Question: Find a system of equations whose solution yields the coefficients a, b, and c for the least squares regression quadratic for the points (x, y),

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

y = ax + bx + c

for the points (x₁, y₁), (x₂, Y₂),..., (xn, yn) by minimizing the
sum

y = ax + bx + c

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