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