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ml-recall

#weighted-least-squares

1 question from Linear Models & Regularization

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Question 1: Short answer

mediumAI-checkedLinear Models & Regularization

In the regression model y=wx+ϵy = wx + \epsilon with ϵ∼N(0,σ2x2)\epsilon \sim \mathcal{N}(0, \sigma^2 x^2), the noise grows with the input (x∈[1,4]x \in [1, 4], σ\sigma known). Given the training data (x,y)=(1,3),(2,5),(4,10)(x, y) = (1, 3), (2, 5), (4, 10), what is the maximum-likelihood estimate of ww?

a number, 3 decimals