Define silhouette coefficient? Explain the interpretation of it as per your understanding with an example. The Centroid for 4 data points was found to be (9,7,6). Given below are three of the 4 points, find the 4th point. Explain each step.    P1 = (9,8,7) P2 = (7,6,5) P3 = (10,8,6) P4 = (?, ?, ?)

PCA tried to find new basis vectors (axes) that maximize the variance of the instances. Is True or False?

1. Suppose that a set of samples x1, x2, ..., xn, all real numbers, are drawn i.i.d. from the same distribution. Also assume that this distribution is a Gaussian distribution, which can be represented as N(u, o²). Write a function that accepts a set of samples and returns the MLE estimator for u. NOTE: The code below will be evaluated by a Python 2.7 interpreter. def mle(samples): pass Run Reset Once your function is correct, your will receive a submission code that you should input into the answer field. Enter answer here 2. In the previous question, you were asked to write a function for an estimator of a parameter of a distribution. Is the result of this function, an estimator, a random variable? Yes No

Consider a dataset D1 with 150 samples, labeled using two labels, L1 and L2; out of 150 samples, 26 are labeled with L1 and 124 are labeled with L2 (this is the ground truth). Consider a dataset D2 with 50 samples, also labeled using L1 and L2 as labels; out of 50 samples, 39 are labeled with L1 and 11 are labeled with L2 (this is the ground truth). Compute the gini index of the combined dataset and the gini indices of each dataset D1 and D2.