E-33
u Regression coefficient C
u Regression coefficient A
A =        – B
(
 
)
 – C
(
 
)
n
Σy
n
Σx
n
Σx
2
u Regression coefficient B
B = (Sxy
.
Sx
2
x
2 
– Sx
2
y
.
Sxx
2
) ÷ {Sxx
.
Sx
2
x
2 
– (Sxx
2
)
2
}
(Σx)
2
(Σx
.
Σx
2
)
C = Sx
2
y
.
Sxx
 
– S
xy
.
Sxx
2
 
Sxx = Σx
2
–          , Sxy = Σxy –
Sxx
2
 = Σx
3
 
–                 ,
 
Sx
2
x
2
 = Σx
4
 
– 
Sx
2
y = Σx
2
y – 
n
n
(Σx
2
)
2
n
n
(Σx
2
.
Σy
)
n
(Σx
.
Σy
)
5 Inverse Regression    y = A + B
 
ⴢ
 
1
/x
u Correlation coefficient 
r
u Regression coefficient A
A =
n
Σy 
– B
.
Σx
–1
u Regression coefficient B
B =
Sxx 
Sxy 
r
 =
Sxx = Σ(x
–1
)
2 
– 
, 
Syy
 = Σy
2
–
Sxy = Σ(x
–1
)y – 
Sxx
.
Syy 
Sxy
n
(Σx
–1
)
2
n
Σx
–1
.
Σy
n
(Σy)
2
6 Quadratic Regression    y = A + Bx + Cx
2