Casio fx 991MS User Guide - Page 32

Linear Regression

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• The values in the above tables can be used inside of expressions the same way you use variables. u Linear Regression • The regression formula for linear regression is: y = A + Bx. • 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 18°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) REG 10 P1003 S n= 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 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 18°C = 1007.48 18 A X r r r 2 = 30

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30
• The values in the above tables can be used inside of
expressions the same way you use variables.
u
Linear Regression
The regression formula for linear regression is:
y
= A + B
x
.
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
atmospheric pressure at 18
°
C
and temperature at 1000 hPa. Fi-
nally, calculate the coefficient of
determination (
r
2
) and sample
covariance
.
Temperature
Atmospheric
Pressure
10
°
C
1003 hPa
15
°
C
1005 hPa
20
°
C
1010 hPa
25
°
C
1011 hPa
30
°
C
1014 hPa
In the REG Mode:
1
(Lin)
A
B
1
(Scl)
=
(Stat clear)
10
P
1003
S
1.
n=
REG
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 18
°
C =
1007.48
18
A
X
r
r
r
2
=