Tugas Besar Rekayasa Lalu Lintas.xls

7/23/2019 Tugas Besar Rekayasa Lalu Lintas.xls

1/48

A. MODEL GREENSHIELD

No. Waktu Pengamatan

Speed (S) Volume (V) Den!t" (D)

(km#$am) (mp#$am) (mp#$am)

%! &!.%! &!

1 07.00 - 08.00 10.5 157.5 15.000 225.0002 08.00 - 09.00 11 44.8 4.073 16.587

3 09.00 - 10.00 12 44.8 3.733 13.938

4 10.00 - 11.00 9.5 28.7 3.021 9.127

5 11.00 - 12.00 13 63.7 4.900 24.010

6 12.00 - 13.00 10.7 79.1 7.393 54.649

'otal . *+,. -,.+/ -*-.-++

749 X = 38.120 Y = 11.117

X = 6.353 XY = 418.600

Y = 66.7 343.311

&

X2=


2/48

A =

A =343.311 . 66.7 - 38.120 . 418.600

6 . 343.311 - ( 38.120 ) 2

A = 11.441

B =n . XY - X.Y

B =6 . 418.6 - 38.120 . 66.700

6 . 343.311 - ( 38.120 ) 2

B = -0.051

X2. Y - X . XY

n . X2 - (X)2

n . X2 - (X)2


3/48

Sf = A = 11.441

Dj = -Sf/B = 224.0807

Dj/Sf = 19.5857

Menentu!n "u#un$!n S-D% &-D '!n &-S

M'e *u#un$!n S-D

S = Sf - (Sf/Dj).D

S = 11.441 - ( 11.441 / 224.0807 ) . D

S = 11.441 - 0.051 . D

M'e *u#un$!n S-D

& =

& = 11.441 . D - ( 11.441 / 224.0807 ) .

& = 11.441 . D - 0.0511 .

M'e *u#un$!n &-S

& =

& = 224.081 . S - ( 224.081 / 11.4411 ) .

& = 224.081 . S - 19.5857 .

Sf.D - (Sf/Dj).D2

D2

D2

Dj.S - (Dj/Sf).S2

S2

S2


4/48

+e,"tun$!n ! een ,e! ( , )

, =n . XY . Y - X . Y

=

6 . 418.6 - 38.120 . 66.7

6 . 343.311 - ( 38.120 ( 6 . 748.99 - ( 66.7

=-30.9797614

165.331543

= -0.18738

= 0.0351111212

(n . X2 - (X)2 n . Y2 - (Y)2

( )2 )2 )

+e,"tun$!n een Dete,n!n (,2)

,2


5/48

Menentu!n &ue M!u

!. ntu n' D = Dj/2

& = (Sf.Dj)/4

& = ( 11.441 . 224.0807 ) / 4

& = 640.92966

& = 650 /j!

#. ntu n' S = Sf/2

& = (Sf.Dj)/4

& = ( 11.441 . 224.0807 ) / 4

& = 640.92966

& = 650 /j!

!' ue !u :!n$ te,j!' !'!!" ;

& = 650 /j!

+!'! n' D = 224.0807 / 2

D = 112.0404 /j!

S = 11.441 / 2

S = 5.720525 /j!


6/48

0. MODEL GREEN0ERG

No.


&!.%!(km#$am) (mp#$am) (mp#$am) &!

%!

1 10.5 157.5 15.000 2.708 7.334 28.435

2 11 44.8 4.073 1.404 1.972 15.447

3 12 44.8 3.733 1.317 1.735 15.808

4 9.5 28.7 3.021 1.106 1.222 10.503

5 13 63.7 4.900 1.589 2.526 20.660

6 10.7 79.1 7.393 2.000 4.002 21.405

. *+,. -,.+/ +/.+1 +,.2+ ++.1,

39959 X = 10.125 Y = 11.117

X = 1.687 XY = 112.258

Y = 66.7 18.791

ln D

&!

X2=


7/48

A =

A =18.791 . 66.7 - 10.125 . 112.258

6 . 18.791 - ( 10.125 ) 2

A = 11.412

B =n . XY - X.Y

B =6 . 112.26 - 10.125 . 66.7

6 . 18.791 - ( 10.125 ) 2

B = -0.175

X2. Y - X . XY

n . X2 - (X)2

n . X2 - (X)2


8/48

S = - B = 0.175

A = = 11.412

A = 11.412

= 65.280

Dj = 333

= 11.412


M'e *u#un$!n S-D

S =

S = 0.175 . 5.142


9/48

+e,"tun$!n ! een ,e! ( , )

, =n . XY . Y - X . Y

=

6 . 112.258 - 10.125 . 66.7

6 . 18.791 - ( 10.125 ( 6 . 748.99 - ( 66.7

=-1.78829352

21.46750663

= -0.083302

= 0.0069392797

(n . X2 - (X)2 n . Y2 - (Y)2

( )2 )2 )

+e,"tun$!n een Dete,n! (,2)

,2


10/48

Menentu!n &ue M!u

!. ntu n' D = Dj/e

& = S . (Dj/e) --? e = 2.718

& = 0.175 . ( 5.142


11/48

6. MODEL 7NDERWOOD

No.


&!.%!(km#$am) (mp#$am) (mp#$am) %!

&!

1 10.5 157.5 15.000 2.708 225.000 40.621

2 11 44.8 4.073 1.404 16.587 5.719

3 12 44.8 3.733 1.317 13.938 4.918

4 9.5 28.7 3.021 1.106 9.127 3.340

5 13 63.7 4.900 1.589 24.010 7.787

6 10.7 79.1 7.393 2.000 54.649 14.789

. *+,. -,.+/ +/.+1 -*-.-++ .+*

@@@ X = 38.120 Y = 1.687

X = 6.353 XY = 77.174

Y = 10.125 343.311

ln S

&!

X2=


12/48

A =

A =343.311 . 10.125 - 38.120 . 77.174

6 . 343.311 - ( 38.120 ) 2

A = 0.880

B =n . XY - X.Y

B =6 . 77.174 - 38.120 . 10.125

6 . 343.311 - ( 38.120 ) 2

B = 0.127

X2. Y - X . XY

n . X2 - (X)2

n . X2 - (X)2


13/48

D = - 1 / B = 7.871 = 8 /

A = = 0.880

Sf = 2.3632 /j!


M'e *u#un$!n S-D

S =

- D / 8

S = 2.3632 . >

M'e *u#un$!n &-D

& =

- D / 8

& = 2.3632 . D

M'e *u#un$!n &-S

& =

& = 8 . S . ( 2.3632 / S )

ln Sf

(Pake 4alkulato5 tekan INV ln S8)

Sf . > - D/D

Sf . D . > - D/D

. >

D . S . ln (Sf / )

ln


14/48

+e,"tun$!n ! een ,e! ( , )

, =n . XY . Y - X . Y

=

6 . 77.174 - 38.120 . 10.125

6 . 343.311 - ( 38.120 ( 6 . 18.791 - ( 10.12

=77.08318859

78.78481678

= 0.9784016

= 0.9572696361

(n . X2 - (X)2 n . Y2 - (Y)2

( )2 )2


,2


15/48

Menentu!n &ue M!u

!. ntu n' D = D

& =

& = 2.3632 . 8 . > ( -8 / 8 )

& = 18.6693 . 0.36788

& = 6.8680547

& = 6.9 /j!

#. ntu n' S = Sf

& =

& = 2.3632 . ( 8 / > )

& = 6.8680547

& = 6.9 /j!

!' &ue M!u :!n$ te,j!' !'!!" ; 6.9 /j!

+!'! n'

D = D

D = 8 /j!

S = /j!

S = /j!

Sf . Dj . > (-D/D)

Sf . (D / > )

Sf / >


16/48





%! &!.%! &!

1 07.00 - 08.00 35.5 2617 73.718 5434.3892 08.00 - 09.00 41 1750 42.683 1821.832

3 09.00 - 10.00 37 1071 28.946 837.868

4 10.00 - 11.00 50 565 11.300 127.690

5 11.00 - 12.00 45 1308 29.067 844.871

6 12.00 - 13.00 32 1720 53.750 2889.063

'otal */.1 2/-+ -2.** ++211.+-

9859 X = 239.464 Y = 40.083

X = 39.911 XY = 9031.000

Y = 240.5 11955.713

&

X2=


17/48

A =

A =11955.713 . 240.5 - 239.464 . 9031.000

6 . 11955.713 - ( 239.464 ) 2

A = 49.526

B =n . XY - X.Y

B =6 . 9031.0 - 239.464 . 240.500

6 . 11955.713 - ( 239.464 ) 2

B = -0.237

X2. Y - X . XY

n . X2 - (X)2

n . X2 - (X)2


18/48

Sf = A = 49.526

Dj = -Sf/B = 209.3214

Dj/Sf = 4.2265


M'e *u#un$!n S-D

S = Sf - (Sf/Dj).D

S = 49.526 - ( 49.526 / 209.3214 ) . D

S = 49.526 - 0.237 . D

M'e *u#un$!n S-D

& =

& = 49.526 . D - ( 49.526 / 209.3214 ) .

& = 49.526 . D - 0.2366 .

M'e *u#un$!n &-S

& =

& = 209.321 . S - ( 209.321 / 49.5264 ) .

& = 209.321 . S - 4.2265 .

Sf.D - (Sf/Dj).D2

D2

D2

Dj.S - (Dj/Sf).S2

S2

S2


19/48

+e,"tun$!n ! een ,e! ( , )

, =n . XY . Y - X . Y

=6 . 9031 - 239.464 . 240.5

6 . 11955.713 - ( 239.464 ( 6 . 9859.25 - ( 240.5

=-3405.05576

4350.656563

= -0.782653

= 0.6125462027

(n . X2 - (X)2 n . Y2 - (Y)2

( )2 )2 )


,2


20/48

Menentu!n &ue M!u

!. ntu n' D = Dj/2

& = (Sf.Dj)/4

& = ( 49.526 . 209.3214 ) / 4

& = 2591.7318

& = 2600 /j!

#. ntu n' S = Sf/2

& = (Sf.Dj)/4

& = ( 49.526 . 209.3214 ) / 4

& = 2591.7318

& = 2600 /j!

!' ue !u :!n$ te,j!' !'!!" ;

& = 2600 /j!

+!'! n' D = 209.3214 / 2

D = 104.6607 /j!

S = 49.526 / 2

S = 24.76318 /j!


21/48

0. MODEL GREEN0ERG

No.


&!.%!(km#$am) (mp#$am) (mp#$am) &!

%!

1 35.5 2617 73.718 4.300 18.492 152.659

2 41 1750 42.683 3.754 14.091 153.906

3 37 1071 28.946 3.365 11.326 124.521

4 50 565 11.300 2.425 5.880 121.240

5 45 1308 29.067 3.370 11.354 151.632

6 32 1720 53.750 3.984 15.875 127.499

*/.1 2/-+ -2.** +.+2, ./+, ,-+.*1

@@@ X = 21.198 Y = 40.083

X = 3.533 XY = 831.456

Y = 240.5 77.018

ln D

&!

X2=


22/48

A =

A =77.018 . 240.5 - 21.198 . 831.456

6 . 77.018 - ( 21.198 ) 2

A = 70.421

B =n . XY - X.Y

B =6 . 831.46 - 21.198 . 240.5

6 . 77.018 - ( 21.198 ) 2

B = -8.587

X2. Y - X . XY

n . X2 - (X)2

n . X2 - (X)2


23/48

S = - B = 8.587

A = = 70.421

A = 70.421

= 8.201

Dj = 333

= 70.421


M'e *u#un$!n S-D

S =

S = 8.587 . 3470.313 / D

S = 8.587 . ( 3470.313 -

S = 70.421 - 8.587

M'e *u#un$!n &-D

& =

& =

& = 8.587 . D . ( 8.201 -

& = 70.421 . D - 8.587 .

M'e *u#un$!n &-S

& =

- / 8.587& = 3470.313 . S

S . ln Dj

ln Dj

(Pake 4alkulato5 tekan INV ln D$)

S . ln Dj

S . ln Dj / D

ln

ln ln D

. ln D

S . D. ln Dj / D

S . D. (ln Dj - ln D)

ln D )

D . ln D

Dj . S . > -/

. >


24/48

+e,"tun$!n ! een ,e! ( , )

, =n . XY . Y - X . Y

=6 . 831.456 - 21.198 . 240.5

6 . 77.018 - ( 21.198 ( 6 . 9859.25 - ( 240.5

=-109.433412

129.467021

= -0.845261

= 0.7144660066

(n . X2 - (X)2 n . Y2 - (Y)2

( )2 )2 )


,2


25/48

Menentu!n &ue M!u

!. ntu n' D = Dj/e

& = S . (Dj/e) --? e = 2.718

& = 8.587 . ( 3470.313 / 2.718 )

& = 10963.75

& = 10970 /j!

#. ntu n' D = Dj/e

& = S . (Dj/e) --? e = 2.718

& = 8.587 . ( 3470.313 / 2.718 )

& = 10963.75

& = 10970 /j!

!' ue !u :!n$ te,j!' !'!!" ;

& = 10970 /j!

+!'! n' D = 3470.3130 / 2

D = 1735.157 /

S = 8.587 /!


26/48

6. MODEL 7NDERWOOD

No.


&!.%!(km#$am) (mp#$am) (mp#$am) %!

&!

1 35.5 2617 73.718 4.300 5434.389 317.007

2 41 1750 42.683 3.754 1821.832 160.223

3 37 1071 28.946 3.365 837.868 97.416

4 50 565 11.300 2.425 127.690 27.400

5 45 1308 29.067 3.370 844.871 97.943

6 32 1720 53.750 3.984 2889.063 214.158

*/.1 2/-+ -2.** +.+2, ++211.+- 2+*.+*

@@@ X = 239.464 Y = 3.533

X = 39.911 XY = 914.147

Y = 21.198 11955.713

ln S

&!

X2=


27/48

A =

A =11955.713 . 21.198 - 239.464 . 914.147

6 . 11955.713 - ( 239.464 ) 2

A = 2.400

B =n . XY - X.Y

B =6 . 914.147 - 239.464 . 21.198

6 . 11955.713 - ( 239.464 ) 2

B = 0.028

X2. Y - X . XY

n . X2 - (X)2

n . X2 - (X)2


28/48

D = - 1 / B = 35.214 = 35 /

A = = 2.400

Sf = 11.1451 /j!


M'e *u#un$!n S-D

S =

- D / 35

S = 11.1451 . >

M'e *u#un$!n &-D

& =

- D / 35

& = 11.1451 . D

M'e *u#un$!n &-S

& =

& = 35 . S . ( 11.1451 / S )

ln Sf


Sf . > - D/D

Sf . D . > - D/D

. >

D . S . ln (Sf / )

ln


29/48

+e,"tun$!n ! een ,e! ( , )

, =n . XY . Y - X . Y

=

6 . 914.147 - 239.464 . 21.198

6 . 11955.713 - ( 239.464 ( 6 . 77.018 - ( 21.2

=408.6778679

428.2581596

= 0.9542792

= 0.9106488534

(n . X2 - (X)2 n . Y2 - (Y)2

( )2 )2


,2


30/48

Menentu!n &ue M!u

!. ntu n' D = D

& =

& = 11.1451 . 35 . > ( -35 / 35 )

& = 392.308 . 0.36788

& = 144.32209

& = 144.3 /j!

#. ntu n' S = Sf

& =

& = 11.1451 . ( 35 / > )

& = 144.32209

& = 144.3 /j!

!' &ue M!u :!n$ te,j!' !'!!" ; 144.3 /j!

+!'! n'

D = D

D = 35 /j!

S = /j!

S = /j!

Sf . Dj . > (-D/D)

Sf . (D / > )

Sf / >


31/48

SAC ;

D!t! en$!!t!n ue !u nt! !'! !n$ j!!n en'.Su',!n%An$$,e%

Me,'e! untu nte,! 15 ent!n

!tu en$!!t!n M# Mt, BeE! See'! +ej!!n !

07.00 - 07.15 82 552 72 29 2

07.15 - 07.30 87 672 77 8 3507.30 - 07.45 111 773 50 0 0

07.45 - 08.00 74 620 26 11 0

08.00 - 08.15 30 372 13 2 27

08.15 - 08.30 64 503 31 0 17

08.30 - 08.45 40 550 11 0 20

08.45 - 09.00 27 325 9 0 0

09.00 - 09.15 31 415 11 4 0

09.15 - 09.30 17 217 17 0 2

09.30 - 09.45 21 316 17 0 0

09.45 - 10.00 18 123 19 7 010.00 - 10.15 13 87 11 0 0

10.15 - 10.30 32 158 13 2 7

10.30 - 10.45 25 103 7 0 0

10.45 - 11.00 42 217 10 0 0

11.00 - 11.15 56 314 27 4 0

11.15 - 11.30 28 211 8 0 0

11.30 - 11.45 20 316 23 18 0

11.45 - 12.00 18 467 33 12 3

12.00 - 12.15 29 523 21 0 1

12.15 - 12.30 16 318 25 1 112.30 - 12.45 29 412 32 17 0

12.45 - 13.00 31 467 35 2 1


32/48

Mo9!l

Waktu PengamatanSpeed (S) Volume (V) Den!t" (D)


07.00 - 08.00 60 354 5.900

08.00 - 09.00 61 161 2.639

09.00 - 10.00 70 87 1.243

10.00 - 11.00 75 112 1.49311.00 - 12.00 68 122 1.794

12.00 - 13.00 80.1 105 1.311

'otal *+*.+ 2*+ +*.-,+

Moto5



07.00 - 08.00 35.5 2617 73.718

08.00 - 09.00 41 1750 42.683

09.00 - 10.00 37 1071 28.94610.00 - 11.00 50 565 11.300

11.00 - 12.00 45 1308 29.067

12.00 - 13.00 32 1720 53.750

'otal */.1 2/-+ -2.**

0e:ak



07.00 - 08.00 10.5 157.5 15.000

08.00 - 09.00 11 44.8 4.073

09.00 - 10.00 12 44.8 3.733

10.00 - 11.00 9.5 28.7 3.021

11.00 - 12.00 13 63.7 4.900

12.00 - 13.00 10.7 79.1 7.393

'otal . *+,. -,.+/


33/48





%! &!.%! &!

1 07.00 - 08.00 60 354 5.900 34.8102 08.00 - 09.00 61 161 2.639 6.966

3 09.00 - 10.00 70 87 1.243 1.545

4 10.00 - 11.00 75 112 1.493 2.230

5 11.00 - 12.00 68 122 1.794 3.219

6 12.00 - 13.00 80.1 105 1.311 1.718

'otal *+*.+ 2*+ +*.-,+ 1/.*,,

28886 X = 14.381 Y = 69.017

X = 2.397 XY = 941.000

Y = 414.1 50.488

&

X2=


34/48

A =

A =50.488 . 414.1 - 14.381 . 941.000

6 . 50.488 - ( 14.381 ) 2

A = 76.720

B =n . XY - X.Y

B =6 . 941.0 - 14.381 . 414.100

6 . 50.488 - ( 14.381 ) 2

B = -3.214

X2. Y - X . XY

n . X2 - (X)2

n . X2 - (X)2


35/48

Sf = A = 76.720

Dj = -Sf/B = 23.8698

Dj/Sf = 0.3111


M'e *u#un$!n S-D

S = Sf - (Sf/Dj).D

S = 76.720 - ( 76.720 / 23.8698 ) . D

S = 76.720 - 3.214 . D

M'e *u#un$!n S-D

& =

& = 76.720 . D - ( 76.720 / 23.8698 ) .

& = 76.720 . D - 3.2141 .

M'e *u#un$!n &-S

& =

& = 23.870 . S - ( 23.870 / 76.7201 ) .

& = 23.870 . S - 0.3111 .

Sf.D - (Sf/Dj).D2

D2

D2

Dj.S - (Dj/Sf).S2

S2

S2


36/48

+e,"tun$!n ! een ,e! ( , )

, =n . XY . Y - X . Y

=

6 . 941 - 14.381 . 414.1

6 . 50.488 - ( 14.381 ( 6 . 28886.01 - ( 414.1

=-308.970768

420.2543234

= -0.735199

= 0.540518304

(n . X2 - (X)2 n . Y2 - (Y)2

( )2 )2 )


,2


37/48

Menentu!n &ue M!u

!. ntu n' D = Dj/2

& = (Sf.Dj)/4

& = ( 76.720 . 23.8698 ) / 4

& = 457.82244

& = 460 /j!

#. ntu n' S = Sf/2

& = (Sf.Dj)/4

& = ( 76.720 . 23.8698 ) / 4

& = 457.82244

& = 460 /j!

!' ue !u :!n$ te,j!' !'!!" ;

& = 460 /j!

+!'! n' D = 23.8698 / 2

D = 11.9349 /j!

S = 76.720 / 2

S = 38.3601 /j!


38/48

0. MODEL GREEN0ERG

No.


&!.%!(km#$am) (mp#$am) (mp#$am) &!

%!

1 60 354 5.900 1.775 3.150 106.497

2 61 161 2.639 0.971 0.942 59.202

3 70 87 1.243 0.217 0.047 15.219

4 75 112 1.493 0.401 0.161 30.076

5 68 122 1.794 0.585 0.342 39.747

6 80.1 105 1.311 0.271 0.073 21.682

*+*.+ 2*+ +*.-,+ *.+2 *.+1 .*-

@@@ X = 4.219 Y = 69.017

X = 0.703 XY = 272.423

Y = 414.1 4.715

ln D

&!

X2=


39/48

A =

A =4.715 . 414.1 - 4.219 . 272.423

6 . 4.715 - ( 4.219 ) 2

A = 76.563

B =n . XY - X.Y

B =6 . 272.42 - 4.219 . 414.1

6 . 4.715 - ( 4.219 ) 2

B = -10.732

X2. Y - X . XY

n . X2 - (X)2

n . X2 - (X)2


40/48

S = - B = 10.732

A = = 76.563

A = 76.563

= 7.134

Dj = 333

= 76.563


M'e *u#un$!n S-D

S =

S = 10.732 . 1513.227 / D

S = 10.732 . ( 1513.227 -

S = 76.563 - 10.732

M'e *u#un$!n &-D

& =

& =

& = 10.732 . D . ( 7.134 -

& = 76.563 . D - 10.732 .

M'e *u#un$!n &-S

& =

- / 10.732& = 1513.227 . S

S . ln Dj

ln Dj

(Pake 4alkulato5 tekan INV ln D$)

S . ln Dj

S . ln Dj / D

ln

ln ln D

. ln D

S . D. ln Dj / D

S . D. (ln Dj - ln D)

ln D )

D . ln D

Dj . S . > -/

. >


41/48

+e,"tun$!n ! een ,e! ( , )

, =n . XY . Y - X . Y

=

6 . 272.423 - 4.219 . 414.1

6 . 4.715 - ( 4.219 ( 6 . 28886.01 - ( 414.1

=-112.593429

138.8362255

= -0.81098

= 0.6576888793

(n . X2 - (X)2 n . Y2 - (Y)2

( )2 )2 )


,2


42/48

Menentu!n &ue M!u

!. ntu n' D = Dj/e

& = S . (Dj/e) --? e = 2.718

& = 10.732 . ( 1513.227 / 2.718 )

& = 5974.8958

& = 5980 /j!

#. ntu n' D = Dj/e

& = S . (Dj/e) --? e = 2.718

& = 10.732 . ( 1513.227 / 2.718 )

& = 5974.8958

& = 5980 /j!

!' ue !u :!n$ te,j!' !'!!" ;

& = 5980 /j!

+!'! n' D = 1513.2270 / 2

D = 756.614 /

S = 10.732 /!


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6. MODEL 7NDERWOOD

No.


&!.%!(km#$am) (mp#$am) (mp#$am) %!

&!

1 60 354 5.900 1.775 34.810 10.472

2 61 161 2.639 0.971 6.966 2.562

3 70 87 1.243 0.217 1.545 0.270

4 75 112 1.493 0.401 2.230 0.599

5 68 122 1.794 0.585 3.219 1.049

6 80.1 105 1.311 0.271 1.718 0.355

*+*.+ 2*+ +*.-,+ *.+2 1/.*,, +1.-/

4.715 X = 14.381 Y = 0.703

X = 2.397 XY = 15.306

Y = 4.219 50.488

ln S

&!

X2=


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A =

A =50.488 . 4.219 - 14.381 . 15.306

6 . 50.488 - ( 14.381 ) 2

A = -0.074

B =n . XY - X.Y

B =6 . 15.306 - 14.381 . 4.219

6 . 50.488 - ( 14.381 ) 2

B = 0.324

X2. Y - X . XY

n . X2 - (X)2

n . X2 - (X)2


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D = - 1 / B = 3.085 = 3 /

A = = -0.074

Sf = 0.9094 /j!


M'e *u#un$!n S-D

S =

- D / 3

S = 0.9094 . >

M'e *u#un$!n &-D

& =

- D / 3

& = 0.9094 . D

M'e *u#un$!n &-S

& =

& = 3 . S . ( 0.9094 / S )

ln Sf


Sf . > - D/D

Sf . D . > - D/D

. >

D . S . ln (Sf / )

ln


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+e,"tun$!n ! een ,e! ( , )

, =n . XY . Y - X . Y

=

6 . 15.306 - 14.381 . 4.219

6 . 50.488 - ( 14.381 ( 6 . 4.715 - ( 4.219

=31.16523855

31.75753111

= 0.9813495

= 0.9630469202

(n . X2 - (X)2 n . Y2 - (Y)2

( )2 )2


,2


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Menentu!n &ue M!u

!. ntu n' D = D

& =

& = 0.9094 . 3 . > ( -3 / 3 )

& = 2.81914 . 0.36788

& = 1.0371052

& = 1 /j!

#. ntu n' S = Sf

& =

& = 0.9094 . ( 3 / > )

& = 1.0371052

& = 1 /j!

!' &ue M!u :!n$ te,j!' !'!!" ; 1 /j!

+!'! n'

D = D

D = 3 /j!

S = /j!

S = /j!

Sf . Dj . > (-D/D)

Sf . (D / > )

Sf / >


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eu!n ;

Menentu!n 'e :!n$ te,#! ;

1. M'e :!n$ te,#! untu "u#un$!n S - D !'!!" M'e n'e,F' 'en$!n

M# ; 0.963047

Mt, ; 0.910649

BeE! ; 0.95727

2. M'e :!n$ te,#! untu "u#un$!n & - D !'!!" M'e n'e,F' 'en$!n

M# ; 0.963047

Mt, ; 0.910649

BeE! ; 0.95727

3. G'! !'! 'e :!n$ te,#! untu "u#un$!n & - S% !!n tet! 'e n'e,F'

e#e,!n #! / tn$!t e!!"!n :!n$ e#" eE

een Dete,n! ,2 ;

een Dete,n! ,2 ;

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