Sharp EL733A EL-733A Operation Manual - Page 80

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So to fit a set of (x,y) data pairs to the curve y = abx, you simply enter your pairs as usual except, after you enter y, press the [2nd9 (- 1 keys. Also, whenever you calculate Li , , or El , press the 12nd9 E) keys (because el"k') = y). Example: Fit the following data to a curve described by the equation y = abx. Determine the values for "r," "a," and "b," and calculate the predicted y values at x = 9.2 and x = -2.6. 0.5 8.0 1.6 13.2 3.6 52.9 7.9 1008.0 8.7 2201.0 Solution: To enter the data, use the following keystrokes: (Mode: STAT) [2ndF) ET) .5 Kr,y)) 8 12nd9 In [DATA 1.6 If-T.413.2 tend F) In [DATA' 3.6 ((TA 52.9 Ficin In IDATAI 7.9 8.7 (x,y 1 008 2'201 pI2nadFnf In (DATA) DATA) Once the five data points are entered, you can calculate the desired regression values using the keystrokes below: 2ndF 2ndF E) 2nd E) (2nd F) EI I2rd9 IT) Result: 0.998657732 Result: 4.868338038 Result: 1.988330772 159 The correlation coefficient is 0.998... indicating that this curve is an excellent model for this data. Also from the above results, the equation for the curve is: y = 4.87 (1.99x) To calculate the predicted values for y at x = 9.2 and a = -2.6, press: 9.2 2nd P2r 1 2.6 +/- kniFj El 2nd e= Result: 2'713.164694 Result: 0.815286551 159

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So
to
fi
t
a
set
of
(x,y)
data
pairs
to
the
curve
y
=
ab
x
,
you
simply
enter
your
pairs
as
usual
except,
after
you
enter
y,
press
the
[2nd9
(
-
1
keys.
Also,
whenever
you
calculate
Li
,
,
or
El
,
press
the
12nd9
E)
keys
(because
el"
k'
)
=
y).
Example:
Fit
the
following
data
to
a
curve
described
by
the
equation
y
=
abx.
Determine
the
values
for
"r,"
"a,"
and
"b,"
and
calculate
the
predicted
y
values
at
x
=
9.2
and
x
=
—2.6.
0.5
8.0
1.6
13.2
3.6
52.9
7.9
1008.0
8.7
2201.0
Solution:
To
enter
the
data,
use
the
following
keystrokes:
(Mode:
STAT)
[2ndF)
ET)
.5
Kr,y))
8
12nd9
In
1.6
If
-T.413.2
tend
F)
In
[DATA'
3.6
((TA
52.9
Ficin
In
7.9
1
008
I2ndFf
8.7
(x,y
2'201
pan
In
[DATA
IDATAI
(DATA)
DATA)
Once
the
fi
ve
data
points
are
entered,
you
can
calculate
the
desired
regression
values
using
the
keystrokes
below:
2ndF
2ndF
E)
2nd
E)
(2nd
F)
EI
I2rd9
IT)
159
Result:
0.998657732
Result:
4.868338038
Result:
1.988330772
The
correlation
coefficient
is
0.998...
indicating
that
this
curve
is
an
excellent
model
for
this
data.
Also
from
the
above
results, the
equation
for
the
curve
is:
y
=
4.87
(1.99x)
To
calculate
the
predicted
values
for
y
at
x
=
9.2
and
a
=
—2.6,
press:
9.2
2nd
2r
P1
Result:
2'713.164694
2.6
+/-
kniFj
El
2nd
e=
Result:
0.815286551
159