Tabla 1 COEFICIENTE DE CORRELACION Precipitacion Total Anual
Caudales Medios Anuales
x
y
1953
910.70
1.94
829,374.49
1954
1030.70
1.48
1,062,342.49
1955
1154.10
1.28
1,331,946.81
1956
1090.10
1.35
1,188,318.01
1957
1186.09
1.75
1,406,800.20
1958
664.50
2.06
441,560.25
1959
741.35
1.84
549,602.73
1960
813.26
1.63
661,391.43
1961
791.30
1.54
626,155.69
1962
787.60
1.45
620,313.76
1963
822.80
1.44
676,999.84
1964
745.80
1.53
556,217.64
1965
719.78
1.27
518,081.35
1966
655.30
1.61
429,418.09
1967
818.60
1.33
670,105.96
1968
644.15
1.37
414,929.22
1969
644.10
1.78
414,864.81
1970
787.87
1.59
620,740.72
1971
1023.90
1.64
1,048,371.21
1972
922.10
1.60
850,268.41
1973
837.07
1.92
700,685.12
1974
780.90
1.49
609,804.81
Año
x2
1975
1007.02
1.45
1,014,084.08
1976
709.50
1.58
503,390.25
1977
814.50
1.91
663,410.25
1978
694.90
1.87
482,886.01
1979
573.00
2.27
328,329.00
1980
533.60
2.36
284,728.96
1981
713.10
2.30
508,511.61
1982
833.30
1.95
694,388.89
1983
937.02
2.56
878,005.81
1984
939.80
1.79
883,224.04
1985
598.40
3.31
358,082.56
1986
604.10
2.16
364,936.81
1987
871.40
2.52
759,337.96
1988
823.02
2.43
677,361.33
1989
642.20
1.97
412,420.84
1990
283.20
2.30
80,202.24
1991
358.00
2.71
128,164.00
1992
478.72
2.85
229,172.50
1993
908.90
2.01
826,099.21
1994
558.60
1.66
312,033.96
SUMA
32,454.34
78.83
26,617,063.35
Alu#no$ Codi%o$ Data$ Estacion$ Cuenca$ Data$ Estacion$ Cuenca$
An%eles Parra& Luis Ed%ardo Precipitacion Total Anual Alto Niepos '())(* R+o ,a-a Caudales Medios Anuales Batan R+o ,a-a
INTER.ALO" DE CONFIAN,A Año
xy
Precipitacion Total Anual
Caudales Medios Anuales
x
y
1,768.21
1953
910.70
1.94
1,522.86
1954
1030.70
1.48
1,475.32
1955
1154.10
1.28
1,474.36
1956
1090.10
1.35
2,070.71
1957
1186.09
1.75
1,366.66
1958
664.50
2.06
1,363.47
1959
741.35
1.84
1,322.90
1960
813.26
1.63
1,221.90
1961
791.30
1.54
1,138.08
1962
787.60
1.45
1,182.78
1963
822.80
1.44
1,142.32
1964
745.80
1.53
910.52
1965
719.78
1.27
1,052.30
1966
655.30
1.61
1,087.37
1967
818.60
1.33
882.49
1968
644.15
1.37
1,147.57
1969
644.10
1.78
1,251.40
1970
787.87
1.59
1,680.90
1971
1023.90
1.64
1,478.43
1972
922.10
1.60
1,607.87
1973
837.07
1.92
1,161.59
1974
780.90
1.49
1,464.37
1975
1007.02
1.45
1,119.83
1976
709.50
1.58
1,552.98
1977
814.50
1.91
1,302.36
1978
694.90
1.87
1,301.67
1979
573.00
2.27
1,259.30
1980
533.60
2.36
1,643.10
1981
713.10
2.30
1,622.16
1982
833.30
1.95
2,397.99
1983
937.02
2.56
1,685.37
1984
939.80
1.79
1,981.20
1985
598.40
3.31
1,301.84
1986
604.10
2.16
2,192.30
1987
871.40
2.52
1,999.94
1988
823.02
2.43
1,264.06
1989
642.20
1.97
652.10
1990
283.20
2.30
970.27
1991
358.00
2.71
1,361.96
1992
478.72
2.85
1,829.92
1993
908.90
2.01
929.71
1994
558.60
1.66
59,142.44
abla ( ARA EL ERROR E"TANDAR
ŷi
(y - ŷi)2
(xi - x
)2
1.7180
0.0500
19,037.8024
1.5796
0.0104
66,552.4127
1.4374
0.0253
145,448.8303
283.2
1.5112
0.0252
100,728.5048
319.315443
1.4006
0.1192
170,869.4880
355.430887
2.0017
0.0030
11,712.1002
1.9131
0.0055
984.1080
427.661773
1.8303
0.0414
1,643.2723
463.777217
1.8556
0.0970
345.1251
499.89266
1.8598
0.1721
221.3413
536.008103
1.8193
0.1457
2,507.7603
572.123547
1.9080
0.1416
724.8187
1.9380
0.4529
2,803.0436
644.354434
2.0123
0.1652
13,788.0334
680.469877
1.8241
0.2458
2,104.7489
2.0252
0.4292
16,530.8767
752.700764
2.0252
0.0593
16,543.7365
788.816207
1.8595
0.0735
229.4786
1.5875
0.0029
63,090.1581
861.047094
1.7048
0.0103
22,313.6503
897.162537
1.8028
0.0139
4,140.5247
1.8676
0.1444
66.8722
xk
391.54633
608.23899
716.58532
824.93165
933.27798 969.393424
1.6069
0.0233
54,894.1280
1005.50887
1.9498
0.1380
3,997.0791
1041.62431
1.8288
0.0061
1,745.3631
1077.73975
1.9667
0.0086
6,056.3348
1113.8552
2.1072
0.0271
39,889.0598
1149.97064
2.1526
0.0430
57,179.5495
1186.08608
1.9457
0.1285
3,554.8374
1.8072
0.0195
3,669.6387
1.6876
0.7596
26,993.5653
Li#ite Ma0i
1.6844
0.0119
27,914.9054
Li#ite M+ni
2.0779
1.5202
30,388.3190
2.0713
0.0070
28,433.5330
N2 Inter3al Inter3alo$
1.7632
0.5664
9,737.2575
1.8190
0.3733
2,529.8069
2.0274
0.0035
17,036.1118
2.4412
0.0192
239,632.2359
2.3550
0.1262
171,994.7164
2.2158
0.3959
86,437.6547
1.7200
0.0860
18,544.3232
2.1238
0.2111
45,848.4266
PRUEBA DE IP!TE"I" PARA
Tabla / INTER.ALO" DE CONFIAN,A yk
Syk
θ1
θ2
2.441
0.1941
2.0488
2.8335
2.400
0.1840
2.0276
2.7715
2.358
0.1742
2.0059
2.7099
2.316
0.1646
1.9836
2.6490
2.275
0.1554
1.9605
2.5888
2.233
0.1467
1.9367
2.5294
2.191
0.1384
1.9118
2.4711
2.150
0.1307
1.8856
2.4140
2.108
0.1237
1.8581
2.3583
2.067
0.1176
1.8289
2.3042
2.025
0.1124
1.7977
2.2522
1.983
0.1084
1.7642
2.2024
1.942
0.1056
1.7283
2.1551
1.900
0.1041
1.6896
2.1105
1.858
0.1040
1.6482
2.0687
1.817
0.1054
1.6039
2.0297
1.775
0.1080
1.5568
1.9935
1.734
0.1119
1.5073
1.9598
1.692
0.1170
1.4555
1.9284
1.650
0.1230
1.4017
1.8990
1.609
0.1299
1.3461
1.8712
1.567
0.1375
1.2891
1.8450
1.525
0.1457
1.2309
1.8200
1.484
0.1545
1.1717
1.7960
1.442
0.1636
1.1115
1.7728
1.401
0.1731
1.0507
1.7505
o en $
11456)7
o en $
(4/6()
en
(8 /5611899/
L COEFICIENTE DE CORRELACI!N
16 Prueba de la :ipotesis para el coe;cien 1.1. Form!"#io$ %& !" 'io&*i* +o 0 +" /0 1.2. i&! %& *i$ii#"#io$ () 0.05 1.3. S&!&##i$ %& !" r&" 1.4. &&rmi$"#io$ %&! "!or #"!#!"%o %& !" r +"!!"$%o #o&:#i&$& %& %&&rmi$"#i ;2 0.2283319 +"!!"$%o #o&:#i&$& %& #orr&!"#io$ ( ; -0.4778408 +"!!"$%o # Tc # -3.4403131 1.5. <"!#!"r %& "!"* S& i&$&$ !o* *ii&$&* "!or&* 0.025 => 40 2.02 ?&$i% 1.6. Como /Tc/>Tt se rechaza la hipotesis n =
(6 Inter3alo de con;an=a para los coe;cien S&" !" &#"#i$ !i$&"! y " @ x & &x!i& & " y o$%& 2.7676
2.1. +"!!"$%o S& (Drror &*E$%"r) S& 0.4156 2.2. +"!!"$%o S& 2 (B"ri"$C" %& !o* ;&*i%o*) S&2 0.1727 2.3. +"!!"$%o S" (B"ri"$C" %& ") S"2 0.0711 2.4. +"!!"$%o S ( B"ri"$C" %& ) S2 1.1223D-007 2.5. >o* !imi&* %& #o$:"$C" "r" " θ1 2.2286 θ2 3.3066 2.6. >o* !imi&* %& #o$:"$C" %& θ1 -0.00182962 θ2 -0.00047546
/6 Inte3alo de con;an=a para la linea de re >o* #E!#!o* "r" '"!!"r !o* !mi&* %& #o$i"$C" *& &$#&$r"$ &$ !" "!" 2
96 >ra;cando
D$#o$r"mo* $o* & &*E$ &r" %& !" ! $&" %& #o$:"$C"
e de correlaci
" # $ ( r2 ) "r" $" r&r&*i$ !i$&"! r ) "r" $" r&r&*i$ !i$&"! n 1
−
−
2
R
2
o %& !" "!"* %& %& *%&$ ula, es decir ρ≠0, hay buena relacion entre las variables
tes de la ecuacion de re%resi
resi
Caudales Medios '?*
>i$&"r (
!o & i&r& %&#ir & !" &#"#io$ !i$&"! y 0.648 x - 13.2 $o &x!i#" %&! o%o &! #om
3s Precipitaci
r"mi&$o %& $&*r"* "ri"!& x & y
