Use the result of Exercise 31 to find the least squares regression quadratic for the given points. Use the regression capabilities of a graphing utility to confirm your results. Use the graphing utility to plot the points and graph the least squares regression quadratic.

(0, 0), (2, 2), (3, 6), (4, 12)

Data from in Exercise 31

Find a system of equations whose solution yields the coefficients a, b, and c for the least squares regression quadratic

for the points (x₁, y₁), (x₂, Y₂),..., (x_n, y_n) by minimizing the sum

Transcribed Image Text:

y = ax² + bx + c