regresi&korelasi

12
KETAHANAN SIMPAN PRODUK MAKANAN Temperatur °F 0 25 50 75 100 Total 55 63 70 73 68 53 61 65 71 65 52 62 69 70 63 54 60 68 74 67 329 315 316 323 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 PERLAKUAN GALAT TOTAL 4 15 19 797,80 48,75 846,55 199,45 3,25 61,37* 4,89

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Regresi&Korelasi

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Page 1: 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

Page 2: Regresi&Korelasi
Page 3: Regresi&Korelasi

i X Y

Page 4: Regresi&Korelasi

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

Page 5: Regresi&Korelasi

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

Page 6: Regresi&Korelasi

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

Page 7: Regresi&Korelasi

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

Page 8: Regresi&Korelasi

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

Page 9: Regresi&Korelasi

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

Page 10: Regresi&Korelasi

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