The following data points are expected to follow a functional variation of y = ax2 + bx + c. Obtain the values of a, b, and c by the method of least squares (Quadratic Regression).
x: 1.21 1.35 2.40 2.75 4.50 5.10 7.10 8.10
y: 1.20 1.82 5.00 8.80 19.5 32.5 55.0 80.0
Please show me the work