Suppose you have trained a perceptron algorithm on a binary classification problem using the following dataset: X1X2 Y 111 1-10 -110 -1-1 1 After training, the decision boundary of the perceptron is a straight line passing through the origin that separates the positive and negative examples. The activation function is (if v0. y-1: else y-0). Which of the following options represents the trained weights of this perceptron?

1.) We want to build a model to predict the weight (in Ibs) of a car. This prediction will be based on multiple features of the car, such as: "Number of Cylinders", "Miles Per Gallon", "Production Year", etc. To train the model, we are given 1000 examples of cars along with the feature values and class for each car. What technique could we use in this case? Multiple Linear Regression Simple Linear Regression O K-Means Clustering K-Nearest Neighbors

Researchers are trying to use machine learning algorithms to make redistricting more equitable and efficient. For a sample of six zones (labelled Z1-Z6), each zone can be described by at least one letter (A-F), which is a qualitative measure of that zone. One part of the algorithm is to output a potential district layout, which can only happen if each zone can be matched to exactly one letter.Consider the following descriptions for one sample of six zones: Z1 matches B or D; Z2 matches C, E, or F; Z3 matches A or F; Z4 matches B or D; Z5 matches C or F; and Z6 matches D.(a)  Draw the bipartite graph that models the zones (Z1-Z6) and the letters they match (A-F).(b) Use Hall’s theorem to determine if algorithm will be able to successfully create a district layout.

Sum of Squared Errors: Remember from your statistics courses that if two random variables X and Y are related by a relation YaX+b and you had a set of observations {(1, 1), (2, 2)..... (z.)). then for every estimated values of a and b, the Sum of Squared Errors (SSE) was defined as in the following formula. SSE(-ar-b)². 1-1 The less SSE, the better a and b are estimated. Consider the following fixed list. In this list each sub-list of length two is standing for one pair (z.). Write a function that recieves two numbers a and b and returns the associated SSE. L- [[1, 2], [1.1, 2], [2, 7.1), (2.5, 7.21, (3, 11]]

Consider this evaluation function for Chess: 9* (QWQB) + 5*(RW - RB) + 3*(KW - KB) + 3*(BW - BB) + 1*(PW - PB) where: QW denotes the number of Queens that White has, QB denotes the number of Queens that Black has, and so on (the shapes and letters for pieces are shown below). ด KING QUEEN BISHOP KNIGHT ROOK PAWN Q B K R P Calculate the evaluation function value for the following game state: 1 ♡ 7

Problem 2 The following dataset contains eight items representing colored points on the x-y plane: y color 1 red 1 green 2 blue 3 5 green 4 1 blue 4 4 red 5 blue 4 green Using this data as the training set, run the k-nearest-neighbors classification algorithm (k=1) using square distance and choose the color for a new item with x = 3 and y = 3. 3. 3.