Teladan Anova 2011

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Perlakuan FK = ### 1 2 3 4 JKT = 95.20 1 73 74 68 71 JKP = 84.80 2 73 74 69 71 JKS = 10.40 3 73 74 69 72 4 75 74 69 72 BNT = 1.08 5 75 75 70 73 BNJ = Jumlah 369 371 345 359 1444 Rata-rata ### ### ### ### FK = ### JKT = 95.20 JKP = 84.80 JKS = 10.40 3 4 1 2 ### ### ### ###

Transcript of Teladan Anova 2011

Page 1: Teladan Anova 2011

Perlakuan FK = 104,256.80 1 2 3 4 JKT = 95.20

1 73 74 68 71 JKP = 84.80 2 73 74 69 71 JKS = 10.40 3 73 74 69 724 75 74 69 72 BNT = 1.08 5 75 75 70 73 BNJ =

Jumlah 369 371 345 359 1444Rata-rata 73.80 74.20 69.00 71.80

FK = 104,256.80 JKT = 95.20 JKP = 84.80 JKS = 10.40

3 4 1 2 69.00 71.80 73.80 74.20

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Tabel Sidik Ragam Anova: Single Factor Sumber Keragaman db JK KT Fhit F(0.05;3,16)

Jenis Baterai 3 84.80 28.27 43.49 3.24 SUMMARY Galat Percobaan 16 10.40 0.65 Groups Count Total 19 95.20 1.00 5.00

2.00 5.00 3.00 5.00 4.00 5.00

ANOVA Source of Variation SS

Between Groups 84.80 Within Groups 10.40 Total 95.20

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Sum Average Variance 369.00 73.80 1.20 371.00 74.20 0.20 345.00 69.00 0.50 359.00 71.80 0.70

df MS F P-value F crit 3.00 28.27 43.49 0.00 3.24 16.00 0.65 19.00

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Perlakuan FK = 5,088.05 Tabel Sidik Ragam1 2 3 4 JKT = 414.95 Sumber Keragaman

1 12 14 6 9 JKP = 1.75 Makanan2 20 15 16 14 JKS = 413.20 Galat Percobaan3 23 10 16 18 Total4 10 19 20 19 BNT = 6.81 5 17 22 21 18 BNJ =

Jumlah 82 80 79 78 319Rata-rata 16.40 16.00 15.80 15.60

4 3 2 1 15.60 15.80 16.00 16.40

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db JK KT Fhit3 1.75 0.58 0.02

16 413.20 25.82 19 414.95

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Ulangan 0 10 20 30 40 p = 5 TSR1 20 25 36 35 43 n = 5 SK db2 25 29 37 39 40 FK = 27,955.84 Fertilisasi 43 23 31 29 31 36 JKT = 1,604.16 Galat Percobaan 204 27 30 40 42 48 JKP = 1,256.56 Total 245 19 27 33 44 47 JKS = 347.60

114 142 175 191 214 836.00 29,560.00 JK(L) = 1,240.02 TSR

JK(K) = 10.41 SK dbL -2 -1 0 1 2 JK(Lain) = 6.13 Fertilisasi 4K 2 -1 -2 -1 2 Linear 1C -1 2 0 -2 1 Kuadratik 1Q 1 -4 6 -4 1 Lainnya 2

Galat Percobaan 20Total 24

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JK KT Fhit 1,256.56 314.14 18.07 347.60 17.38 1,604.16

JK KT Fhit 1,256.56 314.14 1,240.02 1,240.02 71.35 10.41 10.41 0.60 6.13 3.06 347.60 17.38 1,604.16

p=2 p=3 p=4 p=5L L K L K C L K C Q

-1 -1 1 -3 1 -1 -2 2 -1 11 0 -2 -1 -1 3 -1 -1 2 -4

1 1 1 -1 -3 0 -2 0 63 1 1 1 -1 -2 -4

2 2 1 1

0 0 0 0 0 0 0 0 0 0

0 5 10152025303540 450

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A B C D AL BL CL DL AW BW CW DW TSRL 58 47 72 81 798 58 47 72 81 67 75 52 51 SK db

65 56 86 75 65 56 86 75 58 81 61 42 Komb Perl60 40 90 68 60 40 90 68 74 77 48 35 A 3

W 67 75 52 51 721 183 143 248 224 199 233 161 128 1519 B 158 81 61 42 AB 374 77 48 35 Galat Perc.

382 376 409 352 Total

A=Tidak Pernah MenikahB=Pernah MenikahC=Menikah KembaliD=Bercerai

y=skor kepuasan hidupx1=status keluargax2=jenis kelamin

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Anova: Two-Factor With Replication db JK KT Fhit p_value

7 4,464.29 637.76 13.04 SUMMARY 274.13 91.38 1.87 0.17570568 L 247.04 247.04 5.05 0.03908076 Count 3,943.13 1,314.38 26.87 0.00000174 Sum

16 782.67 48.92 Average 23 5,246.96 0.03908076 Variance

0.17570568 0.00000174 W

Count Sum Average Variance

Total Count Sum Average Variance

ANOVA Source of Variation

Sample Columns Interaction Within

Total

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A B C D Total

3.00 3.00 3.00 3.00 12.00 183.00 143.00 248.00 224.00 798.00 61.00 47.67 82.67 74.67 66.50 13.00 64.33 89.33 42.33 232.45

3.00 3.00 3.00 3.00 12.00 199.00 233.00 161.00 128.00 721.00 66.33 77.67 53.67 42.67 60.08 64.33 9.33 44.33 64.33 222.08

6.00 6.00 6.00 6.00 382.00 376.00 409.00 352.00 63.67 62.67 68.17 58.67 39.47 299.47 305.77 349.87

SS df MS F P-value F crit 247.04 1 247.04 5.05 0.04 4.49 274.13 3 91.38 1.87 0.18 3.24 3,943.13 3 1,314.38 26.87 0.00 3.24 782.67 16 48.92

5,246.96 23.00

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Ulangan 0 10 20 30 40 JKT = 1,604.16 TSR X1=X X2=X^21 20 25 36 35 43 JKP = 1,256.56 SK db JK KT Fhit Ftab 0 02 25 29 37 39 40 JKS = 347.60 Pemupukan 4 1,256.56 314.14 18.07 2.87 0 03 23 31 29 31 36 Galat Percobaan 20 347.60 17.38 0 04 27 30 40 42 48 Total 24 1,604.16 0 05 19 27 33 44 47 0 0

Jumlah 114 142 175 191 214 836 TSR 10 100Rata2 22.80 28.40 35.00 38.20 42.80 SK db JK KT Fhit 10 100

Pemupukan 4 1,256.56 314.14 18.07 2.87 10 100Linear -2 -1 0 1 2 Linear 1 1,240.02 1,240.02 71.35 4.35 10 100

Kuadratik 2 -1 -2 -1 2 Kuadratik 1 10.41 10.41 0.60 10 100Kubik -1 2 0 -2 1 Kubik 1 0.08 0.08 0.00 20 400

Kuartik 1 -4 6 -4 1 Kuartik 1 6.05 6.05 0.35 20 400Galat Percobaan 20 347.60 17.38 20 400

JKL 1,240.02 Total 24 1,604.16 20 400JKK 10.41 20 400

JKKu 0.08 30 900JKKua 6.05 30 900

30 90030 90030 90040 160040 160040 160040 160040 1600

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Y X1=X X2=X^2 Y SUMMARY OUTPUT 20 1 1 2025 1 1 25 Regression Statistics 23 1 1 23 Multiple R 0.8829 27 1 1 27 R Square 0.7795 19 1 1 19 Adjusted R Square 0.7594 25 2 4 25 Standard Error 4.0098 29 2 4 29 Observations 25.0000 31 2 4 3130 2 4 30 ANOVA 27 2 4 27 df SS MS F Significance F 36 3 9 36 Regression 2.0000 1,250.4343 625.2171 38.8854 0.0000 37 3 9 37 Residual 22.0000 353.7257 16.0784 29 3 9 29 Total 24.0000 1,604.1600 40 3 9 4033 3 9 33 Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% 35 4 16 35 Intercept 22.7086 1.6877 13.4557 0.0000 19.2086 26.2086 19.2086 26.2086 39 4 16 39 X1=X 0.6523 0.1999 3.2628 0.0036 0.2377 1.0669 0.2377 1.0669 31 4 16 31 X2=X^2 - 0.0039 0.0048 - 0.8048 0.4295 - 0.0138 0.0061 - 0.0138 0.0061 42 4 16 4244 4 16 44 SUMMARY OUTPUT 43 5 25 4340 5 25 40 Regression Statistics 36 5 25 36 Multiple R 0.8792 48 5 25 48 R Square 0.7730 47 5 25 47 Adjusted R Square 0.7631

Standard Error 3.9790 Observations 25.0000

ANOVA df SS MS F Significance F

Regression 1.0000 1,240.0200 1,240.0200 78.3228 0.0000 Residual 23.0000 364.1400 15.8322 Total 24.0000 1,604.1600

Coefficients Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 23.4800 1.3784 17.0348 0.0000 20.6287 26.3313 20.6287 26.3313 X1=X 0.4980 0.0563 8.8500 0.0000 0.3816 0.6144 0.3816 0.6144

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ulangan 1 2 3 4 5 FK = 573,921.88 Tabel Sidik Ragam1 57 67 95 102 123 JKT = 72,363.12 SK db JK KT F1

46 72 90 88 101 JKP = 65,246.84 Penyuburan 4 65,246.84 16,311.71 28 66 89 109 113 JKS1 = 1,832.94 Galat Percobaan 25 1,832.94 73.32 0.83 tn

2 26 44 92 96 93 JKS2 = 5,283.33 Galat Penarikan Contoh 60 5,283.33 88.06 38 68 89 89 110 Total 89 72,363.12 20 64 106 106 115

3 39 57 91 102 11239 61 82 93 104 SK db JK KT F243 61 98 98 112 Penyuburan 4 65,246.84 16,311.71 194.83 sn

4 23 74 105 103 120 Galat Percobaan 85 7,116.28 83.72 36 47 85 90 101 Total 89 - 18 69 85 105 111

5 48 61 78 99 11335 60 89 87 10948 75 95 113 111

6 50 68 85 117 12437 65 74 93 10219 61 80 107 118

650 1140 1608 1797 1992

131 205 274 299 337

84 176 287 291 318

121 179 271 293 328

77 190 275 298 332

131 196 262 299 333

106 194 239 317 344

43.67 68.33 91.33 99.67 112.33 FK = 191,307.29 SK db JK KT FhitPenyuburan 4 21,748.95 5,437.24 222.48 snGalat Percobaan 25 610.98 24.44

28.00 58.67 95.67 97.00 106.00 Total 29 22,359.93

40.33 59.67 90.33 97.67 109.33

25.67 63.33 91.67 99.33 110.67

43.67 65.33 87.33 99.67 111.00

35.33 64.67 79.67 105.67 114.67 216.67 380.00 536.00 599.00 664.00

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Hari Mesin

Jumlah FK = 2,172,064.05 TSR (RAL)

A B C D JKT = 18,628.95 SK db 1 293 308 323 333 1,257 JKP = 14,029.35 Perlakuan 3 2 298 353 343 363 1,357 JKS1 = 4,599.60 RAL Galat Percobaan 16 3 280 350 350 368 1,348 Total 19 4 288 358 365 345 1,356 JKK = 2,402.70 5 260 343 340 330 1,273 JKS2 = 2,196.90 RK TSR (RK Jumlah 1,419 1,712 1,721 1,739 6,591 Y(23) = 583 SK db

Kelompok 4

Hari Mesin

Jumlah FK = 1,947,504 Perlakuan 3

A B C D JKT = 120,689 Galat Percobaan 11 1 293 308 323 333 1,257 JKP = 23,409 Total 19 2 298 353 343 363 1,357 JKS1 = 97,280 RAL 3 280 350 368 998 4 288 358 365 345 1,356 JKK = 21,688 5 260 343 340 330 1,273 JKS2 = 75,592 RK Jumlah 1,419 1,362 1,721 1,739 6,241

Y23 = 350

Hari Mesin

Jumlah FK = 2,171,899 TSR (RK

A B C D JKT = 18,619 SK db 1 293 308 323 333 1,257 JKP = 14,023 Kelompok 4 2 298 353 343 363 1,357 JKS1 = 4,596 RAL Perlakuan 3 3 280 350 350 368 1,348 Galat Percobaan 11 4 288 358 365 345 1,356 JKK = 2,399 Total 18 5 260 343 340 330 1,273 JKS2 = 2,197 RK Jumlah 1,419 1,712 1,721 1,739 6,591

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JK KT Fhit Ftab 14,029.35 4,676.45 16.27 3.24 4,599.60 287.48 18,628.95

JK KT Fhit Ftab 2,402.70 600.68 2.79 3.26 13,444.80 4,481.60 3.49 2,369.70 215.43 18,217.20

JK KT Fhit Ftab 2,398.99 599.75 3.00 3.26 14,022.93 4,674.31 23.40 3.59 2,196.86 199.71 18,618.78

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ulangan 1 2 3 4 5 FK = 573,921.88 1 57 67 95 102 123 JKT = 72,363.12

46 72 90 88 101 JKP = 65,246.84 28 66 89 109 113 JKS1 = 1,832.94

2 26 44 92 96 93 JKS2 = 5,283.33 38 68 89 89 11020 64 106 106 115 p = 5

3 39 57 91 102 112 n = 6 39 61 82 93 104 m = 3 43 61 98 98 112

4 23 74 105 103 12036 47 85 90 10118 69 85 105 111

5 48 61 78 99 11335 60 89 87 10948 75 95 113 111

6 50 68 85 117 12437 65 74 93 10219 61 80 107 118

650 1140 1608 1797 1992

131 205 274 299 337

84 176 287 291 318

121 179 271 293 328

77 190 275 298 332

131 196 262 299 333

106 194 239 317 344

43.67 68.33 91.33 99.67 112.33 FK = 191,307.29

28.00 58.67 95.67 97.00 106.00

40.33 59.67 90.33 97.67 109.33

25.67 63.33 91.67 99.33 110.67

43.67 65.33 87.33 99.67 111.00

35.33 64.67 79.67 105.67 114.67 216.67 380.00 536.00 599.00 664.00

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Tabel Sidik RagamSK db JK KT F1Penyuburan 4 65,246.84 16,311.71 Galat Percobaan 25 1,832.94 73.32 0.83 tn Galat Penarikan Contoh 60 5,283.33 88.06 Total 89 72,363.12

SK db JK KT F2Penyuburan 4 65,246.84 16,311.71 194.83 snGalat Percobaan 85 7,116.28 83.72 Total 89 72,363.12

SK db JK KT FhitPenyuburan 4 21,748.95 5,437.24 222.48 snGalat Percobaan 25 610.98 24.44 Total 29 22,359.93

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1.69 0.6869529

2.48 6.1078E-42

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X = Temperatur (oC)Y = Per Cent of Impurities Sumber Keragaman

X X Y n 12 Regresi 200 1 6.4 JKX 36.0000 Galat Percobaan 200 1 5.6 JKY 124.0000 Total 200 1 6.0 JKXY 452.0000 210 2 7.5 JKX^2 136.0000 Sumber Keragaman 210 2 6.5 JKY^2 1,550.3000 Due to b0 220 3 8.3 Due to b1|b0 220 3 7.7 b1 2.8571 Galat Percobaan 230 4 11.7 b0 1.7619 Total 230 4 10.3 240 5 17.6 FK 1,281.3333 240 5 18.0 JKT 268.9667 240 5 18.4 JKR 228.5714 Sumber Keragaman

JKS 40.3952 Regresi Lack of Fit

JKS Murni 2.3000 Galat Percobaan Murni Total

Sumber Keragaman Due to b0 Due to b1|b0 Lack of Fit Galat Percobaan Total

X1 X2 Y X'X X'Y Sumber Keragaman X X^2 Y 12.0000 36.0000 136.0000 124.0000 Regresi

1 1 6.4 36.0000 136.0000 576.0000 452.0000 Lack of Fit 1 1 5.6 136.0000 576.0000 2,584.0000 1,920.0000 Galat Percobaan 1 1 6.0 Total 2 4 7.5 X'X-1 B 2 4 6.5 1.6868 - 1.2610 0.1923 8.4286 Sumber Keragaman 3 9 8.3 - 1.2610 1.0742 - 0.1731 - 3.1429 Due to b0 3 9 7.7 0.1923 - 0.1731 0.0288 1.0000 Due to b1|b0 4 16 11.7 Due to b2|b0,b1 4 16 10.3 8.4286 - 3.1429 1.0000 Lack of Fit 5 25 17.6 JKR JKR Galat Percobaan 5 25 18.0 1,544.5714 263.2381 Total 5 25 18.4

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db JK KT Fhit Ftab R2 1 228.5714 228.5714 56.5838 4.9646 0.8498 10 40.3952 4.0395 11 268.9667

db JK KT Fhit Ftab 1 1,281.3333 1,281.3333 1 228.5714 228.5714 56.5838 4.9646 10 40.3952 4.0395 12 1,550.3000

db JK KT Fhit Ftab 1 228.5714 228.5714 0.8498 3 38.0952 12.6984 38.6473 4.3468 7 2.3000 0.3286 11 268.9667

db JK KT Fhit Ftab 1 1,281.3333 1,281.3333 1 228.5714 228.5714 3 38.0952 12.6984 38.6473 4.3468 7 2.3000 0.3286 12 1,550.3000

db JK KT Fhit Ftab 2 263.2381 131.6190 0.9787 2 3.4286 1.7143 5.2174 4.7374 7 2.3000 0.3286 11 268.9667

db JK KT Fhit Ftab 1 1,281.3333 1,281.3333 1 228.5714 228.5714 695.6522 5.5914 1 34.6667 34.6667 105.5072 5.5914 2 3.4286 1.7143 5.2174 4.7374 7 2.3000 0.3286 12 1,550.3000

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X = Brinell Hardness Number

Y = Tensile Strength (1000 psi)

X Y n 14101 29.9 JKX 1,453.0000 102 33.7 JKY 515.4000 102 33.0 JKXY 53,572.1000 102 33.2 JKX^2 150,843.0000 102 33.9 JKY^2 19,142.0400 103 35.1

104 38.9 b1 1.9110 104 39.5 b0 - 161.5162 104 37.0

105 39.5 FK 18,974.0829 106 40.4 JKT 167.9571 106 39.9 JKR 154.6787 106 40.8 JKS 13.2785 106 40.6

JKS Murni 4.3842

X X2 Y X'X X'Y101 10201 29.9 14.0000 1,453.0000 150,843.0000 515.4000 102 10404 33.7 1,453.0000 150,843.0000 15,664,141.0000 53,572.1000 102 10404 33.0 150,843.0000 15,664,141.0000 1,627,083,123.0000 5,569,956.1000 102 10404 33.2

102 10404 33.9 X'X-1 B103 10609 35.1 1,623,236.1433 - 31,285.5592 150.7038 - 3,676.9046 104 10816 38.9 - 31,285.5592 603.0081 - 2.9048 69.6704 104 10816 39.5 150.7038 - 2.9048 0.0140 - 0.3264 104 10816 37.0 B' 105 11025 39.5 - 3,676.9045 69.6704 - 0.3264 106 11236 40.4 JKR JKR kor 106 11236 39.9 19,136.3756 162.2928 106 11236 40.8

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106 11236 40.6

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Sumber Keragaman db JK KT Fhit Ftab Regresi 1 154.6787 154.6787 139.7858 4.9646 Galat Percobaan 12 13.2785 1.1065 Total 13 167.9571

Sumber Keragaman db JK KT Fhit Ftab Due to b0 1 18,974.0829 18,974.0829 Due to b1|b0 1 154.6787 154.6787 139.7858 4.9646 Galat Percobaan 12 13.2785 1.1065 Total 14 19,142.0400

Sumber Keragaman db JK KT Fhit Ftab Regresi 1 154.6787 154.6787 Lack of Fit 5 8.8943 1.7789 2.8402 4.3468 Galat Percobaan 7 4.3842 0.6263 Total 13 167.9571

Sumber Keragaman db JK KT Fhit Ftab Due to b0 1 18,974.0829 18,974.0829 Due to b1|b0 1 154.6787 154.6787 Lack of Fit 5 8.8943 1.7789 2.8402 4.3468 Galat Percobaan 7 4.3842 0.6263 Total 14 19,142.0400

Sumber Keragaman db JK KT Fhit Ftab Regresi 2 162.2928 81.1464 Lack of Fit 4 1.2802 0.3201 0.5110 4.7374 Galat Percobaan 7 4.3842 0.6263 Total 13 167.9571

Sumber Keragaman db JK KT Fhit Ftab Due to b0 1 18,974.0829 18,974.0829 Due to b1|b0 1 154.6787 154.6787 246.9684 5.5914 Due to b2|b0,b1 1 7.6141 7.6141 12.1571 5.5914 Lack of Fit 4 1.2802 0.3201 0.5110 4.7374 Galat Percobaan 7 4.3842 0.6263 Total 14 19,142.0400

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R2 0.9209

0.9209

0.9663

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X Anova: Single Factor Y 1 2 3 4 5

20 25 36 25 21 SUMMARY 25 29 37 28 24 Groups Count Sum Average 23 31 29 31 26 1 5 114.0000 22.8000 27 30 40 27 25 2 5 142.0000 28.4000 19 27 33 31 22 3 5 175.0000 35.0000

4 5 142.0000 28.4000 5 5 118.0000 23.6000

ANOVA Source of Variation SS df MS Between Groups 475.3600 4 118.8400 Within Groups 182.4000 20 9.1200 Total 657.7600 24

Y X SUMMARY OUTPUT 20 125 1 Regression Statistics 23 1 Multiple R 0.04411 27 1 R Square 0.00195 19 1 Adjusted R Square - 0.04145 25 2 Standard Error 5.34253 29 2 Observations 25.00000 31 230 2 ANOVA 27 2 df SS MS 36 3 Regression 1 1.28000 1.28000 37 3 Residual 23 656.48000 28.54261 29 3 Total 24 657.76000 40 333 3 Coefficients Standard Error t Stat 25 4 Intercept 27.16000 2.50587 10.83856 28 4 X 0.16000 0.75555 0.21177 31 427 431 421 5 ANOVA dengan Uji Lack of Fit / Penyimpangan Terhadap Model 24 5 df SS MS 26 5 Regression 1 1.28000 1.28000 25 5 Residual 23 656.48000 28.54261 22 5 Lack of Fit 3 474.0800 158.0267

Residual Murni 20 182.4000 9.1200 Total 24 657.76000

Respon tidak linear, terjadi penyimpangan model

Y X X2 SUMMARY OUTPUT 20 1 1

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25 1 1 Regression Statistics 23 1 1 Multiple R 0.7935 27 1 1 R Square 0.6296 19 1 1 Adjusted R Square 0.5959 25 2 4 Standard Error 3.3277 29 2 4 Observations 25.0000 31 2 430 2 4 ANOVA 27 2 4 df SS MS 36 3 9 Regression 2 414.1371 207.0686 37 3 9 Residual 22 243.6229 11.0738 29 3 9 Total 24 657.7600 40 3 933 3 9 Coefficients Standard Error t Stat 25 4 16 Intercept 10.1600 3.1918 3.1831 28 4 16 X 14.7314 2.4324 6.0563 31 4 16 X2 - 2.4286 0.3977 - 6.1059 27 4 1631 4 1621 5 2524 5 2526 5 25 ANOVA dengan Uji Lack of Fit / Penyimpangan Terhadap Model 25 5 25 df SS MS 22 5 25 Regression 2 414.1371 207.0686

Residual 22 243.6229 11.0738 Lack of Fit 2 61.2229 30.6114 Residual Murni 20 182.4000 9.1200 Total 24 657.7600

Respon tidak kuadratik, terjadi penyimpangan model

Y X X2 X3 SUMMARY OUTPUT 20 1 1 125 1 1 1 Regression Statistics 23 1 1 1 Multiple R 0.7938 27 1 1 1 R Square 0.6301 19 1 1 1 Adjusted R Square 0.5773 25 2 4 8 Standard Error 3.4038 29 2 4 8 Observations 25.0000 31 2 4 830 2 4 8 ANOVA 27 2 4 8 df SS MS 36 3 9 27 Regression 3 414.4571 138.1524 37 3 9 27 Residual 21 243.3029 11.5859 29 3 9 27 Total 24 657.7600 40 3 9 2733 3 9 27 Coefficients Standard Error t Stat 25 4 16 64 Intercept 9.0400 7.4884 1.2072 28 4 16 64 X 16.3048 9.7884 1.6657 31 4 16 64 X2 - 3.0286 3.6331 - 0.8336 27 4 16 64 X3 0.0667 0.4011 0.1662 31 4 16 64

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21 5 25 12524 5 25 12526 5 25 125 ANOVA dengan Uji Lack of Fit / Penyimpangan Terhadap Model 25 5 25 125 df SS MS 22 5 25 125 Regression 3 414.4571 138.1524

Residual 21 243.3029 11.5859 Lack of Fit 1 60.9029 60.9029 Residual Murni 20 182.4000 9.1200 Total 24 657.7600

Respon tidak kubik, terjadi penyimpangan model

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Variance 11.2000 5.8000 17.5000 6.8000 4.3000

F P-value F crit 13.0307 0.0000 2.8661

F Significance F 0.04485 0.83415

P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% 0.00000 21.97622 32.34378 21.97622 32.34378 0.83415 - 1.40297 1.72297 - 1.40297 1.72297

F Significance F 0.04485 0.83415

17.3275 0.0000

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F Significance F 18.6990 0.0000

P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% 0.0043 3.5405 16.7795 3.5405 16.7795 0.0000 9.6869 19.7759 9.6869 19.7759 0.0000 - 3.2534 - 1.6037 - 3.2534 - 1.6037

F Significance F 18.6990 0.0000

3.3565 0.0553

F Significance F 11.9242 0.0001

P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% 0.2408 - 6.5329 24.6129 - 6.5329 24.6129 0.1106 - 4.0514 36.6609 - 4.0514 36.6609 0.4139 - 10.5841 4.5269 - 10.5841 4.5269 0.8696 - 0.7676 0.9009 - 0.7676 0.9009

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F Significance F 11.9242 0.0001

6.6779 0.0177

Page 31: Teladan Anova 2011

y x1 x2 y^ e SUMMARY OUTPUT - 19.0 3.5 5.5 - 15.1 -3.9 - 16.0 6.5 6.0 - 10.2 -5.8 Regression Statistics - 12.0 4.0 5.0 - 10.4 -1.6 Multiple R 0.9517 - 10.0 1.0 4.0 - 12.0 2.0 R Square 0.9057 - 9.0 5.0 5.0 - 7.6 -1.4 Adjusted R Square 0.8962 - 7.0 6.0 5.0 - 4.9 -2.1 Standard Error 2.9005 - 6.0 2.5 4.0 - 7.9 1.9 Observations 23.0000 - 4.0 3.0 4.0 - 6.5 2.5 - 3.0 1.5 3.0 - 4.0 1.0 ANOVA - 2.5 7.0 5.0 - 2.1 -0.4 df SS 1.0 4.5 4.0 - 2.3 3.3 Regression 2.0000 1,615.4967 1.0 2.5 3.0 - 1.2 2.2 Residual 20.0000 168.2529 3.0 1.5 2.0 2.7 0.3 Total 22.0000 1,783.7496 3.8 1.0 1.0 8.0 -4.2 4.0 5.5 4.0 0.4 3.6 Coefficients Standard Error 5.5 4.0 3.0 3.0 2.5 Intercept 11.9255 1.7154 7.0 6.5 4.0 3.2 3.8 x1 2.7707 0.3950 7.0 3.0 2.0 6.9 0.1 x2 - 6.6854 0.4825 8.0 4.5 2.5 7.7 0.3 8.7 2.5 1.0 12.2 -3.5 10.0 5.5 3.0 7.1 2.9 11.0 5.0 2.0 12.4 -1.4 14.0 4.0 1.0 16.3 -2.3

y x1 x2^2 y^ e SUMMARY OUTPUT - 19.0 3.5 30.3 - 18.3 -0.7 - 16.0 6.5 36.0 - 15.4 -0.6 Regression Statistics - 12.0 4.0 25.0 - 11.4 -0.6 Multiple R 0.9933 - 10.0 1.0 16.0 - 11.0 1.0 R Square 0.9867 - 9.0 5.0 25.0 - 8.5 -0.5 Adjusted R Square 0.9854 - 7.0 6.0 25.0 - 5.5 -1.5 Standard Error 1.0897 - 6.0 2.5 16.0 - 6.5 0.5 Observations 23.0000 - 4.0 3.0 16.0 - 5.1 1.1 - 3.0 1.5 9.0 - 2.3 -0.7 ANOVA - 2.5 7.0 25.0 - 2.6 0.1 df SS 1.0 4.5 16.0 - 0.6 1.6 Regression 2.0000 1,760.0008 1.0 2.5 9.0 0.7 0.3 Residual 20.0000 23.7488 3.0 1.5 4.0 2.9 0.1 Total 22.0000 1,783.7496 3.8 1.0 1.0 4.5 -0.7

0 1 2 3 4 5 6 7 8

-8

-6

-4

-2

0

2

4

6

x1 vs e

Page 32: Teladan Anova 2011

4.0 5.5 16.0 2.3 1.7 Coefficients Standard Error 5.5 4.0 9.0 5.1 0.4 Intercept 2.5962 0.5573 7.0 6.5 16.0 5.3 1.7 x1 2.9525 0.1492 7.0 3.0 4.0 7.3 -0.3 x2 - 1.0327 0.0268 8.0 4.5 6.3 9.4 -1.4 8.7 2.5 1.0 8.9 -0.2 10.0 5.5 9.0 9.5 0.5 11.0 5.0 4.0 13.2 -2.2 14.0 4.0 1.0 13.4 0.6

-20 -15 -10 -5 0 5 10 15 20

-8

-6

-4

-2

0

2

4

6

y vs e

0 1 2 3 4 5 6 7 8

-2.5

-2

-1.5

-1

-0.5

0

0.5

1

1.5

2

x1 vs e

Page 33: Teladan Anova 2011

0.4994

MS F Significance F 807.7483 96.0160 0.0000 8.4126

t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% 6.9519 0.0000 8.3472 15.5039 8.3472 15.5039 7.0140 0.0000 1.9467 3.5947 1.9467 3.5947 - 13.8571 0.0000 - 7.6918 - 5.6790 - 7.6918 - 5.6790

MS F Significance F 880.0004 741.0904 0.0000 1.1874

0 1 2 3 4 5 6 7 8

-8

-6

-4

-2

0

2

4

6

x1 vs e

0 1 2 3 4 5 6 7

-8

-6

-4

-2

0

2

4

6

x2 vs e

Page 34: Teladan Anova 2011

t Stat P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% 4.6585 0.0002 1.4337 3.7587 1.4337 3.7587 19.7857 0.0000 2.6412 3.2637 2.6412 3.2637 - 38.4980 0.0000 - 1.0886 - 0.9767 - 1.0886 - 0.9767

-20 -15 -10 -5 0 5 10 15 20

-8

-6

-4

-2

0

2

4

6

y vs e

0 1 2 3 4 5 6 7 8

-2.5

-2

-1.5

-1

-0.5

0

0.5

1

1.5

2

x1 vs e

0 5 10 15 20 25 30 35 40

-2.5

-2

-1.5

-1

-0.5

0

0.5

1

1.5

2

x2^2 vs e

-20 -15 -10 -5 0 5 10 15 20

-8

-6

-4

-2

0

2

4

6

y vs e

Page 35: Teladan Anova 2011

SUMMARY OUTPUT

Regression Statistics Multiple R 0.0074 R Square 0.0001 Adjusted R Square - 0.0476 Standard Error 9.2161 Observations 23.0000

ANOVA df SS MS F Significance F

Regression 1.0000 0.0984 0.0984 0.0012 0.9732 Residual 21.0000 1,783.6512 84.9358 Total 22.0000 1,783.7496

Coefficients Standard Error t Stat P-value Lower 95% Intercept - 0.3405 4.6690 - 0.0729 0.9426 - 10.0502 x1 0.0370 1.0874 0.0340 0.9732 - 2.2244

SUMMARY OUTPUT

Regression Statistics Multiple R 0.8208 R Square 0.6737 Adjusted R Square 0.6581 Standard Error 5.2650 Observations 23.0000

ANOVA df SS MS F Significance F

Regression 1.0000 1,201.6314 ### 43.3490 0.0000 Residual 21.0000 582.1181 27.7199 Total 22.0000 1,783.7496

Coefficients Standard Error t Stat P-value Lower 95% Intercept 16.9628 2.8279 5.9984 0.0000 11.0819 x2 - 4.9955 0.7587 - 6.5840 0.0000 - 6.5734

Page 36: Teladan Anova 2011

Upper 95% Lower 95.0% Upper 95.0% 9.3692 - 10.0502 9.3692 2.2985 - 2.2244 2.2985

Upper 95% Lower 95.0% Upper 95.0% 22.8436 11.0819 22.8436 - 3.4176 - 6.5734 - 3.4176

Page 37: Teladan Anova 2011

A B C D y x1 x2 x1x2 y x1 x2 L 58 47 72 81 58 1 1 1 y 1.0000

65 56 86 75 65 1 1 1 x1 -0.0718 1.0000 60 40 90 68 60 1 1 1 x2 -0.2170 - 1.0000

W 67 75 52 51 67 1 2 2 x1x2 -0.3478 0.7746 0.5774 58 81 61 42 58 1 2 274 77 48 35 74 1 2 2 y x1 x2

47 2 1 2 y 1A=Tidak Pernah Menikah 56 2 1 2 x1 -0.0718 1B=Pernah Menikah 40 2 1 2 x2 -0.217 0 1C=Menikah Kembali 75 2 2 4 x1x2 -0.3478 0.7746 0.57735D=Bercerai 81 2 2 4

77 2 2 4y=skor kepuasan hidup 72 3 1 3x1=status keluarga 86 3 1 3x2=jenis kelamin 90 3 1 3

52 3 2 6382 376 409 352 61 3 2 6

L 183 143 248 224 48 3 2 6W 199 233 161 128 81 4 1 4

75 4 1 468 4 1 451 4 2 842 4 2 835 4 2 8

Page 38: Teladan Anova 2011

x1x2 y vs x1 SUMMARY OUTPUT

Regression Statistics 1.0000 Multiple R 0.0718

R Square 0.0052 x1x2 Adjusted R Square - 0.0401

Standard Error 15.4035 Observations 24.0000

1 ANOVA df SS MS

Regression 1.0000 27.0750 27.0750 Residual 22.0000 5,219.8833 237.2674 Total 23.0000 5,246.9583

Coefficients Standard Error t Stat Intercept 65.6667 7.7017 8.5262 x1 - 0.9500 2.8123 - 0.3378

y vs x2 SUMMARY OUTPUT

Regression Statistics Multiple R 0.2170 R Square 0.0471 Adjusted R Square 0.0038 Standard Error 15.0754 Observations 24.0000

ANOVA df SS MS

Regression 1.0000 247.0417 247.0417 Residual 22.0000 4,999.9167 227.2689 Total 23.0000 5,246.9583

Coefficients Standard Error t Stat Intercept 72.9167 9.7312 7.4931 x2 - 6.4167 6.1545 - 1.0426

y vs x1 dan x2 SUMMARY OUTPUT

Regression Statistics Multiple R 0.2286 x1 R Square 0.0522 0.0052 Adjusted R Square - 0.0380 Standard Error 15.3884 Observations 24.0000

ANOVA df SS MS

Page 39: Teladan Anova 2011

Regression 2.0000 274.1167 137.0583 Residual 21.0000 4,972.8417 236.8020 Total 23.0000 5,246.9583

Coefficients Standard Error t Stat Intercept 75.2917 12.1656 6.1889 x1 - 0.9500 2.8095 - 0.3381 x2 - 6.4167 6.2823 - 1.0214

Page 40: Teladan Anova 2011

F Significance F 0.1141 0.7387

P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% 0.0000 49.6942 81.6391 49.6942 81.6391 0.7387 - 6.7823 4.8823 - 6.7823 4.8823

F Significance F 1.0870 0.3085

P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% 0.0000 52.7355 93.0978 52.7355 93.0978 0.3085 - 19.1804 6.3470 - 19.1804 6.3470

x2 x1 dan x2 0.0471 0.0522

F Significance F

Page 41: Teladan Anova 2011

0.5788 0.5693

P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% 0.0000 49.9920 100.5914 49.9920 100.5914 0.7386 - 6.7927 4.8927 - 6.7927 4.8927 0.3187 - 19.4814 6.6480 - 19.4814 6.6480

Page 42: Teladan Anova 2011

y x1 x2 x3 Statistik y vs x1 y vs x21 20 30 600 1 y x1 x22 20 30 600 1 16 90 800 880 b1 0.0542 0.0750 2 20 30 600 y 610 5280 5700 b0 2.9167 1.5000 3 20 30 600 x1 54400 44000 JKT 103.7500 103.7500 5 80 30 2400 x2 58400 JKR 42.2500 56.2500 5 80 30 2400 JKS 61.5000 47.5000 6 80 30 2400 R2 0.41 0.54 6 80 30 2400 Fhit 9.62 16.58 6 20 80 1600 F0.05 4.60 4.60 6 20 80 16006 20 80 1600 y vs x1, x26 20 80 1600 b2 0.0750 9 80 80 6400 b1 0.0542

10 80 80 6400 b0 - 1.2083 9 80 80 6400 JKT 103.7500 8 80 80 6400 JKR 98.5000

JKS 5.2500 y = skor tangkapan R2 0.9494 x1 = taraf keterampilan Fhit 121.9524 x2 = taraf motivasi F0.05 4.67

y x1 x2 y 1.0000 x1 0.6381 1.0000 x2 0.7363 - 1.0000

-

Page 43: Teladan Anova 2011

SUMMARY OUTPUT

Regression Statistics Multiple R 0.6381 R Square 0.4072 Adjusted R Square 0.3649 Standard Error 2.0959 Observations 16.0000

ANOVA df SS MS F Significance F

Regression 1.0000 42.2500 42.2500 9.6179 0.0078 Residual 14.0000 61.5000 4.3929 Total 15.0000 103.7500

Coefficients Standard Error t Stat P-value Lower 95% Intercept 2.9167 1.0184 2.8639 0.0125 0.7323 x1 0.0542 0.0175 3.1013 0.0078 0.0167

RESIDUAL OUTPUT

Observation Predicted y Residuals 1.0000 4.0000 - 3.0000 2.0000 4.0000 - 2.0000 3.0000 4.0000 - 2.0000 4.0000 4.0000 - 1.0000 5.0000 7.2500 - 2.2500 6.0000 7.2500 - 2.2500 7.0000 7.2500 - 1.2500 8.0000 7.2500 - 1.2500 9.0000 4.0000 2.0000 10.0000 4.0000 2.0000 11.0000 4.0000 2.0000 12.0000 4.0000 2.0000 13.0000 7.2500 1.7500 14.0000 7.2500 2.7500 15.0000 7.2500 1.7500 16.0000 7.2500 0.7500

SUMMARY OUTPUT

Regression Statistics Multiple R 0.7363 R Square 0.5422 Adjusted R Square 0.5095 Standard Error 1.8420 Observations 16.0000

10 20 30 40 50 60 70 80 90

-4

-2

0

2

4

x1 Residual Plot

x1R

esid

ual

s

10 20 30 40 50 60 70 80 9005

1015

x1 Line Fit Plot

y

Predicted y

Linear (Predicted y)

x1

y

Page 44: Teladan Anova 2011

ANOVA df SS MS F Significance F

Regression 1.0000 56.2500 56.2500 16.5789 0.0011 Residual 14.0000 47.5000 3.3929 Total 15.0000 103.7500

Coefficients Standard Error t Stat P-value Lower 95% Intercept 1.5000 1.1128 1.3479 0.1991 - 0.8868 x2 0.0750 0.0184 4.0717 0.0011 0.0355

RESIDUAL OUTPUT

Observation Predicted y Residuals 1.0000 3.7500 - 2.7500 2.0000 3.7500 - 1.7500 3.0000 3.7500 - 1.7500 4.0000 3.7500 - 0.7500 5.0000 3.7500 1.2500 6.0000 3.7500 1.2500 7.0000 3.7500 2.2500 8.0000 3.7500 2.2500 9.0000 7.5000 - 1.5000 10.0000 7.5000 - 1.5000 11.0000 7.5000 - 1.5000 12.0000 7.5000 - 1.5000 13.0000 7.5000 1.5000 14.0000 7.5000 2.5000 15.0000 7.5000 1.5000 16.0000 7.5000 0.5000

SUMMARY OUTPUT

Regression Statistics Multiple R 0.9744 R Square 0.9494 0.9494 Adjusted R Square 0.9416 Standard Error 0.6355 Observations 16.0000

ANOVA df SS MS F Significance F

Regression 2.0000 98.5000 49.2500 121.9524 0.0000 Residual 13.0000 5.2500 0.4038 Total 15.0000 103.7500

Coefficients Standard Error t Stat P-value Lower 95%

10 20 30 40 50 60 70 80 90

-2-1012

x1 Residual Plot

x1

Res

idu

als

Page 45: Teladan Anova 2011

Intercept - 1.2083 0.4664 - 2.5908 0.0224 - 2.2159 x1 0.0542 0.0053 10.2283 0.0000 0.0427 x2 0.0750 0.0064 11.8019 0.0000 0.0613

RESIDUAL OUTPUT

Observation Predicted y Residuals 1.0000 2.1250 - 1.1250 2.0000 2.1250 - 0.1250 3.0000 2.1250 - 0.1250 4.0000 2.1250 0.8750 5.0000 5.3750 - 0.3750 6.0000 5.3750 - 0.3750 7.0000 5.3750 0.6250 8.0000 5.3750 0.6250 9.0000 5.8750 0.1250 10.0000 5.8750 0.1250 11.0000 5.8750 0.1250 12.0000 5.8750 0.1250 13.0000 9.1250 - 0.1250 14.0000 9.1250 0.8750 15.0000 9.1250 - 0.1250 16.0000 9.1250 - 1.1250

SUMMARY OUTPUT

Regression Statistics Multiple R 0.9756 R Square 0.9518 Adjusted R Square 0.9398 Standard Error 0.6455 Observations 16.0000

ANOVA df SS MS F Significance F

Regression 3.0000 98.7500 32.9167 79.0000 0.0000 Residual 12.0000 5.0000 0.4167 Total 15.0000 103.7500

Coefficients Standard Error t Stat P-value Lower 95% Intercept - 1.6667 0.7580 - 2.1988 0.0482 - 3.3182 x1 0.0633 0.0130 4.8721 0.0004 0.0350 x2 0.0833 0.0125 6.6421 0.0000 0.0560 x3 - 0.0002 0.0002 - 0.7746 0.4536 - 0.0006

20 30 40 50 60 70 80 90

-2-1012

x2 Residual Plot

x2

Res

idu

als

Page 46: Teladan Anova 2011

Upper 95% Lower 95.0% Upper 95.0% 5.1010 0.7323 5.1010 0.0916 0.0167 0.0916

10 20 30 40 50 60 70 80 90

-4

-2

0

2

4

x1 Residual Plot

x1

Res

idu

als

10 20 30 40 50 60 70 80 9005

1015

x1 Line Fit Plot

y

Predicted y

Linear (Predicted y)

x1

y

20 30 40 50 60 70 80 90

-4-2024

x2 Residual Plot

x2

Res

idu

als

Page 47: Teladan Anova 2011

Upper 95% Lower 95.0% Upper 95.0% 3.8868 - 0.8868 3.8868 0.1145 0.0355 0.1145

Upper 95% Lower 95.0% Upper 95.0%

20 30 40 50 60 70 80 90

-4-2024

x2 Residual Plot

x2

Res

idu

als

20 30 40 50 60 70 80 9005

1015

x2 Line Fit Plot

y

Predicted y

x2

y

10 20 30 40 50 60 70 80 90

-2-1012

x1 Residual Plot

x1

Res

idu

als

Page 48: Teladan Anova 2011

- 0.2008 - 2.2159 - 0.2008 0.0656 0.0427 0.0656 0.0887 0.0613 0.0887

Upper 95% Lower 95.0% Upper 95.0% - 0.0152 - 3.3182 - 0.0152 0.0917 0.0350 0.0917 0.1107 0.0560 0.1107 0.0003 - 0.0006 0.0003

20 30 40 50 60 70 80 90

-2-1012

x2 Residual Plot

x2

Res

idu

als

Page 49: Teladan Anova 2011

20 30 40 50 60 70 80 90

-4-2024

x2 Residual Plot

x2

Res

idu

als

Page 50: Teladan Anova 2011

20 30 40 50 60 70 80 90

-4-2024

x2 Residual Plot

x2

Res

idu

als

20 30 40 50 60 70 80 9005

1015

x2 Line Fit Plot

y

Predicted y

x2

y

Page 51: Teladan Anova 2011

y x X'X X'Y Doolittle: 6.4 1 12.00 36.00 124.00 Perintah b0 5.6 1 36.00 136.00 452.00 (1) 12.0000 6.0 1 (2) 7.5 2 (X'X)-1 B (3) = (0) 12.0000 6.5 2 0.4048 - 0.1071 b0 1.7619 (4) = (3)/12.00 1 8.3 3 - 0.1071 0.0357 b1 2.8571 (5) = (2) - 36.00(4) 7.7 3 (6) = (5)/28.00 11.7 4 10.3 4 b1=2.8571 17.6 5 b0=10.3333-3xb1= 1.7619 18.0 5 18.4 5

y x x2 12 36 136 Perintah b0 6.4 1 1 36 136 576 (1) 12.0000 5.6 1 1 136 576 2584 (2) 6.0 1 1 (3) 7.5 2 4 1.6868 - 1.2610 0.1923 (4) = (1) 12.0000 6.5 2 4 - 1.2610 1.0742 - 0.1731 (5) 1.0000 8.3 3 9 0.1923 - 0.1731 0.0288 (6) 7.7 3 9 (7) 11.7 4 16 (8) 10.3 4 16 (9) 17.6 5 25 18.0 5 25 18.4 5 25

Page 52: Teladan Anova 2011

b1 Konstan 36.0000 124.0000 1 0 136.0000 452.0000 1 36.0000 124.0000 1.0000 - 3.0000 10.3333 0.0833 - 28.0000 80.0000 - 3.0000 1.0000 1 2.8571 - 0.1071 0.0357

0.4048 - 0.1071 0.0357

b1 b2 Konstan 36.0000 136.0000 124.0000 1 0 0 309.0000 136.0000 576.0000 452.0000 - 1 0 1,201.0000

2,584.0000 1,920.0000 - 0 1 5,217.0000 36.0000 136.0000 124.0000 1 - - 309.0000 3.0000 11.3333 10.3333 0.0833 - - 25.7500 28.0000 168.0000 80.0000 - 3.0000 1.0000 - 274.0000 1.0000 6.0000 2.8571 - 0.1071 0.0357 - 9.7857

34.6667 34.6667 6.6667 - 6.0000 1.0000 71.0000 1.0000 1.0000 0.1923 - 0.1731 0.0288 2.0481

1.0000 b2 - 3.1429 b1 8.4286 b0

1.6868 - 1.2610 1.0742 0.1923 - 0.1731 0.0288

Page 53: Teladan Anova 2011

X1 X2 X3 X4 X5 Y Perintah 15.57 2,463 472.9 18.0 4.45 566.5 (1) 44.02 2,048 1,339.8 9.5 6.92 696.8 (2) 20.42 3,940 620.3 12.8 4.28 1,033.1 (3) 18.74 6,505 568.3 36.7 3.90 1,603.6 (4) 49.20 5,723 1,497.6 35.7 5.50 1,611.4 (5) 44.92 11,520 1,365.8 24.0 4.60 1,613.3 (6) 55.48 5,779 1,687.0 43.3 5.62 1,854.2 (7) = Salin (1) 59.28 5,969 1,639.9 46.7 5.15 2,160.5 (8) = (7)/17.0000 94.39 8,461 2,872.3 78.7 6.18 2,305.6 (9) = (2) - 2520.6900 (8) 128.02 20,106 3,655.1 180.5 6.15 3,503.9 (10) = (9)/414 934.7290 96.00 13,313 2,912.0 60.9 5.88 3,571.9 (11) = (3) - 308 775 (8) - 49747…(10) 131.42 10,771 3,921.0 103.7 4.88 3,741.4 (12) = (11)/1279… 127.21 15,543 3,865.7 126.8 5.50 4,026.5 (13) = (4) - …(8) - … (10) - … (12) 252.90 36,194 7,684.1 157.7 7.00 10,343.8 (14) = (13)/… 409.20 34,703 12,446.3 169.4 10.78 11,732.2 (15) = (5) - (8) - (10) - (12) - (14) 463.70 39,204 14,098.4 331.4 7.05 15,414.9 (16) = (15)/… 510.22 86,533 15,524.0 371.6 6.35 18,854.4 (17) = (6) - ….

(18) = (17)…

X1 X2 X3 X4 X5 Y X1 1.0000 X2 0.9074 1.0000 X3 0.9999 0.9071 1.0000 X4 0.9357 0.9105 0.9332 1.0000 X5 0.6712 0.4466 0.6711 0.4629 1.0000 Y 0.9856 0.9452 0.9860 0.9404 0.5786 ###

0.9715 0.8934 0.9722 0.8843 0.3348

X1 x3 15.57 15.76 44.02 44.66 20.42 20.68 18.74 18.94 49.20 49.92 44.92 45.53 55.48 56.23 59.28 54.66 94.39 95.74 128.02 121.84 96.00 97.07 131.42 130.70 127.21 128.86 252.90 256.14 409.20 414.88 463.70 469.95 510.22 517.47

Page 54: Teladan Anova 2011

b0 b1 b2 b3 b4 b5 17.0000 2,520.6900 308,775.0000 76,170.5000 1,807.4000 100.1900

788,692.3259 95,531,465.6300 23,935,565.2310 528,262.4910 17,595.2859 12,852,480,795.0000 2,898,863,276.4000 66,290,660.5000 2,060,651.4300

726,492,611.6900 16,006,939.4700 532,371.9830 378,624.1000 11,918.4060

630.6213 17.0000 2,520.6900 308,775.0000 76,170.5000 1,807.4000 100.1900 1.0000 148.2759 18,163.2353 4,480.6176 106.3176 5.8935

414,934.7920 49,747,580.0565 12,641,317.1342 260,268.6612 2,739.5252 1.0000 119.8925 30.4658 0.6273 0.0066

1,279,764,815.6435 - 238,872.1361 2,258,161.9729 - 87,571.7142 1.0000 - 0.0002 0.0018 - 0.0001

73,940.1523 - 20,198.3117 - 19.2514 1.0000 - 0.2732 - 0.0003

13,709.4055 - 302.6691 1.0000 - 0.0221

9.3819 1.0000

1,962.9133 - 15.8612 0.0559 1.5899 - 4.2188 - 394.3057

17.0000 2,520.6900 308,775.0000 76,170.5000 1,807.4000 100.1900 2,520.6900 788,692.3259 95,531,465.6300 23,935,565.2310 528,262.4910 17,595.2859 308,775.0000 95,531,465.6300 12,852,480,795.0000 2,898,863,276.4000 66,290,660.5000 2,060,651.4300 76,170.5000 23,935,565.2310 2,898,863,276.4000 726,492,611.6900 16,006,939.4700 532,371.9830 1,807.4000 528,262.4910 66,290,660.5000 16,006,939.4700 378,624.1000 11,918.4060 100.1900 17,595.2859 2,060,651.4300 532,371.9830 11,918.4060 630.6213

2.78384419 0.10099344 - 0.00001618 - 0.00290213 - 0.01193163 - 0.53179500 0.10099344 0.02312577 0.00000022 - 0.00073128 - 0.00114563 - 0.02300116 - 0.00001618 0.00000022 0.00000000 - 0.00000001 - 0.00000005 0.00000327 - 0.00290213 - 0.00073128 - 0.00000001 0.00002319 0.00003473 0.00067058 - 0.01193163 - 0.00114563 - 0.00000005 0.00003473 0.00012490 0.00235321 - 0.53179500 - 0.02300116 0.00000327 0.00067058 0.00235321 0.10658851

Page 55: Teladan Anova 2011

X'Y 84,634.0000 1 0 0 0 0 0 26,670,884.1520 0 1 0 0 0 0 3,326,514,749.6000 0 0 1 0 0 0 809,633,874.6500 0 0 0 1 0 0 18,029,742.3900 0 0 0 0 1 0 580,333.8960 0 0 0 0 0 1 84,634.0000 1.0000 - - - - - 4,978.4706 0.0588 - - - - - 14,121,703.1249 - 148.2759 1.0000 - - - - 34.0335 - 0.0004 0.0000 - - - - 96,200,844.2814 - 386.0653 - 119.8925 1.0000 - - - 0.0752 - 0.0000 - 0.0000 0.0000 - - - 210,364.5209 36.6525 - 30.4882 0.0002 1.0000 - - 2.8451 0.0005 - 0.0004 0.0000 0.0000 - - 61,506.5367 - 2.6177 - 8.7442 - 0.0017 0.2732 1.0000 - 4.4864 - 0.0002 - 0.0006 - 0.0000 0.0000 0.0001 - - 3,699.3263 - 4.9892 - 0.2158 0.0000 0.0063 0.0221 1.0000 - 394.3057 - 0.5318 - 0.0230 0.0000 0.0007 0.0024 0.1066

b0 2.7838 b1 0.1010 0.0231 b2 - 0.0000 0.0000 0.0000 b3 - 0.0029 - 0.0007 - 0.0000 0.0000 b4 - 0.0119 - 0.0011 - 0.0000 0.0000 0.0001 b5 - 0.5318 - 0.0230 0.0000 0.0007 0.0024 0.1066

Page 56: Teladan Anova 2011

Memeriksa Masalah Kolinearitas Ganda (Detecting Multicollinearity) Matriks Ragam Peragam (dari data analysis dengan penyebut n, bukan n-1):i X1 X2 X3 X4 X5 Y X1

1 15.57 2,463 472.9 18.0 4.45 566.5 X1 24,407.93 2 44.02 2,048 1,339.8 9.5 6.92 696.8 X2 2,926,328.24 3 20.42 3,940 620.3 12.8 4.28 1,033.1 X3 743,606.89 4 18.74 6,505 568.3 36.7 3.90 1,603.6 X4 15,309.92 5 49.20 5,723 1,497.6 35.7 5.50 1,611.4 X5 161.15 6 44.92 11,520 1,365.8 24.0 4.60 1,613.3 Y 830,688.42 7 55.48 5,779 1,687.0 43.3 5.62 1,854.2 8 59.28 5,969 1,639.9 46.7 5.15 2,160.5 X19 94.39 8,461 2,872.3 78.7 6.18 2,305.6 X1 1

10 128.02 20,106 3,655.1 180.5 6.15 3,503.9 X2 0.90737954 11 96.00 13,313 2,912.0 60.9 5.88 3,571.9 X3 0.99990396 12 131.42 10,771 3,921.0 103.7 4.88 3,741.4 X4 0.93569134 13 127.21 15,543 3,865.7 126.8 5.50 4,026.5 X5 0.67119736 14 252.90 36,194 7,684.1 157.7 7.00 10,343.8 Y 0.98564674 15 409.20 34,703 12,446.3 169.4 10.78 11,732.2 16 463.70 39,204 14,098.4 331.4 7.05 15,414.9 Y vs X1,X2,X3,X4,X517 510.22 86,533 15,524.0 371.6 6.35 18,854.4 b0 1,962.9133

b1 - 15.8612 b2 0.0559 b3 1.5899 b4 - 4.2188 b5 - 394.3057 R2 0.9908 se 642.0787

X1 vs X2,X3,X4,X5b0 - 4.3671 b1 - 0.0000 b2 0.0316 b3 0.0495 b4 0.9946 R2 0.9999 se 1.8983

Predicting Hospital Workload (Statistics Business Problem Solving: H. Brightman and H. Schneider)X1 = LOAD, Average daily patient loadX2 = XRAY, Monthly X-ray exposuresX3 = BEDDAY, Monthly occupied bed daysX4 = POP, Eligible population in the area/1000X5 = STAY, Average length of patient's stay in daysY = HOURS, Monthly man-hours

Page 57: Teladan Anova 2011

Matriks Ragam Peragam (dari data analysis dengan penyebut n, bukan n-1): X2 X3 X4 X5 Y

426,125,165.71 89,138,856.61 22,658,925.01 1,968,378.18 465,215.95 10,968.56 14,169.23 4,909.35 74.50 2.36 105,252,205.51 25,318,898.87 531,273.80 4,796.53 29,100,657.36

X2 X3 X4 X5 Y

1 0.90714940 1 0.91046880 0.93316848 1 0.44664959 0.67110954 0.46286086 1 0.94517280 0.98599284 0.94035561 0.57858164 1

Y vs X1,X2,X3,X4,X5

X2 vs X1,X3,X4,X5 X3 vs X1,X2,X4,X5 X4 vs X1,X2,X3,X5 X5 vs X1,X2,X3,X4 14,760.3722 125.1652 95.5330 4.9892 - 198.3141 31.5391 9.1727 0.2158 10.0974 0.0005 0.0004 - 0.0000 48.2346 - 1.4979 - 0.2781 - 0.0063 - 2,980.0282 - 28.9212 - 18.8414 - 0.0221 0.8741 0.9999 0.9571 0.7663 8,719.1795 59.9505 25.8307 0.8842

Page 58: Teladan Anova 2011

SUMMARY OUTPUT

Regression Statistics Multiple R 0.8754 R Square 0.7663 Adjusted R Square 0.6884 Standard Error 0.8842 Observations 17.0000

ANOVA df SS MS F

Regression 4.0000 30.7667 7.6917 9.8381 Residual 12.0000 9.3819 0.7818 Total 16.0000 40.1486

Coefficients Standard Error t Stat P-value Intercept 4.9892 0.3195 15.6141 0.0000 X1 0.2158 0.1192 1.8109 0.0952 X2 - 0.0000 0.0000 - 1.0982 0.2937 X3 - 0.0063 0.0039 - 1.6337 0.1283 X4 - 0.0221 0.0076 - 2.9235 0.0128

Page 59: Teladan Anova 2011

X5 X1 4.45 15.57 6.92 44.02 4.28 20.42 3.90 18.74 5.50 49.20 4.60 44.92 5.62 55.48 5.15 59.28 6.18 94.39

Significance F 6.15 128.02 0.0009 5.88 96.00

4.88 131.42 5.50 127.21 7.00 252.90

Lower 95% Upper 95% Lower 95.0% Upper 95.0% 10.78 409.20 4.2930 5.6854 4.2930 5.6854 7.05 463.70 - 0.0438 0.4754 - 0.0438 0.4754 6.35 510.22 - 0.0001 0.0000 - 0.0001 0.0000 - 0.0147 0.0021 - 0.0147 0.0021 - 0.0385 - 0.0056 - 0.0385 - 0.0056

Page 60: Teladan Anova 2011

X2 X3 X4 2,463 472.9 18.0 2,048 1,339.8 9.5 3,940 620.3 12.8 6,505 568.3 36.7 5,723 1,497.6 35.7 11,520 1,365.8 24.0 5,779 1,687.0 43.3 5,969 1,639.9 46.7 8,461 2,872.3 78.7 20,106 3,655.1 180.5 13,313 2,912.0 60.9 10,771 3,921.0 103.7 15,543 3,865.7 126.8 36,194 7,684.1 157.7 34,703 12,446.3 169.4 39,204 14,098.4 331.4 86,533 15,524.0 371.6

Page 61: Teladan Anova 2011

Memilih peubah yang tidak berkolinearitas Matriks Ragam Peragam (dari data analysis dengan penyebut n, bukan n-1):i X1 X2 X3 X4 X5 Y X1

1 15.57 2,463 472.9 18.0 4.45 566.5 X1 24,407.93 2 44.02 2,048 1,339.8 9.5 6.92 696.8 X2 2,926,328.24 3 20.42 3,940 620.3 12.8 4.28 1,033.1 X3 743,606.89 4 18.74 6,505 568.3 36.7 3.90 1,603.6 X4 15,309.92 5 49.20 5,723 1,497.6 35.7 5.50 1,611.4 X5 161.15 6 44.92 11,520 1,365.8 24.0 4.60 1,613.3 Y 830,688.42 7 55.48 5,779 1,687.0 43.3 5.62 1,854.2 8 59.28 5,969 1,639.9 46.7 5.15 2,160.5 X19 94.39 8,461 2,872.3 78.7 6.18 2,305.6 X1 1

10 128.02 20,106 3,655.1 180.5 6.15 3,503.9 X2 0.90737954 11 96.00 13,313 2,912.0 60.9 5.88 3,571.9 X3 0.99990396 12 131.42 10,771 3,921.0 103.7 4.88 3,741.4 X4 0.93569134 13 127.21 15,543 3,865.7 126.8 5.50 4,026.5 X5 0.67119736 14 252.90 36,194 7,684.1 157.7 7.00 10,343.8 Y 0.98564674 15 409.20 34,703 12,446.3 169.4 10.78 11,732.2 0.97149950140261616 463.70 39,204 14,098.4 331.4 7.05 15,414.9 Y vs X1,X2,X3,X4,X517 510.22 86,533 15,524.0 371.6 6.35 18,854.4 b0 1,962.9133

b1 - 15.8612 b2 0.0559 b3 1.5899 b4 - 4.2188 b5 - 394.3057 R2 0.990833 se 642.0787

Y vs X2,X3,X4,X5b0 2,032.1816 b2 0.0561 b3 1.0884 b4 - 5.0046 b5 - 410.0815 R2 0.990811 se 615.4805

Y vs X2,X3,X5b0 1,523.3276 b2 0.0530 b3 0.9785 b5 - 320.9395 R2 0.990068 se 614.7763

Y vs X2,X3b0 - 68.3192 b2 0.0749 b3 0.8229 R2 0.986715 se 685.1598

Page 62: Teladan Anova 2011

Matriks Ragam Peragam (dari data analysis dengan penyebut n, bukan n-1): X2 X3 X4 X5 Y

426,125,165.71 89,138,856.61 22,658,925.01 1,968,378.18 465,215.95 10,968.56 14,169.23 4,909.35 74.50 2.36 105,252,205.51 25,318,898.87 531,273.80 4,796.53 29,100,657.36

X2 X3 X4 X5 Y

1 0.90714940 1 0.91046880 0.93316848 1 0.44664959 0.67110954 0.46286086 1 0.94517280 0.98599284 0.94035561 0.57858164 10.8933516164426 0.9721818894983

t Stat P-value 1.8323 0.0941 - 0.1624 0.8739 t<1, tanda terbalik 2.6310 0.0234 0.5143 0.6172 - 0.5879 0.5684 - 1.8810 0.0867

t Stat P-value 2.1572 0.0520 2.7546 0.0175 7.0952 0.0000 - 0.9850 0.3441 t<1, tanda terbalik- 2.3028 0.0400

t Stat P-value 1.9359 0.0749 2.6372 0.0205 9.3053 0.0000 - 2.0950 0.0563 tanda terbalik

t Stat P-value - 0.2991 0.7693 3.9135 0.0016 9.9191 0.0000

Page 63: Teladan Anova 2011

SUMMARY OUTPUT

Regression Statistics Multiple R 0.9933 R Square 0.9867 Adjusted R Square 0.9848 Standard Error 685.1598 Observations 17.0000

ANOVA df SS MS

Regression 2.0000 488,138,960.3671 244,069,480.1836 Residual 14.0000 6,572,214.7082 469,443.9077 Total 16.0000 494,711,175.0753

Coefficients Standard Error t Stat Intercept - 68.3192 228.4431 - 0.2991 X2 0.0749 0.0191 3.9135 X3 0.8229 0.0830 9.9191

Page 64: Teladan Anova 2011

F Significance F 519.9119 0.0000

P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% 0.7693 - 558.2813 421.6430 - 558.2813 421.6430 0.0016 0.0338 0.1159 0.0338 0.1159 0.0000 0.6449 1.0008 0.6449 1.0008

Page 65: Teladan Anova 2011

X1 X2 X3 X5 X4 15.57 2,463 472.9 4.45 18.0 44.02 2,048 1,339.8 6.92 9.5 20.42 3,940 620.3 4.28 12.8 18.74 6,505 568.3 3.90 36.7 49.20 5,723 1,497.6 5.50 35.7 44.92 11,520 1,365.8 4.60 24.0 55.48 5,779 1,687.0 5.62 43.3 59.28 5,969 1,639.9 5.15 46.7 94.39 8,461 2,872.3 6.18 78.7 128.02 20,106 3,655.1 6.15 180.5 96.00 13,313 2,912.0 5.88 60.9 131.42 10,771 3,921.0 4.88 103.7 127.21 15,543 3,865.7 5.50 126.8 252.90 36,194 7,684.1 7.00 157.7 409.20 34,703 12,446.3 10.78 169.4 463.70 39,204 14,098.4 7.05 331.4 510.22 86,533 15,524.0 6.35 371.6

Page 66: Teladan Anova 2011

Memeriksa Kolinearitas Ganda Matriks Ragam Peragam (dari data analysis dengan penyebut n, bukan n-1):i X1 X2 X3 X4 X5 X6 Y X1 X2 X3

1 52.4 1 22 16 1 1 58 X1 502.2951 2 49.7 13 53 16 1 0 51 X2 38.2833 27.1333 3 100.5 17 43 14 1 1 76 X3 128.5257 25.2667 125.4900 4 37.9 17 36 18 1 1 45 X4 16.7661 0.9667 7.0833 5 65.9 15 34 17 1 1 64 X5 1.3212 - 0.1333 - 0.4433 6 43.2 6 48 17 0 1 49 X6 3.6154 1.4000 1.2767 7 29.4 5 29 14 1 1 40 Y 259.5529 15.5000 32.3067 8 95.1 13 53 16 0 1 629 25.8 1 22 12 1 0 29 X1 X2 X3

10 76.0 4 43 18 0 0 66 X1 111 45.5 8 50 14 1 0 45 X2 0.3279 112 98.8 14 62 16 1 1 61 X3 0.5119 0.4330 113 37.0 4 43 16 1 0 43 X4 0.4222 0.1047 0.3569 14 51.9 17 62 16 0 1 36 X5 0.1190 - 0.0517 - 0.0799 15 90.3 10 52 17 1 1 69 X6 0.3255 0.5424 0.2300 16 47.1 10 52 14 0 0 43 Y 0.8746 0.2247 0.2178 17 80.2 6 48 19 1 0 5818 75.0 8 50 18 0 0 59 Y vs X1,…,X6 t Stat P-value 19 36.0 15 34 16 0 1 36 b0 15.7144 1.6220 0.1184 20 40.0 2 38 17 0 0 38 b1 0.5749 9.7523 0.0000 21 90.9 12 46 19 1 1 80 b2 0.1460 0.5635 0.5785 22 27.3 3 25 14 0 0 41 b3 - 0.4193 - 3.5444 0.0017 23 75.6 2 38 16 1 0 68 b4 1.2112 1.8285 0.0805 24 70.9 17 36 14 0 1 67 b5 0.8822 0.4100 0.6856 25 31.3 9 30 12 0 0 33 b6 - 0.6660 - 0.2593 0.7977 26 33.4 12 32 16 1 0 42 R2 0.8587 27 58.4 5 29 17 0 0 57 se 5.6839 28 53.2 3 25 14 1 0 5429 60.1 9 30 16 1 0 54 X1 vs X2,…,X6 X2 vs X1,…,X6 X3 vs X1,…,X630 62.9 12 32 16 0 0 68 b0 - 31.3924 5.5111 6.4401

b1 0.2809 0.0145 0.1825 b2 0.7349 0.1519 0.7291 b3 3.2361 - 0.3247 1.1710 b4 5.8952 - 0.7353 - 2.3431 b5 6.9636 4.9446 - 2.1063 R2 0.3831 0.4091 0.3867 se 19.6805 4.4767 9.8083

Tidak ada masalah kolinearitas

Job Satisfaction DataX1 = SALARY, in thousands of dollarX2 = YEARS, with the companyX3 = AGEX4 = EDUC, years of formal educationX5 = GENDER, 1 = male, 0 = femaleX6 = MANAG, management (1 = yes, 0 = no)Y = JOBSAT, Job Satisfaction

Page 67: Teladan Anova 2011

Matriks Ragam Peragam (dari data analysis dengan penyebut n, bukan n-1): SUMMARY OUTPUT X4 X5 X6 Y

Regression Statistics Multiple R R Square

3.1389 Adjusted R Square 0.0278 0.2456 Standard Error 0.1389 0.0211 0.2456 Observations 10.5444 1.1622 1.7711 175.3289

ANOVA X4 X5 X6 Y

Regression Residual Total

1 0.0316 1 0.1582 0.0860 1 Intercept 0.4495 0.1771 0.2699 1 X1

X2 X3 X4 X5

X4 vs X1,...,X6 X5 vs X1,…,X6 X6 vs X1,…,X5 13.1868 0.6492 - 0.3945 0.0256 0.0044 0.0037 - 0.0497 - 0.0107 0.0503 0.0373 - 0.0071 - 0.0045 - 0.0083 - 0.0008 0.0185 0.2782 0.1189 0.0834 0.2181 0.0525 0.3354 1.7515 0.5393 0.4517

Page 68: Teladan Anova 2011

Regression Statistics 0.5791 0.3354 0.1969 0.4517 30.0000

df SS MS F Significance F 5.0000 2.4706 0.4941 2.4221 0.0651 24.0000 4.8961 0.2040 29.0000 7.3667

Coefficients Standard Error t Stat P-value Lower 95% - 0.3945 0.7656 - 0.5153 0.6111 - 1.9747 0.0037 0.0046 0.7931 0.4355 - 0.0059 0.0503 0.0178 2.8199 0.0095 0.0135 - 0.0045 0.0094 - 0.4774 0.6374 - 0.0238 0.0185 0.0525 0.3523 0.7277 - 0.0899 0.0834 0.1701 0.4903 0.6284 - 0.2677

Page 69: Teladan Anova 2011

X1 X2 X3 X4 X5 X6 52.4 1 22 16 1 149.7 13 53 16 1 0

100.5 17 43 14 1 137.9 17 36 18 1 165.9 15 34 17 1 143.2 6 48 17 0 129.4 5 29 14 1 195.1 13 53 16 0 125.8 1 22 12 1 076.0 4 43 18 0 045.5 8 50 14 1 098.8 14 62 16 1 137.0 4 43 16 1 051.9 17 62 16 0 1

Upper 95% Lower 95.0% Upper 95.0% 90.3 10 52 17 1 1 1.1857 - 1.9747 1.1857 47.1 10 52 14 0 0 0.0132 - 0.0059 0.0132 80.2 6 48 19 1 0 0.0872 0.0135 0.0872 75.0 8 50 18 0 0 0.0148 - 0.0238 0.0148 36.0 15 34 16 0 1 0.1269 - 0.0899 0.1269 40.0 2 38 17 0 0 0.4345 - 0.2677 0.4345 90.9 12 46 19 1 1

27.3 3 25 14 0 075.6 2 38 16 1 070.9 17 36 14 0 131.3 9 30 12 0 033.4 12 32 16 1 058.4 5 29 17 0 053.2 3 25 14 1 060.1 9 30 16 1 062.9 12 32 16 0 0

Page 70: Teladan Anova 2011

Memilih Peubah Matriks Ragam Peragam (dari data analysis dengan penyebut n, bukan n-1):i X1 X2 X3 X4 X5 X6 Y X1 X2 X3

1 52.4 1 22 16 1 1 58 X1 502.2951 2 49.7 13 53 16 1 0 51 X2 38.2833 27.1333 3 100.5 17 43 14 1 1 76 X3 128.5257 25.2667 125.4900 4 37.9 17 36 18 1 1 45 X4 16.7661 0.9667 7.0833 5 65.9 15 34 17 1 1 64 X5 1.3212 - 0.1333 - 0.4433 6 43.2 6 48 17 0 1 49 X6 3.6154 1.4000 1.2767 7 29.4 5 29 14 1 1 40 Y 259.5529 15.5000 32.3067 8 95.1 13 53 16 0 1 629 25.8 1 22 12 1 0 29 X1 X2 X3

10 76.0 4 43 18 0 0 66 X1 111 45.5 8 50 14 1 0 45 X2 0.3279 112 98.8 14 62 16 1 1 61 X3 0.5119 0.4330 113 37.0 4 43 16 1 0 43 X4 0.4222 0.1047 0.3569 14 51.9 17 62 16 0 1 36 X5 0.1190 - 0.0517 - 0.0799 15 90.3 10 52 17 1 1 69 X6 0.3255 0.5424 0.2300 16 47.1 10 52 14 0 0 43 Y 0.8746 0.2247 0.2178 17 80.2 6 48 19 1 0 5818 75.0 8 50 18 0 0 59 Y vs X1,…,X6 t Stat P-value 19 36.0 15 34 16 0 1 36 b0 15.7144 1.6220 0.1184 20 40.0 2 38 17 0 0 38 b1 0.5749 9.7523 0.0000 21 90.9 12 46 19 1 1 80 b2 0.1460 0.5635 0.5785 22 27.3 3 25 14 0 0 41 b3 - 0.4193 - 3.5444 0.0017 23 75.6 2 38 16 1 0 68 b4 1.2112 1.8285 0.0805 24 70.9 17 36 14 0 1 67 b5 0.8822 0.4100 0.6856 25 31.3 9 30 12 0 0 33 b6 - 0.6660 - 0.2593 0.7977 26 33.4 12 32 16 1 0 42 R2 0.8587 27 58.4 5 29 17 0 0 57 se 5.6839 28 53.2 3 25 14 1 0 5429 60.1 9 30 16 1 0 54 Y vs X1,…,X5 t Stat P-value 30 62.9 12 32 16 0 0 68 b0 15.9771 1.6914 0.1037

b1 0.5725 10.0343 0.0000 b2 0.1125 0.5110 0.6140 b3 - 0.4163 - 3.6067 0.0014 b4 1.1989 1.8509 0.0765 b5 0.8266 0.3939 0.6972 R2 0.8583 se 5.5724

Y vs X1,…,X4 t Stat P-value b0 16.4800 1.7914 0.0853 b1 0.5765 10.4526 0.0000 b2 0.1086 0.5023 0.6199 b3 - 0.4227 - 3.7623 0.0009 b4 1.2000 1.8848 0.0711 R2 0.8574 se 5.4774

Y vs X1,X3,X4 t Stat P-value b0 16.9674 1.8820 0.0711 b1 0.5811 10.8332 0.0000 b3 - 0.4035 - 3.8748 0.0006

Page 71: Teladan Anova 2011

b4 1.1662 1.8691 0.0729 R2 0.8560 se 5.3981

Y vs X1,X4 t Stat P-value b0 12.9341 1.1718 0.2515 b1 0.4924 8.2354 0.0000 b4 0.7292 0.9641 0.3435 R2 0.7728 se 6.6531

Y vs X1 t Stat P-value b0 23.0668 6.8475 0.0000 b1 0.5167 9.5462 0.0000 R2 0.7650 se 6.6447

Page 72: Teladan Anova 2011

Matriks Ragam Peragam (dari data analysis dengan penyebut n, bukan n-1): SUMMARY OUTPUT X4 X5 X6 Y

Regression Statistics Multiple R R Square

3.1389 Adjusted R Square 0.0278 0.2456 Standard Error 0.1389 0.0211 0.2456 Observations 10.5444 1.1622 1.7711 175.3289

ANOVA X4 X5 X6 Y

Regression Residual Total

1 0.0316 1 0.1582 0.0860 1 Intercept 0.4495 0.1771 0.2699 1 X1

X4

t<1," tanda terbalik"

t<1

t<1

"tanda terbalik"

Page 73: Teladan Anova 2011

t<1

Page 74: Teladan Anova 2011

Regression Statistics 0.8791 0.7728 0.7560 6.6531 30.0000

df SS MS F Significance F 2.0000 4,064.7386 2,032.3693 45.9147 0.0000 27.0000 1,195.1280 44.2640 29.0000 5,259.8667

Coefficients Standard Error t Stat P-value Lower 95% 12.9341 1.1718 0.2515 0.2515 - 9.7134 0.4924 8.2354 0.0000 0.0000 0.3697 0.7292 0.9641 0.3435 0.3435 - 0.8227

Page 75: Teladan Anova 2011

X2 X3 X1 X4 X5 X6 1 22 52.4 16 1 1

13 53 49.7 16 1 017 43 100.5 14 1 117 36 37.9 18 1 115 34 65.9 17 1 1

6 48 43.2 17 0 15 29 29.4 14 1 1

13 53 95.1 16 0 11 22 25.8 12 1 04 43 76.0 18 0 08 50 45.5 14 1 0

14 62 98.8 16 1 14 43 37.0 16 1 0

17 62 51.9 16 0 1 Upper 95% Lower 95.0% Upper 95.0% 10 52 90.3 17 1 1

35.5815 - 9.7134 35.5815 10 52 47.1 14 0 0 0.6151 0.3697 0.6151 6 48 80.2 19 1 0 2.2811 - 0.8227 2.2811 8 50 75.0 18 0 0

15 34 36.0 16 0 12 38 40.0 17 0 0

12 46 90.9 19 1 13 25 27.3 14 0 02 38 75.6 16 1 0

17 36 70.9 14 0 19 30 31.3 12 0 0

12 32 33.4 16 1 05 29 58.4 17 0 03 25 53.2 14 1 09 30 60.1 16 1 0

12 32 62.9 16 0 0

Page 76: Teladan Anova 2011

H0: B1=B2; X = Umur; Y = Cholesterol(1) (2)

X Y X Y Sumber Keragaman db JKX JKXY 46 181 18 137 Regresi 1 n1-1 JKX1 JKX1Y1 52 228 44 173 Regresi 2 n2-1 JKX2 JKX2Y2 39 182 33 177 Regresi Terpisah - - - 65 249 78 241 Regresi Sejajar JKX1+JKX2 JKX1Y1+JKX2Y2 54 259 51 225 33 201 43 223 49 121 44 190 Sumber Keragaman db JKX JKXY 76 339 58 257 Regresi 1 10 1,828.9091 5,922.2727 71 224 63 337 Regresi 2 18 5,564.9474 14,026.1053 41 112 19 189 Regresi Terpisah - - - 58 189 42 214 Regresi Sejajar 29 7,393.8565 19,948.3780

30 140 Beda JX 584 47 196 JX2 32,834 58 262 Fhit 0.38 JY 2,285 70 261 Ftab(1,26) 4.23 JY2 515,355 67 356 JXY 127,235 31 159 Fhit 0.1904673079458 n 11 21 191 3.37

56 197

JX 873 JX2 45,677 JY 4,125 JY2 957,785 JXY 203,559 n 19

X Y 46 181 52 228 39 182 65 249 54 259 33 201 49 121 76 339 71 224 41 112 58 189 18 137 44 173

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33 177 78 241 51 225 43 223 44 190 58 257 63 337 19 189 42 214 30 140 47 196 58 262 70 261 67 356 31 159 21 191 56 197

JX 1,457 JX2 78,511 JY 6,410 JY2 1,473,140 JXY 330,794 n 30

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(3) (4)b1 JKY JKR dbR JKS dbSb11 JKY1 JKR1 1 JKS1 n1-2b12 JKY2 JKR2 1 JKS2 n2-2

- JKR1+JKR2 2 JKS1+JKS2 n1+n2-4JKY1+JKY2 JKR 1 JKS n1+n2-3

b2 JKY JKR dbR JKS dbS KTS

3.24 40,698.1818 19,177.1775 1 21,521.0043 9 2.52 62,225.7895 35,351.9298 1 26,873.8596 17

- 54,529.1073 2 48,394.8640 26 1861.34092

2.70 102,923.9713 53,820.0581 1 49,103.9132 28 709.05 2 354.524595

gagal tolak H0

gagal tolak H0

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X1 X2 X3 X4 Y Matriks Ragam Peragam (dari data analysis dengan penyebut n, bukan n-1): 38.4 6.1 220 235 6.9 X1 X2 40.3 4.8 231 307 14.4 X1 30.7656 40.0 6.1 217 212 7.4 X2 8.8759 6.6490 31.8 0.2 316 365 8.5 X3 - 143.4969 - 86.3438 40.8 3.5 210 218 8.0 X4 - 122.5016 - 52.7545 41.3 1.8 267 235 2.8 Y 14.4192 10.4517 38.1 1.2 274 285 5.0 50.8 8.6 190 205 12.2 32.2 5.2 236 267 10.0 X1 X2 38.4 6.1 220 300 15.2 X1 1.0000 40.3 4.8 231 367 26.8 X2 0.6206 1.0000 32.2 2.4 284 351 14.0 X3 - 0.7002 - 0.9062 31.8 0.2 316 379 14.7 X4 - 0.3217 - 0.2980 41.3 1.8 267 275 6.4 Y 0.2463 0.3841 38.1 1.2 274 365 17.6 50.8 8.6 190 275 22.3 32.2 5.2 236 360 24.8 Y vs X1,X2,X3,X4 38.4 6.1 220 365 26.0 b0 - 6.8208 40.3 4.8 231 395 34.9 b1 0.2272 40.0 6.1 217 272 18.2 b2 0.5537 32.2 2.4 284 424 23.2 b3 - 0.1495 31.8 0.2 316 428 18.0 b4 0.1547 40.8 3.5 210 273 13.1 41.3 1.8 267 358 16.1 R2 0.9622 38.1 1.2 274 444 32.1 50.8 8.6 190 345 34.7 32.2 5.2 236 402 31.7 X1 vs X2,X3,X4 X2 vs X1,X3,X4 38.4 6.1 220 410 33.6 b0 67.6906 19.5996 40.0 6.1 217 340 30.4 b1 - 0.1364 - 0.0100 40.8 3.5 210 347 26.6 b2 - 0.1116 - 0.0669 41.3 1.8 267 416 27.8 b3 - 0.0027 0.0034 50.8 8.6 190 407 45.7

R2 0.4922 0.8284 X1 = Crude Oil Gravity (oAPI)X2 = Crude Oil Vapor Pressure (PSIA)X3 = Vrude Oil ASTM 10% Point (oF)X4 = Gasoline end Point (oF) Pilih ModelY = Gasoline Yield (Per Cent of Crude Oil) Coefficients Standard Error

Intercept - 6.8208 10.1232 X1 0.2272 0.0999 X2 0.5537 0.3698 X3 - 0.1495 0.0292 X4 0.1547 0.0064

Coefficients Standard Error Intercept 4.0320 7.2233 X1 0.2217 0.1021 X3 - 0.1866 0.0159 X4 0.1565 0.0065

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Matriks Ragam Peragam (dari data analysis dengan penyebut n, bukan n-1): SUMMARY OUTPUT X3 X4 Y

Regression Statistics Multiple R 0.9793

1,365.3125 R Square 0.9590 1,045.8281 4,713.8350 Adjusted R Square 0.9546 - 122.8453 515.5569 111.3774 Standard Error 2.2835

Observations 32.0000

X3 X4 Y ANOVA df

Regression 3.0000 1.0000 Residual 28.0000 0.4122 1.0000 Total 31.0000 - 0.3150 0.7115 1.0000

Coefficients Intercept 4.0320 X1 0.2217 X3 - 0.1866 X4 0.1565

Y X1 X3 vs X1,X2,X4 X4 vs X1,X2,X3 6.9 38.4 314.8307 - 27.1086 14.4 40.3 - 1.3049 - 0.6608 7.4 40.0 - 10.7031 11.1507 8.5 31.8 0.0682 1.4017 8.0 40.8

2.8 41.3 0.8662 0.2034 5.0 38.1

12.2 50.8 10.0 32.2 15.2 38.4 26.8 40.3

t Stat P-value 14.0 32.2 - 0.6738 0.5062 14.7 31.8 2.2739 0.0311 6.4 41.3 1.4976 0.1458 tn 17.6 38.1 - 5.1160 0.0000 22.3 50.8 23.9922 0.0000 24.8 32.2

26.0 38.4 t Stat P-value 34.9 40.3

0.5582 0.5811 18.2 40.0 2.1725 0.0384 23.2 32.2 - 11.7177 0.0000 18.0 31.8 24.2238 0.0000 13.1 40.8

16.1 41.3 32.1 38.1 34.7 50.8

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31.7 32.2 33.6 38.4 30.4 40.0 26.6 40.8 27.8 41.3 45.7 50.8

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SS MS F Significance F 3,418.0761 1,139.3587 218.5055 0.0000 146.0011 5.2143 3,564.0772

Standard Error t Stat P-value Lower 95% Upper 95% Lower 95.0% 7.2233 0.5582 0.5811 - 10.7643 18.8284 - 10.7643 0.1021 2.1725 0.0384 0.0127 0.4308 0.0127 0.0159 - 11.7177 0.0000 - 0.2192 - 0.1540 - 0.2192 0.0065 24.2238 0.0000 0.1433 0.1698 0.1433

X3 X4220 235231 307217 212316 365210 218267 235274 285190 205236 267220 300231 367284 351316 379267 275274 365190 275236 360220 365231 395217 272284 424316 428210 273267 358274 444190 345

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236 402220 410217 340210 347267 416190 407

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Upper 95.0% 18.8284 0.4308 - 0.1540 0.1698

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t C F Y(C/F) X(F) SUMMARY OUTPUT 1969 50.00 623.0 0.0803 623.01970 49.00 628.0 0.0780 628.0 Regression Statistics 1971 47.50 520.0 0.0913 520.0 Multiple R 0.9632 1972 45.00 513.0 0.0877 513.0 R Square 0.9278 1973 51.00 661.0 0.0772 661.0 Adjusted R Square 0.9175 1974 56.00 919.0 0.0609 919.0 Standard Error 0.0062 1975 66.00 1158.0 0.0570 1158.0 Observations 9.0000 1976 58.00 1970.0 0.0294 1970.01977 52.00 1317.0 0.0395 1317.0 ANOVA

df SS Regression 1 0.0035 Residual 7 0.0003 Total 8 0.0037

Coefficients Standard Error Intercept 0.10638159 0.0047 X(F) - 0.00004285 0.0000

RESIDUAL OUTPUT

Observation Predicted Y(C/F) Residuals 1.0000 0.0797 0.0006 2.0000 0.0795 - 0.0014 3.0000 0.0841 0.0072 4.0000 0.0844 0.0033 5.0000 0.0781 - 0.0009 6.0000 0.0670 - 0.0061 7.0000 0.0568 0.0002 8.0000 0.0220 0.0075 9.0000 0.0499 - 0.0105

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MS F Significance F 0.0035 89.9818 0.0000 0.0000

t Stat P-value Lower 95% Upper 95% 22.8550 0.0000 0.0954 0.1174 - 9.4859 0.0000 - 0.0001 - 0.0000

C/F = a + bF a = 0.10638159 b = - 0.00004285

fMSY = 1,241.21 MSY = 66.02

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