Quadratic/Cubic/Quartic Regression Graph - Casio Algebra FX 2.0 PLUS User Manual

Calculating and Graphing Paired-Variable Statistical Data
k k k k k 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
4(CALC)e(Quad)
6(DRAW)
Quadratic regression
Model formula .....
a .............
b .............
c .............
r
............ coefficient of determination
2
MSe
........ mean square error
Cubic regression
Model formula .....
a .............
b .............
c .............
d .............
r
............ coefficient of determination
2
MSe
........ mean square error
Quartic regression
Model formula .....
a .............
b .............
c .............
d .............
e .............
r
............ coefficient of determination
2
MSe
........ mean square error
6-3-7
y ax 2 bx
= + +
regression second coefficient
regression first coefficient
regression constant term (
y ax 3 bx 2
= + +
regression third coefficient
regression second coefficient
regression first coefficient
regression constant term (
y ax 4 bx 3
= + +
regression fourth coefficient
regression third coefficient
regression second coefficient
regression first coefficient
regression constant term (
20011101
c
y
-intercept)
cx d
+
y
-intercept)
cx 2 dx e
+ +
y
-intercept)
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