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Statistical Calculations and Variables
The following statistics can be obtained for each statistical
calculation (refer to the table below):
Single-variable statistical calculation
Statistics of
and
.
1
3
Linear regression calculation
Statistics of
,
and
. In addition, the estimate of
1
2
4
y
x
(estimate
´) and the estimate of
Quadratic regression calculation
Statistics of
,
and
. And coefficients
1
2
4
y
a
bx
cx
regression formula (
=
+
+
calculations, no correlation coefficient (
x
When there are two
´ values, each value will be displayed with "1:"
18
or "2:", and stored separately in the X and Y memories.
x
You can also specify the 1st value (
1') and the 2nd value (
Euler exponential regression, logarithmic regression,
power regression, inverse regression,
and general exponential regression calculations
Statistics of
,
and
. In addition, the estimate of
1
2
4
x
x
given
and the estimate of
for a given
19
converts each formula into a linear regression formula before actual
calculation takes place, it obtains all statistics, except coefficients
b
and
, from converted data rather than entered data.)
n
Number of samples
x –
Mean of samples (
sx
Sample standard deviation (
s
x
Sample variance (
2
sx
Population standard deviation (
1
s
x
Population variance (
2
Σx
Sum of samples (
Σx
Sum of squares of samples (
2
xmin
Minimum value of samples (
xmax
Maximum value of samples (
–
y
Mean of samples (
sy
Sample standard deviation (
s
Sample variance (
2
y
sy
Population standard deviation (
s
y
Population variance (
2
Σy
Sum of samples (
Σy
Sum of squares of samples (
2
2
Σx y
Sum of products of samples (
Σx
y
Sum of products of samples (
2
Σx
Sum of 3rd powers of samples (
3
Σx
Sum of 4th powers of samples (
4
ymin
Minimum value of samples (
ymax
Maximum value of samples (
Q
First quartile of sample (
1
Med
Median of sample (
3
Q
Third quartile of sample (
3
r
Correlation coefficient (Except Quadratic regression)
a
Coefficient of regression equation
b
Coefficient of regression equation
x
4
c
Coefficient of quadratic regression equation
R
2
Coefficient of determination (Quadratic regression)
r
2
Coefficient of determination (Except Quadratic regression)
STAT Menu
After closing the input table, you can view statistical values, view
regression coefficient values, and specify statistical variables from
STAT menu (; 8).
; 8 0: Display statistical values
; 8 1: Display regression coefficient values
; 8 2: Specify statistical value variables
; 8 3: Specify statistical value (
; 8 4: Specify max/min value variables
; 8 5: Specify regression coefficient variables
Notes:
• List display of regression coefficient values and specification of
regression coefficient variables do not appear in single-variable
statistical calculation.
x
y
• Estimated values
' and
' are specified with the keys (@ V,
x
@ U). If there are two
' values, you can specify
x
2' from the STAT menu (
8 5) to obtain the values
;
separately.
• In the statistical value and regression coefficient value lists, you
cannot return to the menu by pressing N.
.
Statistical Calculation Formulas
An error will occur when:
• The absolute value of the intermediate result or calculation result
×
is equal to or greater than 1
10
• The denominator is zero.
• An attempt is made to take the square root of a negative number.
• No solution exists in the quadratic regression calculation.
TABLE MODE
You can see the changes in values of one or two functions using
TABLE mode.
Setting a table
1. Press b 2 to enter TABLE mode.
2. Enter a function (Function1), and press e.
y
x
for a given
3. If needed, enter the 2nd function (Function2) and press e.
y
x
for a given
(estimate
´).
4. Enter a starting value (X_Start:), and press e.
The default starting value is 0.
5. Enter a step value (X_Step:). The default step value is 1.
a
b
c
,
,
in the quadratic
• You can use u and d to move the cursor between the
2
). (For quadratic regression
starting value and step value.
r
) can be obtained.)
6. Press e when you finish entering a step value. A table with a
variable X and the corresponding values (ANS column) appears,
displaying 3 lines below the starting value.
x
2') separately.
If you entered two functions, the ANS1 and ANS2 columns appear.
You can use u and d to change the X value and see its
corresponding values in table format.
• The table is for display only and you cannot edit the table.
• The values are displayed up to 7 digits, including signs and a
y
decimal point.
for a
y
• Press l or r to move the cursor to ANS column (ANS1
. (Since the calculator
and ANS2 columns if you entered two functions) or X column.
a
• Full digits of the value on the cursor are displayed on the bottom
right.
Notes:
• In a function, only "X" can be used as a variable, and other
x
variables are all regarded as numbers (stored into the variables).
data)
• Irrational numbers such as
x
data)
starting value or a step value. You cannot enter 0 or a negative
x
data)
number as a step value.
• You can use WriteView editor when inputting a function.
x
data)
• The following features are not used in TABLE mode: coordinate
x
data)
conversions, conversion between decimal and sexagesimal
x
numbers, and angular unit conversions.
data)
• It may take time to make a table, or "-------" may be displayed,
x
data)
depending on the function entered or conditions specified for the
x
variable X.
data)
• Please note that when making a table, the values for variable X
x
data)
are rewritten.
y
• Press @ Z or mode selection to return to the initial screen
data)
of the mode, and return to the default values for the starting value
y
data)
and step value.
y
data)
DRILL MODE
y
data)
y
data)
Math Drill: b 3 0
y
data)
Math operation questions with positive integers and 0 are displayed
y
randomly. It is possible to select the number of questions and
data)
operator type.
,
x
y
)
,
x
y
Multiplication Table (
2
)
Questions from each row of the multiplication table (1 to 12) are
x
data)
displayed serially or randomly.
x
data)
To exit DRILL mode, press b and select another mode.
y
data)
Using Math Drill and × Table
y
data)
1. Press b 3 0 for Math Drill or b 3 1 for
x
data)
2. Math Drill: Use u and d to select the number of
x
questions (25, 50, or 100).
data)
× Table: Use u and d to select a row in the multiplication
x
data)
table (1 to 12).
3. Math Drill: Use l and r to select the operator type for
questions (
× Table: Use l and r to select the order type ("Serial" or
"Random").
4. Press e to start.
When using Math Drill or
are randomly selected and will not repeat except by chance.
5. Enter your answer. Press j or N to clear the entered
number and then enter the correct answer.
6. Press e.
• If the answer is correct, "
• If the answer is wrong, "
displayed. This will be regarded as an incorrect answer.
• If you press e without entering an answer, the correct
answer is displayed and then the next question is displayed.
This will be regarded as an incorrect answer.
7. Continue answering the series of questions by entering the
Σ
related) variables
answer and pressing e.
8. After you finish, press e and the number and percentage of
correct answers are displayed.
9. Press e to return to the initial screen for your current drill.
Ranges of Math Drill Questions
The range of questions for each operator type is as follows.
+
]
x
1' and
>
)
22
+]>)
.
100
p
and
can also be entered into a
r
×
Table): b 3 1
+
−
×
÷
+−×÷
,
,
,
, or
).
×
Table (random order only), questions
" appears and the next question is displayed.
"appears and the same question is
+
+
Addition operator: "0
0" to "20
20"
−
−
Subtraction operator: "0
0" to "20
20"; answers are
positive integers and 0.
×
×
Multiplication operator: "1
1" to "12 × 12"
0" or "0
÷
÷
Division operator: "0
1" to "144
12"; answers are
positive integers from 1 to 12 and 0, dividends of up to
144, and divisors of up to 12.
Mixed operators: Questions within all the above ranges
are displayed.
3/6
ERRORS AND CALCULATION RANGES
23
Errors
An error will occur if an operation exceeds the calculation ranges,
or if a mathematically illegal operation is attempted. When an error
occurs, pressing l or r automatically moves the cursor
back to the place in the equation where the error occurred. Edit the
equation or press j to clear the equation.
Error codes and error types
ERROR 01: Syntax error
• An attempt was made to perform an invalid operation.
Ex. 2 + & 5 =
ERROR 02: Calculation error
• The absolute value of an intermediate or final calculation result
equals or exceeds 10
.
100
• An attempt was made to divide by zero (or an intermediate
calculation resulted in zero).
• The calculation ranges were exceeded while performing calculations.
• 0 or a negative number was entered as a step value in TABLE
mode. The absolute value of a starting value or a step value
equals or exceeds 10
100
in TABLE mode.
• When the number to be factored into primes is greater than 2 and
other than a 10-digit positive integer, or when the result of prime
factorization is a negative number, decimal, fraction, r
ERROR 03: Nesting error
• The available number of buffers was exceeded. (There are 10 buffers
for numeric values and 64 buffers for calculation instructions).
ERROR 04: Data over
• Data items exceeded 100 in STAT mode.
Alert Messages
Cannot delete!
• The selected item cannot be deleted by pressing N or @
y in the WriteView editor.
Ex. * 5 r A l N
In this example, delete the exponent before attempting to delete
the parentheses.
Cannot call!
• The function or operation stored in definable memory (D1 to D3)
cannot be called.
Ex. An attempt was made to recall a statistical variable from
within NORMAL mode.
Buffer full!
• The equation (including any calculation ending instructions)
exceeded its maximum input buffer (159 characters in the
WriteView editor or 161 characters in the Line editor). An
equation may not exceed its maximum input buffer.
Calculation Ranges
• Within the ranges specified, this calculator is accurate to
of the 10th digit of the mantissa. However, a calculation error
increases in continuous calculations due to accumulation of
each calculation error. (This is the same for
×
etc., where continuous calculations are performed internally.)
Table.
Additionally, a calculation error will accumulate and become larger
in the vicinity of inflection points and singular points of functions.
• Calculation ranges
±
±
×
−
10
to
9.999999999
99
If the absolute value of an entry or a final or intermediate result
of a calculation is less than 10
in calculations and in the display.
Display of results using r (when EXACT is selected)
Calculation results may be displayed using r when all of the
following conditions are met:
• When intermediate and final calculation results are displayed in
the following form:
a P b
c P d
±
±
e
f
• When each coefficient falls into the following ranges:
≤
<
<
<
1
a
100; 1
b
1,000; 0
≤
<
≤
<
1
d
1,000; 1
e
100; 1
• When the number of terms in the intermediate and final
calculation results is one or two.
Note: The result of two fractional terms that include r will be
reduced to a common denominator.
BATTERY REPLACEMENT
Notes on Battery Replacement
Improper handling of batteries can cause electrolyte leakage or
explosion. Be sure to observe the following handling rules:
• Make sure the new battery is the correct type.
• When installing, orient the battery properly as indicated in the calculator.
• The battery is factory-installed before shipment, and may
be exhausted before it reaches the service life stated in the
specifications.
Notes on erasure of memory contents
When the battery is replaced, the memory contents are
erased. Erasure can also occur if the calculator is defective
or when it is repaired. Make a note of all important memory
contents in case accidental erasure occurs.
When to Replace the Battery
If the display has poor contrast or nothing appears on the display
when j is pressed in dim lighting, even after adjusting the
display contrast, it is time to replace the battery.
Caut
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• Sho
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• Do n
• Kee
• An e
• Exp
• Do n
Repl
1. Turn
2. Rem
3. Lift
4. Rem
5. Inst
6. Rep
7. Pres
8. Adju
,
π
or
.
• Mak
Auto
This c
presse
SPE
Displa
Displa
Intern
24
±
Pendin
1
Power
y
x , x
x
r
, n!, e
, ln,
Opera
(varies
use an
Opera
10
and 0.
99
Extern
−
99
, the value is considered to be 0
Weigh
≤
<
c
100;
≤
<
f
100
resu
wate
skin
the
dam
or o
ball-
con
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