U quadratic regression – Casio fx-83MS User Manual
Page 29
E-27
u 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.
u 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
i10
–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 ѿ B ؒ In x
Exponential Regression y
҃ A ؒ
e
B
·
x
(In y
҃ In A + Bx)
Power Regression
y
҃ A ؒ
x
B
(In y
҃ In A + BIn x)
Inverse Regression
y
҃ A ѿ B ؒ
1
/
x
x
i
y
i
29
1.6
50
23.5
74
38.0
103
46.4
118
48.0