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| 1 |
+
---
|
| 2 |
+
license: mit
|
| 3 |
+
tags:
|
| 4 |
+
- regression
|
| 5 |
+
- classification
|
| 6 |
+
- housing-prices
|
| 7 |
+
- gradient-boosting
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| 8 |
+
- sklearn
|
| 9 |
+
- clustering
|
| 10 |
+
---
|
| 11 |
+
|
| 12 |
+
# Melbourne Housing Price Prediction
|
| 13 |
+
|
| 14 |
+
## 📹 Video Presentation
|
| 15 |
+
|
| 16 |
+
[YOUR VIDEO LINK HERE - Add after recording]
|
| 17 |
+
|
| 18 |
+
---
|
| 19 |
+
|
| 20 |
+
## 📋 Project Overview
|
| 21 |
+
|
| 22 |
+
This project builds a complete machine learning pipeline to predict Melbourne housing prices using both **regression** (exact price) and **classification** (price category) models.
|
| 23 |
+
|
| 24 |
+
| | |
|
| 25 |
+
|---|---|
|
| 26 |
+
| **Dataset** | Melbourne Housing Snapshot (Kaggle) |
|
| 27 |
+
| **Original Size** | 13,580 properties, 21 features |
|
| 28 |
+
| **Final Size** | 11,139 properties (82% retained) |
|
| 29 |
+
| **Target** | Price |
|
| 30 |
+
|
| 31 |
+
### Goals
|
| 32 |
+
1. Build baseline regression model and improve through feature engineering
|
| 33 |
+
2. Apply K-Means clustering to discover property segments
|
| 34 |
+
3. Convert to classification and train classification models
|
| 35 |
+
4. Compare models and identify best performers
|
| 36 |
+
|
| 37 |
+
---
|
| 38 |
+
|
| 39 |
+
## 📊 Part 1-2: Exploratory Data Analysis
|
| 40 |
+
|
| 41 |
+
### Data Cleaning Summary
|
| 42 |
+
|
| 43 |
+
| Step | Action | Impact |
|
| 44 |
+
|------|--------|--------|
|
| 45 |
+
| Missing Values | Dropped BuildingArea (47% missing), YearBuilt (40% missing) | - |
|
| 46 |
+
| Imputation | Car (median), CouncilArea (mode) | ~1,200 rows |
|
| 47 |
+
| Outliers | Removed using IQR method | 2,441 rows |
|
| 48 |
+
| **Final** | **11,139 rows retained** | **18% removed** |
|
| 49 |
+
|
| 50 |
+
### Price Distribution
|
| 51 |
+
|
| 52 |
+

|
| 53 |
+
|
| 54 |
+
**Statistics:** Mean $1.12M | Median $976K | Range $131K - $3.42M
|
| 55 |
+
|
| 56 |
+
---
|
| 57 |
+
|
| 58 |
+
### Research Question 1: Property Type vs Price
|
| 59 |
+
|
| 60 |
+

|
| 61 |
+
|
| 62 |
+
| Type | Count | Mean Price |
|
| 63 |
+
|------|-------|------------|
|
| 64 |
+
| House | 9,055 (81%) | $1,203,259 |
|
| 65 |
+
| Townhouse | 952 (9%) | $936,054 |
|
| 66 |
+
| Unit | 1,132 (10%) | $640,529 |
|
| 67 |
+
|
| 68 |
+
**Finding:** Houses cost $560K more than units on average.
|
| 69 |
+
|
| 70 |
+
---
|
| 71 |
+
|
| 72 |
+
### Research Question 2: Distance from CBD
|
| 73 |
+
|
| 74 |
+

|
| 75 |
+
|
| 76 |
+
| Distance | Avg Price |
|
| 77 |
+
|----------|-----------|
|
| 78 |
+
| 0-5 km | $1,361K |
|
| 79 |
+
| 10-15 km | $1,046K |
|
| 80 |
+
| 30+ km | $597K |
|
| 81 |
+
|
| 82 |
+
**Finding:** Every 5km from CBD reduces price by ~$100-150K. Correlation: -0.31
|
| 83 |
+
|
| 84 |
+
---
|
| 85 |
+
|
| 86 |
+
### Research Question 3: Regional Price Differences
|
| 87 |
+
|
| 88 |
+

|
| 89 |
+
|
| 90 |
+
**Finding:** Southern Metropolitan commands 3.5× premium over Western Victoria.
|
| 91 |
+
|
| 92 |
+
---
|
| 93 |
+
|
| 94 |
+
### Correlation Analysis
|
| 95 |
+
|
| 96 |
+

|
| 97 |
+
|
| 98 |
+
**Top Correlations with Price:**
|
| 99 |
+
- Rooms: +0.41
|
| 100 |
+
- Bathroom: +0.40
|
| 101 |
+
- Distance: -0.31
|
| 102 |
+
|
| 103 |
+
---
|
| 104 |
+
|
| 105 |
+
## 📈 Part 3: Baseline Model
|
| 106 |
+
|
| 107 |
+
| Metric | Value |
|
| 108 |
+
|--------|-------|
|
| 109 |
+
| Algorithm | Linear Regression |
|
| 110 |
+
| Features | 7 numeric |
|
| 111 |
+
| R² Score | 0.4048 |
|
| 112 |
+
| MAE | $323,527 |
|
| 113 |
+
| RMSE | $425,453 |
|
| 114 |
+
|
| 115 |
+
**Interpretation:** Model explains only 40% of price variance. Significant room for improvement through feature engineering.
|
| 116 |
+
|
| 117 |
+
---
|
| 118 |
+
|
| 119 |
+
## 🔧 Part 4: Feature Engineering
|
| 120 |
+
|
| 121 |
+
### Features Expanded: 7 → 43
|
| 122 |
+
|
| 123 |
+
| Category | Features | Count |
|
| 124 |
+
|----------|----------|-------|
|
| 125 |
+
| Original Numeric | Rooms, Distance, Bathroom, etc. | 7 |
|
| 126 |
+
| One-Hot Encoded | Type, Method, Regionname | 16 |
|
| 127 |
+
| Derived Features | Ratios, indicators, bins | 7 |
|
| 128 |
+
| Cluster Features | Labels + distances to centroids | 8 |
|
| 129 |
+
| **Total** | | **43** |
|
| 130 |
+
|
| 131 |
+
### New Derived Features
|
| 132 |
+
|
| 133 |
+
| Feature | Purpose |
|
| 134 |
+
|---------|---------|
|
| 135 |
+
| Rooms_per_Bathroom | Property efficiency |
|
| 136 |
+
| Total_Spaces | Overall size indicator |
|
| 137 |
+
| Land_per_Room | Land generosity |
|
| 138 |
+
| Is_Inner_City | Location premium flag |
|
| 139 |
+
| Luxury_Score | Amenity indicator |
|
| 140 |
+
|
| 141 |
+
---
|
| 142 |
+
|
| 143 |
+
### K-Means Clustering (k=4)
|
| 144 |
+
|
| 145 |
+

|
| 146 |
+
|
| 147 |
+
We used the Elbow Method and Silhouette Score to determine k=4 clusters.
|
| 148 |
+
|
| 149 |
+

|
| 150 |
+
|
| 151 |
+
| Cluster | Profile | Avg Price | Avg Distance | Avg Rooms |
|
| 152 |
+
|---------|---------|-----------|--------------|-----------|
|
| 153 |
+
| 0 | Compact Inner Units | $835K | 8.0 km | 2.0 |
|
| 154 |
+
| 1 | Premium Family Estates | $1.48M | 12.9 km | 4.2 |
|
| 155 |
+
| 2 | Outer Suburban Affordable | $998K | 13.7 km | 3.0 |
|
| 156 |
+
| 3 | Inner City Houses | $1.18M | 7.9 km | 3.1 |
|
| 157 |
+
|
| 158 |
+
**Key Insight:** Two distinct pricing drivers discovered:
|
| 159 |
+
- **Location premium** (Clusters 0 & 3): Close to CBD
|
| 160 |
+
- **Size premium** (Clusters 1 & 2): Larger properties
|
| 161 |
+
|
| 162 |
+
---
|
| 163 |
+
|
| 164 |
+
## 🎯 Part 5: Improved Regression Models
|
| 165 |
+
|
| 166 |
+

|
| 167 |
+
|
| 168 |
+
| Model | R² Score | MAE | Improvement |
|
| 169 |
+
|-------|----------|-----|-------------|
|
| 170 |
+
| Baseline Linear Reg | 0.4048 | $323,527 | - |
|
| 171 |
+
| Improved Linear Reg | 0.6302 | $244,654 | +55.7% |
|
| 172 |
+
| Random Forest | 0.7752 | $178,455 | +91.5% |
|
| 173 |
+
| **Gradient Boosting** | **0.7900** | **$172,891** | **+95.1%** |
|
| 174 |
+
|
| 175 |
+
### Feature Importance (Random Forest)
|
| 176 |
+
|
| 177 |
+

|
| 178 |
+
|
| 179 |
+
**Top 5 Most Important Features:**
|
| 180 |
+
|
| 181 |
+
| Rank | Feature | Importance |
|
| 182 |
+
|------|---------|------------|
|
| 183 |
+
| 1 | Regionname_Southern Metropolitan | 0.242 |
|
| 184 |
+
| 2 | Distance | 0.172 |
|
| 185 |
+
| 3 | Type_h (House) | 0.137 |
|
| 186 |
+
| 4 | Dist_to_Cluster_0 | 0.099 |
|
| 187 |
+
| 5 | Landsize | 0.062 |
|
| 188 |
+
|
| 189 |
+
**Key Insights:**
|
| 190 |
+
- Location dominates (Region + Distance)
|
| 191 |
+
- Clustering features in top 15 (validated approach)
|
| 192 |
+
- Engineered features proved valuable
|
| 193 |
+
|
| 194 |
+
---
|
| 195 |
+
|
| 196 |
+
## 🏆 Part 6: Regression Winner
|
| 197 |
+
|
| 198 |
+
### Gradient Boosting Regressor
|
| 199 |
+
|
| 200 |
+
| Metric | Value |
|
| 201 |
+
|--------|-------|
|
| 202 |
+
| R² Score | 0.7900 |
|
| 203 |
+
| MAE | $172,891 |
|
| 204 |
+
| RMSE | $252,728 |
|
| 205 |
+
| Improvement over Baseline | +95.1% |
|
| 206 |
+
|
| 207 |
+
**Why Gradient Boosting Won:**
|
| 208 |
+
- Captures non-linear relationships
|
| 209 |
+
- Sequential learning corrects errors iteratively
|
| 210 |
+
- Best balance of accuracy and generalization
|
| 211 |
+
|
| 212 |
+
**Saved as:** `regression_model_gradient_boosting.pkl`
|
| 213 |
+
|
| 214 |
+
---
|
| 215 |
+
|
| 216 |
+
## 🔄 Part 7: Regression to Classification
|
| 217 |
+
|
| 218 |
+
We converted continuous Price into 3 balanced categories using quantile binning:
|
| 219 |
+
|
| 220 |
+

|
| 221 |
+
|
| 222 |
+
| Class | Price Range | Count | Percentage |
|
| 223 |
+
|-------|-------------|-------|------------|
|
| 224 |
+
| Low | < $800,000 | 3,593 | 32.3% |
|
| 225 |
+
| Medium | $800K - $1.24M | 3,759 | 33.7% |
|
| 226 |
+
| High | > $1.24M | 3,787 | 34.0% |
|
| 227 |
+
|
| 228 |
+
**Balance:** Imbalance ratio of 1.05 - classes are well balanced.
|
| 229 |
+
|
| 230 |
+
---
|
| 231 |
+
|
| 232 |
+
### Precision vs Recall Analysis
|
| 233 |
+
|
| 234 |
+
**For housing price prediction, Precision is more important:**
|
| 235 |
+
|
| 236 |
+
| Error Type | Meaning | Consequence |
|
| 237 |
+
|------------|---------|-------------|
|
| 238 |
+
| **False Positive** | Predict High, actually Low | Buyer overpays significantly |
|
| 239 |
+
| False Negative | Predict Low, actually High | Seller underprices |
|
| 240 |
+
|
| 241 |
+
**Conclusion:** False Positives are worse for buyers - prioritize Precision.
|
| 242 |
+
|
| 243 |
+
---
|
| 244 |
+
|
| 245 |
+
## 📊 Part 8: Classification Models
|
| 246 |
+
|
| 247 |
+

|
| 248 |
+
|
| 249 |
+
| Model | Accuracy |
|
| 250 |
+
|-------|----------|
|
| 251 |
+
| Logistic Regression | 71.1% |
|
| 252 |
+
| Random Forest | 77.1% |
|
| 253 |
+
| **Gradient Boosting** | **78.9%** |
|
| 254 |
+
|
| 255 |
+
### Winner Performance: Gradient Boosting Classifier
|
| 256 |
+
|
| 257 |
+
| Class | Precision | Recall | F1-Score |
|
| 258 |
+
|-------|-----------|--------|----------|
|
| 259 |
+
| Low | 0.85 | 0.86 | 0.85 |
|
| 260 |
+
| Medium | 0.69 | 0.70 | 0.70 |
|
| 261 |
+
| High | 0.83 | 0.81 | 0.82 |
|
| 262 |
+
|
| 263 |
+
**Observations:**
|
| 264 |
+
- Medium class hardest to predict (borders both Low and High)
|
| 265 |
+
- High precision for High class (0.83) - reliable for buyers
|
| 266 |
+
- Gradient Boosting wins both regression AND classification
|
| 267 |
+
|
| 268 |
+
**Saved as:** `classification_model_gradient_boosting.pkl`
|
| 269 |
+
|
| 270 |
+
---
|
| 271 |
+
|
| 272 |
+
## 📁 Repository Files
|
| 273 |
+
|
| 274 |
+
| File | Description | Size |
|
| 275 |
+
|------|-------------|------|
|
| 276 |
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| `regression_model_gradient_boosting.pkl` | Regression model (R²=0.79) | 419 KB |
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| 277 |
+
| `classification_model_gradient_boosting.pkl` | Classification model (78.9%) | 1.15 MB |
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| 278 |
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| `scaler.pkl` | Regression StandardScaler | 2.32 KB |
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| 279 |
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| `classification_scaler.pkl` | Classification StandardScaler | 2.32 KB |
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| 280 |
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| `feature_names.pkl` | 43 feature names | 762 B |
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| 281 |
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| `Assignment_2_....ipynb` | Complete Jupyter notebook | 6.48 MB |
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| 282 |
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---
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## 💡 Key Takeaways
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### What Worked Well
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1. **Feature engineering was crucial** - Linear Regression R² improved from 0.40 to 0.63 (+55%)
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| 289 |
+
2. **Clustering added value** - 4 cluster features in top 15 importance
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| 290 |
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3. **Ensemble methods excel** - Gradient Boosting won both tasks
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4. **Location is paramount** - Region and distance dominate predictions
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+
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### Challenges
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1. Medium price class hardest to predict (boundary cases)
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| 295 |
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2. Multicollinearity between Rooms and Bedroom2 (0.94 correlation)
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| 296 |
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3. Right-skewed price distribution required careful outlier handling
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| 297 |
+
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### Lessons Learned
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1. Always establish a baseline before feature engineering
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2. EDA guides modeling decisions
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+
3. Clustering reveals hidden patterns
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4. Same algorithm can perform dramatically different with good features
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---
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## 📊 Final Summary
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| Task | Baseline | Final Model | Improvement |
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| 309 |
+
|------|----------|-------------|-------------|
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| Regression R² | 0.4048 | 0.7900 | +95.1% |
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| 311 |
+
| Regression MAE | $323,527 | $172,891 | -46.6% |
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| 312 |
+
| Classification Accuracy | - | 78.9% | - |
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| 313 |
+
| Features Used | 7 | 43 | +36 |
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| 314 |
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---
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## 👤 Author
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**David Wilfand**
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Assignment #2: Classification, Regression, Clustering, Evaluation
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| 323 |
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---
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## 📚 References
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- **Dataset:** [Melbourne Housing Snapshot - Kaggle](https://www.kaggle.com/datasets/dansbecker/melbourne-housing-snapshot)
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| 328 |
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- **Tools:** scikit-learn, pandas, numpy, matplotlib, seaborn
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| 329 |
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- **Algorithms:** Linear Regression, Random Forest, Gradient Boosting, K-Means
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