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Cubic Regression
Model Formula: y = a·x
3
+ b·x
2
+ c·x + d
a
: cubic regression coefficient
b : quadratic regression coefficient
c : linear regression coefficient
d : regression constant term (y-intercept)
r
2
: coefficient of determination
MSe :mean square error
Quartic Regression
Model Formula: y = a·x
4
+ b·x
3
+ c·x
2
+ d·x + e
a
: quartic regression coefficient
b : cubic regression coefficient
c : quadratic regression coefficient
d : linear regression coefficient
e : regression constant term (y-intercept)
r
2
: coefficient of determination
MSe :mean square error
• MSe =
Σ
1
n – 4
i=1
n
(yi – (a·xi
3
+ b·xi
2
+ c·xi
+d ))
2
• MSe =
Σ
1
n – 5
i=1
n
(yi – (a·xi
4
+ b·xi
3
+ c·xi
2
+ d·xi
+ e))
2
7-5-8
Graphing Paired-Variable Statistical Data