Consider a classification problem where we are building a logistic regression classifier. The

task is to predict if a given city has a risk of a disease epidemic or not. The data is defined

using two input features or variables:

a$.$ Size of the city

b$.$ Distance to the nearest city with epidemic

The target is a binary $(0$ no risk and $1-$risk$).$

Consider the following training data set.

a$.$ Develop logistic regression to classify the risk.

b$.$ Construct confusion matrix and compute recall, precision, accuracy, and F$1-$score

c$.$ Develop Receiver Operating Characteristic $($ROC$)$ curve. Is the model accurate? How

much the accuracy of the model

d$.$ Use the developed model to predict if the following new cities have a risk of a disease

epidemic or not. Use probability threshold $(0\mathrm{.}5).$