2007 11
5.12 3.056
7.184 1.376
8.56 2.44
2.44 5.9536
2008 3
4.272 3.5424
5.0016 0.4864
5.488 -2.488
2.488 6.190144
2009 6
4.9632 4.11072
5.81568 0.56832
6.384 -0.384
0.384 0.147456
Jumlah 22
17.5552 14.38912
18.72128 2.11072
20.832 -0.832
5.712 12.4512
Mean absolute error =
4 712
. 5
= 1.4 Mean square error =
4 4512
. 12
= 3.1
Forecast Dengan Double Exponential Smoothing dengan alpha = 0.5
Tahun Penderita
S S
at bt
Forcasst Error
Absolute Square
2005 2
2 2
_ 2006
1 1.5
0.5 -0.5
2007 11
6 3.75
8.25 2.25
10.5 0.5
0.5 0.25
2008 3
4.5 4.125
4.875 0.375
5.25 -2.25
2.25 5.0625
2009 6
5.25 4.6875
5.8125 0.5625
6.375 -0.375
0.375 0.140625
Jumlah 22
18.75 16.0625
19.4375 2.6875
22.125 -2.125
3.125 5.453125
Lampiran 2.25
Mean absolute error =
4 125
. 3
= 0.8 Mean square error =
4 453125
. 5
= 1.4
Forecast Dengan Double Exponential Smoothing dengan alpha = 0.6
Tahun Penderita
S S
at bt
Forcasst Error
Absolute Square
2005 2
2 2
_ 2006
0.8 1.28
0.32 -0.72
-0.4 0.4
0.4 0.16
2007 11
6.92 4.664
9.176 3.384
12.56 -1.56
1.56 2.4336
2008 3
4.568 4.6064
4.5296 -0.0576
4.472 -1.472
1.472 2.166784
2009 6
5.4272 5.09888
5.75552 0.49248
6.248 -0.248
0.248 0.061504
Jumlah 22
19.7152 17.64928
19.78112 3.09888
22.88 -2.88
3.68 4.821888
Universitas Sumatera Utara
Mean absolute error =
4 68
. 3
= 0.92 Mean square error =
4 821888
. 4
= 1.2
Forecast Dengan Double Exponential Smoothing dengan alpha = 0.7
Tahun Penderita
S S
at bt
Forcasst Error
Absolute Square
2005 2
2 2
_ 2006
0.6 1.02
0.18 -0.98
-0.8 0.8
0.8 0.64
2007 11
7.88 5.822
9.938 4.802
14.74 -3.74
3.74 13.9876
2008 3
4.464 4.8714
4.0566 -0.9506
3.106 -0.106
0.106 0.011236
2009 6
5.5392 5.33886
5.73954 0.46746
6.207 -0.207
0.207 0.042849
Jumlah 22
20.4832 19.05226
19.91414 3.33886
23.253 -3.253
4.853 14.68169
Mean absolute error =
4 853
. 4
= 1.2 Mean square error =
4 68169
. 14
= 3.7
Forecast Dengan Double Exponential Smoothing dengan alpha = 0.8
Tahun Penderita
S S
at Bt
Forcasst Error
Absolute Square
2005 2
2 2
_ 2006
0.4 0.72
0.08 -1.28
-1.2 1.2
1.2 1.44
2007 11
8.88 7.248
10.512 6.528
17.04 -6.04
6.04 36.4816
2008 3
4.176 4.7904
3.5616 -2.4576
1.104 1.896
1.896 3.594816
2009 6
5.6352 5.46624
5.80416 0.67584
6.48 -0.48
0.48 0.2304
Jumlah 22
21.0912 20.22464
19.95776 3.46624
23.424 -3.424
9.616 41.74682
Mean absolute error =
4 616
. 9
= 2.4 Mean square error =
4 74682
. 41
= 41.7
Forecast Dengan Double Exponential Smoothing dengan alpha = 0.9
Tahun Penderita
S S
at Bt
Forcasst Error
Absolute Square
2005 2
2 2
_ 2006
0.2 0.38
0.02 -1.62
-1.6 1.6
1.6 2.56
Universitas Sumatera Utara
2007 11
9.92 8.966
10.874 8.586
19.46 -8.46
8.46 71.5716
2008 3
3.692 4.2194
3.1646 -4.7466
-1.582 4.582
4.582 20.99472
2009 6
5.7692 5.61422
5.92418 1.39482
7.319 -1.319
1.319 1.739761
Jumlah 22
21.5812 21.17962
19.98278 3.61422
23.597 -3.597
15.961 96.86608
Lampiran 2.26
Mean absolute error =
4 961
. 15
= 3.9 Mean square error =
4 86608
. 96
= 24.2
Hasil Pengolahan data Jumlah Penderita Demam Berdarah di Kabupaten Mandailing Natal
Forecast Dengan Double Exponential Smoothing dengan alpha = 0.1
Tahun Penderita
S S
at bt
Forcasst Error
Absolute Square
2005 _
2006 2007
2008 9
0.9 0.09
1.71 0.09
1.8 7.2
7.2 51.84
2009 0.81
0.162 1.458
0.072 1.53
-1.53 1.53
2.3409
Jumlah 9
1.71 0.252