Assume there are 3,600 cases in the validation dataset, and 12% of these cases have a value of 1 for churn (the primary/positive event). Question is based on data for the 3,600 cases (see table below). Cumulative Gain Cumulative Lift 6.84 4.01 6.88 6.06 3.15 5.54 1.82 2.62 3.97 Model Decision Tree Logistic Regression Neural Network Decision Tree Logistic Regression Neural Network Decision Tree Logistic Regression Neural Network Decision Tree Logistic Regression Neural Network Depth (% Contacted) 5 5 5 10 10 10 15 15 15 20 20 20 34.42 20.19 34.62 64.90 36.06 62.50 73.96 49.04 82.21 78.39 59.13 86.54 0.87 2.01 0.86

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If the Cumulative Gain at a depth of 10% for the Decision Tree is converted to number of primary/positive event cases, what will be the number of cases?  Show your calculation

The table provides data on the performance of three predictive models—Decision Tree, Logistic Regression, and Neural Network—evaluated on a validation dataset with 3,600 cases, where 12% of these cases are labeled 1 for churn (the primary/positive event).

### Table Details:

- **Columns**:
  - **Model**: The type of predictive model used.
  - **Depth (% Contacted)**: The percentage of the total dataset contacted, depicted in values of 5, 10, 15, and 20 percent.
  - **Cumulative Gain**: This shows the percentage of positive cases (churn) captured by contacting the top percentage of predicted cases.
  - **Cumulative Lift**: This represents the ratio of the cumulative gain to the expected gain if contacts are made randomly, indicating the model’s effectiveness.

### Data Breakdown:
- At 5% depth:
  - **Decision Tree** achieves a 34.42 cumulative gain, with a lift of 6.84.
  - **Logistic Regression** achieves a 20.19 cumulative gain, with a lift of 4.01.
  - **Neural Network** achieves a 34.62 cumulative gain, with a lift of 6.88.

- At 10% depth:
  - **Decision Tree** achieves a 64.90 cumulative gain, with a lift of 6.06.
  - **Logistic Regression** achieves a 36.06 cumulative gain, with a lift of 3.15.
  - **Neural Network** achieves a 62.50 cumulative gain, with a lift of 5.21.

- At 15% depth:
  - **Decision Tree** achieves a 73.96 cumulative gain, with a lift of 1.82.
  - **Logistic Regression** achieves a 49.04 cumulative gain, with a lift of 2.62.
  - **Neural Network** achieves an 82.21 cumulative gain, with a lift of 3.97.

- At 20% depth:
  - **Decision Tree** achieves a 78.39 cumulative gain, with a lift of 0.87.
  - **Logistic Regression** achieves a 59.13 cumulative gain, with a lift of 2.01.
  - **Neural Network** achieves an 86.54 cumulative gain, with a lift of 0.86
Transcribed Image Text:The table provides data on the performance of three predictive models—Decision Tree, Logistic Regression, and Neural Network—evaluated on a validation dataset with 3,600 cases, where 12% of these cases are labeled 1 for churn (the primary/positive event). ### Table Details: - **Columns**: - **Model**: The type of predictive model used. - **Depth (% Contacted)**: The percentage of the total dataset contacted, depicted in values of 5, 10, 15, and 20 percent. - **Cumulative Gain**: This shows the percentage of positive cases (churn) captured by contacting the top percentage of predicted cases. - **Cumulative Lift**: This represents the ratio of the cumulative gain to the expected gain if contacts are made randomly, indicating the model’s effectiveness. ### Data Breakdown: - At 5% depth: - **Decision Tree** achieves a 34.42 cumulative gain, with a lift of 6.84. - **Logistic Regression** achieves a 20.19 cumulative gain, with a lift of 4.01. - **Neural Network** achieves a 34.62 cumulative gain, with a lift of 6.88. - At 10% depth: - **Decision Tree** achieves a 64.90 cumulative gain, with a lift of 6.06. - **Logistic Regression** achieves a 36.06 cumulative gain, with a lift of 3.15. - **Neural Network** achieves a 62.50 cumulative gain, with a lift of 5.21. - At 15% depth: - **Decision Tree** achieves a 73.96 cumulative gain, with a lift of 1.82. - **Logistic Regression** achieves a 49.04 cumulative gain, with a lift of 2.62. - **Neural Network** achieves an 82.21 cumulative gain, with a lift of 3.97. - At 20% depth: - **Decision Tree** achieves a 78.39 cumulative gain, with a lift of 0.87. - **Logistic Regression** achieves a 59.13 cumulative gain, with a lift of 2.01. - **Neural Network** achieves an 86.54 cumulative gain, with a lift of 0.86
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