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Regresi

03 Agu

1. DATA

Sampel X Y X2 Y2 XY x x2 y y2 xy
1 20 16 400 256 320 6 36 6 36 36
2 20 12 400 144 240 6 36 2 4 12
3 12 10 144 100 120 -2 4 0 0 0
4 12 8 144 64 96 -2 4 -2 4 4
5 6 4 36 16 24 -8 64 -6 36 48
S 70 50 1124 580 800 0 144 0 80 100
Rata-rata 14 10

2. Model Regresi Y = a + b.X
b = Sxy/Sx2
~= 0.694444444
a = Y – b X
10 – 9.722222222
0.277777778

Y = 0,28 + 0,69 X

3. Jumlah Kuadrat
a. Total JK(T) = SY2 ~= 580
b. Regresi a: JK (a) = (SY)2/n
~= 502/5
~= 500
c. Reduksi : JK (R) = JK(T) – JK(a) = 80
d. Regresi b: JK (b)=b.Sxy = 69.44444444
e. Sisa : JK (s) = JK (R) – JK (b) = 10.55555556
f. Galat JK (G) = S{Sy2k) = (162+122) – (16+12)2/2 + (102 + 82) -(10 + 8)2/2 + 0
10
g. Tuna Cocok JK (TC) = JK (S) – JK (G) = 0.555555556

4. Tabel ANAVA
Sub. Varian db JK RJK Fh Ft
Total 5 580
Reg.a 1 500 500
Reg.b 1 69.44444444 69.44444444 19.73684211 …10,3…
sisa 3 10.55555556 3.518518519
Tuna Cocok 1 0.555555556 0.555555556 0.111111111 …18,51..
galat 2 10 5

5. Uji signifikansi regresi
a. Ho b = 0
Hi b ¹ 0
Karena Fh (19.737) > Ft (10.3) , maka Ho ditolak
artinya ada hubungan berbentuk regresi secara signifikan
b. Ho Y = a + b X
Hi Y ¹ a + b X
Karena Fh (0,111) < Ft (18,51), maka Ho diterima
Artinya hubungan antara X dan Y berbentuk regresi linier sederhana

 
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Ditulis oleh pada Agustus 3, 2009 in Tak Berkategori

 

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