Correlación Lineal Simple

Ing. Sergio De Los Santos Correlación lineal simple www.esmaschido.com

[email protected] Página 1 México D.F.

1 b = ORDENADA AL ORIGEN = TSB0 = PB0 = 1

m = PENDIENTE = TSB1 = PB1 =

95% r = se = IC = 95% TIC =

sx = SSR = MSR = significativo

sy = SSE = MSE =

n F = SST =

IF = PF = RPF =MEDIAS

SUMAS

k X Y XY e sf y min y max k1 2.8 30.18 1

2 26.1 680.81 2

3 22.1 333.41 3

4 46 1109.7 4

5 5.2 217.82 5

6 6

7 7

8 8

9 9

10 10

11 11

12 12

13 13

14 14

15 15

16 16

17 17

18 18

19 19

20 20

21 21

22 22

B0 = SB0 =

B1 = SB1 =

B0 inf B0 sup

r 2 =

B1 inf B1 sup

X2 Y2 e2 ( )Y Y 2 ( )Y Y 2Y

A1

Los resultados impresos en papel pueden aparecer muy redondeados con respecto a las cifras que ustedes pueden obtener con la calculadora. Les sugiero trabajen con todos los dígitos que obtienen pues los cálculos se han realizado con 10 dígitos para cada valor. Sergio De Los Santos http://sergiman.tripod.com

F1

Ordenada en el origen

H1

Desviación estandar de la ordenada en el origen.

J1

Valor t de student para la ordenada en el origen.

L1

Valor de la probabilidad alfa dada la prueba t de student de que el valor de la ordenada en el origen sea diferente de cero.

O1


F2

Pendiente

H2

Desviación estandar de la pendiente

J2

Valor t de student para la pendiente.

L2

Valor de la probabilidad alfa dada la prueba t de student de que el valor de la pendiente sea diferente de cero.

F3

Coeficiente de correlación de Pearson

H3

Desviación estandar del error.

J3

Intervalo de confianza o nivel de significancia para las diferentes pruebas e hipótesis.

L3

Valor de la t de student para el valor de alfa tomada del Intervalo de confianza o nivel de significancia para las diferentes pruebas e hipótesis.

C4

Valor inferior de la ordenada en el origen calculado con su desviación estandar y con la t de student correspondiente al nivel de significancia de las pruebas.

D4

Valor superior de la ordenada en el origen calculado con su desviación estandar y con la t de student correspondiente al nivel de significancia de las pruebas.

F4

Coeficiente de determinacuón de Pearson.

H4

Desviación estandar de x.

J4

Suma de los cuadrados residuales.

L4

Cuadrado media residual.

H5

Desviación estandar de y.

J5

Suma de los cuadrados del error.

L5

Cuadrado media del error.

C6

Valor inferior de la pendiente calculado con su desviación estandar y con la t de student correspondiente al nivel de significancia de las pruebas.

D6

Valor superior de la pendiente calculado con su desviación estandar y con la t de student correspondiente al nivel de significancia de las pruebas.

H6

Valor de F.

J6

Suma de los cuadrados totales.

F7

Valor de la alfa para la prueba F de la correlación.

H7

Intervalo de confianza de la prueba F para la validez de la correlación.

J7

Reciproco del valor de alfa para la prueba F usada en la validez de la correlación.

G9

Y estimada.

I9

SCE es la suma del cuadrado del error.



b = ORDENADA AL ORIGEN = -5.587927 94.97495 TSB0 = -0.0588358 PB0 = 0.956782737059914

m = PENDIENTE = 23.48199 3.685465 TSB1 = 6.3715134 PB1 = 0.007825484255066

95% r = 0.96498 se = 129.3347 IC = 95% TIC = 3.18244929076172

significativo -307.8409 296.66504 0.931187 sx = 17.5466 SSR = 679071.64 MSR = 679071.636748501

sy = 426.9819 SSE = 50182.425 MSE = 16727.4749904996

n 11.753186 35.210799 F = 40.59618 SST = 729254.06

5 IF = 0.992175 PF = 0.007825 RPF = 127.7876220.44 474.384 664.1 370890.992 15480.174 MEDIAS

102.2 2371.92 3320.5 1854454.96 77400.87 2371.92 -5.258E-13 50182.424971 679071.63675 729254.06 SUMAS

X Y XY e sf y min y max2.8 30.18 7.84 910.8324 84.504 60.1616521 -29.9816521 898.89946391 171580.15348 197317.19 155.8829031 -435.92778 556.25109

26.1 680.81 681.21 463502.256 17769.141 607.292078 73.5179224 5404.8849129 17664.557093 42611.693 143.2064891 151.54469 1063.0395

22.1 333.41 488.41 111162.228 7368.361 513.364108 -179.954108 32383.48083 1519.4487859 19873.669 141.8111362 62.057358 964.67086

46 1109.7 2116 1231434.09 51046.2 1074.58373 35.1162714 1233.1525199 360239.71416 403626.42 170.1373081 533.13037 1616.0371

5.2 217.82 27.04 47445.5524 1132.664 116.518434 101.301566 10262.007245 128067.76322 65825.086 152.4061842 -368.50652 601.54339

B0 = SB0 =

B1 = SB1 =

B0 inf B0 sup

r 2 =

B1 inf B1 sup

X2 Y2 e2 ( )Y Y 2 ( )Y Y 2Y

T1


V1


X1


Z1


T2

Pendiente

V2


X2


Z2


T3


V3


X3


Z3


Q4


R4


T4


V4


X4


Z4


V5


X5


Z5


Q6


R6


V6

Valor de F.

X6


T7


V7


X7


U9

Y estimada.

W9




23 23



95% r = se = IC = 95% TIC =


sy = SSE = MSE =

n F = SST =


SUMAS


2 22.2 1293.26 2

3 43.9 2182.92 3

4 22.4 973.22 4

5 45.3 2238.64 5

6 32.6 1822.18 6

7 32.6 1675.18 7

8 37.8 1849.14 8

9 30.5 1426.6 9

10 21.4 1246.42 10

11 11

12 12

13 13

14 14

15 15

16 16

17 17

18 18

19 19

20 20

B0 = SB0 =

B1 = SB1 =

B0 inf B0 sup

r 2 =

B1 inf B1 sup

X2 Y2 e2 ( )Y Y 2 ( )Y Y 2Y

A35


F35


H35


J35


L35


O35


F36

Pendiente

H36


J36


L36


F37


H37


J37


L37


C38


D38


F38


H38


J38


L38


H39


J39


L39


C40


D40


H40

Valor de F.

J40


F41


H41


J41


G43

Y estimada.

I43




b = ORDENADA AL ORIGEN = 63.95238 159.4564 TSB0 = 0.401065 PB0 = 0.698871253424585

m = PENDIENTE = 48.41121 4.951642 TSB1 = 9.7767993 PB1 = 1.00437261701E-05

95% r = 0.960609 se = 136.5217 IC = 95% TIC = 2.30600562645122


sy = 463.1596 SSE = 149105.46 MSE = 18638.1822520917

n 36.992698 59.829729 F = 95.5858 SST = 1930651.1

10 IF = 0.99999 PF = 1E-05 RPF = 99564.64231 1564.7 1037.016 2641351.2 52185.7268 MEDIAS

310 15647 10370.16 26413512 521857.268 15647 -1.3642E-12 149105.45802 1781545.6284 1930651 SUMAS

X Y XY e sf y min y max21.3 939.44 453.69 882547.514 20010.072 1095.11123 -155.67123 24233.531769 220513.61315 390950.07 151.0263911 746.84352 1443.3789

22.2 1293.26 492.84 1672521.43 28710.372 1138.68132 154.578678 23894.567746 181491.91415 73679.674 149.6687456 793.54435 1483.8183

43.9 2182.92 1927.21 4765139.73 95830.188 2189.20465 -6.28465323 39.496866233 390006.06191 382196 156.7870138 1827.6529 2550.7564

22.4 973.22 501.76 947157.168 21800.128 1148.36356 -175.143565 30675.26819 173336.02751 349848.59 149.3834265 803.88454 1492.8426

45.3 2238.64 2052.09 5011509.05 101410.392 2256.98035 -18.340352 336.36851263 479252.08581 454195.12 159.7367902 1888.6264 2625.3343

32.6 1822.18 1062.76 3320339.95 59403.068 1642.15794 180.022059 32407.941552 5999.7326992 66295.95 143.4042137 1311.467 1972.8489

32.6 1675.18 1062.76 2806228.03 54610.868 1642.15794 33.0220585 1090.4563485 5999.7326992 12205.83 143.4042137 1311.467 1972.8489

37.8 1849.14 1428.84 3419318.74 69897.492 1893.89625 -44.7562513 2003.1220318 108370.17188 80906.114 147.0909516 1554.7037 2233.0888

30.5 1426.6 930.25 2035187.56 43511.3 1540.49439 -113.894393 12971.932822 585.91139641 19071.61 143.2065996 1210.2592 1870.7296

21.4 1246.42 457.96 1553562.82 26673.388 1099.95235 146.467649 21452.772179 215990.37717 101302.16 150.8696444 752.0461 1447.8586

B0 = SB0 =

B1 = SB1 =

B0 inf B0 sup

r 2 =

B1 inf B1 sup

X2 Y2 e2 ( )Y Y 2 ( )Y Y 2Y

T35


V35


X35


Z35


T36

Pendiente

V36


X36


Z36


T37


V37


X37


Z37


Q38


R38


T38


V38


X38


Z38


V39


X39


Z39


Q40


R40


V40

Valor de F.

X40


T41


V41


X41


U43

Y estimada.

W43




21 21

22 22

23 23



95% r = se = IC = 95% TIC =


sy = SSE = MSE =

n F = SST =


SUMAS


2 42.3 832.24 2

3 38.5 695.4 3

4 23.1 397.68 4

5 47.2 819.56 5

6 19.5 128.2 6

7 43.2 520.36 7

8 9.8 217.24 8

9 28.7 607.76 9

10 15.1 162.28 10

11 11

12 12

13 13

14 14

15 15

16 16

17 17

18 18

B0 = SB0 =

B1 = SB1 =

B0 inf B0 sup

r 2 =

B1 inf B1 sup

X2 Y2 e2 ( )Y Y 2 ( )Y Y 2Y

A69


F69


H69


J69


L69


O69


F70

Pendiente

H70


J70


L70


F71


H71


J71


L71


C72


D72


F72


H72


J72


L72


H73


J73


L73


C74


D74


H74

Valor de F.

J74


F75


H75


J75


G77

Y estimada.

I77






95% r = 0.90778 se = 124.1786 IC = 95% TIC = 2.30600562645122


sy = 279.1216 SSE = 123362.69 MSE = 15420.336474976

n 11.288286 24.933584 F = 37.4711 SST = 701179.66

10 IF = 0.999717 PF = 0.000283 RPF = 3536.768727.95 453.86 957.363 276106.865 15875.8184 MEDIAS

279.5 4538.6 9573.63 2761068.65 158758.184 4538.6 2.558E-13 123362.6918 577816.9634 701179.66 SUMAS

X Y XY e sf y min y max12.1 157.88 146.41 24926.0944 1910.348 166.801677 -8.92167711 79.596322401 82402.480742 87604.16 138.4249414 -152.40702 486.01037

42.3 832.24 1789.29 692623.418 35203.752 713.75192 118.48808 14039.425079 67543.810131 143171.42 136.9851364 397.86342 1029.6404

38.5 695.4 1482.25 483581.16 26772.9 644.930366 50.4696337 2547.1839216 36507.884894 58341.572 133.9278335 336.09203 953.7687

23.1 397.68 533.61 158149.382 9186.408 366.021964 31.6580357 1002.2312251 7715.5205177 3156.1924 131.0277681 63.871194 668.17273

47.2 819.56 2227.84 671678.594 38683.232 802.495503 17.0644974 291.19707263 121546.71365 133736.49 142.1482174 474.70091 1130.2901

19.5 128.2 380.25 16435.24 2499.9 300.822598 -172.622598 29798.561193 23420.446541 106054.44 132.617484 -4.9940667 606.63926

43.2 520.36 1866.24 270774.53 22479.552 730.051762 -209.691762 43970.634956 76281.889272 4422.25 137.8336778 412.20653 1047.897

9.8 217.24 96.04 47193.2176 2128.952 125.146526 92.0934738 8481.2079256 108052.54789 55989.024 140.8758097 -199.71388 450.00694

28.7 607.76 823.69 369372.218 17442.712 467.443201 140.316799 19688.80397 184.50336024 23685.21 130.258566 167.06622 767.82019

15.1 162.28 228.01 26334.7984 2450.428 221.134483 -58.8544827 3463.8501341 54161.166402 85018.896 135.6752809 -91.733478 534.00244

B0 = SB0 =

B1 = SB1 =

B0 inf B0 sup

r 2 =

B1 inf B1 sup

X2 Y2 e2 ( )Y Y 2 ( )Y Y 2Y

T69


V69


X69


Z69


T70

Pendiente

V70


X70


Z70


T71


V71


X71


Z71


Q72


R72


T72


V72


X72


Z72


V73


X73


Z73


Q74


R74


V74

Valor de F.

X74


T75


V75


X75


U77

Y estimada.

W77




19 19

20 20

21 21

22 22

23 23



95% r = se = IC = 95% TIC =


sy = SSE = MSE =

n F = SST =


SUMAS


2 43.2 860.52 2

3 34.1 943.31 3

4 36.2 914.82 4

5 10.5 79.15 5

6 6

7 7

8 8

9 9

10 10

11 11

12 12

13 13

14 14

15 15

16 16

B0 = SB0 =

B1 = SB1 =

B0 inf B0 sup

r 2 =

B1 inf B1 sup

X2 Y2 e2 ( )Y Y 2 ( )Y Y 2Y

A103


F103


H103


J103


L103


O103


F104

Pendiente

H104


J104


L104


F105


H105


J105


L105


C106


D106


F106


H106


J106


L106


H107


J107


L107


C108


D108


H108

Valor de F.

J108


F109


H109


J109


G111

Y estimada.

I111






95% r = 0.92132 se = 166.1676 IC = 95% TIC = 3.18244929076172


sy = 370.1224 SSE = 82835.015 MSE = 27611.6717673045

n 5.5877025 44.167664 F = 16.84532 SST = 547962.46

5 IF = 0.973822 PF = 0.026178 RPF = 38.20006133.7 739.07 1285.998 655816.957 28645.9738 MEDIAS

168.5 3695.35 6429.99 3279084.78 143229.869 3695.35 -2.8422E-14 82835.015302 465127.4441 547962.46 SUMAS


43.2 860.52 1866.24 740494.67 37174.464 975.40799 -114.88799 13199.250245 55855.645514 14750.103 190.9183129 367.82014 1582.9958

34.1 943.31 1162.81 889833.756 32166.871 749.021073 194.288927 37748.187053 99.023859084 41713.978 182.0436336 169.67644 1328.3657

36.2 914.82 1310.44 836895.632 33116.484 801.264208 113.555792 12894.917921 3868.1194955 30888.063 182.657143 219.96711 1382.5613

10.5 79.15 110.25 6264.7225 831.075 161.907751 -82.7577508 6848.8453095 333116.26196 435494.41 230.0195855 -570.11792 893.93342

B0 = SB0 =

B1 = SB1 =

B0 inf B0 sup

r 2 =

B1 inf B1 sup

X2 Y2 e2 ( )Y Y 2 ( )Y Y 2Y

T103


V103


X103


Z103


T104

Pendiente

V104


X104


Z104


T105


V105


X105


Z105


Q106


R106


T106


V106


X106


Z106


V107


X107


Z107


Q108


R108


V108

Valor de F.

X108


T109


V109


X109


U111

Y estimada.

W111




17 17

18 18

19 19

20 20

21 21

22 22

23 23



95% r = se = IC = 95% TIC =


sy = SSE = MSE =

n F = SST =


SUMAS


2 37.8 1170.1 2

3 27.3 911.35 3

4 44.1 1419.95 4

5 15.9 693.05 5

6 6

7 7

8 8

9 9

10 10

11 11

12 12

13 13

14 14

B0 = SB0 =

B1 = SB1 =

B0 inf B0 sup

r 2 =

B1 inf B1 sup

X2 Y2 e2 ( )Y Y 2 ( )Y Y 2Y

A137


F137


H137


J137


L137


O137


F138

Pendiente

H138


J138


L138


F139


H139


J139


L139


C140


D140


F140


H140


J140


L140


H141


J141


L141


C142


D142


H142

Valor de F.

J142


F143


H143


J143


G145

Y estimada.

I145






95% r = 0.994457 se = 47.51623 IC = 95% TIC = 3.18244929076172

significativo 94.874709 391.65052 0.988945 sx = 15.15823 SSR = 605909.66 MSR = 605909.655846683

sy = 391.3704 SSE = 6773.3762 MSE = 2257.79205110572

n 20.687901 30.663865 F = 268.3638 SST = 612683.03

5 IF = 0.999505 PF = 0.000495 RPF = 2020.275426.48 923.16 885.008 974760.992 29164.956 MEDIAS

132.4 4615.8 4425.04 4873804.96 145824.78 4615.8 -2.2737E-13 6773.3761533 605909.65585 612683 SUMAS


37.8 1170.1 1428.84 1369134.01 44229.78 1213.811 -43.7109961 1910.6511816 84478.001544 60979.364 54.99217735 1038.8012 1388.8208

27.3 911.35 745.29 830558.823 24879.855 944.214224 -32.8642241 1080.0572257 443.28035247 139.4761 52.0672858 778.51273 1109.9157

44.1 1419.95 1944.81 2016258 62619.795 1375.56906 44.3809407 1969.6678949 204673.95696 246800.3 58.92388271 1188.0468 1563.0913

15.9 693.05 252.81 480318.302 11019.495 651.509157 41.5408427 1725.641609 73794.180319 52950.612 54.62900884 477.65511 825.36321

B0 = SB0 =

B1 = SB1 =

B0 inf B0 sup

r 2 =

B1 inf B1 sup

X2 Y2 e2 ( )Y Y 2 ( )Y Y 2Y

T137


V137


X137


Z137


T138

Pendiente

V138


X138


Z138


T139


V139


X139


Z139


Q140


R140


T140


V140


X140


Z140


V141


X141


Z141


Q142


R142


V142

Valor de F.

X142


T143


V143


X143


U145

Y estimada.

W145




15 15

16 16

17 17

18 18

19 19

20 20

21 21

22 22

23 23



95% r = se = IC = 95% TIC =


sy = SSE = MSE =

n F = SST =


SUMAS


2 27.7 983.26 2

3 44.1 1789.98 3

4 29.4 1162.92 4

5 26.5 927.5 5

6 19.9 876.82 6

7 7

8 8

9 9

10 10

11 11

12 12

B0 = SB0 =

B1 = SB1 =

B0 inf B0 sup

r 2 =

B1 inf B1 sup

X2 Y2 e2 ( )Y Y 2 ( )Y Y 2Y

A171


F171


H171


J171


L171


O171


F172

Pendiente

H172


J172


L172


F173


H173


J173


L173


C174


D174


F174


H174


J174


L174


H175


J175


L175


C176


D176


H176

Valor de F.

J176


F177


H177


J177


G179

Y estimada.

I179






95% r = 0.965626 se = 104.4609 IC = 95% TIC = 2.77645085589029


sy = 359.4473 SSE = 43648.345 MSE = 10912.0863713173

n 26.35128 57.796806 F = 55.20148 SST = 646011.69

6 IF = 0.998248 PF = 0.001752 RPF = 570.7693728.65 1095.07 877.535 1306846.92 33759.87967 MEDIAS

171.9 6570.42 5265.21 7841081.52 202559.278 6570.42 7.9581E-13 43648.345485 602363.34551 646011.69 SUMAS


27.7 983.26 767.29 966800.228 27236.302 1055.09966 -71.8396591 5160.9366195 1597.6281517 12501.476 112.9588828 741.47487 1368.7244

44.1 1789.98 1944.81 3204028.4 78938.118 1745.11397 44.8660348 2012.9610809 422557.15666 482899.91 142.7780893 1348.6976 2141.5303

29.4 1162.92 864.36 1352382.93 34189.848 1126.62553 36.2944677 1317.2883863 995.75161811 4603.6225 112.9106103 813.13477 1440.1163

26.5 927.5 702.25 860256.25 24578.75 1004.61081 -77.1108074 5946.0766233 8182.8655195 28079.705 113.4856985 689.52334 1319.6983

19.9 876.82 396.01 768813.312 17448.718 726.922123 149.897877 22469.373444 135532.85913 47633.063 123.2315175 384.77587 1069.0684

B0 = SB0 =

B1 = SB1 =

B0 inf B0 sup

r 2 =

B1 inf B1 sup

X2 Y2 e2 ( )Y Y 2 ( )Y Y 2Y

T171


V171


X171


Z171


T172

Pendiente

V172


X172


Z172


T173


V173


X173


Z173


Q174


R174


T174


V174


X174


Z174


V175


X175


Z175


Q176


R176


V176

Valor de F.

X176


T177


V177


X177


U179

Y estimada.

W179




13 13

14 14

15 15

16 16

17 17

18 18

19 19

20 20

21 21

22 22

23 23



95% r = se = IC = 95% TIC =


sy = SSE = MSE =

n F = SST =


SUMAS

k X Y XY e sf y min y max k1 14.7 -352.67 1

2 5.6 -20.26 2

3 41.3 -1526.33 3

4 8.3 -254.03 4

5 44.3 -1516.63 5

6 15.2 -413.22 6

7 9.8 -205.68 7

8 49.5 -1720.15 8

9 31.4 -969.84 9

10 48.7 -1740.07 10

B0 = SB0 =

B1 = SB1 =

B0 inf B0 sup

r 2 =

B1 inf B1 sup

X2 Y2 e2 ( )Y Y 2 ( )Y Y 2Y

A205


F205


H205


J205


L205


O205


F206

Pendiente

H206


J206


L206


F207


H207


J207


L207


C208


D208


F208


H208


J208


L208


H209


J209


L209


C210


D210


H210

Valor de F.

J210


F211


H211


J211


G213

Y estimada.

I213





m = PENDIENTE = -38.66592 1.152746 TSB1 = -33.542462 PB1 = 6.81365702035E-10

95% r = -0.996464 se = 62.01467 IC = 95% TIC = 2.30600562645122

significativo 82.890403 252.01366 0.99294 sx = 17.93245 SSR = 4326918.5 MSR = 4326918.54844123

sy = 695.8356 SSE = 30766.553 MSE = 3845.81913984595

n -41.324162 -36.007686 F = 1125.097 SST = 4357685.1

10 IF = 1 PF = 6.81E-10 RPF = 1.468E+0926.88 -871.888 1011.95 1195957.19 -34626.871 MEDIAS

268.8 -8718.88 10119.5 11959571.9 -346268.71 -8718.88 -3.6948E-13 30766.553119 4326918.5484 4357685 SUMAS

X Y XY e sf y min y max14.7 -352.67 216.09 124376.129 -5184.249 -400.93705 48.2670471 2329.7078369 221794.80003 269587.33 66.53972525 -554.37803 -247.49607

5.6 -20.26 31.36 410.4676 -113.456 -49.07714 28.8171398 830.42754516 677017.71169 725270.25 69.51361618 -209.37593 111.22165

41.3 -1526.33 1705.69 2329683.27 -63037.429 -1429.4506 -96.8793776 9385.613807 310876.07788 428294.33 67.1320459 -1584.2575 -1274.6437

8.3 -254.03 68.89 64531.2409 -2108.449 -153.47513 -100.554866 10111.281023 516117.04566 381748.51 68.47723941 -311.38403 4.4337651

44.3 -1516.63 1962.49 2300166.56 -67186.709 -1545.4484 28.818394 830.49983462 453683.60441 415692.25 68.07085056 -1702.4202 -1388.4766

15.2 -413.22 231.04 170750.768 -6280.944 -420.27001 7.05000905 49.702627644 203958.80975 210376.33 66.42049523 -573.43604 -267.10397

9.8 -205.68 96.04 42304.2624 -2015.664 -211.47402 5.79402009 33.570668773 436146.62486 443833.1 67.95626248 -368.18154 -54.766496

49.5 -1720.15 2450.25 2958916.02 -85147.425 -1746.5112 26.3611982 694.91277167 764965.73887 719548.42 70.07361941 -1908.1014 -1584.921

31.4 -969.84 985.96 940589.626 -30452.976 -1046.658 76.8179759 5901.0014289 30544.544493 9594.5943 65.24989981 -1197.1246 -896.19134

48.7 -1740.07 2371.69 3027843.6 -84741.409 -1715.5785 -24.4915409 599.8355749 711813.5908 753740 69.73571428 -1876.3894 -1554.7675

B0 = SB0 =

B1 = SB1 =

B0 inf B0 sup

r 2 =

B1 inf B1 sup

X2 Y2 e2 ( )Y Y 2 ( )Y Y 2Y

T205


V205


X205


Z205


T206

Pendiente

V206


X206


Z206


T207


V207


X207


Z207


Q208


R208


T208


V208


X208


Z208


V209


X209


Z209


Q210


R210


V210

Valor de F.

X210


T211


V211


X211


U213

Y estimada.

W213




11 11

12 12

13 13

14 14

15 15

16 16

17 17

18 18

19 19

20 20

21 21

22 22

23 23



95% r = se = IC = 95% TIC =


sy = SSE = MSE =

n F = SST =


SUMAS


2 19.5 -307.25 2

3 44.4 -911.4 3

4 18.7 -598.45 4

5 5.4 -238.9 5

6 38.8 -921.8 6

7 27.1 -477.85 7

8 8

B0 = SB0 =

B1 = SB1 =

B0 inf B0 sup

r 2 =

B1 inf B1 sup

X2 Y2 e2 ( )Y Y 2 ( )Y Y 2Y

A239


F239


H239


J239


L239


O239


F240

Pendiente

H240


J240


L240


F241


H241


J241


L241


C242


D242


F242


H242


J242


L242


H243


J243


L243


C244


D244


H244

Valor de F.

J244


F245


H245


J245


G247

Y estimada.

I247





m = PENDIENTE = -18.9638 3.757029 TSB1 = -5.0475516 PB1 = 0.003941481568985

95% r = -0.914301 se = 123.9478 IC = 95% TIC = 2.57057763519697


sy = 279.354 SSE = 76815.302 MSE = 15363.0604588649

n -28.621536 -9.3060641 F = 25.47778 SST = 468231.93

7 IF = 0.996059 PF = 0.003941 RPF = 253.711726.9 -606.8642857 879.09571429 435174.537 -19273.2493 MEDIAS

188.3 -4248.05 6153.67 3046221.76 -134912.745 -4248.05 5.9686E-13 76815.302294 391416.62628 468231.93 SUMAS

X Y XY e sf y min y max34.4 -792.4 1183.36 627897.76 -27258.56 -749.09279 -43.3072137 1875.5147614 20228.946369 34423.501 135.4686951 -1097.3256 -400.85999

19.5 -307.25 380.25 94402.5625 -5991.375 -466.53217 159.282165 25370.808141 19693.104056 89768.72 135.391047 -814.56536 -118.49897

44.4 -911.4 1971.36 830649.96 -40466.16 -938.73079 27.330787 746.97191807 110135.37468 92742 147.9208741 -1318.9729 -558.4887

18.7 -598.45 349.69 358142.403 -11191.015 -451.36113 -147.088875 21635.137116 24181.232957 70.800204 136.0400462 -801.06263 -101.65962

5.4 -238.9 29.16 57073.21 -1290.06 -199.14258 -39.7574159 1580.6521163 166236.98594 135397.72 155.1855895 -598.05919 199.77402

38.8 -921.8 1505.44 849715.24 -35765.84 -832.53351 -89.2664934 7968.5068459 50926.59725 99184.504 139.8450816 -1192.0161 -473.05087

27.1 -477.85 734.41 228340.623 -12949.735 -610.65705 132.807046 17637.711395 14.385028529 16644.686 132.5079167 -951.27893 -270.03516

B0 = SB0 =

B1 = SB1 =

B0 inf B0 sup

r 2 =

B1 inf B1 sup

X2 Y2 e2 ( )Y Y 2 ( )Y Y 2Y

T239


V239


X239


Z239


T240

Pendiente

V240


X240


Z240


T241


V241


X241


Z241


Q242


R242


T242


V242


X242


Z242


V243


X243


Z243


Q244


R244


V244

Valor de F.

X244


T245


V245


X245


U247

Y estimada.

W247




9 9

10 10

11 11

12 12

13 13

14 14

15 15

16 16

17 17

18 18

19 19

20 20

21 21

22 22

23 23



95% r = se = IC = 95% TIC =


sy = SSE = MSE =

n F = SST =


SUMAS


2 32 -1207.1 2

3 38.7 -1216.9 3

4 24.5 -669.1 4

5 18.8 -734.3 5

6 17 -559.1 6

B0 = SB0 =

B1 = SB1 =

B0 inf B0 sup

r 2 =

B1 inf B1 sup

X2 Y2 e2 ( )Y Y 2 ( )Y Y 2Y

A273


F273


H273


J273


L273


O273


F274

Pendiente

H274


J274


L274


F275


H275


J275


L275


C276


D276


F276


H276


J276


L276


H277


J277


L277


C278


D278


H278

Valor de F.

J278


F279


H279


J279


G281

Y estimada.

I281






95% r = -0.958533 se = 125.443 IC = 95% TIC = 2.26215888687875


sy = 417.5925 SSE = 141623.54 MSE = 15735.9490945937

n -43.988373 -27.877098 F = 101.8186 SST = 1743835.2

11 IF = 0.999997 PF = 3.32E-06 RPF = 301249.8726.74545454545 -916.3545455 828.12909091 998236.126 -28561.8818 MEDIAS

294.2 -10079.9 9109.42 10980597.4 -314180.7 -10079.9 1.2506E-12 141623.54185 1602211.6654 1743835 SUMAS

X Y XY e sf y min y max9.9 -456.7 98.01 208574.89 -4521.33 -311.05128 -145.648716 21213.548463 366392.03829 211282.3 144.1005545 -637.02963 14.927066

32 -1207.1 1024 1457090.41 -38627.2 -1105.1647 -101.935263 10390.797824 35649.288466 84532.919 132.3503516 -1404.5623 -805.76721

38.7 -1216.9 1497.69 1480845.61 -47094.03 -1345.9141 129.014064 16644.628836 184521.38039 90327.57 137.7633723 -1657.5567 -1034.2714

24.5 -669.1 600.25 447694.81 -16392.95 -835.66922 166.569221 27745.3055 6510.1215264 61134.81 131.2647263 -1132.6109 -538.72755

18.8 -734.3 353.44 539196.49 -13804.84 -630.85263 -103.447371 10701.358488 81511.344082 33143.858 134.0412056 -934.07513 -327.63012

17 -559.1 289 312592.81 -9504.7 -566.17371 7.0737056 50.037310951 122626.6206 127630.81 135.5391237 -872.78474 -259.56267

B0 = SB0 =

B1 = SB1 =

B0 inf B0 sup

r 2 =

B1 inf B1 sup

X2 Y2 e2 ( )Y Y 2 ( )Y Y 2Y

T273


V273


X273


Z273


T274

Pendiente

V274


X274


Z274


T275


V275


X275


Z275


Q276


R276


T276


V276


X276


Z276


V277


X277


Z277


Q278


R278


V278

Valor de F.

X278


T279


V279


X279


U281

Y estimada.

W281




7 35.6 -1201.5 7

8 11.3 -219.3 8

9 35.1 -1368.5 9

10 29.4 -927.7 10

11 41.9 -1519.7 11

12 12

13 13

14 14

15 15

16 16

17 17

18 18

19 19

20 20

21 21

22 22

23 23



95% r = se = IC = 95% TIC =


sy = SSE = MSE =

n F = SST =


SUMAS


2 29.2 105.64 2

3 17.3 96.16 3

4 1 0.2 4

B0 = SB0 =

B1 = SB1 =

B0 inf B0 sup

r 2 =

B1 inf B1 sup

X2 Y2 e2 ( )Y Y 2 ( )Y Y 2Y

A307


F307


H307


J307


L307


O307


F308

Pendiente

H308


J308


L308


F309


H309


J309


L309


C310


D310


F310


H310


J310


L310


H311


J311


L311


C312


D312


H312

Valor de F.

J312


F313


H313


J313


G315

Y estimada.

I315




35.6 -1201.5 1267.36 1443602.25 -42773.4 -1234.5226 33.0225846 1090.4910969 101230.90116 81307.93 134.7617093 -1539.375 -929.67019

11.3 -219.3 127.69 48092.49 -2478.09 -361.35711 142.057114 20180.223535 308022.14932 485885 142.0974885 -682.80421 -39.910017

35.1 -1368.5 1232.01 1872792.25 -48034.35 -1216.5562 -151.943783 23086.913213 90121.043558 204435.51 134.3562579 -1520.4914 -912.62101

29.4 -927.7 864.36 860627.29 -27274.38 -1011.7396 84.039625 7062.6585645 9098.3133935 128.71934 131.3615165 -1308.9002 -714.579

41.9 -1519.7 1755.61 2309488.09 -63675.43 -1460.8988 -58.8011821 3457.5790194 296528.46462 364025.74 141.6997257 -1781.4461 -1140.3515


m = PENDIENTE = -1.593518 6.215679 TSB1 = -0.2563707 PB1 = 0.80787877062146

95% r = -0.113906 se = 148.1807 IC = 95% TIC = 2.57057763519697


sy = 136.156 SSE = 109787.56 MSE = 21957.5126640123

n -17.571402 14.384367 F = 0.065726 SST = 111230.74

7 IF = 0.192121 PF = 0.807879 RPF = 1.237809517.04285714286 11.651428571 371.65 16025.8617 69.19428571 MEDIAS

119.3 81.56 2601.55 112181.032 484.36 81.56 2.8422E-14 109787.56332 1443.1781657 111230.74 SUMAS

X Y XY e sf y min y max25.5 -175.4 650.25 30765.16 -4472.7 -1.8251802 -173.57482 30128.21806 181.61898465 34988.237 166.9058935 -430.86974 427.21938

29.2 105.64 852.64 11159.8096 3084.688 -7.7211966 113.361197 12850.760889 375.298605 8833.8516 175.5116897 -458.88762 443.44523

17.3 96.16 299.29 9246.7456 1663.568 11.2416668 84.9183332 7211.1233105 0.167904695 7141.6986 158.4198687 -395.9889 418.47224

1 0.2 1 0.04 0.2 37.2160091 -37.0160091 1370.1849304 653.54777808 131.13522 187.1839442 -443.95485 518.38687

B0 = SB0 =

B1 = SB1 =

B0 inf B0 sup

r 2 =

B1 inf B1 sup

X2 Y2 e2 ( )Y Y 2 ( )Y Y 2Y

T307


V307


X307


Z307


T308

Pendiente

V308


X308


Z308


T309


V309


X309


Z309


Q310


R310


T310


V310


X310


Z310


V311


X311


Z311


Q312


R312


V312

Valor de F.

X312


T313


V313


X313


U315

Y estimada.

W315




5 22.2 -114.76 5

6 14.8 214.16 6

7 9.3 -44.44 7

8 8

9 9

10 10

11 11

12 12

13 13

14 14

15 15

16 16

17 17

18 18

19 19

20 20

21 21

22 22

23 23



95% r = se = IC = 95% TIC =


sy = SSE = MSE =

n F = SST =


SUMAS


2 26.9 -1039.42 2

B0 = SB0 =

B1 = SB1 =

B0 inf B0 sup

r 2 =

B1 inf B1 sup

X2 Y2 e2 ( )Y Y 2 ( )Y Y 2Y

A341


F341


H341


J341


L341


O341


F342

Pendiente

H342


J342


L342


F343


H343


J343


L343


C344


D344


F344


H344


J344


L344


H345


J345


L345


C346


D346


H346

Valor de F.

J346


F347


H347


J347


G349

Y estimada.

I349




22.2 -114.76 492.84 13169.8576 -2547.672 3.43342895 -118.193429 13969.686647 67.535517768 15979.849 161.6224995 -412.02975 418.89661

14.8 214.16 219.04 45864.5056 3169.568 15.2254616 198.934538 39574.95055 12.773712429 41009.722 159.0240494 -393.5582 424.00913

9.3 -44.44 86.49 1974.9136 -413.292 23.9898103 -68.4298103 4682.6389341 152.23566303 3146.2484 165.5612245 -401.59817 449.57779



95% r = -0.971713 se = 122.8582 IC = 95% TIC = 2.4469136405969

significativo -190.19877 340.03265 0.944227 sx = 13.09918 SSR = 1533242 MSR = 1533241.99045053

sy = 481.6351 SSE = 90564.777 MSE = 15094.1295582456

n -44.402485 -27.054083 F = 101.5787 SST = 1623806.8

8 IF = 0.999945 PF = 5.54E-05 RPF = 18054.128 -925.475 934.14 1059479.82 -31277.5445 MEDIAS

224 -7403.8 7473.12 8475838.57 -250220.356 -7403.8 5.6843E-13 90564.777349 1533241.9905 1623807 SUMAS

X Y XY e sf y min y max8.7 -163.26 75.69 26653.8276 -1420.362 -235.91913 72.6591265 5279.3486611 475487.3027 580971.71 147.1797216 -596.05519 124.21694

26.9 -1039.42 723.61 1080393.94 -27960.398 -886.17389 -153.246112 23484.370832 1544.5774015 12983.463 130.3690971 -1205.1758 -567.17197

B0 = SB0 =

B1 = SB1 =

B0 inf B0 sup

r 2 =

B1 inf B1 sup

X2 Y2 e2 ( )Y Y 2 ( )Y Y 2Y

T341


V341


X341


Z341


T342

Pendiente

V342


X342


Z342


T343


V343


X343


Z343


Q344


R344


T344


V344


X344


Z344


V345


X345


Z345


Q346


R346


V346

Valor de F.

X346


T347


V347


X347


U349

Y estimada.

W349




3 19.4 -772.92 3

4 40.8 -1408.24 4

5 22 -675.8 5

6 49.2 -1703.16 6

7 35.7 -1025.86 7

8 21.3 -615.14 8

9 9

10 10

11 11

12 12

13 13

14 14

15 15

16 16

17 17

18 18

19 19

20 20

21 21

22 22

23 23



95% r = se = IC = 95% TIC =


sy = SSE = MSE =

n F = SST =


SUMAS

k X Y XY e sf y min y max k

B0 = SB0 =

B1 = SB1 =

B0 inf B0 sup

r 2 =

B1 inf B1 sup

X2 Y2 e2 ( )Y Y 2 ( )Y Y 2Y

A375


F375


H375


J375


L375


O375


F376

Pendiente

H376


J376


L376


F377


H377


J377


L377


C378


D378


F378


H378


J378


L378


H379


J379


L379


C380


D380


H380

Valor de F.

J380


F381


H381


J381


G383

Y estimada.

I383




19.4 -772.92 376.36 597405.326 -14994.648 -618.21176 -154.708239 23934.639207 94410.698027 23273.028 133.8294803 -945.68094 -290.74258

40.8 -1408.24 1664.64 1983139.9 -57456.192 -1382.797 -25.4429699 647.34471707 209143.43922 233062 137.9848756 -1720.4341 -1045.16

22 -675.8 484 456705.64 -14867.6 -711.1053 35.3052984 1246.4640943 45954.368969 62337.606 132.0352127 -1034.1841 -388.02654

49.2 -1703.16 2420.64 2900753.99 -83795.472 -1682.9146 -20.2453876 409.87572062 573714.76637 604794 150.4289831 -2051.0013 -1314.8279

35.7 -1025.86 1274.49 1052388.74 -36623.202 -1200.5828 174.722784 30528.051156 75684.292672 10077.148 133.1389354 -1526.3623 -874.80331

21.3 -615.14 453.69 378397.22 -13102.482 -686.0955 70.9554999 5034.6829613 57302.545084 96307.812 132.4575988 -1010.2078 -361.98319



95% r = 0.975978 se = 127.2053 IC = 95% TIC = 2.4469136405969


sy = 540.5468 SSE = 97087.202 MSE = 16181.2003441133

n 27.730928 43.648407 F = 120.402 SST = 2045336.1

8 IF = 0.999966 PF = 3.4E-05 RPF = 29381.35326.875 959.3 913.4575 1175923.5 32604.762 MEDIAS

215 7674.4 7307.66 9407387.98 260838.096 7674.4 -6.8212E-13 97087.202065 1948248.8555 2045336 SUMAS

X Y XY e sf y min y max

B0 = SB0 =

B1 = SB1 =

B0 inf B0 sup

r 2 =

B1 inf B1 sup

X2 Y2 e2 ( )Y Y 2 ( )Y Y 2Y

T375


V375


X375


Z375


T376

Pendiente

V376


X376


Z376


T377


V377


X377


Z377


Q378


R378


T378


V378


X378


Z378


V379


X379


Z379


Q380


R380


V380

Valor de F.

X380


T381


V381


X381


U383

Y estimada.

W383




1 22.4 945.74 1

2 2.8 186.98 2

3 33.1 1038.66 3

4 28.5 1109.9 4

5 42.3 1523.18 5

6 12.5 328.3 6

7 25.5 766.1 7

8 47.9 1775.54 8

9 9

10 10

11 11

12 12

13 13

14 14

15 15

16 16

17 17

18 18

19 19

20 20

21 21

22 22

23 23



95% r = se = IC = 95% TIC =


sy = SSE = MSE =

n F = SST =


SUMAS

B0 = SB0 =

B1 = SB1 =

B0 inf B0 sup

r 2 =

B1 inf B1 sup

( )Y Y 2 ( )Y Y 2

A409


F409


H409


J409


L409


O409


F410

Pendiente

H410


J410


L410


F411


H411


J411


L411


C412


D412


F412


H412


J412


L412


H413


J413


L413


C414


D414


H414

Valor de F.

J414


F415


H415


J415


G417

Y estimada.

I417




22.4 945.74 501.76 894424.148 21184.576 799.588737 146.151263 21360.191762 25507.687622 183.8736 135.7044758 467.5316 1131.6459

2.8 186.98 7.84 34961.5204 523.544 100.071248 86.9087517 7553.1311185 738274.04771 596478.18 155.9986951 -281.64409 481.78658

33.1 1038.66 1095.61 1078814.6 34379.646 1181.46818 -142.808182 20394.176817 49358.701048 6298.0096 136.4323993 847.62988 1515.3065

28.5 1109.9 812.25 1231878.01 31632.15 1017.29571 92.6042899 8575.5545016 3363.502394 22680.36 135.025131 686.90088 1347.6905

42.3 1523.18 1789.29 2320077.31 64430.514 1509.81313 13.3668746 178.67333585 303064.70127 317960.65 143.9477589 1157.5854 1862.0409

12.5 328.3 156.25 107780.89 4103.75 446.261026 -117.961026 13914.803593 263208.98911 398161 142.7933306 96.858077 795.66397

25.5 766.1 650.25 586909.21 19535.55 910.226707 -144.126707 20772.507616 2408.1881046 37326.24 134.9957467 579.90377 1240.5496

47.9 1775.54 2294.41 3152542.29 85048.366 1709.67526 65.864735 4338.1633211 563063.03827 666247.74 151.2626064 1339.5487 2079.8018



95% r = 0.985454 se = 96.22737 IC = 95% TIC = 2.36462255998049


sy = 529.6678 SSE = 64817.953 MSE = 9259.70752919812

n 30.341687 41.398742 F = 235.3817 SST = 2244383.6

9 IF = 0.999999 PF = 1.2E-06 RPF = 829920.4730.22222222222 1129.7555556 1101.6 1525723.57 40895.11778 MEDIAS

272 10167.8 9914.4 13731512.1 368056.06 10167.8 9.0949E-13 64817.952704 2179565.6535 2244384 SUMAS

B0 = SB0 =

B1 = SB1 =

B0 inf B0 sup

r 2 =

B1 inf B1 sup

( )Y Y 2 ( )Y Y 2

T409


V409


X409


Z409


T410

Pendiente

V410


X410


Z410


T411


V411


X411


Z411


Q412


R412


T412


V412


X412


Z412


V413


X413


Z413


Q414


R414


V414

Valor de F.

X414


T415


V415


X415


U417

Y estimada.

W417





2 26.5 1038.1 2

3 49.5 1772.3 3

4 9.9 515.26 4

5 32 1238.8 5

6 47.2 1801.28 6

7 28.8 958.12 7

8 40.6 1588.44 8

9 8 282.2 9

10 10

11 11

12 12

13 13

14 14

15 15

16 16

17 17

18 18

19 19

20 20

21 21

22 22

23 23



95% r = se = IC = 95% TIC =


sy = SSE = MSE =

n F = SST =

IF = PF = RPF =

X2 Y2 e2

B0 = SB0 =

B1 = SB1 =

B0 inf B0 sup

r 2 =

B1 inf B1 sup

( )Y Y 2 ( )Y Y 2Y

A443


F443


H443


J443


L443


O443


F444

Pendiente

H444


J444


L444


F445


H445


J445


L445


C446


D446


F446


H446


J446


L446


H447


J447


L447


C448


D448


H448

Valor de F.

J448


F449


H449


J449





26.5 1038.1 702.25 1077651.61 27509.65 996.238647 41.8613534 1752.3729118 17826.764988 8400.7409 101.8052036 755.50777 1236.9695

49.5 1772.3 2450.25 3141047.29 87728.85 1821.25358 -48.9535768 2396.4526785 478169.51334 412863.36 110.9956226 1558.7908 2083.7163

9.9 515.26 98.01 265492.868 5101.074 400.793088 114.466912 13102.673889 531386.27876 377604.79 112.0094431 135.93303 665.65314

32 1238.8 1024 1534625.44 39641.6 1193.52483 45.2751745 2049.8414239 4066.5197922 11890.691 101.5176842 953.47382 1433.5758

47.2 1801.28 2227.84 3244609.64 85020.416 1738.75208 62.5279163 3909.7403107 370876.77135 450945.08 108.9229257 1481.1905 1996.3137

28.8 958.12 829.44 917993.934 27593.856 1078.74014 -120.62014 14549.218073 2602.572667 29458.764 101.4870472 838.76158 1318.7187

40.6 1588.44 1648.36 2523141.63 64490.664 1502.00867 86.431331 7470.3749796 138572.38046 210391.42 104.2941869 1255.3923 1748.6251

8 282.2 64 79636.84 2257.6 332.639681 -50.439681 2544.1614151 635393.71754 718350.42 113.96483 63.155873 602.12349



95% r = 0.245075 se = 137.8957 IC = 95% TIC = 2.77645085589029


sy = 127.2172 SSE = 76060.872 MSE = 19015.2179831288

n -9.5958716 13.868527 F = 0.255598 SST = 80921.117

6 IF = 0.360252 PF = 0.639748 RPF = 1.5631155

X2 Y2 e2

B0 = SB0 =

B1 = SB1 =

B0 inf B0 sup

r 2 =

B1 inf B1 sup

( )Y Y 2 ( )Y Y 2Y

T443


V443


X443


Z443


T444

Pendiente

V444


X444


Z444


T445


V445


X445


Z445


Q446


R446


T446


V446


X446


Z446


V447


X447


Z447


Q448


R448


V448

Valor de F.

X448


T449


V449


X449




MEDIAS

SUMAS


2 39 2.1 2

3 12.8 207.94 3

4 42.1 49.68 4

5 25.5 0.8 5

6 6.5 -158.4 6

7 7

8 8

9 9

10 10

11 11

12 12

13 13

14 14

15 15

16 16

17 17

18 18

19 19

20 20

21 21

22 22

23 23



95% r = se = IC = 95% TIC =


sy = SSE = MSE =

n F = SST =

X2 Y2 e2

B0 = SB0 =

B1 = SB1 =

B0 inf B0 sup

r 2 =

B1 inf B1 sup

( )Y Y 2 ( )Y Y 2Y

G451

Y estimada.

I451


A477


F477


H477


J477


L477


O477


F478

Pendiente

H478


J478


L478


F479


H479


J479


L479


C480


D480


F480


H480


J480


L480


H481


J481


L481


C482


D482


H482

Valor de F.

J482




26.86666666667 40.593333333 899.30666667 15134.6716 1469.782 MEDIAS

161.2 243.56 5395.84 90808.0296 8818.692 243.56 -5.6843E-14 76060.871933 4860.2454008 80921.117 SUMAS

X Y XY e sf y min y max35.3 141.44 1246.09 20005.2736 4992.832 58.6096976 82.8303024 6860.8589901 324.5893826 10170.05 153.1481116 -366.59851 483.8179

39 2.1 1521 4.41 81.9 66.5141104 -64.4141104 4149.1776224 671.88668527 1481.7367 157.521775 -370.83736 503.86558

12.8 207.94 163.84 43239.0436 2661.632 10.5423225 197.397677 38965.843073 903.06325066 28004.907 160.3669682 -434.70868 455.79333

42.1 49.68 1772.41 2468.1024 2091.528 73.1367266 -23.4567266 550.21802071 1059.0724424 82.567511 162.2588508 -377.367 523.64045

25.5 0.8 650.25 0.64 20.4 37.6736854 -36.8736854 1359.6686723 8.5243442665 1583.5094 149.05627 -376.17372 451.52109

6.5 -158.4 42.25 25090.56 -1029.6 -2.9165425 -155.483457 24175.105554 1893.1092956 39598.347 172.020404 -480.52274 474.68966



95% r = -0.986338 se = 61.83374 IC = 95% TIC = 2.57057763519697

significativo -354.19745 -48.752025 0.972863 sx = 14.72276 SSR = 685335.15 MSR = 685335.152398863

sy = 342.6495 SSE = 19117.059 MSE = 3823.41177737013

n -27.362994 -18.548009 F = 179.247 SST = 704452.21

X2 Y2 e2

B0 = SB0 =

B1 = SB1 =

B0 inf B0 sup

r 2 =

B1 inf B1 sup

( )Y Y 2 ( )Y Y 2Y

U451

Y estimada.

W451


T477


V477


X477


Z477


T478

Pendiente

V478


X478


Z478


T479


V479


X479


Z479


Q480


R480


T480


V480


X480


Z480


V481


X481


Z481


Q482


R482


V482

Valor de F.

X482





SUMAS


2 18.2 -652.72 2

3 44.7 -1233.37 3

4 42.4 -1200.74 4

5 37 -1134 5

6 28.6 -837.96 6

7 45.2 -1145.42 7

8 8

9 9

10 10

11 11

12 12

13 13

14 14

15 15

16 16

17 17

18 18

19 19

20 20

21 21

22 22

23 23

X2 Y2 e2 ( )Y Y 2 ( )Y Y 2Y

F483


H483


J483


G485

Y estimada.

I485




7 IF = 0.999958 PF = 4.16E-05 RPF = 24040.37131.85714285714 -932.7714286 1200.6714286 970698.568 -33980.4243 MEDIAS

223 -6529.4 8404.7 6794889.98 -237862.97 -6529.4 -5.6843E-14 19117.058887 685335.1524 704452.21 SUMAS

X Y XY e sf y min y max6.9 -325.19 47.61 105748.536 -2243.811 -359.8677 34.6776986 1202.542778 328218.68385 369155.19 78.7445904 -562.28678 -157.44862

18.2 -652.72 331.24 426043.398 -11879.504 -619.26487 -33.4551346 1119.2460319 98286.365159 78428.803 70.12804444 -799.53445 -438.99528

44.7 -1233.37 1998.09 1521201.56 -55131.639 -1227.5857 -5.78434517 33.458649054 86915.428004 90359.501 69.67428055 -1406.6888 -1048.4825

42.4 -1200.74 1797.76 1441776.55 -50911.376 -1174.788 -25.9519986 673.50623102 58572.021527 71807.155 68.53014319 -1350.9501 -998.62595

37 -1134 1369 1285956 -41958 -1050.8283 -83.1717066 6917.532784 13937.423326 40492.938 66.68859617 -1222.2565 -879.40008

28.6 -837.96 817.96 702176.962 -23965.656 -858.00208 20.0420809 401.68500546 5590.4553562 8989.207 66.33854094 -1028.5305 -687.47371

45.2 -1145.42 2043.04 1311986.98 -51772.984 -1239.0634 93.6434056 8769.0874074 93814.775176 45219.415 69.9499542 -1418.8752 -1059.2516

X2 Y2 e2 ( )Y Y 2 ( )Y Y 2Y

T483


V483


X483


U485

Y estimada.

W485


Documents

Correlación Lineal Simple