Casio FX300MS User Guide - Page 29

E-27

u

Logarithmic, Exponential, Power, and Inverse

Regression

•

Use the same key operations as linear regression to re-

call results for these types of regression.

• The following shows the regression formulas for each

type of regression.

u

Quadratic Regression

•

The regression formula for quadratic regression is:

y

= A + B

x

+ C

x

2

.

•

Example:

Perform quadratic regression to de-

termine the regression formula terms

for the data nearby. Next, use the

regression formula to estimate the

values for

n

(estimated value of

y

) for

x

i

= 16 and

m

(estimated value of

x

)

for

y

i

= 20.

In the REG Mode:

r

3

(Quad)

A

B

1

(Scl)

=

(Stat clear)

29

P

1.6

S

50

P

23.5

S

74

P

38.0

S

103

P

46.4

S

118

P

48.0

S

Regression Coefficient A =

–35.59856934

A

X

r

r

1

=

Regression Coefficient B =

1.495939413

A

X

r

r

2

=

Regression Coefficient C =

–

6.71629667

¹

10

–3

A

X

r

r

3

=

n

when

x

i

is 16 =

–13.38291067

16

A

X

r

r

r

3

=

m

1

when

y

i

is 20 =

47.14556728

20

A

X

r

r

r

1

=

m

2

when

y

i

is 20 =

175.5872105

20

A

X

r

r

r

2

=

Logarithmic Regression

y

²

A

³

B

±

In

x

Exponential Regression

y

²

A

±

e

B

·

x

(In

y

²

In A + B

x

)

Power Regression

y

²

A

±

x

B

(In

y

²

In A + BIn

x

)

Inverse Regression

y

²

A

³

B

±

1

/

x

x

i

y

i

29

1.6

50

23.5

74

38.0

103

46.4

118

48.0

Casio FX300MS User Guide - Page 29

Logarithmic, Exponential, Power, and Inverse, Regression, Quadratic Regression

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