Hidroku New - Copy

Data Perhitungan Evapotranspirasi

Letak LintangSuhu Rata-rata Bulanan RH min n U

jan feb mar apr may jun jul aug sep oct nov dec % jam/hari m/dt

9˚ LU 26.0 28 26 29.5 27.5 28.5 29.5 30 28.5 30.5 29.5 27.5 67.5 11.5 9.5

INI DEK JADI KAN MODAL EKSTRA MAUPUN INTERPOLASIMETODE BLANEY - CRIDDLE Hubungan P dan Letak Lintang (LL)

No. Bulan Pt

c LINTANG Januari Februari Maret April Mei Juni(˚C)

1 Januari 9˚ LU 0.29 26 5.8035 0.80 4.6428

LU

12.5 0.27 0.27 0.27 0.30 0.30 0.302 Februari 9˚ LU 0.28 28 5.8593 0.80 4.6874 10 0.27 0.27 0.27 0.29 0.29 0.293 Maret 9˚ LU 0.28 26 5.6034 0.75 4.2025 7.5 0.27 0.27 0.27 0.29 0.29 0.294 April 9˚ LU 0.28 29.5 6.0512 0.70 4.2359 5 0.27 0.27 0.27 0.28 0.28 0.285 Mei 9˚ LU 0.27 27.5 5.5883 0.70 3.9118 2.5 0.27 0.27 0.27 0.28 0.28 0.286 Juni 9˚ LU 0.27 28.5 5.7117 0.70 3.9982 0 0.27 0.27 0.27 0.27 0.27 0.277 Juli 9˚ LU 0.27 29.5 5.8351 0.70 4.0846

LS

2.5 0.28 0.28 0.28 0.28 0.28 0.288 Agustus 9˚ LU 0.27 30 5.8968 0.75 4.4226 5 0.28 0.28 0.28 0.28 0.28 0.289 September 9˚ LU 0.28 28.5 5.9233 0.80 4.7386 7.5 0.29 0.28 0.28 0.28 0.27 0.27

10 Oktober 9˚ LU 0.28 30.5 6.1792 0.80 4.9433 10 0.29 0.28 0.28 0.27 0.26 0.2611 November 9˚ LU 0.28 29.5 6.0512 0.80 4.8410 12.5 0.29 0.28 0.28 0.26 0.25 0.2512 Desember 9˚ LU 0.29 27.5 6.0023 0.80 4.8018

Angka Koreksi ( C ) Menurut Blaney Criddle

BULAN Januari Februari MaretMETODE RADIASI

( C ) 0.80 0.80 0.75

No. Bulant

n/N wRϒ

Rs c(˚C) mm/Hr

1 Januari 9˚ LU 26 0.958 0.755 11.3 8.673 6.548 0.80 Hubungan t dan w

2 Februari 9˚ LU 28 0.958 0.775 11.8 9.057 7.019 0.80 (Untuk Indonesia, EL. 0-500 m)

3 Maret 9˚ LU 26 0.958 0.755 13.9 10.668 8.055 0.75 5.238

4 April 9˚ LU 29.5 0.958 0.790 14.9 11.436 9.034 0.75 5.615w

5 Mei 9˚ LU 27.5 0.958 0.770 17.4 13.355 10.283 0.75 6.0416 Juni 9˚ LU 28.5 0.958 0.740 17.9 13.738 10.166 0.75 6.776 24.0 0.7357 Juli 9˚ LU 29.5 0.958 0.790 18.2 13.969 11.035 0.75 7.712 24.2 0.7378 Agustus 9˚ LU 30 0.958 0.795 17.0 13.048 10.373 0.80 7.625 24.4 0.7399 September 9˚ LU 28.5 0.958 0.740 14.5 11.129 8.235 0.80 8.276 24.6 0.741

10 Oktober 9˚ LU 30.5 0.958 0.800 16.4 12.587 10.070 0.80 8.298 24.8 0.74311 November 9˚ LU 29.5 0.958 0.790 14.4 11.052 8.731 0.80 6.588 25.0 0.74512 Desember 9˚ LU 27.5 0.958 0.770 14.8 11.359 8.746 0.80 8.056 25.2 0.747

(Untuk Indonesia : 50 s/d 100 LS)

Letak Lintang

ET0* ET0

Letak Lintang

ET0*

ET0

Suhu (t0)

UJI KONSISTENSI DATA DI STASIUN C TERHADAP A, B, D

No. Tahun

1 2000 236.8 236.8 255.9 255.92 2001 191.2 428.0 207.2 463.03 2002 261.6 689.6 298.0 761.04 2003 227.2 916.8 246.1 1007.15 2004 200.0 1116.8 216.7 1223.86 2005 188.9 1305.7 188.9 1412.77 2006 243.2 1548.9 263.5 1676.28 2007 212.8 1761.7 212.8 1889.09 2008 152.8 1914.5 165.6 2054.6

10 2009 210.4 2124.9 228.0 2282.511 2010 268.8 2393.7 291.2 2573.7

12 2011 251.2 2644.9 272.1 2845.9

UJI KONSISTENSI DATA DI STASIUN D TERHADAP A, B, C

No. Tahun

1 2000 220.0 220.0 261.5 261.52 2001 179.3 399.3 211.1 472.63 2002 288.9 688.2 288.9 761.54 2003 213.0 901.2 250.9 1012.35 2004 187.5 1088.7 220.8 1233.26 2005 163.5 1252.2 197.4 1430.67 2006 228.0 1480.2 268.5 1699.18 2007 199.5 1679.7 217.2 1916.39 2008 143.3 1823.0 168.7 2085.1

10 2009 197.3 2020.3 232.3 2317.411 2010 252.0 2272.3 296.8 2614.212 2011 235.5 2507.8 277.4 2891.6

Stasiun Hujan C

Komulatif C

Rerata A,B,D

Komulatif A,B,D

Stasiun Hujan D

Komulatif D

Rerata A,B,C

Komulatif A,B,C

0 500 1000 1500 2000 2500 30000

500

1000

1500

2000

2500

3000

Grafik Uji Konsistensi Stasiun C terhadap A, B, D

Komulatif A, B, D (mm)

Ko

mu

lati

f C

(m

m)

0 500 1000 1500 2000 2500 30000

500

1000

1500

2000

2500

3000

Grafik Uji Konsistensi Stasiun D terhadap A, B, C

Komulatif A, B, C (mm)

Ko

mu

lati

f D

(m

m)

0 500 1000 1500 2000 2500 30000

500

1000

1500

2000

2500

3000

Grafik Uji Konsistensi Stasiun D terhadap A, B, C

Komulatif A, B, C (mm)

Ko

mu

lati

f D

(m

m)

DATA CURAH HUJAN BARU TABEL TINGGI HUJAN MAKSIMUM DAERAH TAHUNAN

No. TahunStasiun Hujan

Jumlah Rerata No. TahunA B C D

1 2000 296.0 251.6 236.8 220 1004.4 251.10 1 2000 251.102 2001 239.0 203.2 191.2 179.3 812.7 203.18 2 2001 203.183 2002 327.0 278.0 261.6 288.9 1155.5 288.88 3 2002 288.884 2003 284.0 241.4 227.2 213.0 965.6 241.40 4 2003 241.405 2004 250.0 212.5 200 187.5 850.0 212.50 5 2004 212.506 2005 218.0 185.3 188.90 163.5 755.7 188.93 6 2005 188.937 2006 304.0 258.4 243.2 228.0 1033.6 258.40 7 2006 258.408 2007 212.8 226.1 212.8 199.5 851.2 212.80 8 2007 212.809 2008 191.0 162.4 152.8 143.3 649.5 162.38 9 2008 162.38

10 2009 263.0 223.6 210.4 197.3 894.3 223.58 10 2009 223.5811 2010 336.0 285.6 268.8 252 1142.4 285.60 11 2010 285.6012 2011 314.0 266.9 251.2 235.5 1067.6 266.90 12 2011 266.90

rata - rata 232.97

DENGAN METODE RATA-RATA HITUNG (ARITMATIC MEAN) DENGAN METODE RATA-RATA HITUNG (ARITMATIC MEAN)

Tinggi Hujan (mm)

DATA CURAH HUJAN BARU

No. TahunStasiun Hujan

PERHITUNGAN KOEFISIEN THIESSEN A B C D1 2000 296.0 251.6 236.8 220

Kr2 2001 239.0 203.2 191.2 179.33 2002 327.0 278.0 261.6 288.9

20.1763 A 4.0353 0.35 4 2003 284.0 241.4 227.2 213.06.7659 B 1.3532 0.12 5 2004 250.0 212.5 200 187.5

21.6006 C 4.3201 0.37 6 2005 218.0 185.3 188.90 163.59.7699 D 1.9540 0.17 7 2006 304.0 258.4 243.2 228.0

Jumlah 11.663 1 8 2007 212.8 226.1 212.8 199.59 2008 191.0 162.4 152.8 143.3

10 2009 263.0 223.6 210.4 197.311 2010 336.0 285.6 268.8 25212 2011 314.0 266.9 251.2 235.5

Jumlah 3234.8 2795.0 2644.9 2507.8

CURAH HUJAN HARIAN MAKSIMUM DAERAH TAHUNAN TABEL TINGGI HUJAN MAKSIMUM DAERAH TAHUNAN

DENGAN METODE THIESSEN

No. Tahun No. Tahun(mm) (mm) (mm) (mm) (mm)

1 2000 102.42 29.19 87.72 36.86 256.19 1 2000 256.19

2 2001 82.69 23.58 70.83 30.04 207.14 2 2001 207.14

3 2002 113.14 32.26 96.90 48.40 290.71 3 2002 290.71

4 2003 98.26 28.01 84.16 35.69 246.12 4 2003 246.12

5 2004 86.50 24.66 74.09 31.41 216.66 5 2004 216.66

6 2005 75.43 21.50 69.97 27.39 194.30 6 2005 194.30

7 2006 105.18 29.98 90.09 38.20 263.45 7 2006 263.45

8 2007 73.63 26.23 78.83 33.42 212.11 8 2007 212.11

9 2008 66.09 18.84 56.60 24.01 165.54 9 2008 165.54

10 2009 91.00 25.94 77.94 33.06 227.94 10 2009 227.94

11 2010 116.26 33.14 99.57 42.22 291.19 11 2010 291.19

12 2011 108.64 30.97 93.05 39.46 272.12 12 2011 272.12236.95

Stasiun Hujan

Luas (km2)

METODE THIESSEN

PA.KA PB.KB PC.KC PD.KD Rmax Tinggi Hujan (mm)

TAHUN 2000Daerah Isohyet Rerata Dua Isohyet

296.02.9829 I 270.0 283.0

16.7836 II 260.0 265.014.1613 III 250.0 255.014.4614 IV 240.0 245.0

9.9266 V 230.0 235.0Jumlah

Curah Hujan Rata-Rata


239.01.213 I 220.0 229.5

20.1922 II 210.0 215.015.2009 III 200.0 205.015.4147 IV 190.0 195.0

6.2935 V 180.0 185.0Jumlah



327.08.5263 I 300.0 313.5

19.9476 II 290.0 295.016.8595 III 280.0 285.012.9805 IV 270.0 275.0

Jumlah



284.010.8639 I 260.0 272.019.2654 II 250.0 255.014.8347 III 240.0 245.0

8.4864 IV 230.0 235.04.8653 V 220.0 225.0

Jumlah



250.04.5417 I 240.0 245.0

22.5193 II 230.0 235.018.1332 III 220.0 225.013.1191 IV 210.0 215.0

5.7081 v 200.0 205.0Jumlah



13.0758 304.014.7809 280.0 292.013.6567 I 270.0 275.011.8898 II 260.0 265.0

4.9099 III 250.0 255.0IV 240.0 245.0

Jumlah



218.034.2026 I 200.0 209.013.7031 II 190.0 195.0

8.5785 III 180.0 185.01.8303 IV 170.0 175.0

Jumlah



226.133.2103 I 220.0 223.125.1034 II 210.0 215.0

Jumlah



8.5774 191.017.6376 I 177.0 184.012.9527 II 172.0 174.5

9.9454 III 167.0 169.55.5396 IV 162.0 164.53.6633 V 157.0 159.5

VI 148.0 152.5Jumlah



2.5146 263.018.3469 I 250.0 256.518.8121 II 240.0 245.011.9745 III 230.0 235.0

6.4484 IV 220.0 225.00.2175 V 210.0 215.0

VI 200.0 205.0Jumlah



9.8035 330.014.4751 I 310.0 320.010.9314 II 300.0 305.0

7.8859 III 290.0 295.012.6409 IV 280.0 285.0

2.5803 V 270.0 275.0VI 260.0 265.0

Jumlah



1.6556 314.015.8439 I 300.0 307.0

14.7168 II 290.0 295.013.9425 III 280.0 285.0

6.3213 IV 270.0 275.05.4784 V 260.0 265.00.3569 VI 250.0 255.0

VII 240.0 245.0Jumlah


TABEL TINGGI HUJAN MAKSIMUM DAERAH TAHUNAN

DENGAN METODE ISOHYET

No. Tahun

1 20002 20013 20024 20035 20046 20057 20068 20079 2008

10 200911 201012 2011

Luasan Antara Dua Isohyet (km) Volume Hujan

0.60 168.833.36 889.532.83 722.232.89 708.611.99 466.55

11.663 2955.75

253.43

Luasan Antara Dua Isohyet (km) Volume Hujan

0.24 55.684.04 868.263.04 623.243.08 601.171.26 232.86

11.663 2381.21

204.17

TAHUN 2002Luasan Antara Dua Isohyet (km) Volume Hujan

1.71 534.603.99 1176.913.37 960.992.60 713.93

11.663 3386.43

290.36


2.17 591.003.85 982.542.97 726.901.70 398.860.97 218.94

11.663 2918.23

250.21


0.91 222.544.50 1058.413.63 815.992.62 564.121.14 234.03

11.663 2661.07

228.17


2.62 763.632.96 812.952.73 723.812.38 606.380.98 240.59

11.663 3147.35

269.87


6.84 1429.672.74 534.421.72 317.400.37 64.06

11.663 2345.55

201.11


6.64 1481.515.02 1079.45

11.663 2560.96

219.58


1.72 315.653.53 615.552.59 439.101.99 327.201.11 176.710.73 111.73

11.663 1985.94

170.27


0.50 129.003.67 899.003.76 884.172.39 538.851.29 277.280.04 8.92

11.663 2737.22

234.70


1.96 627.422.90 882.982.19 644.951.58 449.502.53 695.250.52 136.76

11.663 3436.86

294.67


0.33 101.65

3.17 934.792.94 838.862.79 766.841.26 335.031.10 279.40

0.07 17.4911.663 3274.05

280.72

TABEL TINGGI HUJAN MAKSIMUM DAERAH TAHUNAN

DENGAN METODE ISOHYET

Tinggi Hujan (mm)

253.43204.17290.36250.21228.17201.11269.87219.58170.27234.70294.67280.72

241.44

Hujan rancangan dengan kala ulang 2, 5, 10, 25, 50, 100, 200, 1000

Aritmatic Metode Gumbel

No. Tahun

1 2000 251.10 18.131 328.7422 2001 203.18 -29.794 887.6683 2002 288.88 55.906 3125.5094 2003 241.40 8.431 71.0865 2004 212.50 -20.469 418.9706 2005 188.93 -44.044 1939.8527 2006 258.40 25.431 646.7488 2007 212.80 -20.169 406.7789 2008 162.38 -70.594 4983.478

10 2009 223.58 -9.394 88.24311 2010 285.60 52.631 2770.04812 2011 266.90 33.931 1151.330

Jumlah 2795.63 16818.451Rerata 232.969

Standart Deviasi 39.1018

n = 12Dari tabel hubungan Yn dan Sn Gumbel di dapatkan :

Yn = 0.5035Sn = 0.9833


Tr K Sd . K

2 0.3665 -0.1393 -5.4474 227.525 1.4999 1.0134 39.6243 272.59

10 2.2504 1.7765 69.4657 302.4325 3.1985 2.7408 107.1704 340.1450 3.9019 3.4562 135.1419 368.11

100 4.6001 4.1662 162.9069 395.88200 5.2958 4.8737 190.5705 423.54

1000 6.9073 6.5125 254.6510 487.62352.23

Thiessen Metode Gumbel

Tinggi Hujan (R)

X - Xrerata (X - Xrerata)2

YT R rancangan

No. Tahun

1 2000 256.19 23.2170 539.03112 2001 207.14 -25.8313 667.25573 2002 290.71 57.7366 3333.51004 2003 246.12 13.1526 172.99185 2004 216.66 -16.3126 266.10106 2005 194.30 -38.6734 1495.63167 2006 263.45 30.4851 929.34308 2007 212.11 -20.8539 434.88539 2008 165.54 -67.4293 4546.7070

10 2009 227.94 -5.0323 25.324111 2010 291.19 58.2171 3389.232312 2011 272.12 39.1514 1532.8300

Jumlah 2843.45 17332.8429Rerata 236.9543



Yn = 0.5035Sn = 0.9833


Tr K Sd . K

2 0.3665 -0.1393 -5.5301 231.425 1.4999 1.0134 40.2257 277.18

10 2.2504 1.7765 70.5200 307.4725 3.1985 2.7408 108.7970 345.7550 3.9019 3.4562 137.1930 374.15

100 4.6001 4.1662 165.3794 402.33200 5.2958 4.8737 193.4629 430.42

1000 6.9073 6.5125 258.5159 495.47358.02

Isohyet Metode Gumbel

No. Tahun

1 2000 253.43 20.4573 418.49932 2001 204.17 -28.7983 829.3439

Tinggi Hujan (R)


YT R rancangan

Tinggi Hujan (R)


3 2002 290.36 57.3931 3293.96834 2003 250.21 17.2410 297.25155 2004 228.17 -4.7990 23.03086 2005 201.11 -31.8563 1014.82287 2006 269.87 36.8974 1361.41738 2007 219.58 -13.3842 179.13649 2008 170.27 -62.6943 3930.5787

10 2009 234.70 1.7276 2.984711 2010 294.67 61.7012 3807.038212 2011 280.72 47.7508 2280.1378

Jumlah 2897.26 17438.2098Rerata 241.4384



Yn = 0.5035Sn = 0.9833


Tr K Sd . K

2 0.3665 -0.1393 -5.5469 227.425 1.4999 1.0134 40.3478 273.32

10 2.2504 1.7765 70.7340 303.7025 3.1985 2.7408 109.1272 342.1050 3.9019 3.4562 137.6094 370.58

100 4.6001 4.1662 165.8813 398.85200 5.2958 4.8737 194.0500 427.02

1000 6.9073 6.5125 259.3005 492.27354.41

YT R rancangan

Perbandingan Curah Hujan Rancangan Metode Gumbel

Kala UlangCurah Hujan Rancangan

Aritmatic Mean Theissen Isohyet2 227.52 231.42 227.425 272.59 277.18 273.32

10 302.43 307.47 303.7025 340.14 345.75 342.1050 368.11 374.15 370.58

100 395.88 402.33 398.85200 423.54 430.42 427.02

1000 487.62 495.47 492.27rerata 352.23 358.02 354.41


Metode Log Pearson III

No. Tahun log X

1 2000 25 1.3979 0.0915 -0.02772 2001 24 1.3802 0.1026 -0.03283 2002 67 1.8261 0.0158 0.00204 2003 99 1.9956 0.0871 0.02575 2004 98 1.9912 0.0845 0.02466 2005 48 1.6812 0.0004 -0.000017 2006 39 1.5911 0.0120 -0.00138 2007 55 1.7404 0.0016 0.0001

Jumlah 13.6038 0.3955 -0.0095Rerata 1.7005

Standart Deviasi 0.1896Cs -0.1522

n = 12

1.70046948215886SD = 0.1896070


Tr Pr (%) K K . SD

2 50 0.0239 0.0045 50.705 20 0.8474 0.1607 72.63

10 10 1.2716 0.2411 87.4125 4 1.7026 0.3228 105.5150 2 1.9752 0.3745 118.85

100 1 2.2124 0.4195 131.81200 0.5 2.4314 0.4610 145.04

1000 0.1 2.8521 0.5408 174.28

Tinggi Hujan (R)

(Log X - Log Xrerata)2 (Log X - Log Xrerata)3

R rerata =

X rancangan

TabelHarga D kritis untuk Smirnov-Kolmogorof test

Ukuran S 20% 15% 10% 5% 1%

1 0.900 0.925 0.950 0.975 0.9952 0.648 0.726 0.776 0.842 0.9293 0.565 0.597 0.642 0.708 0.8294 0.494 0.525 0.564 0.624 0.7345 0.446 0.474 0.510 0.563 0.6696 0.410 0.436 0.470 0.521 0.6187 0.381 0.405 0.438 0.486 0.5778 0.358 0.381 0.411 0.457 0.5439 0.339 0.360 0.388 0.432 0.514

10 0.332 0.342 0.368 0.409 0.48611 0.307 0.326 0.352 0.391 0.46812 0.295 0.313 0.338 0.375 0.45013 0.284 0.302 0.325 0.361 0.43314 0.274 0.292 0.314 0.349 0.41815 0.266 0.283 0.304 0.338 0.40416 0.258 0.274 0.295 0.328 0.39117 0.258 0.266 0.286 0.318 0.3818 0.250 0.259 0.278 0.309 0.3719 0.244 0.252 0.272 0.301 0.36120 0.231 0.246 0.264 0.294 0.352

Rumus 1.07 1.14 1.22 1.36 1.63AsimtotikSumber : Lily Montarcih L, Hidrologi Dasar

Tabel Harga Chi - Square ( X2)

Probability of deviation greather then x2

x2

Derajat Bebas (g) 20% 10% 5% 1% 0.1%

1 1.642 2.706 3.841 6.635 10.8272 3.219 4.605 5.991 9.210 13.8153 4.642 6.251 7.815 11.345 16.2684 5.989 7.779 9.488 13.277 18.4655 7.289 9.236 11.070 15.086 20.5176 8.558 10.645 12.592 16.812 22.4577 9.803 12.017 14.067 18.475 24.3228 11.030 13.362 15.507 20.090 26.1259 12.242 14.987 16.919 21.666 27.877

10 13.442 15.987 18.307 23.209 29.58811 14.631 17.275 19.675 24.725 31.26412 15.812 18.549 21.026 26.217 32.90913 16.985 19.812 22.362 27.688 34.52814 18.151 21.064 23.685 29.141 36.12315 19.311 22.307 24.996 30.578 37.69716 20.465 23.542 26.296 32.000 39.25217 21.615 24.769 27.587 33.409 40.79018 22.760 25.989 28.869 34.805 42.31219 23.900 27.204 30.144 36.191 43.82020 25.038 28.412 31.410 37.566 45.315

Sumber : CD Soemarto, Hidrologi Teknik

Lampiran 1Faktor Frekuensi untuk Distribusi Log Pearson Type III

Koefisien Asimetri, Cs Negatip

T (th) 1.0101 1.0526 1.1111 1.25 2 5 10Cs:P(%) 99 95 90 80 50 20 10

0 -2.326 -1.645 -1.202 -0.842 0.000 0.842 1.282-0.1 -2.400 -1.673 -1.292 -0.336 0.017 0.846 1.270-0.2 -2.472 -1.700 -1.301 -0.830 0.033 0.850 1.258-0.3 -2.544 -1.726 -1.309 -0.824 0.050 0.853 1.245-0.4 -2.615 -1.750 -1.317 -0.816 0.066 0.855 1.231-0.5 -2.606 -1.774 -1.323 -0.808 0.083 0.856 1.216-0.6 -2.755 -1.797 -1.320 -0.880 0.099 0.857 1.200-0.7 -2.824 -1.019 -1.333 -0.790 0.116 0.857 1.183-0.8 -2.021 -1.039 -1.336 -0.780 0.132 0.856 1.166-0.9 -2.057 -1.050 -1.339 -0.769 0.140 0.854 1.147

-1.0 -3.022 -1.077 -1.340 -0.758 0.164 0.852 1.170

Faktor Frekuensi untuk Distribusi Log Pearson Type III Koefisien Asimetri, Cs Positip

T (th) 1.0101 1.0526 1.1111 1.25 2 5 10Cs:P(%) 99 95 90 80 50 20 10

0.0 -2.326 -1.645 -1.282 -0.842 0.000 0.842 1.2820.1 -2.252 -1.616 -1.270 -0.085 0.017 0.836 1.2970.2 -2.170 -1.538 -1.258 -0.850 0.033 0.830 1.3010.3 -2.130 -1.555 -1.245 -0.853 0.050 0.824 1.3090.4 -2.029 -1.524 -1.231 -0.855 0.066 0.816 1.3170.5 -1.955 -1.491 -1.216 -0.856 0.083 0.808 1.3230.6 -1.880 -1.458 -1.200 -0.857 0.079 0.800 1.3280.7 -1.806 -1.423 -1.183 -0.857 0.116 0.790 1.3330.8 -1.733 -1.388 -1.166 -0.856 0.132 0.780 1.3360.9 -1.660 -1.353 -1.147 -0.854 0.148 0.769 1.3391.0 -1.588 -1.317 -1.128 -0.852 0.164 0.758 1.340

1.1 -1.518 -1.280 -1.107 -0.018 0.180 0.745 1.341Sumber : CD Soemarto, Hidrologi Teknik

Faktor Frekuensi untuk Distribusi Log Pearson Type III Koefisien Asimetri, Cs Negatip

20 25 50 100 200 10005 4 2 1 0.5 0.1

1.595 1.751 2.054 2.326 2.576 3.0901.567 1.716 2.000 2.252 2.482 2.9501.539 1.680 1.945 2.178 2.308 2.8101.510 1.643 1.890 2.104 2.291 2.6701.481 1.606 1.834 2.029 2.201 2.5301.450 1.567 1.777 1.955 2.108 2.4001.419 1.528 1.720 1.880 2.016 2.2701.386 1.488 1.663 1.806 1.926 2.1401.354 1.448 1.606 1.733 1.837 2.0201.320 1.407 1.549 1.660 1.749 1.900

1.301 1.366 1.492 1.508 1.664 1.790

Faktor Frekuensi untuk Distribusi Log Pearson Type III Koefisien Asimetri, Cs Positip

20 25 50 100 200 10005 4 2 1 0.5 0.1

1.595 1.751 2.045 2.376 2.576 3.0901.622 1.785 2.107 2.400 2.670 3.2301.646 1.818 2.159 2.472 2.763 3.3801.669 1.849 2.211 2.544 2.856 3.5201.692 1.880 2.261 2.615 2.947 3.6701.714 1.910 2.311 2.606 3.041 3.8101.735 1.939 2.359 2.755 3.132 3.9601.756 1.967 2.407 2.824 3.223 4.1001.774 1.993 2.453 2.891 3.312 4.2401.792 2.018 2.498 2.957 3.401 4.3901.809 2.043 2.542 3.022 3.489 4.530

1.824 2.066 2.585 3.087 3.575 4.670

Gumbel (aritmatika)

PERHITUNGAN METODE RATA-RATA HITUNG

No.

1 25.00

2 24.00

3 67.00

4 99.00

5 98.00

6 48.00

7 39.00

8 55.00

data 8kelas 4DERAJAT BEBAS ( n ) : K - h - 1 ; h = 2DERAJAT BEBAS ( n ) : 1 SIGNIFIKAN (a, %) 5 1.00

D KRITIS 3.841 6.635EXPECTED FREQUENCY 2.0

PERHITUNGAN CHI SQUARE TEST

NO BATAS KELAS

JUMLAH DATAEXPECTED OBSERVED

FREQUENCY ( Ef )FREQUENCY ( Of )1 0,00 - 44,42 2.0 3 2 44,42 - 61,91 2.0 2 3 61,91 - 86,71 2.0 1 4 86,71 - 2.0 2

JUMLAH 8 8

SIGNIFIKAN ( % ) 5% 1%D KRITIS 3.841 6.635

1.00 1.00 KESIMPULAN

5% HIPOTESA GUMBEL DITERIMA1% HIPOTESA GUMBEL DITERIMA

Tinggi Hujan (mm)

(X2 tabel)

X2 hitung

Gumbel (thiessen)

No.256.19

1 291.192 290.713 272.124 263.455 246.126 212.117 227.948 216.669 207.14

10 194.3011 165.54

12


D KRITIS 5.990 9.210 EXPECTED FREQUENCY 2.4


NO BATAS KELASJUMLAH DATA

EXPECTED OBSERVEDFREQUENCY ( Ef )FREQUENCY ( Of )

1 0,00 -185,9767 2.4 1 2 185,9767 - 203,3547 2.4 2 3 203,3547 - 221,3804 2.4 1 4 221,3804 - 246,9307 2.4 3 5 246,9307 ~ 2.4 5

JUMLAH 12 12




PERHITU

NGAN METODE theissen

Tinggi Hujan (mm)

(X2 tabel)

X2 hitung

Gumbel (isohyet)

No.253.43

1 294.672 290.363 280.724 269.875 250.216 219.587 234.708 228.179 204.17

10 201.1111 170.27

12





EXPECTED OBSERVEDFREQUENCY ( Ef )FREQUENCY ( Of )

1 0,00 - 195,4337 2.4 2 2 195,4337 - 217,7265 2.4 2 3 217,7265 - 240,8504 2.4 2 4 240,8504 - 273,6269 2.4 3 5 273,6269 ~ 2.4 3

JUMLAH 12 12



PERHITU

NGAN METODE isohyet

Tinggi Hujan (mm)

(X2 tabel)

X2 hitung


Ef - OfProbabilitas Tr Yt K

1.0 0.50 60 1.66666667 0.087 -0.4230.0 0.00 40 2.5 0.672 0.1711.0 0.50 20 5 1.500 1.0130.0 0.00

1.0

( Ef - Of )2


1.4 1.96 80 1.25 -0.476 -0.9960.4 0.16 60 1.66666667 0.087 -0.4231.4 1.96 40 2.5 0.672 0.1710.6 0.36 20 5 1.500 1.0132.6 6.76

11.2

( Ef - Of )2


0.4 0.16 80 1.25 -0.476 -0.9960.4 0.16 60 1.66666667 0.087 -0.4230.4 0.16 40 2.5 0.672 0.1710.6 0.36 20 5 1.500 1.0130.6 0.36

1.2

( Ef - Of )2

YData Gumbeln = 12

Dari tabel hubungan Yn dan Sn Gumbel di dapatkan :44.4261.91 Yn = 0.503586.71 Sn = 0.9833

Rerata = 56.8750Standar Deviasi = 29.4397

X = K * Sd + Rerata

K = (X-Rerata)/Sd(Yt-Yn)/Sn = (X-Rerata)/SdYt = (X-Rerata)Sn/Sd +Yn

YData Gumbeln = 12

186.52 Dari tabel hubungan Yn dan Sn Gumbel di dapatkan :203.85221.83 Yn = 0.5035247.32 Sn = 0.9833


X = K * Sd + Rerata

K = (X-Rerata)/Sd(Yt-Yn)/Sn = (X-Rerata)/SdYt = (X-Rerata)Sn/Sd +Yn

YData Gumbeln = 12

202.77 Dari tabel hubungan Yn dan Sn Gumbel di dapatkan :225.01248.08 Yn = 0.5035280.78 Sn = 0.9833


X = K * Sd + Rerata

K = (X-Rerata)/Sd(Yt-Yn)/Sn = (X-Rerata)/Sd

Yt = (X-Rerata)Sn/Sd +Yn

Log Pearson (aritmatika)

PERHITUNGAN METODE RATA-RATA HITUNG

No.

1 25 1.397940008672042 24 1.380211241711613 67 1.826074802700834 99 1.995635194597555 98 1.991226075692496 48 1.681241237375597 39 1.59106460702658 55 1.74036268949424


D KRITIS 3.841 6.635EXPECTED FREQUENCY 2.0



EXPECTED OBSERVEDFREQUENCY ( Ef ) FREQUENCY ( Of )

1 0,00 - 51,804 2.0 4 2 51,804 - 64,287 2.0 1 3 64,287 - 79,778 2.0 1 4 79,778 - 2.0 2

JUMLAH 8 8



5% HIPOTESA LOG PEARSON DITERIMA

Tinggi Hujan (mm)

(X2 tabel)

X2 hitung

1% HIPOTESA LOG PEARSON DITERIMA

Log Pearson (thiessen)

No.256.19 2.40855504273772

1 291.19 2.464170287458482 290.71 2.463452960520943 272.12 2.434760658141854 263.45 2.420704593677395 246.12 2.391149350115676 212.11 2.326571065304567 227.94 2.35781377425128 216.66 2.335771018740679 207.14 2.31625863948965

10 194.30 2.2884624147339411 165.54 2.21890157649912

12




NO BATAS KELAS

JUMLAH DATAEXPECTED OBSERVED

FREQUENCY ( Ef ) FREQUENCY ( Of )1 0,00 - 201,043 2.4 3 2 201,043 - 221,039 2.4 1 3 221,039 - 243,023 2.4 2 4 243,023 - 267,195 2.4 2 5 267,195 ~ 2.4 4

JUMLAH 12 12

PERHITU

NGAN METODE theissen

Tinggi Hujan (mm)

(X2 tabel)



5% HIPOTESA LOG PEARSON DITERIMA1% HIPOTESA LOG PEARSON DITERIMA

Log Pearson (isohyet)

No.253.43 2.40385117677428

1 294.67 2.469335850894882 290.36 2.462939559026173 280.72 2.448272641883814 269.87 2.431148394221865 250.21 2.39830420164756 219.58 2.341601808378217 234.70 2.370506397253698 228.17 2.358257982254889 204.17 2.3099928176846

10 201.11 2.3034389913225611 170.27 2.23114941502643

12





EXPECTED OBSERVEDFREQUENCY ( Ef ) FREQUENCY ( Of )

1 0,00 - 199,109 2.4 2 2 199,109 - 219,105 2.4 2 3 219,105 - 241,108 2.4 2

X2 hitung

PERHITU

NGAN METODE isohyet

Tinggi Hujan (mm)

(X2 tabel)

4 241,108 - 265,322 2.4 2 5 265,322 ~ 2.4 4

JUMLAH 12 12



5% HIPOTESA LOG PEARSON DITERIMA1% HIPOTESA LOG PEARSON DITERIMA

X2 hitung

Probabilitas K Log Y Y

Ef - Of 8060 0.058 1.714 51.804

2.0 2.00 40 0.453 1.808 64.2871.0 0.50 20 0.847 1.902 79.7781.0 0.50 0.0 0.00

3.0

5.991 9.210 3.841 6.635

5.991 9.210

( Ef - Of )2

Ef - OfProbabilitas K Log Y Y

80 -0.808 2.305 201.6960.6 0.36 60 -0.253 2.346 221.9671.4 1.96 40 0.301 2.388 244.2740.4 0.16 20 0.856 2.429 268.8240.4 0.16 1.6 2.56

5.2

( Ef - Of )2

Probabilitas K Log Y Y

Ef - Of 80 -0.803 2.317 207.34660 -0.250 2.357 227.430

0.4 0.16 40 0.303 2.397 249.4580.4 0.16 20 0.857 2.437 273.6210.4 0.16

( Ef - Of )2

0.4 0.16 1.6 2.56

3.2

Data Log Pearson 99 95 90 80-0.1 -2.400 -1.673 -1.292 -0.336

Rerata = 1.7005 -0.2 -2.472 -1.700 -1.301 -0.830Standar De 0.2377 -0.1349 -2.4251 -1.6824 -1.2951 -0.5085Kepenceng -0.1349

log X = k * Sd Log + Rerata Log80 -0.3360

K = (log X-log Rerata)/Sd 20 0.84760 0.05846640 0.452931

Data Log Pearson 99 95 90 80-0.4 -2.615 -1.750 -1.317 -0.816



K = (log X-log Rerata)/Sd 20 0.856

60 -0.25318240 0.301422

Data Log Pearson 99 95 90 80-0.4 -2.615 -1.750 -1.317 -0.816



K = (log X-log Rerata)/Sd 20 0.85760 -0.25010740 0.303231

50 20 10 5 4 2 1 0.5 0.10.017 0.846 1.270 1.567 1.716 2.000 2.252 2.482 2.9500.033 0.850 1.258 1.539 1.680 1.945 2.178 2.308 2.8100.0226 0.8474 1.2658 1.5572 1.7034 1.9808 2.2262 2.4212 2.9011

50 20 10 5 4 2 1 0.5 0.10.066 0.855 1.231 1.481 1.606 1.834 2.029 2.201 2.5300.083 0.856 1.216 1.450 1.567 1.777 1.955 2.108 2.4000.0835 0.8560 1.2156 1.4492 1.5660 1.7755 1.9530 2.1055 2.3965

50 20 10 5 4 2 1 0.5 0.10.066 0.855 1.231 1.481 1.606 1.834 2.029 2.201 2.5300.083 0.856 1.216 1.450 1.567 1.777 1.955 2.108 2.4000.0927 0.8566 1.2075 1.4324 1.5448 1.7446 1.9129 2.0551 2.3260

gumbelaritmatic

No. Tinggi HujanPe (x) Pt (x) Pe (x) - Pt (x)

(%) (%) (%)1 24.00 11.11 -10.11 21.222 25.00 22.22 -21.22 43.443 39.00 33.33 -32.33 65.674 48.00 44.44 -43.44 87.895 55.00 55.56 -54.56 110.116 67.00 66.67 -65.67 132.337 98.00 77.78 -76.78 154.568 99.00 88.89 -87.89 176.78

176.78

UJI SMIRNOV KOLMOGOROF TESTDATA 8SIGNIFIKAN ( % ) 5% 1%D KRITIS 45.7 54.3D MAKSIMUM 176.7778 176.7778

Rekapitulasi Uji Smirnov Kolmogorof

No Keterangan

1 45.7000 176.7778 D maks > D cr Hipotesa Gumbel Ditolak


theissen

No. Tinggi HujanPe (x) Pt (x)

Pe (x) - Pt (x)(%) (%)

1 291.19 11.11 0.02 11.092 290.71 22.22 0.02 22.203 272.12 33.33 0.05 33.294 256.19 44.44 0.08 44.375 263.45 55.56 0.06 55.496 246.12 66.67 0.11 66.567 212.11 77.78 0.34 77.448 227.94 88.89 0.20 88.699 216.66 100.00 0.29 99.71

10 207.14 111.11 0.40 110.7111 194.30 122.22 0.61 121.6112 165.54 133.33 1.59 131.74

D critis D maks

Δmaks

131.7426



No Keterangan



Isohyet

No. Tinggi HujanPe (x) Pt (x)

Pe (x) - Pt (x)(%) (%)

1 294.67 11.11 0.02 11.092 290.36 22.22 0.02 22.203 280.72 33.33 0.03 33.304 253.43 44.44 0.09 44.365 269.87 55.56 0.05 55.516 250.21 66.67 0.09 66.577 219.58 77.78 0.26 77.518 234.70 88.89 0.16 88.739 228.17 100.00 0.20 99.80

10 204.17 111.11 0.44 110.6711 201.11 122.22 0.49 121.7312 170.27 133.33 1.36 131.97

131.9737



No Keterangan

D critis D maks

D critis D maks

Δmaks

Δmaks



Data Gumbeln = 8 Yt eDari tabel hubungan Yn dan Sn Gumbel di dapatkan : 10.1765 3.81E-05

-0.56114 1.752669Yn = 0.5035 0.1179 -0.093533 1.098047Sn = 0.9833 0.207071 0.812962

0.440874 0.643474Rerata = 56.8750 0.84168 0.430986Standar Deviasi = 29.4397 1.877094 0.153034

1.910495 0.148007X = K * Sd + Rerata -1.396152 4.039624

-1.396152 4.039624K = (X-Rerata)/Sd -1.396152 4.039624(Yt-Yn)/Sn = (X-Rerata)/Sd -1.396152 4.039624Yt = (X-Rerata)Sn/Sd +Yn

Data Gumbeln = 12 Yt eDari tabel hubungan Yn dan Sn Gumbel di dapatkan : 8.329592 0.000241

8.313541 0.000245Yn = 0.5035 7.692788 0.000456Sn = 0.9833 7.160574 0.000777


6.217032 0.001995X = K * Sd + Rerata 5.840265 0.002908

5.522336 0.003997K = (X-Rerata)/Sd 5.093404 0.006137(Yt-Yn)/Sn = (X-Rerata)/Sd 4.132944 0.016036

Yt = (X-Rerata)Sn/Sd +Yn

Data Gumbeln = 12 Yt eDari tabel hubungan Yn dan Sn Gumbel di dapatkan : 8.445962 0.000215

8.30207 0.000248Yn = 0.5035 7.980012 0.000342Sn = 0.9833 7.068395 0.000852


6.442817 0.001592X = K * Sd + Rerata 6.224823 0.00198

5.423236 0.004413K = (X-Rerata)/Sd 5.321099 0.004887(Yt-Yn)/Sn = (X-Rerata)/Sd 4.291094 0.01369Yt = (X-Rerata)Sn/Sd +Yn

e Tr Pt0.999962 #NAME? -10.110.173311 1.209644 -21.220.333522 1.500424 -32.330.443542 1.797082 -43.440.525464 2.107321 -54.560.649868 2.856066 -65.67

0.8581 7.047237 -76.780.862425 7.26876 -87.890.017604 1.01792 #DIV/0!0.017604 1.01792 #DIV/0!0.017604 1.01792 #DIV/0!0.017604 1.01792 #DIV/0!

e Tr Pt0.999759 4145.227 0.0241240.999755 4079.232 0.0245140.999544 2192.978 0.04560.999224 1288.149 0.0776310.999391 1641.943 0.0609030.998914 920.5405 0.1086320.996621 295.975 0.3378660.998007 501.7137 0.1993170.997096 344.3707 0.2903850.996011 250.7192 0.3988530.993882 163.4441 0.611830.984092 62.86259 1.590771

e Tr Pt0.999785 4656.735 0.0214740.999752 4032.71 0.0247970.999658 2922.466 0.0342180.999149 1174.762 0.0851240.999508 2033.979 0.0491650.999052 1055.157 0.0947730.997366 379.7046 0.2633630.998409 628.6741 0.1590650.998022 505.6339 0.1977720.995597 227.1116 0.4403120.995125 205.109 0.4875460.986403 73.54745 1.359666

Aritmatika

Dari LP

No. Tinggi Hujan Log xPe (x) Pt (x)

(%) (%)1 285.60 2.4558 7.69 17.502 288.88 2.4607 15.38 15.903 266.90 2.4263 23.08 27.044 251.10 2.3998 30.77 35.635 258.40 2.4123 38.46 31.606 241.40 2.3827 46.15 41.187 212.80 2.3280 53.85 58.948 223.58 2.3494 61.54 51.989 212.50 2.3274 69.23 59.14

10 188.93 2.2763 76.92 75.7011 203.18 2.3079 84.62 65.4612 162.38 2.2105 92.31 97.02

Jumlah 28.3371Rerata 2.3614

Simpangan Baku 0.0756Koefesien Kepencengan -0.5049

UJI SMIRNOV KOLMOGOROF TEST

DATA 12SIGNIFIKAN ( % ) 5% 1%D KRITIS 37.5 45D MAKSIMUM 19.1591 19.1591


No Keterangan

1 37.5000 19.1591 D maks < D cr' Hipotesa Log Pearson Diterima2 45.0000 19.1591 D maks < D cr' Hipotesa Log Pearson Diterima

Thiessen

Dari LP


(%) (%)1 291.19 2.4642 7.69 14.772 290.71 2.4635 15.38 15.01

D critis D maks

Δmaks

3 272.12 2.4348 23.08 24.314 256.19 2.4086 30.77 32.815 263.45 2.4207 38.46 28.876 246.12 2.3911 46.15 38.457 212.11 2.3266 53.85 59.398 227.94 2.3578 61.54 49.269 216.66 2.3358 69.23 56.41

10 207.14 2.3163 76.92 62.7411 194.30 2.2885 84.62 71.7512 165.54 2.2189 92.31 94.31

Jumlah 28.4266Rerata 2.3689

Simpangan Baku 0.0750

Koefesien Kepencengan -0.5027

UJI SMIRNOV KOLMOGOROF TESTDATA 12SIGNIFIKAN ( % ) 5% 1%D KRITIS 37.5 45D MAKSIMUM 14.1868 14.1868


No Keterangan


Isohyet

Dari LP


(%) (%)1 294.67 2.4693 7.69 13.102 290.36 2.4629 15.38 15.173 280.72 2.4483 23.08 19.934 253.43 2.4039 30.77 34.335 269.87 2.4311 38.46 25.486 250.21 2.3983 46.15 36.137 219.58 2.3416 53.85 54.528 234.70 2.3705 61.54 45.159 228.17 2.3583 69.23 49.12

10 204.17 2.3100 76.92 64.7711 201.11 2.3034 84.62 66.89

D critis D maks

Δmaks

12 170.27 2.2311 92.31 90.33Jumlah 28.5288Rerata 2.3774

Simpangan Baku 0.0726Koefesien Kepencengan -0.5569

UJI SMIRNOV KOLMOGOROF TESTDATA 12SIGNIFIKAN ( % ) 5% 1%D KRITIS 37.5 45D MAKSIMUM 20.1135 20.1135


No Keterangan


D critis D maks

Δmaks

Pe (x) - Pt (x)Data Log Pearson

k P

9.81 Rerata = 2.3614 1.2484 17.501370.51 Standar Deviasi = 0.0756 1.3140 15.895683.96 Kepencengan = -0.5049 0.8592 27.037894.86 0.5085 35.631536.87 log X = k * Sd Log + Rerata Log 0.6732 31.595794.97 0.2820 41.179535.09 K = (log X-log Rerata)/Sd -0.4428 58.938149.56 -0.1589 51.98212

10.09 -0.4509 59.136811.23 -1.1268 75.69689

19.16 -0.7088 65.45631

4.72 -1.9972 97.02391

19.1591


k P

7.08 Rerata = 2.3689 1.3598 14.773620.38 Standar Deviasi = 0.0750 1.3503 15.00622

1.23 Kepencengan = -0.5027 0.9705 24.310142.04 0.6237 32.807729.59 log X = k * Sd Log + Rerata Log 0.7845 28.868047.70 0.3934 38.451785.55 K = (log X-log Rerata)/Sd -0.4613 59.39229

12.28 -0.0478 49.2613612.82 -0.3395 56.4090614.19 -0.5978 62.7362512.87 -0.9657 71.74961

2.00 -1.8863 94.30579

14.1868


k P

5.41 Rerata = 2.3774 1.4281 13.0986

0.21 Standar Deviasi = 0.0726 1.3435 15.1727

3.15 Kepencengan = -0.5569 1.1494 19.928673.56 0.5615 34.33302

12.98 log X = k * Sd Log + Rerata Log 0.9227 25.4814810.02 0.4881 36.131710.67 K = (log X-log Rerata)/Sd -0.2624 54.51834

16.39 0.1202 45.1455820.11 -0.0419 49.1173212.16 -0.6807 64.7680417.72 -0.7674 66.89322

1.97 -1.7242 90.33423

20.1135

99 95 90 80 50 20 10-0.4 -2.615 -1.750 -1.317 -0.816 0.066 0.855 1.231-0.5 -2.606 -1.774 -1.323 -0.808 0.083 0.856 1.216

-0.5049 -2.6056 -1.7752 -1.3233 -0.8076 0.0838 0.8560 1.2153

99 95 90 80 50 20 10-0.5 -2.606 -1.774 -1.323 -0.808 0.083 0.856 1.216-0.6 -2.755 -1.797 -1.320 -0.880 0.099 0.857 1.200

-0.5027 -2.7623 -1.7981 -1.3199 -0.8835 0.0998 0.8570 1.1992

99 95 90 80 50 20 10-0.5 -2.606 -1.774 -1.323 -0.808 0.083 0.856 1.216-0.6 -2.755 -1.797 -1.320 -0.880 0.099 0.857 1.200

-0.5569 -2.7623 -1.7981 -1.3199 -0.8835 0.0998 0.8570 1.1992

5 4 2 1 0.5 0.11.481 1.606 1.834 2.029 2.201 2.5301.450 1.567 1.777 1.955 2.108 2.4001.4485 1.5651 1.7742 1.9514 2.1035 2.3937

5 4 2 1 0.5 0.11.450 1.567 1.777 1.955 2.108 2.4001.419 1.528 1.720 1.880 2.016 2.270

1.4175 1.5261 1.7172 1.8763 2.0115 2.2637

5 4 2 1 0.5 0.11.450 1.567 1.777 1.955 2.108 2.4001.419 1.528 1.720 1.880 2.016 2.2701.4175 1.5261 1.7172 1.8763 2.0115 2.2637

data NO H Q1 Q2

1 0.00 0.59 0.592 0.10 1.08 1.083 0.20 1.86 1.764 0.30 2.65 2.655 0.40 3.82 3.826 0.50 5.39 5.397 0.60 6.76 6.768 0.70 8.62 8.629 0.80 10.49 10.68

10 0.90 12.94 12.9411 1.00 15.48 15.4812 1.10 18.42 18.2313 1.20 21.17 21.1714 1.30 24.30 24.3015 1.40 27.64 27.5416 1.50 30.87 30.87

Perhitungan Lengkung Debit Metode Linear Debit 1

No Yi (Q) Xi (h)1 0.59 0.00 -11.42 -0.75 130.302 1.08 0.10 -10.93 -0.65 119.363 1.86 0.20 -10.15 -0.55 102.924 2.65 0.30 -9.36 -0.45 87.525 3.82 0.40 -8.19 -0.35 66.996 5.39 0.50 -6.62 -0.25 43.767 6.76 0.60 -5.25 -0.15 27.518 8.62 0.70 -3.39 -0.05 11.469 10.49 0.80 -1.52 0.05 2.30

10 12.94 0.90 0.93 0.15 0.8711 15.48 1.00 3.47 0.25 12.0812 18.42 1.10 6.42 0.35 41.1513 21.17 1.20 9.17 0.45 84.0014 24.30 1.30 12.30 0.55 151.1715 27.64 1.40 15.64 0.65 244.4516 30.87 1.50 18.87 0.75 355.89

Jumlah 192.08 12.00 0.00 0.00 1481.72Rata-Rata 12.01 0.75 - - -

Perhitungan Lengkung Debit Metode Linear Debit 2

Yi-Yrerata Xi-Xrerata (Yi-Yrerata)2

0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.600.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00

f(x) = 20.3832352941176 x − 3.28242647058824R² = 0.9533654741111

Perhitungan Lengkung Debit Metode Linear

Lengkung Debit

Linear (Lengkung Debit)

No Yi (Q) Xi (h)1 0.59 0.00 -11.40 -0.75 130.022 1.08 0.10 -10.91 -0.65 119.083 1.76 0.20 -10.23 -0.55 104.704 2.65 0.30 -9.34 -0.45 87.285 3.82 0.40 -8.17 -0.35 66.796 5.39 0.50 -6.60 -0.25 43.597 6.76 0.60 -5.23 -0.15 27.388 8.62 0.70 -3.37 -0.05 11.379 10.68 0.80 -1.31 0.05 1.72

10 12.94 0.90 0.95 0.15 0.9011 15.48 1.00 3.49 0.25 12.1612 18.23 1.10 6.24 0.35 38.9113 21.17 1.20 9.18 0.45 84.2314 24.30 1.30 12.31 0.55 151.4715 27.54 1.40 15.55 0.65 241.7216 30.87 1.50 18.88 0.75 356.36

Jumlah 191.88 12.00 0.00 0.00 1477.70Rata-Rata 11.99 0.75 - - -

Yi-Yrerata Xi-Xrerata (Yi-Yrerata)2

0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.600.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00

f(x) = 20.3635294117647 x − 3.28014705882353R² = 0.95411266163781


Lengkung Debit


R 0.980.56 8.56 R2 0.950.42 7.100.30 5.58 DX 0.480.20 4.21 DY 9.940.12 2.860.06 1.650.02 0.79 DY/DX 20.880.00 0.17 DX/DY 0.050.00 -0.080.02 0.140.06 0.87 a1 20.380.12 2.25 a2 0.050.20 4.120.30 6.760.42 10.160.56 14.153.40 69.30

- -

(Xi-Xrerata)2 (Yi-Y rerata) (Xi-Xrerata)

0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.600.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00

f(x) = 20.3832352941176 x − 3.28242647058824R² = 0.9533654741111


Lengkung Debit


R 0.980.56 8.55 R2 0.950.42 7.090.30 5.63 DX 0.480.20 4.20 DY 9.930.12 2.860.06 1.650.02 0.78 DY/DX 20.850.00 0.17 DX/DY 0.050.00 -0.070.02 0.140.06 0.87 a1 20.360.12 2.18 a2 0.050.20 4.130.30 6.770.42 10.110.56 14.163.40 69.24

- -

(Xi-Xrerata)2 (Yi-Y rerata) (Xi-Xrerata)

0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.600.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00

f(x) = 20.3635294117647 x − 3.28014705882353R² = 0.95411266163781


Lengkung Debit


Y = + R (dy/dx)12.01 + 20.38 (X - 0.75 )12.01 + -15.29 + 20.38 X-3.28 + 20.38 X

a = 20.38b = -3.28

h Q dataQ model

Kesalahan Relatif (%)20,38x - 3.28

0.00 0.59 -3.28 656.340.10 1.08 -1.24 215.190.20 1.86 0.79 57.300.30 2.65 2.83 6.890.40 3.82 4.87 27.510.50 5.39 6.91 28.190.60 6.76 8.95 32.360.70 8.62 10.99 27.450.80 10.49 13.02 24.160.90 12.94 15.06 16.401.00 15.48 17.10 10.471.10 18.42 19.14 3.901.20 21.17 21.18 0.041.30 24.30 23.22 4.461.40 27.64 25.25 8.631.50 30.87 27.29 11.59

Kesalahan Relatif Maksimum 656.34

Y rerata (X - X rerata)

Y = + R (dy/dx)11.99 + 20.36 (X - 0.75 )11.99 + -15.27 + 20.36 X-3.28 + 20.36 X

a = 20.36b = -3.28

h Q dataQ model

Kesalahan Relatif (%)20,36x - 3.28

0.00 0.59 -3.28 655.960.10 1.08 -1.24 215.170.20 1.76 0.79 54.970.30 2.65 2.83 6.750.40 3.82 4.87 27.360.50 5.39 6.90 28.040.60 6.76 8.94 32.220.70 8.62 10.97 27.310.80 10.68 13.01 21.820.90 12.94 15.05 16.281.00 15.48 17.08 10.361.10 18.23 19.12 4.881.20 21.17 21.16 0.071.30 24.30 23.19 4.561.40 27.54 25.23 8.391.50 30.87 27.27 11.68


Y rerata (X - X rerata)

Perhitungan Lengkung Debit Metode Eksponensial Debit 1

No Yi (Q) Xi (h) P = ln Y1 0.59 0.00 -0.53 -2.51 -0.752 1.08 0.10 0.08 -1.91 -0.653 1.86 0.20 0.62 -1.37 -0.554 2.65 0.30 0.97 -1.01 -0.455 3.82 0.40 1.34 -0.65 -0.356 5.39 0.50 1.68 -0.30 -0.257 6.76 0.60 1.91 -0.08 -0.158 8.62 0.70 2.15 0.17 -0.059 10.49 0.80 2.35 0.36 0.05

10 12.94 0.90 2.56 0.57 0.1511 15.48 1.00 2.74 0.75 0.2512 18.42 1.10 2.91 0.93 0.3513 21.17 1.20 3.05 1.07 0.4514 24.30 1.30 3.19 1.20 0.5515 27.64 1.40 3.32 1.33 0.6516 30.87 1.50 3.43 1.44 0.75

Jumlah 192.08 12.00 31.79 0.00 0.00Rata-Rata 12.01 0.75 1.99 - -

Perhitungan Lengkung Debit Metode Eksponensial Debit 2

No Yi (Q) Xi (h) P = ln Y1 0.59 0.00 -0.53 -2.51 -0.752 1.08 0.10 0.08 -1.91 -0.65

P-Prerata Xi-Xrerata

P-Prerata Xi-Xrerata

0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.600.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00f(x) = 1.15711066071717 exp( 2.45461605681608 x )R² = 0.942597616190787

Perhitungan Lengkung Debit Metode Eksponensial

Lengkung Debit

Exponential (Lengkung Debit)

3 1.76 0.20 0.57 -1.42 -0.554 2.65 0.30 0.97 -1.01 -0.455 3.82 0.40 1.34 -0.64 -0.356 5.39 0.50 1.68 -0.30 -0.257 6.76 0.60 1.91 -0.07 -0.158 8.62 0.70 2.15 0.17 -0.059 10.68 0.80 2.37 0.38 0.05

10 12.94 0.90 2.56 0.58 0.1511 15.48 1.00 2.74 0.76 0.2512 18.23 1.10 2.90 0.92 0.3513 21.17 1.20 3.05 1.07 0.4514 24.30 1.30 3.19 1.21 0.5515 27.54 1.40 3.32 1.33 0.6516 30.87 1.50 3.43 1.45 0.75

Jumlah 191.88 12.00 31.74 0.00 0.00Rata-Rata 11.99 0.75 1.98 - -

0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.600.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00f(x) = 1.14698534513765 exp( 2.46205932459265 x )R² = 0.942316657077677


Lengkung Debit


R

6.32 0.56 1.89 R23.65 0.42 1.241.87 0.30 0.75 DX1.02 0.20 0.46 DP0.42 0.12 0.230.09 0.06 0.080.01 0.02 0.01 DP/DX0.03 0.00 -0.01 DX/DP0.13 0.00 0.020.33 0.02 0.090.57 0.06 0.19 a10.86 0.12 0.32 a21.14 0.20 0.481.45 0.30 0.661.78 0.42 0.872.08 0.56 1.08

21.73 3.40 8.35- - -

R

6.31 0.56 1.88 R23.64 0.42 1.24

(P-Prerata)2 (Xi-Xrerata)2 (P-Prerata) (Xi-Xrerata)

(P-Prerata)2 (Xi-Xrerata)2 (P-Prerata) (Xi-Xrerata)

0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.600.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00f(x) = 1.15711066071717 exp( 2.45461605681608 x )R² = 0.942597616190787


Lengkung Debit


2.01 0.30 0.78 DX1.02 0.20 0.45 DP0.41 0.12 0.230.09 0.06 0.070.01 0.02 0.01 DP/DX0.03 0.00 -0.01 DX/DP0.15 0.00 0.020.33 0.02 0.090.57 0.06 0.19 a10.85 0.12 0.32 a21.14 0.20 0.481.46 0.30 0.661.77 0.42 0.872.09 0.56 1.08

21.87 3.40 8.37- - -

0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.600.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00f(x) = 1.14698534513765 exp( 2.46205932459265 x )R² = 0.942316657077677


Lengkung Debit


0.97 Y = + R (dp/dx)0.94 1.99 + 2.45 (X - 0.75

1.99 + -1.84 + 2.450.48 0.15 + 2.45 X1.20

A = 2.45 a = 2.45B = 0.15 b = 1.157111

2.530.40

h Q dataQ model

Kesalahan Relatif (%)

2.45 0.00 0.59 1.16 96.120.38 0.10 1.08 1.48 36.95

0.20 1.86 1.89 1.640.30 2.65 2.42 8.810.40 3.82 3.09 19.140.50 5.39 3.95 26.750.60 6.76 5.05 25.350.70 8.62 6.45 25.170.80 10.49 8.25 21.400.90 12.94 10.54 18.561.00 15.48 13.47 12.981.10 18.42 17.22 6.521.20 21.17 22.01 3.961.30 24.30 28.13 15.771.40 27.64 35.96 30.101.50 30.87 45.96 48.89


0.97 Y = + R (dp/dx)0.94 1.98 + 2.46 (X - 0.75

1.98 + -1.85 + 2.46

P rerata (X - X rerata)

P rerata (X - X rerata)

0.48 0.14 + 2.46 X1.21

A = 2.46 a = 2.46B = 0.14 b = 1.146985

2.540.39

h Q dataQ model


2.46 0.00 0.59 1.15 94.400.38 0.10 1.08 1.47 35.85

0.20 1.76 1.88 6.630.30 2.65 2.40 9.410.40 3.82 3.07 19.610.50 5.39 3.93 27.120.60 6.76 5.02 25.670.70 8.62 6.43 25.440.80 10.68 8.22 23.020.90 12.94 10.52 18.731.00 15.48 13.45 13.091.10 18.23 17.21 5.601.20 21.17 22.01 3.981.30 24.30 28.16 15.871.40 27.54 36.02 30.781.50 30.87 46.07 49.25


)X

)X

Perhitungan Lengkung Debit Metode Berpangkat Debit 1

No Yi (Q) Xi (h) P = log Y q = log X1 1.08 0.10 0.03 -1.00 -0.90 -0.81 0.812 1.86 0.20 0.27 -0.70 -0.67 -0.51 0.443 2.65 0.30 0.42 -0.52 -0.51 -0.33 0.264 3.82 0.40 0.58 -0.40 -0.35 -0.21 0.135 5.39 0.50 0.73 -0.30 -0.20 -0.11 0.046 6.76 0.60 0.83 -0.22 -0.11 -0.03 0.017 8.62 0.70 0.94 -0.15 0.00 0.04 0.008 10.49 0.80 1.02 -0.10 0.09 0.10 0.019 12.94 0.90 1.11 -0.05 0.18 0.15 0.03

10 15.48 1.00 1.19 0.00 0.25 0.19 0.0611 18.42 1.10 1.27 0.04 0.33 0.23 0.1112 21.17 1.20 1.33 0.08 0.39 0.27 0.1513 24.30 1.30 1.39 0.11 0.45 0.31 0.2014 27.64 1.40 1.44 0.15 0.51 0.34 0.2615 30.87 1.50 1.49 0.18 0.55 0.37 0.31

Jumlah 191.49 12.00 14.04 -2.88 0.00 0.00 2.83Rata-Rata 12.77 0.80 0.94 -0.19 - - -

Perhitungan Lengkung Debit Metode Berpangkat Debit 2

No Yi (Q) Xi (h) P = log Y q = log X1 1.08 0.10 0.03 -1.00 -0.90 -0.81 0.81

P-Prerata q-qrerata (P-Prerata)2

P-Prerata q-qrerata (P-Prerata)2

0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.600.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00

f(x) = 15.3884756647725 x^1.30829641491975R² = 0.977598932932933

Perhitungan Lengkung Debit Metode Berpangkat

Lengkung Debit

Power (Lengkung Debit)

2 1.76 0.20 0.25 -0.70 -0.69 -0.51 0.483 2.65 0.30 0.42 -0.52 -0.51 -0.33 0.264 3.82 0.40 0.58 -0.40 -0.35 -0.21 0.135 5.39 0.50 0.73 -0.30 -0.20 -0.11 0.046 6.76 0.60 0.83 -0.22 -0.11 -0.03 0.017 8.62 0.70 0.94 -0.15 0.00 0.04 0.008 10.68 0.80 1.03 -0.10 0.09 0.10 0.019 12.94 0.90 1.11 -0.05 0.18 0.15 0.03

10 15.48 1.00 1.19 0.00 0.25 0.19 0.0611 18.23 1.10 1.26 0.04 0.33 0.23 0.1112 21.17 1.20 1.33 0.08 0.39 0.27 0.1513 24.30 1.30 1.39 0.11 0.45 0.31 0.2014 27.54 1.40 1.44 0.15 0.50 0.34 0.2515 30.87 1.50 1.49 0.18 0.55 0.37 0.31

Jumlah 191.29 12.00 14.01 -2.88 -0.02 0.00 2.86Rata-Rata 12.75 0.80 0.93 -0.19 - - -

0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.600.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00

f(x) = 15.3835974638067 x^1.31530739067069R² = 0.977945008280243


Lengkung Debit


R 0.99 Y =0.65 0.73 R2 0.98 0.940.26 0.34 0.940.11 0.17 DX 0.34 1.190.04 0.07 DP 0.450.01 0.02 A = 1.310.00 0.00 B = 1.190.00 0.00 DP/DX 1.320.01 0.01 DX/DP 0.760.02 0.03

h Q data0.04 0.050.05 0.08 a1 1.31 0.10 1.080.07 0.11 a2 0.75 0.20 1.860.09 0.14 0.30 2.650.11 0.17 0.40 3.820.14 0.20 0.50 5.391.61 2.11 0.60 6.76

- - 0.70 8.620.80 10.490.90 12.941.00 15.481.10 18.421.20 21.171.30 24.301.40 27.641.50 30.87

Kesalahan Relatif Maksimum

R 0.99 Y =0.65 0.73 R2 0.98 0.93

(q-qrerata)2 (P-Prerata) (q-qrerata) P rerata

(q-qrerata)2 (P-Prerata) (q-qrerata) P rerata

0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.600.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00

f(x) = 15.3884756647725 x^1.30829641491975R² = 0.977598932932933


Lengkung Debit


0.26 0.35 0.930.11 0.17 DX 0.34 1.190.04 0.07 DP 0.450.01 0.02 A = 1.320.00 0.00 B = 1.190.00 0.00 DP/DX 1.330.01 0.01 DX/DP 0.750.02 0.03

h Q data0.04 0.050.05 0.08 a1 1.32 0.10 1.080.07 0.11 a2 0.74 0.20 1.760.09 0.14 0.30 2.650.11 0.17 0.40 3.820.14 0.20 0.50 5.391.61 2.12 0.60 6.76

- - 0.70 8.620.80 10.680.90 12.941.00 15.481.10 18.231.20 21.171.30 24.301.40 27.541.50 30.87


0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.600.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00

f(x) = 15.3835974638067 x^1.31530739067069R² = 0.977945008280243


Lengkung Debit


+ R (dp/dx)+ 1.31 q - -0.19 )+ 0.25 + 1.31 q+ 1.31 q

15.3884756647725

Q modelKesalahan Relatif (%)

0.76 29.941.87 0.743.19 20.194.64 21.486.21 15.287.89 16.689.65 11.95

11.49 9.5613.41 3.6115.39 0.5917.43 5.3619.53 7.7321.69 10.7423.90 13.5426.16 15.27


+ R (dp/dx)+ 1.32 q - -0.19 )

q - q rerata)

q - q rerata)

+ 0.25 + 1.32 q+ 1.32 q

15.3835974638067


0.76 29.941.87 6.473.19 20.194.64 21.486.21 15.287.89 16.689.65 11.95

11.49 7.6113.41 3.6115.39 0.5917.43 4.3819.53 7.7321.69 10.7423.90 13.2226.16 15.27


Perhitungan Lengkung Debit Metode Logaritmik Debit 1

No Yi (Q) Xi (h) q = log Xi1 1.08 0.10 -1.00 -11.69 -0.81 136.56 0.652 1.86 0.20 -0.70 -10.91 -0.51 118.94 0.263 2.65 0.30 -0.52 -10.12 -0.33 102.33 0.114 3.82 0.40 -0.40 -8.95 -0.21 80.03 0.045 5.39 0.50 -0.30 -7.38 -0.11 54.41 0.016 6.76 0.60 -0.22 -6.01 -0.03 36.07 0.007 8.62 0.70 -0.15 -4.15 0.04 17.19 0.008 10.49 0.80 -0.10 -2.28 0.10 5.18 0.019 12.94 0.90 -0.05 0.17 0.15 0.03 0.02

10 15.48 1.00 0.00 2.71 0.19 7.37 0.0411 18.42 1.10 0.04 5.65 0.23 31.97 0.0512 21.17 1.20 0.08 8.40 0.27 70.63 0.0713 24.30 1.30 0.11 11.53 0.31 133.03 0.0914 27.64 1.40 0.15 14.87 0.34 221.24 0.1115 30.87 1.50 0.18 18.10 0.37 327.75 0.14

Jumlah 191.49 12.00 -2.88 0.00 0.00 1342.73 1.61Rata-Rata 12.77 0.80 -0.19 - - - -

Perhitungan Lengkung Debit Metode Logaritmik Debit 2

No Yi (Q) Xi (h) q = log Xi1 1.08 0.10 -1.00 -11.69 -0.81 136.56 0.652 1.76 0.20 -0.70 -11.01 -0.51 121.13 0.26

Yi-Yrerata q-qrerata (Yi-Yrerata)2 (q-qrerata)2

Yi-Yrerata q-qrerata (Yi-Yrerata)2 (q-qrerata)2

0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.600.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00

f(x) = 10.7967870911413 ln(x) + 17.5450214663391R² = 0.743210640096118

Perhitungan Lengkung Debit Metode Logaritmik

Lengkung Debit

Logarithmic (Lengkung Debit)

3 2.65 0.30 -0.52 -10.12 -0.33 102.33 0.114 3.82 0.40 -0.40 -8.95 -0.21 80.03 0.045 5.39 0.50 -0.30 -7.38 -0.11 54.41 0.016 6.76 0.60 -0.22 -6.01 -0.03 36.07 0.007 8.62 0.70 -0.15 -4.15 0.04 17.19 0.008 10.68 0.80 -0.10 -2.09 0.10 4.35 0.019 12.94 0.90 -0.05 0.17 0.15 0.03 0.02

10 15.48 1.00 0.00 2.71 0.19 7.37 0.0411 18.23 1.10 0.04 5.46 0.23 29.86 0.0512 21.17 1.20 0.08 8.40 0.27 70.63 0.0713 24.30 1.30 0.11 11.53 0.31 133.03 0.0914 27.54 1.40 0.15 14.77 0.34 218.27 0.1115 30.87 1.50 0.18 18.10 0.37 327.75 0.14

Jumlah 191.29 12.00 -2.88 -0.20 0.00 1339.01 1.61Rata-Rata 12.75 0.80 -0.19 - - - -

0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.600.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00

f(x) = 10.7942480150247 ln(x) + 17.5305642524324R² = 0.744923507336554


Lengkung Debit


R 0.86 Y = +9.44 R2 0.74 12.77 +5.53 12.77 +3.34 DX 0.34 17.55 +1.84 DP 9.790.80 A = 24.860.18 B = 17.55-0.15 DP/DX 28.84-0.22 DX/DP 0.030.03

h Q dataQ model

0.521.32 a1 24.86 0.10 1.08 -7.322.28 a2 0.03 0.20 1.86 0.173.53 0.30 2.65 4.555.03 0.40 3.82 7.656.67 0.50 5.39 10.06

40.14 0.60 6.76 12.03- 0.70 8.62 13.69

0.80 10.49 15.140.90 12.94 16.411.00 15.48 17.551.10 18.42 18.571.20 21.17 19.511.30 24.30 20.381.40 27.64 21.181.50 30.87 21.92


R 0.86 Y = +9.44 R2 0.74 12.75 +5.58 12.75 +

(Yi-Yrerata) (q-qrerata) Y rerata

(Yi-Yrerata) (q-qrerata) Y rerata

0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.600.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00

f(x) = 10.7967870911413 ln(x) + 17.5450214663391R² = 0.743210640096118


Lengkung Debit


3.34 DX 0.34 17.53 +1.84 DP 9.780.80 A = 24.850.18 B = 17.53-0.15 DP/DX 28.80-0.20 DX/DP 0.030.03

h Q dataQ model

0.521.28 a1 24.85 0.10 1.08 -7.322.28 a2 0.03 0.20 1.76 0.173.53 0.30 2.65 4.555.00 0.40 3.82 7.656.67 0.50 5.39 10.06

40.13 0.60 6.76 12.03- 0.70 8.62 13.69

0.80 10.68 15.140.90 12.94 16.411.00 15.48 17.551.10 18.23 18.571.20 21.17 19.511.30 24.30 20.381.40 27.54 21.181.50 30.87 21.92


0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.600.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00

f(x) = 10.7942480150247 ln(x) + 17.5305642524324R² = 0.744923507336554


Lengkung Debit


R (dp/dx)24.86 q - -0.19 )

4.78 + 24.86 q24.86 q


777.3690.9571.55

100.3186.6777.9558.8644.2926.8013.340.847.82

16.1423.3828.98

777.36

R (dp/dx)24.85 q - -0.19 )

4.78 + 24.85 q

(q - q rerata)

(q - q rerata)

24.85 q


777.3690.4471.55

100.3186.6777.9558.8641.7226.8013.341.897.82

16.1423.1028.98

777.36

Perhitungan Lengkung Debit Metode Polinomial Orde 2 Debit 1

No Xi (h) Yi (Q) XiYi

1 0.000 0.59 0.00 0.00 0.00 0.00 0.002 0.100 1.08 0.01 0.00 0.00 0.11 0.01

3 0.200 1.86 0.04 0.01 0.00 0.37 0.07

4 0.300 2.65 0.09 0.03 0.01 0.79 0.245 0.400 3.82 0.16 0.06 0.03 1.53 0.616 0.500 5.39 0.25 0.13 0.06 2.70 1.357 0.600 6.76 0.36 0.22 0.13 4.06 2.438 0.700 8.62 0.49 0.34 0.24 6.03 4.229 0.800 10.49 0.64 0.51 0.41 8.39 6.71

10 0.900 12.94 0.81 0.73 0.66 11.65 10.48

11 1.000 15.48 1.00 1.00 1.00 15.48 15.48

12 1.100 18.42 1.21 1.33 1.46 20.26 22.29

13 1.200 21.17 1.44 1.73 2.07 25.40 30.48

14 1.300 24.30 1.69 2.20 2.86 31.59 41.07

15 1.400 27.64 1.96 2.74 3.84 38.70 54.17

16 1.500 30.87 2.25 3.38 5.06 46.31 69.46

Jumlah 12.00 192.08 12.40 14.40 17.83 213.36 259.09

Rerata 0.75 12.01 - - - - -

Persamaannya adalah :

Q =

=

=

Xi2 Xi3 Xi4 Xi2*Yi

a + b.h + c.h2

Q . h a.h + b.h2 + c.h3

Q . h2 a.h2 + b.h3 + c.h4

dari persamaan tersebut didapatkan :192.080 = 16 a + 12.000 b + 12.400 c

213.363 = 12.000 a + 12.400 b + 14.400 c259.087 = 12.400 a + 14.400 b + 17.831 c

Dengan metode eliminasi didapat :

Persamaan 1 dan 2 :16 a + 12.000 b + 12.400 c = 192.080 *

12.000 a + 12.400 b + 14.400 c = 213.363 *maka :

12 a + 9.000 b + 9.300 c = 144.06012 a + 12.400 b + 14.400 c = 213.363 -

-3.400 b + -5.100 c = -69.303 --------

Persamaan 1 dan 3 :

16.000 a + 12.000 b + 12.400 c = 192.080 *

12.400 a + 14.400 b + 17.831 c = 259.087 *

maka :

12.400 a + 9.300 b + 9.610 c = 148.862

12.400 a + 14.400 b + 17.831 c = 259.087 -

-5.100 b + -8.221 c = -110.225 -------

Persamaan 4 dan 5 :

-3.400 b + -5.100 c = -69.303 *

-5.100 b + -8.221 c = -110.225 *

maka :

-3.400 b + -5.100 c = -69.303

-3.400 b + -5.481 c = -73.483 -

0.381 c = 4.180

c = 10.977

dari persamaan 5 :-5.100 b + -8.221 c = -110.225-5.100 b + -90.2461 = -110.225

-5.100 b = -19.979

b = 3.917

16 a + 12 b + 12.4 c = 192.08016 a + 47.0085 + 136.117787 = 192.080

16 a = 8.95373

a = 0.560

dari perhitungan didapatkan :a = 0.560

b = 3.917c = 10.977

maka persamaannya menjadi :

Q = 0.560 + 3.917 x + 10.9770.7501.000

h Q dataQ model


pers. 4 0.00 0.59 0.56 5.15

0.10 1.08 1.06 1.75

0.20 1.86 1.78 4.18

0.775 0.30 2.65 2.72 2.75

1.000 0.40 3.82 3.88 1.65

0.50 5.39 5.26 2.36

0.60 6.76 6.86 1.51

0.70 8.62 8.68 0.70

pers. 5 0.80 10.49 10.72 2.18

0.90 12.94 12.98 0.28

1.00 15.48 15.45 0.17

1.000 1.10 18.42 18.15 1.46

0.667 1.20 21.17 21.07 0.48

1.30 24.30 24.20 0.40

1.40 27.64 27.56 0.29

1.50 30.87 31.13 0.86


0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.600.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00

f(x) = 10.9772408963585 x² + 3.91737394957982 x + 0.559607843137258R² = 0.999817948871387

Perhitungan Lengkung Debit Metode Polinomial Orde 2

Lengkung Debit

Polynomial (Lengkung Debit)

x2

0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.600.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00

f(x) = 10.9772408963585 x² + 3.91737394957982 x + 0.559607843137258R² = 0.999817948871387


Lengkung Debit




1 0.000 0.59 0.00 0.00 0.00 0.00 0.002 0.100 1.08 0.01 0.00 0.00 0.11 0.01

3 0.200 1.76 0.04 0.01 0.00 0.35 0.07

4 0.300 2.65 0.09 0.03 0.01 0.79 0.245 0.400 3.82 0.16 0.06 0.03 1.53 0.616 0.500 5.39 0.25 0.13 0.06 2.70 1.357 0.600 6.76 0.36 0.22 0.13 4.06 2.438 0.700 8.62 0.49 0.34 0.24 6.03 4.229 0.800 10.68 0.64 0.51 0.41 8.54 6.84

10 0.900 12.94 0.81 0.73 0.66 11.65 10.48

11 1.000 15.48 1.00 1.00 1.00 15.48 15.48

12 1.100 18.23 1.21 1.33 1.46 20.05 22.06

13 1.200 21.17 1.44 1.73 2.07 25.40 30.48

14 1.300 24.30 1.69 2.20 2.86 31.59 41.07

15 1.400 27.54 1.96 2.74 3.84 38.56 53.98

16 1.500 30.87 2.25 3.38 5.06 46.31 69.46

Jumlah 12.00 191.88 12.40 14.40 17.83 213.15 258.78

Rerata 0.75 11.99 - - - - -


Xi2 Xi3 Xi4 Xi2*Yi

Q = a + b.h + c.h2

Q . h = a.h + b.h2 + c.h3

Q . h2 = a.h2 + b.h3 + c.h4

dari persamaan tersebut didapatkan :191.880 = 16 a + 12.000 b + 12.400 c

213.146 = 12.000 a + 12.400 b + 14.400 c258.778 = 12.400 a + 14.400 b + 17.831 c


Persamaan 1 dan 2 :16 a + 12.000 b + 12.400 c = 191.880 *

12.000 a + 12.400 b + 14.400 c = 213.146 *maka :

12 a + 9.000 b + 9.300 c = 143.91012 a + 12.400 b + 14.400 c = 213.146 -

-3.400 b + -5.100 c = -69.236 --------

Persamaan 1 dan 3 :

16.000 a + 12.000 b + 12.400 c = 191.880 *

12.400 a + 14.400 b + 17.831 c = 258.778 *

maka :

12.400 a + 9.300 b + 9.610 c = 148.707

12.400 a + 14.400 b + 17.831 c = 258.778 -

-5.100 b + -8.221 c = -110.071 -------

Persamaan 4 dan 5 :

-3.400 b + -5.100 c = -69.236 *

-5.100 b + -8.221 c = -110.071 *

maka :

-3.400 b + -5.100 c = -69.236

-3.400 b + -5.481 c = -73.381 -

0.381 c = 4.145

c = 10.885

dari persamaan 5 :-5.100 b + -8.221 c = -110.071-5.100 b + -89.4862 = -110.071

-5.100 b = -20.585

b = 4.036

16 a + 12 b + 12.4 c = 191.88016 a + 48.4359 + 134.971569 = 191.880

16 a = 8.47255

a = 0.530


b = 4.036c = 10.885


Q = 0.530 + 4.036 x + 10.8850.7501.000

h Q dataQ model


pers. 4 0.00 0.59 0.53 10.25

0.10 1.08 1.04 3.52

0.20 1.76 1.77 0.69

0.775 0.30 2.65 2.72 2.64

1.000 0.40 3.82 3.89 1.72

0.50 5.39 5.27 2.25

0.60 6.76 6.87 1.63

0.70 8.62 8.69 0.79

pers. 5 0.80 10.68 10.72 0.42

0.90 12.94 12.98 0.30

1.00 15.48 15.45 0.19

1.000 1.10 18.23 18.14 0.49

0.667 1.20 21.17 21.05 0.58

1.30 24.30 24.17 0.53

1.40 27.54 27.51 0.09

1.50 30.87 31.07 0.66


0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.600.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00

f(x) = 10.8848039215686 x² + 4.03632352941175 x + 0.529534313725496R² = 0.999910402637308


Lengkung Debit


x2

0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.600.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00

f(x) = 10.8848039215686 x² + 4.03632352941175 x + 0.529534313725496R² = 0.999910402637308


Lengkung Debit




1 0.000 0.59 0.00 0.00 0.00 0.00 0.00 0.002 0.100 1.08 0.01 0.00 0.00 0.00 0.00 0.11

3 0.200 1.86 0.04 0.01 0.00 0.00 0.00 0.374 0.300 2.65 0.09 0.03 0.01 0.00 0.00 0.79

5 0.400 3.82 0.16 0.06 0.03 0.01 0.00 1.536 0.500 5.39 0.25 0.13 0.06 0.03 0.02 2.707 0.600 6.76 0.36 0.22 0.13 0.08 0.05 4.068 0.700 8.62 0.49 0.34 0.24 0.17 0.12 6.039 0.800 10.49 0.64 0.51 0.41 0.33 0.26 8.39

10 0.900 12.94 0.81 0.73 0.66 0.59 0.53 11.6511 1.000 15.48 1.00 1.00 1.00 1.00 1.00 15.4812 1.100 18.42 1.21 1.33 1.46 1.61 1.77 20.2613 1.200 21.17 1.44 1.73 2.07 2.49 2.99 25.4014 1.300 24.30 1.69 2.20 2.86 3.71 4.83 31.5915 1.400 27.64 1.96 2.74 3.84 5.38 7.53 38.7016 1.500 30.87 2.25 3.38 5.06 7.59 11.39 46.31

Jumlah 12.00 192.08 12.40 14.40 17.83 22.99 30.48 213.36

Rerata 0.75 12.01 - - - - - -


Q =

=

=

=

Xi2 Xi3 Xi4 Xi5 Xi6

a + b.h + c.h2 + d.h3

Q . h a.h + b.h2 + c.h3+ d.h4

Q . h2 a.h2 + b.h3 + c.h4 + d.h5

Q . h3 a.h3 + b.h4 + c.h5 + d.h6

dari persamaan tersebut didapatkan :192.080 = 16 a + 12.000 b + 12.400 c + 14.400

213.363 = 12.000 a + 12.400 b + 14.400 c + 17.8310.00 0.00 259.087 = 12.400 a + 14.400 b + 17.831 c + 22.9920.01 0.00 330.223 = 14.400 a + 17.831 b + 22.992 c + 30.483

0.07 0.01 Dengan metode eliminasi didapat :0.24 0.07 Persamaan 1 dan 2 :

0.61 0.24 16 a + 12.000 b + 12.400 c + 14.4001.35 0.67 12.000 a + 12.400 b + 14.400 c + 17.8312.43 1.46 maka :4.22 2.96 12 a + 9.000 b + 9.300 c + 10.8006.71 5.37 12.000 a + 12.400 b + 14.400 c + 17.831

10.48 9.43 -3.400 b + -5.100 c + -7.03115.48 15.4822.29 24.52 Persamaan 2 dan 3 :30.48 36.58 12.000 a + 12.400 b + 14.400 c + 17.83141.07 53.39 12.400 a + 14.400 b + 17.831 c + 22.99254.17 75.84 maka :69.46 104.19 12.400 a + 12.813 b + 14.880 c + 18.426

259.09 330.22 12.400 a + 14.400 b + 17.831 c + 22.992

- - -1.587 b + -2.951 c + -4.566

Persamaan 3 dan 4 :

12.400 a + 14.400 b + 17.831 c + 22.992

14.400 a + 17.831 b + 22.992 c + 30.483

maka :

14.400 a + 16.723 b + 20.707 c + 26.700

14.400 a + 17.831 b + 22.992 c + 30.483

-1.109 b + -2.285 c + -3.783Persamaan 5 dan 6 :

-3.400 b + -5.100 c + -7.031-1.587 b + -2.951 c + -4.566

maka :-1.587 b + -2.380 c + -3.281-1.587 b + -2.951 c + -4.566

0.571 c + 1.285

Persamaan 6 dan 7:-1.587 b + -2.951 c + -4.566-1.109 b + -2.285 c + -3.783

maka :-1.109 b + -2.062 c + -3.191-1.109 b + -2.285 c + -3.783

0.223 c + 0.592Persamaan 8 dan 9

0.571 c + 1.285 d = 6.270 * 0.3900.223 c + 0.592 d = 2.370 * 1

Xi2*Yi Xi3*Yi

0.223 c + 0.501 d = 2.4450.223 c + 0.592 d = 2.370 -

-0.091 d = 0.076

d = -0.833

Maka dari nilai d dapat diketahui : 0.223 c + 0.501 d = 2.4450.223 c + -0.493 = 2.370

0.223 c = 2.863

c = 12.852

Dari persamaan 6 : -1.587 b + -2.951 c + -4.566 d = -38.612-1.587 b + -37.928 + 3.80445 = -38.612

-1.587 b = -4.488

b = 2.828

Maka nilai a : 16 a + 12 b + 12.4 c + 14.416 a + 33.9416 + 159.362 + -11.9971

16

dari perhitungan didapatkan :d a = 0.673

d b = 2.828d c = 12.852d d = -0.833

maka persamaannya menjadi

d = 192.080 * 0.75 y= 0.673 +d = 213.363 * 1

h Q dataQ model

Kesalahan Relatif (%)d = 144.06d = 213.363 - 0.00 0.59 0.67 14.12

d = -69.303 --- pers.5 0.10 1.08 1.08 0.360.20 1.86 1.75 6.110.30 2.65 2.66 0.23

d = 213.363 * 1.03333 0.40 3.82 3.81 0.32d = 259.087 * 1 0.50 5.39 5.20 3.59

0.60 6.76 6.82 0.84d = 220.475 0.70 8.62 8.66 0.52d = 259.087 - 0.80 10.49 10.73 2.33

d = -38.612 --- pers. 6 0.90 12.94 13.02 0.631.00 15.48 15.52 0.261.10 18.42 18.23 1.05

d = 259.087 * 1.16129 1.20 21.17 21.13 0.17

d = 330.223 * 1 1.30 24.30 24.24 0.25

1.40 27.64 27.54 0.37

d = 300.875 1.50 30.87 31.02 0.49

d = 330.223 - Kesalahan Relatif Maksimum 14.12

d = -29.348 --- pers. 7

d = -69.303 * 0.46667d = -38.612 * 1

d = -32.3414d = -38.612 -

d = 6.270 --- pers.8

d = -38.612 * 0.69871d = -29.348 * 1

d = -26.9783d = -29.348 -

d = 2.370 --- pers. 9

0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.600.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00

f(x) = − 0.83313487338255 x³ + 12.851794361469 x² + 2.8284666700688 x + 0.673330753354R² = 0.999860436698409


Lengkung Debit


d = 192.08= 192.08

a = 10.7733

a = 0.673

maka persamaannya menjadi

2.828 x + 12.852 + -0.833x2 x3

0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.600.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00

f(x) = − 0.83313487338255 x³ + 12.851794361469 x² + 2.8284666700688 x + 0.673330753354R² = 0.999860436698409


Lengkung Debit




1 0.000 0.59 0.00 0.00 0.00 0.00 0.00 0.002 0.100 1.08 0.01 0.00 0.00 0.00 0.00 0.11

3 0.200 1.76 0.04 0.01 0.00 0.00 0.00 0.354 0.300 2.65 0.09 0.03 0.01 0.00 0.00 0.79

5 0.400 3.82 0.16 0.06 0.03 0.01 0.00 1.536 0.500 5.39 0.25 0.13 0.06 0.03 0.02 2.707 0.600 6.76 0.36 0.22 0.13 0.08 0.05 4.068 0.700 8.62 0.49 0.34 0.24 0.17 0.12 6.039 0.800 10.68 0.64 0.51 0.41 0.33 0.26 8.54

10 0.900 12.94 0.81 0.73 0.66 0.59 0.53 11.6511 1.000 15.48 1.00 1.00 1.00 1.00 1.00 15.4812 1.100 18.23 1.21 1.33 1.46 1.61 1.77 20.0513 1.200 21.17 1.44 1.73 2.07 2.49 2.99 25.4014 1.300 24.30 1.69 2.20 2.86 3.71 4.83 31.5915 1.400 27.54 1.96 2.74 3.84 5.38 7.53 38.5616 1.500 30.87 2.25 3.38 5.06 7.59 11.39 46.31

Jumlah 12.00 191.88 12.40 14.40 17.83 22.99 30.48 213.15

Rerata 0.75 11.99 - - - - - -


Xi2 Xi3 Xi4 Xi5 Xi6

Q = a + b.h + c.h2 + d.h3

Q . h = a.h + b.h2 + c.h3+ d.h4

Q . h2 = a.h2 + b.h3 + c.h4 + d.h5

Q . h3 = a.h3 + b.h4 + c.h5 + d.h6

dari persamaan tersebut didapatkan :191.880 = 16 a + 12.000 b + 12.400 c + 14.400

213.146 = 12.000 a + 12.400 b + 14.400 c + 17.8310.00 0.00 258.778 = 12.400 a + 14.400 b + 17.831 c + 22.9920.01 0.00 329.792 = 14.400 a + 17.831 b + 22.992 c + 30.483

0.07 0.01 Dengan metode eliminasi didapat :0.24 0.07 Persamaan 1 dan 2 :

0.61 0.24 16 a + 12.000 b + 12.400 c + 14.4001.35 0.67 12.000 a + 12.400 b + 14.400 c + 17.8312.43 1.46 maka :4.22 2.96 12 a + 9.000 b + 9.300 c + 10.8006.84 5.47 12.000 a + 12.400 b + 14.400 c + 17.831

10.48 9.43 -3.400 b + -5.100 c + -7.03115.48 15.4822.06 24.26 Persamaan 2 dan 3 :30.48 36.58 12.000 a + 12.400 b + 14.400 c + 17.83141.07 53.39 12.400 a + 14.400 b + 17.831 c + 22.99253.98 75.57 maka :69.46 104.19 12.400 a + 12.813 b + 14.880 c + 18.426

258.78 329.79 12.400 a + 14.400 b + 17.831 c + 22.992

- - -1.587 b + -2.951 c + -4.566

Persamaan 3 dan 4 :

12.400 a + 14.400 b + 17.831 c + 22.992

14.400 a + 17.831 b + 22.992 c + 30.483

maka :

14.400 a + 16.723 b + 20.707 c + 26.700

14.400 a + 17.831 b + 22.992 c + 30.483

-1.109 b + -2.285 c + -3.783Persamaan 5 dan 6 :

-3.400 b + -5.100 c + -7.031-1.587 b + -2.951 c + -4.566

maka :-1.587 b + -2.380 c + -3.281-1.587 b + -2.951 c + -4.566

0.571 c + 1.285

Persamaan 6 dan 7:-1.587 b + -2.951 c + -4.566-1.109 b + -2.285 c + -3.783

maka :-1.109 b + -2.062 c + -3.191-1.109 b + -2.285 c + -3.783

0.223 c + 0.592Persamaan 8 dan 9

0.571 c + 1.285 d = 6.217 * 0.3900.223 c + 0.592 d = 2.356 * 1

Xi2*Yi Xi3*Yi

0.223 c + 0.501 d = 2.4250.223 c + 0.592 d = 2.356 -

-0.091 d = 0.069

d = -0.761

Maka dari nilai d dapat diketahui : 0.223 c + 0.501 d = 2.4250.223 c + -0.450 = 2.356

0.223 c = 2.806

c = 12.597

Dari persamaan 6 : -1.587 b + -2.951 c + -4.566 d = -38.528-1.587 b + -37.176 + 3.47488 = -38.528

-1.587 b = -4.826

b = 3.042

Maka nilai a : 16 a + 12 b + 12.4 c + 14.416 a + 36.501 + 156.202 + -10.9578

16

dari perhitungan didapatkan :d a = 0.633

d b = 3.042d c = 12.597d d = -0.761

d = 191.880 * 0.75 y= 0.633 +d = 213.146 * 1

h Q dataQ model

Kesalahan Relatif (%)d = 143.91d = 213.146 - 0.00 0.59 0.63 7.36

d = -69.236 --- pers.5 0.10 1.08 1.06 1.590.20 1.76 1.74 1.160.30 2.65 2.66 0.34

d = 213.146 * 1.03333 0.40 3.82 3.82 0.08d = 258.778 * 1 0.50 5.39 5.21 3.37

0.60 6.76 6.83 1.02d = 220.251 0.70 8.62 8.67 0.63d = 258.778 - 0.80 10.68 10.74 0.55

d = -38.528 --- pers. 6 0.90 12.94 13.02 0.621.00 15.48 15.51 0.201.10 18.23 18.21 0.12

d = 258.778 * 1.16129 1.20 21.17 21.11 0.29

d = 329.792 * 1 1.30 24.30 24.20 0.39

1.40 27.54 27.49 0.17

d = 300.517 1.50 30.87 30.97 0.33

d = 329.792 - Kesalahan Relatif Maksimum 7.36

d = -29.275 --- pers. 7

d = -69.236 * 0.46667d = -38.528 * 1

d = -32.3101d = -38.528 -

d = 6.217 --- pers.8

d = -38.528 * 0.69871d = -29.275 * 1

d = -26.9196d = -29.275 -

d = 2.356 --- pers. 9

0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.600.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00

f(x) = − 0.7609616046149 x³ + 12.596967531952 x² + 3.0417467121801 x + 0.6334055727554R² = 0.999945944464612


Lengkung Debit


d = 191.88= 191.88

a = 10.1345

a = 0.633

3.042 x + 12.597 + -0.761x2 x3

0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.600.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00

f(x) = − 0.7609616046149 x³ + 12.596967531952 x² + 3.0417467121801 x + 0.6334055727554R² = 0.999945944464612


Lengkung Debit



No Xi (h) Yi (Q)

1 0.000 0.59 0.00 0.00 0.00 0.00 0.00 0.002 0.100 1.08 0.01 0.00 0.00 0.00 0.00 0.003 0.200 1.86 0.04 0.01 0.00 0.00 0.00 0.004 0.300 2.65 0.09 0.03 0.01 0.00 0.00 0.00

5 0.400 3.82 0.16 0.06 0.03 0.01 0.00 0.006 0.500 5.39 0.25 0.13 0.06 0.03 0.02 0.017 0.600 6.76 0.36 0.22 0.13 0.08 0.05 0.038 0.700 8.62 0.49 0.34 0.24 0.17 0.12 0.089 0.800 10.49 0.64 0.51 0.41 0.33 0.26 0.21

10 0.900 12.94 0.81 0.73 0.66 0.59 0.53 0.4811 1.000 15.48 1.00 1.00 1.00 1.00 1.00 1.00

12 1.100 18.42 1.21 1.33 1.46 1.61 1.77 1.9513 1.200 21.17 1.44 1.73 2.07 2.49 2.99 3.5814 1.300 24.30 1.69 2.20 2.86 3.71 4.83 6.2715 1.400 27.64 1.96 2.74 3.84 5.38 7.53 10.5416 1.500 30.87 2.25 3.38 5.06 7.59 11.39 17.09

Jumlah 12.00 192.08 12.40 14.40 17.83 22.99 30.48 41.24Rerata 0.75 12.01 - - - - - -


Q =

=

=

=

=

Xi2 Xi3 Xi4 Xi5 Xi6 Xi7

a + b.h + c.h2 + d.h3 + e.h4

Q.h a.h + b.h2 + c.h3 + d.h4 + e.h5

Q.h2 a.h2 + b.h3 + c.h4 + d.h5 + e.h6

Q.h3 a.h3 + b.h4 + c.h5 + d.h5 + e.h7

Q.h4 a + b.h + c.h2 + d.h3 + e.h8

dari persamaan tersebut didapatkan :192.080 = 16 a +

XiYi 213.363 = 12.000 a +0.00 0.00 0.00 0.00 0.00 259.087 = 12.400 a +0.00 0.11 0.01 0.00 0.00 330.223 = 14.400 a +0.00 0.37 0.07 0.01 0.00 434.403 = 17.831 a +0.00 0.79 0.24 0.07 0.02

0.00 1.53 0.61 0.24 0.10 Dengan metode eliminasi didapat :0.00 2.70 1.35 0.67 0.34 Persamaan 1 dan 2 :0.02 4.06 2.43 1.46 0.88 16 a +0.06 6.03 4.22 2.96 2.07 12.000 a +0.17 8.39 6.71 5.37 4.30 maka :0.43 11.65 10.48 9.43 8.49 12 a +1.00 15.48 15.48 15.48 15.48 12.000 a +

2.14 20.26 22.29 24.52 26.974.30 25.40 30.48 36.58 43.908.16 31.59 41.07 53.39 69.40 Persamaan 2 dan 3 :

14.76 38.70 54.17 75.84 106.18 12.000 a +25.63 46.31 69.46 104.19 156.28 12.400 a +56.66 213.36 259.09 330.22 434.40 maka :

- - - - - 12.400 a +12.400 a +

Persamaan 3 dan 4 :

12.400 a +

14.400 a +

maka :14.400 a +14.400 a +

Persamaan 4 dan 5 :14.400 a +17.831 a +

maka :17.831 a +17.831 a +

Persamaan 6 dan 7 :-3.400 b +-1.587 b +

maka :-1.587 b +-1.587 b +

Xi8 Xi2*Yi Xi3*Yi Xi4*Yi

Persamaan 7 dan 8 :-1.587 b +-1.109 b +

maka :-1.109 b +-1.109 b +

Persamaan 8 dan 9 :-1.109 b +-0.912 b +

maka :-0.912 b +-0.912 b +

Persamaan 10 dan 11 :

Maka :


Maka :

Persamaan 13 dan 14:

Maka :

16 a +16 a +

dari persamaan tersebut didapatkan :12.000 b + 12.400 c + 14.400 d + 17.831 e

12.400 b + 14.400 c + 17.831 d + 22.992 e14.400 b + 17.831 c + 22.992 d + 30.483 e17.831 b + 22.992 c + 30.483 d + 41.242 e22.992 b + 30.483 c + 41.242 d + 56.665 e

12.000 b + 12.400 c + 14.400 d + 17.831 e = 192.08012.400 b + 14.400 c + 17.831 d + 22.992 e = 213.363

9.000 b + 9.300 c + 10.800 d + 13.373 e = 144.0612.400 b + 14.400 c + 17.831 d + 22.992 e = 213.363

-3.400 b + -5.100 c + -7.031 d + -9.619 e = -69.303

12.400 b + 14.400 c + 17.831 d + 22.992 e = 213.36314.400 b + 17.831 c + 22.992 d + 30.483 e = 259.087

12.813 b + 14.880 c + 18.426 d + 23.758 e = 220.47514.400 b + 17.831 c + 22.992 d + 30.483 e = 259.087

-1.587 b + -2.951 c + -4.566 d + -6.725 e = -38.612

14.400 b + 17.831 c + 22.992 d + 30.483 e = 259.087

17.831 b + 22.992 c + 30.483 d + 41.242 e = 330.223

16.723 b + 20.707 c + 26.700 d + 35.400 e = 300.87517.831 b + 22.992 c + 30.483 d + 41.242 e = 330.223

-1.109 b + -2.285 c + -3.783 d + -5.843 e = -29.348

17.831 b + 22.992 c + 30.483 d + 41.242 e = 330.22322.992 b + 30.483 c + 41.242 d + 56.665 e = 434.403

22.080 b + 28.470 c + 37.746 d + 51.069 e = 408.90822.992 b + 30.483 c + 41.242 d + 56.665 e = 434.403

-0.912 b + -2.012 c + -3.496 d + -5.596 e = -25.495

-5.100 c + -7.031 d + -9.619 e = -69.303 * 0.47-2.951 c + -4.566 d + -6.725 e = -38.612 * 1

-2.380 c + -3.281 d + -4.489 e = -32.341-2.951 c + -4.566 d + -6.725 e = -38.612 -

0.571 c + 1.285 d + 2.236 e = 6.270 --- pers.10

-2.951 c + -4.566 d + -6.725 e = -38.612 * 0.70-2.285 c + -3.783 d + -5.843 e = -29.348 * 1

-2.062 c + -3.191 d + -4.698 e = -26.978-2.285 c + -3.783 d + -5.843 e = -29.348 -

0.223 c + 0.592 d + 1.144 e = 2.370 --- pers.11

-2.285 c + -3.783 d + -5.843 e = -29.348 * 0.82-2.012 c + -3.496 d + -5.596 e = -25.495 * 1

-1.880 c + -3.112 d + -4.806 e = -24.144-2.012 c + -3.496 d + -5.596 e = -25.495 -

0.133 c + 0.384 d + 0.789 e = 1.351 --- pers.12

0.571 c + 1.285 d + 2.236 e = 6.270 * 0.3900.223 c + 0.592 d + 1.144 e = 2.370 * 1

0.223 c + 0.501 d + 0.872 e = 2.4450.223 c + 0.592 d + 1.144 e = 2.370 -

-0.091 d + -0.272 e = 0.076 --- pers.13

0.223 c + 0.592 d + 1.144 e = 2.370 * 0.5960.133 c + 0.384 d + 0.789 e = 1.351 * 1

0.133 c + 0.353 d + 0.682 e = 1.4130.133 c + 0.384 d + 0.789 e = 1.351 -

-0.031 d + -0.107 e = 0.061 --- pers.14

-0.091 d + -0.2721 e = 0.076 * 0.343-0.031 d + -0.1071 e = 0.061 * 1

Maka :-0.031 d + -0.0933 e = 0.026-0.031 d + -0.1071 e = 0.061 -

0.01382 e = -0.035530e = -2.571

Dari Persamaan 13 :-0.091 d + -0.2721 e = 0.076-0.091 d + 0.6995 = 0.076

-0.091 d = -0.624d = 6.8792669

Dari Persamaan 12 :0.133 c + 0.384 d + 0.789 e = 1.3510.133 c + 2.642 + -2.0289 = 1.351

0.133 c = 0.739c = 5.5617384

Dari Persamaan 9-0.912 b + -2.012 c + -3.496 d + -5.596 e = -25.495-0.912 b + -11.193 + -24.048 + 14.385 = -25.495

-0.912 b = -4.640b = 5.0871

Dari Persamaan 112 b + 12.4 c + 14.4 d + 17.8312 e = 192.08

61.04518337689 + 68.965556 + 99.061443 + -45.8404594346256 = 192.0816 a = 8.848

a = 0.55302


b = 5.087c = 5.562d = 6.879e = -2.571


y= 0.553 + 5.087 x +

* 0.75h Q data


* 10.00 0.59 0.55 6.270.10 1.08 1.12 4.07

- 0.20 1.86 1.84 0.87

--- pers.6 0.30 2.65 2.74 3.570.40 3.82 3.85 0.840.50 5.39 5.19 3.78

* 1.03 0.60 6.76 6.76 0.00* 1 0.70 8.62 8.58 0.45

0.80 10.49 10.65 1.54

0.90 12.94 12.96 0.19- 1.00 15.48 15.51 0.20

--- pers. 7 1.10 18.42 18.27 0.81

1.20 21.17 21.22 0.25

1.30 24.30 24.34 0.15

* 1.16 1.40 27.64 27.58 0.23

* 1 1.50 30.87 30.90 0.10


-

--- pers. 8

* 1.24* 1

-

--- pers. 9

0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.600.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00

f(x) = − 2.5708005874415 x⁴ + 6.8792668889419 x³ + 5.5617384099388 x² + 5.0870986147496 x + 0.5530172858617R² = 0.999922082195325


Lengkung Debit


5.562 + 6.879 + -2.571x2 x3 x4

0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.600.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00

f(x) = − 2.5708005874415 x⁴ + 6.8792668889419 x³ + 5.5617384099388 x² + 5.0870986147496 x + 0.5530172858617R² = 0.999922082195325


Lengkung Debit



No Xi (h) Yi (Q)

1 0.000 0.59 0.00 0.00 0.00 0.00 0.002 0.100 1.08 0.01 0.00 0.00 0.00 0.003 0.200 1.76 0.04 0.01 0.00 0.00 0.004 0.300 2.65 0.09 0.03 0.01 0.00 0.00

5 0.400 3.82 0.16 0.06 0.03 0.01 0.006 0.500 5.39 0.25 0.13 0.06 0.03 0.027 0.600 6.76 0.36 0.22 0.13 0.08 0.058 0.700 8.62 0.49 0.34 0.24 0.17 0.129 0.800 10.68 0.64 0.51 0.41 0.33 0.26

10 0.900 12.94 0.81 0.73 0.66 0.59 0.5311 1.000 15.48 1.00 1.00 1.00 1.00 1.00

12 1.100 18.23 1.21 1.33 1.46 1.61 1.7713 1.200 21.17 1.44 1.73 2.07 2.49 2.9914 1.300 24.30 1.69 2.20 2.86 3.71 4.8315 1.400 27.54 1.96 2.74 3.84 5.38 7.5316 1.500 30.87 2.25 3.38 5.06 7.59 11.39

Jumlah 12.00 191.88 12.40 14.40 17.83 22.99 30.48Rerata 0.75 11.99 - - - - -


Xi2 Xi3 Xi4 Xi5 Xi6

Q = a + b.h + c.h2 + d.h3 + e.h4

Q.h = a.h + b.h2 + c.h3 + d.h4 + e.h5

Q.h2 = a.h2 + b.h3 + c.h4 + d.h5 + e.h6

Q.h3 = a.h3 + b.h4 + c.h5 + d.h5 + e.h7

Q.h4 = a + b.h + c.h2 + d.h3 + e.h8

dari persamaan tersebut didapatkan :191.880 = 16

XiYi 213.146 = 12.0000.00 0.00 0.00 0.00 0.00 0.00 258.778 = 12.4000.00 0.00 0.11 0.01 0.00 0.00 329.792 = 14.4000.00 0.00 0.35 0.07 0.01 0.00 433.818 = 17.8310.00 0.00 0.79 0.24 0.07 0.02

0.00 0.00 1.53 0.61 0.24 0.10 Dengan metode eliminasi didapat :0.01 0.00 2.70 1.35 0.67 0.34 Persamaan 1 dan 2 :0.03 0.02 4.06 2.43 1.46 0.88 160.08 0.06 6.03 4.22 2.96 2.07 12.0000.21 0.17 8.54 6.84 5.47 4.37 maka :0.48 0.43 11.65 10.48 9.43 8.49 121.00 1.00 15.48 15.48 15.48 15.48 12.000

1.95 2.14 20.05 22.06 24.26 26.693.58 4.30 25.40 30.48 36.58 43.906.27 8.16 31.59 41.07 53.39 69.40 Persamaan 2 dan 3 :

10.54 14.76 38.56 53.98 75.57 105.80 12.00017.09 25.63 46.31 69.46 104.19 156.28 12.40041.24 56.66 213.15 258.78 329.79 433.82 maka :

- - - - - - 12.40012.400

Persamaan 3 dan 4 :

12.400

14.400

maka :14.40014.400

Persamaan 4 dan 5 :14.40017.831

maka :17.83117.831

Persamaan 6 dan 7 :-3.400-1.587

maka :-1.587-1.587

Xi7 Xi8 Xi2*Yi Xi3*Yi Xi4*Yi

Persamaan 7 dan 8 :-1.587-1.109

maka :-1.109-1.109

Persamaan 8 dan 9 :-1.109-0.912

maka :-0.912-0.912


Maka :


Maka :


1616

dari persamaan tersebut didapatkan :a + 12.000 b + 12.400 c + 14.400 d + 17.831 e

a + 12.400 b + 14.400 c + 17.831 d + 22.992 ea + 14.400 b + 17.831 c + 22.992 d + 30.483 ea + 17.831 b + 22.992 c + 30.483 d + 41.242 ea + 22.992 b + 30.483 c + 41.242 d + 56.665 e


a + 12.000 b + 12.400 c + 14.400 d + 17.831 e =a + 12.400 b + 14.400 c + 17.831 d + 22.992 e =

a + 9.000 b + 9.300 c + 10.800 d + 13.373 e =a + 12.400 b + 14.400 c + 17.831 d + 22.992 e =

-3.400 b + -5.100 c + -7.031 d + -9.619 e =

a + 12.400 b + 14.400 c + 17.831 d + 22.992 e =a + 14.400 b + 17.831 c + 22.992 d + 30.483 e =

a + 12.813 b + 14.880 c + 18.426 d + 23.758 e =a + 14.400 b + 17.831 c + 22.992 d + 30.483 e =

-1.587 b + -2.951 c + -4.566 d + -6.725 e =

a + 14.400 b + 17.831 c + 22.992 d + 30.483 e =

a + 17.831 b + 22.992 c + 30.483 d + 41.242 e =

a + 16.723 b + 20.707 c + 26.700 d + 35.400 e =a + 17.831 b + 22.992 c + 30.483 d + 41.242 e =

-1.109 b + -2.285 c + -3.783 d + -5.843 e =

a + 17.831 b + 22.992 c + 30.483 d + 41.242 e =a + 22.992 b + 30.483 c + 41.242 d + 56.665 e =

a + 22.080 b + 28.470 c + 37.746 d + 51.069 e =a + 22.992 b + 30.483 c + 41.242 d + 56.665 e =

-0.912 b + -2.012 c + -3.496 d + -5.596 e =

b + -5.100 c + -7.031 d + -9.619 e = -69.236 * 0.47b + -2.951 c + -4.566 d + -6.725 e = -38.528 * 1

b + -2.380 c + -3.281 d + -4.489 e = -32.310b + -2.951 c + -4.566 d + -6.725 e = -38.528 -

0.571 c + 1.285 d + 2.236 e = 6.217 --- pers.10

b + -2.951 c + -4.566 d + -6.725 e = -38.528 * 0.70b + -2.285 c + -3.783 d + -5.843 e = -29.275 * 1

b + -2.062 c + -3.191 d + -4.698 e = -26.920b + -2.285 c + -3.783 d + -5.843 e = -29.275 -

0.223 c + 0.592 d + 1.144 e = 2.356 --- pers.11

b + -2.285 c + -3.783 d + -5.843 e = -29.275 * 0.82b + -2.012 c + -3.496 d + -5.596 e = -25.444 * 1

b + -1.880 c + -3.112 d + -4.806 e = -24.084b + -2.012 c + -3.496 d + -5.596 e = -25.444 -

0.133 c + 0.384 d + 0.789 e = 1.360 --- pers.12

0.571 c + 1.285 d + 2.236 e = 6.217 *0.223 c + 0.592 d + 1.144 e = 2.356 *

Maka :0.223 c + 0.501 d + 0.872 e = 2.4250.223 c + 0.592 d + 1.144 e = 2.356 -

-0.091 d + -0.272 e = 0.069 --- pers.13

0.223 c + 0.592 d + 1.144 e = 2.356 *0.133 c + 0.384 d + 0.789 e = 1.360 *

Maka :0.133 c + 0.353 d + 0.682 e = 1.4050.133 c + 0.384 d + 0.789 e = 1.360 -

-0.031 d + -0.107 e = 0.044 --- pers.14

-0.091 d + -0.2721 e = 0.069 *-0.031 d + -0.1071 e = 0.044 *

Maka :-0.031 d + -0.0933 e = 0.024-0.031 d + -0.1071 e = 0.044 -

0.01382 e = -0.020736e = -1.500

Dari Persamaan 13 :-0.091 d + -0.2721 e = 0.069-0.091 d + 0.4082 = 0.069

-0.091 d = -0.339d = 3.7401101

Dari Persamaan 12 :0.133 c + 0.384 d + 0.789 e = 1.3600.133 c + 1.436 + -1.1841 = 1.360

0.133 c = 1.108c = 8.3423831

Dari Persamaan 9-0.912 b + -2.012 c + -3.496 d + -5.596 e =-0.912 b + -16.789 + -13.075 + 8.396 =

-0.912 b =b =

Dari Persamaan 1a + 12 b + 12.4 c + 14.4 d + 17.8312 e =a + 52.31901246326 + 103.44555 + 53.857585 + -26.7531698022989 =

16 a =a =


b = 4.360c = 8.342d = 3.740e = -1.500

y= 0.563 +

191.880 * 0.75h Q data


213.146 * 10.00 0.59 0.56 4.54

143.91 0.10 1.08 1.09 0.57213.146 - 0.20 1.76 1.80 2.07

-69.236 --- pers.6 0.30 2.65 2.71 2.290.40 3.82 3.84 0.600.50 5.39 5.20 3.48

213.146 * 1.03 0.60 6.76 6.80 0.53258.778 * 1 0.70 8.62 8.63 0.06

0.80 10.68 10.69 0.10220.251 0.90 12.94 12.99 0.36258.778 - 1.00 15.48 15.51 0.16

-38.528 --- pers. 7 1.10 18.23 18.23 0.03

1.20 21.17 21.16 0.05

1.30 24.30 24.26 0.16

258.778 * 1.16 1.40 27.54 27.52 0.08

329.792 * 1 1.50 30.87 30.90 0.10

Kesalahan Relatif Maksimum 4.54300.517329.792 -

-29.275 --- pers. 8

329.792 * 1.24433.818 * 1

408.374433.818 -

-25.444 --- pers. 9

0.47

0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.600.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00

f(x) = − 1.5003572279114 x⁴ + 3.7401100791194 x³ + 8.342383107089 x² + 4.3599177052737 x + 0.5631888544892R² = 0.99996699844901


Lengkung Debit


0.70

0.82

0.3901

0.5961

0.3431

-25.444-25.444

-3.9764.35992

191.88191.88

9.0110.56319

4.360 x + 8.342 + 3.740 + -1.500x2 x3 x4

0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.600.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00

f(x) = − 1.5003572279114 x⁴ + 3.7401100791194 x³ + 8.342383107089 x² + 4.3599177052737 x + 0.5631888544892R² = 0.99996699844901


Lengkung Debit



No Xi (h) Yi (Q)

1 0.000 0.59 0.00 0.00 0.00 0.00 0.002 0.100 1.08 0.01 0.00 0.00 0.00 0.003 0.200 1.86 0.04 0.01 0.00 0.00 0.004 0.300 2.65 0.09 0.03 0.01 0.00 0.005 0.400 3.82 0.16 0.06 0.03 0.01 0.006 0.500 5.39 0.25 0.13 0.06 0.03 0.027 0.600 6.76 0.36 0.22 0.13 0.08 0.05

8 0.700 8.62 0.49 0.34 0.24 0.17 0.129 0.800 10.49 0.64 0.51 0.41 0.33 0.26

10 0.900 12.94 0.81 0.73 0.66 0.59 0.5311 1.000 15.48 1.00 1.00 1.00 1.00 1.0012 1.100 18.42 1.21 1.33 1.46 1.61 1.7713 1.200 21.17 1.44 1.73 2.07 2.49 2.9914 1.300 24.30 1.69 2.20 2.86 3.71 4.83

15 1.400 27.64 1.96 2.74 3.84 5.38 7.5316 1.500 30.87 2.25 3.38 5.06 7.59 11.39

Jumlah 12.00 192.08 12.40 14.40 17.83 22.99 30.48Rerata 0.75 12.01 - - - - -


Q =

Q.h =

=

=

=

=

Xi2 Xi3 Xi4 Xi5 Xi6

a + b.h + c.h2 + d.h3 + e.h4 + f.h5

a.h + b.h2 + c.h3 + d.h4 + e.h5+ f.h6

Q.h2 a.h2 + b.h3 + c.h4 + d.h5 + e.h6 + f.h7

Q.h3 a.h3 + b.h4 + c.h5 + d.h6 + e.h7 + f.h8

Q.h4 a.h4 + b.h5 + c.h6 + d.h7 + e.h8+ f.h9

Q.h5 a.h5 + b.h6 + c.h7+ d.h8 + e.h9+ f.h10

XiYi

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.11 0.01 0.00 0.00 0.000.00 0.00 0.00 0.00 0.37 0.07 0.01 0.00 0.000.00 0.00 0.00 0.00 0.79 0.24 0.07 0.02 0.010.00 0.00 0.00 0.00 1.53 0.61 0.24 0.10 0.040.01 0.00 0.00 0.00 2.70 1.35 0.67 0.34 0.170.03 0.02 0.01 0.01 4.06 2.43 1.46 0.88 0.53

0.08 0.06 0.04 0.03 6.03 4.22 2.96 2.07 1.450.21 0.17 0.13 0.11 8.39 6.71 5.37 4.30 3.44

0.48 0.43 0.39 0.35 11.65 10.48 9.43 8.49 7.641.00 1.00 1.00 1.00 15.48 15.48 15.48 15.48 15.481.95 2.14 2.36 2.59 20.26 22.29 24.52 26.97 29.673.58 4.30 5.16 6.19 25.40 30.48 36.58 43.90 52.686.27 8.16 10.60 13.79 31.59 41.07 53.39 69.40 90.22

10.54 14.76 20.66 28.93 38.70 54.17 75.84 106.18 148.6517.09 25.63 38.44 57.67 46.31 69.46 104.19 156.28 234.4241.24 56.66 78.80 110.65 213.36 259.09 330.22 434.40 584.39

- - - - - - - - -

Xi7 Xi8 Xi9 Xi10 Xi2*Yi Xi3*Yi Xi4*Yi Xi5*Yi

dari persamaan tersebut didapatkan :192.080 = 16 a + 12.000 b + 12.400 c + 14.400 d +

213.363 = 12.000 a + 12.400 b + 14.400 c + 17.831 d +259.087 = 12.400 a + 14.400 b + 17.831 c + 22.992 d +330.223 = 14.400 a + 17.831 b + 22.992 c + 30.483 d +434.403 = 17.831 a + 22.992 b + 30.483 c + 41.242 d +584.388 = 22.992 a + 30.483 b + 41.242 c + 56.665 d +

Dengan metode eliminasi didapat :Persamaan 1 dan 2 :

16 a + 12 b + 12.4 c + 14.4 d +12.000 a + 12.400 b + 14.400 c + 17.831 d +

maka :12 a + 9.000 b + 9.300 c + 10.800 d +

12.000 a + 12.400 b + 14.400 c + 17.831 d +

-3.400 b + -5.100 c + -7.031 d +

Persamaan 2 dan 3 :12.000 a + 12.400 b + 14.400 c + 17.831 d +12.400 a + 14.400 b + 17.831 c + 22.992 d +

maka :

12.400 a + 12.813 b + 14.880 c + 18.426 d +

12.400 a + 14.400 b + 17.831 c + 22.992 d +

-1.587 b + -2.951 c + -4.566 d +

Persamaan 3 dan 4 :

12.400 a + 14.400 b + 17.831 c + 22.992 d +14.400 a + 17.831 b + 22.992 c + 30.483 d +

maka :14.4 a + 16.723 b + 20.707 c + 26.700 d +

14.400 a + 17.831 b + 22.992 c + 30.483 d +

-1.109 b + -2.285 c + -3.783 d +


maka :17.8312 a + 22.080 b + 28.470 c + 37.746 d +

17.831 a + 22.992 b + 30.483 c + 41.242 d +

-0.912 b + -2.012 c + -3.496 d +


maka :22.992 a + 29.646 b + 39.305 c + 53.179 d +22.992 a + 30.483 b + 41.242 c + 56.665 d +

-0.836 b + -1.937 c + -3.486 d +

Persamaan 7 dan 8 :-3.400 b + -5.100 c + -7.031 d + -9.619 e +-1.587 b + -2.951 c + -4.566 d + -6.725 e +

maka :-1.587 b + -2.380 c + -3.281 d + -4.489 e +-1.587 b + -2.951 c + -4.566 d + -6.725 e +

0.571 c + 1.285 d + 2.236 e +


maka :-1.109 b + -2.062 c + -3.191 d + -4.698 e +-1.109 b + -2.285 c + -3.783 d + -5.843 e +

0.223 c + 0.592 d + 1.144 e +


maka :-0.912 b + -1.880 c + -3.112 d + -4.806 e +-0.912 b + -2.012 c + -3.496 d + -5.596 e +

0.133 c + 0.384 d + 0.789 e +


maka :-0.836 b + -1.846 c + -3.206 d + -5.132 e +-0.836 b + -1.937 c + -3.486 d + -5.736 e +

0.091 c + 0.280 d + 0.604 e +

Persamaan 12 dan 13 :0.571 c + 1.285 d + 2.236 e +0.223 c + 0.592 d + 1.144 e +

Maka :0.223 c + 0.501 d + 0.872 e +0.223 c + 0.592 d + 1.144 e +

-0.091 d + -0.272 e +


Maka :0.133 c + 0.353 d + 0.682 e +0.133 c + 0.384 d + 0.789 e +

-0.031 d + -0.107 e +


Maka :0.091 c + 0.263 d + 0.540 e +0.091 c + 0.280 d + 0.604 e +

-0.017 d + -0.063 e +

Persamaan 16 dan 17:-0.091 d + -0.272 e +-0.031 d + -0.107 e +

Maka :-0.031 d + -0.0933 e +-0.031 d + -0.107 e +

0.01382 e +


Maka :-0.017 d + -0.0592 e +-0.017 d + -0.063 e +

0.00422 e +

Persamaan 19 dan 20:0.01382 e +0.00422 e +

Maka :0.0042 e +0.0042 e +

Dari persamaan 20 :0.00422 e +0.00422 e +

Dari persamaan 18 :-0.017 d + -0.063 e +

-0.017 d + -0.395 +

Dari persamaan 15 :0.091 c + 0.280 d + 0.604 e +0.091 c + -1.315 + 3.760 +

Dari Persamaan 7

-3.400 b + -5.100 c + -7.031 d + -9.619 e +-3.400 b + -60.218 + 33.000 + -59.885 +

Dari persamaan 1 :16 a + 12 b + 12.4 c + 14.4 d +16 a + 46.7855549 + 146.41203 + -67.583949 +

dari perhitungan didapatkan :17.831 e + 22.992 f

22.992 e + 30.483 f30.483 e + 41.242 f41.242 e + 56.665 f56.665 e + 78.801 f78.801 e + 110.653 f f =

17.8312 e + 22.992 f = 192.080 * 0.7522.992 e + 30.483 f = 213.363 * 1

13.373 e + 17.244 f = 144.060h

22.992 e + 30.483 f = 213.363 -

-9.619 e + -13.239 f = -69.303 --- pers.7 0.000.100.20

22.992 e + 30.483 f = 213.363 * 1.03 0.3030.483 e + 41.242 f = 259.087 * 1 0.40

0.50

23.758 e + 31.499 f = 220.475 0.60

30.483 e + 41.242 f = 259.087 - 0.70

-6.725 e + -9.743 f = -38.612 --- pers.8 0.80

0.90

1.00

30.483 e + 41.242 f = 259.087 * 1.16129 1.1041.242 e + 56.665 f = 330.223 * 1 1.20

1.3035.400 e + 47.894 f = 300.875 1.40

41.242 e + 56.665 f = 330.223 - 1.50

-5.843 e + -8.771 f = -29.348 --- pers.9 Kesalahan Relatif Maksimum

41.242 e + 56.665 f = 330.223 * 1.2382856.665 e + 78.801 f = 434.403 * 1

51.069 e + 70.167 f = 408.90856.665 e + 78.801 f = 434.403 -

-5.596 e + -8.634 f = -25.495 --- pers.10

56.665 e + 78.801 f = 434.403 * 1.2894378.801 e + 110.653 f = 584.388 * 1

73.065 e + 101.608 f = 560.13078.801 e + 110.653 f = 584.388 -

-5.736 e + -9.045 f = -24.258 --- pers.11

0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.600.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00

f(x) = − 2.3457966182 x⁵ + 6.225936731 x⁴ − 4.6933297611 x³ + 11.807421906 x² + 3.8987962412 x + 0.5865621775R² = 0.999929567372612


Lengkung Debit


-13.239 f = -69.303 * 0.4667-9.743 f = -38.612 * 1

-6.178 f = -32.341-9.743 f = -38.612

3.565 f = 6.270 --- pers.12

-9.743 f = -38.612 * 0.6987-8.771 f = -29.348 * 1

-6.808 f = -26.978-8.771 f = -29.348

1.963 f = 2.370 --- pers.13

-8.771 f = -29.348 * 0.8227-8.634 f = -25.495 * 1

-7.215 f = -24.144-8.634 f = -25.495

1.419 f = 1.351 --- pers.14

-8.634 f = -25.495 * 0.9171-9.045 f = -24.258 * 1

-7.919 f = -23.383-9.045 f = -24.258

1.127 f = 0.876 --- pers.15

3.565 f = 6.270 * 0.3901.963 f = 2.370 * 1

1.390 f = 2.4451.963 f = 2.370 -

-0.573 f = 0.076 --- pers.16

1.963 f = 2.370 * 0.5961.419 f = 1.351 * 1

1.170 f = 1.4131.419 f = 1.351 -

-0.248 f = 0.061 --- pers.17

0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.600.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00

f(x) = − 2.3457966182 x⁵ + 6.225936731 x⁴ − 4.6933297611 x³ + 11.807421906 x² + 3.8987962412 x + 0.5865621775R² = 0.999929567372612


Lengkung Debit


1.419 f = 1.351 * 0.6851.127 f = 0.876 * 1

0.971 f = 0.9251.127 f = 0.876 -

-0.155 f = 0.050 --- pers.18

-0.573 f = 0.076 * 0.343-0.248 f = 0.061 * 1

-0.196 f = 0.02591-0.248 f = 0.061 -

### f = -0.036 --- pers.19

-0.248 f = 0.061 * 0.553-0.155 f = 0.050 * 1

-0.137 f = 0.03399-0.155 f = 0.050 -

### f = -0.016 --- pers.20

0.05183 f = -0.036 * 0.3060.01785 f = -0.016 * 1

0.01584 f = -0.010860.01785 f = -0.016 -

### f = 0.005

f = -2.346

0.01785 f = -0.01558-0.04188 = 0.02629

e = 6.2259

-0.155 f = 0.050

0.364 = 0.04957-0.017 d = 0.0807

d = -4.69333

1.127 f = 0.876-2.643 = 0.8760.091 c = 1.0738

c = 11.8074

-13.239 f = -69.30331.056 = -69.303-3.400 b = -13.256

b = 3.899

17.8312 e + 22.992 f = 192.08111.01592 + -53.9345558 = 192.08

16 a = 9.38499a = 0.58656


b = 3.899c = 11.807d = -4.693e = 6.226f = -2.346


y= ### + 3.899 x + 11.807 + -4.693

Q dataQ model


0.59 0.59 0.581.08 1.09 0.961.86 1.81 2.67

2.65 2.74 3.28

3.82 3.87 1.325.39 5.22 3.21

6.76 6.79 0.40

8.62 8.59 0.32

10.49 10.64 1.44

12.94 12.94 0.02

15.48 15.48 0.00

18.42 18.25 0.9121.17 21.23 0.2924.30 24.37 0.29

27.64 27.61 0.11

30.87 30.87 0.01


x2 x3

0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.600.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00

f(x) = − 2.3457966182 x⁵ + 6.225936731 x⁴ − 4.6933297611 x³ + 11.807421906 x² + 3.8987962412 x + 0.5865621775R² = 0.999929567372612


Lengkung Debit


0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.600.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00

f(x) = − 2.3457966182 x⁵ + 6.225936731 x⁴ − 4.6933297611 x³ + 11.807421906 x² + 3.8987962412 x + 0.5865621775R² = 0.999929567372612


Lengkung Debit


+ 6.226 + -2.346x4 x5


No Xi (h) Yi (Q)

1 0.000 0.59 0.00 0.00 0.00 0.00 0.002 0.100 1.08 0.01 0.00 0.00 0.00 0.003 0.200 1.76 0.04 0.01 0.00 0.00 0.004 0.300 2.65 0.09 0.03 0.01 0.00 0.005 0.400 3.82 0.16 0.06 0.03 0.01 0.006 0.500 5.39 0.25 0.13 0.06 0.03 0.027 0.600 6.76 0.36 0.22 0.13 0.08 0.05

8 0.700 8.62 0.49 0.34 0.24 0.17 0.129 0.800 10.68 0.64 0.51 0.41 0.33 0.26

10 0.900 12.94 0.81 0.73 0.66 0.59 0.5311 1.000 15.48 1.00 1.00 1.00 1.00 1.0012 1.100 18.23 1.21 1.33 1.46 1.61 1.7713 1.200 21.17 1.44 1.73 2.07 2.49 2.9914 1.300 24.30 1.69 2.20 2.86 3.71 4.83

15 1.400 27.54 1.96 2.74 3.84 5.38 7.5316 1.500 30.87 2.25 3.38 5.06 7.59 11.39

Jumlah 12.00 191.88 12.40 14.40 17.83 22.99 30.48Rerata 0.75 11.99 - - - - -


Xi2 Xi3 Xi4 Xi5 Xi6

Q = a + b.h + c.h2 + d.h3 + e.h4 + f.h5

Q.h = a.h + b.h2 + c.h3 + d.h4 + e.h5+ f.h6

Q.h2 = a.h2 + b.h3 + c.h4 + d.h5 + e.h6 + f.h7

Q.h3 = a.h3 + b.h4 + c.h5 + d.h6 + e.h7 + f.h8

Q.h4 = a.h4 + b.h5 + c.h6 + d.h7 + e.h8+ f.h9

Q.h5 = a.h5 + b.h6 + c.h7+ d.h8 + e.h9+ f.h10

XiYi

0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.00 0.000.00 0.00 0.00 0.00 0.11 0.01 0.00 0.00 0.000.00 0.00 0.00 0.00 0.35 0.07 0.01 0.00 0.000.00 0.00 0.00 0.00 0.79 0.24 0.07 0.02 0.010.00 0.00 0.00 0.00 1.53 0.61 0.24 0.10 0.040.01 0.00 0.00 0.00 2.70 1.35 0.67 0.34 0.170.03 0.02 0.01 0.01 4.06 2.43 1.46 0.88 0.53

0.08 0.06 0.04 0.03 6.03 4.22 2.96 2.07 1.450.21 0.17 0.13 0.11 8.54 6.84 5.47 4.37 3.50

0.48 0.43 0.39 0.35 11.65 10.48 9.43 8.49 7.641.00 1.00 1.00 1.00 15.48 15.48 15.48 15.48 15.481.95 2.14 2.36 2.59 20.05 22.06 24.26 26.69 29.363.58 4.30 5.16 6.19 25.40 30.48 36.58 43.90 52.686.27 8.16 10.60 13.79 31.59 41.07 53.39 69.40 90.22

10.54 14.76 20.66 28.93 38.56 53.98 75.57 105.80 148.1217.09 25.63 38.44 57.67 46.31 69.46 104.19 156.28 234.4241.24 56.66 78.80 110.65 213.15 258.78 329.79 433.82 583.61

- - - - - - - - -

Xi7 Xi8 Xi9 Xi10 Xi2*Yi Xi3*Yi Xi4*Yi Xi5*Yi

dari persamaan tersebut didapatkan :191.880 = 16 a + 12.000 b + 12.400 c + 14.400 d +

213.146 = 12.000 a + 12.400 b + 14.400 c + 17.831 d +258.778 = 12.400 a + 14.400 b + 17.831 c + 22.992 d +329.792 = 14.400 a + 17.831 b + 22.992 c + 30.483 d +433.818 = 17.831 a + 22.992 b + 30.483 c + 41.242 d +583.607 = 22.992 a + 30.483 b + 41.242 c + 56.665 d +

Dengan metode eliminasi didapat :Persamaan 1 dan 2 :

16 a + 12 b + 12.4 c + 14.4 d +12.000 a + 12.400 b + 14.400 c + 17.831 d +

maka :12 a + 9.000 b + 9.300 c + 10.800 d +

12.000 a + 12.400 b + 14.400 c + 17.831 d +

-3.400 b + -5.100 c + -7.031 d +


maka :

12.400 a + 12.813 b + 14.880 c + 18.426 d +

12.400 a + 14.400 b + 17.831 c + 22.992 d +

-1.587 b + -2.951 c + -4.566 d +

Persamaan 3 dan 4 :

12.400 a + 14.400 b + 17.831 c + 22.992 d +14.400 a + 17.831 b + 22.992 c + 30.483 d +

maka :14.4 a + 16.723 b + 20.707 c + 26.700 d +

14.400 a + 17.831 b + 22.992 c + 30.483 d +

-1.109 b + -2.285 c + -3.783 d +


maka :17.8312 a + 22.080 b + 28.470 c + 37.746 d +

17.831 a + 22.992 b + 30.483 c + 41.242 d +

-0.912 b + -2.012 c + -3.496 d +


maka :22.992 a + 29.646 b + 39.305 c + 53.179 d +22.992 a + 30.483 b + 41.242 c + 56.665 d +

-0.836 b + -1.937 c + -3.486 d +


maka :-1.587 b + -2.380 c + -3.281 d + -4.489 e +-1.587 b + -2.951 c + -4.566 d + -6.725 e +

0.571 c + 1.285 d + 2.236 e +


maka :-1.109 b + -2.062 c + -3.191 d + -4.698 e +-1.109 b + -2.285 c + -3.783 d + -5.843 e +

0.223 c + 0.592 d + 1.144 e +


maka :-0.912 b + -1.880 c + -3.112 d + -4.806 e +-0.912 b + -2.012 c + -3.496 d + -5.596 e +

0.133 c + 0.384 d + 0.789 e +


maka :-0.836 b + -1.846 c + -3.206 d + -5.132 e +-0.836 b + -1.937 c + -3.486 d + -5.736 e +

0.091 c + 0.280 d + 0.604 e +


Maka :0.223 c + 0.501 d + 0.872 e +0.223 c + 0.592 d + 1.144 e +

-0.091 d + -0.272 e +


Maka :0.133 c + 0.353 d + 0.682 e +0.133 c + 0.384 d + 0.789 e +

-0.031 d + -0.107 e +


Maka :0.091 c + 0.263 d + 0.540 e +0.091 c + 0.280 d + 0.604 e +

-0.017 d + -0.063 e +


Maka :-0.031 d + -0.0933 e +-0.031 d + -0.107 e +

0.01382 e +


Maka :-0.017 d + -0.0592 e +-0.017 d + -0.063 e +

0.00422 e +

Persamaan 19 dan 20:0.01382 e +0.00422 e +

Maka :0.0042 e +0.0042 e +

Dari persamaan 20 :0.00422 e +0.00422 e +

Dari persamaan 18 :-0.017 d + -0.063 e +

-0.017 d + -0.535 +

Dari persamaan 15 :0.091 c + 0.280 d + 0.604 e +0.091 c + -2.611 + 5.089 +

Dari Persamaan 7

-3.400 b + -5.100 c + -7.031 d + -9.619 e +-3.400 b + -78.495 + 65.536 + -81.062 +

Dari persamaan 1 :16 a + 12 b + 12.4 c + 14.4 d +16 a + 36.2256585 + 190.8513 + -134.21767 +

dari perhitungan didapatkan :17.831 e + 22.992 f

22.992 e + 30.483 f30.483 e + 41.242 f41.242 e + 56.665 f56.665 e + 78.801 f78.801 e + 110.653 f

17.8312 e + 22.992 f = 191.880 * 0.7522.992 e + 30.483 f = 213.146 * 1

13.373 e + 17.244 f = 143.910h

22.992 e + 30.483 f = 213.146 -

-9.619 e + -13.239 f = -69.236 --- pers.7 0.000.100.20

22.992 e + 30.483 f = 213.146 * 1.03 0.3030.483 e + 41.242 f = 258.778 * 1 0.40

0.50

23.758 e + 31.499 f = 220.251 0.60

30.483 e + 41.242 f = 258.778 - 0.70

-6.725 e + -9.743 f = -38.528 --- pers.8 0.80

0.90

1.00

30.483 e + 41.242 f = 258.778 * 1.16129 1.1041.242 e + 56.665 f = 329.792 * 1 1.20

1.3035.400 e + 47.894 f = 300.517 1.40

41.242 e + 56.665 f = 329.792 - 1.50

-5.843 e + -8.771 f = -29.275 --- pers.9 Kesalahan Relatif Maksimum

41.242 e + 56.665 f = 329.792 * 1.2382856.665 e + 78.801 f = 433.818 * 1

51.069 e + 70.167 f = 408.37456.665 e + 78.801 f = 433.818 -

-5.596 e + -8.634 f = -25.444 --- pers.10

56.665 e + 78.801 f = 433.818 * 1.2894378.801 e + 110.653 f = 583.607 * 1

73.065 e + 101.608 f = 559.37678.801 e + 110.653 f = 583.607 -

-5.736 e + -9.045 f = -24.231 --- pers.11

0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.600.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00

f(x) = − 2.64745574343 x⁵ + 8.42760180995 x⁴ − 9.32067158847 x³ + 15.391234024 x² + 3.01880487418 x + 0.60104747162R² = 0.999976558477083


Lengkung Debit


-13.239 f = -69.236 * 0.4667-9.743 f = -38.528 * 1

-6.178 f = -32.310-9.743 f = -38.528

3.565 f = 6.217 --- pers.12

-9.743 f = -38.528 * 0.6987-8.771 f = -29.275 * 1

-6.808 f = -26.920-8.771 f = -29.275

1.963 f = 2.356 --- pers.13

-8.771 f = -29.275 * 0.8227-8.634 f = -25.444 * 1

-7.215 f = -24.084-8.634 f = -25.444

1.419 f = 1.360 --- pers.14

-8.634 f = -25.444 * 0.9171-9.045 f = -24.231 * 1

-7.919 f = -23.336-9.045 f = -24.231

1.127 f = 0.895 --- pers.15

3.565 f = 6.217 * 0.3901.963 f = 2.356 * 1

1.390 f = 2.4251.963 f = 2.356 -

-0.573 f = 0.069 --- pers.16

1.963 f = 2.356 * 0.5961.419 f = 1.360 * 1

1.170 f = 1.4051.419 f = 1.360 -

-0.248 f = 0.044 --- pers.17

0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.600.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00

f(x) = − 2.64745574343 x⁵ + 8.42760180995 x⁴ − 9.32067158847 x³ + 15.391234024 x² + 3.01880487418 x + 0.60104747162R² = 0.999976558477083


Lengkung Debit


1.419 f = 1.360 * 0.6851.127 f = 0.895 * 1

0.971 f = 0.9311.127 f = 0.895 -

-0.155 f = 0.036 --- pers.18

-0.573 f = 0.069 * 0.343-0.248 f = 0.044 * 1

-0.196 f = 0.02366-0.248 f = 0.044 -

### f = -0.021 --- pers.19

-0.248 f = 0.044 * 0.553-0.155 f = 0.036 * 1

-0.137 f = 0.02456-0.155 f = 0.036 -

### f = -0.012 --- pers.20

0.05183 f = -0.021 * 0.3060.01785 f = -0.012 * 1

0.01584 f = -0.006340.01785 f = -0.012 -

### f = 0.005

f = -2.647

0.01785 f = -0.01167-0.04726 = 0.03559

e = 8.4276

-0.155 f = 0.036

0.411 = 0.03623-0.017 d = 0.1603

d = -9.32067

1.127 f = 0.895-2.983 = 0.8950.091 c = 1.3997

c = 15.3912

-13.239 f = -69.23635.049 = -69.236-3.400 b = -10.264

b = 3.019

17.8312 e + 22.992 f = 191.88150.27425 + -60.8703024 = 191.88

16 a = 9.61676a = 0.60105


b = 3.019c = 15.391d = -9.321e = 8.428

f = -2.647

y= ### + 3.019 x + 15.391 + -9.321

Q dataQ model


0.59 0.60 1.871.08 1.05 2.931.76 1.76 0.08

2.65 2.70 1.96

3.82 3.86 1.135.39 5.24 2.84

6.76 6.83 0.98

8.62 8.64 0.20

10.68 10.68 0.01

12.94 12.96 0.12

15.48 15.47 0.06

18.23 18.21 0.0921.17 21.17 0.0124.30 24.30 0.00

27.54 27.56 0.05

30.87 30.86 0.02


x2 x3

0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.600.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00

f(x) = − 2.64745574343 x⁵ + 8.42760180995 x⁴ − 9.32067158847 x³ + 15.391234024 x² + 3.01880487418 x + 0.60104747162R² = 0.999976558477083


Lengkung Debit


0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.600.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00

f(x) = − 2.64745574343 x⁵ + 8.42760180995 x⁴ − 9.32067158847 x³ + 15.391234024 x² + 3.01880487418 x + 0.60104747162R² = 0.999976558477083


Lengkung Debit


+ 8.428 + -2.647x4 x5

No Xi Yi

1 0.000 0.59 0.000 0.000 0.000 0.000 0.0002 0.100 1.08 0.010 0.001 0.000 0.000 0.0003 0.200 1.86 0.040 0.008 0.002 0.000 0.0004 0.300 2.65 0.090 0.027 0.008 0.002 0.0015 0.400 3.82 0.160 0.064 0.026 0.010 0.0046 0.500 5.39 0.250 0.125 0.063 0.031 0.0167 0.600 6.76 0.360 0.216 0.130 0.078 0.0478 0.700 8.62 0.490 0.343 0.240 0.168 0.1189 0.800 10.49 0.640 0.512 0.410 0.328 0.262

10 0.900 12.94 0.810 0.729 0.656 0.590 0.53111 1.000 15.48 1.000 1.000 1.000 1.000 1.00012 1.100 18.42 1.210 1.331 1.464 1.611 1.77213 1.200 21.17 1.440 1.728 2.074 2.488 2.98614 1.300 24.30 1.690 2.197 2.856 3.713 4.82715 1.400 27.64 1.960 2.744 3.842 5.378 7.53016 1.500 30.87 2.250 3.375 5.063 7.594 11.391

Jumlah 12.000 192.080 12.400 14.400 17.831 22.992 30.483

Rerata 0.750 12.005 - - - - -


Q =

Q . h =

=

=

=

=

=

Xi2 Xi3 Xi4 Xi5 Xi6

a + b.h + c.h2 + d.h3 + e.h4 + f.h5 + g.h6

a.h + b.h2 + c.h3 + d.h4 + e.h5+ f.h6 + g.h7

Q . h2 a.h2 + b.h3 + c.h4 + d.h5 + e.h6 + f.h7 + g.h8


Q . h4 a.h4 + b.h5 + c.h6 + d.h7 + e.h8+ f.h9 + g.h10

Q . h5 a.h5 + b.h6 + c.h7+ d.h8 + e.h9+ f.h10 + g.h11


XiYi

0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.108 0.011 0.0010.000 0.000 0.000 0.000 0.000 0.000 0.372 0.074 0.0150.000 0.000 0.000 0.000 0.000 0.000 0.795 0.239 0.0720.002 0.001 0.000 0.000 0.000 0.000 1.528 0.611 0.2440.008 0.004 0.002 0.001 0.000 0.000 2.695 1.348 0.6740.028 0.017 0.010 0.006 0.004 0.002 4.056 2.434 1.4600.082 0.058 0.040 0.028 0.020 0.014 6.034 4.224 2.9570.210 0.168 0.134 0.107 0.086 0.069 8.392 6.714 5.371

0.478 0.430 0.387 0.349 0.314 0.282 11.646 10.481 9.4331.000 1.000 1.000 1.000 1.000 1.000 15.480 15.480 15.4801.949 2.144 2.358 2.594 2.853 3.138 20.262 22.288 24.5173.583 4.300 5.160 6.192 7.430 8.916 25.404 30.485 36.5826.275 8.157 10.604 13.786 17.922 23.298 31.590 41.067 53.387

10.541 14.758 20.661 28.925 40.496 56.694 38.696 54.174 75.84417.086 25.629 38.443 57.665 86.498 129.746 46.305 69.458 104.186

41.242 56.665 78.801 110.653 156.622 223.160 213.363 259.087 330.223

- - - - - - - - -

Xi7 Xi8 Xi9 Xi10 Xi11 Xi12 Xi2*Yi Xi3*Yi

dari persamaan tersebut didapatkan :0.000 0.000 0.000 192.080 = 16 a +0.000 0.000 0.000 213.363 = 12.000 a +0.003 0.001 0.000 259.087 = 12.400 a +0.021 0.006 0.002 330.223 = 14.400 a +0.098 0.039 0.016 434.403 = 17.831 a +0.337 0.168 0.084 584.388 = 22.992 a +0.876 0.526 0.315 799.420 = 30.483 a +2.070 1.449 1.0144.297 3.437 2.750

8.490 7.641 6.877 Dengan metode eliminasi didapat :15.480 15.480 15.480 Persamaan 1 dan 2 :26.969 29.666 32.632 16 a +43.898 52.678 63.213 12.000 a +69.403 90.224 117.291 maka :

106.182 148.655 208.116 12 a +156.279 234.419 351.629 12.000 a +

434.403 584.388 799.420

- - -

Persamaan 2 dan 3 :

12.000 a +

12.400 a +

maka :

12.400 a +

12.400 a +

Persamaan 3 dan 4 :

12.400 a +

14.400 a +

maka :

14.400 a +

14.400 a +

Persamaan 4 dan 5 :14.400 a +17.831 a +

maka :17.831 a +17.831 a +

Persamaan 5 dan 6 :17.831 a +22.992 a +

maka :22.992 a +

Xi4*Yi Xi5*Yi Xi6*Yi

22.992 a +

Persamaan 6 dan 7 :22.992 a +30.483 a +

maka :30.483 a +30.483 a +

Persamaan 8 dan 9 :-3.400 b +-1.587 b +

maka :-1.587 b +-1.587 b +

Persamaan 9 dan 10 :-1.587 b +-1.109 b +

maka :-1.109 b +-1.109 b +

Persamaan 10 dan 11 :-1.109 b +-0.912 b +

maka :-0.912 b +-0.912 b +

Persamaan 11 dan 12 :-0.912 b +-0.836 b +

maka :-0.836 b +-0.836 b +

Persamaan 12 dan 13:-0.836 b +-0.828 b +

maka :-0.828 b +

-0.828 b +

Persamaan 14 dan 15 :0.571 c +0.223 c +

Maka :0.223 c +0.223 c +

Persamaan 15 dan 16 :0.223 c +0.133 c +

Maka :0.133 c +0.133 c +

Persamaan 16 dan 17 :0.133 c +0.091 c +

Maka :0.091 c +0.091 c +

Persamaan 17 dan 18:0.091 c +0.070 c +

Maka :0.070 c +0.070 c +


Maka :


Maka :


Maka :

12.000 b + 12.400 c + 14.400 d +12.400 b + 14.400 c + 17.831 d +14.400 b + 17.831 c + 22.992 d +17.831 b + 22.992 c + 30.483 d +22.992 b + 30.483 c + 41.242 d +30.483 b + 41.242 c + 56.665 d +41.242 b + 56.665 c + 78.801 d +

12 b + 12.4 c + 14.4 d +12.400 b + 14.400 c + 17.831 d +

9.000 b + 9.300 c + 10.800 d +12.400 b + 14.400 c + 17.831 d +

-3.400 b + -5.100 c + -7.031 d +

12.400 b + 14.400 c + 17.831 d +

14.400 b + 17.831 c + 22.992 d +

12.813 b + 14.880 c + 18.426 d +

14.400 b + 17.831 c + 22.992 d +

-1.587 b + -2.951 c + -4.566 d +

14.400 b + 17.831 c + 22.992 d +

17.831 b + 22.992 c + 30.483 d +

16.723 b + 20.707 c + 26.700 d +

17.831 b + 22.992 c + 30.483 d +

-1.109 b + -2.285 c + -3.783 d +

17.831 b + 22.992 c + 30.483 d +22.992 b + 30.483 c + 41.242 d +

22.080 b + 28.470 c + 37.746 d +22.992 b + 30.483 c + 41.242 d +

-0.912 b + -2.012 c + -3.496 d +

22.992 b + 30.483 c + 41.242 d +30.483 b + 41.242 c + 56.665 d +

29.646 b + 39.305 c + 53.179 d +

30.483 b + 41.242 c + 56.665 d +

-0.836 b + -1.937 c + -3.486 d +

30.483 b + 41.242 c + 56.665 d +41.242 b + 56.665 c + 78.801 d +

40.414 b + 54.679 c + 75.127 d +41.242 b + 56.665 c + 78.801 d +

-0.828 b + -1.986 c + -3.674 d +

-5.100 c + -7.031 d + -9.619 e +-2.951 c + -4.566 d + -6.725 e +

-2.380 c + -3.281 d + -4.489 e +-2.951 c + -4.566 d + -6.725 e +

0.571 c + 1.285 d + 2.236 e +

-2.951 c + -4.566 d + -6.725 e +-2.285 c + -3.783 d + -5.843 e +

-2.062 c + -3.191 d + -4.698 e +-2.285 c + -3.783 d + -5.843 e +

0.223 c + 0.592 d + 1.144 e +

-2.285 c + -3.783 d + -5.843 e +-2.012 c + -3.496 d + -5.596 e +

-1.880 c + -3.112 d + -4.806 e +-2.012 c + -3.496 d + -5.596 e +

0.133 c + 0.384 d + 0.789 e +

-2.012 c + -3.496 d + -5.596 e +-1.937 c + -3.486 d + -5.736 e +

-1.846 c + -3.206 d + -5.132 e +-1.937 c + -3.486 d + -5.736 e +

0.091 c + 0.280 d + 0.604 e +

-1.937 c + -3.486 d + -5.736 e +-1.986 c + -3.674 d + -6.179 e +

-1.916 c + -3.450 d + -5.676 e +

-1.986 c + -3.674 d + -6.179 e +

0.070 c + 0.225 d + 0.503 e +

1.285 d + 2.236 e + 3.565 f +0.592 d + 1.144 e + 1.963 f +

0.501 d + 0.872 e + 1.390 f +0.592 d + 1.144 e + 1.963 f +

-0.091 d -0.272 e + -0.573 f +

0.592 d + 1.144 e + 1.963 f +0.384 d + 0.789 e + 1.419 f +

0.353 d + 0.682 e + 1.170 f +0.384 d + 0.789 e + 1.419 f +

-0.031 d -0.107 e + -0.248 f +

0.384 d + 0.789 e + 1.419 f +0.280 d + 0.604 e + 1.127 f +

0.263 d + 0.540 e + 0.971 f +0.280 d + 0.604 e + 1.127 f +

-0.017 d -0.063 e + -0.155 f +

0.280 d + 0.604 e + 1.127 f +0.225 d + 0.503 e + 0.967 f +

0.214 d + 0.462 e + 0.862 f +0.225 d + 0.503 e + 0.967 f +

-0.010 d -0.041 e + -0.105 f +

-0.091 d 0.000 -0.272 e + -0.573 f +

-0.031 d 0.000 -0.107 e + -0.248 f +Maka :-0.031 d 0.000 -0.093 e + -0.196 f +-0.031 d 0.000 -0.107 e + -0.248 f +

0.014 e + 0.05183 f +

-0.031 d 0.000 -0.107 e + -0.248 f +-0.017 d 0.000 -0.063 e + -0.155 f +Maka :-0.017 d 0.000 -0.059 e + -0.137 f +-0.017 d 0.000 -0.063 e + -0.155 f +

0.004 e + 0.01785 f +


0.002 e + 0.01014 f +

Persamaan 23 dan 24:0.014 e + 0.052 f +0.004 e + 0.018 f +

Maka :0.004 e + 0.01584 f +0.004 e + 0.01785 f +

-0.0020155 f +

Persamaan 24 dan 25 :0.004 e + 0.018 f +0.002 e + 0.010 f +

Maka :0.002 e + 0.00959 f +0.002 e + 0.01014 f +

-0.0005497 f +

Persamaan 26 dan 27 :-0.0020155 f +-0.0005497 f +

Maka :-0.0005497 f +-0.0005497 f +

Dari Persamaan 27 :-0.0005497 f +-0.0005497 f +

Dari Persamaan 25 :0.002 e + 0.010 f +0.002 e + 12.070 +

Dari Persamaan 22 :-0.010 d + -0.041 e + -0.105 f +-0.010 d + 74.309 + -124.634 +

Dari Persamaan 18 :0.070 c + 0.225 d + 0.503 e +0.070 c + 240.998 + -912.591 +

Dari Persamaan 13 :-0.828 b + -1.986 c + -3.674 d +-0.828 b + 96.120 + -3938.705 +

Dari Persamaan 1 :16 a + 12 b + 12.4 c +16 a + -1650.921539367 + -600.193523386079 +

17.831 e + 22.992 f + 30.483 g22.992 e + 30.483 f + 41.242 g30.483 e + 41.242 f + 56.665 g41.242 e + 56.665 f + 78.801 g56.665 e + 78.801 f + 110.653 g78.801 e + 110.653 f + 156.622 g

110.653 e + 156.622 f + 223.160 g

17.8312 e + 22.992 f + 30.4829 g22.992 e + 30.483 f + 41.242 g

13.373 e + 17.244 f + 22.862 g22.992 e + 30.483 f + 41.242 g

-9.619 e + -13.239 f + -18.380 g

22.992 e + 30.483 f + 41.242 g

30.483 e + 41.242 f + 56.665 g

23.758 e + 31.499 f + 42.617 g

30.483 e + 41.242 f + 56.665 g

-6.725 e + -9.743 f + -14.048 g

30.483 e + 41.242 f + 56.665 g

41.242 e + 56.665 f + 78.801 g

35.400 e + 47.894 f + 65.804 g

41.242 e + 56.665 f + 78.801 g

-5.843 e + -8.771 f + -12.997 g

41.242 e + 56.665 f + 78.801 g56.665 e + 78.801 f + 110.653 g

51.069 e + 70.167 f + 97.577 g56.665 e + 78.801 f + 110.653 g

-5.596 e + -8.634 f + -13.076 g

56.665 e + 78.801 f + 110.653 g78.801 e + 110.653 f + 156.622 g

73.065 e + 101.608 f + 142.679 g

78.801 e + 110.653 f + 156.622 g

-5.736 e + -9.045 f + -13.943 g

78.801 e + 110.653 f + 156.622 g110.653 e + 156.622 f + 223.160 g

104.475 e + 146.705 f + 207.650 g110.653 e + 156.622 f + 223.160 g

-6.179 e + -9.917 f + -15.510 g

-13.239 f + -18.380 g = -69.303 *-9.743 f + -14.048 g = -38.612 *

-6.178 f + -8.577 g = -32.341-9.743 f + -14.048 g = -38.612

3.565 f + 5.471 g = 6.270 ---

-9.743 f + -14.048 g = -38.612 *-8.771 f + -12.997 g = -29.348 *

-6.808 f + -9.815 g = -26.978-8.771 f + -12.997 g = -29.348

1.963 f + 3.181 g = 2.370 ---

-8.771 f + -12.997 g = -29.348 *-8.634 f + -13.076 g = -25.495 *

-7.215 f + -10.692 g = -24.144-8.634 f + -13.076 g = -25.495

1.419 f + 2.384 g = 1.351 ---

-8.634 f + -13.076 g = -25.495 *-9.045 f + -13.943 g = -24.258 *

-7.919 f + -11.992 g = -23.383-9.045 f + -13.943 g = -24.258

1.127 f + 1.950 g = 0.876 ---

-9.045 f + -13.943 g = -24.258 *-9.917 f + -15.510 g = -24.635 *

-8.950 f + -13.796 g = -24.003

-9.917 f + -15.510 g = -24.635

0.967 f + 1.715 g = 0.631 ---

5.471 g = 6.270 * 0.3903.181 g = 2.370 * 1

2.134 g = 3.7383.181 g = 2.370 -

-1.048 g = 1.368 --- pers.19

3.181 g = 2.370 * 0.5962.384 g = 1.351 * 1

1.897 g = 1.6232.384 g = 1.351 -

-0.487 g = 0.271 --- pers.20

2.384 g = 1.351 * 0.6851.950 g = 0.876 * 1

1.632 g = 0.9251.950 g = 0.876 -

-0.318 g = 0.050 --- pers.21

1.950 g = 0.876 * 0.7651.715 g = 0.631 * 1

1.492 g = 0.6701.715 g = 0.631 -

-0.222 g = 0.039 --- pers.22

-1.048 g = 1.368 * 0.343

-0.487 g = 0.271 * 1

-0.359 g = 1.368-0.487 g = 0.271 -

0.128187 g = 1.097 --- pers.23

-0.487 g = 0.271 * 0.553-0.318 g = 0.050 * 1

-0.270 g = 0.271-0.318 g = 0.050 -

0.048238 g = 0.222 --- pers.24

-0.318 g = 0.050 * 0.610-0.222 g = 0.039 * 1

-0.194 g = 0.050-0.222 g = 0.039 -

0.028672 g = 0.011 --- pers.25

0.128 g = 1.097 * 0.3060.048 g = 0.222 * 1

0.039 g = 0.3350.048 g = 0.222 -

-0.009070 g = 0.114 --- pers.26

0.048 g = 0.222 * 0.5370.029 g = 0.011 * 1

0.026 g = 0.1190.029 g = 0.011 -

-0.002753 g = 0.108 --- pers.27

-0.0090698 g = 0.1136676 * 0.273-0.0027527 g = 0.1083037 * 1

-0.0024736 g = 0.031-0.0027527 g = 0.10830 -

0.000279 g = -0.077

g = -277.002

-0.0027527 g = 0.10830370.7624928 = 0.1083037

-0.0005497 f = -0.6541891f = 1190.112

0.029 g = 0.011-7.942 = 0.011

0.002 e = -4.117e = -1814.332

-0.222 g = 0.03961.603 = 0.039

-0.010 d = -11.239d = 1071.930191

0.967 f + 1.715 g = 0.6311150.520 + -474.928 = 0.631

0.070 c = -3.368c = -48.4027

-6.179 e + -9.917 f + -15.510 g11209.940 + -11802.274 + 4296.418

-0.828 bb

14.4 d + 17.8312 e + 22.992 f15435.7947435985 + -32351.7191853127 + 27363.043840007

dari perhitungan didapatkan :

a =b =c =d =e =f =g =


y=

= 192.080 * 0.75= 213.363 * 1

= 144.06h

= 213.36 -

= -69.303 --- pers.8 0.00

0.10

0.20

= 213.363 * 1.03333 0.30

= 259.087 * 1 0.40

0.50

= 220.475 0.60

= 259.087 - 0.70

= -38.612 --- pers.9 0.80

0.90

1.00

= 259.087 * 1.16129 1.10

= 330.223 * 1 1.20

1.30

= 300.875 1.40

= 330.223 - 1.50

= -29.348 --- pers.10 Kesalahan Relatif Maksimum

= 330.223 * 1.23828= 434.403 * 1

= 408.908= 434.403 -

= -25.495 --- pers.11

= 434.403 * 1.28943= 584.388 * 1

= 560.13

= 584.388 -

= -24.258 --- pers.12

= 584.388 * 1.32581= 799.420 * 1

= 774.785= 799.420 -

= -24.635 --- pers.13

0.46671

pers.14

0.69871

pers.15

0.82271

pers.16

0.91711

pers.17

0.98951

pers.18

= -24.635= -24.635= 113.866= -137.577

+ 30.4829 g = 192.080+ -8443.820848987 = 192.080

16 a = 439.897a = 27.4935


0.6022.864

19.931-27.72535.768

-19.8383.887


0.602 + 2.864 x + 19.931 + -27.725 + 35.768 + -19.838 +

Q dataQ model


0.59 0.60 2.03

1.08 1.06 1.54

1.86 1.80 3.15

2.65 2.75 3.80

3.82 3.89 1.85

5.39 5.23 3.02

6.76 6.78 0.31

8.62 8.57 0.53

10.49 10.62 1.27

12.94 12.93 0.07

15.48 15.49 0.06

18.42 18.27 0.81

21.17 21.24 0.34

24.30 24.36 0.24

27.64 27.58 0.22

30.87 30.88 0.02


x2 x3 x4 x5

0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.600.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00

f(x) = 3.88716890265 x⁶ − 19.8380566802 x⁵ + 35.7684203911 x⁴ − 27.7248055093 x³ + 19.9312161957 x² + 2.86442059617 x + 0.60172213622R² = 0.999932413257671


Lengkung Debit


3.887 x6

0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.600.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00

f(x) = 3.88716890265 x⁶ − 19.8380566802 x⁵ + 35.7684203911 x⁴ − 27.7248055093 x³ + 19.9312161957 x² + 2.86442059617 x + 0.60172213622R² = 0.999932413257671


Lengkung Debit


0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.600.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00

f(x) = 3.88716890265 x⁶ − 19.8380566802 x⁵ + 35.7684203911 x⁴ − 27.7248055093 x³ + 19.9312161957 x² + 2.86442059617 x + 0.60172213622R² = 0.999932413257671


Lengkung Debit


No Xi Yi

1 0.000 0.59 0.000 0.000 0.000 0.000 0.0002 0.100 1.08 0.010 0.001 0.000 0.000 0.0003 0.200 1.76 0.040 0.008 0.002 0.000 0.0004 0.300 2.65 0.090 0.027 0.008 0.002 0.0015 0.400 3.82 0.160 0.064 0.026 0.010 0.0046 0.500 5.39 0.250 0.125 0.063 0.031 0.0167 0.600 6.76 0.360 0.216 0.130 0.078 0.0478 0.700 8.62 0.490 0.343 0.240 0.168 0.1189 0.800 10.68 0.640 0.512 0.410 0.328 0.262

10 0.900 12.94 0.810 0.729 0.656 0.590 0.531

11 1.000 15.48 1.000 1.000 1.000 1.000 1.00012 1.100 18.23 1.210 1.331 1.464 1.611 1.77213 1.200 21.17 1.440 1.728 2.074 2.488 2.98614 1.300 24.30 1.690 2.197 2.856 3.713 4.82715 1.400 27.54 1.960 2.744 3.842 5.378 7.53016 1.500 30.87 2.250 3.375 5.063 7.594 11.391

Jumlah 12.000 191.880 12.400 14.400 17.831 22.992 30.483

Rerata 0.750 11.993 - - - - -


Q =

Q . h =

=

=

=

=

=

Xi2 Xi3 Xi4 Xi5 Xi6

a + b.h + c.h2 + d.h3 + e.h4 + f.h5 + g.h6

a.h + b.h2 + c.h3 + d.h4 + e.h5+ f.h6 + g.h7



Q . h4 a.h4 + b.h5 + c.h6 + d.h7 + e.h8+ f.h9 + g.h10



XiYi

0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0000.000 0.000 0.000 0.000 0.000 0.000 0.108 0.011 0.0010.000 0.000 0.000 0.000 0.000 0.000 0.352 0.070 0.0140.000 0.000 0.000 0.000 0.000 0.000 0.795 0.239 0.0720.002 0.001 0.000 0.000 0.000 0.000 1.528 0.611 0.2440.008 0.004 0.002 0.001 0.000 0.000 2.695 1.348 0.6740.028 0.017 0.010 0.006 0.004 0.002 4.056 2.434 1.4600.082 0.058 0.040 0.028 0.020 0.014 6.034 4.224 2.9570.210 0.168 0.134 0.107 0.086 0.069 8.544 6.835 5.468

0.478 0.430 0.387 0.349 0.314 0.282 11.646 10.481 9.433

1.000 1.000 1.000 1.000 1.000 1.000 15.480 15.480 15.4801.949 2.144 2.358 2.594 2.853 3.138 20.053 22.058 24.2643.583 4.300 5.160 6.192 7.430 8.916 25.404 30.485 36.5826.275 8.157 10.604 13.786 17.922 23.298 31.590 41.067 53.387

10.541 14.758 20.661 28.925 40.496 56.694 38.556 53.978 75.57017.086 25.629 38.443 57.665 86.498 129.746 46.305 69.458 104.186

41.242 56.665 78.801 110.653 156.622 223.160 213.146 258.778 329.792

- - - - - - - - -

Xi7 Xi8 Xi9 Xi10 Xi11 Xi12 Xi2*Yi Xi3*Yi

dari persamaan tersebut didapatkan :0.000 0.000 0.000 191.880 = 16 a +0.000 0.000 0.000 213.146 = 12.000 a +0.003 0.001 0.000 258.778 = 12.400 a +0.021 0.006 0.002 329.792 = 14.400 a +0.098 0.039 0.016 433.818 = 17.831 a +0.337 0.168 0.084 583.607 = 22.992 a +0.876 0.526 0.315 798.380 = 30.483 a +2.070 1.449 1.0144.375 3.500 2.800

8.490 7.641 6.877 Dengan metode eliminasi didapat :

15.480 15.480 15.480 Persamaan 1 dan 2 :26.691 29.360 32.296 16 a +43.898 52.678 63.213 12.000 a +69.403 90.224 117.291 maka :

105.798 148.117 207.363 12 a +156.279 234.419 351.629 12.000 a +

433.818 583.607 798.380

- - -

Persamaan 2 dan 3 :

12.000 a +

12.400 a +

maka :

12.400 a +

12.400 a +

Persamaan 3 dan 4 :

12.400 a +

14.400 a +

maka :

14.400 a +

14.400 a +

Persamaan 4 dan 5 :14.400 a +17.831 a +

maka :17.831 a +17.831 a +

Persamaan 5 dan 6 :17.831 a +22.992 a +

maka :22.992 a +

Xi4*Yi Xi5*Yi Xi6*Yi

22.992 a +

Persamaan 6 dan 7 :22.992 a +30.483 a +

maka :30.483 a +30.483 a +

Persamaan 8 dan 9 :-3.400 b +-1.587 b +

maka :-1.587 b +-1.587 b +

Persamaan 9 dan 10 :-1.587 b +-1.109 b +

maka :-1.109 b +-1.109 b +

Persamaan 10 dan 11 :-1.109 b +-0.912 b +

maka :-0.912 b +-0.912 b +

Persamaan 11 dan 12 :-0.912 b +-0.836 b +

maka :-0.836 b +-0.836 b +

Persamaan 12 dan 13:-0.836 b +-0.828 b +

maka :-0.828 b +

-0.828 b +

Persamaan 14 dan 15 :0.571 c +0.223 c +

Maka :0.223 c +0.223 c +

Persamaan 15 dan 16 :0.223 c +0.133 c +

Maka :0.133 c +0.133 c +

Persamaan 16 dan 17 :0.133 c +0.091 c +

Maka :0.091 c +0.091 c +

Persamaan 17 dan 18:0.091 c +0.070 c +

Maka :0.070 c +0.070 c +


Maka :


Maka :


Maka :

12.000 b + 12.400 c + 14.400 d +12.400 b + 14.400 c + 17.831 d +14.400 b + 17.831 c + 22.992 d +17.831 b + 22.992 c + 30.483 d +22.992 b + 30.483 c + 41.242 d +30.483 b + 41.242 c + 56.665 d +41.242 b + 56.665 c + 78.801 d +

12 b + 12.4 c + 14.4 d +12.400 b + 14.400 c + 17.831 d +

9.000 b + 9.300 c + 10.800 d +12.400 b + 14.400 c + 17.831 d +

-3.400 b + -5.100 c + -7.031 d +

12.400 b + 14.400 c + 17.831 d +

14.400 b + 17.831 c + 22.992 d +

12.813 b + 14.880 c + 18.426 d +

14.400 b + 17.831 c + 22.992 d +

-1.587 b + -2.951 c + -4.566 d +

14.400 b + 17.831 c + 22.992 d +

17.831 b + 22.992 c + 30.483 d +

16.723 b + 20.707 c + 26.700 d +

17.831 b + 22.992 c + 30.483 d +

-1.109 b + -2.285 c + -3.783 d +

17.831 b + 22.992 c + 30.483 d +22.992 b + 30.483 c + 41.242 d +

22.080 b + 28.470 c + 37.746 d +22.992 b + 30.483 c + 41.242 d +

-0.912 b + -2.012 c + -3.496 d +

22.992 b + 30.483 c + 41.242 d +30.483 b + 41.242 c + 56.665 d +

29.646 b + 39.305 c + 53.179 d +

30.483 b + 41.242 c + 56.665 d +

-0.836 b + -1.937 c + -3.486 d +

30.483 b + 41.242 c + 56.665 d +41.242 b + 56.665 c + 78.801 d +

40.414 b + 54.679 c + 75.127 d +41.242 b + 56.665 c + 78.801 d +

-0.828 b + -1.986 c + -3.674 d +

-5.100 c + -7.031 d + -9.619 e +-2.951 c + -4.566 d + -6.725 e +

-2.380 c + -3.281 d + -4.489 e +-2.951 c + -4.566 d + -6.725 e +

0.571 c + 1.285 d + 2.236 e +

-2.951 c + -4.566 d + -6.725 e +-2.285 c + -3.783 d + -5.843 e +

-2.062 c + -3.191 d + -4.698 e +-2.285 c + -3.783 d + -5.843 e +

0.223 c + 0.592 d + 1.144 e +

-2.285 c + -3.783 d + -5.843 e +-2.012 c + -3.496 d + -5.596 e +

-1.880 c + -3.112 d + -4.806 e +-2.012 c + -3.496 d + -5.596 e +

0.133 c + 0.384 d + 0.789 e +

-2.012 c + -3.496 d + -5.596 e +-1.937 c + -3.486 d + -5.736 e +

-1.846 c + -3.206 d + -5.132 e +-1.937 c + -3.486 d + -5.736 e +

0.091 c + 0.280 d + 0.604 e +

-1.937 c + -3.486 d + -5.736 e +-1.986 c + -3.674 d + -6.179 e +

-1.916 c + -3.450 d + -5.676 e +

-1.986 c + -3.674 d + -6.179 e +

0.070 c + 0.225 d + 0.503 e +

1.285 d + 2.236 e + 3.565 f +0.592 d + 1.144 e + 1.963 f +

0.501 d + 0.872 e + 1.390 f +0.592 d + 1.144 e + 1.963 f +

-0.091 d -0.272 e + -0.573 f +

0.592 d + 1.144 e + 1.963 f +0.384 d + 0.789 e + 1.419 f +

0.353 d + 0.682 e + 1.170 f +0.384 d + 0.789 e + 1.419 f +

-0.031 d -0.107 e + -0.248 f +

0.384 d + 0.789 e + 1.419 f +0.280 d + 0.604 e + 1.127 f +

0.263 d + 0.540 e + 0.971 f +0.280 d + 0.604 e + 1.127 f +

-0.017 d -0.063 e + -0.155 f +

0.280 d + 0.604 e + 1.127 f +0.225 d + 0.503 e + 0.967 f +

0.214 d + 0.462 e + 0.862 f +0.225 d + 0.503 e + 0.967 f +

-0.010 d -0.041 e + -0.105 f +

-0.091 d 0.000 -0.272 e + -0.573 f +

-0.031 d 0.000 -0.107 e + -0.248 f +Maka :-0.031 d 0.000 -0.093 e + -0.196 f +-0.031 d 0.000 -0.107 e + -0.248 f +

0.014 e + 0.05183 f +


0.004 e + 0.01785 f +


0.002 e + 0.01014 f +

Persamaan 23 dan 24:0.014 e + 0.052 f +0.004 e + 0.018 f +

Maka :0.004 e + 0.01584 f +0.004 e + 0.01785 f +

-0.0020155 f +

Persamaan 24 dan 25 :0.004 e + 0.018 f +0.002 e + 0.010 f +

Maka :0.002 e + 0.00959 f +0.002 e + 0.01014 f +

-0.0005497 f +

Persamaan 26 dan 27 :-0.0020155 f +-0.0005497 f +

Maka :-0.0005497 f +-0.0005497 f +

Dari Persamaan 27 :-0.0005497 f +-0.0005497 f +

Dari Persamaan 25 :0.002 e + 0.010 f +0.002 e + 12.061 +

Dari Persamaan 22 :-0.010 d + -0.041 e + -0.105 f +-0.010 d + 74.029 + -124.544 +

Dari Persamaan 18 :0.070 c + 0.225 d + 0.503 e +0.070 c + 238.948 + -909.153 +

Dari Persamaan 13 :-0.828 b + -1.986 c + -3.674 d +-0.828 b + 92.580 + -3905.192 +

Dari Persamaan 1 :16 a + 12 b + 12.4 c +16 a + -1618.966542029 + -578.087903269212 +

17.831 e + 22.992 f + 30.483 g22.992 e + 30.483 f + 41.242 g30.483 e + 41.242 f + 56.665 g41.242 e + 56.665 f + 78.801 g56.665 e + 78.801 f + 110.653 g78.801 e + 110.653 f + 156.622 g

110.653 e + 156.622 f + 223.160 g

17.8312 e + 22.992 f + 30.4829 g22.992 e + 30.483 f + 41.242 g

13.373 e + 17.244 f + 22.862 g22.992 e + 30.483 f + 41.242 g

-9.619 e + -13.239 f + -18.380 g

22.992 e + 30.483 f + 41.242 g

30.483 e + 41.242 f + 56.665 g

23.758 e + 31.499 f + 42.617 g

30.483 e + 41.242 f + 56.665 g

-6.725 e + -9.743 f + -14.048 g

30.483 e + 41.242 f + 56.665 g

41.242 e + 56.665 f + 78.801 g

35.400 e + 47.894 f + 65.804 g

41.242 e + 56.665 f + 78.801 g

-5.843 e + -8.771 f + -12.997 g

41.242 e + 56.665 f + 78.801 g56.665 e + 78.801 f + 110.653 g

51.069 e + 70.167 f + 97.577 g56.665 e + 78.801 f + 110.653 g

-5.596 e + -8.634 f + -13.076 g

56.665 e + 78.801 f + 110.653 g78.801 e + 110.653 f + 156.622 g

73.065 e + 101.608 f + 142.679 g

78.801 e + 110.653 f + 156.622 g

-5.736 e + -9.045 f + -13.943 g

78.801 e + 110.653 f + 156.622 g110.653 e + 156.622 f + 223.160 g

104.475 e + 146.705 f + 207.650 g110.653 e + 156.622 f + 223.160 g

-6.179 e + -9.917 f + -15.510 g

-13.239 f + -18.380 g = -69.236 *-9.743 f + -14.048 g = -38.528 *

-6.178 f + -8.577 g = -32.310-9.743 f + -14.048 g = -38.528

3.565 f + 5.471 g = 6.217 ---

-9.743 f + -14.048 g = -38.528 *-8.771 f + -12.997 g = -29.275 *

-6.808 f + -9.815 g = -26.920-8.771 f + -12.997 g = -29.275

1.963 f + 3.181 g = 2.356 ---

-8.771 f + -12.997 g = -29.275 *-8.634 f + -13.076 g = -25.444 *

-7.215 f + -10.692 g = -24.084-8.634 f + -13.076 g = -25.444

1.419 f + 2.384 g = 1.360 ---

-8.634 f + -13.076 g = -25.444 *-9.045 f + -13.943 g = -24.231 *

-7.919 f + -11.992 g = -23.336-9.045 f + -13.943 g = -24.231

1.127 f + 1.950 g = 0.895 ---

-9.045 f + -13.943 g = -24.231 *-9.917 f + -15.510 g = -24.631 *

-8.950 f + -13.796 g = -23.976

-9.917 f + -15.510 g = -24.631

0.967 f + 1.715 g = 0.655 ---

5.471 g = 6.217 * 0.3903.181 g = 2.356 * 1

2.134 g = 3.7073.181 g = 2.356 -

-1.048 g = 1.351 --- pers.19

3.181 g = 2.356 * 0.5962.384 g = 1.360 * 1

1.897 g = 1.6132.384 g = 1.360 -

-0.487 g = 0.253 --- pers.20

2.384 g = 1.360 * 0.6851.950 g = 0.895 * 1

1.632 g = 0.9311.950 g = 0.895 -

-0.318 g = 0.036 --- pers.21

1.950 g = 0.895 * 0.7651.715 g = 0.655 * 1

1.492 g = 0.6851.715 g = 0.655 -

-0.222 g = 0.030 --- pers.22

-1.048 g = 1.351 * 0.343

-0.487 g = 0.253 * 1

-0.359 g = 1.351-0.487 g = 0.253 -

0.128187 g = 1.098 --- pers.23

-0.487 g = 0.253 * 0.553-0.318 g = 0.036 * 1

-0.270 g = 0.253-0.318 g = 0.036 -

0.048238 g = 0.217 --- pers.24

-0.318 g = 0.036 * 0.610-0.222 g = 0.030 * 1

-0.194 g = 0.036-0.222 g = 0.030 -

0.028672 g = 0.007 --- pers.25

0.128 g = 1.098 * 0.3060.048 g = 0.217 * 1

0.039 g = 0.3360.048 g = 0.217 -

-0.009070 g = 0.119 --- pers.26

0.048 g = 0.217 * 0.5370.029 g = 0.007 * 1

0.026 g = 0.1160.029 g = 0.007 -

-0.002753 g = 0.110 --- pers.27

-0.0090698 g = 0.1188710 * 0.273-0.0027527 g = 0.1098296 * 1

-0.0024736 g = 0.032-0.0027527 g = 0.10983 -

0.000279 g = -0.077

g = -277.384

-0.0027527 g = 0.10982960.7635462 = 0.1098296

-0.0005497 f = -0.6537166f = 1189.252

0.029 g = 0.007-7.953 = 0.007

0.002 e = -4.101e = -1807.498

-0.222 g = 0.03061.688 = 0.030

-0.010 d = -11.143d = 1062.809364

0.967 f + 1.715 g = 0.6551149.689 + -475.584 = 0.655

0.070 c = -3.244c = -46.62

-6.179 e + -9.917 f + -15.510 g11167.714 + -11793.749 + 4302.353

-0.828 bb

14.4 d + 17.8312 e + 22.992 f15304.4548473952 + -32229.853852328 + 27343.278066612


a =b =c =d =e =f =g =


y== 191.880 * 0.75= 213.146 * 1

= 143.91= 213.15 -

h= -69.236 --- pers.8

0.00

0.10

= 213.146 * 1.03333 0.20

= 258.778 * 1 0.30

0.40

= 220.251 0.50

= 258.778 - 0.60

= -38.528 --- pers.9 0.70

0.80

0.90

= 258.778 * 1.16129 1.00

= 329.792 * 1 1.10

1.20

= 300.517 1.30

= 329.792 - 1.40

= -29.275 --- pers.10 1.50


= 329.792 * 1.23828= 433.818 * 1

= 408.374= 433.818 -

= -25.444 --- pers.11

= 433.818 * 1.28943= 583.607 * 1

= 559.376

= 583.607 -

= -24.231 --- pers.12

= 583.607 * 1.32581= 798.380 * 1

= 773.749= 798.380 -

= -24.631 --- pers.13

0.46671

pers.14

0.69871

pers.15

0.82271

pers.16

0.91711

pers.17

0.98951

pers.18

= -24.631= -24.631= 111.662= -134.914

+ 30.4829 g = 191.880+ -8455.485533273 = 191.880

16 a = 426.541a = 26.6588


0.6042.853

16.694-13.03513.166-5.4530.624


0.604 + 2.853 x + 16.694 + -13.035 + 13.166 + -5.453 +

Q dataQ model


0.59 0.60 2.37

1.08 1.04 3.29

1.76 1.76 0.15

2.65 2.70 2.05

3.82 3.87 1.20

5.39 5.24 2.84

6.76 6.82 0.91

8.62 8.63 0.10

10.68 10.67 0.13

12.94 12.94 0.01

15.48 15.45 0.17

18.23 18.19 0.21

21.17 21.14 0.15

24.30 24.26 0.18

27.54 27.50 0.15

30.87 30.80 0.21


x2 x3 x4 x5

0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.600.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00

f(x) = 0.623495012 x⁶ − 5.4531833 x⁵ + 13.1661639 x⁴ − 13.0148795 x³ + 16.6942762 x² + 2.85289285 x + 0.6034791R² = 0.999976631894123


Lengkung Debit


0.624 x6

0.00 0.20 0.40 0.60 0.80 1.00 1.20 1.40 1.600.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00

f(x) = 0.623495012 x⁶ − 5.4531833 x⁵ + 13.1661639 x⁴ − 13.0148795 x³ + 16.6942762 x² + 2.85289285 x + 0.6034791R² = 0.999976631894123


Lengkung Debit


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