2009 1.89
2.646 1.134
-1.764 -0.63
0.63 0.63
0.3969
Jumlah 9
8.19 7.056
9.324 2.646
11.97 -2.97
4.23 13.3569
Mean absolute error =
4 23
. 4
= 1.1 Mean square error =
4 3569
. 13
= 3.3
Forecast Dengan Double Exponential Smoothing dengan alpha = 0.8
Tahun Penderita
S S
at bt
Forcasst Error
Absolute Square
2005 _
2006 2007
2008 9
7.2 5.76
8.64 5.76
14.4 -5.4
5.4 29.16
2009 1.44
2.304 0.576
-3.456 -2.88
2.88 2.88
8.2944
Jumlah 9
8.64 8.064
9.216 2.304
11.52 -2.52
8.28 37.4544
Lampiran 2.28
Mean absolute error =
4 28
. 8
= 2.1 Mean square error =
4 4544
. 37
= 9.4
Forecast Dengan Double Exponential Smoothing dengan alpha = 0.9
Tahun Penderita
S S
at bt
Forcasst Error
Absolute Square
2005 _
2006 2007
2008 9
8.1 7.29
8.91 7.29
16.2 -7.2
7.2 51.84
2009 0.81
1.458 0.162
-5.832 -5.67
5.67 5.67
32.1489
Jumlah 9
8.91 8.748
9.072 1.458
10.53 -1.53
13.17 83.9889
Mean absolute error =
4 17
. 13
= 3.3 Mean square error =
4 9889
. 83
= 20.9
Universitas Sumatera Utara
Hasil Pengolahan data Jumlah Penderita Demam Berdarah di Kabupaten Nias
Forecast Dengan Double Exponential Smoothing dengan alpha = 0.1
Tahun Penderita
S S
at bt
Forcasst Error
Absolute Square
2005 _
2006 2
0.2 0.02
0.38 0.02
0.4 1.6
1.6 2.56
2007 0.18
0.036 0.324
0.016 0.34
-0.34 0.34
0.1156 2008
2 0.362
0.0686 0.6554
0.0326 0.688
1.312 1.312
1.721344 2009
19 2.2258
0.28432 4.16728
0.21572 4.383
14.617 14.617
213.6567
Jumlah 23
2.9678 0.40892
5.52668 0.28432
5.811 17.189
17.9 218.0536
Mean absolute error =
4 9
. 17
= 4.5 Mean square error =
4 0536
. 218
= 54.5
Forecast Dengan Double Exponential Smoothing dengan alpha = 0.2
Tahun Penderita
S S
at bt
Forcasst Error
Absolute Square
2005 _
2006 2
0.4 0.08
0.72 0.08
0.8 1.2
1.2 1.44
2007 0.32
0.128 0.512
0.048 0.56
-0.56 0.56
0.3136 2008
2 0.656
0.2336 1.0784
0.1056 1.184
0.816 0.816
0.665856 2009
19 4.3248
1.05184 7.59776
0.81824 8.416
10.584 10.584
112.0211
Jumlah 23
5.7008 1.49344
9.90816 1.05184
10.96 12.04
13.16 114.4405
Mean absolute error =
4 16
. 13
= 3.3 Mean square error =
4 4405
. 114
= 28.6
Forecast Dengan Double Exponential Smoothing dengan alpha = 0.3
Tahun Penderita
S S
at bt
Forcasst Error
Absolute Square
2005 _
2006 2
0.6 0.18
1.02 0.18
1.2 0.8
0.8 0.64
2007 0.42
0.252 0.588
0.072 0.66
-0.66 0.66
0.4356
Universitas Sumatera Utara
2008 2
0.894 0.4446
1.3434 0.1926
1.536 0.464
0.464 0.215296
2009 19
6.3258 2.20896
10.44264 1.76436
12.207 6.793
6.793 46.14485
Jumlah 23
8.2398 3.08556
13.39404 2.20896
15.603 7.397
8.717 47.43575
Lampiran 2.29
Mean absolute error =
4 717
. 8
= 2.2 Mean square error =
4 43575
. 47
= 11.8
Forecast Dengan Double Exponential Smoothing dengan alpha = 0.4
Tahun Penderita
S S
at bt
Forcasst Error
Absolute Square
2005 _
2006 2
0.8 0.32
1.28 0.32
1.6 0.4
0.4 0.16
2007 0.48
0.384 0.576
0.064 0.64
-0.64 0.64
0.4096 2008
2 1.088
0.6656 1.5104
0.2816 1.792
0.208 0.208
0.043264 2009
19 8.2528
3.70048 12.80512
3.03488 15.84
3.16 3.16
9.9856
Jumlah 23
10.6208 5.07008
16.17152 3.70048
19.872 3.128
4.408 10.59846
Mean absolute error =
4 408
. 4
= 1.102 Mean square error =
4 59846
. 10
= 2.6
Forecast Dengan Double Exponential Smoothing dengan alpha = 0.5
Tahun Penderita
S S
at bt
Forcasst Error
Absolute Square
2005 _
2006 2
1 0.5
1.5 0.5
2 2007
0.5 0.5
0.5 0.5
-0.5 0.5
0.25 2008
2 1.25
0.875 1.625
0.375 2
2009 19
10.125 5.5
14.75 4.625
19.375 -0.375
0.375 0.140625
Jumlah 23
12.875 7.375
18.375 5.5
23.875 -0.875
0.875 0.390625
Universitas Sumatera Utara
Mean absolute error =
4 875
.
= 0.2 Mean square error =
4 390625
.
= 0.1
Forecast Dengan Double Exponential Smoothing dengan alpha = 0.6
Tahun Penderita
S S
at bt
Forcasst Error
Absolute Square
2005 _
2006 2
1.2 0.72
1.68 0.72
2.4 -0.4
0.4 0.16
2007 0.48
0.576 0.384
-0.144 0.24
-0.24 0.24
0.0576 2008
2 1.392
1.0656 1.7184
0.4896 2.208
-0.208 0.208
0.043264 2009
19 11.9568
7.60032 16.31328
6.53472 22.848
-3.848 3.848
14.8071
Jumlah 23
15.0288 9.96192
20.09568 7.60032
27.696 -4.696
4.696 15.06797
Mean absolute error =
4 696
. 4
= 1.2 Mean square error =
4 06797
. 15
= 3.8
Forecast Dengan Double Exponential Smoothing dengan alpha = 0.7
Tahun Penderita
S S
at bt
Forcasst Error
Absolute Square
2005 _
2006 2
1.4 0.98
1.82 0.98
2.8 -0.8
0.8 0.64
2007 0.42
0.588 0.252
-0.392 -0.14
0.14 0.14
0.0196 2008
2 1.526
1.2446 1.8074
0.6566 2.464
-0.464 0.464
0.215296 2009
19 13.7578
10.00384 17.51176
8.75924 26.271
-7.271 7.271
52.86744
Jumlah 23
17.1038 12.81644
21.39116 10.00384
31.395 -8.395
8.675 53.74234
Lampiran 2.30
Mean absolute error =
4 675
. 8
= 2.2 Mean square error =
4 74234
. 53
= 13.4
Forecast Dengan Double Exponential Smoothing dengan alpha = 0.8
Universitas Sumatera Utara
Tahun Penderita
S S
at bt
Forcasst Error
Absolute Square
2005 _
2006 2
1.6 1.28
1.92 1.28
3.2 -1.2
1.2 1.44
2007 0.32
0.512 0.128
-0.768 -0.64
0.64 0.64
0.4096 2008
2 1.664
1.4336 1.8944
0.9216 2.816
-0.816 0.816
0.665856 2009
19 15.5328
12.71296 18.35264
11.27936 29.632
-10.632 10.632
113.0394
Jumlah 23
19.1168 15.93856
22.29504 12.71296
35.008 -12.008
18.067 115.5549
Mean absolute error =
4 067
. 18
= 4.5 Mean square error =
4 5549
. 115
= 28.9
Forecast Dengan Double Exponential Smoothing dengan alpha = 0.9
Tahun Penderita
S S
at bt
Forcasst Error
Absolute Square
2005 _
2006 2
1.8 1.62
1.98 1.62
3.6 -1.6
1.6 2.56
2007 0.18
0.324 0.036
-1.296 -1.26
1.26 1.26
1.5876 2008
2 1.818
1.6686 1.9674
1.3446 3.312
-1.312 1.312
1.721344 2009
19 17.2818
15.72048 18.84312
14.05188 32.895
-13.895 13.895
193.071
Jumlah 23
21.0798 19.33308
22.82652 15.72048
38.547 -15.547
18.067 198.94
Mean absolute error =
4 067
. 18
= 4.5 Mean square error =
4 94
. 198
= 49.7
Hasil Pengolahan data Jumlah Penderita Demam Berdarah di Kabupaten Samosir
Forecast Dengan Double Exponential Smoothing dengan alpha = 0.1
Tahun Penderita
S S
at bt
Forcasst Error
Absolute Square
2005 19
19 19
_ 2006
17.1 18.81
15.39 -0.19
15.2 -15.2
15.2 231.04
2007 13
16.69 18.598
14.782 -0.212
14.57 -1.57
1.57 2.4649
2008 15
16.521 18.3903
14.6517 -0.2077
14.444 0.556
0.556 0.309136
Universitas Sumatera Utara
2009 23
17.1689 18.26816
16.06964 -0.12214
15.9475 7.0525
7.0525 49.73776
Jumlah 70
86.4799 93.06646
60.89334 -0.73184
60.1615 -9.1615
24.3785 283.5518
Mean absolute error =
4 3785
. 24
= 6.1 Mean square error =
4 5518
. 283
= 70.9
Forecast Dengan Double Exponential Smoothing dengan alpha = 0.2
Tahun Penderita
S S
at bt
Forcasst Error
Absolute Square
2005 19
19 19
_ 2006
15.2 18.24
12.16 -0.76
11.4 -11.4
11.4 129.96
2007 13
14.76 17.544
11.976 -0.696
11.28 1.72
1.72 2.9584
2008 15
14.808 16.9968
12.6192 -0.5472
12.072 2.928
2.928 8.573184
2009 23
16.4464 16.88672
16.00608 -0.11008
15.896 7.104
7.104 50.46682
Jumlah 70
80.2144 88.66752
52.76128 -2.11328
50.648 0.352
23.152 191.9584
Lampiran 2.31
Mean absolute error =
4 152
. 23
= 5.8 Mean square error =
4 9584
. 191
= 47.9
Forecast Dengan Double Exponential Smoothing dengan alpha = 0.3
Tahun Penderita
S S
at bt
Forcasst Error
Absolute Square
2005 19
19 19
_ 2006
13.3 17.29
9.31 -1.71
7.6 -7.6
7.6 57.76
2007 13
13.21 16.066
10.354 -1.224
9.13 3.87
3.87 14.9769
2008 15
13.747 15.3703
12.1237 -0.6957
11.428 3.572
3.572 12.75918
2009 23
16.5229 15.71608
17.32972 0.34578
17.6755 5.3245
5.3245 28.3503
Jumlah 70
75.7799 83.44238
49.11742 -3.28392
45.8335 5.1665
20.3665 113.8464
Mean absolute error =
4 3665
. 20
= 5.1 Mean square error =
4 8464
. 113
= 28.5
Universitas Sumatera Utara
Forecast Dengan Double Exponential Smoothing dengan alpha = 0.4
Tahun Penderita
S S
at bt
Forcasst Error
Absolute Square
2005 19
19 19
_ 2006
11.4 15.96
6.84 -3.04
3.8 -3.8
3.8 14.44
2007 13
12.04 14.392
9.688 -1.568
8.12 4.88
4.88 23.8144
2008 15
13.224 13.9248
12.5232 -0.4672
12.056 2.944
2.944 8.667136
2009 23
17.1344 15.20864
19.06016 1.28384
20.344 2.656
2.656 7.054336
Jumlah 70
72.7984 78.48544
48.11136 -3.79136
44.32 6.68