Minimize the sum of absolute deviation

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Reference no: EM13962528

1. (Curve Fitting:) 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

Reference no: EM13962528

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