Sharp El738 User Guide

							60
Chapter 4
Scientifi c Functions
This calculator has a variety of functions. Press 
m 
0 to 
select NORMAL mode and perform scientifi c calculations.
•  For basic calculations, see page 11.
•  When a listed fi nancial variable is displayed, you can enter 
the result of a scientifi c calculation into it by pressing 
Q 
immediately after completing the calculation.
•  Scientifi c calculations can also be performed in STAT mode.
•  The examples in this chapter are all performed under the SET 
UP menu’s default settings. Before starting calculation, press 
s to clear the display.
Constant Calculations
Example Key operation Result
34 
+ 57 =s 34
 
+ 57
 
=9100
45 + 57 =45
 
=10200
68 × 25 =68
 
x 25
 
=170000
68 × 40 =40
 
=272000
•  In constant calculations, the addend becomes a constant. 
Subtraction and division behave the same way. For multiplica-
tion, the multiplicand becomes a constant.
•  In constant calculations, constants will be displayed as   .
Chain Calculations
A calculation result (ANS memory) can be used in a subse-
quent calculation. However, it cannot be recalled after entering 
multiple instructions.
Example Key operation Result
6 
+ 4 = ANS
ANS + 5 =s6
 
+4
 
= 
+5
 
=1000
1500
8 × 2 = ANS
ANS2 =8
 
x 2
 
=
. 
; 
=1600
25600
44 + 37 = ANS
    ANS =44
 
+ 37
 
=
. 
} 
=8100
900

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Scientifi c Calculations
Example Key operation Display
sin 60 [°] =
s 
. 
{ 60
 
=
sin60=
087
cos — [rad] =~ 
1 
1 
. 
c 
( 
. 
t 
84
 
) 
=cos(π©4)=
071
tan–1 1 [g] =
~ 
1 
2 
. 
71
 
=tan-|1=
5000
tan–1 1 [°] =
~ 
1 
0 
. 
71
 
=tan-|1=
4500
•  The range of the results of inverse trigonometric functions
θ = sin–1x
, 
θ = tan–1x
θ = cos–1x
DEG –90 ≤
 
θ ≤
 90 0 ≤
 
θ ≤
 180
RAD– — ≤
 
θ ≤
 —
0 ≤
 
θ ≤
 
π
GRAD –100 ≤
 
θ ≤
 100 0 ≤
 
θ ≤
 200
Example Key operation Result
(cosh 1.5 
+ 
sinh 1.5)2 =s 
( 
. 
] 
c1.5
 
+ 
. 
] 
{1.5
 
) 
. 
; 
=2009
tanh–1 — =. 
] 
7 
(5
 
8 7
 
) 
=090
log 50 =
. 
h 50
 
=170
In 20 =
. 
d 20
 
=300
101.7 =
. 
:1.7
 
=5012
e3 =
. 
R 3
 
=2009
— + — =6
 
. 
; 
+ 7
 
. 
; 
=031
8–2 – 34 
× 52 =8
 
. 
@ 
, 2
 
- 3
 
. 
@ 4
 
x 5
 
. 
; 
=
-202498
(123)– =12
 
. 
@ 3
 
. 
@ 4
 
. 
; 
=645
   49 – 4     81 =
. 
} 49
 
- 4
 
. 
: 
81
 
=400
π
4
π
2π
2
1
4
1
61
75
7

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Example Key operation Result
4! =4
 
. 
o 
=
2400
10P3 =10
 
. 
q 3
 
=72000
5C2 =5
 
. 
p 2
 
=1000
What is 25% 
of 500?500
 
x 25
 
. 
%12500
What
percentage of 
400 is 120?120
 
8 400
 
. 
%3000
500 + (500 × 
25%) =500
 
+ 25
 
. 
%62500
400 – (400 × 
30%) =400
 
- 30
 
. 
%28000
Random Functions
This calculator has four kinds of random functions (the 2nd func-
tion of the 
- key).
Random numbers
A pseudo-random number, consisting of three signifi cant digits 
from zero up to 0.999, can be generated by pressing 
. 
| 
0 
=. To generate further random numbers in succession, 
press 
= for each number. Press 
s to exit.
•  To display numbers with three signifi cant digits, set the display 
notation settings to “fl oating point”.
Random dice
To simulate a die roll, a random integer between 1 and 6 can 
be generated by pressing 
. 
| 
1 
=. To generate 
further random numbers in succession, press 
= for each 
number. Press 
s to exit.
Random coin
To simulate a coin fl ip, 0 (heads) or 1 (tails) can be randomly 
generated by pressing 
. 
| 
2 
=. To generate 
further random numbers in succession, press 
= for each 
number. Press 
s to exit.

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Random integer
An integer between 0 and 99 can be generated randomly by 
pressing 
. 
| 
3 
=. To generate further random 
numbers in succession, press 
= for each number. Press 
s to exit.
Example Key operation Display
Pick a random number 
between zero and 9.99.s 
. 
| 
0 
x 10
 
=
RANDOMx1—=
532
•  The result will not be the same each time this operation is 
performed.
Modify Function
Calculation results are internally obtained in scientifi c notation 
with a mantissa of up to 14 digits. However, because calculation 
results are displayed in the form designated by the display nota-
tion and the number of decimal places indicated, a displayed 
calculation result may differ from that held internally. By using 
the modify function (the 2nd function of the 
+ key), the 
internal value is converted to match that of the display, so that 
the displayed value can be used without change in subsequent 
operations.
Example Key operation Result
5 
÷ 9 = ANS
ANS × 9 =
[FIX, TAB = 2]s 5
 
8 9
 
= 
x 9
 
=056
500
5
 
8 9
 
= 
. 
l 
x 9
 
=056
504
 5.5555555555555 × 10–1 × 9
 0.56 × 9
*1
*2
*1
*2

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							64
Chapter 5
Statistical Functions
Statistical calculations can be performed in STAT mode. The 
 symbol will be visible if you are in STAT mode.
There are seven sub-modes within STAT mode, corresponding 
to each of the functions below:
Key operation Sub-mode Display
m 
1 
0
m 
1 
1
m 
1 
2
m 
1 
3
m 
1 
4
m 
1 
5
m 
1 
6SD: Single-variable statistics
LINE: Linear regression
QUAD: Quadratic regression
EXP: Exponential regression
LOG: Logarithmic regression
PWR: Power regression
INV: Inverse regression
Stat —
Stat 1
Stat 2
Stat 3
Stat 4
Stat 5
Stat 6
Entering statistical data
Before you can perform statistical calculations, you will need to 
enter your data. In STAT mode, use 
> and 
J (the 
Q 
key) to enter the following:
For a single-variable data set:
Va l u e 
J
Va l u e 
> frequency 
J (To enter multiples of the same 
value)
For a two-variable data set:
x
 value 
> y
 value 
J
x
 value 
> y
 value 
> frequency 
J (To enter multiples 
of the same x
 and y
 values)
Note:Before entering data, clear any previously entered data 
from memory by doing either of the following:
  Press 
. 
b in STAT mode.
    Switch sub-modes within STAT mode.

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							65
  You can enter a total of up to 100 statistical and/or cash  ow 
data items. For single-variable data, a data set without a 
frequency is counted as one data item, and a data set with 
an assigned frequency is counted as two data items. For two-
variable data, a data set without a frequency is counted as 
two data items, while a data set with an assigned frequency is 
counted as three data items.
  If you wish to correct a value before pressing 
J, press 
L or 
s to delete the entry, then enter the correct value.
  Entering statistical data
Enter the data in the table to the right using 
the “Stat 0” sub-mode.
Procedure Key operation Display
Enter the “Stat 0” sub-
mode.s 
m 
1 
0
Stat —
000
Enter statistical data.30
 
JDATA SET=
100
40
 
> 2
 
JDATA SET=
200
50
 
JDATA SET=
300
Return to the “Stat 0” 
display.sStat —
000
  If there is data stored in memory, press 
. 
b (within 
STAT mode) to clear it.
  The format of the data set (the sample and frequency values) 
number, which is initially set to “1.00”, is dependent on calcu-
lator notation settings.
DATA
30
40
40
50
*1
*2
*1*2

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							66
Confi rming and editing data
 Use 
z / 
i to display a data item from a previously 
entered data set.
 Press 
. 
z or 
. 
i to jump to the  rst or last 
data item, respectively.
  Each data item is displayed in the form: “Xn = (x
 value)”, “Yn = 
(y
 value)”, or “FRQn = (frequency)”, where “n” is the data set 
number.
Editing data
  Display the data item you wish to modify by using 
z / 
i, 
enter a new value and press 
J.
Deleting data
  Display the data item to be deleted by using 
z/
i, and 
press 
. 
?. 
  If a value/frequency is deleted, the corresponding frequency/
value is also deleted.
  If you wish to delete all data, press 
. 
b.
Inserting data
Using the 
z and 
i keys, specify the correct place to 
insert your new data by displaying the value that is to come 
directly after, and then press 
. 
e. A new data set with a 
value of zero and a frequency of one will be inserted. Modify the 
new data set to include your data.
X1=
1000
Data set number
x value
Y1=
2000
Data set number
y value
FRQ1=
1100
Data set number
Frequency

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  Editing statistical data
Change the previously entered data from page 65 as follows:
Procedure Key operation Display
Display the statistical 
data.i
X1=
3000
Change the “40, 2” data 
set to “45, 3”.i 
i 45
 
J 
i 3
 
JFRQ2=
300
Delete “50”.
i 
. 
?Stat —
000
Add “60”.60
 
JDATA SET=
300
Statistical Calculations and Variables
The following results can be obtained for each statistical calcula-
tion (refer to the table below):
Single-variable statistical calculations
Section 

 results only.
Linear regression calculations
Section 

 and 
 results, except for coef cients c
.
The estimate of y
 for a given x
 (estimate y
´) and the estimate of 
x
 for a given y
 (estimate x
´) can also be found.
Quadratic regression calculation
Section 

 and 
 results, and coef cients a
, b
, and c
 in the qua-
dratic regression formula (y
 = a
 + bx
 + cx2). In quadratic regres-
sion calculations, no correlation coef cient r
 can be obtained.
DATA
30
40
40
50DATA
30
45
45
45
60

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The estimate of y
 for a given x
 (estimate y
´) and the estimate 
of x
 for a given y
 (estimate x
´) can also be found. When there 
are two x
 values, the COMP symbol will appear. Press 
@ to 
switch between x
 values.
Exponential regression, logarithmic regression, pow-
er regression, and inverse regression calculations
Section 

 and 
 results, except for coef cients c
.
The estimate of y
 for a given x
 (estimate y
´) and the estimate 
of x
 for a given y
 (estimate x
´) can also be found. Because the 
calculator converts each formula into a linear regression before 
actual calculation takes place, it obtains all statistics — except 
coef cients a
 and b
 — from converted data rather than from 
entered data.
Variables Content
ƒn
Number of samples
x
Mean of samples (x
 values)
sx
Sample standard deviation (x
 values)
σx
Population standard deviation (x
 values)
Σx
Sum of samples (x
 values)
Σx
2Sum of squares of samples (x
 values)
„y
Mean of samples (y
 values)
sy
Sample standard deviation (y
 values)
σy
Population standard deviation (y
 values)
Σy
Sum of samples (y
 values)
Σy
2Sum of squares of samples (y
 values)
Σxy
Sum of products of samples (x
, y
)
a
Coef cient of regression equation
b
Coef cient of regression equation
c
Coef cient of quadratic regression equation
r
Correlation coef cient
 Use 
i or 
f to perform a variable calculation in STAT 
mode.

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  Single-variable statistical calculation
Example Key operation Result
m 
1 
0 
. 
b
Stat —
000
9595
 
JDATA SET=100
8080
 
JDATA SET=200
80
JDATA SET=300
75
75
7575
 
> 3
 
J
DATA SET=400
5050
 
JDATA SET=500
x
 =
f 
=–
x7571 =
σx
 =
f 
21237σ≈=
n
 =
f 
n700n=
Σx
 =
f 
U53000Í≈=
Σx2 =
f 
[4120000Í≈Œ=
sx
 =
f 
41336Sx=
sx2 =
. 
; 
=17857SxŒ=
— 
× 10 + 50 =( 95
 
- 
i 
= 
) 
8 
i 
4 
x 10
 
+ 50
 
=
6443
DATA
1
(95 – x
)
sx

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