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Casio FX-115WA User Manual

Page 23

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Example: Atmospheric Pressure vs. Temperature

Perform linear regression to de-
termine the regression formula
terms and correlation coefficient
for the data nearby. Next, use the
regression formula to estimate at-
mospheric pressure at 18°C and
temperature at 1000 hPa.

Enter REG Mode (Linear Regression)

q

q

2

1

A

m

=

(Memory Clear)

10

P

1003

S

15

P

1005

S

20

P

1010

S

25

P

1011

S

30

P

1014

S

(Regression Coefficient A)

A

q

=

(Regression Coefficient B)

A

w

=

(Correlation Coefficient

r

)

A

J

=

(Atmospheric Pressure at 18°C)

18

A

b

(Temperature at 1000 hPa)

1000

A

O

• Quadratic Regression

• The regression formula for quadratic regression is:

y

= A + B

x

+C

x

2

.

• Input data using the following key sequence.

<

x

-data>

P

<

y

-data>

S

• Example:

Perform quadratic regression to de-
termine the regression formula terms
and correlation coefficient for the data
nearby. Next, use the regression for-
mula to estimate the values for

ˆy

(es-

timated value of

y

) for

x

i

= 16 and

ˆx

(estimated value of

x

) for

y

i

= 20.

Temperature

Atmospheric

Pressure

10°C

1003 hPa

15°C

1005 hPa

20°C

1010 hPa

25°C

1011 hPa

30°C

1014 hPa

x

i

y

i

29

1.6

50

23.5

74

38.0

103

46.4

118

48.0

1007.48

00

4.642857143

00

30.

00

997.4

00

0.56

00

REG

0.982607368

00

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