rizki syahfina tgs-11 pde j 2015 2016

7/24/2019 Rizki Syahfina Tgs-11 PDE J 2015 2016

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paper

METODE LEAST SQUARE

MEGGUNAKAN REGRESI LINIER

DISUSUN OLEH :

RIZKI SYAHFINA.B

4133240028

FAKULTAS MATEMATIKA DAN ILMU PENGETAHUAN ALAM

UNIVERSITAS NEGERI MEDAN

2015/2016


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BAB I

PENDAHULUAN

1.1 Laa! B"#a$a%&

Da#a' '"'("#a)a!* 'aa$+#*a, ("%&-#a,a% aa "$/("!*'"% a%a$ *"'+$a% aa

aa a%& *a$ '"'a+,* ,+$+',+$+'%a. -%-,%a aa 5"&a%&a%6 a% I5$+a a!+/6

a%& *a$ #*%*"! 'a$a )"#a/ *a$ '"'a+,* ,+$+' -,'. D"%&a% '"-" #"a/ /7+a!" $*a

a(a '"'+a aa a%& *a$ #*%*"! "!/"+ '"%)a* #*%*"!. Da% '"-" #"a/ /7+a!" )+&a

*("!#+$a% +%+$ '"#a$+$a% a%a#*/a a(a$a, "!a(a ,++%&a% *a%a!a +a a!*a"# a%&

**%)a+ 9 /""!a(a $+a ,++%&a% a%& "!)a* 9 a% a,$a% a(a '"!a'a#$a% $-%*/*

'"%aa%& "%&a% '"'a%aa$a% !"&!"/* "%&a% $+!a !"&!"/* a%& *,a/*#$a%.

S"'a$*% ("/a%a "$%-#-&* 'a$a $*a )+&a ,a!+/ '"%&*$+* a#+! ("!$"'a%&%%a.

M"-" #"a/ /7+a!" a(a "%&a% '+a, $*a -#a, '"%&&+%a$a% '*;!-/- "


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BAB II

PEMBAHASAN

2.1 M"-" #"a/ /7+a!"

M"-" #"a/ /7+a!" '"!+(a$a% /+a+ "$%*$ ("%"#"/a*a% 'a/a#a, (a#*%& ("%*%& a%

a%a$ *'a%aa$a% a#a' *a%& a(#*$a/*. M"-" *%* a%a$ *&+%$a% +%+$ '"%;a!*>

'"%&"a,+* aa%a ,++%&a% aa+ $-#"!a/* *a%a!a +a a!*a"#. K-%*/* "'*$*a% a$a%

/a%&a "!&+%a )*$a *$"a,+* a% *(a,a'* "%&a% a*$.

'"-" #"a/ /7+a!" *("!#+$a% +%+$ '"#a$+$a% a%a#*/a a(a$a, "!a(a ,++%&a%

*a%a!a +a a!*a"# a%& **%)a+ 9 /""!a(a $+a ,++%&a% a%& "!)a* 9 a% a,$a% a(a

'"!a'a#$a% $-%*/* '"%aa%& "%&a% '"'a%aa$a% !"&!"/* "%&a% $+!a !"&!"/* a%&

*,a/*#$a%.

2.2 R"&!"/* #%*"! /""!,a%a

A%a#*/*/ !"&!"/* #*%*"! /""!,a%a aa#a, ,++%&a% /";a!a #*%"a! a%a!a /a+ a!*a"#

*%"("%"% 5?6 "%&a% a!*a"# "("%"% 5Y6. A%a#*/*/ *%* +%+$ '"%&"a,+* a!a, ,++%&a%

a%a!a a!*a"# *%"("%"% "%&a% a!*a"# "("%"% a(a$a, (-/** aa+ %"&a* a% +%+$

'"'(!"*$/* %*#a* a!* a!*a"# "("%"% a(a*#a %*#a* a!*a"# *%"("%"% '"%&a#a'*

$"%a*$a% aa+ ("%+!+%a%.

R+'+/ !"&!"/* #*%"a! /""!,a%a /"a&* "!*$+:

Y @ a ?...........................16

K""!a%&a%:

Y @ a!*a"# "("%"% 5%*#a* a%& *(!"*$/*$a%6

? @ a!*a"# *%"("%"%

a @ K-%/a%a 5%*#a* Y a(a*#a ? @ 06

@ K-"*/*"% !"&!"/* 5S+(*a%- 9 200C6

2.3 H+$+' -,'

A!+/ #*/!*$ a#a' $a*a%%a "%&a% ,a'aa% a%& "!)a* a#a' (!-/"/

"#"$!-$*'*a '"%&a;+ (aa ,+$+' -,' a%& '"%&aa$a ,++%&a% a%a!a "&a%&a%.

T"&a%&a% a!+/ a% ,a'aa% #*/!*$ *("!#*,a$a% a#a' ("!/a'aa% "!*$+ :


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V = I . R

K""!a%&a% :

@"&a%&a%5-#6

I @ a!+/ 5a'("!"6

R @ ,a'aa% 5-,'6

;-%-, /-a# :

Daa *-a &"!'a%*+'

Tabe 1

V(mV) I (mA)

1010,49

4

20 6,67

30 10,57

40 10,11

50 10,44

60 12,9

70 10,87

80 9,73

90 7,03

100 5,61

110 3,8

120 2,36

K"'+*a% aa (aa a"# 1 *(#- +%+$ '"#*,a &!a*$ a!+/ #*/!*$ 5I6 9 /"$*#a/ $*a

*/a '"#*,a a,=a aa


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0

2

4

6

8

10

12

14

f(x) = - 0.01x^3 - 0.05x 2 + 1.06x + 7.66

I (mA)

Polynomil ()

Axis Title

Ga'a! 2.1 (#- &!a*$ a"# 1

B"!a/a!$a% &!a*$ *aa/ a(a *#*,a a,=a "!a(a aa a%& *a$ '"'a+,*

,+$+' -,' a$%* (aa )a%&$a+a% aa 1 C . /"a%&$a% (aa )a%&$a+a% aa 12 aa

*#*,a '"!+(a$a% aa #*%*"! 'a$a aa "!/"+ '"'a+,* ,+$+' -,'.

Daa 1C a(a $*a ("!a*$* '"%)a* aa #*%*"! "%&a% '"%&&+%a$a% '"-" #"a/

/7+a!" '"'a$a* ("%"$aa% ("!/a'aa% !"&!"/* #*%*"!9 a*+

Y @ a ?............................16K*a '"#a$+$a% /";a!a #*%*"! "%&a% ("!/a'aa% *aa/ *'a%a :

Y @ %*#a* a$,*! #*%*"!

@

x2

x

n

.........................26


6/12

a @

x2

y

xy

x

x2

x

2

........................36

@

xy

x

y

x2

x

2

n

...............................46

a!* aa a"# 1 ("!/a'aa% #*%*"! '"%)a*

I @ a ................6

D*'a%a I aa#a, $+a a!+/ #*/!*$ 5'A6 a% aa#a, "&a%&a% #*/!*$ 5'6


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Daa 1C a%& *a$ #*%*"!

Tabe 2

V(mA) I (mA)

1010,49

4

20 6,67

30 10,57

40 10,11

50 10,44

60 12,9

K"'+*a% *&+%a$a% a"# ("%-#-%& *+%)+$$a% (aa a"# 3 a%& /""#+'%a

*-#a, '"%&&+%a$a% '*;!-/- "


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4010,524

19

5011,177

9

60

11,831

62

Da!* a"# *aa/9 *a(a &!a*$ /"a&a* "!*$+ :

1 2 3 4 5 6

0

5

10

15

20

I (mA)

I (mA)

Ga'a! 2.2 (#- &!a*$ ,a/*# aa 1C "%&a% '"-" #"a/ /7+a!"

S""#a, '"&&+%a$a% '"-" #"a/ /7+a!" "%&a% ("!/a'aa% !"&!"/* #*%*"! *a(a

&!a*$ a%& #*%*"! /"'(+!%a +%+$ $+a a!+/ #*/!*$ /"("!* a%& *+%)+$$a% (aa &a'a! 2.2

a% aa '"%)a* :

Tabe 5

Da!* a"# *aa/ 'a$a *(#- &!a*$ /"("!* &a'a!

*a=a, *%* 9

Ga'a! 2.3 (#- &!a*$ a!* a"#

Da!* &!a*$ *aa/ $*a a(a '"#*,a a,=a &!a*$%a

*a$ #*%*"! 'a$a $*a '"'("!a*$*%a "%&a% '"-"

#"a/ /7+a!" a&a! ,++%&a% a%a!a "&a%&a% #*/!*$ 56 a% $+a a!+/#*/!*$ 5I6 '"'a+,* -,' "%&a% '"%&&+%a$a% ("!/a'aa% 56 9 a$%*

V(mV) I (mA)

10 8,56

20 9,22

30 9,87

40 10,52

50 11,17

60 11,83

70 10,87

80 9,73

90 7,03

100 5,61

110 3,8

120 2,36


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I @ a ................6

K"'+*a% *&+%a$a% a"# ("%-#-%&9

Tabe 6

V(mV) I(mA) V^2 VI

10 8,56 100 85,6

20 9,22 400 184,4

30 9,87 900 296,1

40 10,52 1600 420,8

50 11,17 2500 558,5

60 11,83 3600 709,8

70 10,87 4900 760,9

80 9,73 6400 778,4

90 7,03 8100 632,7

100 5,61 10000 561

110 3,8 12100 418

120 2,36 14400 283,2

780100,5

7 650005689,

4

Da!* a"# *aa/ *a(a :

N @ 12 9 @171600 9 a @12,233799 @-0,05928

K"'+*a% $*a /+/*+/*$a% ("!/a'aa% 26 9 36 a% 46 $" ("!/a'aa% !"&!"/* #*%*"!%a

aa+ ("!/a'aa% 6 /",*%&&a *a(a ,a/*#%a /"("!* a%& *+%)+$$a% (aa a"# .

Tabe #

V(mV) I(mA)

1011,641

03

2011,048

26

3010,455

5

409,8627

39

50

9,2699

7760 8,6772


10/12

14

708,0844

52

807,4916

9

906,8989

28

1006,3061

66

1105,7134

03

1205,1206

41

Da!* a"# *aa/ 9 'a$a $*a a(a '"'(#- &!a*$ /"("!* &a'a! 2.4 *a=a,9

1 2 3 4 5 6 7 8 9 10 11 12

0

2

4

6

8

10

12

14

16

18

I(mA)

I(mA)

Ga'a! 2.4 &!a*$ a"# ,a/*# a$,*! ("%&-#a,a% '"-" #"a/ /7+a!"

Da!* &!a*$ *aa/ '"%+%)+$$a% aa /+a, #*%*"! /"'(+!%a "%&a% '"-" #"a/

/7+a!" 'a$a aa "!/"+ "#a, '"'a+,* ,+$+' -,'.

DAFTAR PUSTAKA

S+(!*a%- . 200C . LEAST SQUARE . a$a!a : U%*"!/*a/ I%-%"/*a


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TABEL NILAI SENSITIITAS ALAT UKUR FISIKA

N- Na'a A#a S"%/***a/

1. M+#*'""! A%a#-& D 20$ /

A $ >

2.

3.4.


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C.

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rizki syahfina tgs-11 pde j 2015 2016

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