Forecast Dengan Double Exponential Smoothing dengan alpha = 0.3
Tahun Penderita
S S
at bt
Forcasst Error
Absolute Square
2005 27
27 27
_ 2006
17 24
26.1 21.9
-0.9 21
-4 4
16 2007
17 21.9
24.84 18.96
-1.26 17.7
-0.7 0.7
0.49 2008
19 21.03
23.697 18.363
-1.143 17.22
1.78 1.78
3.1684 2009
25 22.221
23.2542 21.1878
-0.4428 20.745
4.255 4.255
18.10503
Jumlah 105
116.151 124.8912
80.4108 -3.7458
76.665 1.335
10.735 37.76343
Lampiran 2.20
Mean absolute error =
4 735
. 10
= 2.7 Mean square error =
4 76343
. 37
= 9.4
Forecast Dengan Double Exponential Smoothing dengan alpha = 0.4
Tahun Penderita
S S
at bt
Forcasst Error
Absolute Square
2005 27
27 27
_ 2006
17 23
25.4 20.6
-1.6 19
-2 2
4 2007
17 20.6
23.48 17.72
-1.92 15.8
1.2 1.2
1.44 2008
19 19.96
22.072 17.848
-1.408 16.44
2.56 2.56
6.5536 2009
25 21.976
22.0336 21.9184
-0.0384 21.88
3.12 3.12
9.7344
Jumlah 105
112.536 119.9856
78.0864 -4.9664
73.12 4.88
8.88 21.728
Mean absolute error =
4 88
. 8
= 2.22 Mean square error =
4 728
. 21
= 5.4
Forecast Dengan Double Exponential Smoothing dengan alpha = 0.5
Tahun Penderita
S S
at bt
Forcasst Error
Absolute Square
2005 27
27 27
_ 2006
17 22
24.5 19.5
-2.5 17
Universitas Sumatera Utara
2007 17
19.5 22
17 -2.5
14.5 2.5
2.5 6.25
2008 19
19.25 20.625
17.875 -1.375
16.5 2.5
2.5 6.25
2009 25
22.125 21.375
22.875 0.75
23.625 1.375
1.375 1.890625
Jumlah 105
109.875 115.5
77.25 -5.625
71.625 6.375
6.375 14.39063
Mean absolute error =
4 375
. 6
= 1.6 Mean square error =
4 39063
. 14
= 3.6
Forecast Dengan Double Exponential Smoothing dengan alpha = 0.6
Tahun Penderita
S S
at bt
Forcasst Error
Absolute Square
2005 27
27 27
_ 2006
17 21
23.4 18.6
-3.6 15
2 2
4 2007
17 18.6
20.52 16.68
-2.88 13.8
3.2 3.2
10.24 2008
19 18.84
19.512 18.168
-1.008 17.16
1.84 1.84
3.3856 2009
25 22.536
21.3264 23.7456
1.8144 25.56
-0.56 0.56
0.3136
Jumlah 105
107.976 111.7584
77.1936 -5.6736
71.52 6.48
7.6 17.9392
Mean absolute error =
4 6
. 7
= 1.9 Mean square error =
4 9392
. 17
= 4.5
Forecast Dengan Double Exponential Smoothing dengan alpha = 0.7
Tahun Penderita
S S
at bt
Forcasst Error
Absolute Square
2005 27
27 27
_ 2006
17 20
22.1 17.9
-4.9 13
4 4
16 2007
17 17.9
19.16 16.64
-2.94 13.7
3.3 3.3
10.89 2008
19 18.67
18.817 18.523
-0.343 18.18
0.82 0.82
0.6724 2009
25 23.101
21.8158 24.3862
2.9988 27.385
-2.385 2.385
5.688225
Jumlah 105
106.671 108.8928
77.4492 -5.1842
72.265 5.735
10.505 33.25063
Lampiran 2.21
Universitas Sumatera Utara
Mean absolute error =
4 505
. 10
= 2.6 Mean square error =
4 25063
. 33
= 8.1
Forecast Dengan Double Exponential Smoothing dengan alpha = 0.8
Tahun Penderita
S S
at bt
Forcasst Error
Absolute Square
2005 27
27 27
_ 2006
17 19
20.6 17.4
-6.4 11
6 6
36 2007
17 17.4
18.04 16.76
-2.56 14.2
2.8 2.8
7.84 2008
19 18.68
18.552 18.808
0.512 19.32
-0.32 0.32
0.1024 2009
25 23.736
22.6992 24.7728
4.1472 28.92
-3.92 3.92
15.3664
Jumlah 105
105.816 106.8912
77.7408 -4.3008
73.44 4.56
13.04 59.3088
Mean absolute error =
4 04
. 13
= 3.26 Mean square error =
4 3088
. 59
= 14.8
Forecast Dengan Double Exponential Smoothing dengan alpha = 0.9
Tahun Penderita
S S
at bt
Forcasst Error
Absolute Square
2005 27
27 27
_ 2006
17 18
18.9 17.1
-8.1 9
8 8
64 2007
17 17.1
17.28 16.92
-1.62 15.3
1.7 1.7
2.89 2008
19 18.81
18.657 18.963
1.377 20.34
-1.34 1.34
1.7956 2009
25 24.381
23.8086 24.9534
5.1516 30.105
-5.105 5.105
26.06102
Jumlah 105
105.291 105.6456
77.9364 -3.1914
74.745 3.255
16.145 94.74662
Mean absolute error =
4 145
. 16
= 4.0 Mean square error =
4 74662
. 94
= 23.7
Hasil Pengolahan data Jumlah Penderita Demam Berdarah di Kabupaten Tapanuli Tengah Forecast Dengan Double Exponential Smoothing dengan alpha = 0.1
Tahun Penderita
S S
at bt
Forcasst Error
Absolute Square
Universitas Sumatera Utara
2005 _
2006 10
1 0.1
1.9 0.1
2 8
8 64
2007 8
1.7 0.26
3.14 0.16
3.3 4.7
4.7 22.09
2008 8
2.33 0.467
4.193 0.207
4.4 3.6
3.6 12.96
2009 22
4.297 0.85
7.744 0.383
8.127 13.873
13.873 192.4601
Jumlah 48
9.327 1.677
16.977 0.85
17.827 30.173
30.173 291.5101
Mean absolute error =
4 173
. 30
= 7.5 Mean square error =
4 5101
. 291
= 72.9
Forecast Dengan Double Exponential Smoothing dengan alpha = 0.2
Tahun Penderita
S S
at bt
Forcasst Error
Absolute Square
2005 _
2006 10
2 0.4
3.6 0.4
4 6
6 36
2007 8
3.2 0.96
5.44 0.56
6 2
2 4
2008 8
4.16 1.6
6.72 0.64
7.36 0.64
0.64 0.4096
2009 22
7.728 2.8256
12.6304 1.2256
13.856 8.144
8.144 66.32474
Jumlah 48
17.088 5.7856
28.3904 2.8256
31.216 16.784
16.784 106.7343
Lampiran 2.22
Mean absolute error =
4 784
. 16
= 4.2 Mean square error =
4 7343
. 106
= 26.7
Forecast Dengan Double Exponential Smoothing dengan alpha = 0.3
Tahun Penderita
S S
at bt
Forcasst Error
Absolute Square
2005 _
2006 10
3 0.9
5.1 0.9
6 4
4 16
2007 8
4.5 1.98
7.02 1.08
8.1 -0.1
0.1 0.01
2008 8
5.55 3.051
8.049 1.071
9.12 -1.12
1.12 1.2544
Universitas Sumatera Utara
2009 22
10.485 5.2812
15.6888 2.2302
17.919 4.081
4.081 16.65456
Jumlah 48
23.535 11.2122
35.8578 5.2812
41.139 6.861
9.301 33.91896
Mean absolute error =
4 301
. 9
= 2.3 Mean square error =
4 91896
. 33
= 8.5
Forecast Dengan Double Exponential Smoothing dengan alpha = 0.4
Tahun Penderita
S S
at bt
Forcasst Error
Absolute Square
2005 _
2006 10
4 1.6
6.4 1.6
8 2
2 4
2007 8
5.6 3.2
8 1.6
9.6 -1.6
1.6 2.56
2008 8
6.56 4.544
8.576 1.344
9.92 -1.92
1.92 3.6864
2009 22
12.736 7.8208
17.6512 3.2768
20.928 1.072
1.072 1.149184
Jumlah 48
28.896 17.1648
40.6272 7.8208
48.448 -0.448
6.592 11.39558
Mean absolute error =
4 592
. 6
= 1.648 Mean square error =
4 39558
. 11
= 2.8
Forecast Dengan Double Exponential Smoothing dengan alpha = 0.5
Tahun Penderita
S S
at bt
Forcasst Error
Absolute Square
2005 _
2006 10
5 2.5
7.5 2.5
10 2007
8 6.5
4.5 8.5
2 10.5
-2.5 2.5
6.25 2008
8 7.25
5.875 8.625
1.375 10
-2 2
4 2009
22 14.625
10.25 19
4.375 23.375
-1.375 1.375
1.890625
Jumlah 48
33.375 23.125
43.625 10.25
53.875 -5.875
5.875 12.14063
Mean absolute error =
4 875
. 5
= 1.5 Mean square error =
4 14063
. 12
= 3.0
Forecast Dengan Double Exponential Smoothing dengan alpha = 0.6
Universitas Sumatera Utara
Tahun Penderita
S S
at bt
Forcasst Error
Absolute Square
2005 _
2006 10
6 3.6
8.4 3.6
12 -2
2 4
2007 8
7.2 5.76
8.64 2.16
10.8 -2.8
2.8 7.84
2008 8
7.68 6.912
8.448 1.152
9.6 -1.6
1.6 2.56
2009 22
16.272 12.528
20.016 5.616
25.632 -3.632
3.632 13.19142
Jumlah 48
37.152 28.8
45.504 12.528
58.032 -10.032
10.032 27.59142
Lampiran 2.23
Mean absolute error =
4 032
. 10
= 2.5 Mean square error =
4 59142
. 27
= 6.9
Forecast Dengan Double Exponential Smoothing dengan alpha = 0.7
Tahun Penderita
S S
at bt
Forcasst Error
Absolute Square
2005 _
2006 10
7 4.9
9.1 4.9
14 -4
4 16
2007 8
7.7 6.86
8.54 1.96
10.5 -2.5
2.5 6.25
2008 8
7.91 7.595
8.225 0.735
8.96 -0.96
0.96 0.9216
2009 22
17.773 14.7196
20.8264 7.1246
27.951 -5.951
5.951 35.4144
Jumlah 48
40.383 34.0746
46.6914 14.7196
61.411 -13.411
13.411 58.586
Mean absolute error =
4 411
. 13
= 3.3 Mean square error =
4 586
. 58
= 14.6
Forecast Dengan Double Exponential Smoothing dengan alpha = 0.8
Tahun Penderita
S S
at bt
Forcasst Error
Absolute Square
2005 _
2006 10
8 6.4
9.6 6.4
16 -6
6 36
2007 8
8 7.68
8.32 1.28
9.6 -1.6
1.6 2.56
2008 8
8 7.936
8.064 0.256
8.32 -0.32
0.32 0.1024
Universitas Sumatera Utara
2009 22
19.2 16.9472
21.4528 9.0112
30.464 -8.464
8.464 71.6393
Jumlah 48
43.2 38.9632