27
menghitung luas DAS stasiun 10 stasiun 11 stasiun 12 0.95 130 0.96 120 0.84 121 0.7 20.39 0.52 23.5 0.2 28.18 0.41 150.39 0.94 143.5 0.35 149.18 0.83 0.45 0.55 443.07 0.59 0.89 0.72 0.25 0.36 0.85 0.96 0.8 0.2 0.52 0.27 0.39 0.65 0.73 0.55 0.47 0.32 0.73 0.29 0.77 0.9 0.81 0.39 0.24 0.35 0.57 0.19 0.98 0.8 0.7 0.5 0.9 0.7 0.5 0.8 0.7 0.34 0.77 0.67 0.85 0.59 0.55 0.76 0.36 0.37 0.25 0.14 0.97 0.61 0.97 0.7 0.77 0.7 0.71 0.85 0.8 0.96 0.91 0.58 0.46 0.89 0.63 0.77 0.73 0.3 0.98 0.34 0.8 0.18 0.9 0.12 0.45 0.64 0.4 0.49 0.09 0.25 0.6 0.51 0.57 0.7 0.87 0.85 0.8 0.32 0.18 0.8 0.35 0.8 0.5 0.8 0.67 0.7 0.16 0.7 0.34 0.92 0.52 0.63 0.65 0.36 0.83 0.99 0.78 0.49 0.2 ƩDAS

Perhitungan Tugas

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Page 1: Perhitungan Tugas

menghitung luas DASTahun

stasiun 10 stasiun 11 stasiun 120.95 130 0.96 120 0.84 121 1983

0.7 20.39 0.52 23.5 0.2 28.180.41 150.39 0.94 143.5 0.35 149.180.83 0.45 0.55 443.07 19840.59 0.89 0.720.25 0.36 0.850.96 0.8 0.2 19850.52 0.27 0.390.65 0.73 0.550.47 0.32 0.73 19860.29 0.77 0.90.81 0.39 0.240.35 0.57 0.19 19870.98 0.8 0.7

0.5 0.9 0.70.5 0.8 0.7 1988

0.34 0.77 0.670.85 0.59 0.550.76 0.36 0.37 19890.25 0.14 0.970.61 0.97 0.70.77 0.7 0.71 19900.85 0.8 0.960.91 0.58 0.460.89 0.63 0.77 19910.73 0.3 0.980.34 0.8 0.18

0.9 0.12 0.45 19920.64 0.4 0.490.09 0.25 0.60.51 0.57 0.7 19930.87 0.85 0.80.32 0.18 0.8

0.35 0.8 19940.5 0.8

0.67 0.70.16 0.7 19950.34 0.920.52 0.630.65 0.36 19960.83 0.99

0.780.49 1997

0.2

ƩDAS

Page 2: Perhitungan Tugas

0.841998

1999

2000

Page 3: Perhitungan Tugas

TanggalStasiun Luas

Tahun10 11 12 DAS

5-Nov-83 3214.586 589.261 37.6 34.341 200111-Nov-83 2371.337 55.9425 35.9 21.91314-Oct-83 293.2605 4799.867 37.3 45.98022-Sep-84 4271.076 44.754 110.8 38.963 200218-Jan-84 1804.68 2941.75 2506.224 65.476

11-Mar-84 15.039 767.725 4702.9 49.52430-May-85 4699.688 652.6625 48.321 200311-Mar-85 82.7145 4645.813 44.754 43.09321-Feb-85 2910.047 634.9875 4341.138 71.1966-Mar-86 4342.511 71.75 78.3195 40.559 200425-Jan-86 4120.686 2547.125 2077.332 78.9507-Nov-86 2797.125 25.252

18-Nov-87 3609.36 111.885 33.595 200517-Jan-87 1090.327 2726.5 634.015 40.18220-Dec-87 375.975 1004.5 3841.385 47.143

4-Jan-88 3759.75 33.943 200612-Feb-88 2331.875 1305.325 32.836

10-May-88 7820.28 2498.765 93.1601-Dec-89 4737.285 627.8125 1383.645 60.927 20072-Feb-89 2238.6 20.210

30-Aug-89 3543.025 31.98629-Jul-90 3759.75 33.943

13-Mar-90 2977.625 1182.252 37.5553-Apr-90 89.6875 3483.353 32.257

19-Dec-91 4210.92 17.9375 738.441 44.8445-Feb-91 2199.454 6260.188 3207.37 105.329

15-Nov-91 1439.984 4438.105 53.0671-Oct-92 6019.36 35.875 3114.133 82.780

22-Nov-92 1127.925 1739.938 3364.009 56.2613-Oct-92 3684.555 150.675 6847.362 96.442

26-Dec-93 7436.786 5000.975 7388.14 178.98726-Dec-93 7436.786 5000.975 7389.13 178.99626-Dec-93 7436.786 5000.975 7389.13 178.996

9-Jan-94 3895.101 75.3375 1182.252 46.51812-Mar-94 421.092 2661.925 831.6785 35.34220-Feb-94 1767.082 118.3875 3740.689 50.793

9-Oct-95 3139.391 104.0375 384.1385 32.74913-Nov-95 154.1497 3594.675 1282.948 45.42628-Mar-95 751.95 591.9375 3005.977 39.270

6-Dec-95 3812.387 86.1 469.917 39.4381-Mar-96 2550.712 1171.063 33.60024-Jan-96 86.47425 4102.45 37.817

11-Nov-97 2658.143 238.688 26.15215-Feb-97 1594.134 2163.263 33.921

Poligon Tiessen

Page 4: Perhitungan Tugas

11-May-97 2036.307 18.38431-Oct-98 1755.803 218.8375 346.8435 20.95827-Sep-98 4053.875 447.54 40.63823-Jun-98 3587.779 32.3902-Nov-99 8628.626 516.6 350.573 85.727

25-Mar-99 432.3713 4025.175 305.819 43.00324-Jan-99 1597.894 1948.012 4094.991 68.981

23-Nov-00 4883.915 871.7625 126.803 53.10718-Nov-00 1560.296 5090.663 1995.283 78.05822-Mar-00 60.156 200.9 2931.387 28.821

Page 5: Perhitungan Tugas

TanggalStasiun Luas Tahun rata2

10 11 12 DAS 1983 45.98022-Oct-01 5139.578 37.5975 46.400 1984 65.4761-Dec-01 3228.75 1402.292 35.875 41.809 1985 71.196

11-Mar-01 3082.995 2890.363 37.295 53.927 1986 78.95024-Jan-02 2383.681 1417.063 712.3345 110.7675 40.744 1987 47.1435-Feb-02 642.9173 3049.375 305.819 36.095 1988 93.1605-Dec-02 1071.529 3576.591 41.963 1989 60.927

29-Sep-03 2767.176 24.982 1990 37.5557-Jan-03 22.5585 5488.875 1331.432 61.777 1991 105.329

17-Nov-03 71.75 2498.765 23.206 1992 96.44211-Jan-04 2688.221 143.5 290.901 28.191 1993 178.996

29-May-04 601.56 3408.125 656.392 42.125 1994 50.79329-Oct-04 360.936 3281.96 32.888 1995 45.42610-Oct-05 3255.943 936.1045 37.845 1996 39.4384-Dec-05 680.5147 2260.125 447.54 30.588 1997 33.921

11-Oct-05 1345.99 14.35 4643.228 54.200 1998 40.6385-Jan-06 2237.051 502.25 1275.489 36.245 1999 85.727

31-Mar-06 221.8252 2701.388 988.3175 35.313 2000 78.05816-Dec-06 15.039 100.45 2260.077 21.446 2001 53.927

9-Dec-07 2793.494 222.425 313.278 30.056 2002 41.96326-Dec-07 2128.018 2887.938 1182.252 55.957 2003 61.77725-Dec-07 1838.518 1065.488 3296.878 55.981 2004 42.125

2005 54.2002006 36.2452007 55.981

Poligon Tiessen

Page 6: Perhitungan Tugas

STASIUN 10

No Tahun Yi Yi-Yr Sk* Dy2 Sk** |Sk**|1 1983 1397.40 -664.056 -664.056 17638.794 -1.170 1.1702 1984 2861.70 800.244 136.189 25615.644 0.240 0.2403 1985 2761.90 700.444 836.633 19624.894 1.474 1.4744 1986 2892.10 830.644 1667.278 27598.805 2.937 2.9375 1987 2014.10 -47.356 1619.922 89.702 2.853 2.8536 1988 1953.00 -108.456 1511.466 470.505 2.662 2.6627 1989 3328.00 1266.544 2778.011 64165.389 4.893 4.8938 1990 1848.00 -213.456 2564.555 1822.532 4.517 4.5179 1991 1742.10 -319.356 2245.200 4079.520 3.955 3.955

10 1992 2149.60 88.144 2333.344 310.777 4.110 4.11011 1993 2164.20 102.744 2436.088 422.256 4.291 4.29112 1994 1795.50 -265.956 2170.133 2829.295 3.823 3.82313 1995 1973.30 -88.156 2081.977 310.856 3.667 3.66714 1996 2222.40 160.944 2242.922 1036.124 3.951 3.95115 1997 1415.20 -646.256 1596.666 16705.852 2.812 2.81216 1998 909.60 -1151.856 444.810 53070.853 0.784 0.78417 1999 2592.90 531.444 976.255 11297.326 1.720 1.72018 2000 2061.90 0.444 976.699 0.008 1.720 1.72019 2001 2335.80 274.344 1251.044 3010.594 2.204 2.20420 2002 1089.10 -972.356 278.688 37819.017 0.491 0.49121 2003 1474.50 -586.956 -308.268 13780.675 -0.543 0.54322 2004 1924.40 -137.056 -445.323 751.369 -0.784 0.78423 2005 2667.90 606.444 161.121 14710.992 0.284 0.28424 2006 1740.70 -320.756 -159.634 4115.366 -0.281 0.28125 2007 2221.09 159.634 0.000 1019.326 0.000 0.000

Jumlah 51536.39 322296.472Dy 567.712Yr 2061.456

Maksimum 4.893Minimum -1.170

Q 4.893

Pengujian konsistensi data : Nilai Q√n dan R√n menggunakan tingkat kepercayaan 95% & n=25Menggunakan interpolasi

N20+((N30-N20)/(30-20))*(25-20) = 1,22+((1,24-1,22)/(30-20))*(25-20) = 1.230

N20+((N30-N20)/(30-20))*(25-20) = 1,43+((1,50-1,43)/(30-20))*(25-20) = 1.465

5.000Q = Maks. |Sk**| 4.893

0.979Q/√n hitung < Q/√n tabel 0,979 < 1,23 panggahR = Maks. Sk** - Min. Sk** 6.063

1.213R/√n hitung < R/√n tabel 1,213 < 1,465 panggahkarena panggah maka dapat dilanjutkan keperhitungan selanjutnya

Q/√n =

R/√n =

√n

Q/√n

R/√n

Page 7: Perhitungan Tugas

STASIUN 11

No Tahun Yi Yi-Yr Sk* Dy2 Sk** |Sk**|1 1983 411.80 -855.412 -855.412 29269.188 -2.464 2.4642 1984 1719.70 452.488 -402.924 8189.816 -1.161 1.1613 1985 1421.90 154.688 -248.236 957.135 -0.715 0.7154 1986 1559.70 292.488 44.252 3421.969 0.127 0.1275 1987 1405.60 138.388 182.640 766.050 0.526 0.5266 1988 1141.40 -125.812 56.828 633.146 0.164 0.1647 1989 1694.80 427.588 484.416 7313.260 1.396 1.3968 1990 1089.80 -177.412 307.004 1259.001 0.884 0.8849 1991 1807.40 540.188 847.192 11672.123 2.441 2.441

10 1992 1063.00 -204.212 642.980 1668.102 1.852 1.85211 1993 1109.30 -157.912 485.068 997.448 1.397 1.39712 1994 824.60 -442.612 42.456 7836.215 0.122 0.12213 1995 1566.30 299.088 341.544 3578.145 0.984 0.98414 1996 967.10 -300.112 41.432 3602.689 0.119 0.11915 1997 893.10 -374.112 -332.680 5598.392 -0.958 0.95816 1998 1156.40 -110.812 -443.492 491.172 -1.278 1.27817 1999 1721.50 454.288 10.796 8255.103 0.031 0.03118 2000 1444.40 177.188 187.984 1255.823 0.542 0.54219 2001 1228.30 -38.912 149.072 60.566 0.429 0.42920 2002 1450.00 182.788 331.860 1336.458 0.956 0.95621 2003 1701.00 433.788 765.648 7526.881 2.206 2.20622 2004 1291.60 24.388 790.036 23.791 2.276 2.27623 2005 1326.00 58.788 848.824 138.241 2.445 2.44524 2006 789.30 -477.912 370.912 9135.995 1.069 1.06925 2007 896.30 -370.912 0.000 5503.028 0.000 0.000

Jumlah 31680.30 120489.737Dy 347.116Yr 1267.212

Maksimum 2.445Minimum -2.464

Q 2.464

Pengujian konsistensi data : Nilai Q√n dan R√n menggunakan tingkat kepercayaan 95% & n=25Menggunakan interpolasi

N20+((N30-N20)/(30-20))*(25-20) = 1,22+((1,24-1,22)/(30-20))*(25-20) = 1.230

N20+((N30-N20)/(30-20))*(25-20) = 1,43+((1,50-1,43)/(30-20))*(25-20) = 1.465

5.000Q = Maks. |Sk**| 2.464

0.493Q/√n hitung < Q/√n tabel 0,493 < 1,23 panggahR = Maks. Sk** - Min. Sk** 4.910

0.982R/√n hitung < R/√n tabel 0,982 < 1,465 panggahkarena panggah maka dapat dilanjutkan keperhitungan selanjutnya

Q/√n =

R/√n =

√n

Q/√n

R/√n

Page 8: Perhitungan Tugas

STASIUN 12

No Tahun Yi Yi-Yr Sk* Dy2 Sk** |Sk**|1 1983 1653.20 -741.848 -741.848 22013.538 -1.360 1.3602 1984 2733.30 338.252 -403.596 4576.577 -0.740 0.7403 1985 2360.30 -34.748 -438.344 48.297 -0.804 0.8044 1986 2981.90 586.852 148.508 13775.811 0.272 0.2725 1987 2588.90 193.852 342.360 1503.144 0.628 0.6286 1988 1889.20 -505.848 -163.488 10235.288 -0.300 0.3007 1989 3102.40 707.352 543.864 20013.874 0.997 0.9978 1990 2768.30 373.252 917.116 5572.682 1.682 1.6829 1991 2358.10 -36.948 880.168 54.606 1.614 1.614

10 1992 3317.90 922.852 1803.020 34066.233 3.307 3.30711 1993 2739.90 344.852 2147.872 4756.916 3.939 3.93912 1994 2498.00 102.952 2250.824 423.965 4.128 4.12813 1995 2826.70 431.652 2682.476 7452.938 4.919 4.91914 1996 3074.30 679.252 3361.728 18455.331 6.165 6.16515 1997 1286.60 -1108.448 2253.280 49146.279 4.132 4.13216 1998 1710.40 -684.648 1568.632 18749.715 2.877 2.87717 1999 2206.80 -188.248 1380.384 1417.492 2.531 2.53118 2000 2032.50 -362.548 1017.836 5257.642 1.867 1.86719 2001 1846.30 -548.748 469.088 12044.975 0.860 0.86020 2002 1557.80 -837.248 -368.160 28039.369 -0.675 0.67521 2003 2997.30 602.252 234.092 14508.299 0.429 0.42922 2004 2597.30 202.252 436.344 1636.235 0.800 0.80023 2005 2827.30 432.252 868.596 7473.672 1.593 1.59324 2006 1847.20 -547.848 320.748 12005.497 0.588 0.58825 2007 2074.30 -320.748 0.000 4115.171 0.000 0.000Jumlah 59876.20 297343.545

Dy 545.292Yr 2395.048

Maksimum 6.165Minimum -1.360

Q 6.165

Pengujian konsistensi data : Nilai Q√n dan R√n menggunakan tingkat kepercayaan 95% & n=25Menggunakan interpolasi

N20+((N30-N20)/(30-20))*(25-20) = 1,22+((1,24-1,22)/(30-20))*(25-20) = 1.230

N20+((N30-N20)/(30-20))*(25-20) = 1,43+((1,50-1,43)/(30-20))*(25-20) = 1.465

5.000Q = Maks. |Sk**| 6.165

1.233Q/√n hitung < Q/√n tabel 1,233 < 1,23 panggahR = Maks. Sk** - Min. Sk** 7.525

1.505R/√n hitung < R/√n tabel 1,505 < 1,465 panggahkarena panggah maka dapat dilanjutkan keperhitungan selanjutnya

Q/√n =

R/√n =

√n

Q/√n

R/√n

Page 9: Perhitungan Tugas

Metode GrafisTahun rata21983 33.921

NOTr (%)

1984 36.245 WEIBULL HAZEN1985 37.555 1 33.921 3.846 21986 39.438 2 36.245 7.692 61987 40.638 3 37.555 11.538 101988 41.963 4 39.438 15.385 141989 42.125 5 40.638 19.231 181990 45.426 6 41.963 23.077 221991 45.980 7 42.125 26.923 261992 47.143 8 45.426 30.769 301993 50.793 9 45.980 34.615 341994 53.927 10 47.143 38.462 381995 54.200 11 50.793 42.308 421996 55.981 12 53.927 46.154 461997 60.927 13 54.200 50.000 501998 61.777 14 55.981 53.846 541999 65.476 15 60.927 57.692 582000 71.196 16 61.777 61.538 622001 78.058 17 65.476 65.385 662002 78.950 18 71.196 69.231 702003 85.727 19 78.058 73.077 742004 93.160 20 78.950 76.923 782005 96.442 21 85.727 80.769 822006 105.329 22 93.160 84.615 862007 178.996 23 96.442 88.462 90

24 105.329 92.308 9425 178.996 96.154 98

CURAH HUJAN RATA-RATA

Page 10: Perhitungan Tugas

Metode AnalisisTabel analisis Pemilihan Agihan

Tr (%) No Xi Xi - XrGRINGGORTEN BLOOM CUNNANE 1 33.921 -30.133

2.229 2.475 2.381 2 36.245 -27.8106.210 6.436 6.349 3 37.555 -26.500

10.191 10.396 10.317 4 39.438 -24.61714.172 14.356 14.286 5 40.638 -23.41618.153 18.317 18.254 6 41.963 -22.09222.134 22.277 22.222 7 42.125 -21.93026.115 26.238 26.190 8 45.426 -18.62830.096 30.198 30.159 9 45.980 -18.07534.076 34.158 34.127 10 47.143 -16.91238.057 38.119 38.095 11 50.793 -13.26242.038 42.079 42.063 12 53.927 -10.12846.019 46.040 46.032 13 54.200 -9.85550.000 50.000 50.000 14 55.981 -8.07453.981 53.960 53.968 15 60.927 -3.12857.962 57.921 57.937 16 61.777 -2.27861.943 61.881 61.905 17 65.476 1.42165.924 65.842 65.873 18 71.196 7.14169.904 69.802 69.841 19 78.058 14.00373.885 73.762 73.810 20 78.950 14.89677.866 77.723 77.778 21 85.727 21.67281.847 81.683 81.746 22 93.160 29.10585.828 85.644 85.714 23 96.442 32.38789.809 89.604 89.683 24 105.329 41.27493.790 93.564 93.651 25 178.996 114.94197.771 97.525 97.619 Jumlah 1601.372 0.000

Rata-rata 64.055

Page 11: Perhitungan Tugas

weibull( Xi -Xr )^2 ( Xi - Xr)^3 ( Xi - Xr )^4 No TR

908.022 -27361.796 824504.081 1 3.846773.378 -21507.391 598113.540 2 7.692702.242 -18609.304 493143.732 3 11.538606.011 -14918.335 367248.872 4 15.385548.331 -12839.971 300666.750 5 19.231488.058 -10782.190 238200.487 6 23.077480.921 -10546.554 231284.995 7 26.923347.019 -6464.418 120422.011 8 30.769326.689 -5904.751 106725.653 9 34.615286.027 -4837.396 81811.719 10 38.462175.891 -2332.726 30937.480 11 42.308102.574 -1038.859 10521.451 12 46.154

97.124 -957.172 9433.070 13 50.00065.186 -526.302 4249.256 14 53.846

9.783 -30.599 95.707 15 57.6925.189 -11.822 26.931 16 61.5382.021 2.872 4.083 17 65.385

50.992 364.124 2600.151 18 69.231196.075 2745.581 38445.524 19 73.077221.878 3304.994 49229.737 20 76.923469.694 10179.415 220612.651 21 80.769847.079 24653.924 717543.219 22 84.615

1048.898 33970.351 1100187.498 23 88.4621703.539 70311.809 2902046.481 24 92.308

13211.361 1518522.814 174540049.446 25 96.154

23673.982 1525386.297 182988104.525 ∑ 1250.000

Rumus Umumdimanay =c =

m =

=

=

c = =

=

Page 12: Perhitungan Tugas

Jadi dari perhitungan diatas didapatkan persamaan garis lurus yaitu :y = 0.9363 x + 17.2404untuk x = 3.86 maka ; y = (0.9363 x 3.86) + 17.2404

untuk x = 96.154 maka ; y = (0.9363 x 96.154) + 17.2404

Page 13: Perhitungan Tugas

hazenCurah Hujan X2 Y2 X.Y No TR

33.921 14.793 1150.666 130.4672 1 2.00036.245 59.172 1313.715 278.8092 2 6.00037.555 133.136 1410.380 433.3272 3 10.00039.438 236.686 1555.324 606.7322 4 14.00040.638 369.822 1651.480 781.5079 5 18.00041.963 532.544 1760.880 968.3733 6 22.00042.125 724.852 1774.513 1134.134 7 26.00045.426 946.746 2063.561 1397.736 8 30.00045.980 1198.225 2114.191 1591.627 9 34.00047.143 1479.290 2222.418 1813.174 10 38.00050.793 1789.941 2579.878 2148.914 11 42.00053.927 2130.178 2908.120 2488.938 12 46.00054.200 2500.000 2937.610 2709.986 13 50.00055.981 2899.408 3133.880 3014.365 14 54.00060.927 3328.402 3712.111 3515.025 15 58.00061.777 3786.982 3816.377 3801.651 16 62.00065.476 4275.148 4287.155 4281.147 17 66.00071.196 4792.899 5068.831 4928.935 18 70.00078.058 5340.237 6092.983 5704.207 19 74.00078.950 5917.160 6233.171 6073.111 20 78.00085.727 6523.669 7349.171 6924.128 21 82.00093.160 7159.763 8678.693 7882.727 22 86.00096.442 7825.444 9300.977 8531.37 23 90.000

105.329 8520.710 11094.163 9722.661 24 94.000178.996 9245.562 32039.410 17211.11 25 98.000

1601.372 81730.769 126249.658 98074.16 ∑ 1250.000

Rumus Umum y = mx + c Rumus Umum: dimanaPeubah Tak Bebas x = Peubah Bebas y =Konstanta m = Kemiringan c =

m =

(25 x 98074.2) - (1250 x 1601.372) =

0.9362896549078 =

Yr - MXr c =_ m ∑x =

n n17.2403924662017 =

n ∑ xy - (∑ x) (∑y)

n ∑ x2 - (∑ x)2

(25 x 81730.769) - (1250)2

∑y

Page 14: Perhitungan Tugas

Jadi dari perhitungan diatas didapatkan persamaan garis lurus yaitu : Jadi dari perhitungan diatas didapatkan persamaan garis lurus yaitu :y = 0.9363 x + 17.2404 y = 0.9003 x + 19.0409untuk x = 3.86 maka ; y = (0.9363 x 3.86) + 17.2404 untuk x = 2 maka ; y = (0.9003 x 2) + 19.0409

= 20.8415065235 20.85452

untuk x = 96.154 maka ; y = (0.9363 x 96.154) + 17.2404 untuk x = 98 maka ; y = (0.9003 x 98) + 17.2404 = 107.2682439 107.2694

Page 15: Perhitungan Tugas

GringortenCurah Hujan X2 Y2 X.Y No TR

33.921 4.000 1150.666 67.843 1 2.22936.245 36.000 1313.715 217.471 2 6.21037.555 100.000 1410.380 375.550 3 10.19139.438 196.000 1555.324 552.126 4 14.17240.638 324.000 1651.480 731.491 5 18.15341.963 484.000 1760.880 923.183 6 22.13442.125 676.000 1774.513 1095.249 7 26.11545.426 900.000 2063.561 1362.793 8 30.09645.980 1156.000 2114.191 1563.331 9 34.07647.143 1444.000 2222.418 1791.416 10 38.05750.793 1764.000 2579.878 2133.285 11 42.03853.927 2116.000 2908.120 2480.641 12 46.01954.200 2500.000 2937.610 2709.986 13 50.00055.981 2916.000 3133.880 3022.978 14 53.98160.927 3364.000 3712.111 3533.772 15 57.96261.777 3844.000 3816.377 3830.163 16 61.94365.476 4356.000 4287.155 4321.441 17 65.92471.196 4900.000 5068.831 4983.700 18 69.90478.058 5476.000 6092.983 5776.260 19 73.88578.950 6084.000 6233.171 6158.134 20 77.86685.727 6724.000 7349.171 7029.639 21 81.84793.160 7396.000 8678.693 8011.717 22 85.82896.442 8100.000 9300.977 8679.742 23 89.809

105.329 8836.000 11094.163 9900.910 24 93.790178.996 9604.000 32039.410 17541.565 25 97.771

1601.372 83300.000 126249.658 98794.387 ∑ 1250.000

Rumus Umum y = mx + c Rumus Umum: dimanaPeubah Tak Bebas x = Peubah Bebas y =Konstanta m = Kemiringan c =

m =

(25 x 98794.387) - (1250 x 1601.372) =

0.9003 =

Yr - MXr c =_ m ∑x =

n n19.0409 =

n ∑ xy - (∑ x) (∑y)

n ∑ x2 - (∑ x)2

(25 x83300) - (1250)2

∑y

Page 16: Perhitungan Tugas

Jadi dari perhitungan diatas didapatkan persamaan garis lurus yaitu : Jadi dari perhitungan diatas didapatkan persamaan garis lurus yaitu :y = 0.9003 x + 19.0409 y = 0.9046 x + 18.8249untuk x = 2 maka ; y = (0.9003 x 2) + 19.0409 untuk x = 2.229 maka ; y = (0.9046 x 2.229) + 18.8249

= 20.841506524 20.8415

untuk x = 98 maka ; y = (0.9003 x 98) + 17.2404 untuk x = 97.771 maka ; y = (0.9046 x 97.771) + 18.8249 = 107.2682439 105.4698

Page 17: Perhitungan Tugas

Gringorten BloomCurah Hujan X2 Y2 X.Y No TR

33.921 4.970 1150.666 75.621 1 2.47536.245 38.566 1313.715 225.090 2 6.43637.555 103.858 1410.380 382.726 3 10.39639.438 200.845 1555.324 558.909 4 14.35640.638 329.527 1651.480 737.704 5 18.31741.963 489.903 1760.880 928.795 6 22.27742.125 681.975 1774.513 1100.079 7 26.23845.426 905.742 2063.561 1367.133 8 30.19845.980 1161.203 2114.191 1566.846 9 34.15847.143 1448.360 2222.418 1794.119 10 38.11950.793 1767.212 2579.878 2135.226 11 42.07953.927 2117.758 2908.120 2481.672 12 46.04054.200 2500.000 2937.610 2709.986 13 50.00055.981 2913.937 3133.880 3021.908 14 53.96060.927 3359.568 3712.111 3531.443 15 57.92161.777 3836.895 3816.377 3826.622 16 61.88165.476 4345.917 4287.155 4316.436 17 65.84271.196 4886.633 5068.831 4976.898 18 69.80278.058 5459.045 6092.983 5767.310 19 73.76278.950 6063.152 6233.171 6147.574 20 77.72385.727 6698.953 7349.171 7016.534 21 81.68393.160 7366.450 8678.693 7995.696 22 85.64496.442 8065.642 9300.977 8661.313 23 89.604

105.329 8796.528 11094.163 9878.771 24 93.564178.996 9559.110 32039.410 17500.521 25 97.525

1601.372 83101.749 126249.658 98704.933 ∑ 1250.000

Rumus Umum y = mx + c Rumus Umum: dimanaPeubah Tak Bebas x = Peubah Bebas y =Konstanta m = Kemiringan c =

m =

(25 x 98704.933) - (1250 x 1601.372) =

0.9046 =

Yr - MXr c =_ m ∑x =

n n18.8249 =

n ∑ xy - (∑ x) (∑y)

n ∑ x2 - (∑ x)2

(25 x83101.749) - (1250)2

∑y

Page 18: Perhitungan Tugas

Jadi dari perhitungan diatas didapatkan persamaan garis lurus yaitu : Jadi dari perhitungan diatas didapatkan persamaan garis lurus yaitu :y = 0.9046 x + 18.8249 y = 0.9093 x + 18.5908untuk x = 2.229 maka ; y = (0.9046 x 2.229) + 18.8249 untuk x = 2.475 maka ; y = (0.9093 x 2.475) + 18.5908

= 20.841506524 20.84125

untuk x = 97.771 maka ; y = (0.9046 x 97.771) + 18.8249 untuk x = 97.525 maka ; y = (0.9093 x 97.525) + 18.5908 = 107.2682439 107.2686

Page 19: Perhitungan Tugas

CunnaneCurah Hujan X2 Y2 X.Y No TR

33.921 6.127 1150.666 83.964 1 2.38136.245 41.418 1313.715 233.261 2 6.34937.555 108.078 1410.380 390.424 3 10.31739.438 206.107 1555.324 566.183 4 14.28640.638 335.506 1651.480 744.367 5 18.25441.963 496.275 1760.880 934.816 6 22.22242.125 688.413 1774.513 1105.259 7 26.19045.426 911.920 2063.561 1371.788 8 30.15945.980 1166.797 2114.191 1570.615 9 34.12747.143 1453.044 2222.418 1797.017 10 38.09550.793 1770.660 2579.878 2137.308 11 42.06353.927 2119.645 2908.120 2482.777 12 46.03254.200 2500.000 2937.610 2709.986 13 50.00055.981 2911.724 3133.880 3020.761 14 53.96860.927 3354.818 3712.111 3528.946 15 57.93761.777 3829.281 3816.377 3822.824 16 61.90565.476 4335.114 4287.155 4311.068 17 65.87371.196 4872.316 5068.831 4969.602 18 69.84178.058 5440.888 6092.983 5757.711 19 73.81078.950 6040.829 6233.171 6136.247 20 77.77885.727 6672.140 7349.171 7002.478 21 81.74693.160 7334.820 8678.693 7978.512 22 85.71496.442 8028.870 9300.977 8641.547 23 89.683

105.329 8754.289 11094.163 9855.024 24 93.651178.996 9511.077 32039.410 17456.498 25 97.619

1601.372 82890.158 126249.658 98608.983 ∑ 1250.000

Rumus Umum y = mx + c Rumus Umum: dimanaPeubah Tak Bebas x = Peubah Bebas y =Konstanta m = Kemiringan c =

m =

(25 x 98608.983) - (1250 x 1601.372) =

0.9093 =

Yr - MXr c =_ m ∑x =

n n18.5908 =

n ∑ xy - (∑ x) (∑y)

n ∑ x2 - (∑ x)2

(25 x 82890.158) - (1250)2

∑y

Page 20: Perhitungan Tugas

Jadi dari perhitungan diatas didapatkan persamaan garis lurus yaitu : Jadi dari perhitungan diatas didapatkan persamaan garis lurus yaitu :y = 0.9093 x + 18.5908 y = 0.9075 x + 18.6808untuk x = 2.475 maka ; y = (0.9093 x 2.475) + 18.5908 untuk x = 2.381 maka ; y = (0.9075 x 2.381) + 18.6808

= 20.841506524 20.84132

untuk x = 97.525 maka ; y = (0.9093 x 97.525) + 18.5908 untuk x = 97.619 maka ; y = (0.9075 x 97.619) + 18.6808 = 107.2682439 107.2703

Page 21: Perhitungan Tugas

Curah Hujan X2 Y2 X.Y33.921 5.669 1150.666 80.76536.245 40.312 1313.715 230.12837.555 106.450 1410.380 387.47339.438 204.082 1555.324 563.39440.638 333.207 1651.480 741.81241.963 493.827 1760.880 932.50842.125 685.941 1774.513 1103.27345.426 909.549 2063.561 1370.00445.980 1164.651 2114.191 1569.17047.143 1451.247 2222.418 1795.90650.793 1769.337 2579.878 2136.51053.927 2118.922 2908.120 2482.35354.200 2500.000 2937.610 2709.98655.981 2912.572 3133.880 3021.20160.927 3356.639 3712.111 3529.90361.777 3832.200 3816.377 3824.28065.476 4339.254 4287.155 4313.12671.196 4877.803 5068.831 4972.40078.058 5447.846 6092.983 5761.39278.950 6049.383 6233.171 6140.59085.727 6682.414 7349.171 7007.86793.160 7346.939 8678.693 7985.10096.442 8042.958 9300.977 8649.125

105.329 8770.471 11094.163 9864.129178.996 9529.478 32039.410 17473.376

1601.372 82971.151 126249.658 98645.770

Rumus Umum y = mx + c:Peubah Tak Bebas x = Peubah BebasKonstanta m = Kemiringan

(25 x 98645.770) - (1250 x 1601.372)

0.9075

Yr - MXr_ m ∑x

n n18.6808

n ∑ xy - (∑ x) (∑y)

n ∑ x2 - (∑ x)2

(25 x 82971.151) - (1250)2

∑y

Page 22: Perhitungan Tugas

Jadi dari perhitungan diatas didapatkan persamaan garis lurus yaitu :y = 0.9075 x + 18.6808untuk x = 2.381 maka ; y = (0.9075 x 2.381) + 18.6808

= 20.841506524 20.84155

untuk x = 97.619 maka ; y = (0.9075 x 97.619) + 18.6808 = 107.2682439 107.2700