HP 12C#ABA hp 12c_solutions handbook_English_E.pdf - Page 105

cumulative sales in units and, A manufacturer observes declining sales of a soon-to-be

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1. Press CLEAR . 2. Key in the first y-value and press . Key in the first x-value and press . Repeat this step for each data pair. 3. After all data pairs are input, press coefficient (between y and ln x). to obtain the correlation 4. Press 1 0 to obtain A in the equation above. 5. Press to obtain B. 6. To make a y-estimate, key in the x-value and press . Example 1: A manufacturer observes declining sales of a soon-to-be obsolete product, of which there were originally 10,000 units in inventory. The cumulative sales figures over a number of months, given below, may be fit by a logarithmic cure of the form y = A + B (ln x), where y represents cumulative sales in units and x the number of months since the beginning. How many units will be sold by the end of eighth months? Month Cumulative Sales (units) 1 2 3 4 5 6 1431 3506 5177 6658 7810 8592 Keystrokes Display CLEAR 1431 1.00 First pair data input. 1 3506 2 2.00 Second pair data input. 5177 3 3.00 Third pair data input. 6658 4 4.00 Forth pair data input. 7810 5 5.00 Fifth pair data input. 8592 6 6.00 Sixth pair data input. 104

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104
1.
Press
CLEAR
2.
Key in the first
y
-value and press
. Key in the first
x
-value and
press
. Repeat this step for each data pair.
3.
After all data pairs are input, press
to obtain the correlation
coefficient (between
y
and ln
x
).
4.
Press 1
0
to obtain
A
in the equation above.
5.
Press
to obtain
B
.
6.
To make a
y
-estimate, key in the
x
-value and press
Example 1:
A manufacturer observes declining sales of a soon-to-be
obsolete product, of which there were originally 10,000 units in inventory.
The cumulative sales figures over a number of months, given below, may
be fit by a logarithmic cure of the form
y
=
A
+
B
(ln
x
), where
y
represents
cumulative sales in units and
x
the number of months since the beginning.
How many units will be sold by the end of eighth months?
Month
1
2
3
4
5
6
Cumulative Sales (units)
1431
3506
5177
6658
7810
8592
Keystrokes
Display
CLEAR
1431
1
1.00
First pair data input.
3506
2
2.00
Second pair data input.
5177
3
3.00
Third pair data input.
6658
4
4.00
Forth pair data input.
7810
5
5.00
Fifth pair data input.
8592
6
6.00
Sixth pair data input.