beautypg.com

K quadratic/cubic/quartic regression graph – Casio SERIES FX-9860G User Manual

Page 296

background image

20070201

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

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