Casio FX-82MS Manuale Utente

Pagina di 40
E-27
Logarithmic, Exponential, Power, and Inverse
Regression
• Use the same key operations as linear regression to re-
call results for these types of regression.
• The following shows the regression formulas for each
type of regression.
Quadratic Regression
• The regression formula for quadratic regression is:
y
 = A + B
x
 + C
x
2
.
• Example:
Perform quadratic regression to de-
termine the regression formula terms
for the data nearby. Next, use the
regression formula to estimate the
values for 
n
 (estimated value of 
y
) for
x
i
 = 16 and 
m
 (estimated value of 
x
)
for 
y
i
 = 20.
In the REG Mode:
r 3
(Quad)
A
 
B
 
1
 (Scl) 
=
 (Stat clear)
29 
P
 1.6 
S
 50 
P
 23.5 
S
74 
P
 38.0 
S
 103 
P
 46.4 
S
118 
P
 48.0 
S
Regression Coefficient A = 
–35.59856934
A X r r 1 =
Regression Coefficient B = 
1.495939413
A X r r 2 =
Regression Coefficient C = 
– 6.71629667 
10 
–3
A X r r 3 =
n
 when 
x
i
 is 16 = 
–13.38291067
16 
A X r r r 3 =
m
1
 when 
y
i
 is 20 = 
47.14556728
20 
A X r r r 1 =
m
2
 when 
y
i
 is 20 = 
175.5872105
20 
A X r r r 2 =
Logarithmic Regression y 
 A  B ⴢ In x
Exponential Regression y 
 A ⴢ 
e
B
·
x
 (In y 
 In A + Bx)
Power Regression
y
 
 A ⴢ 
x
B
 (In y 
 In A + BIn x)
Inverse Regression
y
 
 A  B ⴢ 
1
/
x
x
i
y
i
29
1.6
50
23.5
74
38.0
103
46.4
118
48.0