Statistical Calculations; Drill Mode - Sharp WriteView EL-W506 Operation Manual

Calculations Using Engineering Prefi xes
Calculation can be executed in NORMAL mode (excluding
N-base) using the following 9 types of prefi xes.
Prefi x Operation
N 3 0
k (kilo)
N 3 1
M (Mega)
N 3 2
G (Giga)
N 3 3
T (Tera)
N 3 4
m (milli)
N 3 5
µ (micro)
N 3 6
n (nano)
N 3 7
p (pico)
N 3 8
f (femto)
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.
• The modify function can be used in NORMAL, STAT, MATRIX,
or LIST modes.
Simulation Calculation (ALGB)
If you have to fi nd values consecutively using the same
expression, such as plotting a curve line for 2
x y
variable values for 2 + 2 =14, once you enter the expression,
all you have to do is to specify the value for the variable in the
equation.
Usable variables: A–F, M, X and Y
• Simulation calculations can only be executed in NORMAL
mode.
• Calculation ending instructions other than = cannot be
used.
Performing calculations
1. Press b 0.
2. Input an expression with at least one variable.
3. Press N 1.
4. The variable entry screen will appear. Enter a value,
then press e to confi rm. The calculation result will be
displayed after you have entered a value for each variable
used in the equation.
• After completing the calculation, press N 1 to
perform calculations using the same equation.
• Variables and numerical values stored in the memories
will be displayed in the variable entry screen. If you do
not want to change any values, simply press e.
• Performing simulation calculation will cause values in
memory to be overwritten with new values.
Solver Function
x
The solver function fi nds the value for
entered expression to zero.
• This function uses Newton's method to obtain an
approximation. Depending on the function (e.g. periodic) or
start value, an error may occur (ERROR 02) due to there
being no convergence to the solution for the equation.
• The value obtained by this function may include a margin of
error. If it is larger than acceptable, recalculate the solution
x
after changing the "Start" and d values.
• Change the "Start" value (e.g. to a negative value) or
value (e.g. to a smaller value) if:
• no solution can be found (ERROR 02).
• more than two solutions appear to be possible (e.g. a
cubic equation).
• to improve arithmetic precision.
• The calculation result is automatically stored in the X memory.
• Press j to exit the solver function.
Performing solver function
1. Press b 0.
x
2. Input an expression with an variable.
3. Press N 2.
4. Enter a "Start" value and press e. The default value is "0".
x
5. Enter a d value (minute interval).
6. Press e.
17

STATISTICAL CALCULATIONS

Statistical calculations can be performed in STAT mode.
There are eight sub-modes within STAT mode. Press b 1,
Unit
then press the number key that corresponds to your choice:
10 3
0 (S#a# 0 [SD]): Single-variable statistics
10 6
1 (S#a# 1 [LINE]): Linear regression
10 9
2 (S#a# 2 [QUAD]): Quadratic regression
10 12
3 (S#a# 3 [E_EXP]): Euler exponential regression
10 –3
4 (S#a# 4 [LOG]): Logarithmic regression
10 –6
5 (S#a# 5 [POWER]): Power regression
10 –9
6 (S#a# 6 [INV]): Inverse regression
10 –12
7 (S#a# 7 [G_EXP]): General exponential regression
10 –15
Statistical Calculations and Variables
18
The following statistics can be obtained for each statistical
calculation (refer to the table below):
Single-variable statistical calculation
Statistics of ① and the value of the normal probability function.
Linear regression calculation
Statistics of ① and ②. In addition, the estimate of
y
(estimate ´) and the estimate of
Quadratic regression calculation
Statistics of ① and ②, and coeffi cients
regression formula (
calculations, no correlation coeffi cient (
there are two
"2:", and stored separately in the X and Y memories.
19
Euler exponential regression, logarithmic regression, power
regression, inverse regression, and general exponential
regression calculations
x
2
+ 1, or fi nding the
Statistics of ① and ②. In addition, the estimate of
and the estimate of
each formula into a linear regression formula before actual
calculation takes place, it obtains all statistics, except coeffi cients
b
and , from converted data rather than entered data.)
x –
sx
x
①
n
x
x 2
y –
sy
y
y
y 2
②
x y
r
a
b
c
• Use ; and t to perform a variable calculation in STAT
20
mode.
that reduces the
• U does not function in STAT mode.
Data Entry and Correction
Before entering new data, clear the memory contents (@ Z ).
Data entry
Single-variable data
Data _
Data H frequency _ (To enter multiples of the same
x
d
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
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.
y
for a given
x y
for a given (estimate
a b c
, , in the quadratic
a x cx
y b 2
). (For quadratic regression
r
) can be obtained.) When
x
´ values, each value will be displayed with "1:" or
y
for a given
x
y
for a given . (Since the calculator converts
Mean of samples (x data)
Sample standard deviation (x data)
Population standard deviation (x data)
Number of samples
Sum of samples (x data)
Sum of squares of samples (x data)
Mean of samples (y data)
Sample standard deviation (y data)
Population standard deviation (y data)
Sum of samples ( y data)
Sum of squares of samples (y data)
Sum of products of samples (x, y )
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 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:".
21
Display and move the cursor to the data item to be modifi ed
by using u and d, enter the correct value, then press
_ or e.
x
• To delete a data set, display and move the cursor to an item
x
´).
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
Type
Linear
Quadratic
Euler exponential
x
Logarithmic
Power
a
Inverse
General exponential
An error will occur when:
• 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.
Normal Probability Calculations
In STAT mode, the three probability density functions can be
accessed under the MATH menu, with a random number used as
a normal distribution variable.
Notes:
• P(t), Q(t), and R(t) will always take positive values, even when
t < 0, because these functions follow the same principle used
when solving for an area.
• Values for P(t), Q(t), and R(t) are given to six decimal places.
• The standardization conversion formula is as follows:
t = x x
— x

DRILL MODE

Math Drill: b 2 0
22 Math operation questions with positive integers and 0 are
displayed randomly. It is possible to select the number of
questions and operator type.
Multiplication Table ( Table): b 2 1
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
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
questions are randomly selected and will not repeat except
by chance.
Data set number
x
Data
Frequency
Data set number
x
Data
y
Data
Frequency
23
Regression formula
y a
bx
y a cx
bx 2
y a e x
b
y a x
b
ln
y a x
b
1
y a
b
x
x
y a
b
10 100 .
24
Table
).
Table (random order only),