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K logarithmic regression graph, K exponential regression graph – Casio FX-CG10 User Manual

Page 211

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6-18

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

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)

1( ae

bx

) or

2( ab

x

)

6(DRAW)

The following is the exponential regression model formula.

y

=

a

·

e

bx

a

.............. regression coefficient

b

.............. regression constant term

y

=

a

·

b

x

a

.............. regression constant term

b

.............. regression coefficient

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