Based on the plot below, which value of $$k$$ should we pick? (Hint: In one of the programming projects, you learned about the elbow method.)  

Consider the one-dimensional (i.e., = 1) training dataset in the figure below (left side, red dots represent data pairs ).   Building on the previous tree, find the regression tree with three leaves having the smallest training MSE. What is the threshold value

Section 5. Programming Question on Decision Trees (Questions 17-22) Suppose you are asked to predict if a student will be accepted or rejected from the University of Data Science. For this task, you will be working with the Students dataset, containing a binary outcome ‘Accepted’ of 19 students. There are 5 predictors including ‘GPA’, ‘SAT Math Score’, ‘SAT Reading Score’, ‘Sex’, and ‘State’. You may assume that the following import statements have already been included: import pandas as pdimport numpy as npimport matplotlib.pyplot as pltimport graphvizimport seaborn as snsfrom IPython.display import Imageimport pydotplusfrom sklearn import tree The first thing we need to do is read in the dataset with the following code: students = pd.read_csv(‘Students.csv’) students.head()  What output would you expect to see?

The following is classified as a β-lactam antimicrobial agent:                                                                                      1.           Glycopeptides2.           Lincosamides3.           Macrolides4.           Aminoglycosides5.           Cephalosporins

The following drug is most effective in improving High density lipoprotein levels:                                                    1.            Fluvastatin2.            Gemfibrozil3.            Cholestyramine 4.            Acipimox5.            Eicosapentaenoic acid

Section 4. Decision Trees (Questions 10-16) Consider the one-dimensional (i.e., = 1) training dataset in the figure below (left side, red dots represent data pairs ).   Find the regression tree with two leaves having the smallest training MSE. What is the threshold value

The following can be used in the treatment of gout:                                                                                                       1.            Warfarin2.            Phenytoin3.            Probenecid4.            Furosemide5.            Rifampicin

Match the following drugs to their mechanism of action. Each answer can be used more than once or not at all:  

Section 7. Support Vector Machines (Questions 28-31) Consider a dataset with points and two classes (red and blue) indicated in the figure below. (Note that (0, 0) and (1, 1) are blue points whereas (1, 0) and (0, 1) are red points).   Is the dataset linearly separable?

Regarding penicillins:                                                                                                                                                     1.            Are bacteriostatic2.           Are all completely absorbed when administered orally 3.           An example is trimethoprim4.           Are largely administered topically5.           Are cell wall synthesis inhibitors