This assignment should be done $"$by hand". All necessary calculations should be included in

the submission, as well as brief explanations of what you do$.$ Please submit a soft copy $($by

scanning or by taking photo$)$ that shoms your solutions clearly.

Question $1.$ CART

Base on the training set in Table $1,$ create a full classification tree that estimates the

traffic based on the day of the week, time of the day and the weather condition. Use

the entropy as a purity measure to guide your splitting choices.

Construct a confusion matrix for the performance of your tree on the training data.

What is the misclassification rate, and what is the sensitivity and specificity $($assuming

that 'yes' is the 'important' class$)?$

Construct the confusion matrix that results if your algorithm is applied to the test set

in Table $2.$

Question $2.$ Cluster