HP 10s User Manual page 28

@ linear Regression
The formula for linear regression is y=A+Bx
Example: The relationship between atmospheric
pressure and air temperature is given in the
following table:
The following explains how to
Air__ Atmospheric calculate the coefficients of the
Temperature! Pressure | regression formula and how the
formula can then be used to
determine air temperature at a
particular pressure (1000hPa)
and the air pressure at a
particular temperature (—5).
In the process, we also
determine the coefficient of
determination (72) and the
sample covariance ——
In regression (REG) mode: fea ia Lae eB
(mode 3 ) (7) (Lin) mes
(sa) (Scl) ER (Stat clear)
10(2]1003T} n= *° 1.
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 {+} 1005 [b7)
20 (+ } 1010 (bt) 25(+] 1011 {oT
30 (2 ] 1014 [bT)
Regression coefficient A=997.4 (SHR (Sa) &) (&] (1)
Regression coefficient B=0.56 GH) (a) OO) (2)
Regression coefficient
r=0.982607368 sat) (sa) (>) >) (3) ES
The atmospheric pressure when the air temperature is —5°C
=994.6 LJ (©) 5 (1) GH) sa) )
uu
Q
The air temperature when atmospheric pressure is 1000 h
SHIFT) [S-VAR} | > | | 1
=4.642857143 1000 [sar] (a) >) >) OE
Coefficient of determination
=0.965517241 (sHiFT] (SvaR] [>] [PB] [3 [= |
[su i — |
(SHIFT) (S-S0M] [3] (EQ (Suir) (svar
&)
|= |
x
Sample covariance=35 LC) (suit) (sun) (>) (3 |
1
)
)
CC) (sui) (ss) (3) Ey 1
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