Casio FX-220 PLUS Manuel de l'utilisateur - Page 2

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Casio FX-220 PLUS Manuel de l'utilisateur
• 77 inputs the same data twice.
6 6
To calculate ln 90 (= log
e
90) to three significant digits (Sci 3)
• You can also input multiple entries of the same data using !,(;)
( !)(;) on the fx-82SX PLUS/220 PLUS).
N
2(Sci) 3
i 90 =
4.50×10
0
k
Data Input Precautions
1.2 × 10
7 7
3
= 1200
1.2 * 10 M 3 =
1200.
• While inputting data or after inputting data is complete, you can use
( 5 x)W=
15625.
(5
2
)
3
= 15625
the f and c keys to scroll through data you have input. If you
5
5 1M(
x
') 32 =
= 2
2.
input multiple entries of the same data using !,(;) ( !)(;) on
32
To calculate ' 2 × 3 (= 3 ' 2 = 4.242640687...) to three
the fx-82SX PLUS/220 PLUS) to specify the data frequency (number
of data items) as described above, scrolling through data shows
decimal places (Fix 3)
both the data item and a separate screen for the data frequency
N
1(Fix) 3
1 2 * 3 =
4.243
(Freq).
• Input the new value and then press the = key to replace the old
To convert rectangular coordinates (' 2 , ' 2 ) to polar
8 8
value with the new one. This also means that if you want to perform
v
coordinates
some other operation, you should always press the A key first to
fx-82MS/85MS/300MS/350MS:
exit data display.
r9 2 ,9 2 )=
r
2.
• Pressing the 7 key instead of = after changing a value on the
=
~t(F)
θ
45.
display registers the value you input as a new data item, and leaves
=
the old value as it is.
• Press ~c(E) to display the value of
r
, or ~t(F) to
• You can delete a data value displayed using f and c by pressing
display the value of θ .
!l(CL). Deleting a data value causes all values following it to
fx-82SX PLUS/220 PLUS:
be shifted up.
r9 2 ((,) 9 2 )=
r
2.
=
• The message "Data Full" appears and you will not be able to input
!q(
y
, θ ) =
θ
45.
any more data if there is no memory left for data storage. If this
=
happens, press the = key to display the screen shown below.
• Press ! r (
x
r
) = to display the value of
r
,
, or
Press c to exit data input without registering
!q(
, θ ) = to display the value of θ .
y
the value you just input.
To convert polar coordinates (' 2 , 45°) to rectangular
Press b if you want to register the value
v
coordinates
you just input. If you do this, however, you will not be able to display
or edit any of the data you have input.
fx-82MS/85MS/300MS/350MS:
!r(Rec( ) 9 2 , 45 =
x
• After inputting statistical data in the SD Mode or REG Mode, you
=
1.
will be unable to display or edit individual data items any longer
~t(F)
y
=
1.
after perform either the following operations: changing to another
• Press ~c(E) to display the value of
x
, or ~t(F) to
mode; changing the regression type.
display the value of
y
.
• Entering the REG Mode and selecting a regression type (Lin, Log,
Exp, Pwr, Inv, Quad) clear variables A through F, X, and Y.
fx-82SX PLUS/220 PLUS: q9 2 ((,) 45 =
x
1.
=
• Do not use variables A through F, X, or Y to store data when
!q(
y
, θ ) =
y
=
1.
performing statistical calculations.
• Press ! r (
x
r
) = to display the value of
x
,
, or
k
Obtaining Statistical Values from Input Data
!q(
y
, θ ) = to display the value of
y
.
Supported statistical variables and the keys you should press to recall
them are shown below.
( 5 + 3 )1E(
x
!) =
40320.
9 9
(5 + 3) ! = 40320
fx-82SX PLUS/220 PLUS:
Sum: Σ
10
10
To obtain a random three-digit integer
Deviation: σ
1000 1.(Ran#)=
459.
!e to j
(Actual results will differ.)
fx-82MS/85MS/300MS/350MS:
For single-variable statistical calculations, the variables marked with
11
11
To generate a random integer in the range of 1 to 6
an asterisk (*) are available.
(fx-82SX PLUS/220 PLUS only)
Sum: Σ
12(RanInt) 1 1((,) 6 )=
2.
Σ
x
, Σ
2
Σ
y
2
, Σ
(Actual results will differ.)
Σ
, Σ
x
3
12
12
To determine the number of permutations and combinations
Mean: o*, p, Population Standard Deviation: σ
possible when selecting four people from a group of 10
Standard Deviation: s
10 1{( n P r ) 4 =
5040.
Permutations:
o, σ
10 {4 =
210.
Combinations:
p, σ
Regression Coefficients: A, B, Correlation Coefficient:
13
13
To perform the following calculations when Fix 3 is selected
Regression Coefficients for Quadratic Regression: A, B, C
for the number of display digits: 10 ÷ 3 × 3 and Rnd(10 ÷ 3)
!c(S-VAR) ee b to d
× 3
Estimated Values: m, n
N
1(Fix) 3
10 / 3 * 3 =
10.000
Estimated Values for Quadratic Regression: m
!c(S-VAR) eee b to c (or d)
10 / 3 =10(Rnd) * 3 =
9.999
m
•
,
that take an argument immediately before them. See "Calculating
Estimated Values" for more information.
15. Statistical Calculations (SD, REG*)
*fx-82MS/85MS/300MS/350MS only
1 1
To select this type of statistical
Perform this key
calculation: (Regression formula
operation:
shown in parentheses)
,2(SD)
Single-variable (X)
Paired-variable (X, Y), linear
,3(REG) 1(Lin)
y
x
regression
(
= A + B
)
Paired-variable (X, Y), logarithmic
,3(REG) 2(Log)
y
x
regression
(
= A + Bln
)
Paired-variable (X, Y),
e
,3(REG) 3(Exp)
y
e
x
exponential regression
(
= A
B
)
2 fx-82MS/85MS/300MS/350MS: To calculate the linear
Paired-variable (X, Y), power
,3(REG) e1(Pwr)
regression
(
y
= A
x
B
)
Paired-variable (X, Y), inverse
,3(REG) e2(Inv)
y
x
regression
(
= A + B/
)
Paired-variable (X, Y), quadratic
,3(REG) e3(Quad)
y
x
x
regression
(
= A + B
+ C
2
)
k
Inputting Data
• In the SD Mode and REG Mode, the l key operates as the 7
key.
• Always start data input with ! , (CLR) b (Scl) =
( rb(Scl) = on the fx-82SX PLUS/220 PLUS) to clear statistical
memory.
• Input data using the key sequence shown below.
x
-data> 7
SD Mode: <
-data> , <
-data> 7
REG Mode: <
x
y
LY700-4E_140421.indd 2
LY700-4E_140421.indd 2
,3(REG) 2(Log)
20 , 3150 7 110 , 7310 7 200 , 8800 7 290 ,
9310 7
Logarithmic Regression Formula:
y
= –3857.984 + 2357.532ln
k
Calculating Estimated Values
Based on the regression formula obtained by paired-variable
statistical calculation, the estimated value of
a given
x
-value. The corresponding
the case of quadratic regression) also can be calculated for a value
y
of
in the regression formula.
To determine the estimate value for
3 3
regression formula produced by logarithmic regression of
the data in
following operation after completing the operations in
Important: Regression coefficient, correlation coefficient, and
estimated value calculations can take considerable time when there
are a large number of data items.
16. Calculation Ranges, Number of
Digits, and Precision
k
Calculation Range and Precision
Calculation Range: ±1 × 10
Number of Digits for Internal Calculation: 15 digits
Precision: In general, ±1 at the 10th digit for a single calculation.
Precision for exponential display is ±1 at the least significant digit.
Errors are cumulative in the case of consecutive calculations.
k
Function Calculation Input Ranges and Precision
Functions
, Σ
x
x
2
x
, Number of Items:
n
, Mean: o, Population Standard
sin
x
cos
, Sample Standard Deviation: s
x
x
x
tan
x
*, Σ
x
*, Σ
y
, Σ
y
, Σ
xy
, Σ
x
, Σ
x
y
, Σ
x
n
2
2
3
2
4
, Number of Items:
*
x
n
........... !b(S-SUM) b to d
,
y
, Σ
xy
........ !b(S-SUM) e b to d
x
, Σ
..... !b(S-SUM) ee b to d(Quadratic
sin
–1
x
2
y
x
4
x
cos
–1
Regression only)
*, σ
, Sample
x
y
–1
x
tan
*, s
x
y
.............. !c(S-VAR) b to d
sinh
x
, s
x
x
x
............... !c(S-VAR) e b to d
cosh
, s
y
y
r
x
sinh
–1
–1
x
cosh
tanh
x
, m
, n
1
2
x
tanh
–1
m
m
n
x
,
and
are not variables. They are commands of the type
log
/ln
1
2
x
10
x
e
To calculate the mean ( o) and population standard
deviation ( σ
'
x
) for the following data: 55, 54, 51, 55, 53, 53,
x
54, 52
x
2
,c(SD)
x
–1
55 7 54 7 51 7 55 7 53 77 54 7 52 7
3
'
x
!h( o) =
fx-82SX PLUS/220 PLUS:
53.375
!i( σ
) =
1.316956719
x
!
x
fx-82MS/85MS/300MS/350MS:
n P r
!c(S-VAR) b( o)
53.375
!c(S-VAR) c( σ
)
1.316956719
x
n C r
regression and logarithmic regression correlation
x
y
Pol(
,
r
coefficients (
) for the following paired-variable data
and determine the regression formula for the strongest
r
correlation: (
x
,
y
) = (20, 3150), (110, 7310), (200, 8800),
Rec(
, θ )
(290, 9310). Specify Fix 3 (three decimal places) for results.
,3(REG) 1(Lin) ,
1(Fix) 3
°' "
20 , 3150 7 110 , 7310 7 200 , 8800 7 290 ,
9310 7
!2(S-VAR) ee3(r) =
0.923
x
x
x
y
x
!2(S-VAR) ee3(r) =
0.998
However: –1 × 10
!2(S-VAR) ee1(A) =
−3857.984
y
!2(S-VAR) ee2(B) =
2357.532
y
'
x
y
y
x
However: –1 × 10
Total of integer, numerator, and denominator must
b
a
/
c
be 10 digits or less (including division marks).
y
a
can be calculated for
a
b
RanInt#(
,
)
x
-value (two values,
x
and
x
, in
integers)
1
2
• Precision is basically the same as that described under "Calculation
Range and Precision", above.
• Calculations that use any of the functions or settings shown below
y
x
when
= 160 in the
require consecutive internal calculations to be performed, which can
cause accumulation of error that occurs with each calculation.
. Specify Fix 3 for the result. (Perform the
2
y
x
3
',
x
'
y
x
!, n P r , n C r ; °,
,
,
.)
2
coefficient.
160 12(S-VAR) eee2( n) =
8106.898
• Error is cumulative and tends to be large in the vicinity of a function's
singular point and inflection point.
• Accumulation of errors tends to occur during statistical calculations
involving data in which there is a large number of decimal places
and there is little difference between data items. Input of statistical
data is limited to six decimal places.
17. Error Messages
The calculator will display an error message whenever an error occurs
for any reason during a calculation.
to 9.999999999 × 10
–99
99
or 0
• Press d or e to return to the calculation screen. The cursor will
be positioned at the location where the error occurred, ready for
input. Make the necessary corrections to the calculation and execute
it again. (Not included on the fx-82SX PLUS)
• Press A to return to the calculation screen. Note that this also
clears the calculation that contained the error.
Math ERROR
Input Range
Cause: • The intermediate or final result of the calculation you
|
|
9 × 10
DEG 0
x
9
are performing exceeds the allowable calculation range. • Your
input exceeds the allowable input range. • The calculation you are
|
|
RAD 0
x
157079632.7
performing contains an illegal mathematical operation (such as
|
x
|
1 × 10
GRA 0
10
division by zero).
Action: • Check the input values and reduce the number of digits.
x
, except when |
x
| = (2
n
–1) × 90.
DEG Same as sin
• When using independent memory or a variable as the argument of
, except when |
| = (2
–1) × π /2.
RAD Same as sin
x
x
n
a function, make sure that the memory or variable value is within the
allowable range for the function.
, except when |
| = (2
–1) ×
Same as sin
x
x
n
GRA
Stack ERROR
100.
Cause: The calculation you are performing has caused the capacity
|
x
|
of the numeric stack or the command stack to be exceeded.
0
1
Action: • Simplify the calculation expression. • Try splitting the
calculation into two or more parts.
|
x
|
9.999999999 × 10
99
0
Syntax ERROR
|
x
|
0
230.2585092
Cause: There is a problem with the format of the calculation you
are performing.
|
x
|
4.999999999 × 10
0
99
Action: Make necessary corrections.
4.999999999 × 10
x
99
1
Arg ERROR
|
|
9.999999999 × 10
Cause: Improper use of an argument.
0
x
99
Action: Make necessary corrections.
|
x
|
9.999999999 × 10
0
–1
x
x
9.999999999 × 10
0
99
18. Before Assuming Malfunction of the
–9.999999999 × 10
99
x
99.99999999
Calculator...
–9.999999999 × 10
x
99
230.2585092
Perform the following steps whenever an error occurs during a
1 × 10
calculation or when calculation results are not what you expected.
0
x
100
Note that you should make separate copies of important data before
|
x
|
1 × 10
50
performing these steps.
|
x
|
1 × 10
x
G 0
1. Check the calculation expression to make sure that it does not
100
;
contain any errors.
|
x
|
1 × 10
100
2. Make sure that you are using the correct mode for the type of
calculation you are trying to perform.
0
x
69 (
x
is an integer)
3. If the above steps do not correct your problem, press the O
n
1 × 10
r
n
n
r
0
10
, 0
(
,
are integers)
key.
n
n
r
1 × 10
1
{
!/(
–
)!}
100
4. Initialize all modes and settings. See "Initializing Calculator
n
1 × 10
r
n
n
r
0
10
, 0
(
,
are integers)
Settings".
n
r
1 × 10
n
n
r
1 × 10
1
!/
!
100
or 1
!/(
–
)!
100
19. Replacing the Battery
|
x
| , |
y
|
9.999999999 × 10
99
)
9.999999999 × 10
x
y
99
2
+
2
Important: Removing the battery will cause all of the calculator's
memory contents to be deleted.
r
9.999999999 × 10
0
99
1. Press 1A(OFF) to turn off the calculator.
x
θ : Same as sin
• To ensure that you do not accidentally turn on power while
|
a
| ,
b
c
1 × 10
b
c
,
100
; 0
,
replacing the battery, slide the hard case onto the front of the
The display seconds value is subject to an error of
calculator (fx-350MS).
±1 at the second decimal place.
|
x
|
1 × 10
100
Decimal ↔ Sexagesimal Conversions
|
x
|
0°0´0˝
9999999°59´
2. Remove the cover as shown in the illustration and replace the
0: –1 × 10
100
y
log
x
100
battery, taking care that its plus (+) and minus (–) ends are facing
= 0:
y
0
correctly.
1
y
n
n
0:
=
,
(
is an integer)
2
n
+1
y
log |
x
|
100
100
Screw
Screw
x
G 0, –1 × 10
x
y
0:
100
1/
log
100
x
= 0:
0
1
x
n
n
G 0;
n
0:
= 2
+1,
(
is an integer)
n
log |
|
100
x
y
1/
100
; |
| , |
|
b
a
b
1 × 10
b
a
1 × 10
a
b
10
;
–
10
(
,
are
fx-82MS/82SX PLUS/
220 PLUS
3. Replace the cover.
4. Initialize the calculator. See "3. Initializing the Calculator".
(angle unit: radians); σ
r
g
,
x
, s
x
, regression
• Do not skip the above step!
20. Specifications
Power Requirements:
fx-82MS/82SX PLUS/220 PLUS: AA-size battery R6P (SUM-3) × 1
fx-350MS: Button battery LR44 (GPA76) × 1
fx-85MS/300MS: Built-in solar cell; button battery LR44 (GPA76)
× 1
Approximate Battery Life:
fx-82MS/82SX PLUS/220 PLUS: 17,000 hours (continuous display
of flashing cursor)
fx-350MS: 9,000 hours (continuous operation)
fx-85MS/300MS: 3 years (based on one hour of operation per day)
Power Consumption:
0.0001 W (fx-82MS/82SX PLUS/220 PLUS/350MS)
Operating Temperature: 0°C to 40°C (32°F to 104°F)
Dimensions (H × W × D)/ Approximate Weight (including the battery)
fx-82MS
fx-82SX PLUS
fx-220 PLUS
fx-85MS
fx-300MS
fx-350MS
This mark applies in EU countries only.
Screw
Screw
Screw
fx-350MS
fx-85MS/300MS
18.6 × 85 × 156 mm
115 g
3
× 3
3
× 6
1
/
/
/
(4.1 oz)
4
8
8
19.5 × 78 × 155 mm
115 g
× 3
× 6
3
/
1
/
1
/
(4.1 oz)
4
8
8
12.2 × 85 × 155 mm
100 g
× 3
× 6
1
3
1
(3.5 oz)
/
/
/
2
8
8
Manufacturer:
CASIO COMPUTER CO., LTD.
6-2, Hon-machi 1-chome
Shibuya-ku, Tokyo 151-8543, Japan
Responsible within the European Union:
CASIO EUROPE GmbH
Casio-Platz 1
22848 Norderstedt, Germany
RJA530690-001V01
14.4.21 2:56:19 PM
14.4.21 2:56:19 PM