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Casio FX 9750 Manual

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Vierdegraadsregressie
Formule ..........
y = ax
4
+ bx
3
+ cx
2
+ dx + e
a
..........regressiecoëfficiënt van de vierde graad
b ..........regressiecoëfficiënt van de derde graad
c ..........regressiecoëfficiënt van de tweede graad
d ..........regressiecoëfficiënt van de eerste graad
e ..........regressieconstante (afgesneden stuk op de y-as)
I Logaritmische regressie
Dit regressiemodel geeft y als logaritmische kromme van het voorschrift x . De standaard
logaritmische regressieformule is y = a + b × In x, dus als we stellen dat X = In x, komt de
formule overeen met regressieformule
y = a + bX.
(CALC)(E)(Log)
(DRAW)
Hier volgt de formule voor dit regressiemodel:
y = a + b·ln x
a
..............regressieconstante
b ..............regressiecoëfficiënt
I Exponentiële regressie
Dit regressiemodel geeft y als verhouding van het exponentiële voorschrift van x. De
standaardformule voor een exponentiële regressie is y = a × e
bx
, dus als we de logaritmen van
beide kanten nemen, krijgen we In y = In a + bx. Stel dat Y = In y, en A = In a, dan komt de
formule overeen met de lineaire regressie Y = A + bx.
(CALC)(E)(Exp)
(
aeˆbx) of (abˆx)
(DRAW)
Hier volgt de formule voor dit regressiemodel:
y = a·e
bx
a ..............regressiecoëfficiënt
b ..............regressieconstante
y = a·b
x
a ..............regressieconstante
b ..............regressiecoëfficiënt
I Machtsregressie
Dit regressiemodel geeft y als verhouding van de macht van x. De standaard
machtsregressien formula is y = a × x
b
, dus als we het logaritme aan beide zijden nemen,
krijgen we In y = In a + b × In x. Stel dat X = In x, Y = In y, en A = In a, dan komt de formule
overeen met de lineaire regressie Y = A + bX.
… 155 …


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