Casio FX300MS User Guide - Page 28

Example

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• Example: Atmospheric Pressure vs. Temperature Temperature 10°C 15°C 20°C 25°C 30°C Atmospheric Pressure 1003 hPa 1005 hPa 1010 hPa 1011 hPa 1014 hPa Perform linear regression to determine the regression formula terms and correlation coefficient for the data nearby. Next, use the regression formula to estimate atmospheric pressure at -5°C and temperature at 1000 hPa. Finally, calculate the coefficient of determination (r2) and sample covariance . In the REG Mode: 1(Lin) A B 1 (Scl) = (Stat clear) 10 P1003 S n= REG 1. Each time you press S to register your input, the number of data input up to that point is indicated on the display (n value). 15 P 1005 S 20 P1010 S 25 P 1011 S Regression Coefficient A = 997.4 30 P 1014 S A X r r 1 = Regression Coefficient B = 0.56 A X r r 2 = Correlation Coefficient r = 0.982607368 A X r r 3 = Atmospheric Pressure at ȕ5°C = 994.6 E D 5 F A X r r r 2 = Temperature at 1000 hPa = 4.642857143 1000 A X r r r 1 = Coefficient of Determination = 0.965517241 A X r r 3 K = Sample Covariance = 35 E A U r 3 , A U 3 - A X 1 - A X r 1 F \ E A U 3 , 1 F = E-26

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E-26
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 esti-
mate atmospheric pressure at
–5
°
C and temperature at 1000
hPa. Finally, calculate the coeffi-
cient of determination (
r
2
) and
sample covariance
.
In the REG Mode:
1
(Lin)
A
B
1
(Scl)
=
(Stat clear)
10
P
1003
S
Each time you press
S
to register your input,
the number of data input up to that point is
indicated on the display (
n
value).
15
P
1005
S
20
P
1010
S
25
P
1011
S
30
P
1014
S
Regression Coefficient A =
997.4
A
X
r
r
1
=
Regression Coefficient B =
0.56
A
X
r
r
2
=
Correlation Coefficient
r
=
0.982607368
A
X
r
r
3
=
Atmospheric Pressure at
¸
5
°
C =
994.6
E
D
5
F
A
X
r
r
r
2
=
Temperature at 1000 hPa =
4.642857143
1000
A
X
r
r
r
1
=
Coefficient of Determination =
0.965517241
A
X
r
r
3
K
=
Sample Covariance =
35
E
A
U
r
3
,
A
U
3
-
A
X
1
-
A
X
r
1
F
\
E
A
U
3
,
1
F
=
Temperature
Atmospheric
Pressure
10
°
C
1003 hPa
15
°
C
1005 hPa
20
°
C
1010 hPa
25
°
C
1011 hPa
30
°
C
1014 hPa
1.
n=
REG