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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). Questions

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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). Questions a) to c) are based on data for the 3,600 cases (see table below). Model Cumulative Gain Cumulative Lift Depth (% Contacted) 5 5 5 Decision Tree Logistic Regression Neural Network Decision Tree Logistic Regression Neural Network Decision Tree Logistic Regression Neural Network Decision Tree Logistic Regression Neural Network 10 10 10 15 34.42 20.19 34.62 64.90 36.06 62.50 73.96 49.04 82.21 78.39 59.13 86.54 6.84 4.01 6.88 6.06 3.15 5.54 1.82 2.62 3.97 0.87 2.01 0.86 15 15 20 20 20 a) Which model has the highest Cumulative Lift at a depth of 20%? What is the lift? b) 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. c) If the Cumulative Gain at a depth of 15% for the Neural Network model is converted to number of primary/positive event cases, what will be the number of cases? Show your calculation

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