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CARA 1CARA 1
ELEMINASI & SUBSTITUSI
CONTOHY 8 13 16 18 20
X 5 6 8 10 11X1X2
2 4 5 6 8
DiDimana:Y = hasil produksi pertanian (kw / ha)X1 = tingkat pemupukan (kg / ha)1 g p p ( g )X2 = curah hujan (cm per minggu)
YXbXbb ∑∑∑
YXXXbXbXb
YXbXbbn
12122
1110
22110
.
.
∑=∑+∑+∑
∑=∑+∑+
YXXbXXbXb 222212120 . ∑=∑+∑+∑
Yi X1 X2 X12 X22 X1.X2 X1.Y X2.Y Y2
8 5 2
13 6 4
16 8 5
18 10 6
20 11 8
∑75 ∑40 ∑25
Yi X1 X2 X12 X22 X1.X2 X1.Y X2.Y Y2
8 5 2 25
13 6 4 36
16 8 5 64
18 10 6 100
20 11 8 121
∑75 ∑40 ∑25 ∑346
Yi X1 X2 X12 X22 X1.X2 X1.Y X2.Y Y2
8 5 2 25 4
13 6 4 36 16
16 8 5 64 25
18 10 6 100 36
20 11 8 121 64
∑75 ∑40 ∑25 ∑346 ∑145
Yi X1 X2 X12 X22 X1.X2 X1.Y X2.Y Y2
8 5 2 25 4 10
13 6 4 36 16 24
16 8 5 64 25 40
18 10 6 100 36 60
20 11 8 121 64 88
∑75 ∑40 ∑25 ∑346 ∑145 ∑222
Yi X1 X2 X12 X22 X1.X2 X1.Y X2.Y Y2
8 5 2 25 4 10 40
13 6 4 36 16 24 78
16 8 5 64 25 40 128
18 10 6 100 36 60 180
20 11 8 121 64 88 220
∑75 ∑40 ∑25 ∑346 ∑145 ∑222 ∑646
Yi X1 X2 X12 X22 X1.X2 X1.Y X2.Y Y2
8 5 2 25 4 10 40 16
13 6 4 36 16 24 78 52
16 8 5 64 25 40 128 80
18 10 6 100 36 60 180 108
20 11 8 121 64 88 220 160
∑75 ∑40 ∑25 ∑346 ∑145 ∑222 ∑646 ∑416
Yi X1 X2 X12 X22 X1.X2 X1.Y X2.Y Y2
8 5 2 25 4 10 40 16 64
13 6 4 36 16 24 78 52 169
16 8 5 64 25 40 128 80 256
18 10 6 100 36 60 180 108 324
20 11 8 121 64 88 220 160 400
∑75 ∑40 ∑25 ∑346 ∑145 ∑222 ∑646 ∑416 ∑1213
YXXXbXbXb
YXbXbbn2
22110.
∑=∑+∑+∑
∑=∑+∑+
YXXbXXbXb
YXXXbXbXb
222212120
12121110
.
.
∑=∑+∑+∑
∑=∑+∑+∑
Yi X1 X2 X12 X22 X1.X2 X1.Y X2.Y Y2
8 5 2 25 4 10 40 16 64
13 6 4 36 16 24 78 52 16913 6 4 36 16 24 78 52 169
16 8 5 64 25 40 128 80 256
18 10 6 100 36 60 180 108 324
20 11 8 121 64 88 220 160 400
∑75 ∑40 ∑25 ∑346 ∑145 ∑222 ∑646 ∑416 ∑1213
(2)64622234640(1) ............ 7525405
210
210
=++=++bbb
bbb
(3) ............ 41614522225(2)............ 64622234640
210
210
=++++
bbbbbb
Kemudian cari gabungan pers (1) dan (2)
462262- 64622234640 1 x 6462223464060020032004 8 x 7525405
21
210210
210210
−=−=++=++=++=++
bbbbbbbbbbbbbb
(4) ... 462262 2121
=+ bb
Kemudian cari gabungan pers (1) dan (3)g g p ( ) ( )
41614522225 1 x 4161452222537512520052 5 x 7525405
210210
210210
=++=++=++=++
bbbbbbbbbbbb
(5) ... 412022 412022-
21
21
=+−=−
bbbb
Untuk cari b1 dan b2 kita dapat gabungkan pers. (4) dan (5)
981 451220242 11 x 412022
460220260 10 x 462226
2121
2121
==+=+=+=+
bbbbbbbbb
0,5 981
1
1
==
bb
Untuk cari b2 masukan ke pers. (4) atau pers. (5)Untuk cari b2 masukan ke pers. (4) atau pers. (5)
4120)5,0(22 412022
2
21
=+=+b
bb
3020 412011 4120)5,0(22
2
2
2
=+=+
+
bbb
5,1 2
2
=b
Cari b0 , dengan cara memasukan hasil b1 dan b2 pada salah satu pers. (1) , pers. (2) atau pers. (3)
75)5,1(25)5,0(4057525405
0
210
=++=++
bbbb
5,175 755,37205
)()(
0
0
0
==++
bb
5,30 =b
Jadi, didapat pers. Regresi linier berganda :Jadi, didapat pers. Regresi linier berganda :
515053ˆ XXY ++ 21 5,15,05,3 XXY ++=