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...

61
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 
(...

62
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...

63
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,...

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...

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...

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...

67
  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...

68
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....

69
  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...