Post on 01-Mar-2018
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Tabla 1COEFICIENTE DE CORRELACION
Ao
x y
1963 1477.00 2.65 2,181,529.00
1964 1079.30 6.55 1,164,888.49
1965 1053.90 6.30 1,110,705.21
1966 831.50 5.31 691,392.25
1967 1094.40 7.63 1,197,711.36
1968 497.00 2.62 247,009.00
1969 1008.80 5.24 1,017,677.44
1970 1377.40 6.57 1,897,230.76
1971 1446.50 12.48 2,092,362.25
1972 1166.20 9.69 1,360,022.44
1973 1222.80 12.87 1,495,239.84
1974 778.40 4.43 605,906.56
1975 1410.70 11.94 1,990,074.491976 949.30 6.70 901,170.49
1977 846.60 7.23 716,731.56
1978 828.30 4.11 686,080.89
1979 620.50 4.55 385,020.25
1980 590.90 2.49 349,162.81
1981 875.70 5.26 766,850.49
1982 650.30 4.28 422,890.09
1983 1328.60 21.08 1,765,177.96
1984 1949.00 9.67 3,798,601.00
1985 802.30 3.33 643,685.29
PrecipitacionTotalAnual
CaudalesMediosAnuales
X2
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1986 1198.70 6.10 1,436,881.69
1987 1318.40 5.95 1,738,178.56
1988 1285.70 4.15 1,653,024.49
1989 1765.40 6.82 3,116,637.16
1990 878.00 2.98 770,884.001991 1162.30 3.58 1,350,941.29
1992 1116.20 4.74 1,245,902.44
1993 1524.20 7.56 2,323,185.64
1994 1100.90 7.83 1,211,980.81
1995 933.60 4.71 871,608.96
1996 876.60 5.39 768,427.56
1997 992.80 4.89 985,651.84
1998 2295.00 28.61 5,267,025.00
1999 1430.10 9.52 2,045,186.01
2000 1391.40 8.80 1,935,993.96
2001 1324.60 10.90 1,754,565.16
2002 1030.10 10.80 1,061,106.01
2003 735.20 7.37 540,519.04
2004 767.60 6.10 589,209.76
2005 751.90 4.97 565,353.61
2006 1175.30 8.17 1,381,330.09
2007 933.40 6.54 871,235.56
2008 1620.10 11.58 2,624,724.01
SUMA 51492.90 341.04 63596672.57
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Alu#no$Codi%o$Data$
Estacion$CuencaData$Estacion$Cuenca$
Ao
XY
3,914.05 1963
7,069.42 1964
6,639.57 1965
4,415.27 1966
8,350.27 1967
1,302.14 1968
5,286.11 1969
9,049.52 1970
18,052.32 1971
11,300.48 1972
15,737.44 1973
3,448.31 1974
16,843.76 1975
6,360.31 1976
6,120.92 1977
3,404.31 1978
2,823.28 1979
1,471.34 1980
4,606.18 1981
2,783.28 1982
28,006.89 1983
18,846.83 1984
2,671.66 1985
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7,312.07 1986
7,844.48 1987
5,335.66 1988
12,040.03 1989
2,616.44 1990 4,161.03 1991
5,290.79 1992
11,522.95 1993
8,620.05 1994
4,397.26 1995
4,724.87 1996
4,854.79 1997
65,659.95 1998
13,614.55 1999
12,244.32 2000
14,438.14 2001
11,125.08 2002
5,418.42 2003
4,682.36 2004
3,736.94 2005
9,602.20 2006
6,104.44 2007
18,760.76 2008
432611.23
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Ri*eros Matos+ (osi#o
Precipitacion Total Anual
ParonRio "antaCaudales Medios AnualesParonRio "anta
Tabla &INTER'ALO" DE CONFIAN(A PARA a ) b
x y
1477.00 2.65 10.4672 61.1093
1079.30 6.55 7.0714 0.2719
1053.90 6.30 6.8545 0.3075
831.50 5.31 4.9555 0.1256
1094.40 7.63 7.2004 0.1846
497.00 2.62 2.0994 0.2711
1008.80 5.24 6.4694 1.5115
1377.40 6.57 9.6168 9.2829
1446.50 12.48 10.2068 5.1674
1166.20 9.69 7.8134 3.5215
1222.80 12.87 8.2967 20.9149
778.40 4.43 4.5021 0.0052
1410.70 11.94 9.9011 4.1570
949.30 6.70 5.9614 0.5455
846.60 7.23 5.0845 4.6033
828.30 4.11 4.9282 0.6695
620.50 4.55 3.1539 1.9491
590.90 2.49 2.9011 0.1690
875.70 5.26 5.3330 0.0053
650.30 4.28 3.4083 0.7598
1328.60 21.08 9.2001 141.1319
1949.00 9.67 14.4975 23.3046
802.30 3.33 4.7062 1.8940
PrecipitacionTotalAnual
CaudalesMediosAnuales
i
(y - i)2
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1198.70 6.10 8.0909 3.9638
1318.40 5.95 9.1130 10.0046
1285.70 4.15 8.8338 21.9380
1765.40 6.82 12.9298 37.3295
878.00 2.98 5.3526 5.62921162.30 3.58 7.7801 17.6411
1116.20 4.74 7.3865 7.0039
1524.20 7.56 10.8703 10.9579
1100.90 7.83 7.2559 0.3296
933.60 4.71 5.8273 1.2484
876.60 5.39 5.3406 0.0024
992.80 4.89 6.3328 2.0817
2295.00 28.61 17.4519 124.5041
1430.10 9.52 10.0668 0.2990
1391.40 8.80 9.7363 0.8767
1324.60 10.90 9.1660 3.0069
1030.10 10.80 6.6513 17.2116
735.20 7.37 4.1333 10.4764
767.60 6.10 4.4099 2.8564
751.90 4.97 4.2759 0.4818
1175.30 8.17 7.8911 0.0778
933.40 6.54 5.8256 0.5103
1620.10 11.58 11.6891 0.0119
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127,869.9862
1,608.8819 INTER'ALO" DE CONFIA4,291.6740
82,892.6688 497.00 2.0994 1.2745
625.5436 556.93 2.6111 1.2134
387,395.2906 616.87 3.1229 1.1558
12,234.7645 676.80 3.6346 1.1022
66,558.3914 736.73 4.1464 1.0531
106,987.2992 796.67 4.6581 1.0093
2,189.2227 856.60 5.1699 0.9714
10,689.3123 916.53 5.6816 0.9402
116,288.4132 976.47 6.1934 0.9163
84,849.3575 1036.40 6.7051 0.9003
28,937.7079 1096.33 7.2169 0.8928
74,425.7706 1156.27 7.7286 0.8938
84,745.5384 1216.20 8.2404 0.9033
248,912.0558 1276.13 8.7521 0.9211
279,323.7392 1336.07 9.2639 0.9467
59,394.9879 1396.00 9.7756 0.9795
220,065.0079 1455.93 10.2874 1.0189
43,760.0923 1515.87 10.7991 1.0640
688,218.1253 1575.80 11.3109 1.1141
100,559.3036 1635.73 11.8226 1.1687
(xi- )2
xk
yk
Syk
x
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6,286.7662 1695.67 12.3344 1.2272
39,596.6740 1755.60 12.8461 1.2889
27,652.0749 1815.53 13.3579 1.3536
417,301.9566 1875.47 13.8696 1.4207
58,279.2079 1935.40 14.3814 1.4899 1,839.4775 1995.33 14.8931 1.5610
10.3097 2055.27 15.4049 1.6336
163,854.2401 2115.20 15.9166 1.7077
342.6523 2175.13 16.4284 1.7830
34,525.6792 2235.07 16.9401 1.8595
58,957.1184 2295.00 17.4519 1.9368
16,030.3123
1,382,009.8036
96,527.7358
73,978.0871
42,102.5792
7,976.4314
147,617.9923
123,770.8879
135,064.2392
3,123.5949
34,600.0436
250,689.6053
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PRUEBA DE IP!TE"I" PARA EL COEFICIE
Tabla ,(A PARA LA LINEA DE RE-RE"ION
1.2326 2.9661
1.7858 3.4364
2.3368 3.9090
2.8850 4.3842
3.4301 4.8626
3.9717 5.3445
4.5092 5.8305
5.0422 6.3210
5.5702 6.8165 Li#ite Ma.i#o$ &&/022
6.0928 7.3174Li#ite M3ni#o$ 4/522
6.6097 7.8240 N6 Inter*alo ,2
7.1208 8.3365 Inter*alo$ 0//,,,,,
7.6260 8.8547
8.1257 9.3786
8.6200 9.9077
9.1094 10.4418
9.5944 10.9803
10.0755 11.5227
10.5531 12.0686
11.0277 12.6175
1
2
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11.4997 13.1690
11.9695 13.7227
12.4373 14.2784
12.9034 14.8358
13.3681 15.394613.8315 15.9547
14.2938 16.5159
14.7552 17.0780
15.2157 17.6410
15.6755 18.2047
16.1346 18.7691
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TE DE CORRELACI!N
1 Prueba de la 7ipotesis para el coe8ciente
1.1. Fo!"#$%io& ' #$ i*o+i
o / 0
$ / 0
1.2. i# ' i&ii%$%io& ()
0.5
1.3. S#%%i& ' #$ *"$ :1.4. ;+!i&$%io& '# $#o %$#%"#$'o ' #$ *"
$##$&'o %o
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3.569
12.734
2.2. $##$&'o S$ ($i$&G$ ' $)
2.9562.3. $##$&'o S ( $i$&G$ ' )
2.13842D-006
2.4. @o #i!i+ ' %o&
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D&%o&+$!o *"&+o C" +E& "$ ' #$ #H&$ ' %o&
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de correlaci9n
:%
=2 ) *$$ "&$ i& #i&$#
*$$ "&$ i& #i&$#
o ' #$ +$#$ ' + ' +"'&+
, es decir 0, hay buena relacion entre las variables
de la ecduacion de re%resi9n lineal
!*o+$!i&+o ' x (*%i*i+$%io&) y (%o&+i$) 0.0085387
21
2
R
n
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si9n y
2*$$ %$'$ $#o $*oxi!$'o ' x
k
Caudales Medios ;
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" C"i '%i C" #$ %"$%io& #i&$# y 0.648 x - 13.2 &o x*#i%$ '# +o'o # %o!*o+$
;$+$ X @i&$ (;$+$ X) @i!i+ I&io @i!i
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s Precipitaci9n Total ;.=
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!i&+o ' &"+$ $i$# x y
+ S"*io
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