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matematicasregresion
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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
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