You are given the following dataset with the price of diamonds (in $) as a function of their length and width (in mm). Your task is to build a predictive tool that when given the measurements of a new diamond that comes in, it can return its predicted value.

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4. You are given the following dataset with the price of diamonds [in $1 as a function of their length and width {in mm]. Your task is to build a predictive tool that when given the measurements of a new diamond tltat comes in. it can return its predicted value. _l--l- _I_E-l- a] Formulate the problem as a linear regression problem and propose how to solve it [objective function. nding the weights. initialization. etc.) [Spt] h] Find the optimal weights by using Ordinary Least Squares [lpt] c] Find the optimal weights by using gradient descend {3 iterations total]. Assume the weights are initialized at [w] . iii-'2} = [1, 111mm] d] What is the Ttralue ot'a diamond with length of 3mm and width of l nun?[5pt]