Answer this by using R code:

A logistic classifier was fitted to data, and six fresh observations were used to assess the performance of this

classifier. Here are the fitted logistic probabilities and the observations $($Y values$).$

A$)$ Compute the ROC curve for this classifier and report the coordinates of the curve. To this end, use

thresholding to turn the predicted values into the $\frac{0}{1}$ classes and for each threshold, compute confusion

matrices and the usual performance measures $($FPR$,$TPR$).$ The list of all these performance measures

gives the coordinates of the curve.

B$)$ Compute the area under the curve and write it here AUC $=.$ Briefly comment on the performance

of this classifier.