Ativa PET1030 User Manual

AT-30i

Owner's Manual

2-lines display

Scientific Calculator

with advance

statistical functions

Please read before using.

Before Starting Calculations

Operation Modes

When using this calculator, it is necessary to select the
proper mode to meet your requirements. This can be done
by pressing [MODE] to scroll through sub-menus. Then
select the appropriate mode by keying in the number.

Press [MODE] once to read the first page of the main
menu.

COM P S D R EG

1 2 3

Press [MODE] again.

Deg R a d G ra

1 2 3

Press [MODE] further.

Fix S c i N or m

1 2 3

Press "MODE" once more to leave the menu.

_

0.

Calculation Modes
"COMP" mode : - general calculations, including function

calculations can be executed.
"SD" mode:- standard deviation calculation can be
executed. "SD" symbol appears in display.
"REG" mode:- regression calculations can be performed.
"REG" symbol appears in display.

Angular Measurement Modes
"DEG" mode:- specify measurement in "degrees". "D"

symbol appears in display window.
"RAD" mode:- specify measurement in "radians". "R"
symbol appears in display window.
"GRA" mode:- specify measurement in "grads". "G"
symbol appears in display window.

Display Modes
"FIX" mode:- specify number of decimal places. "Fix"

symbol appears in display window.
"SCI" mode:- specify number of significant digits. "Sci"
symbol appears in display window.

– 4 – – 8 – – 12 – – 16 –

If after mak ing corrections, input of the formula is
complete, the answer can be obtained by pressing [ = ]. If,
however, more is to be added to the formula, advance the
cursor using the [4] key to the end of the formula for
input.

If an unnecessary character has been included in a
formula, use the [3] and [4] keys to move to the
position of the error and press the "DEL" key. Each press
of "DEL" will delete one command ( one step ).

Example: To correct an input of 369   2 to 369  2 :-
369[][]2

[3][3][DEL]

369 xx 2 _

369 x2

0.

D

0.

D

If a character has been omitted from a formula, use the
[3] and [4 ] key to move to the position where the
character should have been input, and press [SHIFT ]
followed by [INS] key. Each press of [SHIFT] [INS] will
create a space for input of one command.

Example: To correct an input of 2.362 to sin 2.362 :-
2[•]36[x2]

[3][3][3][3][3]

[SHIFT][INS]

[sin]

2.3 62_

2

2.3 6

2

.3 6

sin . 36

0.

D

0.

D

0.

D

2

0.

D

When [SHIFT] [INS] are pressed, the space that is opened
is displayed as " ". The function or value assigned to the
next key you press will be inserted in the . To exit from
the insertion mode, move the cursors, or press [SHIFT]
[INS] , or press [=].

Even after the [=] key has been pressed to calculate a
result, it is possible to use this procedure for correction.
Press the [3] key to move the cursor to the place where
the correction is to be made.

Display
Example Operation (Lower)

The stored 10-digit
result (28.571421857) is
used when you continue
the calculation by simply
pressing [] or any other
arithmetic function key.

Cancel specification by
specifying "Norm" again.

[]

14 [=]
(The final result is
automatically rounded to
the specified three
decimal places.)
[

MODE][MODE][MODE

][3][1]

Ans 

(upper display)

400.000

400.

Rounding the Intermediate Result

As the number of decimal places is specified, the
intermediate result will be automatically rounded to the
specified decimal places. However, the stored
intermediate result is not rounded. In order to match the
displayed value and the stored value, [SHIFT ] [Rnd] can
be input.

You can compare the final result obtained in the previous
example with the final result of the following example.

Display
Example Operation (Lower)

200714 = 400
rounded to 3 decimal
places

round the stored
intermediate result to
the specified three
decimal places

Cancel specification by
specifying "Norm" again.

200[]7 [] 14[=]
[

MODE][MODE][MODE

200[]7 [=]
The intermediate result is
automatically rounded
to the specified three
decimal places.
[SHIFT] [Rnd]

[]

14 [=]
[

MODE][MODE][MODE

][1][3]

][3][1]

400.

400.000

28.571

28.571

Ans 

(upper display)

399.994

399.994

To clear memory contents, press [0] [STO] [M].

Addition/subtraction to or from sum in memory cannot
be carried out with [M+], [SHIFT] [M–] keys in "SD" mode
and "REG" mode.

Difference between [STO][M] and [M+], [SHIFT][M–] :-

Both [STO] [M] and [M+], [SHIFT] [M–] can be used to
input results into memory, however when the [STO] [M]
operation is used, previous memory contents are cleared.
When either [M+] or [SHIFT ] [M–] is used, value is added
or subtracted to or from present sum in memory.

Example: Input 456 into memory "M" using [STO] [M]
procedure. Memory already contains value of 123.

[ON/AC] [1] [2] [3] [STO] [M]

[ON/AC] [4] [5] [6] [STO] [M]

[ON/AC]

[RCL] [M]

M=

M=

_

M=

M

M

M

M

123.

D

456.

D

0.

D

456.

D

Example: Input 456 into memory "M" using M+. Memor y
already contains value of 123.

[ON/AC] [1] [2] [3] [STO] [M]

[ON/AC] [4] [5] [6] [M+]

[ON/AC]

[RCL] [M]

M=

456

_

M=

M

M

M

M

123.

D

456.

D

0.

D

579.

D

Safety Precautions

Be sure to read the following safety precautions before
using this calculator. Keep this manual handy for later
reference.

Batteries

• After removing the batteries from the calculator, put
them in a safe place where there is no danger of them
getting into the hands of small children and accidently
swallowed.

• Keep batteries out of the reach of children. If accidentally
swallowed, consult with a physician immediately.

• Never charge batteries, try to take batteries apart, or
allow batteries to become shorted. Never expose
batteries to direct heat or dispose of them by
incineration.

• Misuse of batteries can cause them to leak acid that can
cause damage to nearby items and creates the
possibility of fire and personal injury.

• Always make sure that a battery's positive (+) and
negative (–) sides are facing correctly when you load it
into the calculator.

• Remove the batteries if you do not plan to use the
calculator for a long time.

• Use only the type of batteries specified for this calculator
in this manual.

• Do not mix old and new batteries. Do not mix alkaline,
standard (carbon-zinc), or rechargeable (nickle cadmium)
batteries.

• Battery Contains Mercury. Do Not Put in Trash. Recycle or
Manage as Hazardous Waste.

Disposing of the Calculator

• Never dispose of the calculator by burning it. Doing so
can cause certain components to suddenly burst,
creating the danger of fire and personal injury.

• The displays and illustrations (such as key markings)
shown in this Owner's Manual are for illustrative
purposes only, and may differ somewhat from the actual
items they represent.

• The contents of this manual are subjec t to change
without notice.

"NORM" mode:- cancels "Fix" and "Sci" specifications.

Note:-

• Mode indicators appear in the lower part of the display.

• The "COMP", "SD", and "REG" modes can be used in
combination with the angle unit modes.

• Be sure to check the current calculation mode (COMP, SD,
REG) and angle unit mode (DEG, RAD, GRA) before
beginning a calculation.

Calculation Priority Sequence

Calculations are performed in the following order of
precedence:-

1. Coordinate transformation: Pol(x, y),Rec(r, )

2. Type A functions :-

These functions are those in which the value is entered
and than the function key is pressed, such as x2, x–1, x!,

º

'''.

3. Powers and roots, xy, x√

4. Fractions, ab/c

5. Abbreviated multiplication format in front of π, memory

name or variable name, such as 2π, 5A, πA, etc.

6. Type B functions :-

These functions are those in which the function key is
pressed and then the value is entered such as √, 3√, log,
ln, ex, 10x, 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, such as, 2√3, A log2, etc.

8. Permutation, combination, nPr, nCr

9. , 

10. , 

• When functions with the same priority are used in series,
execution is per formed from right to left for :- exln√120
➞ ex{ln(√120)}. Otherwise, execution is from left to right.

• Operations enclosed in parentheses are performed first.

Stacks

This calculator uses memory areas, called "stacks", to
temporarily store values (numeric stack) and commands
(command stack) according to their precedence during
calculations. The numeric stack has 10 levels and the
command stack has 24 levels. A stack error (stk ERROR)
occurs whenever you try to perform a calculation that is
so complex that the capacity of a stack is exceeded.

Arithmetic Operations & Parenthesis Calculations

• Arithmetic operations are performed by pressing the
keys in the same order as noted in the formula.

• For negative values, press [(-)] before entering the value

• For mixed basic arithmetic operations, multiplication and
division are given priority over addition and subtraction

• Assuming that display mode "Norm 1" is selected.

Display
Example Operation (Lower)

23 + 4.5 –53 =–25.5
56(–12)(–2.5)=268.8
12369753274103=

6.90368061310
(4.51075)(–2.3

–79

10

) = –1.03510

(2+3)102=500

(1105)7=

14285.71429
(1105)714285=

0.7142857
please note that internal calculation is calculated
in 12 digits for a mantissa and the result is
displayed and rounded off to 10 digits.
3 + 5  6 = 33
7  8  4  5 = 36
1  2  3  4  5  6
= 6.6
100  (23)  4 = 80

2  3  ( 4  5 ) = 29

( 7  2 )  ( 8  5 ) = 65

10  { 2  7  ( 3  6 )}
= –55

23 [] 4.5 [] 53 [=]
56[][(–)]12[][(–)]2.5[=]
12369[] 7532 []

12

74103[=]

4.5[EXP]75 [] [(–)]2.3

–3

[EXP] [(–)]79 [=]
[( ] 2 [] 3[ )][]
10[x2] [=]
1[EXP]5 [] 7 [=]

1[EXP]5[]7 []
14285 [=]

3 [] 5 [] 6 [=]
7 [] 8 [] 4 [] 5 [=]
1 [] 2 [] 3 [] 4 []
5 [] 6 [=]
100 [][( ] 2 [] 3[ )]
[] 4 [=]
2 [] 3 [] [(] 4 [] 5 [=]
Closed parentheses
occurring immediately
before operation of the
[=] key may be omitted.
[( ] 7 [] 2 [ )][( ] 8 [] 5 [=]
A multiplication sign []
occurring immediately
before an open parantheses
can be omitted.
10 [][( ] 2 [] 7 [( ] 3 []
6 [=]

–25.5

268.8

6.903680613

–1.035

14285.71429

0.7142857

12

–03

500.

33.

36.

6.6

80.

29.

65.

–55.

Specifying the Number of Significant Digits

This specification is used to automatically round
intermediate results and final results to the number of
digits you have specified.

As with the number of decimal places, displayed results
are rounded to the specified number of digits, but stored
results are normally not rounded.

To specify the number of significant digits (Sci.), select
[SCI] in the sub-menu "FIX/SCI/NORM" and then you are
asked to enter a value indicating the number of significant
digits (0~9) as below.

Sci 0 ~ 9?

Note : "0" indicating 10 significant digits.
Meanwhile, the "Sci" indicator will appear on the display.

Display
Example Operation (Lower)

1006 = 16.66666666
specify 5 significant
digits
Cancel specification by
specifying "Norm" again.

100[]6 [=]
[

Mode][Mode][Mode

[

Mode][Mode][Mode

][2][5]

][3][1]

16.66666667

1.6667

16.66666667

01

Special Functions

Answer Function

This unit has an answer function that stores the result of
the most recent calculation. Once a numeric value or
numeric expression is entered and [=] is pressed, the
result is stored by this function.

To recall the stored value, press the [Ans] [=] key. When
[Ans] is pressed, "Ans" will appear on the display, and the
value can be used in subsequent calculations.

Example: 123456 = 579
789579 = 210

[ON/AC][1][2][3][][4][5][6][=]

[7][8][9][][Ans]

[=]

123 +4 5 6

789 –A n s_

789 –A n s

579.

D

579.

D

210.

D

Numeric values with 12 digits for a mantissa and 2 digits
for an exponent can be stored in the "Ans" memory. The

"Ans" memory is not erased even if the power of the unit

Shifting the Decimal Place

You can use the key [ENG] to shift the decimal point of
the displayed value three places to the left or right. Each
3-place shift to the left is the same as dividing the value
by 1000, and each shift to the right is the same as
multiplying by 1000. This means that this function is
useful when converting metric weights and measures to
other metric units.

Display
Example Operation (Lower)

123m456 = 56088m
= 56.088km
78g0.96 = 74.88g
= 0.07488kg

123[]456 [=]
[ENG]
78[]0.96 [=]
[SHIFT] [ENG]

56088.

56.088

74.88

0.07488

03

03

is turned OFF. Each time [=] , [Shift] [%] , [M+] , [Shift] [M–] ,
and [STO]  ( = A ~ F, M, X, Y ) is pressed, the value in the
Ans memory is replaced with the new value produced by
the calculation execution. When execution of a
calculation results in an error, however, the "Ans" memory
retains its current value.
Note:- Contents of "Ans" memory are not altered when
RCL  ( = A~F, M, X, Y) is used to recall contents of
variable memory. Also, contents of "Ans" memory are not
altered when variables are input when the variable input
prompt is displayed.

Omitting the multiplication sign ()

When inputting a formula as it is written, from left to right,
it is possible to omit the multiplication sign () in the
following cases :-

– 1 –

Handling Precautions

• Be sure to press the "ON/AC" key before using the
calculator for the first time.

• Even if the calculator is operating normally, replace the
battery at least once every three years. Dead battery can
leak, causing damage to and malfunction of the
calculator. Never leave the dead battery in the calculator.

• The battery that comes with this unit discharges slightly
during shipment and storage. Because ofthis, it may
require replacement sooner than the normal expected
battery life.

• Low battery power can cause memory contents to
become corrupted or lost completely. Always keep
written records of all important data.

• Avoid use and storage in areas subjected to temperature
extremes. Very low temperatures can cause slow display
response,total failure of the display, and shor tening of
battery life.Also avoid leaving the calculator in direct
sunlight, neara window, near a heater or anywhere else it
might become exposed to very high temperatures. Heat
can cause discoloration or deformation of the
calculator's case, anddamage to internal circuitry.

• Avoid use and storage in areas subjected to large
amounts of humidity and dust. Take care never to leave
the calculator where it might besplashed by water or
exposed to large amounts of humidity or dust. Such
elements can damage internal circuitry.

• Never drop the calculator or otherwise subject it to
strong impact.

• Never twist or bend the calculator. Avoid carrying the
calculator in the pocket of your trousers or other
tight-fitting clothing where it might be subjected to
twisting or bending.

• Never try to take the calculator apart.

• Never press the keys of the calculator with a ball-point
pen or other pointed object.

• Use a soft, dry cloth to clean the exterior of the unit. If the
calculator becomes very dirty, wipe it off with acloth
moistened in a weak solution of water and a mildneutral
household detergent. Wring out all excess moisture
before wiping the calculator. Never use thinner, benzine
or other volatile agents to clean the calculator. Doing so
can remove printed markings and damage the case.

– 2 –

– 5 –

Error Loacator

Pressing [3] or [4 ] after an error occurs display the
calculation with the cursor positioned at the location
where the error occured.

Overflow and Errors

The calculator is locked up while an error message is on
the display. Press [ON/AC] to clear the error, or press [3]
or [4] to display the calculation and correct the problem.

"Ma ERROR" caused by:-

• Calculation result is outside the allowable calculation
range.

• Attempt to perform a function calculation using a value
that exceeds the allowable input range.

• Attempt to perform an illegal operation (division by zero,
etc.).

Action

• Check your input values and make sure they are all
within the allowable ranges. Pay special attention to
values in any memory areas you are using.

"Stk ERROR" caused by:-

• Capacity of the numeric stack or operator stack is
exceeded.

Action

• Simplify the calculation. The numeric stack has 10 levels
and the operator stack has 24 levels.

• Divide your calculation into two or more separate parts.

"Syn ERROR" caused by:-

• Attempt to perform an illegal mathematical operation.

Action

• Press to display the calculation with the cursor located at

the location of the error. Make necessary corrections.

Number of Input/output Digits and Calculation Digits

The memory area used for calculation input can hold 79
"steps". One function comprises one step. Each press of
numeric or  ,  ,  and  keys comprise one step.
Though such operations as [SHIFT] [x!] (x–1 key) require
two key operations, they actually comprise only one
function, and, therefore, only one step. These steps can be
confirmed using the cursor. With each press of the [3] or
[4] key, the cursor is moved one step.

– 6 –

– 9 – – 13 – – 17 –

Percentage Calculations

Use the "COMP" mode for percentage calculations.

Display
Example Operation (Lower)

Percentage

26% of $15.00

Ratio

75 is what % of 250?

15 []26 [SHIFT] [%]

75[]250 [SHIFT] [%]

3.9

30.

Specifying the Format of Calculation Results

You can change the precision of calculation results by
specifying the number of decimal places or the number of
significant digits. You can also shift the decimal place of a
displayed value three places to the left or right for
one-touch conversions of metric weights and measures.

Upon power up reset, the display format is defaulted at
"Norm1". Each time when you press "[MODE] [MODE]
[MODE] [3]" you can choose either "Norm 1" or "Norm 2"
by keying in [1] or [2] respectively.
Norm 1 :- all values less than 10–2 or greater than 109 are
automatically expressed as exponents.
Norm 2 :- all values less than 10–9 or greater than 109 are
automatically expressed as exponents.
Note: You cannot specify the display format (Fix, Sci) while
the calculator is in Base-N mode.

Specifying the Number of Decimal Places

The calculator always performs calculations using a
10-digit mantissa and 2-digit exponent, and results are
stored in memory as a 12-digit mantissa and 2-digit
exponent no matter how many decimal places you
specify. Intermediate results and final results are then
automatically rounded off to the number of decimal
places you have specified.

It should be noted that displayed results are rounded
to the specified number of decimal places, but stored
results are normally not rounded.

To specify the number of decimal places ( Fix ), press
"[MODE] [MODE] [MODE] [1]" and then a value
indicating the number of decimal places (0~9).

Fix 0 ~ 9?

At this time, you should be able to see "Fix" on the display.
The number of decimal places specified will remain in

– 10 – – 14 – – 18 –

Memory

This calculator contains 9 standard memories. There are
two basic types of memories, i.e., "variable" memories,
which are accessed by using the [STO] and [RCL] keys in
combination with the alphabets A, B, C, D, E, F, M, X and Y.
The "independent" memory, which is accessed by using
the [M+] , [Shift] [M–] and [RCL] and [M] keys. The
independent memory uses the same memory area as
variable M.
Contents of both the variable and independent memories
are protected even when the power is turned OFF.

Variable memories

Up to 9 values can be retained in memory at the same
time, and can be recalled when desired.

Example: Input 123 into memory "A" :-
[ON/AC] 123

[STO] [A]

[ON/AC]

[RCL] [A]

123

A=

_

A=

_

0.

D

123.

D

0.

D

123.

D

When formulas are input, the result of the formula's
calculation is retained in memory.

Example: Input the result of 123456 into memory "B" :-
[ON/AC] 123 [] 456

[STO] [B]

[ON/AC]

[RCL] [B]

123 X4 5 6

B=

_

B=

_

0.

D

56088.

D

0.

D

56088.

D

• Before the following functions :­sin, cos, tan, sin–1, cos–1, tan–1, sinh, cosh, tanh, sinh–1,
cosh–1, tanh–1, log, ln, 10x, ex, √, 3√, Pol(x,y), Rec(r, )
example: 2sin30, 10log1.2, 2√3, 2Pol(5, 12), etc.

• Before fixed numbers, variales and memories :­example: 2π, 2AB, 3Ans, etc.

• Before parentheses :-

example: 3(56), (A1)(B1), etc.

Continuous Calculation Function

Even if calculations are concluded with the [=] key, the
result obtained can be used for further calculations. In
this case, calculations are performed with 10 digits for the
mantissa which is displayed.

Example: To calculate 3.14 continuing after 34=12
[ON/AC] [3] [] [4] [=]

(continuing) [] [3] [•] [1] [4]

[=]

3x4

Ans ÷3 . 14 _

Ans ÷3 . 14

3.821656051

D

D

D

12.

12.

Example: To calculate 133 =
[AC] [1] [] [3] [] [3] [=]

[1] [] [3] [=]

(continuing) [] [3] [=]

1÷3 x3

1÷3

0.333333333

Ans x3

1.

D

D

1.

D

Two-lines Display

hyp M STO RCL SD REG Fix Sci

S A D R G

You can simultaneously check the calculation formula and
its answer. The first line displays the calculation formula.
The second line displays the answer.

Keys Layout

SHIFT

ALPHA

nPr Rec(

x!

–1

x

nCr

d

/c

ab/c

ENG

,,,

(–)

º

STO

RCL

A B C

7 8 9

y

yn yn

4 5 6

x

xn xn

1 2 3

Rnd Ran#

0 •

REPLAY

Pol(

hyp

r

( )

–

–

π

EXP

– 3 –

3

sin

1

1

2

x

–1

DCBA

sin

X Y

DEL

cos

;

INS

+

x y

+

DRG

Ans

MODE

3

x

x

10

log

–1

cos

,

OFF

x

y

x

x

e

ln

–1

FE

tan

tan

M

M–

M+

DT

CL

Scl

Mcl

ON/AC

÷

–

%

=

Whenever you input the 73rd step of any calculation, the
cursor changes from "_" to "■" to let you know memory is
running low. If you still need to input more, you should
divide you calculation into two or more parts.

When numeric values or calculation commands are input,
they appear on the display from the left. Calculation
results, however, are displayed from the right.

The allowable input/output range (number of digits) of
this unit is 10 digits for a mantissa and 2 digits for the
exponent. Calculations, however, are performed internally
with a range of 12 digits for a mantissa and 2 digits for an
exponent.

Example: 3  105  7 =
3[EXP]5[÷]7[=]

3[EXP]5[÷]7[]42857[=]

3E5 ÷7

42857.14286

3E5 ÷7 – 42 857

D

0.1428571

D

Corrections

To make corrections in a formula that is being input, use
the [3] and [4] keys to move to the position of the error
and press the correct keys.

Example: To change an input of 122 to 123 :-
[1] [2] [2]

[3]

[3]

122 _

122

123 _

0.

D

0.

D

0.

D

Example: To change an input of cos60 to sin60 :-
[cos] [6] [0]

[3] [3] [3]

[sin]

– 7 –

cos 6 0

cos 6 0

sin 6 0

0.

D

0.

D

0.

D

effect until "Norm" (to select "Norm" press "[MODE]
[MODE] [MODE] [3]") is specified or significant digits are
specified using "[MODE] [MODE] [MODE] [2]".

[ON/AC] [MODE]

[MODE]

[MODE]

[1]

[4] (to specify 4 decimal places)

COM P S D R EG

1 2 3

Deg R a d G ra

1 2 3

Fix S c i N or m

1 2 3

Fix 0 ~ 9?

_

0.0 00 0

D Fix

Reset to "Norm"

[ON/AC] [MODE]

[MODE]

[MODE]

[3]

COM P S D R EG

1 2 3

Deg R a d G ra

1 2 3

Fix S c i N or m

1 2 3

Nor m 1 ~2 ?

[1]

Display
Example Operation (Lower)

1006 = 16.66666666
specify 4 decimal places
cancel specification

200714 = 400
rounded to 3 decimal
places

100 [] 6 [=]
[

MODE][MODE][MODE

[

MODE][MODE][MODE
[3] [1]
200[]7 [] 14[=]
[

MODE][MODE][MODE

200 [] 7[ =]
The intermediate result is
automatically rounded
to the specified three
decimal places.

– 11 – – 15 – – 19 –

][1][4]
]

][1][3]

16.66666667

16.6667

16.66666667

400.

400.000

28.571

If a variable expression is entered, the expression is first
calculated according to the values stored in the variable
memories used in the expression. The result is then stored
in the variable memory specified for the result.

Example: Input the results of AB into memory "C" :-
[ON/AC] [ALPHA] [A] []
[ALPHA] [B]

[STO] [C]

[ON/AC]

[RCL] [C]

AXB _

C=

_

C=

0.

D

6898824.

D

0.

D

6898824.

D

Deleting memories

To delete all contents of variable memories, press [Shift]
followed by [Mcl] [=].

Independent Memory

Addition and subtraction (to and from sum) results can be
stored directly in memory. Results can also be totalized in
memory, making it easy to calculate sums. The icon "M"
will be lighted as long as M is not empty.

Example: Input 123 to independent memory.
[ON/AC] [1] [2] [3]

[M+]

Recall memory data

[ON/AC]

[RCL] [M]

Add 25, subtract 12

25 [M+] 12 [SHIFT] [M–]

Recall memory data

[ON/AC]

[RCL] [M]

123 _

123

_

M=

12

_

M=

0.

D

123.

D

0.

D

123.

D

12.

D

0.

D

136.

D

This function can be used with Type A functions ( x2, x–1,
x!), , , xy, x√ and º' ".

Example: Squaring the result of 786=13
[ON/AC] [7] [8] [] [6] [=]

(continuing) [x2]

[=]

78÷ 6

Ans2_

Ans

13.

D

13.

D

2

169.

D

Replay Function

This function stores formulas that have been executed.
After execution is complete, pressing either the [3] or
[4] key will display the formula executed.
Pressing [4] will display the formula from the beginning,
with the cursor located under the first character.
Pressing [3] will display the formula from the end, with
the cursor located at the space following the last
character. After this, using the [4] and [3] to move the
cursor, the formula can be checked and numeric values or
commands can be changed for subsequent execution.

Example:
[ON/AC] [1] [2] [3] []
[4] [5] [6] [=]

[4]

[=]

[3]

123 x4 5 6

123 x4 5 6

123 x4 5 6

123 x4 5 6

56088.

D

56088.

D

56088.

D

_

56088.

D

Example:

4.123.586.4 = 21.1496

4.123.587.1 = 7.6496

[ON/AC] [4] [•] [1] [2] []
[3] [•] [5] [8] [] [6] [•] [4] [=]

[3]

[3] [3] [3] [3]

[] [7] [•] [1]

[=]

4.1 2x 3 .5 8 +6 .

21.1496

D

12x 3. 5 8+ 6 .4

21.1496

D

4.1 2x 3 .5 8 +6 .

21.1496

D

12x 3. 5 8– 7 .1

21.1496

D

4.1 2x 3 .5 8 –7 .

7.6496

D

_

_

The replay function is not cleared even when [ON/AC] is
pressed or when power is turned OFF, so contents can be
recalled even after [ON/AC] is pressed.

Replay function is cleared when mode or operation is
switched.

Error Position Display Function

When an ERROR message appears during operation
execution, the error can be cleared by pressing the
[ON/AC] key, and the values or formula can be re-entered
from the beginning. However, by pressing the [3] or [4]
key, the ERROR message is cancelled and the cursor moves
to the point where the error was generated.

Example: 1402.3 is input by mistake
[ON/AC] [1] [4] [] [0] []
[2] [.] [3] [=]

[3] (or [4] )

Ma ER R OR

14÷ 0x 2 .3

0.

D

Correct the input by pressing

[3] [SHIFT] [INS] [1]

[=]

14÷ 10 x 2. 3

14÷ 10 x 2. 3

– 20 – – 24 – – 28 – – 32 – – 36 –

0.

D

3.22

D

Display
Example Operation (Lower)

Using any four numbers
from 1 to 7, how many
four digit even numbers
can be formed if none of
the four digits consist of
the same number?
(3/7 of the total number
of permutations will be
even.)

7P437 = 360

If any four items are
removed from a total
of 10 items, how many
different combinations
of four items are
possible?

10C4 = 210

If 5 class officers are
being selected for a
class of 15 boys and
10 girls, how many
combinations are
possible? At least one
girl must be included
in each group.

25C515C5 = 50127

7[

SHIFT

][nPr]4[]3[]

7[=]

10[nCr]4[=]

25[nCr]5[]15[nCr]5[=]

Other Functions (√ , x2, x–1, x!, 3√, Ran#)

Display
Example Operation (Lower)

√2√5 = 3.65028154
22324252 = 54

(3)2 = 9
1/(1/3–1/4) = 12
8! = 40320

3

√(364249) = 42

Random number
generation (number is
in the range of 0.000 to

0.999)

[√]2[][√]5[=]
2[x2][]3[x2][]4[x2]
[]5[x2][=]
[(][(–)]3[)][x2][=]
[(]3[x–1][]4[x–1][)][x–1][=]
8[

SHIFT

][x!][=]
[3√][(]36[]42[]49[)][=]
[

SHIFT

][Ran#][=]

3.65028154

360.

210.

50127.

40320.

0.792

(random)

Example 5 30 [DT] 50 [DT] 120 [SHIFT ] [;] 31 [DT]
To delete 120 [SHIFT] [;] 31 [DT], press [SHIFT] [CL].
Example 6
To delete 120 [SHIFT] [;] 31

50 [DT] 120 [SHIFT] [;] 31 [DT ] 40 [DT] 30 [DT]

[DT]

, press 120 [SHIFT] [;] 31

[SHIFT] [CL].
Example 7 [√] 10
To delete [√] 20
Example 8 [√] 10
To delete [√] 20

[DT]

[√] 20

[DT]

[√] 30

[DT]

, press [√] 20 [=] [Ans] [SHIFT] [CL].

[DT]

[√] 20

[DT]

[DT]

, press [√] 20 [SHIFT] [;] [(–)] 1

[√] 30

[DT]

[DT]

[DT]

.

Performing calculations

The following procedures are used to perform the various
standard deviation calculations.

Key operation Result

[

SHIFT

[

SHIFT

[

SHIFT
[RCL][A]
[RCL][B]
[RCL][C]

][xσn]
][xσn–1]
][x]

Population standard deviation, xσn
Sample standard deviation, xσn–1
Mean, x
Sum of square of data, ∑x
Sum of data, ∑x
Number of data, n

2

Standard deviation and mean calculations are performed
as shown below:
Population standard deviation σn = √(∑(xix)2/n)
where i = 1 to n
Sample standard deviation σn–1 = √(∑(xix)2/(n-1))
where i = 1 to n
Mean x = (∑x)/n

Example Operation Display

Data 55, 54, 51, 55, 53,
53, 54, 52

54.

9.

12.

42.

What is deviation of the
unbiased variance, and
the mean of the above
data?

[

MODE

][2]

(SD Mode)

[

SHIFT

][Scl][=]
55[DT]54[DT ]51[DT]
55[DT]53[DT ][DT]54[DT]
52[DT]
[RCL][C]
[RCL][B]
[RCL][A]
[

SHIFT

[

SHIFT

[

SHIFT

[

SHIFT

[x2][=]

(Memory cleared)

(Number of data)

(Sumof data)

(Sum of square of data)

][x][=]

(Mean)

][xσn][=]

(Population SD)

][xσn–1][=]

][xσn–1]

(Sample variance)

(Sample SD)

0.

0.

52.

8.

427.

22805.

53.375

1.316956719

1.407885953

1.982142857

Example Operation Display

Temperature and length
of a steel bar
Temp Length
10ºC 1003mm
15ºC 1005mm
20ºC 1010mm
25ºC 1011mm
30ºC 1014mm
Using this table, the
regression formula and
correlation coefficient
can be obtained. Based
on the coefficient
formula, the length of
the steel bar at 18ºC
and the temperature
at 1000mm can be
estimated. Furthermore
the critical coefficient
(r2) and covariance can
also be calculated.

[

MODE

][3][1]
("REG" then select linear regression)
[

SHIFT

][Scl][=]

][A][=]
][B][=]

][r][=]

SHIFT

][y]

][r][x2][=]

][x][][

RCL][C][–

(Memory cleared)

(Constant term A)

(Length at 18ºC)

][x]

(Temp at 1

SHIFT

]1[)][=]

000

mm)

][y][)][]

(Covariance)

10[,]1003[DT]
15[,]1005[DT]
20[,]1010[DT]
25[,]1011[DT]
30[,]1014[DT]
[

SHIFT

[

SHIFT

(Regression coefficient B)

[

SHIFT

(Correlation coefficient r)

18[
1000[SHIFT
[

SHIFT

(Critical coefficient)

[(][RCL][F][–][RCL][C][]
[

SHIFT

[(][

0.

0.

10.

15.

20.

25.

30.

997.4

0.56

0.982607368

1007.48

4.642857143

0.965517241

35.

Logarithmic regression

Logarithmic regression calculations are carried out using
the following formula:
y = A + B•lnx

Data input

Press [MODE] [3] [2] to specify logarithmic regression
under "REG" mode.
Press [SHIFT] [Scl] [=] to clear the statistical memories.
Input data in the following format: <x data>, <y data>
[DT]

• To make multiple entries of the same data, follow
procedures described for linear regression.

Deleting input data

To delete input data, follow the procedures described for
linear regression.

Deleting input data

To delete input data, follow the procedures described for
linear regression

Performing calculations

If 1/x is stored instead of x itself, the inverse regression
formula y = A + ( B/x ) becomes the linear regression
formula y = a + bx. Therefore, the formulas for constant
term A, regression coefficient B and correlation coefficient
r are identical the power and linear regression.
A number of inverse regression calculation results differ
from those produced by linear regression. Note the
following:

Linear regression Inverse regression

∑x
∑x
∑xy

2

∑(1/x)
∑(1/x)
∑(y/x)

2

Example Operation Display

xi yi
2 2
3 3
4 4
5 5
6 6
Through inverse
regression of the above
data, the regression
formula and correlation
coefficient are obtained.
Furthermore, the
regression formula is
used to obtain the
respective estimated
values of y and x, when
xi = 10 and yi = 9.

[

MODE

][3][4][2]
("REG" then select Inv regression)
[

SHIFT

][Scl][=]

][A][=]
][B][=]

][r][=]

SHIFT

][y]

][x]

(Memory cleared)

(Constant term A)

(y when xi=10)

(x when yi=9)

2[,]2[DT]
3[,]3[DT]
4[,]4[DT]
5[,]5[DT]
6[,]6[DT]
[

SHIFT

[

SHIFT

(Regression coefficient B)

[

SHIFT

(Correlation coefficient r)

10[
9[SHIFT

0.

0.

2.

3.

4.

5.

6.

7.272727272

–11.28526646

–0.950169098

6.144200627

–6.533575316

Scientific Function

Trigonometric functions and inverse trigonometric
functions

• Be sure to set the unit of angular measurement before
performing trigonometric function and inverse
trigonometric function calculations.

• The unit of angular measurement (degrees, radians,
grads) is selected in sub-menu.

• Once a unit of angular measurement is set, it remains in
effect until a new unit is set. Settings are not cleared
when power is switched OFF.

Display
Example Operation (Lower)

sin 63º52'41"
= 0.897859012

cos (π/3 rad) = 0.5

tan (–35 grad)
= –0.612800788

2sin45ºcos65
= 0.597672477
sin–1 0.5 = 30
cos–1 (√2/2)
= 0.785398163 rad
= π/4 rad

tan–1 0.741
= 36.53844577
= 36º32' 18.4"
If the total number of digits for degrees/minutes/seconds exceed
11 digits, the higher order values are given display priority, and
any lower-order values are not displayed. However, the entire
value is stored within the unit as a decimal value.

2.5(sin–10.8cos–10.9)
= 68º13'13.53"

º

º

[

MODE][MODE

][1]("DEG" selected)
[sin] 63 [º ' "] 52 [º ' "]
41 [º ' "][=]
[

MODE][MODE

][2]("RAD" selected)
[cos][(] [

SHIFT
[)] [=]
[

MODE][MODE

("GRA" selected)

[tan] [(–)] 35 [=]
[

MODE][MODE
2[sin] 45 [cos] 65 [=]
[

SHIFT
[

MODE][MODE
[

SHIFT
[)][=]
[][
[

MODE][MODE
[

SHIFT
[

SHIFT

2.5[] [(] [
[] [
[=] [

][π][]3

][3]

][1]("DEG")

][sin–1] 0.5 [=]

][2]("RAD")

][cos–1][(][√]2 []2

SHIFT

][π][=]

][1]("DEG")

][tan–1]0.741[=]
] [←º' "]

SHIFT

] [sin–1]0.8

SHIFT

] [cos–1] 0.9 [)]

SHIFT

] [←º' "]

– 21 – – 25 – – 29 – – 33 – – 37 –

0.897859012

0.5

–0.612800788

0.597672477

30.

0.785398163

0.25

36.53844576
36º32º18.4

68º13º13.53

Display
Example Operation (Lower)

√(1–sin240)
= 0.766044443

1/2!1/4!1/6!1/8!
= 0.543080357

[

MODE][MODE

][1]("DEG" selected)

[√][(]1[][(][sin]40[)][x2]
[)][=]
[

SHIFT

][cos–1][Ans][=]

2[

SHIFT

][x!][x–1][]

4[

SHIFT

][x!][x–1][]

6[

SHIFT

][x!][x–1][]

8[

SHIFT

][x!][x–1][=]

0.766044443

40.

0.543080357

Fractions

Fractions are input and displayed in the order of integer,
numerator and denominator. Values are automatically
displayed in decimal format whenever the total number of
digits of a frac tional value (interger + numerator +
denominator + separator marks) exceeds 10.

Display
Example Operation (Lower)

2

/531/4 = 313/20

456

3

º

º

/78 = 811/13

1

/25781/4572

= 0.00060662

1

/20.5 = 0.25

1

/3(–4/5)–5/6 = –11/10

1

/21/31/41/5
= 13/60
(1/2)/3 = 1/6

1/(1

/31/4) = 15/7

2[ab/c]5[]3[ab/c]1
[ab/c]4[=]
[ab/c]

(conversion to decimal)
Fractions can be converted
to decimals, and then
converted back to fractions.
3[ab/c]456[ab/c]78[=]
[

SHIFT

][d/c]
1[ab/c]2578[]1[ab/c]
4572[=]
When the total number
of characters, including
integer, numerator,
denominator and
delimiter mark exceeds
10, the input fraction is
automatically displayed
in decimal format.
1[ab/c]2[].5[=]
1[ab/c]3[][(–)]4[ab/c]5
[]5[ab/c]6[=]
1[ab/c]2[]1[ab/c]3[]
1[ab/c]4[]1[ab/c]5[=]
[(]1[ab/c]2[)][ab/c]3[=]
1[ab/c][(]1[ab/c]3[]
1[ab/c]4[)][=]

3⎦13⎦20.

8⎦11⎦13.

115⎦13.

6.066202547

–1⎦1⎦10.

13⎦60.

1⎦5⎦7.

3.65

–04

0.25

1⎦6.

Regression Calculation

In the REG mode, calculations including linear regression,
logarithmic regression, exponential regression, power
regression, inverse regression and quadratic regression
can be performed.

Press [MODE] [3] to enter the "REG" mode:

COM P S D R EG

1 2 3

and then select one of the following regression types:-

Lin L o g E xp

1 2 3

Lin: linear regression
Log: logarithmic regression
Exp: exponential regression

press [4] for the other three regression types:-

Pwr I n v Q ua d

1 2 3

Pwr: power regression
Inv: inverse regression
Quad: quadratic regression

Linear regression

Linear regression calculations are carried out using the
following formula:
y = A + Bx.

Data input
Press [MODE] [3] [1] to specify linear regression under
the "REG" mode.
Press [Shift] [Scl] [=] to clear the statistical memories.
Input data in the following format: <x data> [,] <y data>
[DT]

• When multiples of the same data are input, two different
entry methods are possible:

Example 1 Data: 10/20, 20/30, 20/30, 40/50
Key operation: 10 [,] 20 [DT ]
20 [,] 30 [DT] [DT ]
40 [,] 50 [DT]
The previously entered data is entered again each time
the [DT] key is pressed (in this case 20/30 is re-entered).

Performing calculations

The logarithmic regression formula y = A + B•lnx. As x is
input, In(x) will be stored instead of x itself. Hence, we can
treat the logarithmic regression formula same as the
linear regression formula. Therefore, the formulas for
constant term A, regression coefficient B and correlation
coefficient r are identical for logarithmic and linear
regression.

Example Operation Display

xi yi
29 1.6
50 23.5
74 38
103 46.4
118 48.9
The logarithmic
regression of the above
data, the regression
formula and correlation
coefficient are obtained.
Furthermore, respective
estimated values y and

x can be obtained for
xi = 80 and yi = 73 using

the regression formula.

[

MODE

][3][2]
("REG" then select LOG regression)
[

SHIFT

][Scl][=]

][A][=]
][B][=]
][r][=]

SHIFT

][x]

(Memory cleared)

(Constant term A)

(Regression coefficient B)

(Correlation coefficient r)

][y]

(y when xi=80)

(x when yi=73)

29[,]1.6[DT]
50[,]23.5[DT]
74[,]38[DT]
103[,]46.4[DT]
118[,]48.9[DT]
[

SHIFT

[

SHIFT

[

SHIFT
80[
73[SHIFT

0.

0.

29.

50.

74.

103.

118.

–111.1283975

34.02014748

0.994013946

37.94879482

224.1541314

A number of logarithmic regression calculation results
differ from those produced by linear regression. Note the
following:

Linear regression Logarithmic regression

∑x
∑x
∑xy

2

∑Inx

∑(Inx)

∑y•Inx

2

Exponential regression

Exponential regression calculations are carried out using
the following formula:

B•x

y = A•e

(ln y = ln A +Bx)

Data input

Press [MODE] [3] [3] to specify exponential regression
under the "REG" mode.
Press [SHIFT] [Scl] [=] to clear the statistical memories.
Input data in the following format: <x data>,<y data> [DT]

• To make multiple entries of the same data, follow
procedures described for linear regression.

Deleting input data

To delete input data, follow the procedures described for

Quadratic Regression

Quadratic regression calculations are carried out using the
following formula:
y = A + Bx + Cx2

Data input

Press [MODE] [3] [4] [3] to specify quadratic regression
under the "REG" mode.
Press [SHIFT] [Scl] [=] to clear the statistical memories.
Input data in this format: <x data>,<y data> [DT]

• To make multiple entries of the same data, follow
procedures described for linear regression.

Deleting input data

To delete input data, follow the procedures described for
linear regression.

Performing calculations

The following procedures are used to perform the various
linear regression calculations.
The regression formula is y = A + Bx + Cx2 where A, B, C are
regression coefficients.
C = [(n∑x2(∑x)2) (n∑x2y∑x2∑y )(n∑x3∑x2∑x) (n∑xy
∑x∑y)][(n∑x2(∑x)2) (n∑x4(∑x2)2)(n∑x3∑x2∑x)2]
B = [

n∑xy∑x∑y

A = (

∑yB∑xC∑x2) / n

To read the value of

C (

n∑x3∑x2∑x)](n∑x2(∑x

∑x3,

∑x4 or

∑x2y

)2)

, you can recall

memory [RCL] M, Y and X respectively.

Example Operation Display

xi yi
29 1.6
50 23.5
74 38
103 46.4
118 48
Through power
regression of the above
data, the regression
formula and correlation
coefficient are obtained.
Furthermore, the
regression formula is
used to obtain the
respective estimated
values of y and x, when
xi = 16 and yi = 20.

[

MODE

][3][4][3]
("REG" then select Quad regression)
[

SHIFT

][Scl][=]
29[,]1.6[DT]
50[,]23.5[DT]
74[,]38[DT]
103[,]46.4[DT]
118[,]48[DT]
[

SHIFT

][A][=]

(Constant term A)

[

SHIFT

][B][=]

(Regression coefficient B)

[

SHIFT

][C][=]

(Regression coefficient C)

16[

SHIFT

][y]

(y when xi=16)

20[SHIFT

][x](x

when yi=20)

1

[

SHIFT

][x](x

when yi=20)

2

–35.59856935

1.495939414

–6.716296671

–13.38291067

47.14556728

175.5872105

29.

50.

74.

103.

118.

–03

0.

linear regression.

Performing Hyperbolic and Inverse Hyperbolic Functions

Display
Example Operation (Lower)

sinh3.6= 18.28545536
cosh1.23 = 1.856761057
tanh2.5= 0.986614298
cosh1.5sinh1.5
= 0.22313016
sinh–1 30 = 4.094622224
cosh–1 (20/15)
= 0.795365461
x = (tanh–1 0.88) / 4
= 0.343941914

–1

sinh

2cosh–11.5

= 1.389388923

–1

sinh

(2/3)tanh–1(4/5)

= 1.723757406

[hyp][sin] 3.6 [=]
[hyp][cos] 1.23 [=]
[hyp][tan] 2.5 [=]
[hyp][cos] 1.5 [][hyp]
[sin] 1.5 [=]
[hyp][

SHIFT

][sin–1] 30 [=]

[hyp][

SHIFT

][cos–1][(] 20
[] 15 [)][=]
[hyp][

SHIFT

][tan–1]0.88
[]4[=]
[hyp][

SHIFT

][sin–1]2[]
[hyp][

SHIFT

][cos–1]1.5[=]
[hyp][

SHIFT

][sin–1][(]2[]
3[)][][hyp][
[(]4[]5[)][=]

SHIFT

][tan–1]

18.28545536

1.856761057

0.986614298

0.22313016

4.094622224

0.795365461

0.343941914

1.389388923

1.723757406

Logarithmic and Exponential Functions

Display
Example Operation (Lower)

log1.23
= 8.990511110
In90 = 4.49980967
log456In456
= 0.434294481

1.23

10

= 16.98243652

4.5

e

= 90.0171313
104 • e–41.2 • 10
= 422.5878667

(–3)4 = 81
–34 = –81

2.3

5.6

= 52.58143837

7

√123 = 1.988647795

–12

(7823)
= 1.30511182910
233√644 = 10

(5+6.7)

23.4

= 3306232

[log] 1.23 [=]

–2

[In] 90 [=]
[log]456[In]456 [=]

[

SHIFT

][10x] 1.23 [=]

[

SHIFT

2.3

][ex]4.5[=]

[

SHIFT

][10x]4[][

[(–)]4[]1.2[][

2.3[=]
[(][(–)] 3 [)] [xy] 4 [=]
[(–)] 3 [xy] 4 [=]

5.6 [xy] 2.3 [=]
7 [

SHIFT

[(]78[]23[)][xy][(–)]12[=]

–21

2[]3[]3[
[]4[=]
2[]3.4[xy][(]5[]6.7[)][=]

– 22 –

SHIFT

][x√] 123 [=]

SHIFT

SHIFT

][x√]64

16.98243652

][ex]

][10x]

1.305111829

0.089905111

4.49980967

0.434294481

90.0171313

422.5878667

–81.

52.58143837

1.988647795

3306232.001

81.

–21

10.

Degree, Radian, Gradient Interconversion

Degree, radian and gradient can be converted to each
other with the use of [SHIFT ][DRG>]. Once [SHIFT ]
[DRG>] have been keyed in, the "DRG" selection menu
will be shown as follows.

D R G
1 2 3

Example Operation Display

Define degree first
Change 20 radian to
degree
To perform the following
calculation :­10 radians+25.5 gradients
The answer is expressed
in degree.

[

MODE][MODE

20[

SHIFT

10[

SHIFT
[]25.5[
[=]

][1]("DEG" selected)

][DRG>][2][=]

][DRG>][2]

SHIFT

][DRG>][3]

20r

1145.91559

10r25.5g

595.9077951

Degrees, Minutes, Seconds Calculations
You can perform sexagesimal calculations using degrees
(hours), minutes and seconds. And convert between
sexagesimal and decimal values.

Example Operation Display

To express 2.258 degrees
in deg/min/sec.
To perform the calculation:
12º34'56"3.45

2.258[º' "][=]

12[º' "]34[º' "]56[º' "][]

3.45[=]

2º15º28.8

43º24º31.2

Example 2 Data: 10/20, 20/30, 20/30, 20/30, 20/30, 20/30,
40/50
Key operation: 10 [,] 20 [DT ]
20 [,] 30 [SHIFT] [;] 5 [DT ]
40 [,] 50 [DT]
By pressing [SHIFT] and then entering a semicolon
followed by a value that represents the number of times
the data is repeated (5, in this case) and the [DT] key, the
multiple data entries (for 20/30, in this case) are made
automatically.

Deleting input data

There are various ways to delete value data, depending on
how and where it was entered.

Example 1 10 [,] 40 [DT]
20 [,] 20 [DT]
30 [,] 30 [DT]
40 [,] 50
To delete 40 [,] 50, press [ON/AC]

Example 2 10 [,] 40 [DT]
20 [,] 20 [DT]
30 [,] 30 [DT]
40 [,] 50 [DT]
To delete 40 [,] 50 [DT], press [SHIFT][CL]

Example 3
To delete 20 [,] 20 [DT], press 20 [,] 20 [SHIFT][CL]

Example 4 [√] 10 [,] 40 [DT]

[√] 40 [,] 50 [DT]
To delete[√]10[,]40[DT],
press [√]10[=][Ans][,]40[SHIFT][CL]

Performing calculations

If we assume that lny = y and lnA = a', the exponential
regression formula y = A•e

B•x

(ln y = ln A +Bx) becomes
the linear regression formula y =a' + bx if we store In(y)
instead of y itself. Therefore, the formulas for constant
term A, regression coefficient B and correlation coefficient
r are identical for exponential and linear regression.

A number of exponential regression calculation results
differ from those produced by linear regression. Note the
following:

Linear regression Exponential regression

∑y
∑y
∑xy

2

∑Iny
∑(Iny)
∑x•Iny

2

Example Operation Display

xi yi

6.9 21.4

12.9 15.7

19.8 12.1

26.7 8.5

35.1 5.2
Through exponential
regression of the above
data, the regression
formula and correlation
coefficient are obtained.
Furthermore, the
regression formula is
used to obtain the
respective estimated
values of y and x, when
xi = 16 and yi = 20.

[

MODE

][3][3]
("REG" then select Exp regression)
[

SHIFT

][Scl][=]

][A][=]

][B][=]

][r][=]

SHIFT

][y]
][x]

(x when yi=20)

(Memory cleared)

(Constant term A)

(y when xi=16)

6.9[,]21.4[DT]

12.9[,]15.7[DT]

19.8[,]12.1[DT]

26.7[,]8.5[DT]

35.1[,]5.2[DT]
[

SHIFT

[

SHIFT

(Regression coefficient B)

[

SHIFT

(Correlation coefficient r)

16[
20[SHIFT

0.

0.

6.9

12.9

19.8

26.7

35.1

30.49758742

–0.049203708

–0.997247351

13.87915739

8.574868045

Replacing the Battery

Dim figures on the display of the calculator indicate that
battery power is low. Continued use of the calculator
when the battery is low can result in improper operation.
Replace the battery as soon as possible when display
figures become dim.

To replace the battery:-

• Remove the screws that hold the back cover in place and
then remove the back cover,

• Remove the old battery,

• Wipe off the side of the new battery with a dry, soft cloth.
Load it into the unit with the positive(+) side facing up.

• Replace the battery cover and secure it in place with the
screws.

• Press [ON/AC] to turn power on.

Auto Power Off

Calculator power automatically turns off if you do not
perform any operation for about six minutes. When this
happens, press [ON/AC] to turn power back on.

Specifications

Power supply: AG13 x 2 batteries
Operating temperature: 0º ~ 40ºC (32ºF ~ 104ºF)

Power regression

Power regression calculations are carried out using the
following formula:
y = A•xB (lny = lnA + Blnx)

Data input

Press [MODE] [3] [4] [1] to specify "power regression".
Press [SHIFT] [Scl] [=] to clear the statistical memories.
Input data in the following format: <x data>,<y data> [DT]

• To make multiple entries of the same data, follow
procedures described for linear regression.

Deleting input data

To delete input data, follow the procedures described for
linear regression

– 26 – – 30 – – 34 – – 38 –

Coordinate Transformation

• This scientific calculator lets you convert between
rectangular coordinates and polar coordinates, i.e., P(x, y)
↔ P(r, )

• Calculation results are stored in variable memory E and
variable memory F. Contents of variable memory E are
displayed initially. To display contents of memory F,
press [RCL] [F].

• With polar coordinates,  can be calculated within a
range of –180º< ≤180º.
(Calculated range is the same with radians or grads.)

Display
Example Operation (Lower)

x=14 and y=20.7, what
are r and º?

x=7.5 and y=–10, what
are r and  rad?

r=25 and = 56º, what
are x and y?

r=4.5 and =2π/3 rad,
what are x and y?

[

MODE][MODE

][1]("DEG" selected)
[Pol(]14 [,]20.7[)][=]
[RCL][F]
[

SHIFT

][←º' "]

[

MODE][MODE

][2]("RAD" selected)
[

Pol(]7.5

[,][(–)]10[)][=]
[RCL][F]
[

MODE][MODE

][1]("DEG" selected)

[

SHIFT

][Rec(]25 [,]56[)][=]
[RCL][F]
[

MODE][MODE

][2]("RAD" selected)

[

SHIFT

][Rec(]4.5[,][(]2[]
3[][

SHIFT

][π][)][)][=]

[RCL][F]

24.98979792(r)

55.92839019()
55º55º42.2()

12.5(r)

–0.927295218

13.97982259(x)

20.72593931(y)

–2.25(x)

3.897114317(y)

()

Permutation and Combination

Total number of permutations nPr = n!/(nr)!
Total number of combinations nCr = n!/(r!(nr)!)

Display
Example Operation (Lower)

Taking any four out of
ten items and arranging
them in a row, how many
different arrangements
are possible?

10P4 = 5040

10[

SHIFT

][nPr]4[=] 5040.

– 23 – – 27 – – 31 – – 35 –

Statistical Calculations

This unit can be used to make statistical calculations
including standard deviation in the "SD" mode, and
regression calculation in the "REG" mode.

Standard Deviation

In the "SD" mode, calculations including 2 types of
standard deviation formulas, mean, number of data, sum
of data, and sum of square can be performed.

Data input

1. Press [MODE] [2] to specify SD mode.

2. Press [SHIFT] [Scl] [=] to clear the statistical memories.

3. Input data, pressing [DT] key (= [M+]) each time a new
piece of data is entered.

Example Data: 10, 20, 30
Key operation: 10 [DT] 20 [DT] 30 [DT]

• When multiples of the same data are input, two different
entry methods are possible.
Example 1 Data: 10, 20, 20, 30
Key operation: 10 [DT] 20 [DT] [DT] 30 [DT]
The previously entered data is entered again each time
the DT is pressed without entering data (in this case 20
is re-entered).
Example 2 Data: 10, 20, 20, 20, 20, 20, 20, 30
Key operation: 10 [DT] 20 [SHIFT] [;] 6 [DT] 30 [DT]

By pressing [SHIFT] and then entering a semicolon
followed by value that represents the number of items the
data is repeated (6, in this case) and the [DT] key, the
multiple data entries (for 20, in this case) are made
automatically.

Deleting input data

There are various ways to delete value data, depending on
how and where it was entered.

Example 1 40 [DT] 20 [DT] 30 [DT ] 50 [DT]
To delete 50, press [SHIFT] [CL].
Example 2 40 [DT] 20 [DT] 30 [DT ] 50 [DT]
To delete 20, press 20 [SHIFT] [CL].
Example 3 30 [DT] 50 [DT] 120 [SHIFT ] [;]
To delete 120 [SHIFT] [;] , press [ON/AC].
Example 4 30 [DT] 50 [DT] 120 [SHIFT ] [;] 31
To delete 120 [SHIFT] [;] 31, press [AC].

Key Operations to recall regression calculation results

Key operation Result

[

SHIFT

[

SHIFT

[

SHIFT

[

SHIFT

[

SHIFT

[

SHIFT

[

SHIFT

[

SHIFT

[

SHIFT

[

SHIFT

[

SHIFT

[

SHIFT
[RCL][A]
[RCL][B]
[RCL][C]
[RCL][D]
[RCL][E]
[RCL][F]

][A][=]
][B][=]
][C][=]
][r][=]
][x][=]
][y][=]
][yσn]
][yσn–1]
][y]
][xσn]
][xσn–1]
][x]

Constant term of regression A
Regression coefficient B
Regression coefficient C
Correlation coefficient r
Estimated value of x
Estimated value of y
Population standard deviation, yσn
Sample standard deviation, yσn–1
Mean, y
Population standard deviation, xσn
Sample standard deviation, xσn–1
Mean, x
Sum of square of data, ∑x
Sum of data, ∑x
Number of data, n
Sum of square of data, ∑y
Sum of data, ∑y
Sum of data, ∑xy

2

2

Performing calculations

The following procedures are used to perform the various
linear regression calculations.

The regression formula is y = A + Bx. The constant term of
regression A, regression coefficient B, correlation r,
estimated value of x, and estimated value of y are
calculated as shown below:

A = ( ∑y∑x )/n
B = ( n∑xy∑x∑y ) / ( n∑x2(∑x )2)

r = ( n∑xy∑x∑y ) / √ (( n∑x2(∑x )2)( n∑y2(∑y )2))
y = A + Bx
x = ( yA) / B

Performing calculations

If we assume that lny = y, lnA =a' and ln x = x, the power
regression formula y = A•xB (lny = lnA + Blnx) becomes
the linear regression formula y = a' + bx if we store In(x)
and In(y) instead of x and y themselves. Therefore, the
formulas for constant term A, regression coefficient B and
correlation coefficient r are identical the power and linear
regression.
A number of power regression calculation results differ
from those produced by linear regression. Note the
following:

Linear regression Power regression

∑x
∑x
∑y
∑y
∑xy

2

2

∑Inx
∑(Inx)
∑Iny
∑(Iny)
∑Inx•Iny

2

2

Example Operation Display

xi yi
28 2410
30 3033
33 3895
35 4491
38 5717
Through power
regression of the above
data, the regression
formula and correlation
coefficient are obtained.
Furthermore, the
regression formula is
used to obtain the
respective estimated
values of y and x, when
xi = 40 and yi = 1000.

[

MODE

][3][4][1]
("REG" then select Pwr regression)
[

SHIFT

][Scl][=]

][A][=]

][B][=]

][r][=]

SHIFT

][y]

][x]

(Memory cleared)

(Constant term A)

(y when xi=40)

(x when yi=1000)

28[,]2410[DT]
30[,]3033[DT]
33[,]3895[DT]
35[,]4491[DT]
38[,]5717[DT]
[

SHIFT

[

SHIFT

(Regression coefficient B)

[

SHIFT

(Correlation coefficient r)

40[
1000[SHIFT

0.238801069

2.771866156

0.998906255

6587.674587

20.26225681

0.

0.

28.

30.

33.

35.

38.

Inverse regression

Power regression calculations are carried out using the
following formula:
y = A + ( B/x )

Data input

Press [MODE] [3] [4] [2] to specify "inverse regression".
Press [SHIFT] [Scl] [=] to clear the statistical memories.
Input data in the following format: <x data>,<y data> [DT]

• To make multiple entries of the same data, follow

procedures described for linear regression.