Raport de cercetare - Lorentz JÄNTSCHI

MSE = 0.144
MSE 2 = 0.0207
r = 0.833
r 2 a = √M(Y
= 0.694
2 )/M(X 2 4 liniară 4 Y=aX ) a = 0.503
MSE = 0.142
MSE 2 = 0.0202
r = 0.833
r 2 = 0.694
(aX/b-Y/b+1) 2
5 liniară 5 Y=aX+b = a = 0.580
min
b = 0.149
MSE = 0.078
MSE 2 = 0.0061
r = 0.833
r 2 = 0.694
(Y-aX-b) 2 6 liniară 6 Y=aX+b = min a = 0.445
b = 0.229
MSE = 0.068
MSE 2 = 0.0047
r = 0.833
r 2 = 0.694
(X-Y/a+b/a) 2 7 liniară 7 Y=aX+b = min a = 0.289
b = 14.198
MSE = 22.34
MSE 2 = 449
r = 0.833
r 2 = 0.694
a = √M(Y 2 )/M(X 2 8 liniară 8 Y=aX+b ) a = 0.374
b= M(Y)-aM(X) b = 0.275
MSE = 0.071
MSE 2 = 0.0051
r = 0.833
r 2 = 0.694
9 hiperbolică 1 (X+a)(Y+b)-c=0 a, b şi c după a = -1336
formulele de mai jos b = 1410
c = -1112
MSE = 0.378
MSE 2 = 0.1425
r = 0.833
r 2 = 0.694
C(X,Y) = M(XY) −M(X)M(Y) , c = ab + aM(Y) + bM(X) + M(XY)
2 2
2
M(XY)C(X,XY) − M(X )C(Y,XY) + M(X)M(Y) ( M(XY ) −M(X
Y) )
a =
2 2
M(Y )C(X,X) − M(XY)C(X,Y) + M(X)M(Y) M(XY) −M(X
)
b =
( )
( 2 )
( )
2 2
M(XY)C(Y,XY) − M(Y )C(X,XY) + M(X)M(Y) M(X Y) −M(XY
)
2 2
M(Y )C(X,X) − M(XY)C(X,Y) + M(X)M(Y) M(XY) −M(X
)
Y=a+bX -1
(X(Y-a)-b) 2 = min
10 hiperbolică 2 a = 0.855
b = -0.038
MSE = 0.119
MSE 2 = 0.0142
r = 0.923
10