3.2 Persamaan Korelasi Pearson Product Moment
Untuk mencari persamaan korelasi atau hubungan faktor-faktor yang mempengaruhi ketahanan pangan, maka diperlukan nilai-nilai seperti Tabel 3.8
berikut:
Tabel 3.8 Nilai-Nilai Yang Diperlukan Untuk Menghitung Korelasi Pearson
Product Moment
No. Y
X
1
X
2
X
3
X
4
X
5
X
6
1 25.514
17.684 158.946 4.506
56,62 6.189.400
11.500 2
26.767 18.359 166.751
4.848 55,21
6.425.650 11.000
3 2.782
20.626 17.330
646 43,06
7.219.100 11.250
4 14.856
13.726 92.546
2.695 55,12
4.804.100 10.391
5 11.464
20.404 71.419
2.150 53,32
7.141.400 10.547
6 4.733
10.972 29.483
1.184 39,97
3.840.200 10.547
7 5.843
11.232 36.402
1.209 48,33
3.931.200 10.547
8 3.923
13.659 24.437
816 48,07
4.780.650 10.391
9 5.460
19.707 34.017
1.375 39,71
6.897.450 10.425
10 1.648
13.263 10.269
395 41,73
4.642.050 10.625
11 11
13.794 70
2 56,01
4.827.900 10.625
12 1.541
66.635 9.599
388 39,71
23.322.250 10.122
13 135
44.091 838
31 43,39
15.431.850 10.422
14 4.471
30.388 27.856
1.126 39,71
10.635.800 10.422
15 584
8.599 3.637
147 39,71
3.009.650 10.234
16 1.456
18.712 9.073
349 41,73
6.549.200 10.391
17 10.316
22.904 64.269
2.201 46,87
8.016.400 10.500
Jumlah 121.504 364.755 756.943 24.068 788 127.664.250 179.939
Universitas Sumatera Utara
Lanjutan Tabel 3.8
No. YX
1
YX
2
YX
3
YX
4
1 451.189.576
4.055.343.538 114.966.084
1.444.603 2
491.415.353 4.463.423.584
129.766.416 1.477.806
3 57.381.532
48.211.619 1.797.172
119.793 4
203.913.456 1.374.858.224
40.036.920 818.863
5 233.911.456
818.752.850 24.647.600
611.260 6
51.930.476 139.543.754
5.603.872 189.178
7 65.628.576
212.699.774 7.064.187
282.392 8
53.584.257 95.867.331
3.201.168 188.579
9 107.600.220
185.730.520 7.507.500
216.817 10
21.857.424 16.923.521
650.960 68.771
11 151.734
768 22
616 12
102.684.535 14.791.843
597.908 61.193
13 5.952.285
113.129 4.185
5.858 14
135.864.748 124.546.347
5.034.346 177.543
15 5.021.816
2.123.822 85.848
23.191 16
27.244.672 13.210.621
508.144 60.759
17 236.277.664
663.001.294 22.705.516
483.511
Jumlah 2.251.609.780
12.229.142.540 364.177.848
6.230.732
Universitas Sumatera Utara
Lanjutan Tabel 3.8
No. YX
5
YX
6
Y
2
X
1 2
1 157.916.351.600
293.411.000 650.964.196
312.723.856 2
171.995.373.550 294.437.000
716.472.289 337.052.881
3 20.083.536.200
31.297.500 7.739.524
425.431.876 4
71.369.709.600 154.368.696
220.700.736 188.403.076
5 81.869.009.600
120.910.808 131.423.296
416.323.216 6
18.175.666.600 49.918.951
22.401.289 120.384.784
7 22.970.001.600
61.626.121 34.140.649
126.157.824 8
18.754.489.950 40.763.893
15.389.929 186.568.281
9 37.660.077.000
56.920.500 29.811.600
388.365.849 10
7.650.098.400 17.510.000
2.715.904 175.907.169
11 53.106.900
116.875 121
190.274.436 12
35.939.587.250 15.598.002
2.374.681 4.440.223.225
13 2.083.299.750
1.406.970 18.225
1.944.016.281 14
47.552.661.800 46.596.762
19.989.841 923.430.544
15 1.757.635.600
5.976.656 341.056
73.942.801 16
9.535.635.200 15.129.296
2.119.936 350.138.944
17 82.697.182.400
108.318.000 106.419.856
524.593.216
Universitas Sumatera Utara
Jumlah 788.063.423.000 1.314.307.030 1.963.023.128 11.123.938.259
Lanjutan Tabel 3.8
No. X
2 2
X
3 2
X
4 2
1 25.263.772.284
20.304.036 3205,82
2 27.805.890.612
23.503.104 3048,14
3 300.323.406
417.316 1854,16
4 8.564.697.926
7.263.025 3038,21
5 5.100.741.266
4.622.500 2843,02
6 869.256.195
1.401.856 1597,6
7 1.325.141.592
1.461.681 2335,79
8 597.179.176
665.856 2310,72
9 1.157.127.630
1.890.625 1576,88
10 105.454.970
156.025 1741,39
11 4.870
4 3137,12
12 92.138.114
150.544 1576,88
13 702.229
961 1882,69
14 775.983.789
1.267.876 1576,88
15 13.225.452
21.609 1576,88
16 82.323.479
121.801 1741,39
17 4.130.532.898
4.844.401 2196,8
Jumlah 76.184.495.889
68.093.220 37.240
Universitas Sumatera Utara
Lanjutan Tabel 3.8
No. X
5 2
X
6 2
1 38.308.672.360.000
132.250.000 2
41.288.977.922.500 121.000.000
3 52.115.404.810.000
126.562.500 4
23.079.376.810.000 107.972.881
5 50.999.593.960.000
111.239.209 6
14.747.136.040.000 111.239.209
7 15.454.333.440.000
111.239.209 8
22.854.614.422.500 107.972.881
9 47.574.816.502.500
108.680.625 10
21.548.628.202.500 112.890.625
11 23.308.618.410.000
112.890.625 12
543.927.345.062.500 102.454.884
13 238.141.994.422.500
108.618.084 14
113.120.241.640.000 108.618.084
15 9.057.993.122.500
104.734.756 16
42.892.020.640.000 107.972.881
17 64.262.668.960.000
110.250.000
Jumlah 1.362.682.436.727.500
1.906.586.453
Universitas Sumatera Utara
2 2
2 2
i
i i
yx i
i
n X Y
X Y
r n
X X
n Y Y
Dari Tabel 3.8 diatas diperoleh harga-harga sebagai berikut: n
= 17 ∑YX
4
= 6.230.732 ∑Y
= 121.504 ∑YX
5
= 788.063.423.000 ∑X
1
= 364.755 ∑YX
6
= 1.314.307.030 ∑X
2
= 756.943 ∑Y
2
= 1.963.023.128 ∑X
3
= 24.068 ∑X
1 2
= 11.123.938.259 ∑X
4
= 788 ∑X
2 2
= 76.184.495.889 ∑X
5
= 127.664.250 ∑X
3 2
= 68.093.220 ∑X
6
= 177.495 ∑X
4 2
= 37.240 ∑Y X
1
= 2.251.609.780 ∑X
5 2
= 1.362.682.436.727.500 ∑Y X
2
= 12.229.142.540 ∑X
6 2
= 1.906.586.453 ∑Y X
3
= 364.177.848 Untuk mengetahui berapa besar korelasi atau hubungan faktor-faktor yang
mempengaruhi ketahanan pangan, maka dapat dihitung menggunakan rumus sebagai berikut:
3.1
dengan:
i
yx
r
= Koefisien korelasi antara Y dan X
i
X
= Variabel bebas indipendent
Y
= Variabel terikat dependent n
= Banyak data
Universitas Sumatera Utara
1
1 1
2 2
2 2
1 1
2 2
172251609780 364755121504 =
{1711123938259 364755 }{171963023128 121504 } 38277366260 44319191520
= {189106950403 133046210025}{33371393176 14763
yx
n X Y
X Y
r n
X X
n Y
Y
222016} 6041825260
= 5606074037818608171160
6041825260 =
1043187852310150000000 6041825260
= 32298418728
0,187 =
3.3 Perhitungan Korelasi Antara Variabel Terikat Dependent Dengan
Kategori