Casio fx-115WA - Quadratic Regression

앫21앫
• 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 + Bx +Cx
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 xi = 16 and ˆx
(estimated value of x) for yi = 20.
Te m perature
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