
2.8224 204.49
0.026544
6 0.0159 1.69 15.8 0.25122
26.702 0.00025281
2.8561 249.64
0.026871
7 0.0159 1.69 16.9 0.26871
28.561 0.00025281
2.8561 285.61
0.026871
8 0.016 1.7 18.1 0.2896 30.77 0.000256 2.89 327.61
0.0272
TOTAL 0.1251 13.19 110.4 1.73333
183.159
0.00195701
21.7685 1590.9
0.206385
ECUACIÓN
110.400000 = 8.000000 a + 0.125100 b + 13.190000 c
1.733330 = 0.125100 a + 0.001957 b + 0.206385 c
183.159000 = 13.190000 a + 0.206385 b + 21.768500 c
MATRICES
110.4 0.1251 13.19
1.73333 0.00196 0.206385 -0.000000464157600
a=183.159 0.206385 21.7685 -174.2333
8.000000 0.125100 13.190000
0.125100 0.001957 0.206385 0.000000002664000
13.190000 0.206385 21.768500
8.000000 110.400000 13.190000
0.125100 1.733330 0.2063850.000045198000000
b=13.190000 183.159000 21.768500
16966.2162
T
0.000000002664000
8.000000 0.125100 110.400000
0.125100 0.00196 1.733330-0.000000124860000
c=13.190000 0.206385 183.159000
-46.8694 T
0.000000002664000
COEFICIENTE DE CORRELACION
ỹ =ƩY/n 110.4000013.8
8.000000
aƩY+bƩX1Y+ cƩx2y -nỹ2
Ʃy2 - nỹ2
aƩY -19235.36
bƩX1Y 29408.05155
cƩx2y -8584.546824
nỹ2 1523.52 1523.52
Ʃy2 1590.9000
coeficiente 0.979340842 Z= 1.96
CONCLUSIÓN:
el 0.979340842de los datos estimados se encuentran cerca o alrededor de los datos reales
DESVIACION ESTANDAR
y ỹ y- ỹ (y- ỹ)2
9.2 9.31 -0.11 0.01
10.5 10.83 -0.33 0.11
12.1 11.12 0.98 0.96
13.5 13.86 -0.36 0.13
14.3 15.09 -0.79 0.63
15.8 16.32 -0.52 0.27
16.9 16.32 0.58 0.34
18.1 17.55 0.55 0.30
2.76
y = -174.2333 + 16966.2162 0.0151 + -46.8694 1.55 = 9.31
-174.2333 + 16966.2162 0.0153 + -46.8694 1.59 = 10.83
-174.2333 + 16966.2162 0.0154 + -46.8694 1.62 = 11.12
-174.2333 + 16966.2162 0.0157 + -46.8694 1.67 = 13.86
-174.2333 + 16966.2162 0.0158 + -46.8694 1.68 = 15.09
-174.2333 + 16966.2162 0.0159 + -46.8694 1.69 = 16.32
-174.2333 + 16966.2162 0.0159 + -46.8694 1.69 = 16.32
-174.2333 + 16966.2162 0.016 + -46.8694 1.7 = 17.55
DESVIACIÓN Ʃ(y-ỹ)2/(n-1) = 0.627383486
LIMITES DE CONTROL
+ -
y1 = 9.31 +/- 1.96 0.6274 = 10.5387 8.0793
y2 = 10.83 +/- 1.96 0.6274 = 12.0571 9.5978
y3 = 11.12 +/- 1.96 0.6274 = 12.3477 9.8883
y4 = 13.86 +/- 1.96 0.6274 = 15.0941 12.6347
y5 = 15.09 +/- 1.96 0.6274 = 16.3220 13.8627
y6 = 16.32 +/- 1.96 0.6274 = 17.5499 15.0906
y7 = 16.32 +/- 1.96 0.6274 = 17.5499 15.0906
y8 = 17.55 +/- 1.96 0.6274 = 18.7779 16.3185