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3. Consider the following dataset: Index X X Y 0 0 1 1 0 2 0 1 3 1 1 2 1 2 3

  

3. Consider the following dataset: Index X X Y 0 0 1 1 0 2 0 1 3 1 1 2 1 2 3 4 We wish to fit a multinomial regression model to this dataset. (a) Write down the likelihood function for this dataset. Use one parameter vector ,..., Bpk), k = 1, 2, 3 for each class. (, , . . (b) Does this problem have a unique set of 's as its solution?

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a Likelihood function Let k be the probability of class k where k123 k k0 k1 ... blur-text-image

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