Statistical Calculations; Drill Mode; Errors And Calculation Ranges - Sharp WriteView EL-W531 Operation Manual

Binary, Pental, Octal, Decimal, and Hexadecimal
Operations (N-base)
Conversions can be performed between N-base numbers
in NORMAL mode. The four basic arithmetic operations,
calculations with parentheses, and memory calculations can
also be performed, along with the logical operations AND,
OR, NOT, NEG, XOR, and XNOR on binary, pental, octal, and
hexadecimal numbers.
Conversion to each system is performed with the following keys:
@ z ("BIN" appears), @ r ("PEN" appears),
@ g ("OCT" appears), @ h ("HEX" appears),
@ / ("BIN", "PEN", "OCT", and "HEX" disappear)
Note: The hexadecimal numbers A–F are entered by pressing
A B C D E
m , * , A , l , i , and H
In the binary, pental, octal, and hexadecimal systems,
fractional parts cannot be entered. When a decimal number
having a fractional part is converted into a binary, pental,
octal, or hexadecimal number, the fractional part will be
truncated. Likewise, when the result of a binary, pental, octal,
or hexadecimal calculation includes a fractional part, the
fractional part will be truncated. In the binary, pental, octal,
and hexadecimal systems, negative numbers are displayed as
a complement.
Time, Decimal, and Sexagesimal Calculations
Conversion between decimal and sexagesimal numbers can be
performed. In addition, the four basic arithmetic operations and
memory calculations can be performed using the sexagesimal
system. Notation for sexagesimal is as follows:
Degree
Minute
Coordinate Conversions
• Before performing a calculation, select the angular unit.
• The calculation result is automatically stored in the X and Y
θ
r x
memories ( or in X memory, and
• The results of coordinate conversions will be displayed as
decimal numbers even in the WriteView editor.
Rectangular coord. Polar coord.
Modify Function
Decimal calculation results are internally obtained in scientifi c
notation, with up to 14 digits in the mantissa. However, since
calculation results are displayed in the form designated by the
display notation and the number of decimal places indicated,
the internal calculation result may differ from that shown in the
display. By using the modify function (@ n), the internal
value is converted to match that of the display, so that the
displayed value can be used without change in subsequent
operations.
• When using the WriteView editor, if the calculation result is
displayed using fractions or irrational numbers, press U
to convert it to decimal form fi rst.

STATISTICAL CALCULATIONS

Statistical calculations can be performed in STAT mode.
There are eight sub-modes within STAT mode. Press b
1, then press the number key that corresponds to your
choice:
0 (S#a# 0 [SD]): Single-variable statistics
1 (S#a# 1 [LINE]): Linear regression
2 (S#a# 2 [QUAD]): Quadratic regression
3 (S#a# 3 [E_EXP]): Euler exponential regression
4 (S#a# 4 [LOG]): Logarithmic regression
5 (S#a# 5 [POWER]): Power regression
6 (S#a# 6 [INV]): Inverse regression
7 (S#a# 7 [G_EXP]): General exponential regression
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 ①.
Linear regression calculation
Statistics of ① and ②. In addition, the estimate of
x y
given (estimate ´) and the estimate of
x
(estimate ´).
Quadratic regression calculation
Statistics of ① and ②, and coeffi cients
y = + b +
a x cx
regression formula ( 2 ). (For quadratic
regression calculations, no correlation coeffi cient (
x
obtained.) When there are two ´ values, each value will be
displayed with "1:" or "2:", and stored separately in the X and
Y memories.
Euler exponential regression, logarithmic regression,
power regression, inverse regression, and general
exponential regression calculations
Statistics of ① and ②. In addition, the estimate of
x x
and the estimate of for a given y . (Since the calculator
converts each formula into a linear regression formula before
actual calculation takes place, it obtains all statistics, except
a b
coeffi cients and , from converted data rather than entered
data.)
x –
11
sx
σ
x
①
n
Σ
x
Σ
x
–
y
s
y
F
.
σy
Σy
Σy
②
Σ
x
r
a
b
12
c
• Use ; and t to perform a variable calculation in STAT
mode.
• U does not function in STAT mode.
Data Entry and Correction
Second
Before entering new data, clear the memory contents.
13
Data entry
Single-variable data
Data _
y
or in Y memory). Data H frequency _ (To enter multiples of the same
data)
Two-variable data
x H data
Data
x H data
Data
of the same data
Note: Up to 100 data items can be entered. With the single-
variable data, a data item without frequency assignment
is counted as one data item, while an item assigned with
frequency is stored as a set of two data items. With the
14
two-variable data, a set of data items without frequency
assignment is counted as two data items, while a set of
items assigned with frequency is stored as a set of three
data items.
Data correction
Correction before pressing _ immediately after a data entry:
Delete incorrect data with j, then enter the correct data.
Correction after pressing _:
Use u and d to display the previously entered data set.
Press d to display the data set in ascending (oldest fi rst)
order. To reverse the display order to descending (latest fi rst),
press the u key. Press @ u or @ d to jump
the cursor to the beginning or end of the data set.
Each data set is displayed with "X:", "Y:", or "F:".
Display and move the cursor to the data item to be modifi ed
by using u and d, input the correct value, then press
_ or e.
• To delete a data set, display and move the cursor to an item
15
of the data set to delete by using u and d, then press
@ #. The data set will be deleted.
• To add a new data set, press j to exit the display of
previously entered data and input the values, then press _.
Statistical Calculation Formulas
y
Type
for a
x y
for a given
Linear
Quadratic
a b c
, , in the quadratic
Euler exponential
r
) can be
Logarithmic
Power
Inverse
General exponential
An error will occur when:
y for a given
• The absolute value of the intermediate result or calculation
result is equal to or greater than 1
• 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.
x
Mean of samples ( data)
x
Sample standard deviation ( data)
x
Population standard deviation ( data)
Number of samples
x
Sum of samples ( data)
x
2 Sum of squares of samples ( data)
y
Mean of samples ( data)
y
Sample standard deviation ( data)
Population standard deviation ( y data)
y
Sum of samples ( data)
y
2 Sum of squares of samples ( data)
y x y
Sum of products of samples ( , )
Correlation coeffi cient
Coeffi cient of regression equation
Coeffi cient of regression equation
Coeffi cient of quadratic regression equation
y _
y H frequency _ (To enter multiples
x y
and )
Data set number
x
Data
Frequency
Data set number
x
Data
y
Data
Frequency
Regression formula
= + bx
y a
= + bx +
y a cx
2
= ⋅
y a e x
b
= + b ⋅
y a x
ln
= ⋅
y a x b
1
= + b ⎯
y a
x
= ⋅ b
y a x
×
10 100 .

DRILL MODE

Math Drill: b 2 0
Math operation questions with positive integers and 0 are
displayed randomly. It is possible to select the number of
questions and operator type.
×
Table): b 2 1
Multiplication Table (
Questions from each row of the multiplication table (1 to 12) are
displayed serially or randomly.
To exit DRILL mode, press b and select another mode.
×
Using Math Drill and Table
1. Press b 2 0 for Math Drill or b 2 1 for
×
Table.
2. Math Drill: Use u and d to select the number of
questions (25, 50, or 100).
×
Table: Use u and d to select a row in the
multiplication table (1 to 12).
3. Math Drill: Use l and r to select the operator type for
+ − × ÷ + −×÷
questions ( , , , , or
×
Table: Use l and r to select the order type ("Serial"
or "Random").
4. Press e to start.
×
When using Math Drill or Table (random order only),
questions 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, " " appears and the next question
16
is displayed.
• If the answer is wrong, " "appears and the same question
is 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
answer and pressing e.
8. After you fi nish, 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.
Math Drill sample
⋮
⋮
×
Table sample
⋮
⋮
17
Ranges of Math Drill Questions
The range of questions for each operator type is as follows.
+
Addition operator: "0
]
Subtraction operator: "0
positive integers and 0.
>
Multiplication operator: "1
÷
)
Division operator: "0
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.

ERRORS AND CALCULATION RANGES

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.
).
Current question/
Total questions
Question
See step 6 above.
Number of questions
Operator type
Percentage correct
Correct answers
Total remaining
questions
Question
See step 6 above.
Multiplicand
Order type
Percentage correct
Correct answers
+ +
0" to "20 20"
− −
0" to "20 20"; answers are
× ×
0" or "0 1" to "12 × 12"
÷
1" to "144 12"; answers are