HP 12C#ABA hp 12c_solutions handbook_English_E.pdf - Page 106

Power Curve Fit, Example, relationship between the time

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0.99 Correlation coefficient (between y and ln x). 1 0 1,066.15 Value of A. 4,069.93 Value of B. 8 9,529.34 Total units sold by end of eighth month. Power Curve Fit Another method of analysis is the power curve or geometric curve. The equation of the power curve is y = AxB, and the values for A and B are computed by calculations similar to linear regression. Some examples of power curves are shown below. The following keystrokes fit a power curve according to the equation ln y = ln A + B(ln x): 1. Press CLEAR . 2. Key in the first y-value and press . Key in the first x-value and press . Repeat this step for all data pairs. 3. Press and ln x). 4. Press 0 , to obtain the correlation coefficient (between ln y to obtain A in the above equation. 5. Press 1 0 to obtain B. 6. To make a y-estimate, key in the x-value and press . Example: If Galileo had wished to investigate quantitatively the relationship between the time (t) for a falling object to hit the ground and the height (h) it hasfallen, he might have released a rock from various 105

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105
Power Curve Fit
Another method of analysis is the power curve or geometric curve. The
equation of the power curve is
y
=
Ax
B
, and the values for
A
and
B
are
computed by calculations similar to linear regression. Some examples of
power curves are shown below.
The following keystrokes fit a power curve according to the equation ln
y
=
ln
A
+
B
(ln
x
):
1.
Press
CLEAR
2.
Key in the first
y
-value and press
. Key in the first
x
-value and
press
. Repeat this step for all data pairs.
3.
Press
, to obtain the correlation coefficient (between ln
y
and ln
x
).
4.
Press 0
to obtain A in the above equation.
5.
Press 1
0
to obtain B.
6.
To make a y-estimate, key in the x-value and press
.
Example:
If Galileo had wished to investigate quantitatively the
relationship between the time (
t
) for a falling object to hit the ground and
the height (
h
) it hasfallen, he might have released a rock from various
0.99
Correlation coefficient (between
y
and ln
x
).
1
0
1,066.15
Value of
A
.
4,069.93
Value of
B
.
8
9,529.34
Total units sold by end of eighth
month.