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Before Starting Calculations
If after making corrections, input of the formula is
complete, the answer can be obtained by pressing [ = ]. If,
Operation Modes
however, more is to be added to the formula, advance the
When using this calculator, it is necessary to select the
cursor using the [4] key to the end of the formula for
proper mode to meet your requirements. This can be done
input.
by pressing [MODE] to scroll through sub-menus. Then
select the appropriate mode by keying in the number.
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
DS-700-36
Press [MODE] once to read the first page of the main
of "DEL" will delete one command ( one step ).
menu.
DS-700C
C OM P SD RE G
Example: To correct an input of 369 3 3 2 to 369 3 2 :-
1
2
3
369[3][3]2
DS-70021-36
Press [MODE] again.
D EG R AD GR A
[3][3][DEL]
1
2
3
Press [MODE] further.
If a character has been omitted from a formula, use the
F ix S ci No r m
2-lines display
1
2
3
[3] and [4] key to move to the position where the
character should have been input, and press [SHIFT]
Scientific Calculator
Press "MODE" once more to leave the menu.
followed by [INS] key. Each press of [SHIFT] [INS] will
create a space for input of one command.
_
0 .
Example: To correct an input of 2.36
Calculation Modes
2[•]36[x
"COMP" mode : - general calculations, including function
with advance
calculations can be executed.
statistical functions
"SD" mode:- standard deviation calculation can be
[3][3][3][3][3]
executed. "SD" symbol appears in display.
"REG" mode:- regression calculations can be performed.
"REG" symbol appears in display.
[SHIFT][INS]
See more great
Angular Measurement Modes
"DEG" mode:- specify measurement in "degrees". "D"
[sin]
products at:
symbol appears in display window.
"RAD" mode:- specify measurement in "radians". "R"
www.datexx.com
symbol appears in display window.
When [SHIFT] [INS] are pressed, the space that is opened
"GRA" mode:- specify measurement in "grads". "G"
is displayed as "
symbol appears in display window.
next key you press will be inserted in the
the insertion mode, move the cursors, or press [SHIFT]
Display Modes
[INS] , or press [=].
"FIX" mode:- specify number of decimal places. "FIX"
symbol appears in display window.
Even after the [=] key has been pressed to calculate a
"SCI" mode:- specify number of significant digits. "SCI"
result, it is possible to use this procedure for correction.
symbol appears in display window.
Press the [3] key to move the cursor to the place where
the correction is to be made.
Please read before using.
– 4 –
Safety Precautions
"NORM" mode:- cancels "Fix" and "Sci" specifications.
Arithmetic Operations & Parenthesis Calculations
Be sure to read the following safety precautions before
• Arithmetic operations are performed by pressing the
using this calculator. Keep this manual handy for later
Note:-
keys in the same order as noted in the formula.
reference.
• Mode indicators appear in the lower part of the display.
• For negative values, press [(-)] before entering the value
• The "COMP", "SD", and "REG" modes can be used in
• For mixed basic arithmetic operations, multiplication and
division are given priority over addition and subtraction
Batteries
combination with the angle unit modes.
• After removing the batteries from the calculator, put
• Be sure to check the current calculation mode (COMP, SD,
• Assuming that display mode "Norm 1" is selected.
them in a safe place where there is no danger of them
REG) and angle unit mode (DEG, RAD, GRA) before
getting into the hands of small children and accidently
beginning a calculation.
swallowed.
Example
• Keep batteries out of the reach of children. If accidentally
Calculation Priority Sequence
23 + 4.5 –53 =–25.5
swallowed, consult with a physician immediately.
Calculations are performed in the following order of
563(–12)4(–2.5)=268.8
• Never charge batteries, try to take batteries apart, or
precedence:-
1236937532374103=
allow batteries to become shorted. Never expose
1. Coordinate transformation: Pol(x, y),Rec(r, u)
6.903680613310
batteries to direct heat or dispose of them by
2. Type A functions :-
(4.5310
incineration.
These functions are those in which the value is entered
10
–79
) = –1.035310
• Misuse of batteries can cause them to leak acid that can
and than the function key is pressed, such as x
2
, x
–1
, x!,
(2+3)310
cause damage to nearby items and creates the
º'''.
y
x
∏
possibility of fire and personal injury.
3. Powers and roots, x
,
5
(1310
)47=
• Always make sure that a battery's positive (+) and
4. Fractions, a
b
/
c
14285.71429
5. Abbreviated multiplication format in front of π, memory
negative (–) sides are facing correctly when you load it
5
(1310
)47214285=
into the calculator.
name or variable name, such as 2π, 5A, πA, etc.
0.7142857
• Remove the batteries if you do not plan to use the
6. Type B functions :-
please note that internal calculation is calculated
calculator for a long time.
These functions are those in which the function key is
in 12 digits for a mantissa and the result is
• Use only the type of batteries specified for this calculator
pressed and then the value is entered such as ∏ ,
3
∏ , log,
displayed and rounded off to 10 digits.
x
x
–1
–1
–1
in this manual.
ln, e
, 10
, sin, cos, tan, sin
, cos
, tan
, sinh, cosh, tanh,
3 + 5 3 6 = 33
sinh
–1
, cosh
–1
, tanh
–1
, (–).
7 3 8 2 4 3 5 = 36
Disposing of the Calculator
7. Abbreviated multiplication format in front of Type B
1 1 2 2 3 3 4 4 5 1 6
• Never dispose of the calculator by burning it. Doing so
functions, such as, 2∏ 3, A log2, etc.
= 6.6
can cause certain components to suddenly burst,
8. Permutation, combination, nPr, nCr
100 2 (213) 3 4 = 80
creating the danger of fire and personal injury.
9. 3, 4
• The displays and illustrations (such as key markings)
10. 1, 2
2 1 3 3 ( 4 1 5 ) = 29
shown in this Owner's Manual are for illustrative
purposes only, and may differ somewhat from the actual
• When functions with the same priority are used in series,
items they represent.
execution is performed from right to left for :- e
x
ln∏ 120
x
• The contents of this manual are subject to change
fi e
{ln(∏ 120)}. Otherwise, execution is from left to right.
without notice.
• Operations enclosed in parentheses are performed first.
( 7 2 2 ) 3 ( 8 1 5 ) = 65
Stacks
This calculator uses memory areas, called "stacks", to
temporarily store values (numeric stack) and commands
(command stack) according to their precedence during
10 2 { 2 1 7 3 ( 3 1 6 )}
calculations. The numeric stack has 10 levels and the
= –55
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.
– 1 –
– 5 –
Handling Precautions
Error Loacator
Percentage Calculations
• Be sure to press the "AC/ON" key before using the
Pressing [3] or [4] after an error occurs display the
Use the "COMP" mode for percentage calculations.
calculator for the first time.
calculation with the cursor positioned at the location
• Even if the calculator is operating normally, replace the
where the error occured.
Example
battery at least once every three years. Dead battery can
Percentage
leak, causing damage to and malfunction of the
Overflow and Errors
calculator. Never leave the dead battery in the calculator.
The calculator is locked up while an error message is on
26% of $15.00
Ratio
• The battery that comes with this unit discharges slightly
the display. Press [AC/ON] to clear the error, or press [3]
during shipment and storage. Because of this, it may
or [4] to display the calculation and correct the problem.
75 is what % of 250?
require replacement sooner than the normal expected
battery life.
"Ma ERROR" caused by:-
Specifying the Format of Calculation Results
• Low battery power can cause memory contents to
• Calculation result is outside the allowable calculation
You can change the precision of calculation results by
become corrupted or lost completely. Always keep
range.
specifying the number of decimal places or the number of
written records of all important data.
• Attempt to perform a function calculation using a value
significant digits. You can also shift the decimal place of a
• Avoid use and storage in areas subjected to temperature
that exceeds the allowable input range.
displayed value three places to the left or right for one-
extremes. Very low temperatures can cause slow display
• Attempt to perform an illegal operation (division by zero,
touch conversions of metric weights and measures.
response, total failure of the display, and shortening of
etc.).
Action
Upon power up reset, the display format is defaulted at
battery life. Also avoid leaving the calculator in direct
sunlight, near a window, near a heater or anywhere else
• Check your input values and make sure they are all
"Norm1". Each time when you press "[MODE] [MODE]
it might become exposed to very high temperatures.
within the allowable ranges. Pay special attention to
[MODE] [MODE] [3]" you can choose either "Norm 1" or
Heat can cause discoloration or deformation of the
values in any memory areas you are using.
"Norm 2" by keying in [1] or [2] respectively.
calculator's case, and damage to internal circuitry.
Norm 1 :- all values less than 10
• Avoid use and storage in areas subjected to large
"Stk ERROR" caused by:-
automatically expressed as exponents.
amounts of humidity and dust. Take care never to leave
• Capacity of the numeric stack or operator stack is
Norm 2 :- all values less than 10
the calculator where it might be splashed by water or
exceeded.
automatically expressed as exponents.
exposed to large amounts of humidity or dust. Such
Action
Note: You cannot specify the display format (Fix, Sci) while
elements can damage internal circuitry.
• Simplify the calculation. The numeric stack has 10 levels
the calculator is in Base-N mode.
• Never drop the calculator or otherwise subject it to
and the operator stack has 24 levels.
Specifying the Number of Decimal Places
strong impact.
• Divide your calculation into two or more separate parts.
• Never twist or bend the calculator. Avoid carrying the
The calculator always performs calculations using a 10-
"Syn ERROR" caused by:-
digit mantissa and 2-digit exponent, and results are stored
calculator in the pocket of your trousers or other tight-
fitting clothing where it might be subjected to twisting
• Attempt to perform an illegal mathematical operation.
in memory as a 12-digit mantissa and 2-digit exponent no
or bending.
Action
matter how many decimal places you specify.
• Never try to take the calculator apart.
• Press to display the calculation with the cursor located at
Intermediate results and final results are then
• Never press the keys of the calculator with a ball-point
the location of the error. Make necessary corrections.
automatically rounded off to the number of decimal
pen or other pointed object.
places you have specified.
• Use a soft, dry cloth to clean the exterior of the unit. If the
Number of Input/output Digits and Calculation Digits
It should be noted that displayed results are rounded
calculator becomes very dirty, wipe it off with a cloth
The memory area used for calculation input can hold 79
to the specified number of decimal places, but stored
moistened in a weak solution of water and a
"steps". One function comprises one step. Each press of
results are normally not rounded.
mild neutral household detergent. Wring out all excess
numeric or 1 , 2 , 3 and 4 keys comprise one step.
To specify the number of decimal places ( Fix ), press
moisture before wiping the calculator. Never use thinner,
Though such operations as [SHIFT] [x!] (x
–1
key) require
"[MODE] [MODE] [MODE] [1]" and then a value
benzine or other volatile agents to clean the calculator.
two key operations, they actually comprise only one
indicating the number of decimal places (0~9).
Doing so can remove printed markings and damage the
function, and, therefore, only one step. These steps can be
confirmed using the cursor. With each press of the [3] or
case.
[4] key, the cursor is moved one step.
At this time, you should be able to see "Fix" on the display.
The number of decimal places specified will remain in
– 2 –
– 6 –
Two-lines Display
Whenever you input the 73rd step of any calculation, the
effect until "Norm" (to select "Norm" press "[MODE]
cursor changes from "_" to "n" to let you know memory is
[MODE] [MODE] [3]") is specified or significant digits are
running low. If you still need to input more, you should
specified using "[MODE] [MODE] [MODE] [2]".
divide you calculation into two or more parts.
[AC/ON] [MODE]
When numeric values or calculation commands are input,
S A
hyp M STO RCL SD REG
D R G
Fix Sci
they appear on the display from the left. Calculation
You can simultaneously check the calculation formula and
results, however, are displayed from the right.
[MODE]
its answer. The first line displays the calculation formula.
The second line displays the answer.
The allowable input/output range (number of digits) of
this unit is 10 digits for a mantissa and 2 digits for the
[MODE]
exponent. Calculations, however, are performed internally
Keys Layout
with a range of 12 digits for a mantissa and 2 digits for an
exponent.
[1]
Example: 3 3 10
5
4 7 =
∏
3[EXP]5[
]7[=]
[4] (to specify 4 decimal places)
SHIFT
REPLAY
OFF
3
E
5∏7
ALPHA
MODE
42857.14286
D
∏
3[EXP]5[
]7[2]42857[=]
3
5∏7–42857
Reset to "Norm"
E
0.1428571
[AC/ON] [MODE]
x
x
!
nPr
Rec(
D
x
–1
3
x
3
y
nCr
Pol(
x
Corrections
x
e
x
To make corrections in a formula that is being input, use
[MODE]
d/c
10
b
x
2
the [3] and [4] keys to move to the position of the error
ENG
a
/c
log
ln
and press the correct keys.
A
B
C
sin
–1
D
cos
–1
E
tan
–1
F
Example: To change an input of 122 to 123 :-
[MODE]
,,,
(–)
º
hyp
sin
cos
tan
[1] [2] [2]
122_
r
;
0.
X
Y
M–
M
,
D
[3]
STO
RCL
(
)
M+
[3]
122
DT
CL
0.
A
B
C
INS
Mcl
Scl
D
7
8
9
DEL
AC
/ON
[3]
123_
Example
0.
y
y
sn
y
sn
–1
D
10046 = 16.66666666
∏
4
5
6
Example: To change an input of cos60 to sin60 :-
specify 4 decimal places
[cos] [6] [0]
cancel specification
cos 60
x
x
x
x
y
0.
sn
sn
–1
D
1
2
3
+
20047314 = 400
–
[3] [3] [3]
cos 60
rounded to 3 decimal
π
%
0.
places
Rnd
Ran#
DRG
D
0
•
=
EXP
Ans
[sin]
sin 60
0.
D
– 7 –
– 3 –
To clear memory contents, press [0] [STO] [M].
Display
Example
Operation
(Lower)
Addition/subtraction to or from sum in memory cannot
The stored 10-digit
[3]
Ans 3
be carried out with [M+], [Shift] [M–] keys in "SD" mode
result (28.571421857) is
(upper display)
and "REG" mode.
used when you continue
the calculation by simply
Difference between [STO][M] and [M+], [Shift][M–] :-
pressing [3] or any other
Both [STO] [M] and [M+], [Shift] [M–] can be used to
arithmetic function key.
input results into memory, however when the [STO] [M]
14 [=]
400.000
operation is used, previous memory contents are cleared.
(The final result is
When either [M+] or [Shift] [M–] is used, value is added or
automatically rounded to
subtracted to or from present sum in memory.
the specified three
369xx2_
decimal places.)
0.
Example: Input 456 into memory "M" using [STO] [M]
Cancel specification by
[Mode][Mode][Mode][3][1]
400.
D
procedure. Memory already contains value of 123.
specifying "Norm" again.
[AC/ON] [1] [2] [3] [STO] [M]
369x2
0.
D
Rounding the Intermediate Result
[AC/ON] [4] [5] [6] [STO] [M]
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
[AC/ON]
displayed value and the stored value, [SHIFT] [RND] can
be input.
2
to sin 2.36
2
:-
[RCL] [M]
2
]
You can compare the final result obtained in the previous
2.36
2
_
0.
example with the final result of the following example.
D
Example: Input 456 into memory "M" using M+. Memory
Display
already contains value of 123.
2.36
2
Example
Operation
(Lower)
0.
[AC/ON] [1] [2] [3] [STO] [M]
D
20047314 = 400
200[4]7 [3] 14[=]
400.
rounded to 3 decimal
[Mode][Mode][Mode][1][3]
400.000
.36
2
places
0.
[AC/ON] [4] [5] [6] [M+]
200[4]7 [=]
28.571
D
The intermediate result is
sin
.36
2
automatically rounded
[AC/ON]
0.
to the specified three
D
decimal places.
round the stored
[SHIFT] [RND]
28.571
". The function or value assigned to the
[RCL] [M]
intermediate result to
. To exit from
the specified three
decimal places
[3]
Ans 3
(upper display)
14 [=]
399.994
Cancel specification by
[Mode][Mode][Mode][3][1]
399.994
specifying "Norm" again.
– 8 –
– 12 –
Specifying the Number of Significant Digits
Special Functions
This specification is used to automatically round
intermediate results and final results to the number of
Answer Function
digits you have specified.
This unit has an answer function that stores the result of
the most recent calculation. Once a numeric value or
As with the number of decimal places, displayed results
numeric expression is entered and [=] is pressed, the
are rounded to the specified number of digits, but stored
result is stored by this function.
results are normally not rounded.
Display
To recall the stored value, press the [Ans] [=] key. When
[Ans] is pressed, "Ans" will appear on the display, and the
Operation
(Lower)
To specify the number of significant digits (Sci.), select
[SCI] in the sub-menu "FIX/SCI/NORM" and then you are
value can be used in subsequent calculations.
23 [1] 4.5 [2] 53 [=]
–25.5
56[3][(–)]12[4][(–)]2.5[=]
268.8
asked to enter a value indicating the number of significant
digits (0~9) as below.
Example: 1231456 = 579
12369[3] 7532 [3]
7892579 = 210
12
74103[=]
6.903680613
12
Sci 0 ~9?
75
)3(–2.33
4.5[EXP]75 [3] [(–)]2.3
[AC/ON][1][2][3][1][4][5][6][=]
–3
[EXP] [(–)]79 [=]
–1.035
–03
2
Note : "0" indicating 10 significant digits.
=500
[( ] 2 [1] 3[ )][3]
x
Meanwhile, the "Sci" indicator will appear on the display.
10[
2
] [=]
500.
[7][8][9][2][Ans]
1[EXP]5 [4] 7 [=]
Display
14285.71429
Example
Operation
(Lower)
1[EXP]5[4]7 [2]
10046 = 16.66666666
100[4]6 [=]
16.66666667
[=]
14285 [=]
0.7142857
01
specify 5 significant
[Mode][Mode][Mode][2][5]
1.6667
digits
Cancel specification by
[Mode][Mode][Mode][3][1]
16.66666667
Numeric values with 12 digits for a mantissa and 2 digits
specifying "Norm" again.
for an exponent can be stored in the "Ans" memory. The
3 [1] 5 [3] 6 [=]
33.
"Ans" memory is not erased even if the power of the unit
7 [3] 8 [2] 4 [3] 5 [=]
36.
Shifting the Decimal Place
is turned OFF. Each time [=] , [Shift] [%] , [M+] , [Shift] [M–] ,
1 [1] 2 [2] 3 [3] 4 [4]
You can use the key [ENG] to shift the decimal point of
and [STO] ` (` = A ~ F, M, X, Y ) is pressed, the value in the
5 [1] 6 [=]
6.6
the displayed value three places to the left or right. Each
Ans memory is replaced with the new value produced by
100 [2][( ] 2 [1] 3[ )]
3-place shift to the left is the same as dividing the value
the calculation execution.
[3] 4 [=]
80.
by 1000, and each shift to the right is the same as
calculation results in an error, however, the "Ans" memory
2 [1] 3 [3] [(] 4 [1] 5 [=]
29.
multiplying by 1000. This means that this function is
retains its current value.
Closed parentheses
useful when converting metric weights and measures to
Note:- Contents of "Ans" memory are not altered when
occurring immediately
other metric units.
RCL ` (` = A~F, M, X, Y) is used to recall contents of variable
before operation of the
memory. Also, contents of "Ans" memory are not altered
[=] key may be omitted.
Display
when variables are input when the variable input prompt
[( ] 7 [2] 2 [ )][( ] 8 [1] 5 [=]
65.
Example
Operation
(Lower)
A multiplication sign [3]
is displayed.
123m3456 = 56088m
123[3]456 [=]
56088.
occurring immediately
03
= 56.088km
[ENG]
56.088
Omitting the multiplication sign (3)
before an open parantheses
78g30.96
= 74.88g
78[3]0.96 [=]
74.88
When inputting a formula as it is written, from left to right,
can be omitted.
03
= 0.07488kg
[SHIFT] [ENG]
0.07488
it is possible to omit the multiplication sign (3) in the
10 [2][( ] 2 [1] 7 [( ] 3 [1]
–55.
following cases :-
6 [=]
– 9 –
– 13 –
Memory
• Before the following functions :-
This calculator contains 9 standard memories. There are
sin, cos, tan, sin
–1
–1
two basic types of memories, i.e., "variable" memories,
cosh
, tanh
Display
which are accessed by using the [STO] and [RCL] keys in
example: 2sin30, 10log1.2, 2∏ 3, 2Pol(5, 12), etc.
Operation
(Lower)
combination with the alphabets A, B, C, D, E, F, M, X and Y.
The "independent" memory, which is accessed by using
• Before fixed numbers, variales and memories :-
15 [3]26 [SHIFT] [%]
3.9
the [M+] , [Shift] [M–] and [RCL] and [M] keys. The
example: 2π, 2AB, 3Ans, etc.
independent memory uses the same memory area as
75[4]250 [SHIFT] [%]
30.
variable M.
• Before parentheses :-
Contents of both the variable and independent memories
example: 3(516), (A11)(B21), etc.
are protected even when the power is turned OFF.
Continuous Calculation Function
Variable memories
Even if calculations are concluded with the [=] key, the
Up to 9 values can be retained in memory at the same
result obtained can be used for further calculations. In
time, and can be recalled when desired.
this case, calculations are performed with 10 digits for the
mantissa which is displayed.
Example: Input 123 into memory "A" :-
[AC/ON] 123
Example: To calculate 43.14 continuing after 334=12
123_
0.
[AC/ON] [3] [3] [4] [=]
D
[STO] [A]
A=
–2
or greater than 10
9
are
123.
(continuing) [4] [3] [•] [1] [4]
D
–9
or greater than 10
9
are
[AC/ON]
_
0.
[=]
D
[RCL] [A]
A=
123.
D
Example: To calculate 14333 =
When formulas are input, the result of the formula's
[AC] [1] [4] [3] [3] [3] [=]
calculation is retained in memory.
Example: Input the result of 1233456 into memory "B" :-
[1] [4] [3] [=]
[AC/ON] 123 [3] 456
123X456_
0.
D
(continuing) [3] [3] [=]
[STO] [B]
B=
56088.
D
[AC/ON]
_
0.
D
[RCL] [B]
B=
F ix 0 ~9?
56088.
D
– 10 –
– 14 –
If a variable expression is entered, the expression is first
This function can be used with Type A functions ( x
calculated according to the values stored in the variable
x!), 1, 2, x
y, x
∏ and º' ".
memories used in the expression. The result is then stored
Example: Squaring the result of 7846=13
in the variable memory specified for the result.
[AC/ON] [7] [8] [4] [6] [=]
COM P SD REG
Example: Input the results of A3B into memory "C" :-
1
2
3
[AC/ON] [ALPHA] [A] [3]
AXB_
[ALPHA] [B]
0.
(continuing) [x
D
DEG RAD GRA
1
2
3
[STO] [C]
C=
6898824.
[=]
D
Fix Sci Nor m
1
2
3
[AC/ON]
_
0.
Replay Function
D
Fix 0~9?
This function stores formulas that have been executed.
[RCL] [C]
After execution is complete, pressing either the [3] or
C=
6898824.
[4] key will display the formula executed.
D
_
Pressing [4] will display the formula from the beginning,
0.0000
Deleting memories
with the cursor located under the first character.
D
Fix
To delete all contents of variable memories, press [Shift]
Pressing [3] will display the formula from the end, with
followed by [Mcl] [=].
the cursor located at the space following the last
character. After this, using the [4] and [3] to move the
COM P SD REG
1
2
3
Independent Memory
cursor, the formula can be checked and numeric values or
Addition and subtraction (to and from sum) results can be
commands can be changed for subsequent execution.
DEG RAD GRA
stored directly in memory. Results can also be totalized in
1
2
3
memory, making it easy to calculate sums. The icon "M"
Example:
will be lighted as long as M is not empty.
[AC/ON] [1] [2] [3] [3]
Example: Input 123 to independent memory.
[4] [5] [6] [=]
Fix Sci Nor m
1
2
3
[AC/ON] [1] [2] [3]
123_
0.
[4]
D
Nor m 1~2 ?
[M+]
123
123.
[=]
D
Recall memory data
Display
[AC/ON]
_
Operation
(Lower)
0.
[3]
D
100 [4] 6 [=]
16.66666667
[RCL] [M]
[Mode][Mode][Mode][1][4]
16.6667
M=
[Mode][Mode][Mode]
123.
Add 25, subtract 12
D
[3] [1]
16.66666667
200[4]7 [3] 14[=]
400.
25 [M+] 12 [SHIFT] [M–]
12
12.
[Mode][Mode][Mode][1][3]
400.000
D
Recall memory data
[AC/ON]
200 [4] 7[ =]
28.571
_
The intermediate result is
0.
D
automatically rounded
to the specified three
[RCL] [M]
M=
136.
decimal places.
D
– 11 –
– 15 –
Example:
4.1233.5816.4 = 21.496
4.1233.5827.1 = 7.6496
[AC/ON] [4] [•] [1] [2] [3]
4.12x3.58+6.
[3] [•] [5] [8] [1] [6] [•] [4] [=]
21.1496
[3]
12x3.58+6.4 _
21.1496
[3] [3] [3] [3]
4.12x3.58+6.
21.1496
[2] [7] [•] [1]
12x3.58–7.1 _
21.1496
M=
123.
[=]
4.12x3.58–7.
D
M=
456.
The replay function is not cleared even when [AC/ON] is
D
pressed or when power is turned OFF, so contents can be
recalled even after [AC/ON] is pressed.
_
0.
D
Replay function is cleared when mode or operation is
switched.
M=
456.
D
Error Position Display Function
When an ERROR message appears during operation
execution, the error can be cleared by pressing the
M=
[AC/ON] key, and the values or formula can be re-entered
123.
from the beginning. However, by pressing the [3] or [4]
D
key, the ERROR message is cancelled and the cursor moves
to the point where the error was generated.
456
456.
D
Example: 144032.3 is input by mistake
[AC/ON] [1] [4] [4] [0] [3]
_
Ma ERROR
0.
[2] [.] [3] [=]
D
[3] (or [4] )
M=
14∏0x2.3
579.
D
Correct the input by pressing
[3] [SHIFT] [INS] [1]
14∏10x2.3
[=]
14∏10x2.3
– 16 –
– 20 –
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.
Example
Operation
sin 63º52'41"
[MODE][MODE][1]
("DEG" selected)
123+456
= 0.897859012
[sin] 63 [º ' "] 52 [º ' "]
579.
D
41 [º ' "][=]
0.897859012
cos (π/3 rad) = 0.5
[MODE][MODE][2]
789–Ans_
("RAD" selected)
[cos][(] [SHIFT][π][4]3
579.
D
[)] [=]
tan (–35 grad)
[MODE][MODE][3]
789–Ans
= –0.612800788
("GRA" selected)
210.
D
[tan] [(–)] 35 [=]
–0.612800788
2sin45º3cos65º
[MODE][MODE][1]
("DEG")
= 0.597672477
2[sin] 45 [cos] 65 [=]
0.597672477
–1
–1
sin
0.5 = 30
[SHIFT][sin
] 0.5 [=]
cos
–1
(∏ 2/2)
[MODE][MODE][2]
("RAD")
= 0.785398163 rad
[SHIFT][cos
–1
][(][∏ ]2 [4]2
= π/4 rad
[)][=]
0.785398163
[4][SHIFT][π][=]
When execution of a
tan
–1
0.741
[MODE][MODE][1]
("DEG")
= 36.53844577º
[SHIFT][tan
–1
]0.741[=]
36.538445576
←
= 36º32' 18.4"
[SHIFT] [
º' "]
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.
2.53(sin
–1
0.82cos
–1
0.9)
2.5[3] [(] [SHIFT] [sin
–1
]0.8
–1
= 68º13'13.53"
[2] [SHIFT] [cos
] 0.9 [)]
←
[=] [SHIFT] [
º' "]
68º13º13.53º
– 17 –
– 21 –
Performing Hyperbolic and Inverse Hyperbolic Functions
–1
, cos
–1
, tan
–1
, sinh, cosh, tanh, sinh
–1
,
x
x
, ∏ ,
3
∏ , Pol(x,y), Rec(r, u)
, log, ln, 10
, e
Example
Operation
sinh3.6= 18.28545536
[hyp][sin] 3.6 [=]
18.28545536
cosh1.23 = 1.856761057
[hyp][cos] 1.23 [=]
1.856761057
tanh2.5= 0.986614298
[hyp][tan] 2.5 [=]
0.986614298
cosh1.52sinh1.5
[hyp][cos] 1.5 [2][hyp]
= 0.22313016
[sin] 1.5 [=]
sinh
–1
30 = 4.094622224
[hyp][SHIFT][sin
–1
] 30 [=]
4.094622224
cosh
–1
(20/15)
[hyp][SHIFT][cos
–1
][(] 20
= 0.795365461
[4] 15 [)][=]
0.795365461
–1
–1
x = (tanh
0.88) / 4
[hyp][SHIFT][tan
]0.88
= 0.343941914
[4]4[=]
0.343941914
–1
–1
–1
sinh
23cosh
1.5
[hyp][SHIFT][sin
]2[3]
= 1.389388923
[hyp][SHIFT][cos
–1
]1.5[=]
1.389388923
sinh
–1
(2/3)1tanh
–1
(4/5)
[hyp][SHIFT][sin
–1
][(]2[4]
= 1.723757406
3[)][1][hyp][SHIFT][tan
–1
]
[(]4[4]5[)][=]
1.723757406
3x4
12.
D
Logarithmic and Exponential Functions
Ans∏3.14_
12.
D
Example
Operation
Ans∏3.14
3.821656051
log1.23
[log] 1.23 [=]
D
–2
= 8.9905111310
0.089905111
In90 = 4.49980967
[In] 90 [=]
log4564In456
[log]4564[In]456 [=]
0.434294481
= 0.434294481
1∏3x3
1.
10
1.23
= 16.98243652
[SHIFT][10
] 1.23 [=]
x
16.98243652
D
e
4.5
= 90.0171313
[SHIFT][e
x
]4.5[=]
10
4
• e
–4
11.2 • 10
2.3
[SHIFT][10
]4[3][SHIFT][e
x
x
]
1∏3
0.333333333
= 422.5878667
[(–)]4[1]1.2[3][SHIFT][10
x
]
D
2.3[=]
422.5878667
(–3)
4
= 81
[(][(–)] 3 [)] [x
y
] 4 [=]
Ansx3
1.
–3
4
= –81
[(–)] 3 [x
y
] 4 [=]
D
5.6
2.3
= 52.58143837
5.6 [x
y
] 2.3 [=]
52.58143837
∏ 123 = 1.988647795
7
7 [SHIFT][
x
∏ ] 123 [=]
1.988647795
–12
y
(78223)
[(]78[2]23[)][x
][(–)]12[=]
1.305111829
= 1.305111829310
–21
3
∏ 6424 = 10
3
∏ ]64
2133
2[1]3[3]3[SHIFT][
[2]4[=]
233.4
(5+6.7)
= 3306232
2[3]3.4[x
y
][(]5[1]6.7[)][=]
3306232.001
– 18 –
– 22 –
2
, x
–1
,
Coordinate Transformation
• This scientific calculator lets you convert between
rectangular coordinates and polar coordinates, i.e., P(x, y)
↔ P(r, u)
78∏6
13.
• Calculation results are stored in variable memory E and
D
variable memory F. Contents of variable memory E are
2
]
2
displayed initially. To display contents of memory F,
Ans
_
13.
press [RCL] [F].
D
• With polar coordinates, u can be calculated within a
range of –180º< u≤180º.
Ans
2
(Calculated range is the same with radians or grads.)
169.
D
Example
Operation
x=14 and y=20.7, what
[MODE][MODE][1]
("DEG" selected)
[Pol(]14 [ , ]20.7[)][=]
are r and uº?
24.98979792(r)
[RCL][F]
55.92839019(u)
←
[SHIFT][
º' "]
55º55º42.2º(u)
x=7.5 and y=–10, what
[MODE][MODE][2]
("RAD" selected)
[Pol(]7.5[ , ][(–)]10[)][=]
are r and u rad?
[RCL][F]
–0.927295218(u)
r=25 and u= 56º, what
[MODE][MODE][1]
("DEG" selected)
are x and y?
[SHIFT][Rec(]25 [ , ]56[)][=]
13.97982259(x)
[RCL][F]
20.72593931(y)
r=4.5 and =2π/3 rad,
[MODE][MODE][2]
("RAD" selected)
[SHIFT][Rec(]4.5[ , ][(]2[4]
what are x and y?
123x456
3[3][SHIFT][π][)][)][=]
56088.
D
[RCL][F]
3.897114317(y)
123x456
56088.
Permutation and Combination
D
Total number of permutations nPr = n!/(n
2
r)!
Total number of combinations nCr = n!/(r!(n
r)!)
123x456
2
56088.
D
123x456_
Example
Operation
56088.
Taking any four out of
10[SHIFT][nPr]4[=]
D
ten items and arranging
them in a row, how many
different arrangements
are possible?
P
= 5040
10
4
– 19 –
– 23 –
Example 5 30 [DT] 50 [DT] 120 [SHIFT] [;] 31 [DT]
Display
Example
Operation
(Lower)
To delete 120 [SHIFT] [;] 31 [DT], press [SHIFT] [CL].
Example 6 50 [DT] 120 [SHIFT] [;] 31 [DT] 40 [DT] 30 [DT]
Using any four numbers
7[SHIFT][nPr]4[3]3[4]
360.
To delete 120 [SHIFT] [;] 31 [DT], press 120 [SHIFT] [;] 31
from 1 to 7, how many
7[=]
[SHIFT] [CL].
four digit even numbers
D
Example 7 [∏ ] 10 [DT] [∏ ] 20 [DT] [∏ ] 30 [DT]
can be formed if none of
To delete [∏ ] 20 [DT], press [∏ ] 20 [=] [Ans] [SHIFT] [CL].
the four digits consist of
Example 8 [∏ ] 10 [DT] [∏ ] 20 [DT] [∏ ] 30 [DT]
the same number?
To delete [∏ ] 20 [DT], press [∏ ] 20 [SHIFT] [;] [(–)] 1 [DT].
(3/7 of the total number
D
of permutations will be
Performing calculations
even.)
The following procedures are used to perform the various
P
3347 = 360
7
4
D
standard deviation calculations.
If any four items are
10[nCr]4[=]
210.
removed from a total
Key operation
Result
of 10 items, how many
[SHIFT][xσ
]
Population standard deviation, xσ
D
n
n
different combinations
Sample standard deviation, xσ
[SHIFT][xσ
n–1
]
n–1
of four items are
[SHIFT][x]
Mean, x
7.6496
possible?
[RCL][A]
Sum of square of data, ∑x
2
D
Sum of data, ∑x
10
C
4
= 210
[RCL][B]
If 5 class officers are
25[nCr]5[2]15[nCr]5[=]
50127.
[RCL][C]
Number of data, n
being selected for a
Standard deviation and mean calculations are performed
class of 15 boys and
as shown below:
10 girls, how many
Population standard deviation σ
= ∏ (∑(x
2x)
2
/
n
)
combinations are
n
i
where i = 1 to
n
possible? At least one
Sample standard deviation σ
= ∏ (∑(x
n–1
2x)
2
/(
n
-
1
))
girl must be included
i
where i = 1 to
n
in each group.
Mean x = (∑x)/
n
25
C
5
2
15
C
5
= 50127
Example
Operation
Display
Other Functions (∏ , x
2
, x
–1
, x!,
3
∏ , Rnd#)
Data 55, 54, 51, 55, 53,
[MODE][2]
(SD Mode)
53, 54, 52
[SHIFT][Scl][=]
(Memory cleared)
Display
55[DT]54[DT]51[DT]
Example
Operation
(Lower)
55[DT]53[DT][DT]54[DT]
∏ 21∏ 5 = 3.65028154
[∏ ]2[1][∏ ]5[=]
3.65028154
52[DT]
2
13
2
2
14
2
15
2
= 54
2[x
2
][1]3[x
2
][1]4[x
2
]
54.
What is deviation of the
[RCL][C]
(Number of data)
[1]5[x
2
][=]
unbiased variance, and
[RCL][B]
(Sumof data)
(23)
2
= 9
[(][(–)]3[)][x
2
][=]
9.
the mean of the above
[RCL][A]
(Sum of square of data)
22805.
1/(1/3–1/4) = 12
[(]3[x
–1
][2]4[x
–1
][)][x
–1
][=]
12.
data?
[SHIFT][x][=]
53.375
(Mean)
0.
[SHIFT][xσ
][=]
1.316956719
8! = 40320
8[SHIFT][x!][=]
40320.
n
(Population SD)
D
3
∏ (36342349) = 42
[
3
∏ ][(]36[3]42[3]49[)][=]
42.
[SHIFT][xσ
][=]
1.407885953
n–1
(Sample SD)
[SHIFT][xσ
]
Random number
[SHIFT][Rnd#][=]
0.792
n–1
generation (number is
(random)
[x
2
][=]
1.982142857
in the range of 0.000 to
(Sample variance)
0.
0.999)
D
3.22
D
– 24 –
– 28 –
Regression Calculation
Display
In the REG mode, calculations including linear regression,
Example
Operation
(Lower)
logarithmic regression, exponential regression, power
∏ (1–sin
2
40)
[MODE][MODE][1]
("DEG" selected)
regression, inverse regression and quadratic regression
= 0.766044443
[∏ ][(]1[2][(][sin]40[)][x
2
]
can be performed.
[)][=]
0.766044443
[SHIFT][cos
–1
][Ans][=]
40.
Press [MODE] [3] to enter the "REG" mode:
1/2!11/4!11/6!11/8!
2[SHIFT][x!][x
–1
][1]
= 0.543080357
4[SHIFT][x!][x
–1
][1]
C OM P SD R EG
1
2
3
6[SHIFT][x!][x
–1
][1]
8[SHIFT][x!][x
–1
][=]
0.543080357
and then select one of the following regression types:-
Fractions
L in L og E xp
Fractions are input and displayed in the order of integer,
1
2
3
Display
numerator and denominator. Values are automatically
(Lower)
displayed in decimal format whenever the total number of
Lin: linear regression
digits of a fractional value (interger + numerator +
Log: logarithmic regression
denominator + separator marks) exceeds 10.
Exp: exponential regression
Display
press [4] for the other three regression types:-
Example
Operation
(Lower)
P wr I nv Q ua d
0.5
2
1
13
b
b
/
5
13
/
4
= 3
/
20
2[a
/
c
]5[1]3[a
/
c
]1
1
2
3
[a
b
/
]4[=]
3
13
20.
c
b
[a
/
c
](conversion to decimal)
3.65
Pwr: power regression
Fractions can be converted
Inv: inverse regression
to decimals, and then
Quad: quadratic regression
converted back to fractions.
30.
456
11
b
b
Linear regression
3
/
78
= 8
/
13
3[a
/
c
]456[a
/
c
]78[=]
8
11
13.
[SHIFT][
d
/
c
]
115
13.
Linear regression calculations are carried out using the
1
/
1
1
/
1[a
b
/
]2578[1]1[a
b
/
]
following formula:
2578
4572
c
c
–04
= 0.00060662
4572[=]
6.066202547
y = A + Bx.
0.25
When the total number
of characters, including
Data input
integer, numerator,
Press [MODE] [3] [1] to specify linear regression under
36º32º18.4º
denominator and
the "REG" mode.
delimiter mark exceeds
Press [Shift] [Scl] [=] to clear the statistical memories.
10, the input fraction is
Input data in the following format: <x data> [,] <y data>
automatically displayed
[DT]
in decimal format.
• When multiples of the same data are input, two different
1
/
2
30.5 = 0.25
1[a
b
/
c
]2[3].5[=]
0.25
entry methods are possible:
1
4
5
1
b
b
/
3
3(–
/
5
)–
/
6
= –1
/
10
1[a
/
c
]3[3][(–)]4[a
/
c
]5
[2]5[a
b
c
/
]6[=]
–1
1
10.
Example 1 Data: 10/20, 20/30, 20/30, 40/50
1
1
1
1
b
b
Key operation: 10 [,] 20 [DT]
/
2
3
/
3
1
/
4
3
/
5
1[a
/
c
]2[3]1[a
/
c
]3[1]
13
b
b
=
/
60
1[a
/
c
]4[3]1[a
/
c
]5[=]
13
60.
20 [,] 30 [DT] [DT]
(
1
/
)/
=
1
/
[(]1[a
b
/
]2[)][a
b
/
]3[=]
1
6.
40 [,] 50 [DT]
2
3
6
c
c
1
1
1
5
b
b
/(
/
3
1
/
4
) = 1
/
7
1[a
/
c
][(]1[a
/
c
]3[1]
The previously entered data is entered again each time
1[a
b
/
]4[)][=]
1
5
7.
the [DT] key is pressed (in this case 20/30 is re-entered).
c
– 25 –
– 29 –
Degree, Radian, Gradient Interconversion
Example 2 Data: 10/20, 20/30, 20/30, 20/30, 20/30, 20/30,
Degree, radian and gradient can be converted to each
40/50
Display
other with the use of [SHIFT][DRG>]. Once [SHIFT]
Key operation: 10 [,] 20 [DT]
(Lower)
[DRG>] have been keyed in, the "DRG" selection menu
20 [,] 30 [SHIFT] [;] 5 [DT]
40 [,] 50 [DT]
will be shown as follows.
By pressing [SHIFT] and then entering a semicolon
D
R
G
followed by a value that represents the number of times
1
2
3
the data is repeated (5, in this case) and the [DT] key, the
multiple data entries (for 20/30, in this case) are made
0.22313016
Example
Operation
Display
automatically.
Define degree first
[MODE][MODE][1]
("DEG" selected)
Change 20 radian to
20[SHIFT][DRG>][2][=]
20
r
Deleting input data
degree
1145.91559
There are various ways to delete value data, depending on
To perform the following
10[SHIFT][DRG>][2]
how and where it was entered.
calculation :-
[1]25.5[SHIFT][DRG>][3]
10 radians+25.5 gradients
[=]
10
r
125.5
g
Example 1
10 [,] 40 [DT]
The answer is expressed
595.9077951
20 [,] 20 [DT]
in degree.
30 [,] 30 [DT]
40 [,] 50
To delete 40 [,] 50, press [AC/ON]
Degrees, Minutes, Seconds Calculations
You can perform sexagesimal calculations using degrees
Example 2
10 [,] 40 [DT]
(hours), minutes and seconds. And convert between
sexagesimal and decimal values.
20 [,] 20 [DT]
Display
30 [,] 30 [DT]
Example
Operation
Display
(Lower)
40 [,] 50 [DT]
To express 2.258 degrees
2.258[º' "][=]
2º15º28.8º
To delete 40 [,] 50 [DT], press [SHIFT][CL]
in deg/min/sec.
To perform the calculation:
12[º' "]34[º' "]56[º' "][3]
4.49980967
Example 3
12º34'56"33.45
3.45[=]
43º24º31.2º
To delete 20 [,] 20 [DT], press 20 [,] 20 [SHIFT][CL]
Example 4
[∏ ] 10 [,] 40 [DT]
90.0171313
[∏ ] 40 [,] 50 [DT]
To delete[∏ ]10[,]40[DT],
press [∏ ]10[=][Ans][,]40[SHIFT][CL]
81.
–81.
–21
10.
– 26 –
– 30 –
Statistical Calculations
Key Operations to recall regression calculation results
This unit can be used to make statistical calculations
Key operation
Result
including standard deviation in the "SD" mode, and
regression calculation in the "REG" mode.
[SHIFT][
A
][=]
Constant term of regression A
[SHIFT][
B
][=]
Regression coefficient B
Standard Deviation
[SHIFT][
C
][=]
Regression coefficient C
[SHIFT][
r
][=]
Correlation coefficient r
In the "SD" mode, calculations including 2 types of
Estimated value of x
standard deviation formulas, mean, number of data, sum
[SHIFT][x][=]
[SHIFT][y][=]
Estimated value of y
of data, and sum of square can be performed.
Population standard deviation, yσ
[SHIFT][yσ
n
]
n
Data input
[SHIFT][yσ
]
Sample standard deviation, yσ
n–1
n–1
[SHIFT][y]
Mean, y
1. Press [MODE] [2] to specify SD mode.
Display
2. Press [SHIFT] [Scl] [=] to clear the statistical memories.
[SHIFT][xσ
]
Population standard deviation, xσ
n
n
(Lower)
[SHIFT][xσ
]
Sample standard deviation, xσ
3. Input data, pressing [DT] key (= [M+]) each time a new
n–1
n–1
piece of data is entered.
[SHIFT][x]
Mean, x
[RCL][A]
Sum of square of data, ∑x
2
Sum of data, ∑x
Example Data: 10, 20, 30
[RCL][B]
[RCL][C]
Number of data,
n
Key operation: 10 [DT] 20 [DT] 30 [DT]
Sum of square of data, ∑y
• When multiples of the same data are input, two different
[RCL][D]
2
12.5(r)
[RCL][E]
Sum of data, ∑y
entry methods are possible.
Sum of data, ∑xy
Example 1 Data: 10, 20, 20, 30
[RCL][F]
Key operation: 10 [DT] 20 [DT] [DT] 30 [DT]
The previously entered data is entered again each time
Performing calculations
the DT is pressed without entering data (in this case 20
The following procedures are used to perform the various
is re-entered).
linear regression calculations.
Example 2
Data: 10, 20, 20, 20, 20, 20, 20, 30
–2.25(x)
Key operation: 10 [DT] 20 [SHIFT] [;] 6 [DT] 30 [DT]
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
By pressing [SHIFT] and then entering a semicolon
followed by value that represents the number of items the
calculated as shown below:
data is repeated (6, in this case) and the [DT] key, the
multiple data entries (for 20, in this case) are made
A = ( ∑y2∑x )/n
B = ( n∑xy2∑x∑y ) / ( n∑x
automatically.
2
2(∑x )
2
)
Display
r = ( n∑xy2∑x∑y ) / ∏ (( n∑x
2
2(∑x )
2
)( n∑y
2
2(∑y )
2
))
y = A + Bx
(Lower)
Deleting input data
There are various ways to delete value data, depending on
x = ( y2A) / B
5040.
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 [AC/ON].
Example 4 30 [DT] 50 [DT] 120 [SHIFT] [;] 31
To delete 120 [SHIFT] [;] 31, press [AC].
– 27 –
– 31 –
Deleting input data
Example
Operation
Display
To delete input data, follow the procedures described for
Temperature and length
[MODE][3][1]
0.
linear regression
of a steel bar
("REG" then select linear regression)
Temp
[SHIFT][Scl][=]
Length
0.
(Memory cleared)
Performing calculations
10ºC
10[,]1003[DT]
1003mm
10.
If 1/x is stored instead of x itself, the inverse regression
15ºC
15[,]1005[DT]
1005mm
15.
formula y = A + ( B/x ) becomes the linear regression
20ºC
20[,]1010[DT]
1010mm
20.
formula y = a + bx. Therefore, the formulas for constant
25ºC
25[,]1011[DT]
1011mm
25.
term A, regression coefficient B and correlation coefficient
30ºC
30[,]1014[DT]
1014mm
30.
r are identical the power and linear regression.
Using this table, the
[SHIFT][
A
][=]
(Constant term A)
997.4
A number of inverse regression calculation results differ
regression formula and
[SHIFT][
B
][=]
0.56
from those produced by linear regression. Note the
(Regression coefficient B)
correlation coefficient
following:
can be obtained. Based
[SHIFT][
r
][=]
0.982607368
(Correlation coefficient r)
on the coefficient
Linear regression Inverse regression
formula, the length of
18[SHIFT][y]
1007.48
(Length at 18ºC)
∑x
∑(1/x)
the steel bar at 18ºC
1000[SHIFT][x]
(Temp at 1000mm)
4.642857143
∑x
∑(1/x)
2
2
and the temperature
[SHIFT][
r
][x
2
][=]
0.965517241
∑xy
∑(y/x)
at 1000mm can be
(Critical coefficient)
estimated. Furthermore
[(][RCL][F][–][RCL][C][3]
Example
Operation
Display
the critical coefficient
[SHIFT][x][3][SHIFT][y][)][4]
xi
yi
[MODE][3][4][2]
0.
r
(
2
) and covariance can
[(][RCL][C][–]1[)][=]
35.
(Covariance)
("REG" then select Inv regression)
2
2
also be calculated.
3
[SHIFT][Scl][=]
3
0.
(Memory cleared)
4
4
2[,]2[DT]
2.
5
5
3[,]3[DT]
3.
Logarithmic regression
6
6
4[,]4[DT]
4.
Logarithmic regression calculations are carried out using
Through inverse
5[,]5[DT]
5.
the following formula:
regression of the above
y = A + B•lnx
data, the regression
6[,]6[DT]
6.
formula and correlation
[SHIFT][
A
][=]
7.272727272
Data input
(Constant term A)
coefficient are obtained.
[SHIFT][
B
][=]
–11.28526646
Press [MODE] [3] [2] to specify logarithmic regression
Furthermore, the
(Regression coefficient B)
0.
under "REG" mode.
regression formula is
[SHIFT][
r
][=]
–0.950169098
0.
Press [SHIFT] [Scl] [=] to clear the statistical memories.
used to obtain the
(Correlation coefficient r)
Input data in the following format: <x data>, <y data>
respective estimated
values of y and x, when
10[SHIFT][y]
(y when xi=10)
6.144200627
[DT]
xi = 10 and yi = 9.
9[SHIFT][x]
–6.533575316
52.
• To make multiple entries of the same data, follow
(x when yi=9)
procedures described for linear regression.
8.
427.
Deleting input data
To delete input data, follow the procedures described for
linear regression.
– 32 –
– 36 –
Performing calculations
Quadratic Regression
The logarithmic regression formula y = A + B•lnx. As x is
Quadratic regression calculations are carried out using the
input, In(x) will be stored instead of x itself. Hence, we can
following formula:
treat the logarithmic regression formula same as the
y = A + Bx + Cx
2
linear regression formula. Therefore, the formulas for
Data input
constant term A, regression coefficient B and correlation
Press [MODE] [3] [4] [3] to specify quadratic regression
coefficient r are identical for logarithmic and linear
under the "REG" mode.
regression.
Press [SHIFT] [CLR] [=] to clear the statistical memories.
Input data in this format: <x data>,<y data> [DT]
Example
Operation
Display
• To make multiple entries of the same data, follow
xi
[MODE][3][2]
yi
0.
procedures described for linear regression.
29
("REG" then select LOG regression)
1.6
Deleting input data
50
23.5
[SHIFT][Scl][=]
0.
(Memory cleared)
To delete input data, follow the procedures described for
74
38
29[,]1.6[DT]
29.
linear regression.
103
46.4
50[,]23.5[DT]
50.
118
48.9
74[,]38[DT]
74.
The logarithmic
Performing calculations
regression of the above
103[,]46.4[DT]
103.
The following procedures are used to perform the various
data, the regression
118[,]48.9[DT]
118.
linear regression calculations.
formula and correlation
[SHIFT][
A
][=]
(Constant term A)
–111.1283976
The regression formula is y = A + Bx + Cx
2
where A, B, C are
coefficient are obtained.
[SHIFT][
B
][=]
34.02014748
(Regression coefficient B)
regression coefficients.
Furthermore, respective
[SHIFT][
r
][=]
(Correlation coefficient r)
0.994013946
y2∑x
∑y )2(n∑x
∑x) (n∑xy
estimated values y and
C = [(n∑x
2
2(∑x)
2
) (n∑x
2
2
3
2∑x
2
80[SHIFT][y]
37.94879482
x can be obtained for
(y when xi=80)
2∑x∑y)]4[(n∑x
2
2(∑x)
2
) (n∑x
4
2(∑x
2
)
2
)2(n∑x
3
2∑x
2
∑x)
2
]
xi = 80 and yi = 73 using
73[SHIFT][x]
(x when yi=73)
224.1541314
3
2
∑x)]4(n∑x
2
2
B = [n∑xy2∑x∑y2C (n∑x
2∑x
2(∑x)
)
the regression formula.
A = (∑y2B∑x2C∑x
2
) / n
A number of logarithmic regression calculation results
To read the value of ∑x
, ∑x
or ∑x
differ from those produced by linear regression. Note the
3
4
2
y, you can recall
following:
memory [RCL] M, Y and X respectively.
Linear regression Logarithmic regression
Example
Operation
Display
∑x
∑Inx
xi
yi
[MODE][MODE][2][4][3]
∑x
2
∑(Inx)
2
29
1.6
("REG" then select Quad regression)
∑xy
∑y•Inx
50
23.5
[SHIFT][CLR][1][=]
0.
74
38
29[,]1.6[DT]
29.
103
46.4
Exponential regression
50[,]23.5[DT]
50.
118
48
Exponential regression calculations are carried out using
74[,]38[DT]
74.
Through power
the following formula:
regression of the above
103[,]46.4[DT]
103.
e
B•x
y = A•
(ln y = ln A +Bx)
data, the regression
118[,]48[DT]
118.
formula and correlation
Data input
[SHIFT][
A
][=]
(Constant term A)
–35.598569935
coefficient are obtained.
Press [MODE] [3] [3] to specify exponential regression
[SHIFT][
B
][=]
1.495939414
Furthermore, the
under the "REG" mode.
(Regression coefficient B)
regression formula is
Press [SHIFT] [Scl] [=] to clear the statistical memories.
[SHIFT][
C
][=]
–6.716296671
–03
used to obtain the
Input data in the following format: <x data>,<y data> [DT]
(Regression coefficient C)
respective estimated
• To make multiple entries of the same data, follow
values of y and x, when
16[SHIFT][y]
(y when xi=16)
–13.38291067
procedures described for linear regression.
xi = 16 and yi = 20.
20[SHIFT][x]
47.14556728
(x
when yi=20)
1
Deleting input data
[SHIFT][x]
when yi=20)
175.5872105
(x
2
To delete input data, follow the procedures described for
linear regression.
– 33 –
– 37 –
Performing calculations
Replacing the Battery
If we assume that lny = y and lnA = a', the exponential
Dim figures on the display of the calculator indicate that
regression formula y = A•
e
B•x
(ln y = ln A +Bx) becomes
battery power is low. Continued use of the calculator
the linear regression formula y =a' + bx if we store In(y)
when the battery is low can result in improper operation.
instead of y itself. Therefore, the formulas for constant
Replace the battery as soon as possible when display
term A, regression coefficient B and correlation coefficient
figures become dim.
r are identical for exponential and linear regression.
To replace the battery:-
• Remove the screws that hold the back cover in place and
A number of exponential regression calculation results
differ from those produced by linear regression. Note the
then remove the back cover,
• Remove the old battery,
following:
• Wipe off the side of the new battery with a dry, soft cloth.
Linear regression Exponential regression
Load it into the unit with the positive(+) side facing up.
∑y
∑Iny
• Replace the battery cover and secure it in place with the
∑y
2
∑(Iny)
2
screws.
∑xy
∑x•Iny
• Press [AC/ON] to turn power on.
Example
Operation
Display
Auto Power Off
xi
yi
[MODE][3][3]
0.
Calculator power automatically turns off if you do not
6.9
21.4
("REG" then select Exp regression)
perform any operation for about six minutes. When this
12.9
15.7
0.
[SHIFT][Scl][=]
(Memory cleared)
19.8
12.1
happens, press [AC/ON] to turn power back on.
6.9[,]21.4[DT]
6.9
26.7
8.5
12.9
35.1
5.2
12.9[,]15.7[DT]
Specifications
Through exponential
19.8[,]12.1[DT]
19.8
Power supply: single CR2025 battery
regression of the above
26.7
26.7[,]8.5[DT]
Operating temperature: 0º ~ 40ºC (32ºF ~ 104ºF)
data, the regression
35.1[,]5.2[DT]
35.1
formula and correlation
[SHIFT][
A
][=]
30.49758742
(Constant term A)
coefficient are obtained.
[SHIFT][
B
][=]
–0.049203708
Furthermore, the
(Regression coefficient B)
regression formula is
used to obtain the
[SHIFT][
r
][=]
–0.997247351
(Correlation coefficient r)
respective estimated
values of y and x, when
16[SHIFT][y]
(y when xi=16)
13.87915739
xi = 16 and yi = 20.
20[SHIFT][x]
8.574868045
(x when yi=20)
Power regression
Power regression calculations are carried out using the
following formula:
x
x
y = A•
B
(lny = lnA + Bln
)
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
– 34 –
– 38 –
Performing calculations
If we assume that lny = y, lnA =a' and ln
x
=
x
, the power
regression formula y = A•
x
x
B
(lny = lnA + Bln
) becomes
x
x
the linear regression formula y = a' + b
if we store In(
)
x
and y themselves. Therefore, the
and In(y) instead of
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
∑Inx
∑x
2
∑(Inx)
2
∑y
∑Iny
∑y
2
∑(Iny)
2
∑xy
∑Inx•Iny
Example
Operation
Display
xi
yi
[MODE][3][4][1]
0.
28
2410
("REG" then select Pwr regression)
30
3033
[SHIFT][Scl][=]
0.
(Memory cleared)
33
3895
28[,]2410[DT]
28.
3
4491
30[,]3033[DT]
30.
38
5717
33[,]3895[DT]
33.
Through power
regression of the above
35[,]4491[DT]
35.
data, the regression
38[,]5717[DT]
38.
formula and correlation
[SHIFT][
A
][=]
(Constant term A)
0.238801069
coefficient are obtained.
[SHIFT][
B
][=]
2.771866156
Furthermore, the
(Regression coefficient B)
regression formula is
[SHIFT][
r
][=]
0.998906255
used to obtain the
(Correlation coefficient r)
respective estimated
values of y and x, when
40[SHIFT][y]
6587.674587
(y when xi=40)
xi = 40 and yi = 1000.
1000[SHIFT][x]
(x when yi=1000)
20.26225681
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.
– 35 –
– 39 –
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