Derive the equations that minimize the sum of the squared deviations between a set of da...

Derive the equations that minimize the sum of the squared deviations between a set of data points and the quadratic model y = c₁x² + c₂x + c₃. Use the equations to find estimates of c₁, c₂, and c₃ for the following set of data.

Compute D and dmax to bound cmax. Compare the results with your solution to Problem 3 in Section 3.2.

REFERENCE:

3.2.3: For the following data, formulate the mathematical model that minimizes the largestdeviation between the data and the model y = c₁x² + c₂x + c3. If a computer code is available, solve for the estimates of c₁, c₂, and c₃.