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Given the following dataset and assuming the following: There is a linear relationship between x (input) and y (output) values, and accordingly, a decision

   

Given the following dataset and assuming the following: There is a linear relationship between x (input) and y (output) values, and accordingly, a decision was made to use linear regression as a basis for predicting the y value based on a given x value. The learning rate, a = 0.01 k = 1 n (0) (0) B(0) = [00] (i.e., initialize B = B = 0) x y 1 2 2 1 4 5 Answer the following questions: 1) Express the learning model after the first iteration using the Gradient Decent algorithm. 2) Based on the solution of part (1), what is the predicated y value for x = 3? 3) Calculate the cost function (error function) after the first iteration.

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