Regresiones

REGRESION LINEAL
X Y XY X2 Y2
2 22 44 4 484
4 28 112 16 784
6 35 210 36 1225
8 44 352 64 1936
10 36 360 100 1296
12 39 468 144 1521
14 43 602 196 1849
16 32 512 256 1024
18 37 666324 1369
sumatoria 90 316 3326 1140 11488


B= (n(∑▒〖XY)-(∑▒〖X)(∑▒〖Y)〗〗〗)/(n(∑▒X^2 )-(∑▒X )^2 )
B= (9(3326)-(90)(316))/(9(1140)-(90)^2 )
B=0.6916
"A=" (∑▒〖Y-B∑▒X〗)/n
A=(316-(0.6916)(90))/9
A=28.19
r= ((n∑▒〖XY)-((∑▒〖X)(∑▒〖Y))〗〗〗)/√(((n∑▒X^2 )-∑▒( 〖X)〗^2)((n∑▒〖Y^2)-(∑▒〖〖Y)〗^2)〗〗)
r= (((9)(3326) )-((90)(316) ))/√(((9)(1140))-(90)^2)((9)(11488)-(316)^2))
r=0.5405
FORMULA Y´=A+BX
χΥ Υ'
2 22 29.5732
4 28 30.9564
6 35 32.3396
8 44 33.7228
10 36 35.106
12 39 36.4892
14 43 37.8724
16 32 39.2556
18 37 40.6388





REGRESION LOGARITMICA
χ γ χγ χ2 γ2
0.693147181 2215.249238 0.48045301 484
1.386294361 28 38.8162421 1.92181206 784
1.791759469 35 62.7115814 3.210402 1225
2.079441542 44 91.4954278 4.32407713 1936
2.302585093 36 82.8930633 5.30189811 12962.48490665 39 96.9113593 6.17476106 1521
2.63905733 43 113.479465 6.96462359 1849
2.772588722 32 88.7228391 7.68724822 1024
2.890371758 37 106.943755 8.3542489 1369
sumatoria 19.04015211 316697.222971 44.4195241 11488


Conversiones
∑▒〖X=〗 ∑▒〖lnX; ∑▒〖X^2=∑▒〖(lnX)^2 〗〗〗
∑▒〖XY=∑▒(lnXY)(Y) 〗
B= (n(∑▒〖(lnX)(Y))-(∑▒〖lnX)(∑▒〖Y)〗〗〗)/(n(∑▒lnX^2 )-(∑▒lnX )^2 )
B=(9(697.223)-(19.040)(316))/(9(44.4195)-(19.0401)^2 )
B=6.93
"A=" (∑▒〖Y-B∑▒lnX〗)/n
A= (316-(6.93)(19.0401))/9
A=20.43
r= ((n∑▒〖(lnX)(Y))-((∑▒〖lnX)(∑▒〖Y))〗〗〗)/√(((n∑▒lnX^2 )-∑▒( 〖lnX)〗^2)((n∑▒〖Y^2)-(∑▒〖〖Y)〗^2)〗〗)
r=(((9)(697.223) )-((19.0401)(316) ))/√(((9)(44.195))-(19.0401)^2)((9)(11488)-(316)^2))
r=0.71
FORMULA Y´=A+BlnX
χ Υ Y´
2 22 25.23351
4 28 30.0370199
6 35 32.8468931
8 44 34.8405299
10 36 36.386914712 39 37.6504031
14 43 38.7186673
16 32 39.6440398
18 37 40.4602763






REGRESION EXPONENCIAL
χ γ χγ χ2 γ2
2 3.091042453 6.18208491 4 9.55454345
4 3.33220451 13.328818 16...