Scenario A: Messy Retail Sales ExtractYou are analyzing a re…

Scenario A: Messy Retail Sales ExtractYou are analyzing a retail dataset with columns: date (string like “2025-03-01”) region (text with inconsistent capitalization and extra spaces) channel (“Online” or “Store”) price (numeric, may contain missing values) quantity (integer) Assume each row is an order line. You will clean the data and compute KPIs.A boxplot of order revenue by channel shows the Online box is higher with more high outliers. Best business interpretation?

Scenario C: Decision Trees and EnsemblesYou train a decision…

Scenario C: Decision Trees and EnsemblesYou train a decision tree classifier for churn with different maximum depths.You observe the following test performance: Depth 2: Accuracy 0.78, Recall(churn) 0.30 Depth 6: Accuracy 0.82, Recall(churn) 0.40 Depth 20: Accuracy 0.80, Recall(churn) 0.28 A decision tree is often considered manager-friendly because it:

Scenario B: Customer Churn Classification A subscription bus…

Scenario B: Customer Churn Classification A subscription business wants to predict whether a customer will churn (cancel) next month. Target: churn (1 = churned, 0 = stayed). The business cares more about catching likely churners than about occasionally flagging a loyal customer. Which metric best aligns with the goal of catching churners?

Scenario B: Customer Churn ClassificationA subscription busi…

Scenario B: Customer Churn ClassificationA subscription business wants to predict whether a customer will churn (cancel) next month.Target: churn (1 = churned, 0 = stayed).The business cares more about catching likely churners than about occasionally flagging a loyal customer.Which feature would be the most obvious data leakage if included?

When a large tank of high-pressure ideal gas discharges thro…

When a large tank of high-pressure ideal gas discharges through a nozzle, the maximum exit mass flow rate m˙\dot{m} depends on: Tank pressure p0p_0​ Tank temperature T0T_0​ Gas constant RR Specific heat cpc_p​ Nozzle diameter D Task: Using dimensional analysis, express this relationship in dimensionless form. Select the correct answer: