HP 10s Scientific Calculator - Manual (Page 28)

Ai?
Temperature
Atmospheric
Pressure
ЮЪ 1 0 0 3 h P a
1513 1 0 0 5 h P a
2013 1 0 1 0 h P a
2513 101 1 hPa
ЗОЮ 1 0 1 4 h P a
Linear Regression
The formula for linear regression is i/=A+Bx
Example: The relationship between atmospheric
pressure and air temperature is given in the
following table:
The following explains how to
calculate the coefficients of the
regression formula and how the
formula con then be used to
determine air temperature at a
particular pressure (lOOOhPa)
and the air pressure at a
particular temperature ( — 5 t : ) .
i n t h e p r o c e s s , w e a l s o
determine the coefficient of
d e t e r m i n a t i o n ( r ^ ) a n d t h e
sample covariance _ _
In regression (REG) mode: ( ^ x y ___ П ’ x • у ^
(mode 3 ) □□ (Lin)
[»
t
| ГП (Scl) В (Stat clear)
10 И 1 0 0 3 ®
Each time you press ® , the data you have just
entered is stored. The n = value shown on the screen
indicates the number of data pairs you have entered.
15 И 1 0 0 5 ®
2 0 И 1 0 1 0 ® 2 5 И 1 0 1 1 ®
З О И 1 0 1 4 ®
Regression coefficient A=997.4 gS] [jg ® ® Щ В
Regression coefficient B=0.56 gS] [ig ® ® Щ В
Regression coefficient
i^O.982607368 H H H H H H
The atmospheric pressure when the air temperature is — 5"C
=994.6 Ш И 5 И Н Н Н Н Н Н Н
The air temperature when atmospheric pressure is 1000 hPa
n-1
1 .
=4.642857143 1 0 0 0 1
Coefficient of determination
=0.965517241
Sample covariance=35
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