UNIVERSIDAD NACIONAL DE SAN ANTONIO ABAD DEL CUSCO FACULTAD DE INGENIERIA CIVIL HIDROLOGIA GENERAL
ESTUDIANTE: CASIMIRO QUISPE QUISPE
Formulas a utilizar:
a) Hacer una transformación de la ecuación (3.6) a una ecuación lineal:Y=a1+b1x
b) Aplicando los mínimos cuadrados y obtener a1 y b1, a partir de las ecuaciones:
b1=nƩxi . yi−Ʃxi .ƩyinƩ xi2−(Ʃxi)2
X=D i Y=1/i XY X**2 Y**2
10 105 0.00952381 0.0952381 100 9.07029E-05
30 83 0.01204819 0.36144578 900 0.000145159
60 65 0.01538462 0.92307692 3600 0.000236686
120 50 0.02 2.4 14400 0.0004
240 23 0.04347826 10.4347826 57600 0.001890359
∑ x=¿¿460
∑ y=¿¿0.10043488
∑ xy=¿¿14.2145434
∑ x 2=¿¿76600
∑ y2=¿¿0.002762907
a1=Ȳ-b1x=Ʃyin
-b1Ʃxin
Y=a1 + b1x
y=b1= 0.000145115 0.00818756a1= 0.006736416 0.01108986b= 46.42129666 0.0154433a= 6891.096931 0.02415019
0.04156396
Imax122.1364509 1090.17246804 3064.75298786 6041.4075426 120
24.05930359 240
0 20 40 60 80 100 120 1400
50
100
150
200
250
300
I max (mm)
tiem
po e
n (m
in)
X=D i Y=1/i XY X**2 Y**2
Página 1
UNIVERSIDAD NACIONAL DE SAN ANTONIO ABAD DEL CUSCO FACULTAD DE INGENIERIA CIVIL HIDROLOGIA GENERAL
10 102 0.00980392 0.09803922 100 9.61169E-0530 81 0.01234568 0.37037037 900 0.00015241660 64 0.015625 0.9375 3600 0.000244141
120 42 0.02380952 2.85714286 14400 0.000566893240 20 0.05 12 57600 0.0025460 0.1115841
216.2630524 76600 0.003559567
Y=a1 + b1x
y=b1= 0.000174951 0.00797086a1= 0.006221352 0.01146988b= 35.56058537 0.0167184a= 5715.893101 0.02721545
0.04820954
Imax125.456972
410
87.18490034
30
59.81433746
60
36.74383899
120
20.74278182
240
0 20 40 60 80 100 120 1400
50
100
150
200
250
300
X=D i Y=1/i XY X**2 Y**210 83 0.01204819 0.12048193 100 0.00014515930 72 0.01388889 0.41666667 900 0.00019290160 50 0.02 1.2 3600 0.0004
120 28 0.03571429 4.28571429 14400 0.00127551240 18 0.05555556 13.3333333 57600 0.00308642460 0.13720692 19.356196 76600 0.00509999
Página 2
UNIVERSIDAD NACIONAL DE SAN ANTONIO ABAD DEL CUSCO FACULTAD DE INGENIERIA CIVIL HIDROLOGIA GENERAL
2
Y=a1 + b1x
y=b1= 0.00019641
70.0113352
3a1= 0.00937106
20.0152635
6b= 47.7101451
40.0211560
6a= 5091.22069
60.0329410
50.0565110
3
Imax88.2205491
610
65.51552165
30
47.26779162
60
30.35726129
120
17.69565927
240
10 20 30 40 50 60 70 80 90 1000
20
40
60
80
100
120
140
Página 3
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