Ajustar un polinomio de segundo grado con los datos de la siguiente tabla

xi Yi0 2.11 7.72 13.63 27.24 40.95 61.1Sum 15 Sum 152.6

∑ Xi=15 ∑Yi=152.6 ∑ xi2=55 ∑ xi3=225 ∑ xi 4=979 ∑ Xi∑Yi=585.6

∑ Xi2∑ Yi=2488.8

y=a0+a1 x+a2 x2

6 15 5515 55 22555 225 979

152.6585.62488.8

R2 (-6)+R1 (15)

6 15 550 −105 −52555 225 979

152.6−1224.62488.8

R3 (-6)+R1 (55)

6 15 550 −105 −5250 −525 −2849

152.6−1224.6−6539.8

R3 (105)+R2 (-525)

6 15 550 −105 −5250 0 −23520

152.6−1224.6−43764

a0a1a2

a2=−43764−23520

=1.8607

−105a1−525 (1.8607 )=−1224.6

−105a1=−1224.6+976.8675

a1=−247.73−105

=2.3593

6a0+15a1+55a2=152.6

6a0+35.38+102.33=152.6

6a0=14.89 a0=2.4816 y=2.4816+2.3593 x+1.8607 x2