SCIENTIFIC CALCULATOR

LCD-8510S

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USER'S GUIDE
Olympia Business Systems Vertriebs GmbH
Zum Kraftwerk 1
45527 Hattingen
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Safety Information . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4
Intended use . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4
Batteries . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4
Disposal instructions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4
Precautionary Measures When Using the Calculator . . 5
Two-line Display . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6
Before Starting to Calculate..... . . . . . . . . . . . . . . . . . . 6
Operating modes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6
Input capacity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
Correcting input . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
Replay function . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7
Error location . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
Multiple statements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8
Exponential display formats . . . . . . . . . . . . . . . . . . . . . . . . . . 8
Decimal point and separator symbols . . . . . . . . . . . . . . . . . . . 9
Initialising the calculator . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
Basic Calculations . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
Arithmetic calculations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
Fraction calculations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
Converting decimal values to fractions . . . . . . . . . . . . . . . . . . 10
Converting fractions to decimal values . . . . . . . . . . . . . . . . . . 10
Converting mixed fractions to improper fractions . . . . . . . . . . . 10
Percentage Calculation . . . . . . . . . . . . . . . . . . . . . . . . 11
Degrees, Minutes, Seconds Calculations . . . . . . . . . . . 12
FIX, SCI, RND . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12
Memory Calculations . . . . . . . . . . . . . . . . . . . . . . . . . . 13
Answer memory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
Consecutive calculations . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14
Independent memory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14
Variables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14
Calculations Using Scientific Functions . . . . . . . . . . . 15
Trigonometric/Inverse trigonometric functions . . . . . . . . . . . . . 15
Hyperbolic/Inverse hyperbolic functions . . . . . . . . . . . . . . . . . . 16
Common and natural logarithms / antilogarithms . . . . . . . . . . . 16
Square roots, cube roots, roots, squares, cubes, reciprocals, factorials,
random numbers,  and permutations/combinations . . . . . . . . 17
Angle unit conversion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18
Coordinate conversion (Pol (x, y), Rec (r, )) . . . . . . . . . . . . . . 18
Calculations with engineering notation . . . . . . . . . . . . . . . . . . 19
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Statistical Calculations . . . . . . . . . . . . . . . . . . . . . . . . 19
Standard Deviation (SD mode) . . . . . . . . . . . . . . . . . . . . . . . . 19
Precautionary measures when entering data . . . . . . . . . . . . . . 20
Regression calculation (REG mode) . . . . . . . . . . . . . . . . . . . . 21
Linear regression . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23
Logarithmic, exponential, power and inverse regression . . . . . . 24
Quadratic regression . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25
Precautionary measures when entering data . . . . . . . . . . . . . . 25
Technical Information . . . . . . . . . . . . . . . . . . . . . . . . . 26
Error messages . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26
Order of priority of operations . . . . . . . . . . . . . . . . . . . . . . . . . 27
Stacks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28
Input ranges . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29
Replacing the battery . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31
Auto power off . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31
Cleaning and care . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31
Guarantee . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32

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Safety Information
It is essential to read the following safety information before starting to use
the calculator. Keep this guide close to hand for reference later.
Intended use
This calculator serves exclusively for completing arithmetical processes
indoors. Any other use is considered unintended use.
Batteries
D After having removed the batteries from the calculator, keep them in
a safe place so that they cannot get into the hands of small children
who could accidentally swallow them.
D If a battery is swallowed by accident, seek medical attention
immediately.
D Never charge, dismantle or short circuit the batteries. Do not expose
the batteries to direct heat and never dispose of them in a fire.
D If the batteries are used incorrectly, the battery acid could escape
causing damage to objects nearby and creating a risk of fire or
personal injury.
D Always ensure that the positive (+) and negative (-) ends face the
right direction when the batteries are inserted in the calculator.
D Remove the batteries if the calculator will not be used for longer
periods.
D Only use batteries specified in this guide for this calculator.
D Use batteries must not be disposed of in domestic waste! Please
dispose of them at collection points provided or a special refuse
depot.
Disposal instructions
In order to dispose of your device, take it to a collection
point provided by your local public waste authorities (e.g.
recycling centre). According to laws on the disposal of
electronic and electrical devices, owners are obliged to
dispose of old electronic and electrical devices in a separate
waste container. The adjacent symbol indicates that the
device must not be disposed of in normal domestic waste!
When you dispose of the device, remove the batteries
beforehand and dispose of them separately.
Risks to health and the environment from batteries!
Never open, damage or swallow batteries or allow them to
pollute the environment. They may contain toxic, ecologically
hazardous heavy metals. You are legally obliged to dispose of
batteries at the point­of­sale or in the appropriate containers
provided by your local public waste authorities. Take particular
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care when removing batteries which have already begun to
leak from the device. Attention: Risk of caustic burns!
Disposal is free of charge. The symbols indicate that the
batteries must not be disposed of in normal domestic waste
and that they must be brought to collection points provided by
local public waste authorities.
Packaging materials must be disposed of according to local
regulations.
Precautionary Measures When Using the Calculator
D It is essential to press the key before using the calculator for the
first time.
D Change the batteries at least once every three years even if the
calculator is working properly. An empty battery could leak and cause
malfunctions or damage to the calculator. Never leave an empty
battery in the calculator.
D The battery supplied with the unit could discharge a little during
transport and storage. Therefore, this battery should be replaced
after a shorter period than that stipulated for normal battery service
life.
D Low battery voltage could cause the memory content to be corrupted
or lost. Therefore, always make written copies of important data.
D Avoid exposing the calculator to extreme temperatures during
operation and storage. Low temperatures could cause the display to
light up very slowly, complete failure of the display or a shortening of
the battery service life. Do not place the calculator in direct sunlight,
near a window, near a heater or another location subject to very high
temperatures. Heat can cause the calculator housing to discolour or
warp and cause damage to the internal circuitry.
D Protect the calculator from splashing water, excessive humidity and
dust. Doing so could cause damage to the internal circuitry.
D Never let the calculator fall and avoid any sudden impacts.
D Do not bend the calculator.
D Do not dismantle the calculator.
D Never press the keys on the calculator with a ballpoint pen or another
pointed object.

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Two-line Display
The two-line display enables the simultaneous display of calculation
equation and result.
D The top line displays the calculation equation.
D The bottom line displays the result.
A separator appears after each third digit when the integer part of the
mantissa is more than three digits.

Before Starting to Calculate.....

Operating modes
Before starting to enter a calculation, you must activate the correct mode
as indicated in the following table.
Calculation mode: Keys to be pressed: Mode identification
Basic arithmetic COMP
computation
Standard deviation SD

Regression REG

D Press the key more than once to display additional setup

screens. The setup screens are described in the sections of this
guide in which they can actually be used in order to change the
calculator settings
D Throughout this guide, the mode necessary to complete specific
calculations appears in the title of each section.
Example: Statistical Calculations: SD; REG
Note!
In order to reset the calculation mode and settings to their default
state, as listed below, press the following keys
(Mode) .
Calculation mode: COMP
Angle unit: Deg
Exponential display format: Norm 1
Fraction display format: a b/c
Decimal point character: Point
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D The mode indicator appears in the top section of the display.
D It is essential to check the current calculation mode (SD, REG,
COMP) and angle unit setting (Deg, Rad, Gra) before beginning a
calculation.
Input capacity
D The memory area for entering calculations can record 79 steps. One
step is recorded each time a digit key is pressed or an arithmetic
operation key ( , , , ) is pressed. Pressing the or
key does not count as a step, so that entering e.g. is
only counted as one step.
D You can enter up to 79 steps in a single calculation. When you have
entered the 73rd step of a calculation, the cursor switches from “_” to
“J”to indicate that the memory capacity will soon be exhausted. If
you need to enter more than 79 steps, divide the calculation up into
two or more parts.
D After pressing the key, the last result appears which can then be
used in subsequent calculations. For further information on using the
key, refer to Section “Answer Memory”.
Correcting input
D Use the and keys to move the cursor to the required
position.
D Press the key to delete the character at the current cursor
position.
D Press the following keys to activate the insert cursor .
Entries made are then inserted at that position when the insert cursor
is in the display.
D Press the keys or the key to switch back from the insert
cursor to the standard cursor.
Replay function
D Each time a calculation is completed, the replay function stores the
calculation equation and its result in the replay memory. Press the
key to display the equation and result of the last calculation
completed. Press the key again in order to scroll step-by-step
back (from new to old) through the calculation completed.
D Pressing the or key when a replay memory calculation is in
the display opens the editing screen.
D Press the or key immediately after concluding a calculation
to retain the editing screen for the calculation.
D Pressing the key does not delete the replay memory so that the
last calculation can be called in again even after pressing the
key.
D The replay memory has a capacity of 128 bytes for storing both
calculation steps and results.
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D The replay memory can be deleted by one of the following
procedures.
D By pressing the key.
D By initialising modes and settings by pressing the
(or ) key.
D By switching from one calculation mode to another.
D By switching the calculator off.

Error location
D Pressing the or key after an error has occurred causes the
calculation to be displayed and the cursor is positioned at the location
of the error.
Multiple statements
A multiple statement is an expression which is comprised of two or more
smaller expressions linked by a colon (:).
Example: Add 2 + 3 and the result multiplied by 4.
2+3
2 3 : 4
5. DISP

Ans x 4

20.
Exponential display formats
The calculator can display up to 10 digits. Larger values are automatically
displayed using exponential notation. In the case of decimal values, it is
possible to select between two formats which define at which point the
exponential notation is used.
D In order to change the exponential display format, press the key
repeatedly until the exponential display format setup screen
illustrated below appears.
Fix Sci Norm
1 2 3
D Press the key. Press on the format selection screen
displayed or to select Norm 1 or Norm 2.
D Norm 1
On selecting Norm 1, exponential notation is automatically used for
integer values exceeding 10 digits and for decimal values with more
than two decimal places.
D Norm 2
On selecting Norm 2, exponential notation is automatically used for
integer values exceeding 10 digits and for decimal values with more
than nine decimal places.
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D All the calculation examples in this guide use the Norm 1 format.
Decimal point and separator symbols
You can use the display setup screen (Disp) to define the symbols to be
used for the decimal point and the separator inserted every third digit.
D To change the decimal point and separator symbols, press the
key repeatedly until the setup screen illustrated below appears.
Disp
1
D Display the setup screen.

D Press the digit key ( or ) corresponding to the required

setting.
(point): Decimal point; comma as separator
(comma): Decimal comma instead of point; point as separator
Initialising the calculator
Press the following sequence of keys to initialise calculation mode and the
setup, and to clear the replay memory and variables.
(All)

Basic Calculations
Note!
Use the key to activate COMP mode in order to carry out basic
calculations.
COMP:

Arithmetic calculations
D Negative values in calculations must be enclosed in parentheses. For
details, refer to “Sequence of operations”.
D Negative exponents need not be enclosed in parentheses.

sin 2.34 x 10-5 ³ 2.34 5

Example 1: 3x(5x10-9)
3 5 9 1.5-08
Example 2: 5x(9+7)
5 9 7 80.
D You can leave out all operations prior to the key.
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Fraction calculations
D The values are automatically displayed in decimal format when the
total number of digits for the fraction value (integer + numerator +
denominator + separator) exceeds 10.
Example 1: 2 + 1
3 5
2 3 1 5 13z15.
Example 2: 1 + 1.6
2
1 2 1.6 2.1
D The results of calculations mixing fractions and decimal values are
always displayed in decimal format.

Converting decimal values to fractions

D Use the following operation to convert calculation results from
decimal values to fraction value.
D Please note that the conversion can take up to 2 seconds.

Example 1: 2.75 ³ 2 3
4
2.75 2.75
2z3z4.
11z4.
Converting fractions to decimal values
Example 1: 1 ´ 0.5 (fraction ´ decimal)
2
1 2 1z2.
0.5
1z2.
Converting mixed fractions to improper fractions
Example 1: 1 2 ´ 5
3 3
1 2 3 1z2z3.
5z3.
1z2z3.
D You can use the display setup screen (Disp) to define the display
format when the result of a fraction calculation is greater than
one (1).
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D In order to change the fraction display format, press the key
repeatedly until the setup screen illustrated below appears.
Disp
1
D Display the setup screen.

D Press the digit key ( or ) corresponding to the required

setting.
(ab/c): mixed fraction
(d/c): improper fraction
Note!
An error occurs if you attempt to enter a mixed fraction when the
(d/c) display format is selected.
Percentage Calculation
Note!
Use the key to activate COMP mode in order to carry out
calculation of percentages.
COMP:
Example 1: Calculate 12% of 1500
1500 12 180.
Example 2: What percentage is 660 of 880?
660 880 75.
Example 3: Add 15% to 2500
2500 15 2875.
Example 4: Reduce 3500 by 25%
3500 25 2625.
Example 5: A discount of 20% from the sum of 168, 98 and 734 must
be calculated.
168 98 734 800.
* 20
* As shown here, you must assign the value in the Answer Memory to a
variable and then use the variable in the mark up / discount calculation in
order to use the current answer memory value in a mark up / discount
calculation. This is because the calculation completed on pressing the
key stores the result in the Answer Memory before the key is pressed.
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Example 6: If 300 grams are added to a test sample originally
weighing 500 grams, what is the percentage increase?
300 500 160.
Example 7: What is the percentage increase when a temperature rises
from 40 °C to 46 °C? What is the percentage increase in
the case of 48 °C?
46 40 15.
8 20.
Degrees, Minutes, Seconds Calculations
D You can complete sexagesimal calculations using degrees (hours),
minutes and seconds and convert between sexagesimal and decimal
values.
Example 1: Convert the decimal value 2.258 to a sexagesimal value
and back to a decimal value.
2.258 2.258
2°15°31.2
2.258
Example 2: To perform the following calculation:
12°34'56“ x 3.45
12 34 56 3.45 0.
43°24°31.2

FIX, SCI, RND

To change the setup for the current number of decimal places, the number
of significant digits or the exponential display format, press the key
repeatedly until the setup screen illustrated below appears.
Fix Sci Norm
1 2 3
D Press the digit key ( , or ) which corresponds to the setup
option to be changed.
(Fix): Number of decimal places
(Sci): Number of significant digits
(Norm): Exponential display format
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Example 1: 200  7 x 14
200 7 14 400.
(Defines three decimal places.)
(Fix) 400.000
Fix
(Calculation continues with 12 places)
200 7 28.571
14 400.000
Complete the same calculation with the defined
number of decimal places
200 7 28.571
(Internal rounding)
28.571
14 399.994
D Press (Norm) to delete the FIX entry.

Example 2: 13, to display results with two significant digits (SCI2).

(SCI) 3.3-01
SCl
1 3
D Press (Norm) to delete the SCI entry.
Memory Calculations
Note!
Use the key to activate COMP mode to complete calculations
using the memory.
COMP:
Answer memory
D By pressing the key after entering a value or expression, the
result calculated is automatically stored in the answer memory so
that its content is updated.
D In addition to using the key, the content of the answer memory is
also updated by pressing , , or followed
by a letter (A to F or M, X or Y).
D You can call in the content of the answer memory by pressing the
key.
D The answer memory can store up to 12 digits for the mantissa and
two digits for the exponent.
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D The answer memory content is not updated when one of the
procedures initiated by the above key operations results in an error.

Consecutive calculations
D You can use the calculation result currently in the display (and the
result stored in the answer memory) as the first value for the next
calculation. Pay attention, however, that pressing an operation key
while a result is being displayed causes the value displayed to
change to “Ans” to indicate that the current value displayed is that
stored in the answer memory.
D The result of a calculation can also be used with a following type A

function (x2, x3, x-1, x!, DRG") and with +, -, 5, xǠ, x, , 1

and 2.

Independent memory
D The values can be entered directly in the memory or added to and
subtracted from the memory. The independent memory is particularly
suited to calculating cumulative totals.
D The independent memory uses the same memory area as variable
M.
D To delete the independent memory (M), press the
keys.
Example 1:
23+9=32
53−6=47
−)45x2=90
(Total) −11
23 9 32.
53 6 47.
45 2 90.
-11.

Variables
D There are 9 variables available (A to F, M, X and Y) which can be
used to save data, constants, results and other values.
D Proceed as follows to delete data assigned to a specific variable:
. This operation deletes the data assigned to variable A.
D Press the following sequence of keys to delete the values assigned
to all the variable.
(McL) .
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Example 1:
193.2:23=8.4
193.2:28=6.9
193.2 23 8.4
28 6.9

Calculations Using Scientific Functions

Note!
Use the key to activate COMP mode in order to carry out
scientific function calculations. COMP:
D Certain types of calculation may require a longer time to complete.
D Wait until the result appears in the display before starting the next
calculation.
D 3.14159265359

Trigonometric/Inverse trigonometric functions

D In order to change the default angle unit (degrees, radians, grads),
press the key repeatedly until the angle unit setup screen
illustrated below appears.
Deg Rad Gra
1 2 3
D Press the digit key ( , or ) which corresponds to the angle
unit to be changed.
( 90° = radians = 100 grads )
2
Example 1: sin 63°52'41”
(Deg) 0.897859012
63 52 41
Example 2: cos ( rad )
3

(Rad) 0.5
3

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Example 3: 2
cos-1 = rad
2 4

(Rad) 0.785398163
2 2
0.25
Example 4: tan-1 0.741
(Deg) 36.53844577
0.741

Hyperbolic/Inverse hyperbolic functions

Example 1: sinh 3.6
3.6 18.28545536
Example 2: sinh-1 30
30 4.094622224
Common and natural logarithms / antilogarithms
Example 1: log 1.23
1.23 0.089905111
Example 2: ln 90(=loge 90)
90 4.49980967
Example 3: e10
10 22026.46579
Example 4: 101.5
1.5 31.6227766
Example 5: 2-3
2 3 0.125
Example 6: (-2)4
2 4 16.
D Negative values in calculations must be enclosed in parentheses.
For details, refer to “Sequence of operations”.

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Square roots, cube roots, roots, squares, cubes, reciprocals,
factorials, random numbers,  and permutations/combinations
Example 1: 2 + 3 x 5
2 3 5 5.287196909
3 3
Example 2: 5 + -27

5 27 -1.290024053
1
Example 3: 7
123 ( = 123 ) 7

7 123 1.988647795
Example 4: 123 + 302
123 30 1023.
Example 5: 123
12 1728.
1
Example 6: 1 - 1
3 4
3 4 12.
Example 7: 8!
8 40320.
Example 8: Generate a random number between
0.000 and 0.999. (Results are always different).
0.664
Example 9: 3
3
9.424777961
Example 10: Determine how many different four-digit numbers can be
generated with digits 1 to 7. The digits may not appear
more than once in the four-digit number (1234 is permitted
but 1123 is not).
7 4 840.

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Example 11: Determine how many different four-member groups can be
organised from a group of 10 individuals.
10 4 210.
Angle unit conversion
D Press to call in the following menu:

D Pressing , or causes the value displayed to be

converted to the corresponding angle unit.
Example 1: Convert 4.25 radians to degrees.
(Deg) 4.25r
4.25 (R) 243.5070629

Coordinate conversion (Pol (x, y), Rec (r, ))

D The results of the calculation are automatically assigned to variables
E and F.
Example 1: Convert polar coordinates (r=2, =60°) to rectangular
coordinates (x, y) (Deg).

x 2 60 1.
y
1.732050808
D Pressing key sequence or displays the value for x
or y respectively.
Example 2: Convert rectangular coordinates (1, Ǡ3) to polar
coordinates (r,  ) (RAD mode).
r 1 3 2.

 1.047197551
D Pressing key sequence or displays the value r or 
respectively.

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Calculations with engineering notation
Example 1: Convert 56088 meters to kilometers.
56088 56.08803
Example 2: Convert 0.08125 gram to milligrams.
0.08125 81.25-03
Statistical Calculations
Note!
Use the key to activate SD mode to complete statistical
calculations using standard deviation.
SD:

Standard Deviation (SD mode)

D When SD mode and Reg mode are activated, the key operates
as the key.
D Always begin entering data by pressing the key sequence
(Scl) to clear the statistical memory.
D Enter data using the following key sequence. <x-data> .
D The data entered is used to calculate the values for i, a, b, s,
n, n-1 which can then be called in by pressing the following keys.
Recall the value: Execute this key operation:
b
a
i
s
n
o

Example 1: Calculate o, n, s, i, a, b for the following data:

55, 54, 51, 55, 53, 53, 54, 52
The following key combination is available in SD mode:
(Scl) (Stat clear)
n=SD
55
1.

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Note!
Each time you press the key to register the data entered, the
number of data entries made up to that time appears in the display
(n-value)
54 51 55 52.
53 54 52 SD.........

(Random sample standard deviation n-1 )

1.407885953
(Population standard deviation n)
1.316956719
(Arithmetic mean s)
53.375
(No. of entries i)
8.
(Sum of values a)
427.
(Sum of the squares of the values b)
22805.
Precautionary measures when entering data
D Pressing enters the same data twice.
D It is also possible to enter the same data several times using the
keys. E.g. to enter data value 110 ten times, press the keys
sequence 110 10 .
D You can enter the above key operations in any sequence, i.e. not
necessarily in the order described.
D When entering data and after completing data input, you can press
the and keys to scroll through the data entered. If you have
entered the same data several times using the keys to
specify the data frequency (number of data items) as described
above, scrolling through the data produces separate displays for the
data items and the data frequency (Freq).
D You can edit the data displayed, if necessary. Enter the new value
and press the key to replace the old value with the new one. This
means that you must press the key first to exit from the data
display before completing another operation (calculation, call in the
statistical calculation results, etc.).
D If you press the key instead of the key after having changed
a value in the display, the newly entered value is registered as a new
data item, whereby the old value remains unchanged.
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D You can use the and keys to select a data value and delete
it by pressing the key. After deleting a data value, all the
following values move one place up.
D The data values you register are normally stored in the calculator
memory. If no more memory space is available in which to store
more data, the “Data Full” message appears and no further data can
be entered. If this occurs, press the key and the following screen
appears.
Edit Off Esc
1 2

Press the key to cancel data entry without registering the value
currently being entered. Press the key if you want to register the
value currently being entered without it being stored in the memory.
However, if you do this, you will be unable to display or edit the data
you have entered.
D To delete the data value just entered, press the key.
D After you have entered statistical data in SD mode or REG mode,
you will be unable to display or edit the individual data items after
carrying out one of the following operations.
D Switching to another mode.
D Changing the regression type (Lin, Log, Exp, Pwr, Inv, Quad).

Regression calculation (REG mode)

Note!
Use the key to activate REG mode to complete statistical
calculations with regressions. REG:
D When SD mode and REG mode are activated, the key operates
as the key.
D After activating REG mode, screens as illustrated below appear.

Lin Log Exp PWR Inv Quad

1 2 3 1 2 3

D Press the digit key ( , or ) which corresponds to the

regression type used.
(Lin): Linear regression
(Log): Logarithmic regression
(Exp): Exponential regression
(Pwr): Power regression
(Inv): Inverse regression
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(Quad): Quadratic regression
D Always begin entering data by pressing the key sequence
(Scl) to clear the statistical memory.
D Enter data using the following key sequence. <x-data> <y-data>
.
D The values produced from a regression calculation depend on the
values entered, and results can be called in using the key operations
indicated in the table below.
Recall the value: Execute this key operation:
b
a
i

h
g
f
s
j

u
l
m
Regression coefficient A

Regression coefficient B

other than quadratic regressions

Correlation coefficient r

p
t

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D The table below indicates the key operations to be used to call in the
results in the case of quadratic regression.

Recall the value: Execute this key operation:

c
e
d
Regression coefficient C

q
r
t

D The values in the table above can be used inside expressions in the
same way as variables.
Linear regression
The regression equation for linear regression is: y = A+Bx.
Example 1: Atmospheric pressure vs. temperature
Execute linear regression in order to determine the terms and
Temperature Atmospheric
pressure correlation coefficient of the regression equation for the
10°C 1003 hPa adjacent data. Then use the regression equation to estimate
15°C 1005 hPa the atmospheric pressure at –5°C and the temperature at 1000
20°C 1010 hPa hPa. Finally, calculate the coefficient of determination (r2) and
25°C 1011 hPa sample covariance.
30°C 1014 hPa

In REG mode: (Lin)

(SCI) (Stat clear) REG
10 1003
n=
1.
Note!
Each time you press the key to register the data entered, the
number of data entries made up to that time appears in the display
(n-value).

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15 1005
20 1010
25 1011
30 1014
(Regression coefficient A)
997.4
(Regression coefficient B)
0.56
(Correlation coefficient r)
0.982607368
(Atmospheric pressure at -5°C)
5 994,6
(Temperature at 1000 hPa)
1000 4.642857143
(Coefficient of determination)
0.965517241
(Sample covariance)

35

Logarithmic, exponential, power and inverse regression

D Use the same key operations as for linear regression in order to call
in the results for these regression types.
D The regression equations for each regression type are listed below.

Logarithmic regression y = A + B * ln x
Exponential regression y = A * eBx (ln y = ln A + Bx)
Power regression y = A * xB (ln y = ln A + B*lnx)
Inverse regression y = A + B * 1/x

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Quadratic regression
D The regression equation for quadratic regression is:
y = A+Bx+Cx 2
Example 1:
xi yi Execute quadratic regression in order to determine
29 1.6 the terms of the regression equation for the adjacent
50 23.5 data. Then use the regression equation to estimate
74 38.0 the values of t (estimated value of y) for xi = 16 and
103 46.4 p (estimated value of x) for yi = 20.
118 48.0

In REG mode:
(Quad)
(Scl) (Stat clear)
29 1.6 50 23.5
74 38.0 103 46.4
118 48.0
(Regression coefficient A) -35.59856934
(Regression coefficient B) 1.495939414
(Regression coefficient C) -6.71629667-03
( when xi = 16) 16 -13.38291067
( 1 when yi = 20) 20 47.14556728
( 2 when yi = 20) 20 175.5872105

Precautionary measures when entering data

D Pressing enters the same data twice.
D The same data value can be entered repeatedly by using the key
sequence . In order, for example, to enter data values “20
and 30” five times, use the key sequence 20 30 5 .
D You can enter the above results in any sequence, i.e. not necessarily
in the order described.
D The precautionary measures applicable for editing for standard
deviation also apply for regression calculations.
D Do not use variables A to F, X or Y for saving data when you are
performing statistical calculations. These variables are used as
temporary memory areas for statistical calculations so that data
assigned to these variables can be replaced by other data during
statistical calculations.
D By activating REG mode and selecting a regression type (Lin, Log,
Exp, Pwr, Inv, Quad), the variables A to F, X and Y are cleared.
These variables are also cleared when you switch from one
regression type to another when REG is active.
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Technical Information
In case of a problem......
If the calculator results are not those expected or an error occurs, carry out
the following steps.
1 Press the keys (Mode) to initialise all modes and
settings.
2 Check the equation you are using is correct.
3 Activate the correct mode and enter the calculation again.
If the above steps do not solve the problem, press the key. The
calculator then completes a self-test and deletes all the data in the memory
if an abnormal condition is detected. Always make written copies of
important data.
Error messages
The calculator is locked against use when an error message is in the
display. Press the key to clear the error or press the or key to
display the calculation and correct the problem. Refer to “Error Locator” for
details.
Math ERROR
Cause
D The calculation result lies outside the permissible calculation range.
D An attempt was made to complete a calculation function using a
value which is outside the permissible input range.
D An attempt is made to complete an illogical operation (division by
zero, etc.).
Action
D Check the input values and ensure that they are within the
permissible range. Pay particular attention to values in the memory
areas used.
Stack ERROR
Cause
D The capacity of the numeric stack or command stack has been
exceeded.
Action
D Simplify the calculation. The numeric stack has 10 levels and the
command stack has 24 levels.
D Divide the calculation into two or three parts.
Syntax ERROR
Cause
D An attempt was made to perform an impermissible mathematic
operation.
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Action
D Press the or key to display the location of the error and then
complete the corrective measures necessary.
Arg ERROR
Cause
D Incorrect use of an arguments.
Action
D Press the or key to display the location of the error and then
complete the corrective measures necessary.

Order of priority of operations

The calculation operations are completed according to the following order
of priority.
1 Coordinate conversion: Pol (x, y), Rec (r, )
2 Type A functions:
In the case of these functions, the value is entered first and then the
function key is pressed.
x3, x2, x-1, x!,9
p, q, r, t
Conversion of the angle unit (DRG")
3 Powers and roots: 5, xǠ
4 0
5 Abbreviated multiplication format in front of , e (basis for natural
logarithms), memory name or variable name: 2, 3e, 5A, A etc.
6 Type B functions:
In the case of these functions, the function key is pressed first, then
the value is entered.
Ǡ, 3Ǡ, log, ln, O, P, sin, cos, tan, sin-1, cos-1, tan-1, sinh, cosh,
tanh, sinh-1, cosh-1, tanh-1 , (-)
7 Abbreviated multiplication format in front of type B functions: 2Ǡ3,
Alog2 etc.
8 Permutation and combination: nPr, nCr
9 x, 
10 +, −
Operations which have the same priority are completed from right to left.
OInǠ120 ³ eX{In(Ǡ120)}.
Other operations are completed from left to right.
Operations set in parentheses are performed first.
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If a calculation contains an argument which is a negative number, the
negative number must be enclosed in parentheses. The negative sign ()
is treated as a type B function so that special care must be taken when the
calculation contains a type A function with high priority or power or root
operations.
Example: (2)4 = 16, 24 = 16
Stacks
This calculator uses memory areas (called “stacks“) in order to temporarily
store values (numeric stacks) and commands (command stacks) according
to their order of priority during calculation. The numeric stack has 10 levels
and the command stack has 24 levels. A stack error (stack ERROR) occurs
if you attempt to perform a calculation which is so complicated that the
capacity of one of the stacks is exceeded.
D The calculations are performed in the sequence complying with
“Order of priority of operations”. The commands and values are
cleared from the stacks when the calculation has been completed.
Example:

Numeric stack Command stack

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Input ranges
Internal digits: 12
Accuracy*: Normally, there is an accuracy of "1 at the 10th digit.

Functions Input range

Same as sinx, except when

Same as sinx, except when

Same as sinx, except when

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Functions Input range

(x is an integer)

(n, r are integers)

(n, r are integers)

(Same as sin x)

(Decimal < > Sexagesimal conversion)

(n is an integer)
However

n is an integer)
However
The total of digits for the integer, numerator and
denominator must not exceed 10 digits (including
division marks)

* For a single calculation, the calculation error is "1 at the 10th digit. (In
the case of exponential displays, the calculation error is "1 at the last
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digit.) The errors are cumulative in the case of consecutive calculations and,
therefore, could be large. (This also applies to internal consecutive
calculations that are performed in the case of 5, xǠy, x!, 3Ǡ, nPr, nCr
etc., for example.) In the vicinity of the singular point of a function and point
of inflection, errors are cumulative and may become large.
Replacing the battery (LR44)
When digits appear dim in the calculator display, it indicates a low battery
voltage. If the calculator continues to be used despite low battery voltage,
it may lead to malfunctions. Therefore, replace the battery as soon as
possible when the digits displayed appear dim.
1 Press the keys to switch off the
power supply.
2 Remove the retaining screw from the
battery compartment cover and remove
the cover.
3 Remove the old battery.
4 Wipe the sides of the new battery with a
soft, dry cloth. Then insert the battery Screw
with the positive + end at the top (so that
you can see it).
5 Replace the battery compartment cover
in position and secure it with the
retaining screw.
6 Press the key to switch on the
power supply.
Auto power off
The power supply of the calculator is automatically switched off if no key is
pressed for approximately six minutes. If this occurs, press the key to
switch on the power supply again.
Cleaning and care
Clean the outside of the calculator with a dry, soft cloth. If the calculator is
very soiled, dampen the cloth with a mild soap-water solution to clean it.
Wring out the cloth well to remove any excess moisture. Never use thinner,
solvents or other volatile liquids to clean the calculator. Otherwise, the
imprinted characters could be removed and the housing damaged.

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Guarantee - it is essential to retain this!
Dear Customers,
We are pleased that you have chosen to purchase this device. Should a
technical problem arise with regard to the equipment, please observe the
following points:

D The period of guarantee for the equipment is 36 months.

D It is essential to keep the purchase receipt and original packaging.
D The first line of action if a problem occurs is to contact our hotline:

Hotline international
00800 100 22 100

service.uk@gsl­servicenet.de
service.cy@gsl­servicenet.de

If the fault can not be rectified via the phone, we would ask you to send the
appliance in its original packaging to the following address:
GSL mbH
Am Weimarer Berg 6
99510 Apolda
Germany

We are sorry for any inconvenience. IAN 92312

Yours faithfully
Olympia Business Systems
Vertriebs GmbH

LCD-8510S R
EN 55022: 2006 Olympia Business Systems Vertriebs GmbH
EN 55024: 1998 + A1: 2001+A2:2003 Zum Kraftwerk 1
45527 Hattingen

24.05.2013

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 All rights reserved.
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