Max's reasoning is that for some models, K(h) = e-|h-yil is used to compute how likely prediction h will appear given the observation yi hence it is called “likelihood.” Then, we should attempt to maximize the chance of getting the prediction h, given the set of observations. In this problem, we'll see if Max has a good idea. a) On the axes below, sketch a graph of the basic shape of the likelihood function K(h) = e−|h—yi|¸ Label key points with their coordinates. Explain, based on the graph, why larger values of K(h) correspond to better predictions h. K(h) 4 Yi ►h

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
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Max's reasoning is that for some models, K(h) = e-|h-yil is used to compute how likely prediction h will
appear given the observation yi hence it is called “likelihood.” Then, we should attempt to maximize the
chance of getting the prediction h, given the set of observations. In this problem, we'll see if Max has a good
idea.
a) On the axes below, sketch a graph of the basic shape of the likelihood function K(h) = e−|h—yi|¸
Label key points with their coordinates. Explain, based on the graph, why larger values of K(h)
correspond to better predictions h.
K(h)
4
Yi
►h
Transcribed Image Text:Max's reasoning is that for some models, K(h) = e-|h-yil is used to compute how likely prediction h will appear given the observation yi hence it is called “likelihood.” Then, we should attempt to maximize the chance of getting the prediction h, given the set of observations. In this problem, we'll see if Max has a good idea. a) On the axes below, sketch a graph of the basic shape of the likelihood function K(h) = e−|h—yi|¸ Label key points with their coordinates. Explain, based on the graph, why larger values of K(h) correspond to better predictions h. K(h) 4 Yi ►h
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