Which of the following scatterplots is best described as displaying a strong, positive linear relationship between x and y? (A) y 4 3 (B) y 4 3 2 1 0 20 10 60 20 4 3210 106 2 1 x 0 (D) 5 4 3 2 1 0
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- Determine the orthogonal trajectories of the family of electric field lines described by the family (x-c)3 + y2 - c2 (3x-c) = x3Find the linearization L(x) at x=a. Given datasets X: x1 (1, 4), x2 (2, 3), x3 (3, 4), and x4 (5, -3), x5 (6, -1), x6 (7, -1) with label y = (- 1, -1, -1, 1, 1, 1) respectively, find analytically hard margin W and bias b so that you will be able to determine linear discriminant function f(X) = WT . X + b. You may need to draw the points and estimate the boundary decision function that may be used to help you to make a very first guess the parameter W and b. Once you found the correct discriminant function f(X) = WT . X + b, test your function to correctly classify x1 (1, 4) and x4 (5, -3). Please thoroughly describe.
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