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K logarithmic regression graph, K exponential regression graph – Casio fx-9860G SD User Manual

Page 294

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20050401

k Logarithmic Regression Graph

Logarithmic regression expresses

y

as a logarithmic function of

x

. The standard logarithmic

regression formula is

y

=

a

+

b

× In

x

, so if we say that X = In

x

, the formula corresponds to

linear regression formula

y

=

a

+

b

X.

1(CALC)6(g)2(Log)
6(DRAW)

The following is the logarithmic regression model formula.

y

=

a

+

b

ln

x

a .............

regression constant term

b .............

regression coefficient

r ..............

correlation coefficient

r

2

............ coefficient of determination

MSe

........ mean square error

k Exponential Regression Graph

Exponential regression expresses

y

as a proportion of the exponential function of

x

. The

standard exponential regression formula is

y

=

a

×

e

bx

, so if we take the logarithms of both

sides we get In

y

= In

a

+

bx

. Next, if we say Y = In

y

, and A = In

a

, the formula corresponds

to linear regression formula Y = A +

bx

.

1(CALC)6(g)3(Exp)
6(DRAW)

The following is the exponential regression model formula.

y

=

a

e

bx

a .............

regression coefficient

b .............

regression constant term

r ..............

correlation coefficient

r

2

............ coefficient of determination

MSe

........ mean square error

6-3-8

Calculating and Graphing Paired-Variable Statistical Data