Choose three (x, y) data pairs, and generate a linear model that best fits the data in a least squares sense. For each of the i = 1,2,3 pairs, the equation yi = a + bxi is true. Use the analytical...

Choose three (x, y) data pairs, and generate a linear model that best fits the data in a least squares sense. For each of the i = 1,2,3 pairs, the equation yi = a + bxi is true. Use the analytical technique dJ dDV DV∗ = 0 to solve for the {a, b} coefficient values. Here, the OF is the sum of squared deviations between model and data. Because there are two decision variables, there are two dJ dDV DV∗ = 0 equations, termed the normal equations. They will be linear in coefficients {a, b}. Solve them simultaneously. Show each stage of your process. To verify that you have gotten the right answer, compare your answer to any automated method of curve fitting (such as the trend line function in Excel charts).