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HP HP-11C

HP HP-11C
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162
Section
10:
Applications
Programs
Keystrokes
Display
7
4.00
9.2
5.00
12.1
6.00
15.6
7.00
20
8.00
16.68
Trapezoidal.
(D]
16.58
Simpson’s.
Curve
Fitting
Your
HP-11C
calculator
is
equipped
with
a
powerful
built-in
function,
linear
regression,
[L.R.],
which
quickly
and
conveniently
fits
data
to
a
straight
line.
(See
page
63.)
This
capability
is
used
here
in
a
program
to
fit
data
to
other
types
of
curves:
1.
Exponential
curves;
y
=
ae®*
(a
>0)
2.
Logarithmic
curves;y
=a
+
b
Inx
3.
Power
curves;
y
=
ax?
(a
>0)
which
may
be
transformed
to
the
general
linear
form
Y
=A
+
bX.
The
regression
coefficients
A
and
b
are
found
by
solving
the
following
system
of
linear
equations
n
ZXI
A
3
Yi
X,
X2
b
||
xvix)
where
n
is
the
number
of
data
pairs.
The
relations
of
the
variables
are
defined
as
the
following:
Regression
A
X;
Y;
Code
Exponential
Ina
X;
Iny;
1
Logarithmic
a
Inx;
Yi
2
Power
Ina
Inx;
Iny;
3

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