Questions a) to f) are based on the following table which is the output from a Decision Tree to Ruleset node. The target variable is Churn and consider Yes to be the positive class and No to be the negative class.

a) How many leaves are in the learnt decision tree?

b) How many leaves classify the observation as negative class and how many leaves classify the observation as positive class?

c) Which rule returns the highest predicted probability for the positive class? What is this probability? Show your calculation.

d) Which rule returns that highest predicted probability for the negative class? What is this probability? Show your calculation.

e) If we use the about rules to classify observations, what will a customer be classified as who has a tenure of 10 years, fiber optic internet service and a two-year contract?

f) If we use the about rules to classify observations, what will a customer be classified as who has a tenure of 10 years, fiber optic internet service and a month-to-month contract?

Outcome Record Count Number of Correct Yes 747.0 521.0 Yes 160.0 92.0 No 281.0 163.0 Rule Condition ID #1 Stenure$ 15.5 AND SInternet Service$ IN ("Fiber optic") AND SContract$ IN ("Month-to-month") $TotalCharges$ 2393.75 AND SPayment Methods IN ("Electronic check") AND Stenures > 15.5 AND #2 $Internet Service$ IN ("Fiber optic") AND $Contract$ IN ("Month-to-month") $TotalCharges > 2393.75 AND SPayment Method$ IN ("Electronic check") AND Stenures > 15.5 AND #3 $Internet Service$ IN ("Fiber optic") AND $Contract$ IN ("Month-to-month") SPayment Methods IN ("Mailed check", "Bank transfer #4 (automatic)", "Credit card (automatic)") AND Stenure > 15.5 AND $Internet Service$ IN ("Fiber optic") AND $Contract$ IN ("Month-to-month") $Online Security$ IN ("No") AND $tenures 4.5 AND SInternet Services IN ("DSL", "No") AND SContracts IN ("Month-to-month") #8 $Contract$ IN ("One year", "Two year") AND TRUE No 362.0 248.0 Yes 276.0 159.0 No 249.0 181.0 No 801.0 648.0 No 2406.0 2235.0 Outcome Record Count Number of Correct Yes 747.0 521.0 Yes 160.0 92.0 No 281.0 163.0 Rule Condition ID #1 Stenure$ 15.5 AND SInternet Service$ IN ("Fiber optic") AND SContract$ IN ("Month-to-month") $TotalCharges$ 2393.75 AND SPayment Methods IN ("Electronic check") AND Stenures > 15.5 AND #2 $Internet Service$ IN ("Fiber optic") AND $Contract$ IN ("Month-to-month") $TotalCharges > 2393.75 AND SPayment Method$ IN ("Electronic check") AND Stenures > 15.5 AND #3 $Internet Service$ IN ("Fiber optic") AND $Contract$ IN ("Month-to-month") SPayment Methods IN ("Mailed check", "Bank transfer #4 (automatic)", "Credit card (automatic)") AND Stenure > 15.5 AND $Internet Service$ IN ("Fiber optic") AND $Contract$ IN ("Month-to-month") $Online Security$ IN ("No") AND $tenures 4.5 AND SInternet Services IN ("DSL", "No") AND SContracts IN ("Month-to-month") #8 $Contract$ IN ("One year", "Two year") AND TRUE No 362.0 248.0 Yes 276.0 159.0 No 249.0 181.0 No 801.0 648.0 No 2406.0 2235.0