regresion
2
Ajustar un polinomio de segundo grado con los datos de la siguiente tabla xi Yi 0 2.1 1 7.7 2 13.6 3 27.2 4 40.9 5 61.1 Sum 15 Sum 152.6 ∑ Xi=15 ∑ Yi=152.6 ∑ xi 2 =55 ∑ xi 3 =225 ∑ xi 4 =979 ∑ Xi ∑ Yi=585.6 ∑ Xi 2 ∑ Yi =2488.8 y=a 0 +a 1 x + a 2 x 2 6 15 55 15 55 225 55 225 979 152.6 585.6 2488.8 R2 (-6)+R1 (15) 6 15 55 0 −105 −525 55 225 979 152.6 −1224.6 2488.8 R3 (-6)+R1 (55) 6 15 55 0 −105 −525 0 −525 −2849 152.6 −1224.6 −6539.8 R3 (105)+R2 (-525) 6 15 55 0 −105 −525 0 0 −23520 152.6 −1224.6 − 43764 a 0 a 1 a 2 a 2 = −43764 −23520 =1.8607 −105 a 1 −525 ( 1.8607) =−1224.6
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Transcript of regresion
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
