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U quadratic regression – Casio fx-83MS User Manual

Page 29

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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

i10

–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

҃ A ѿ B ؒ In x

Exponential Regression y

҃ A ؒ

e

B

·

x

(In y

҃ In A + Bx)

Power Regression

y

҃ A ؒ

x

B

(In y

҃ In A + BIn x)

Inverse Regression

y

҃ A ѿ B ؒ

1

/

x

x

i

y

i

29

1.6

50

23.5

74

38.0

103

46.4

118

48.0

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