E-22
•
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