TUGAS ANALISIS REGRESI
1. Lakukan predikssi CHOL dengan variable independen TRIG, UM, UM kuadrat.
a. Hitung SSReg (X₃|X₁,X₂)
b. Hitung SSRes
c. Hitung MSSReg (X₃|X₁,X₂)
d. Hitung MSSRes
e. Hitung nilai F parsial
f. Hitung nilai r²
g. Buktikan bahwa penambahan X₃ berperan dalam memprediksi Y.
UM
|
CHOL
|
TRIG
|
UM
|
CHOL
|
TRIG
|
UM
|
CHOL
|
TRIG
|
40.0
|
218.0
|
194.0
|
37.0
|
212.0
|
140.0
|
55.0
|
319.0
|
191.0
|
46.0
|
265.0
|
188.0
|
40.0
|
244.0
|
132.0
|
58.0
|
212.0
|
216.0
|
49.0
|
197.0
|
134.0
|
32.0
|
217.0
|
140.0
|
41.0
|
209.0
|
154.0
|
44.0
|
188.0
|
155.0
|
56.0
|
227.0
|
279.0
|
60.0
|
224.0
|
198.0
|
41.0
|
217.0
|
191.0
|
49.0
|
218.0
|
101.0
|
50.0
|
184.0
|
129.0
|
56.0
|
240.0
|
207.0
|
50.0
|
241.0
|
213.0
|
48.0
|
222.0
|
115.0
|
48.0
|
222.0
|
155.0
|
46.0
|
234.0
|
168.0
|
49.0
|
229.0
|
148.0
|
49.0
|
244.0
|
235.0
|
52.0
|
231.0
|
242.0
|
39.0
|
204.0
|
164.0
|
41.0
|
190.0
|
167.0
|
51.0
|
297.0
|
142.0
|
40.0
|
211.0
|
104.0
|
38.0
|
209.0
|
186.0
|
46.0
|
230.0
|
240.0
|
47.0
|
230.0
|
218.0
|
36.0
|
208.0
|
179.0
|
60.0
|
258.0
|
173.0
|
67.0
|
230.0
|
239.0
|
39.0
|
214.0
|
129.0
|
47.0
|
243.0
|
175.0
|
57.0
|
222.0
|
183.0
|
59.0
|
238.0
|
220.0
|
58.0
|
236.0
|
199.0
|
50.0
|
213.0
|
190.0
|
56.0
|
219.0
|
155.0
|
66.0
|
193.0
|
201.0
|
43.0
|
238.0
|
259.0
|
44.0
|
241.0
|
201.0
|
52.0
|
193.0
|
193.0
|
55.0
|
234.0
|
156.0
|
JAWAB:
SUMBER
|
df
|
SS
|
MS
|
F
|
r²
|
X₁
Regresi X₂|X₁
X₃|X₁,X₂
|
1
1
1
|
1181.676
725.495
1346.951
|
1181.676
725.495
1346.951
|
1.908
1.171
2.174
| |
Residual
|
41
|
25392.322
|
619.325
| ||
Total
|
44
|
28646.444
|
a. SSReg (X₃|X₁,X₂)
Model 6 – model 4 = 25392.322 – 26739,273 = 1346,951
b. SSres
25392.322
c. MSSReg (X₃|X₁,X₂)
1346.951 :1 = 1346.951
d. MSSRes
619.325
e. 1.908, 1.171, 2.174
f.
2. Lakukan prediksi BB dengan variable independen TB, BTL, AK
a. Hitung SSReg (X₃|X₁,X₂)
b. Hitung SSRes
c. Hitung MSSReg (X₃|X₁,X₂)
d. Hitung MSSRes
e. Hitung nilai F parsial
f. Hitung nilai r²
g. Buktikan bahwa penambahan X₃ berperan dalam memprediksi Y.
BB
|
TB
|
BTL
|
AK
|
BB
|
TB
|
BTL
|
AK
|
79.2
|
149.0
|
54.1
|
2670.0
|
73.2
|
174.5
|
44.1
|
1850.0
|
64.0
|
152.0
|
44.3
|
820.0
|
66.5
|
176.1
|
48.3
|
1260.0
|
67.0
|
155.7
|
57.8
|
1210.0
|
61.9
|
176.5
|
43.5
|
1170.0
|
78.4
|
159.0
|
53.9
|
2678.0
|
72.5
|
179.0
|
43.3
|
1853.0
|
66.0
|
163.3
|
47.5
|
1205.0
|
101.1
|
182.0
|
66.4
|
1790.0
|
63.0
|
166.0
|
43.0
|
815.0
|
66.2
|
170.4
|
47.5
|
1250.0
|
65.9
|
169.0
|
47.1
|
1200.0
|
99.9
|
184.9
|
66.0
|
1889.0
|
63.1
|
172.0
|
44.0
|
1180.0
|
63.0
|
169.0
|
44.0
|
915.0
|
JAWAB:
SUMBER
|
df
|
SS
|
MS
|
F
|
r²
|
X₁
Regresi X₂|X₁
X₃|X₁,X₂
|
1
1
1
|
326.204
1563,795
169.413
|
326.204
1563.795
169.413
|
17.05
81.74
8.85
| |
Residual
|
12
|
229.543
|
19.129
| ||
Total
|
15
|
2288.954
|
a. SSReg (X₃|X₁,X₂)
Model 6 – model 4 = 229.543 – 398.956 = 19=69.413
b. SSres
229.543
c. MSSReg (X₃|X₁,X₂)
169.413
d. MSSRes
19.129
e. 17.05, 81.74, 8.85