data mining dm 2020.pdfalgoritma data mining (dm) 1. estimation (estimasi): • linear regression,...
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Data Mininghttp://www.unhas.ac.id/amil/S1TIF/DM2020/
L3
Amil Ahmad Ilham
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Algoritma Data Mining (DM)
1. Estimation (Estimasi):• Linear Regression, Neural Network, Support Vector Machine, etc
2. Prediction/Forecasting (Prediksi/Peramalan):• Linear Regression, Neural Network, Support Vector Machine, etc
3. Classification (Klasifikasi):• Naive Bayes, K-Nearest Neighbor, C4.5, ID3, CART, Linear Discriminant Analysis,
Logistic Regression, etc
4. Clustering (Klastering):• K-Means, K-Medoids, Self-Organizing Map (SOM), Fuzzy C-Means, etc
5. Association (Asosiasi):• FP-Growth, A Priori, Coefficient of Correlation, Chi Square, etc
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Linear RegressionLinear Regression
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Hubungan antarvariabel
Terhubung Tak Terhubung
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Terhubung Linier
Terhubung Non-linier
Terhubung Non-linier
Hubungan antarvariabel
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Linier, terhubung kuat Linier, terhubung lemah
Hubungan antarvariabel
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Linier, kuat Linier, Lemah Non-Linier
Regresi Linier
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Linier, Kuat Linier, Lemah Non-Linier
Resi
dua
ls
Resi
dua
ls
Resi
dua
ls
Regresi Linier - Residual
acak acak - tersebar berpola - tersebar
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Koefisien korelasi
22 )()(
))((
YYXX
YYXXr
ii
ii
• Mengukur korelasi antara dua variabel
• Menunjukkan kekuatan korelasi
Pearson coefficient correlation:
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koefisien korelasi
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Apa itu regresi?
UkuranMesin
Silinder KonsumsiBBM
Emisi CO2
0 2.0 4 8.5 196
1 2.4 4 9.6 221
2 1.5 4 5.9 136
3 3.5 6 11.1 255
4 3.5 6 10.6 244
5 3.5 6 10.0 230
6 3.5 6 10.1 232
7 3.7 6 11.1 255
8 3.7 6 11.6 267
9 2.4 4 9.2 ?
11
Regresi adalah proses untuk memprediksi nilai kontinuvariable terikat
Nila
i ko
nti
nu
X: variable bebas Y: variable terikat
Nilai kategoris atau kontinu
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Apa itu model regresi?
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Data historis mobil:jumlah silinder, ukuran mesin,
konsumsi BBM dan CO2
Model
Jenis mobil baru EstimasiEmisi CO2
Training
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Jenis Model Regresi
• Simple Regression (regresi sederhana):• Linier
• Non-linier
• Multiple Regression (Regresi banyak variable):• Linier
• Non-linier
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Prediksi EmisiCO2 vs Ukuran Mesin
Prediksi EmisiCO2 vs (Ukuran Mesin dan jumlah silinder)
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Aplikasi Regresi
• Prediksi Nilai Penjualan per Tahun seseorang• Berdasarkan umur, pendidikan dan pengalaman seorang sales
• Analisis kepuasan pelanggan• Berdasarkan demografi dan faktor psikologis pelanggan
• Estimasi Harga Rumah• Berdasarkan luas, jumlah kamar dll
• Gaji Karyawan• Berdasarkan jenis pekerjaan, pendidikan, jenis kelamin, umur, pengalaman
kerja dll.
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Berbagai Algoritma Regresi
• Regresi Ordinal
• Regresi Poisson
• Fast Forest Quantile
• Linier, Polinomial, Lasso, Stepwise, Ridge
• Regresi Linier Bayesian
• Neural Network
• Decision Forest
• Booseted Decision Tree
• KNN (K-nearest neighbors)
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Regresi Linier Sederhana
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Topologi Regresi Linier
• Regresi Linier Sederhana• Prediksi Emisi CO2 vs Ukuran Mesin dari semua mobil
• Regresi Linier Berganda (Multiple Linear Regression):• Prediksi Emisi CO2 vs Ukuran Mesin dan Silinder semua mobil
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Regresi LinierSederhana
Variabel bebas(x1): Ukuran Mesin
Prediksi (y): Emisi CO2
Regresi LinierBerganda
Variabel bebas(x1, x2,…): Ukuran Mesin, Silinder, …
Prediksi (y): Emisi CO2
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UkuranMesin
Silinder KonsumsiBBM
Emisi CO2
0 2.0 4 8.5 196
1 2.4 4 9.6 221
2 1.5 4 5.9 136
3 3.5 6 11.1 255
4 3.5 6 10.6 244
5 3.5 6 10.0 230
6 3.5 6 10.1 232
7 3.7 6 11.1 255
8 3.7 6 11.6 267
9 2.4 4 9.2 ?
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Nila
i ko
nti
nu
X: variable bebas Y: variable terikat
Menggunakan Regresi Linier untuk memperkirakan nilai kontinu
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Cara menerapkan regresi linier
UkuranMesin
Silinder KonsumsiBBM
EmisiCO2
0 2.0 4 8.5 196
1 2.4 4 9.6 221
2 1.5 4 5.9 136
3 3.5 6 11.1 255
4 3.5 6 10.6 244
5 3.5 6 10.0 230
6 3.5 6 10.1 232
7 3.7 6 11.1 255
8 3.7 6 11.6 267
9 2.4 4 9.2 ? Ukuran Mesin
Emis
iCO
2
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Cara menerapkan regresi linier
UkuranMesin
Silinder KonsumsiBBM
EmisiCO2
0 2.0 4 8.5 196
1 2.4 4 9.6 221
2 1.5 4 5.9 136
3 3.5 6 11.1 255
4 3.5 6 10.6 244
5 3.5 6 10.0 230
6 3.5 6 10.1 232
7 3.7 6 11.1 255
8 3.7 6 11.6 267
9 2.4 4 9.2 ? x1 (Ukuran Mesin)
Y (E
mis
iCO
2)
2.4
214
Plot Data Y vs X
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Cara menerapkan regresi linier
x1 (Ukuran Mesin)
Y (E
mis
iCO
2)
Plot Data Y vs X
𝑦=𝜃0+𝜃1𝑥1
Variabel prediksi
Perpotongan sumbu y gradien
Koefisien garis
Variabel bebastunggal
Bagaimana mencari nilai𝜃0dan 𝜃1sehingga garis paling mendekati data (best fit) ?
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Cara mencari best fit ?
x1 (Ukuran Mesin)
Y (E
mis
iCO
2)
Plot Data Y vs XAmbil nilai variable bebas𝑥1=5.4𝑦=250(nilai Emisi CO2 menurut data)
𝑦=𝜃0+𝜃1𝑥1 𝑦=340adalah hasil prediksi untuk x1
Error =𝑦− 𝑦=250−340=−90
Karena nilai error bisa positif atau negatif, gunakan nilai kwardratnya. Best Fit adalahmencari garis yang jumlah kwardrat error – nya paling kecil (minimal square error):
𝑀𝑆𝐸=1
𝑛
𝑖=1
𝑛
𝑦𝑖− 𝑦𝑖2
5.4
𝒚=𝟐𝟓𝟎
𝒚=𝟑𝟒𝟎
minimasi 𝜃0,𝜃1
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Cara mencari best fit ?
x1 (Ukuran Mesin)
Y (E
mis
iCO
2)
Plot Data Y vs X
Pendekatan minimasi:• Pendekatan matematis• Pendekatan optimasi
𝑀𝑆𝐸=1
𝑛
𝑖=1
𝑛
𝑦𝑖− 𝑦𝑖2
Distribusi Error
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Estimasi parameter 𝜃0dan 𝜃1(𝒎𝒂𝒕𝒆𝒎𝒂𝒕𝒊𝒔)
UkuranMesin
Silinder KonsumsiBBM
EmisiCO2
0 2.0 4 8.5 196
1 2.4 4 9.6 221
2 1.5 4 5.9 136
3 3.5 6 11.1 255
4 3.5 6 10.6 244
5 3.5 6 10.0 230
6 3.5 6 10.1 232
7 3.7 6 11.1 255
8 3.7 6 11.6 267
9 2.4 4 9.2 ?
𝑥1 𝑦
𝑦=𝜃0+𝜃1𝑥1
𝜃1= 𝑖=1𝑠 𝑥𝑖− 𝑥 𝑦𝑖− 𝑦
𝑖=1𝑠 𝑥𝑖− 𝑥2
𝜃1=43.98
𝜃𝑜= 𝑦−𝜃1 𝑥
𝜃𝑜=92.8
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Estimasi parameter 𝜃0dan 𝜃1(𝒐𝒑𝒕𝒊𝒎𝒂𝒔𝒊)
UkuranMesin
Silinder KonsumsiBBM
EmisiCO2
0 2.0 4 8.5 196
1 2.4 4 9.6 221
2 1.5 4 5.9 136
3 3.5 6 11.1 255
4 3.5 6 10.6 244
5 3.5 6 10.0 230
6 3.5 6 10.1 232
7 3.7 6 11.1 255
8 3.7 6 11.6 267
9 2.4 4 9.2 ?
𝑥1 𝑦
𝑦=92.8+43.98𝑥1
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Prediksi dengan Regresi Linier
UkuranMesin
Silinder KonsumsiBBM
EmisiCO2
0 2.0 4 8.5 196
1 2.4 4 9.6 221
2 1.5 4 5.9 136
3 3.5 6 11.1 255
4 3.5 6 10.6 244
5 3.5 6 10.0 230
6 3.5 6 10.1 232
7 3.7 6 11.1 255
8 3.7 6 11.6 267
9 2.4 4 9.2 ?
𝑦=92.8+43.98𝑥1
198.352
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Tutorial Simple Linear Regression
• Download file automobileEDA.csv di http://www.unhas.ac.id/amil/S1TIF/DM2020/• Klik kanan file => Save Link As => Save as type: All Files
• Run Jupyter Notebook
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Dataset
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Contoh plot hubungan antara 'highway-mpg' dan 'price’
Miles per gallon (mpg)
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Koefisien korelasi
• 'highway-mpg' and 'price'
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Cek koefisien korelasi
• 'engine-size' and 'price'
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Cek koefisien korelasi
• 'Peak-rpm' and 'price'
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Linear function
• a refers to the intercept of the regression line, in other words: the value of Y when X is 0
• b refers to the slope of the regression line, in other words: the value with which Y changes when X increases by 1 unit
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Load the modules for linear regression
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Linear function• "highway-mpg" as the predictor variable and the "price" as the
response variable.
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Linear function• "highway-mpg" as the predictor variable and the "price" as the
response variable.
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Model Linier
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Plotting data dan model
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Tugas• Run new Jupyter Notebook• Buat program untuk memperlihatkan hubungan antara “engine-size” dan “price”
• Buat prediksi price dengan engine-size yang lebih besar (500 – 1000).
Model Prediksi