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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
P1003 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 P1010 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 ȕ5°C =
994.6
E D 5 F A X r r r 2 =
Te mperature 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