DAFTAR ANALISIS VARIANS (ANAVA) REGRESI
LINIER SEDERHANA
|
Sumber variasi
|
dk
|
JK
|
RJK
|
Fhitung
|
|
|
Total
|
n
|
∑Y2
|
∑Y2
|
|
|
|
Koefisien
(a)
Regresi
(b/a)
Sisa
|
1
1
n-2
|
JK(a)
JK(b/a)
JK(S)
|
JK(a)
s2reg= JK(b/a)
s2sis= JK(S)/n-2
|
s2reg
s2sis
|
|
|
Tuna cocok
Galat
|
k-2
n-k
|
JK(TC)
JK(G)
|
s2TC = JK(TC)/k-2
s2TC = JK(G)/n-k
|
s2TC
s2TC
|
Uji Keberartian Regresi
H0: Koefisien arah
regresi tidak berarti (b=0)
H1: Koefisien arah
regresi berarti (b ≠ )
Kriteria: tolak hipótesis nol jika F
hitung lebih besar dari F tabel berdasarkan taraf kesalahan yang dipilih dan dk
pembilang 1 dan dk penyebut n – 2.
Uji Linieritas
H0 : Regresi Linier
H1 : Regresi Non Linier
Kriteria: tolak hipótesis nol jika F
hitung untuk tuna cocok lebih besar dari F tabel dengan taraf kesalahan yang
dipilih dan dk yang besesuaian.
Keterangan:
JK (T) =
∑Y2
JK (a)
= ∑(Y)2/n
(∑X)(
∑Y)
JK(b/a) = b ∑XY - 
N
JK(S) = JK(T) – JK(a) – JK (b/a)
JK (G)= ∑∑Y2 – (∑Y)2/ni
Untuk menghitung JK(G) diperlukan tabel pengelompokan data X berharga
sama sebagai berikut:
|
X1
|
Y
|
ni
|
k
|
S2i
|
|
35
|
90
|
1
|
1
|
|
|
35
|
109
|
|
|
|
|
40
|
102
|
1
|
2
|
|
|
43
|
109
|
1
|
3
|
|
|
44
|
124
|
1
|
4
|
|
|
45
|
98
|
2
|
5
|
0
|
|
45
|
98
|
|
|
|
|
50
|
112
|
1
|
6
|
|
|
51
|
97
|
1
|
7
|
|
|
52
|
98
|
2
|
8
|
112.5
|
|
52
|
113
|
|
|
|
|
53
|
112
|
1
|
9
|
|
|
54
|
148
|
1
|
10
|
|
|
55
|
109
|
1
|
11
|
|
|
56
|
114
|
1
|
12
|
|
|
58
|
100
|
2
|
13
|
924.5
|
|
58
|
143
|
|
|
|
|
59
|
110
|
2
|
14
|
8
|
|
59
|
106
|
|
|
|
|
60
|
109
|
2
|
15
|
612.5
|
|
60
|
144
|
|
|
|
|
62
|
156
|
|
|
|
|
62
|
124
|
|
|
|
|
62
|
118
|
5
|
16
|
1636.8
|
|
62
|
114
|
|
|
|
|
62
|
102
|
|
|
|
|
63
|
123
|
2
|
17
|
2
|
|
63
|
121
|
|
|
|
|
64
|
144
|
2
|
18
|
722
|
|
64
|
106
|
|
|
|
|
65
|
120
|
1
|
19
|
|
|
66
|
145
|
1
|
20
|
|
|
67
|
139
|
1
|
21
|
|
|
68
|
125
|
2
|
22
|
0
|
|
68
|
125
|
|
|
|
|
69
|
119
|
1
|
23
|
|
|
70
|
146
|
|
|
|
|
70
|
146
|
3
|
24
|
66.67
|
|
70
|
156
|
|
|
|
|
71
|
126
|
|
|
|
|
71
|
114
|
|
|
|
|
71
|
119
|
4
|
25
|
102.75
|
|
71
|
126
|
|
|
|
|
72
|
143
|
|
|
|
|
72
|
142
|
|
|
|
|
72
|
98
|
4
|
26
|
1377
|
|
72
|
119
|
|
|
|
|
73
|
100
|
|
|
|
|
73
|
121
|
|
|
|
|
73
|
130
|
4
|
27
|
3642.75
|
|
73
|
182
|
|
|
|
|
74
|
116
|
|
|
|
|
74
|
115
|
3
|
28
|
2
|
|
74
|
117
|
|
|
|
|
75
|
148
|
|
|
|
|
75
|
112
|
3
|
29
|
1288.67
|
|
75
|
161
|
|
|
|
|
76
|
141
|
1
|
30
|
|
|
77
|
119
|
1
|
31
|
|
|
78
|
116
|
2
|
32
|
12.5
|
|
78
|
121
|
|
|
|
|
79
|
112
|
|
|
|
|
79
|
120
|
3
|
33
|
42.67
|
|
79
|
120
|
|
|
|
|
80
|
112
|
|
|
|
|
80
|
160
|
3
|
34
|
1536
|
|
80
|
112
|
|
|
|
|
84
|
159
|
1
|
35
|
|
|
85
|
154
|
|
|
|
|
85
|
138
|
|
|
|
|
85
|
123
|
5
|
36
|
1093.2
|
|
85
|
156
|
|
|
|
|
85
|
121
|
|
|
|
|
86
|
132
|
1
|
37
|
|
|
87
|
124
|
|
|
|
|
87
|
143
|
|
|
|
|
87
|
164
|
4
|
38
|
1142
|
|
87
|
165
|
|
|
|
|
88
|
142
|
|
|
|
|
88
|
145
|
3
|
39
|
844.67
|
|
88
|
179
|
|
|
|
|
89
|
126
|
2
|
40
|
144.5
|
|
89
|
109
|
|
|
|
|
90
|
146
|
1
|
41
|
|
|
94
|
181
|
1
|
42
|
|
|
96
|
109
|
2
|
43
|
72
|
|
96
|
121
|
|
|
|
|
|
|
|
|
14536,58
|
Dengan demikian diperoleh JK(G) = 14536,58
JK(TC)= JK(S)
– JK(G)
= 29575,40 – 14536,58
=15038,82
Maka diperoleh:
Analisis Variansi untuk Signifikansi dan Linieritas Regresi
Profesionalitas Kerja Guru atas Efektivitas Manajerial
: Ŷ = 79,531 + 0,670X1
|
Sumber variasi
|
dk
|
JK
|
RJK
|
Fhitung
|
Ftabel
|
|
|
α = 0,05
|
α = 0,01
|
|||||
|
Total
|
88
|
1450695,00
|
1450695
|
|
|
|
|
Koefisien
(a)
Regresi
(b/a)
Sisa
|
1
1
86
|
1413009,10
8110,50
29575,40
|
8110,50
343,90
|
23,58**
|
3,96
|
6,96
|
|
Tuna
cocok
Galat
|
42
44
|
15038,82
14536,58
|
358,08
330,38
|
1,08ns
|
1,66
|
2,06
|
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