Mathematics - Operations Research
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1. A quantity y is known to depend upon another quantity x. A set of corresponding values has been collected for x and y and is presented in the Table below
X 0.0 0.5 1.0 1.9 2.5 3.0 3.5
Y 1.0 0.9 0.7 2.0 2.4 3.2 2.0
a) Fit the best straight line y = bx + a to this set of data points. The objective is to minimize the sum of absolute deviation of each observed value of y from the value predicted by the linear relationship. Write this as a linear programming model.
b) Fit the best quadratic line y =cx2 + bx + a to this set of data points. The objective is to minimize the sum of absolute deviation of each observed value of y from the value predicted by the linear relationship. Write this as a linear programming model.
(See attached file).
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