Regresi&Korelasi

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Regresi&Korelasi

Transcript of Regresi&Korelasi

KETAHANAN SIMPAN PRODUK MAKANAN

  Temperatur °F 0 25 50 75 100 Total

  55 63 70 73 6853 61 65 71 6552 62 69 70 6354 60 68 74 67

329315316323

Total 214 246 272 288 263 1283

Rata-rata 53,5 61,5 68,0 72,0 65,7 64,15

SUMBER RAGAM DB JK KT Fh F.05

PERLAKUANGALATTOTAL

41519

797,8048,75846,55

199,453,25

61,37* 4,89

i X Y

1. 0 552. 0 533. 0 524. 0 545. 25 636. 25 617. 25 628. 25 609. 50 7010. 50 6511. 50 6912. 50 6813. 75 7314. 75 7115. 75 7016. 75 7417. 100 6818. 100 6519. 100 6320. 100 67

Fh Simp. Model > F.05 ; 3 ; 15 significant  model menyimpang (tidak tepat)

Sumber Ragam DB JK KT Fh F.05

RegresiGalat Simp. Model Galat MurniTotal

1(18)

31519

490(356,55)307,8048,75

846,55

49019,81102,60

3,25

24,73* 

31,57*

4,41 

3,29

i X X2 Y1. -1 1 552. -1 1 533. -1 1 524. -1 1 545. -1/2 0,25 636. -1/2 0,25 617. -1/2 0,25 628. -1/2 0,25 609. 0 0 7010. 0 0 6511. 0 0 6912. 0 0 6813. ½ 0,25 7314. ½ 0,25 7115. ½ 0,25 7016. ½ 0,25 7417. 1 1 6818. 1 1 6519. 1 1 6320. 1 1 67 55,846

83151

15,64

1283

31

70

5,610

70

0

0

2

2

2

1

2

1

21

21

y

Y

Y

Y

yx

yx

YX

YX

xx

XX

Langkah BarisX’X X’Y I

Total1 2 3 4 5 6 7

R1

R2

R3

20010

0100

100

8,5

128370

610,5

100

010

011

131481630

R1

A1/A11

A1

B1

201

00

100,5

128364,15

10,05

00

00

131465,7

R2-A12.B1

A2/A22

A2

B2

00

101

00

707

00

10,1

00

818,1

R3-A13B1-A23B2

A3/A33

A3

B3

00

00

3,51

-31-8,857

-0,5-0,143

00

10,286

-27-7,714

Sumber Ragam DB JK KT Fh F.05

Regresi (b1, b2/b0) b1/b0

b2/b1, b0

Galat Simp. Model Galat MurniTotal

2111721519

764,5701490,0

274,570181,979933,229948,7500846,55

382,29490,0274,574,8216,623,25

79,27*101,61*56,94*

5,11*

3,694,454,45

3,68

(X12)

Dari operasional Metode Doolitle dapat dilihat :b0+0 b1+0,5 b2+0 b3 = 64,150 b0+b1+0 b2+0,85 b3 = 70 b0+0 b1+b2+0b3= -8,8570 b0+0 b1+0 b2+b3= -5,833Jadi b3 = -5,833 b1 = 7 b2 = -8,857 b2 = 64,15

i X1 X2 X3

1. -1 1 -12. -1 1 -13. -1 1 -14. -1 1 -15. -0,5 0,25 -0,1256. -0,5 0,25 -0,1257. -0,5 0,25 -0,1258. -0,5 0,25 -0,1259. 0 0 010. 0 0 011. 0 0 012. 0 0 013. 0,5 0,25 0,12514. 0,5 0,25 0,12515. 0,5 0,25 0,12516. 0,5 0,25 0,12517. 1 1 118. 1 1 119. 1 1 120. 1 1 1

Langkah BarisX’X X’Y I

Total1 2 3 4 5 6 7 8 9

R1

R2

R3

R4

200100

0100

8,5

100

8,50

08,50

8,125

128370

610,554,25

1000

0100

0010

0001

131489,5630

71,875R1

A1/A11

A1

B1

201

00

100,5

00

128364,15

10,05

00

00

00

131465,70

R2-A12.B1

A2/A22

A2

B2

00

101

00

8,50,85

707

00

10,1

00

00

89,58,95

R3-A13B1-A23B2

A3/A33

A3

B3

00

00

3,51

00

-31,0-8,857

-0,5-0,143

00

10,286

00

-27-7,714

R4-A14B1-A24B2-A34B3

A4/A44

A4

B4

0

0

0

0

0

0

0,9

1

-5,25

-5,833

0

0

-0,85

-0,744

0

0

1

1,111

-4,2

-4,66

Sumber Ragam DB JK KT Fh F.05

Regresi (b1, b2,b3/b0) b1/b0

b2/b1b0

b3/b2b1b0

Galat Simp. Model Galat MurniTotal

31111611519

795,19490,0274,5730,6251,362,6148,75846,55

265,06490,0274,5730,623,212,613,25

82,57*152,66*85,53*9,54*

0,80

3,244,494,494,49

4,54

R2 Linier = 490 / 846,55 = 0,58R2 Kuadrater = 754,571 / 846,05 = 0,90R2 Kubik = 795,90 / 846,05 = 0,94