Power Curve Fit - HP 12c Solutions Handbook

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Power Curve Fit

Another method of analysis is the power curve or geometric curve. The
equation of the power curve is y = Ax
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
2. Key in the first y-value and press
press
3. Press
and ln x).
4. Press 0
5. Press 1
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
1,066.15
4,069.93
9,529.34
CLEAR
.
. Repeat this step for all data pairs.
, to obtain the correlation coefficient (between ln y
to obtain A in the above equation.
0
Correlation coefficient (between y
and ln x).
Value of A.
Value of B.
Total units sold by end of eighth
month.
B
, and the values for A and B are
. Key in the first x-value and
to obtain B.
105

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