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Question 5 As vou have seen in the production data and building height data! it is not uncommon to consider a model which does not include the intercept term: Yr 2 Ext 'l' 9i 4&1) We will use the idea of least squares method to obtain an estimate of B. a} Suppose that a candidate value to approximate B is b. Using this notation, what is the predicted value of yi according to model (1}? b} The objective function should be the sum of the squares of the differences between the true yi and predicted value of 1-. Write down this objection function {2:ij as a function of ill c} {Bonus} Show that to minimize 12(1)], b should be chosen to be g = l1=1 xiyi 1r: 2. izlxi Note: This can be obtained bv taking derivative with respect to b. Alternativelv, vou mayr notice that (2(5) is esse ntiallvr a quadratic function of I). Use the result that the minimizer of a 2 z quadratic function (132 + CZ + d = (1(2' + i) + [d ) is z = i. 2:: 4a. 2a, d} Fit model {1} to the following data of stories and height of buildings, the same one as you have t: Height (in feet} seen in Quiz 1: Then use the estimated slope to predict the height ofa building having 4 stories