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HP 10s Scientific Calculator User Manual

Page 28

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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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27

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