T 3 Estadistica

estudianeshoras esudio

1 13 4

10 216 320 3

PRIMERA PARTEECUACION LINEAL

Año relativo

NAÑO estud

1 1995 12 1996 33 1997 104 1998 165 1999 20

6789

101112

1314151617181920

SUMATORIA 50.0

REGRESIÒN LINEAL

horas dormirAño relativo

(año i-1995)

11.0 -1994 -643,852.210.0 -1992 -643,202.811.0 -1985 -640,930.210.0 -1979 -638,982.111.0 -1975 -637,683.5

y(Xi^2)

1 10.0

9 6.0

100 9.0

256 7.0

400 8.0

Producciòn de carbon (toneladas)

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 221

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

f(x) = 0.0413533835x + 2.1864661654R² = 0.0874783112

f(x) = 0.0037593985x + 10.562406015R² = 0.0031328321

Años vs P. carbòn (Tn)

Años vs P de carbon (Tn) Linear (Años vs P de carbon (Tn) ) Regresion Lineal

Linear (Regresion Lineal)

Años

Pro

du

cciò

n d

e c

arb

on

(T

on

ela

da

s)

766.0 0.0 40.0 0.0

(Yi^2) (Xi*Yi)

100.0 1036.0 1881.0 9049.0 11264.0 160 ∑Y

∑X∑X^2

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 221

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

f(x) = 0.0413533835x + 2.1864661654R² = 0.0874783112

f(x) = 0.0037593985x + 10.562406015R² = 0.0031328321

Años vs P. carbòn (Tn)

Años vs P de carbon (Tn) Linear (Años vs P de carbon (Tn) ) Regresion Lineal

Linear (Regresion Lineal)

Años

Pro

du

cciò

n d

e c

arb

on

(T

on

ela

da

s)

∑X*Y

N

b

330.0 390.0a

R

∑Y^2

50.0766.0

40.0

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 221

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

f(x) = 0.0413533835x + 2.1864661654R² = 0.0874783112

f(x) = 0.0037593985x + 10.562406015R² = 0.0031328321

Años vs P. carbòn (Tn)

Años vs P de carbon (Tn) Linear (Años vs P de carbon (Tn) ) Regresion Lineal

Linear (Regresion Lineal)

Años

Pro

du

cciò

n d

e c

arb

on

(T

on

ela

da

s)

330.0

390.0

20

0.45 Pendiente

0.88 Intersecciòn con el eje Y

5800.0 8006.2475604992 0.7244342566

AÑO

Año relativo

(año i-1995)

1995 01996 11997 21998 31999 42000 52001 62002 72003 82004 92005 102006 112007 122008 132009 142010 152011 162012 172013 182014 19

PRIMERA PARTEECUACION LINEAL

Año relativo

NAÑO

1 1995 02 1996 1

(año i-1995) (Xi)

3 1997 24 1998 35 1999 46 2000 57 2001 68 2002 79 2003 8

10 2004 911 2005 1012 2006 11

13 2007 1214 2008 1315 2009 1416 2010 1517 2011 1618 2012 1719 2013 1820 2014 19

SUMATORIA 190.0

REGRESIÒN LINEAL

Año relativo

(año i-1995)

4,942.0 0 3,539.84,484.0 1 3,864.56,705.0 2 4,189.12,631.0 3 4,513.82,906.0 4 4,838.53,383.0 5 5,163.24,444.0 6 5,487.84,911.0 7 5,812.54,296.0 8 6,137.27,511.0 9 6,461.88,374.0 10 6,786.59,960.0 11 7,111.28,599.0 12 7,435.86,271.0 13 7,760.56,439.0 14 8,085.29,694.0 15 8,409.99,694.0 16 8,734.510,934.0 17 9,059.27,181.0 18 9,383.99,124.0 19 9,708.5

132,483.0

(Xi^2)

0 4,942.0

1 4,484.0

Producciòn de carbon (toneladas) (Y observado)

Producciòn de carbon (toneladas) (Y* ajustado)

Producciòn de carbon (toneladas)

(Yi) observado

4 6,705.0

9 2,631.0

16 2,906.0

25 3,383.0

36 4,444.0

49 4,911.0

64 4,296.0

81 7,511.0

100 8,374.0

121 9,960.0

144 8,599.0

169 6,271.0

196 6,439.0

225 9,694.0

256 9,694.0

289 10,934.0

324 7,181.0

361 9,124.0

2,470.0 0.0 132,483.0

(Yi - Y prom)^2

∑Y1,402.20 1,966,164.84 2,829,628.62 Y prom619.53 383,817.42 4,580,242.02 ∑(Yi - Ŷi)^2

2,515.86 6,329,551.54 6,536.72 ∑(Yi - Yprom)^2-1,882.81 3,544,973.50 15,945,246.92-1,932.48 3,734,478.95 13,824,639.42 R^2-1,780.15 3,168,934.02 10,505,053.32-1,043.82 1,089,560.19 4,753,054.02-901.49 812,684.22 2,934,882.92

-1,841.16 3,389,870.15 5,420,282.421,049.17 1,100,757.69 786,502.921,587.50 2,520,156.25 3,061,975.022,848.83 8,115,832.37 11,127,895.221,163.16 1,352,941.19 3,900,032.52-1,489.51 2,218,640.04 124,714.92-1,646.18 2,709,908.59 34,280.521,284.15 1,649,041.22 9,423,979.02959.48 920,601.87 9,423,979.02

1,874.81 3,514,912.54 18,574,807.02-2,202.86 4,852,592.18 310,081.92-584.53 341,675.32 6,249,250.02

53,717,094.08 123,817,064.55

(Yi^2) (Xi*Yi)

24,423,364.0 020,106,256.0 4484

(Yi - Ŷi) (Yi - Ŷi)^2

44,957,025.0 134106,922,161.0 78938,444,836.0 1162411,444,689.0 1691519,749,136.0 2666424,117,921.0 3437718,455,616.0 3436856,415,121.0 6759970,123,876.0 8374099,201,600.0 10956073,942,801.0 10318839,325,441.0 8152341,460,721.0 9014693,973,636.0 14541093,973,636.0 155104119,552,356.0 18587851,566,761.0 12925883,247,376.0 173356

0.0 1,001,404,329.0 1,474,497.0

132,483.06,624.2

53,717,094.1123,817,064.6

0.56616

190.02,470.0

∑X∑X^2

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22

Años vs P. carbòn (Tn)

Años vs P de carbon (Tn) Regresion Lineal

Años

Pro

du

cciò

n d

e c

arb

on

(T

on

ela

da

s)

∑Y 132,483.0

1,001,404,329.0

∑X*Y 1,474,497.0

N 20

b 324.67 Pendiente

a 3539.79 Intersecciòn con el eje Y

R 4318170.0 5738931.8840966 0.7524344403

∑Y^2

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22

Años vs P. carbòn (Tn)

Años vs P de carbon (Tn) Regresion Lineal

Años

Pro

du

cciò

n d

e c

arb

on

(T

on

ela

da

s)

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22

Años vs P. carbòn (Tn)

Años vs P de carbon (Tn) Regresion Lineal

Años

Pro

du

cciò

n d

e c

arb

on

(T

on

ela

da

s)

AÑO

Año relativo

(año i-1995)

1995 01996 11997 21998 31999 42000 52001 62002 72003 82004 92005 102006 112007 122008 132009 142010 152011 162012 172013 182014 19

PRIMERA PARTEECUACION POLINOMIAL

Año relativo

NAÑO

1 1995 02 1996 13 1997 2

(año i-1995) (Xi)

4 1998 35 1999 46 2000 57 2001 68 2002 79 2003 8

10 2004 911 2005 1012 2006 11

13 2007 1214 2008 1315 2009 1416 2010 1517 2011 1618 2012 1719 2013 1820 2014 19

SUMATORIA 190.0∑ Xi

REGRESIÒN POLINOMIAL

Año relativo

(año i-1995)

4,942.0 0 3,708.54,484.0 1 3,979.96,705.0 2 4,257.22,631.0 3 4,540.42,906.0 4 4,829.53,383.0 5 5,124.64,444.0 6 5,425.64,911.0 7 5,732.54,296.0 8 6,045.37,511.0 9 6,364.18,374.0 10 6,688.89,960.0 11 7,019.48,599.0 12 7,355.96,271.0 13 7,698.36,439.0 14 8,046.69,694.0 15 8,400.99,694.0 16 8,761.110,934.0 17 9,127.27,181.0 18 9,499.29,124.0 19 9,877.2

132,483.0

(Xi^2) (Xi^3) (Xi^4)

0 0 01 1 14 8 16

Producciòn de carbon (toneladas) (Yi observado)

Producciòn de carbon (toneladas) (Y* ajustado)

9 27 8116 64 25625 125 62536 216 129649 343 240164 512 409681 729 6561

100 1000 10000121 1331 14641144 1728 20736169 2197 28561196 2744 38416225 3375 50625256 4096 65536289 4913 83521324 5832 104976361 6859 130321

2,470.0 36,100.0 562,666.0∑ Xi^2 ∑ Xi^3 ∑ Xi^4

(Yi - Y prom)^2

∑Y1,233.54 1,521,620.93 2,829,628.62 Y prom504.15 254,167.22 4,580,242.02 ∑(Yi - Ŷi)^2

2,447.84 5,991,920.67 6,536.72 ∑(Yi - Yprom)^2-1,909.39 3,645,770.17 15,945,246.92-1,923.54 3,700,006.13 13,824,639.42 R^2-1,741.61 3,033,205.39 10,505,053.32-981.60 963,538.56 4,753,054.02-821.51 674,878.68 2,934,882.92

-1,749.34 3,060,190.44 5,420,282.421,146.91 1,315,402.55 786,502.921,685.24 2,840,033.86 3,061,975.022,940.65 8,647,422.42 11,127,895.221,243.14 1,545,397.06 3,900,032.52-1,427.29 2,037,156.74 124,714.92-1,607.64 2,584,506.37 34,280.521,293.09 1,672,081.75 9,423,979.02932.90 870,302.41 9,423,979.02

1,806.79 3,264,490.10 18,574,807.02-2,318.24 5,374,236.70 310,081.92-753.19 567,295.18 6,249,250.02

53,563,623.3 123,817,064.55

(Yi^2) (Xi*Yi) ((Xi^2)*Yi)

4,942.0 24,423,364.0 0 04,484.0 20,106,256.0 4484 44846,705.0 44,957,025.0 13410 26820

(Yi - Ŷi) (Yi - Ŷi)^2

∑ (Yi-Y*i) ^2

Producciòn de carbon (toneladas)

(Yi)

2,631.0 6,922,161.0 7893 236792,906.0 8,444,836.0 11624 464963,383.0 11,444,689.0 16915 845754,444.0 19,749,136.0 26664 1599844,911.0 24,117,921.0 34377 2406394,296.0 18,455,616.0 34368 2749447,511.0 56,415,121.0 67599 6083918,374.0 70,123,876.0 83740 8374009,960.0 99,201,600.0 109560 1205160

8,599.0 73,942,801.0 103188 12382566,271.0 39,325,441.0 81523 10597996,439.0 41,460,721.0 90146 12620449,694.0 93,973,636.0 145410 21811509,694.0 93,973,636.0 155104 248166410,934.0 119,552,356.0 185878 31599267,181.0 51,566,761.0 129258 23266449,124.0 83,247,376.0 173356 3293764

132,483.0 1,001,404,329.0 1,474,497.0 20,515,819.0∑ Yi ∑ (XiYi) ∑ ((Xi^2)Yi)

132,483.06,624.2

53,563,623.3123,817,064.6

0.56740

∑ Xi 190.0∑ Xi^2 2,470.0

36,100.0562,666.0

∑ Xi^3∑ Xi^4

132,483.01,474,497.0

20,515,819.0

N 20

b 268.43 Pendiente

a 3708.46 Determina si la curva es concava o convexa, el grado del punto donde se aleja de la recta

c 2.96 Coeficiente de posiciòn

R 0.75 R^2

∑ Yi

∑ (XiYi)

∑ ((Xi^2)Yi)

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22

Años vs P. carbòn (Tn)

Años vs P de carbon (Tn) Polynomial (Años vs P de carbon (Tn) )

Años

Pro

du

cciò

n d

e c

arb

on

(T

on

ela

da

s)

Determina si la curva es concava o convexa, el grado del punto donde se aleja de la recta

Coeficiente de posiciòn

0.5661575869

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22

Años vs P. carbòn (Tn)

Años vs P de carbon (Tn) Polynomial (Años vs P de carbon (Tn) )

Años

Pro

du

cciò

n d

e c

arb

on

(T

on

ela

da

s)

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22

Años vs P. carbòn (Tn)

Años vs P de carbon (Tn) Polynomial (Años vs P de carbon (Tn) )

Años

Pro

du

cciò

n d

e c

arb

on

(T

on

ela

da

s)

AÑO Año relativo

1995 1 4,942.01996 2 4,484.01997 3 6,705.0 16,131.01998 4 2,631.0 13,820.0 5377.01999 5 2,906.0 12,242.0 4606.72000 6 3,383.0 8,920.0 4080.72001 7 4,444.0 10,733.0 2973.32002 8 4,911.0 12,738.0 3577.72003 9 4,296.0 13,651.0 4246.02004 10 7,511.0 16,718.0 4550.32005 11 8,374.0 20,181.0 5572.72006 12 9,960.0 25,845.0 6727.02007 13 8,599.0 26,933.0 8615.02008 14 6,271.0 24,830.0 8977.72009 15 6,439.0 21,309.0 8276.72010 16 9,694.0 22,404.0 7103.02011 17 9,694.0 25,827.0 7468.02012 18 10,934.0 30,322.0 8609.02013 19 7,181.0 27,809.0 10107.32014 20 9,124.0 27,239.0 9269.7

110,137.7

PRIMERA PARTEECUACION LINEAL

Año relativo

N AÑO (Xi^2)

1995 01996 1

Producciòn de carbon (toneladas)

Total Movil a 3 años (Tn)

Promedio Movil a 3 años (Tn) (Yi observado)

(año i-1995) (Xi)

1997 21 1998 3 92 1999 4 163 2000 5 254 2001 6 365 2002 7 496 2003 8 647 2004 9 818 2005 10 1009 2006 11 121

10 2007 12 14411 2008 13 16912 2009 14 19613 2010 15 22514 2011 16 25615 2012 17 28916 2013 18 32417 2014 19 361

SUMATORIA 187.0 2,465.0 0.0

REGRESIÒN LINEAL

Año relativo

(año i-1998)

4 3,778.6 1,598.42 2,554,946.505 4,164.3 442.36 195,682.376 4,550.0 -469.37 220,308.207 4,935.8 -1,962.44 3,851,170.758 5,321.5 -1,743.83 3,040,943.079 5,707.2 -1,461.23 2,135,193.1110 6,093.0 -1,542.63 2,379,707.3211 6,478.7 -906.02 820,872.2412 6,864.4 -137.42 18,884.2613 7,250.2 1,364.85 1,862,815.5214 7,635.9 1,341.79 1,800,400.4015 8,021.6 255.06 65,055.6016 8,407.3 -1,304.34 1,701,302.8417 8,793.1 -1,325.07 1,755,810.5018 9,178.8 -569.80 324,672.0419 9,564.5 542.80 294,631.8420 9,950.3 -680.59 463,202.75

23,485,599.3

(Yi^2) (Xi*Yi)

Producciòn de carbon (toneladas)(Y* ajustado)

(Yi - Ŷi) (Yi - Ŷi)^2

∑ (Yi-Y*i) ^2

Producciòn de carbon (toneladas) (Yi)

observado

5,377.0 28,912,129.0 161314,606.7 21,221,408.5 18426.684,080.7 16,651,867.6 20403.352,973.3 8,840,691.3 17839.983,577.7 12,799,722.6 25043.694,246.0 18,028,516.0 339684,550.3 20,705,503.1 40952.975,572.7 31,054,650.9 55726.76,727.0 45,252,529.0 739978,615.0 74,218,225.0 1033808,977.7 80,598,558.6 116709.718,276.7 68,503,266.3 115873.387,103.0 50,452,609.0 1065457,468.0 55,771,024.0 1194888,609.0 74,114,881.0 146353

10,107.3 102,158,119.7 181931.949,269.7 85,926,781.9 176123.73

110,137.7 795,210,483.6 1,368,894.1

(Yi - Y prom)^2

∑Y 110,137.7Y prom 6,478.7∑(Yi - Ŷi)^2 23,485,599.3∑(Yi - Yprom)^2 81,662,921.5

1,213,714.383,504,447.87 R^2 0.71241

5,750,485.8112,287,528.118,415,899.984,984,891.503,718,560.95820,866.9161,659.32

4,563,832.986,244,915.743,232,742.66389,766.65978,740.10

4,538,233.2313,167,049.597,789,585.78

81,662,921.54

∑Xi 187.0∑Xi^2 2,465.0

∑Yi 110,137.7

∑Yi^2 795,210,483.6

∑X*Y 1,368,894.1

N 17

b 385.73 Pendiente

a 2235.66 Intersecciòn con el eje Y

R 2675454.1 3103069.1912

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22

f(x) = 385.7344362745x + 2621.3426960784R² = 0.7433820567

Años vs P. carbòn (Tn)

Años vs P de carbon (Tn) Media Movil

AñosP

rod

ucc

iòn

de

ca

rbo

n (

To

ne

lad

as)

Intersecciòn con el eje Y

0.8621960663

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22

f(x) = 385.7344362745x + 2621.3426960784R² = 0.7433820567

Años vs P. carbòn (Tn)

Años vs P de carbon (Tn) Media Movil

Años

Pro

du

cciò

n d

e c

arb

on

(T

on

ela

da

s)

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22

Años vs P. carbòn (Tn)

Media Movil

Años

Pro

du

cciò

n d

e c

arb

on

(T

on

ela

da

s)

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22

Años vs P. carbòn (Tn)

Media Movil

Años

Pro

du

cciò

n d

e c

arb

on

(T

on

ela

da

s)

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22

Años vs P. carbòn (Tn)

Media Movil

Años

Pro

du

cciò

n d

e c

arb

on

(T

on

ela

da

s)

METODO

Regresion lineal 0.75Regresion Polinomial 0.75Media movil a tres periodos 0.86

Valor de R (Coef. de correlaciòn)

0.566 10,0330.567 10,2610.71 10,336

Valor e R^2 (Coef. de determinaciòn)

Exportaciòn de carbòn año 2015 en (Toneladas)