- Y = variabel dependen yang diprediksikan
a = konstanta
b = koefisien regresi X terhadap Y
X = variabel independen yang mempunyai nilai tertentu
Berikut ini adalah contoh perhitungan regresi linier sederhana hasil pengamatan densitas pakan (X) terhadap tingkat kecernaan bahan kering (Y):
Sample | Xi | Yi | Xi Yi | Xi2 | Yi2 |
1 | 13,9427 | 54,73 | 763,0840 | 194,3989 | 2995,3729 |
2 | 9,9157 | 53,87 | 534,1588 | 98,3211 | 2901,9769 |
3 | 7,5652 | 52,52 | 397,3243 | 57,2323 | 2758,3504 |
4 | 14,6474 | 56,06 | 821,1332 | 214,5463 | 3142,7236 |
5 | 9,9510 | 54,55 | 542,8270 | 99,0224 | 2975,7025 |
6 | 6,8356 | 53,21 | 363,7223 | 46,7254 | 2831,3041 |
7 | 13,6373 | 57,43 | 783,1901 | 185,9759 | 3298,2049 |
8 | 10,2808 | 55,82 | 573,8743 | 105,6948 | 3115,8724 |
9 | 7,3421 | 53,86 | 395,4455 | 53,9064 | 2900,8996 |
Jumlah | 94,1178 | 492,05 | 5174,7595 | 1055,8236 | 26920,4073 |
Rata-rata | 10,4575 | 54,6722 | 574,9733 | 117,3137 | 2991,1564 |
Perhitungan:
- a = [(492,05)(1055,8236) - (94,1178)(5174,7595)] / [(9)(1055,8236) - (94,1178)2]
a = 50,4166337304825
a = 50,4166
b = [(9)(5174,7595) - (94,1178)(492,05)] / [(9)(1055,8236) - (94,1178)2]
b = 0,406939988245132
b = 0,4069
- Y = 50,4166 + 0,4069X
Sumber : Analisa Statistika Online
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