𝑥 4 4.2 4.3 4.7
𝑦 102.56 113.18 130.11 142.05
Problema 1 Regresión lineal
x y xy 𝒙𝟐 (𝒚 − 𝒂𝟎 − 𝒂𝟏𝒙)𝟐 (𝒚 − 𝒚)𝟐
4 102.56 410.24 16 5.82353424 377.0393063
4.2 113.18 475.356 17.64 9.79314436 77.39600625
4.3 130.11 559.473 18.49 66.13755625 66.13755625
4.7 142.06 667.682 22.09 6.70758201 403.3068063
suma
𝑦 =
𝑦
𝑛
=
487.91
4
= 121.9775
𝑥 =
𝑥
𝑛
=
17.2
4
= 4.3
𝑎1 =
𝑛 𝑥𝑦 − 𝑥 𝑦
𝑛 𝑥2 − ( 𝑥)
2 =
4 2112.75 − ( 17.2 487.91 )
( 4 74.22 − 17.2 2)
= 56.681
𝑎0 = 𝑦 − 𝑎1𝑥 = 121.9775 − 56.681 4.3 = −121.7508
𝑦 = −121.7508 + 56.681𝑥 𝑒𝑐𝑢𝑎𝑐𝑖ó𝑛
17.2 487.91 2112.751 74.22 88.46181686 923.8796751