Mínimos cuadrados

1. RESORTE 2 (n=5)
TABLA 2
X Y X.Y
N X(cm) F(gf) x.F
1 0.3 10 3 0.09 100 0.836582122 0.69986965
2 0.65 20 13 0.4225 400 -1.002384993 1.00477567
3 0.93 30 27.9 0.8649 900 -0.473558685 0.22425783
4 1.2 40 48 1.44 1600 0.393523827 0.154861
5 1.5 50 75 2.25 2500 0.245837729 0.06043619
4.58 150 166.9 5.0674 5500 2.14420034
a 33.8256203
b -0.98426822
r 0.99892732
0.90528209
0.91136327
33.8256203 -0.98426822
0.916 0.90528209 0.91136327
0.9978558 0.8454191
1396.12299 3
30
𝑥2
.
𝐹2
𝜎 𝑎
𝜎𝑏
𝐹𝑖 − 𝑎𝑋𝑖 − 𝑏 𝐹𝑖 − 𝐹𝑖
´ 2
𝑥2
𝑌2
𝑌𝑖 − 𝑎𝑋𝑖 − 𝑏 𝑌𝑖 − 𝑌𝑖
´ 2
.
y = 33.826x - 0.9843
R² = 0.9979
0
10
20
30
40
50
60
0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6
F(gf)
X(cm)
GRÁFICA 2
𝑋 =
𝑥
𝑛
=
𝑌 =
𝑦
𝑛
=