Casio CFX-9850GB PLUS, User Manual

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Quadratic/Cubic/Quartic Regression Graph
A quadratic/cubic/quartic regression graph represents connection of the data points of a
scatter diagram. It uses the method of least squares to draw a curve that passes close to
as many data points as possible. The formula that represents this is quadratic/cubic/quartic
regression.
Ex. Quadratic regression
1
(CALC)
4
(X^2)
6
(DRAW)
Quadratic regression
Model formula .......
y
=
ax
2
+
bx
+
c
a
...............regression second coeffi cient
b
...............regression fi rst coeffi cient
c
...............regression constant term (
y
-intercept)
r
2
.............coeffi cient of determination
MSe
........mean square error
Cubic regression
Model formula .......
y
=
ax
3 +
bx
2 +
cx
+
d
a
...............regression third coeffi cient
b
...............regression second coeffi cient
c
...............regression fi rst coeffi cient
d
...............regression constant term (
y
-intercept)
r
2 .............coeffi cient of determination
MSe
........mean square error
Quartic regression
Model formula .......
y
=
ax
4
+
bx
3
+
cx
2
+
dx
+
e
a
...............regression fourth coeffi cient
b
...............regression third coeffi cient
c
...............regression second coeffi cient
d
...............regression fi rst coeffi cient
e
...............regression constant term (
y
-intercept)
r
2 .............coeffi cient of determination
MSe
........mean square error
6-3-7
Calculating and Graphing Paired-Variable Statistical Data