Question

Find the parabola of the form y=ax^2+b which best fits the points (1,0), (5,5), (7,10) by minimizing the sum of squares, S, given by S=(a+b)^2+(25a+b−5)^2+(49a+b−10)^2

Answer 1

thank you both

Answer 2

solve:\[0=a+b\\
5=25a+b
24a=5\implies a=5/24
b=-5/24
\]

Answer 3

Thank you