added lab 4

2025-10-31 17:55:13 -04:00
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+# exploratory data analysis and models on the epi dataset
+date: 2025-10-13  
+
+## dataset and choices
+- **file**: `epi_results_2024_pop_gdp_v2.csv`
+- **region column**: `region`
+- **response var**: `EPI.new`
+- **regions**: `Sub-Saharan Africa` vs `Latin America & Caribbean`
+
+## 1) variable distributions
+### 1.1 boxplots and histograms (with density!)
+![](figures/box_Sub-Saharan_Africa_EPI.new.png)
+![](figures/box_Latin_America_Caribbean_EPI.new.png)
+![](figures/hist_Sub-Saharan_Africa_EPI.new.png)
+![](figures/hist_Latin_America_Caribbean_EPI.new.png)
+
+### 1.2 qq plot (two-sample)
+![](figures/qq_EPI.new_Sub-Saharan_Africa_vs_Latin_America_Caribbean.png)
+
+## 2) linear models
+### full: EPI.new ~ gdp
+
+### full: EPI.new ~ gdp + population
+
+### 2.2 same models on one region (comparison)
+on region `Sub-Saharan Africa`, the better model is **region Sub-Saharan Africa: EPI.new ~ gdp + population** (r²=0.361, aic=265.4, bic=272.7).
+
+## 3) classification (knn, label = region)
+### model A
+- **k**: 5  |  **accuracy**: 0.5581  |  **test n**: 43
+variables: `c("AGR.new", "AIR.new", "APO.new")`
+![](figures/knn_confusion_model_A.png)
+
+### model B
+- **k**: 5  |  **accuracy**: 0.5116  |  **test n**: 43
+variables: `c("BCA.new", "BDH.new", "CBP.new")`
+![](figures/knn_confusion_model_B.png)
+