TASK 18 : KOMSTAT (Regresi Linier Berganda)

night guys...
happy holiday :)
akhirnya bisa megang laptop dan ngeblog, setelah sekian lama vacuum haha. langsung aja yaa aku akan kasi kalian beberapa informasi atau bisa disebut juga bocoran tentang tugas komputasi statistika. as far.. laporan komstat aku sebagai anak statistika bisa dibilang cukup memuaskan yaaajadi aku akan share ke kalian yang juga mengambil mata kuliah komputasi statistika. dan ini adalah laporan pertama aku.

LAPORAN PRAKTIKUM

KOMPUTASI STATISTIKA

“Regresi Linier Berganda“

OLEH:

                        NAMA         : Makhrifatul Murdhita

                        NIM             : 135090501111048

                        ASISTEN     : 1. Diana Rosyida

                                               2. Nur Pradina K

LABORATORIUM STATISTIKA

PROGRAM STUDI STATISTIKA

JURUSAN MATEMATIKA

FAKULTAS MATEMATIKA DAN ILMU PENGETAHUAN ALAM

UNIVERSITAS BRAWIJAYA

MALANG

2015

BAB I

SOURCE CODE

No.	Source Code	Penjelasan
1.	source("C:\\Users\\user 64bit\\Desktop\\dhit.txt")	Fungsinya adalah untuk memanggil data sehingga data tersebut dapat ditampilkan pada software R.
2.	a<-read.table("C:\\Users\\user 64bit\\Desktop\\dhit.txt") > a<-read.table("C:\\Users\\user 64bit\\Desktop\\dhit.txt",header=TRUE)	Fungsinya adalah untuk membuat data  menjadi variabel.
3.	> a	Fungsinya adalah untuk menampilkan a.
4.	> Y=t(a$y)	Fungsinya adalah untuk mentransposekan variabel Y sehingga dalam bentuk vektor baris.
5.	> Y	Fungsinya adalah untuk menampilkan Y.
6.	> Y1=t(Y)	Fungsinya adalah untuk mentransposekan variabel Y sehingga dalam bentuk vektor kolom dan diberi nama vektor Y1.
7.	> Y1	Fungsinya adalah untuk menampilkan Y1.
8.	> rep(1,10)	Fungsinya adalah untuk menampilkan angka 1 sebanyak 10 kali.
9.	> t(rep(1,10))	Fungsinya adalah untuk menampilkan rep(1,10) yang di transpose agar menjadi vektor baris.
10.	> t(t(rep(1,10)))	Fungsinya adalah untuk menampilkan rep(1,10) yang di transpose lagi  agar menjadi vektor kolom.
11.	> satu=t(t(rep(1,10)))	Fungsinya adalah untuk memberikan nama pada t(t(rep(1,10))) menjadi satu.
12.	> X=cbind(satu,a$X1,a$X2,a$X3)	Fungsinya adalah untuk menggabungkan vektor kolom satu, X1,X2,X3 menjadi matriks dan dinamakan matriks X.
13.	> X	Fungsinya adalah untuk menampilkan matriks X.
14.	> XtX=t(X)%*%X	Fungsinya adalah untuk menghitung perkalian matriks X’X.
15.	> XtX	Fungsinya adalah untuk menampilkan XtX.
16.	> XtXinsv=solve(XtX)	Fungsinya adalah untuk menghitung invers matriks (X’X)-1.
17.	> XtXinsv	Fungsinya adalah untuk menampilkan XtXinsv.
18.	> XtY=t(X)%*%Y1	Fungsinya adalah untuk menghitung perkalian matriks X’Y.
19.	> XtY	Fungsinya adalah untuk menampilkan XtY.
20.	> beta=XtXinsv%*%XtY	Fungsinya adalah untuk mengitung perkalian (X’X)-1X’Y. Sehingga didapatkan β0, β1 dan β2.
21.	> beta	Fungsinya adalah untuk menampilkan beta.
22.	> model=lm(Y~X1+X2+X3,data=a) > summary(model)	Fungsinya adalah untuk mendapatkan regresi dan uji asumsi.
23.	> residual=resid(model) > residual	Fungsinya adalah untik mencari residual yang akan digunakan untuk uji asumsi normalitas.
24.	> library(car) >qq.plot(residual,dist="norm",main="Normal QQ Plot")	Fungsinya adalah untuk membuat qq plot pada software R dan kemudian untuk menguji asumsi normalitas.
25.	> library(lmtest) > bptest(model,studentize=F,data=a)	Fungsinya adalah untuk menguji uji homokedastisitas dengan menggunakan uji Breusch Pagan.
26.	> library(lmtest) > dwtest(model)	Fungsinya adalah untuk menguji uji autokorelasi dengan menggunakan uji Durbin Watson.
28.	> library(car) > vif(model)	Fungsinya adalah untuk menguji asumsi multikolinieritas dengan menggunakan nilai VIF

BAB II

HASIL DAN PEMBAHASAN

2.1    Screenshot Program

 \

 

 

 

2.2    Pembahasan

Ø Pendugaan Parameter

> source("C:\\Users\\user 64bit\\Desktop\\dhit.txt")

Error in source("C:\\Users\\user 64bit\\Desktop\\dhit.txt") :

  C:\Users\user 64bit\Desktop\dhit.txt:1:3: unexpected symbol

1: y x1

      ^

> a<-read.table("C:\\Users\\user 64bit\\Desktop\\dhit.txt")

> a<-read.table("C:\\Users\\user 64bit\\Desktop\\dhit.txt",header=TRUE)

> a

    y x1 x2 x3

1  12  3  7  3

2   9  5  8  5

3   9  6 10  6

4   8  7 11  1

5   7 11 12  3

6  10 12 15  9

7  15 14 21 12

8   4 20 20 11

9   3  8  6 14

10  2  9 10 15

> Y=t(a$y)

> Y

     [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10]

[1,]   12    9    9    8    7   10   15    4    3     2

> Y1=t(Y)

> Y1

      [,1]

 [1,]   12

 [2,]    9

 [3,]    9

 [4,]    8

 [5,]    7

 [6,]   10

 [7,]   15

 [8,]    4

 [9,]    3

[10,]    2

> rep(1,10)

 [1] 1 1 1 1 1 1 1 1 1 1

> t(t(rep(1,10)))

      [,1]

 [1,]    1

 [2,]    1

 [3,]    1

 [4,]    1

 [5,]    1

 [6,]    1

 [7,]    1

 [8,]    1

 [9,]    1

[10,]    1

> intercept=t(t(rep(1,10)))

> X=cbind(intercept,a$x1,a$x2,a$x3)

> X

      [,1] [,2] [,3] [,4]

 [1,]    1    3    7    3

 [2,]    1    5    8    5

 [3,]    1    6   10    6

 [4,]    1    7   11    1

 [5,]    1   11   12    3

 [6,]    1   12   15    9

 [7,]    1   14   21   12

 [8,]    1   20   20   11

 [9,]    1    8    6   14

[10,]    1    9   10   15

> XtX=t(X)%*%X

> XtX

     [,1] [,2] [,3] [,4]

[1,]   10   95  120   79

[2,]   95 1125 1342  853

[3,]  120 1342 1680 1009

[4,]   79  853 1009  847

> XtXinsv=solve(XtX)

> XtXinsv

            [,1]         [,2]         [,3]         [,4]

[1,]  0.89436518  0.045061830 -0.079158128 -0.034500636

[2,]  0.04506183  0.025085223 -0.019540671 -0.006187772

[3,] -0.07915813 -0.019540671  0.019699775  0.003594583

[4,] -0.03450064 -0.006187772  0.003594583  0.006348036

> XtY=t(X)%*%Y1

> XtY

     [,1]

[1,]   79

[2,]  720

[3,] 1001

[4,]  550

> beta=XtXinsv%*%XtY

> beta

            [,1]

[1,]  4.88673050

[2,] -1.34224091

[3,]  1.37371993

[4,] -0.09114949

> Jadi, model yang didapatkan adalah

Y = 4.88673050 -  1.34224091 x1+ 1.37371993x2 -0.09114949x3

      

Interpretasi:

1.      Jadi, setiap kenaikan satu cent harga lombok perkilo (X₁) akan menurunkan konsumsi lombok perkapita (Y) sebesar  1.34224091 lb, dimana variabel lainnya konstan.

2.      Jadi, setiap kenaikan satu cent harga bawang perkilo (X₂) akan meningkatkan konsumsi lombok perkapita (Y) sebesar 1.37371993 lb, dimana variabel lainnya konstan.

3.      Jadi, setiap kenaikan satu cent harga tomat perkilo (X₃) akan menurunkan konsumsi lombok perkapita (Y) sebesar 0.09114949 lb, dimana variabel lainnya konstan.

Ø  Uji Hipotesis

> model=lm(Y~X1+X2+X3,data=a)

> summary(model)

Call:

> model=lm(y~x1+x2+x3,data=a)

> summary(model)

Call:

lm(formula = y ~ x1 + x2 + x3, data = a)

Residuals:

    Min      1Q  Median      3Q     Max

-3.1765 -0.8961  0.4786  1.3636  1.8850

Coefficients:

            Estimate Std. Error t value Pr(>|t|)  

(Intercept)  4.88673    2.05752   2.375  0.05514 .

x1          -1.34224    0.34458  -3.895  0.00803 **

x2           1.37372    0.30536   4.499  0.00411 **

x3          -0.09115    0.17334  -0.526  0.61786  

---

Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Residual standard error: 2.176 on 6 degrees of freedom

Multiple R-squared:  0.8093,    Adjusted R-squared:  0.7139

F-statistic: 8.486 on 3 and 6 DF,  p-value: 0.01405

> residual=resid(model)

> residual

         1          2          3          4          5          6          7

 1.7974012  0.2904621 -1.0235874 -2.5108139  0.6667288  1.4347069  1.1503177

         8          9         10

-0.5136664  1.8849701 -3.1765192

v Uji Simultan

H₀ : β₀ = β₁ = β₂ = β₃= 0

H₁ : Paling tidak terdapat satu β_i ≠ 0, i = 0,1,2

Keputusan:

p-value :

0.0145 < 0.05      (tolak H0)

Kesimpulan:

Jadi, dengan taraf nyata 5% sudah cukup bukti untuk membuktikan bahwa harga lombok perkilo, harga bawang perkilo, dan harga tomat perkilo berpengaruh secara nyata terhadap konsumsi lombok perkapita.

v Uji parsial

H₀ : β₀ = 0

H_{1 :}  β₀  ≠ 0

Keputusan:

p-value :

0.3532  >  0.05    (terima H0)

Kesimpulan:

Jadi, dengan taraf nyata 5% sudah cukup bukti untuk membuktikan bahwa intersep tidak pengaruh secara nyata terhadap konsumsi lombok perkapita.

H₀ : β₁ = 0

H_{1 :}  β₁  ≠ 0

Keputusan:

p-value :

0.5739    >  0.05  (terima H0)

Kesimpulan:

Jadi, dengan taraf nyata 5% sudah cukup bukti untuk membuktikan bahwa harga lombok perkilo (X₁) tidak pengaruh secara nyata terhadap konsumsi lombok perkapita.

H₀ : β₂ = 0

H_{1 :}  β₂  ≠ 0

Keputusan:

p-value :

0.0291     <  0.05 (tolak H0)

Kesimpulan:

Jadi, dengan taraf nyata 5% sudah cukup bukti untuk membuktikan bahwa harga bawang perkilo (X₂) pengaruh secara nyata terhadap konsumsi lombok perkapita.

H₀ : β₃ = 0

H_{1 :}  β₃  ≠ 0

Keputusan:

p-value :

0.8833  >  0.05    (terima H0)

Kesimpulan:

Jadi, dengan taraf nyata 5% sudah cukup bukti untuk membuktikan bahwa harga tomat perkilo (X₃) tidak pengaruh secara nyata terhadap konsumsi lombok perkapita.

Ø  Uji Asumsi Klasilk

v Asumsi Normalitas

 

 

 Kesimpulan:

Dari gambar qq plot diatas dapat diambil kesimpulan bahwa galat menyebar secara normal karena titik-titik pada scatter plot berada dalam garis batas. Sehingga asumsi normalitas terpenuhi.

v Asumsi Homoskedastisitas

H₀ : Ragam galat konstan

H₁ : Ragam galat tidak konstan

Breusch-Pagan test

data:  model

BP = 1.0636, df = 3, p-value = 0.7859

Keputusan:

p-value :

0.7859  >  0.05    (terima H0)

Kesimpulan:

Jadi, dengan taraf nyata 5% sudah cukup bukti untuk membuktikan bahwa ragam galat konstan sehingga asumsi homoskedastisitas terpenuhi.

v Asumsi Autokorelasi

H₀ : tidak terdapat autokorelasi

H₁ : terdapat autokorelasi

> library(lmtest)

> dwtest(model)

        Durbin-Watson test

data:  model

DW = 2.1385, p-value = 0.3739

alternative hypothesis: true autocorrelation is greater than 0

Keputusan:

p-value :

0.3739  >  0.05    (terima H0)

 

Kesimpulan:

Jadi, dengan taraf nyata 5% sudah cukup bukti untuk membuktikan bahwa tidak terdapat autokorelasi sehingga asumsi autokorelasi tidak terpenuhi.

v Asumsi Multikolinieritas

X1                    X2              X3

1.112119   2.447783     2.292954

Kesimpulan:

Dari hasil nilai VIF diatas dapat diambil kesimpulan bahwa nilai VIF<10 maka sudah cukup bukti tidak terpenuhi asumsi multikolinieritas.

BAB III

PENUTUP

3.1    Kesimpulan

1.    Model yang didapatkan adalah Y = 4.88673050 -  1.34224091 x1+ 1.37371993x2 -0.09114949x3

  

2.    Pada uji Simultas dapat diambil kesimpulan bahwa harga lombok perkilo, harga bawang perkilo, dan harga tomat perkilo berpengaruh secara nyata terhadap konsumsi lombok perkapita. (Tolak H0).

3.    Pada uji parsial β₀ ,β₁ ,β_2, β₃ dapat diambil kesimpulan bahwa β₀, β₁, β₃ masing- masing terima H0 atau intersep tidak pengaruh secara nyata terhadap konsumsi lombok perkapita, harga lombok perkilo (X₁) tidak pengaruh secara nyata terhadap konsumsi lombok perkapita, bahwa harga tomat perkilo (X₃) tidak pengaruh secara nyata terhadap konsumsi lombok perkapita, dan β₂ tolak H0 atau harga bawang perkilo (X₂) pengaruh secara nyata terhadap konsumsi lombok perkapita.

4.    Pada asumsi normalitas galat menyebar secara normal karena titik-titik pada scatter plot berada dalam garis batas. Sehingga asumsi normalitas terpenuhi.

5.    Pada asumsi homoskedastisitas dapat diambil kesimpulan ragam galat konstan sehingga asumsi homoskedastisitas terpenuhi. 

6.    Pada asumsi autokorelasi dapat diambil kesimpulan tidak terdapat autokorelasi sehingga asumsi autokorelasi tidak terpenuhi.

7.    Pada asumsi multikolinieritas nilai VIF<10 maka sudah cukup bukti bahwa tidak terpenuhi asumsi multikolinieritas.

3.2    Saran

1.    Dalam pembuatan source code harus teliti dan berhati-hati dalam memasukkan syntax agar tidak error atau kesalahan

LAMPIRAN

Soal

Tahun	Y	X1	X2	X3
1962	12	3	7	3
1963	9	5	8	5
1964	9	6	10	6
1965	8	7	11	1
1966	7	11	12	3
1967	10	12	15	9
1968	15	14	21	12
1969	4	20	20	11
1970	3	8	6	14
1971	2	9	10	15

Keterangan:

Y   = konsumsi lombok perkapita

X1 = harga lombok perkilo riil (₡)

X2 = harga bawang perkilo riil (₡)

X3 = harga tomat perkilo riil (₡)

sekian laporan pertama kali ini, semoga bisa membantu kalian dalam mengerjakan laporan komstat :) 

LIve Your Life

 

sweater by hardware, t shirt by gaudi

 

you know , this's the hardest time in my life.  i live in another city. far from my mommy, far from my family. it force me to be an independent girl. i think, enough to make my mom worried about me nor bothered her because of me. so i try to live my life in my way. therefore,  i decided to take a part time job. 

time to time has past, it feel hard at the first time but now i'm enjoy it. i love my job and my life now. i don't care with other people say about me. they don't know nothing about me. so, please judge me as you like people :) i'm okay. 

well, i'll tell you about my job. i work in a restaurant as cashier, i meet so many people with different character. it's make me know how to deal with them and make me learn how to be more patient hihi. it's running since 7 month ago. as the contract that i take, every 6 month i'll get promotion or additional salary. well, it's happen. i can buy some goods with my own money, i can buy a cellphone for my sister also with my money. that's make me really really proud of my self. here is, i'll show you my second family 

don't be shock after seeing my pictures, because i'm the only one girl between so many boys. yah... cashier must be girl, but the waiters must be boy.

sometimes, when i feel tired,  i think about my mom and feel my spirit back. i'm the older sister in my family, i should be a good lead for my sister and my mom. i will never disappoint them. so if you have a story like mine, just do with your own way. don't be afraid to try. your mistake would not ruin anything but your fear will crushed you

HIJAB of THE DAY

i try'na wearing hijab by my self. haha you know that when i was junior high school i used hijab everyday at school, but now i don't . so i try to wear hijab as good as the past, but i'm failed. i'm forget how to wear hijab neatly. so, here we go. you judge me !

please kindly to leave your comment or critic. btw, i'm not using hijab for permanently i just try to wearing hijab again. i know that a muslim girl must to wear hijab , but i'm not ready yet. it could be someday. thankyou

STUDY EXCURSION

Last Month, me and all SS member goest to Jakarta and jogja due Study Excursion, an event that held by SS- .
we really enjoyed our trip, because we invited many incredible places.

almost all statistician work in consulting department, because it related with our studies.

the first place that impressed me is nielsen . nielsen is a company that focus on consulting department. there are so many firm which asked nielsen to help them to growing their company . such as a television company that asked nielsen to showed their rating.  then, nielsen gives them the result that could be learn by all people even-though it use a graphic or difficult data. yap, the consulting department goal is help people to understand a data easily. possible for all people who didn't study about statistic to understand what is the data meaning or what is the graphic meaning if there is no a statistician who would explain about it to them. how it works ? a client gives nielsen data  from something that they want to know such as for television company "is their television program success? " or manufacture company "is their product liked by people?". and  nielsen will gives them an interpretation from data which they research from public. but before the interpretation come out, they will calculating with statistic method and as the result they got a conclusion, a chart, and so many on for help them to explain to the client.

the second place is Marplus Inc. here about Markplus "We are built to serve and established to build. Since founded in 1990 by Hermawan Kartajaya, we consistently aim to develop companies and individuals in the spheres we master best: consulting, marketing research, education, and media community. In present, we have grown to be a leading professional services firm as becoming the competent advisor of strategy and marketing for many business and institutions in Southeast Asia region" from Markplus website.  thus, now you know that MarkPlus Inc is a company that focus on consulting like Nielsen Company , but the difference is Markplus focus on Marketing research.
I really love this place, why? 1. the lobby of Markplus office is a Mall !!!!! there's Sephora , Mango, Topshop and so on. tht's why i love this place haha ,  2. the office is really cozy. it doesn't looks like an office, but it's  just like a home where you will be feel comfort when you in. it has a unique cafeteria that would make you  fell like "omaigash...i wanna be here all day long" 3. the officers is really kind. at the time me and my friends got an opportunity to saw how they work. so i walked arround the office and the officers was really welcome to us. 4. almost all the officers is young people, they look like not in the office to had work but they just like sit and doing their hobby. they didn't wear uniform or collar like another company. they really enjoy their job with t-shirt or so many fashionable outfit.
ahhhh thts why i like to be on of them. i wish i can be the one of their future employee hahaha

the third place is Bank Indonesia . hmmm i can't describe it well because i'm not interest to be one of them, almost my friend want tho hahaha. i know my skill , i know my capability well, so i won't try very hard and force me to do somethin' that i dislike.

the fourth is net TV. i became a audience in one of TV show on Net TV called INI TALK SHOW. the first time i became an audience liveee in the studio. i meet a lot of actress and actor. zooo amaze me.

the  fifth and the last is amusement park and shopping zone hahahaha

BOROBUDUR TEMPLE

 legging by hellolilo, bag by adorable project, top by gaudi, vest by cendy

kyaaaa i wanna go back there, maybe later i will come to jakarta again. not to spend my time for holiday but for working on the one of the thousand company :DD amieeen

BALEKAMBANG

yoshhhaaa...... happy fasting day everyoneeeee
how's your second day in the fasting time? are you hunger? thirtsty ?? feelin' like hottie ? ouhh just forget it for a while. there are so many way to forget about hunger or thirsty in the fasting day. first do something that distract you from hunger like watching movies, reading The Holy Al-Quran, study?? (no no kinda getting worst) orrrr you can start your trip and enjoy the nature like i did.

a day before fasting day, me and my friend went to the beach . like always, i never bored to see how beautiful it is. i spend my lil free time to visit the beach in south Malang city called Balekambang beach. i never go there, neither my friend . so, we went to the beach with all courage that i have only with my one and only friend at the time. it takes about 3 hours, like usual . thennn... we start it. yeahhhh we start to take a selfie hahahaha

that was sooooo hot at the time. more over , it has just a few trees. but i really enjoyed , because the beach was sooooo quite . there was not much visitor when i arrived, due i went there earlier haha. alhamdulilah, the beach was not full of rubbish or something like that. i feel freeeeeeeeeeeee haha

ouh... this beach is the one of the beach that have a pura (a place for hindu's to pray). to get there we must pass the bridge. it is somethin' that appeal the visitor. poorly, i couldn't get there due my period. so, i only could take a photo on the bridge.

one else, that interesting me is a abandoned bridge. i dunno, how the bridge looks like when the old time. but now, the bridge is broken. and, some people used it to hunting photo only. fortunately, the beach was low tide so i could walk and cross the way under the pura's bridge.

ohh readers, meet my new hair. hahahaha i almost forget to tell you about that. you know at the last post i told you about i failed when i colored it, so i take it to the beauty shop and wholaaaaa it bleached . is that suit with me? uhh... i need ur comment. 

oh.. you can find my photo's too on my instagram . like this photo that has been uploaded by me on it. 

 DANCING LIKE NO ONE WATCHING

oke, just it that i can tell you, i hope you enjoy your fasting day and happy holiday !!!!!

The Secret Sisterhood of Heartbreakers

hell-o readers...
it's been a long long long time i didnt write about a book reference. oke here we go

Title of the Book                         : The Secret Sisterhood of Heartbreakers

Author                                        : Lynn Weingarten

Translator                                    : Endang S

Publisher                                     : PT Bhuana Ilmu Populer

Year of Published                        : 2015, Jakarta

Pages                                          : 387  Pages

Size                                            : 20 x 13,5 Cm

Detail of the Book                      : Literature >> Novel

This book is going to tell you about how to cure a broken heart. Especially for a girl who just be broken heart by someone that told you every day if his love never going to change. You know Datz a lie, but you even don't care about it and when you hurt by him. I bet, your going to cry all the time and blame yourself, and try hard to moving on but you can't. AAAAAANNDDDD, the solution is in this book. This is not a tips and trick books, it's just a novel, but from it you will learn how to fix your heart.

Because it's just a book and there is so much imagination on it , we will learn to cure your heart with MAGIC. How? How? How? How its work? Is that work? Hmm, I dunno, but it's working on Lucy. The last girl who became a part of The Secret Sisterhood of heartbreakers.

What's The Secret Sisterhood of heartbreakers? nah... I tell you about Lucy first. Lucy Wrenn just an ordinary girl who in love with someone called Alex. She adores him so so so much. She does whatever he does, she like anything that he likes. Until someday after summer holiday when Lucy is waiting for Alex to say that she ready to give her virginity to him, Alex decided to break up with her without no reason. That's makes Lucy  really shocked. Like I said, she cries all the time, she blames herself, when she tries to move on... she failed and stalking on him every day.

One day, a girl named Olivia give her invitation to come to her house when she cries in the bathroom and she gives Lucy a handkerchief. That's make Lucy confuse, because she never know about that girl, but why she invite her? Why Olivia said that she will fix Lucy's broken heart. She came to Olivia's house after the address suddenly appear on the handkerchief. There , she greeted by so many boys with a handsome face and two girls with sexy body and pretty face. Olivia tells everything about her community that they called The Secret Sisterhood of heartbreakers. there are two girl that accompanying olivia,  they are gil and liza. Yah, that is not an ordinary girls club. but that's an association that will recruit you to become one of them ,which is you wanna be with. tho, you are denying and refuse to be with them at first. that association teaches you how to fix your broken heart with magic. Olivia as a leader of that club say that Lucy only has a week to become one of them. A  week to make a boy broken-hearted by her and collecting his tears. she really messed up. She wants to fix her heart, but one side, she still loves Alex.

Everyday , Lucy taught by Olivia, Gil and Liza how to be attractive, beauty, and confidence . until, someday Lucy Wrenn magically became a spotlight at the school. all eyes looked at her no exception Alex also tristan (Lucy's best friend). 6 days past. she just has a day to make someone fall in love with her then she broke the heart. but , her attention too much gives to how make Alex fall in love again with her. until she realized that alex don't love her anymore, he has another girl out there. she regrets about all the things that she do to make alex fall in love with her again. and the same time , Tristan say that he loves lucy so much ,but she is really messed up. she abandon tristan and make that boy cries. finally , lucy got her first boy's tears. yes... that's from her best friend Tristan and yessss she officially becomes on of them. one of The Secret Sisterhood of heartbreakers

nah, there is so much things that we can learn from this book. tho, i don't like the Principe which is said that "if you wanna cure your heart , you should broke someone heart". naayyy i think, to cure, you must become someone new. someone that adding a confidence in her life, some beauty, and when she ready to make a relationship... she will  learn from the mistake . but i agree with a quote from Olivia "you will be beauty if you think you are". people have a manner how to manage them heart from broken-hearted without harming others heart. but some people think that revenge is the best way to fix them heart .

you should read this book.!!!