Quadratic Regression - Casio fx-100AU User Manual

Sample Covariance = 35
u Logarithmic, Exponential, Power, and Inverse
Regression
• Use the same key operations as linear regression to
recall results for these types of regression.
• The following shows the regression formulas for each
type of regression.
Logarithmic Regression y
Exponential Regression y
Power Regression
Inverse Regression
u Quadratic Regression
• The regression formula for quadratic regression is:
y x
= A + B
• Example:
x
i
29
50 23.5
74 38.0
103 46.4
118 48.0
In the REG Mode:
r 3
(Quad)
A B 1
Regression Coefficient A = –35.59856934
Regression Coefficient B = 1.495939413
Regression Coefficient C = – 6.71629667 i 10
x
2
+ C .
Perform quadratic regression to de-
y
i
termine the regression formula terms
1.6
for the data nearby. Next, use the re-
gression formula to estimate the
values for
x
= 16 and
i
y
for
=
(Scl) (Stat clear)
E A U r 3 ,
A U 3 - A X 1 -
A X r 1 F \
E A U 3 ,
A B In x
·
B
e
A
B
x
y A
A B
y
n
(estimated value of
m
(estimated value of
= 20.
i
P
29 1.6
P
74 38.0
A X r r 1 =
A X r r 2 =
–3
A X r r 3 =
– 29 –
x
(In y In A + Bx)
(In y In A + BIn x)
1
/
x
S P
50
S P
103
P
118
F =
1
y
) for
x
)
S
23.5
S
46.4
S
48.0