HP 10s Scientific Calculator
User's Guide
Part Number: F2214-90001
First Edition: 01/2007
m
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MANUAL OR THE EXAMPLES CONTAINED HEREIN.
© Copyright 2005, 2007 Hewlett-Packard Development
Company, L.P.
Reproduction, adaptation, or translation of this
manual is prohibited without prior written permission
of Hewlett-Packard Company, except os allowed
under copyright lows.
Hewlett-Packard Company
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USA
Contents
Notice............................................................................ 1
Using the Protective Case
Safety Precautions
Other Precautions.................................................................. 5
Two-Line Display
Preparing to Use the Calculator
Modes................................................................................. 7
Input Limit
Error Correction when Entering............................... 9
Recalling a Previous Calculation
Error Indicator
Multi-statement.............................................................10
Exponent Display Format
Decimal Point and Separator
Initializing the Calculator
Basic Calculations.................................................................11
Arithmetic Operations................................................ 11
Calculation with Fractions.........................................12
Calculating Percentages
Calculations Involving Degrees, Minutes
and Seconds
FIX,SCI,RND.................................................................... 15
Calculations Involving the Memory...............................17
Ans Memory....................................................................17
Continuous Calculation
....................................................................
........................................................................
Calculation with fractions
Converting between decimal and fractional
display
..................................................................
Converting between Mixed and Improper
Fractions.............................................................. 13
About Calculating Percentages
..................................................................
..................................................
.................................................................
......................................
.............................
................................................................
..........................................
..................................
..........................................
..............................
............................................
.................
..............................................
10
10
11
11
12
13
14
14
15
17
2
4
4
7
7
8
9
Variable M........................................................................18
Variables
Scientific Functions...............................................................19
Trigonometric and Inverse Trigonometric
Functions......................................................................... 19
Hyperbolic and Inverse Hyperbolic
Functions..........................................................................20
Common Logarithms, Natural Logarithms
and Antilogarithms
Square Root, Cube Root, Root, Square,
Cube, Reciprocal, Factorial, Random
Number, Circumference Ratio(tr),
Permutation and Combination
Converting Angular Measurements
Coordinate Systems ( Pol (x,y),Rec (r,6)) 22
Expressing Numbers in Engineering
Format...............................................................................22
Statistics....................................................................................23
Standard Deviation-SD...............................................23
Regression-REG.............................................................25
Technical Data....................................................................... 29
Troubleshooting............................................................29
Error Messages
Input Range....................................................................31
Sequence of Operations
Stack...................................................................................34
Automatic Power-Saver
...........................................................................
......................................................
...............................
.....................
Linear Regression
Logarithmic, Exponential, Mathematical
Power and Inverse Regression
Quadratic Regression......................................28
.............................................
....................
..............................................................
............................................
.............................................
18
20
20
21
27
28
30
33
35
Specifications..........................................................................35
Regulatory Information......................................................37
Customer Support.................................................................40
3
Using the protective case
Please do not slide the protective cose over the LCD.
1. Before use, slide the calculator out of the
protective cose os shown below.
2. After use, slide the protective cose onto the
calculator, os shown below.
Safety Precautions
Before using this calculator, please read the following
safety precautions carefully. Keep this manual handy
so that you can refer to it when needed.
Notice
This symbol indicates that there is a risk of injury or
damage if the specified safety precautions are ignored.
Battery
9 Keep battery out of the reach of children. If a
battery is swallowed, seek urgent medical
advice.
• Do not charge, attempt to disassemble, short
circuit, or apply heat to the battery.
9 When installing a new battery, orient it such
that the positive sign is facing upwards.
9
Use only the battery specified in this manual.
Disposing of the calculator
9
Do not dispose of this calculator in an incinerator.
It might explode and cause injury or fire.
The representations of the display and the keys in
this manual are for explanatory purposes only
and may not exactly match what you see on the
calculator.
A
Other Precautions
Before using this calculator for the first time,
press the H key.
The battery may lose some charge between the
time the calculator leaves the factory and the
time when it is purchased. Thus the original
battery may not last as long as a new battery.
5
when battery power is very low, the calculator's
memory may become corrupt or be lost
completely. To avoid loss of important
information, keep o copy of it elsewhere.
Avoid storing or using the calculator under
extreme temperature conditions.
Low temperature will slow the calculator's
response time, cause the display to appear
incomplete, and shorten the life of the battery. In
addition, the calculator should not be directly
exposed to the sun or placed near a heater. High
temperature may cause the casing to fade, distort
the casing, or damage the internal circuitry.
Avoid storing or using the calculator in damp
conditions or when there is high humidity or excessive
dust. Doing so will damage the internal circuitry.
Do not drop the calculator or allow it to be
subjected to extreme force.
Do not twist, bend or otherwise distort the
calculator.
Note: Carrying the calculator in a pocket could
cause it to twist or bend.
Do not use a pen or other pointed object to press
the calculator's keys.
Use a soft dry cloth to clean the calculator.
Opening the case of calculator voids the warranty.
If the calculator is very dirty, a neutral household
cleanser diluted in water can be used to clean it.
Dip a cloth in the solution and wring it out before
applying it to the calculator. Do not use benzine,
o diluting agent or any other volatile solvent to
clean the calculator. Doing so may damage the
casing and the keys.
Two-Line Display
The calculator shows both the expression being
calculated and the result of the calculation. These
appear in a two-line display.
• The expression being calculated is shown on the
upper line.
• The result is shown on the lower line.
If the result has more than three digits, a separator
appears before each group of three digits.
Preparing to Use the Calculator
■ Modes
Choose the appropriate mode before performing a
calculation.
Type of Calculation
Basic Calculation
Standard Deviation
Calculation using
Regression
Press the Hi key to display each settings screen
in turn. Each settings screen is described later in
this guide.
Throughout this guide, the mode setting required
for each type of colculation is given when the
calculation is explained.
Operation
H □□
|me | rri
Calculation mode
COMP
SD
REG
7
Notes
To return the calculator to its default settings,
as indicated below press[sm] ^ ^ (Mode) B
in that order. The default settings are:
Calculation mode : COMP
Angle unit: Deg
Exponent display format: Norml
Fraction display: ab/c
Decimal point character: Dot
The mode indicator appears in the upper part of
the display.
Before calculating, check the current mode
setting (COMP, REG or SD) and the angle unit
(Deg, Rad or Grad).
Input Limit
The memory of the calculator can accommodate
79 steps in any one calculation. When you press
a number key or an arithmetic operator key (D ,
B,D,B ). it occupies one step. Pressing
HorH does not occupy a step. So pressing
[Hi] [^ , for example, takes up only one step.
When you input the 73"^ step of any calculation,
the cursor chonges from "
to the fact that the capacity of the memory is
almost used up. If what you want to input contains
more than 79 steps, separate the calculation into
two or more smaller calculations and then combine
them os you go.
Press S to recall the previous result, which can
then be used in the next calculation. Please see
the section on Key Memory for more information
about the S key.
___
" to " ■ " to alert you
Error Correction when Entering
Press H or E to move the cursor to the position
needed.
Press H to delete the digit or function at the
position of the cursor.
Press the H ® keys to activate the insertion
cursor []. Whatever you insert now will appear
at the cursor's current position.
Press the [wi] [¡ns] key to return the cursor to its normal
functioning.
Recalling a Previous Calculation
Each calculation and its result is kept in memory.
Press H to recall the previous calculation and
its results. Press the S key again to recall the next
previous calculation, and so on.
When a previous calculation is recalled, you can
activate editing mode by pressing^ orQ.
After any calculation, the calculation con be
edited by pressing g or immediately.
Pressing does not clear the calculation
memory. Therefore, when you press ® again,
the previous calculations are still available.
The capacity of the calculation memory to store
expressions and calculation results is 128 bytes.
The calculation memory is cleared if the:
■ [pg key is pressed
- H C^(or^) Hare pressed (which initializes
the calculator)
- calculation mode is changed
- power supply is turned off
■ Error Indicator
• If an error occurs, press ^ or . The calculation
reappears and the cursor is located where the error is.
■ Multi-statement
A multi-statement is an expression consisting of two or
more smaller expressions. The expressions are separated
by a colon (:)
■ Exponent Display Format
The calculator can display up to 10 digits. Values
needing more than 10 digits will automatically be
displayed in exponent notation. Two exponent
formats are available.
• To change the display format, press H repeatedly
until the appropriate settings screen appears.
Fix
1 2
For an exponent setting, press . In the settings
screen that appears, press CD to choose Norm 1
or El] to choose Norm 2.
Norm 1
Exponent notation is applied automatically to any
number whase absolute value is greater than ar
equal to 10'° or less than 10 °.
Norm 2
Exponent notation is applied automatically to
any number whose absolute value is greater than
or equal to 10'° or less than 10 ’.
In this manual, results are expressed in Norm 1 format.
Sci
Norm
3
10
■ Decimal Point and Separator
The display setting (Disp) screen is used to specify
the required decimal mark and the character to use
before groups of three digits.
To change these settings, press [j
the settings screen appears.
Disp
repeatedly until
1
Press CD H to display the settings screen.
Press the number key ( CD or ED ) corresponding
to the setting you want:
ED (Dot) : Decimal point and comma separator
ED (Comma): Decimal comma and point separator
Initializing the Calculator
To initialize the calculator (which clears the memory
and all variables, and resets all modes to their
default settings) press: [wi] ED (ALL) B
Basic Calculations
■ Arithmetic Operations
To perform a basic calculation, select COMP mode
by pressing g .
COMP...................................................................................H DE
When raising negative values to powers, make
sure that the negative sign is inside the
parentheses around the value. Please see the
section on Sequence of Operations (page 33) for
more information.
1 1
A negative exponent does not need to be in po rentheses.
sin 4.56X 10 “ -► H 4.56 S [t>] 8
Example 1:3X(4X10'") = 1.2X10‘
3D4SG3 7H
Example 2: 2X(3+4)=14
You con omit the EG at the end of on expression
if the next key you press is Q .
2am3n4Ei
Calculation with fractions
A value is automatically displayed in decimal
format if the total number of digits of the fraction
(integer + numerator + denominator + semicolon)
is greater than 10.
Example 1: 3 + 5=^
1 S 3 D 2 S 5 I
Example 2: 3-;^ + 2-7 = 64
Example 3:
Example 4: — + 1.8=2.05 1 4 El 1.8^1
2 4 4
3 1 2 I
2S 3S4I
4
11 j15.|
6j1 ..4.
6S9I
A calculation involving a fraction and a decimal
generally yields a decimal result.
12
Converting between decimal and fractional display
Example 1: 3.25=3— 3.251
(Decimal«—»Fraction) [
3.25
3^1 j4.
13 j4.
Example 2:
(Fraction«
0.2
Decimal) 1 S 5 I
1 ^5.
0.2
1 j5.
Converting between Mixed and Improper Fractions
Example :
To change the fraction display format, press I
repeatedly until the following screen appears.
u
4
2 S 3 S 4 I
IsiiiFfl Id^
IsiiiFfl Id^
2^3.,4.
11 j4.
2 j3 j4.
Disp
1
13
Press CD to display the settings screen.
Press the number key ( DO or [T] ) corresponding
to the setting required:
ГП (ab/c ) : Mixed fraction
m ( d/c ) : Improper fraction
If you choose the d/c display format and enter a
mixed fraction, an error will occur.
Calculating percentages
About Calculating Percentages
Example 1: Calculate 15% of 1000 ? (150)
1000 И 15 H®
Example 2: What percentage of 440 is 330 ? (75%)
330 H 440 H ®
Example 3: 1 000 plus 1 5% ? (11 50)
lOOOO 15H® И
Example 4: 1 000 minus 1 5% ? (850)
lOOOO 15H®H
Example 5: If the original weight of a sample is 400g
and a further lOOg is added to it, what is the new
weight as a percentage of the old weight ? (125%)
100 D 400 H И
Example 6: If the temperature increases from 60*0
to 66t;, what is the percentage increase? What is
it when the temperature increases to 69t:?
(10%, 15%)
66H60H®
HH 9H
14
Calculations Involving Degrees, Minutes and
Seconds
You can convert between sexagesimal and
decimal numbers.
Example 1: Convert the decimal number 1.234 to
its sexagesimal equivalent and then back to a
decimal number again.
1.2341
[sill
B \_
1
1.2341
r 14° 2.4
HI 1.2341
1’ 56” X7.89
12 H 34 H 56 HD 7.89
B n
99°16°25.44 1
FIX, SCI, RND
To change the display format settings, press
repeatedly until the screen below appears.
Fix
1 2
Press the number key (□□ , Q or Q)
corresponding to the setting you want to change.
rn (Fix) : To set the number of decimal places
p2] (Sci) : To set the number of significant digits
H (Norm): To set the display format to normal
Example 1: 100■^3xl 5
(Now specify that you want numbers displayed
with 3 decimal places. )
Sci
1 00 B 3 □ 1 5 I 500.
■ CD (Fix) H
Norm
3
FIX
500.000
15
(Note that only the display precision gets fixed to
3 digits. The calculations are still performed with
the complete number.)
100 B 3 I
□ 151
(Note that you can also force the calculator to
round a number to the number of decimal places
you have specified.)
100 B3
(Internally Rounded)
IshìftI M
33.333
500.000
B I
33.333~l
33.333
□ 151 499.995
Pressisi
Example 2; 2-5-3
Display the result with two significant digits(Sci 2)
H
.............
You can also display result in 10 significant digits
(Sci 10) using (Sci)
Press • ^ (Norm) to cancel settings.
■ (Norm) to cancel the settings.
H (Sci) [T]
2B 3E
SCI
6.7x10
16
Calculations Involving the Memory
To perform a calculation involving the memory,
press [m] to enter COMP mode.
COMP...................................................................................H □□
■ Ans Memory
B The Ans memory is updated with each new
calculation when you press B .
It is also updated when you press
W B or [ajs] after a letter (A to F, or M, X, or
Y).
Pressing recalls the contents of the Ans memory.
The Ans memory can only store one value at a
time.
The Ans memory is not updated if an error occurs
when you use any of the above mentioned keys
for a calculation.
Continuous Calculation
The result currently displayed can be used as the
first value in the next calculation. Simply press an
operator key. Ans appears on the screen,
indicating that the last answer obtained is to be
used in the calculation.
The previous result can also be used by the following
functions: ( x^, x.',DRG^),+, —
X,-T, nPrornCr.
17
Variable M
You can use the variable M to compute
accumulated totals which can be put into the
variable M directly, or they can also be added to or
subtracted from the number stored in variable M.
To clear the numerical values the
separate variable M, pressIshWI |It^ Pm] (M+)
Ism] (M+)
45 B 6 H
38 Q 2 H H
® H (M+)
(Total)
12+3=15
45-6 = 39
- 38X2 = 76
-22
121
Variables
There are 9 variables: A to F, M, X and Y. These
are used for storing data, constants, calculation
results and other numerical values.
To clear a single variable, store zero into it. For
example, fol H |^ P+l
This clears variable A.
To clear the values of all variables, press [»i]
□D (Mcl) □
Example:
1234+20= 61.7
1234+25 = 49.36
1234^
lEH 201
] E B 25 I
18
Scientific Functions
To perform a scientific function calculation, press
ImeI to enter COMP mode.
COMP...................................................................................
Some scientific calculations may take longer than
other types of calculations.
You can start the next calculation after the
calculation result displays on the screen .
]□:
;r = 3.14159265359
Trigonometric ond Inverse Trigonometric Functions
To change the current angle units (degrees,
radians or grads), press repeatedly until
the following screen appears.
Deg Rad Gra
1 2
Now press the number key ( CD , H or Ci] '
corresponding to the angle unit you want to use.
(Note thot 90°= ^ radians = 100 grads )
Example 1: sin 12” 34’ 56” =0.21 7840422
H
.............
E (Deg) H12H34H56HB
Example 2: cos( — rad)=0.5
H
.............
H (Rad) MmSFi1^B3mB
3
Example 3: cos ' — =0.25Tr(rad)(= — (rad))
gi
.............
ES (Rad)
ME°f^mEH2B2mBWBEHiFTl^B
Example 4:tan '0.789=38.27343992
H
.............
CD (Deg) [Wi] S 0.789 B
19
Hyperbolic and Inverse Hyperbolic Functions
Example 1: sinh4.5=45.00301 115
@ [¡l!!] 4.5 B
Example 2: cosh '60=4.787422291
I hr I I SHIFT I [cos'll 60 ^3
Common Logarithms, Natural Logarithms and Antilogarithms
Example 1: logl .2=0.0791 81 246 H 1.2 B
Example 2: In90(=log,90)=4.49980967
H90B
Ine = 1 Qn] H ® B
Example 3:e'° =22026.46579 HSIOB
Example 4:10^=31 6.227766 H S 2.5 B
Example 5: 2'"=0.03125 2 H []3 5 B
Example 6: (—2)‘=64 CD [D] 2 CD DD 6 B
Note that the negative value in the previous example had
to be placed in parentheses. Please see the Sequence of
Operations secWon fordetails.
Square Root, Cube Root, Root, Square,
Cube, Reciprocal, Factorial, Random
Number, Circumference Ratio(7T),
Permutation and Combination
Example 1: V2 + XJ4 =4.878315178
E2nE3QE4B
Example 2: ^V4 + 2FS = -0.1 22574894
I SC 4 I ISCDD5
20
Example 3: «/123 (=123'^)= 3.33024571 3
Example 4: 123+45^=2148 1 23 B 45 @ B
Example 5: 54^=157464 54@ B
Example 6: y—^=6
2 3 rn2r^P3ric^nn^B
Example 7: 61=720 6 tUl] B
4 H H 123 B
Example 8: Generate a random number between
(The value shown above is just an example. A difierent
random number is likely to be produced eoch time)
Example 9: 2?r= 6.2831 85307
Example 10: How many different 5- digit numbers can
be produced with the digits 1 to 6 if no digit can be
repeated (12345 allowed, 11234 not allowed) ? (720)
Example 1 1: How many different groups of three
people can be organized with 1 0 people? (1 20)
0 . OOOandO . 999
___________________
0.654
]® I
6 isHiPTl 5 B
10® 3B
Converting Angular Measurements
Press the [M3 H keys to display the following screen.
D R G
1 2
Press ® or ® to chonge the displayed
value to the corresponding angle unit.
3
21
Example: Change 2.34 radians to degrees.
S
..............
□□ (Deg)
2.34 H S H (R)
2.34r
134.0721241
Coordinate Systems (Pol (x,y ), Rec (r ,9))
The result will be stored in variables E and F
automatically.
Example 1: Express the point defined by the polar
coordinates ( r = 4, 6 = 30“ ) in rectangular
coordinates {x,y). (Deg)
3C= 3.464101615 HH4Q30EH
y=2 @ H
Press [M] S] to display the value of x or press
to display the value of y.
Example 2: Express the point defined by the
rectangular coordinates (2,^5) ir polar
coordinates ( r, 0). (Rad)
r = 3 S2QE5DDH
0 = 0.84106867
Press [r^ to display the value of r or press
[r^CQ to display the value of 0.
Expressing Numbers in Engineering Format
Example 1: Change 54321 meters to kilometers
-->54.321 X 10" 54321H 5^
Example 2: Change 0.01234 grams to milligrams
—>12.34 X 10 " 0.01234
(km)
(mg)
22
Statistics
■ Standard Deviation-SD
Press H to select SD mode for statistical
calculations with standard deviations.
SD.........................................................................................H H
B In SD and REG modes, the @ key acts as the key.
B Press the g ^ (Scl) B keys to erase the
statistics memory before you enter data.
B Press the following key to input data.
<x data>
B Input data to calculate n ,'S.x, , x , xo n ,
X o n-i.
To display this result
~Sx
n
X
xo n
XO n-l 1^ islil
• Example: Calculate xo n-i, xo n, x , n,
given the following data:
In SD mode :
Each time you press [^, the data you have just
entered is stored. The n= value shown on the screen
indicates the number of data pairs you have entered.
Standard deviation of the sample
(xon-i)= 1.407885953 HHSB
15,14,11,15,13,13,14,12
] m (Scl) I
(Stat clear]
Press these keys
IshIftI |mI| m
jSHiFTl M
IsiiiFTl |M| rri
IshWI |Twi| rn
1^ |s^ [T1
i5[pg 1.
14 [Din 1 1 [Pin 15 fpin
1 3 |dt| [dtI 14 [dtI 1 2 |pt1
23
Standard deviation of the population
(x:on) = 1.316956719 HHEI
Mean (3c) = 1 3.375 Q Q Q |
Number of data points(n) = 8 W W I
Sum of the data values [xx) = ^ 07 H H H I
Sum of the squares of the data values
(E x^) = 1445 M W rn I
Data Entry Hints
• Press [d3 to enter the same data twice.
• Press H Cl] to repeat the same data item several
times. For example, press 1 00 М ГП 1 5 Грт] to
enter the data value 100 15 times.
• You can perform these operations in any sequence,
not necessarily in the same order as in the example
above.
e Press H or Щ to scroll through the entered data.
• Edit the data displayed as desired. The new data
replace the old data after inputting new data and
pressing the key B. Therefore, if you want to
perform some other operations (calculation,
display calculation result and so on), you must first
press the key ® to exit from the data displaying
screen.
e To change a data value, scroll to it, enter the new
value and press B. (However, you must press ®
if you want to add the value as a new data item.)
• To delete a data value displayed by pressing S
and И, press H @-
e The values are stored in the memory. If "Data Full"
appears on the screen, there is no more memory
available to store new data. In this case, press
В lo display the following menu:
Edit OFF
1 2
24
ESC
Press H to quit the data input operation without
storing the entered data values. Alternatively, press GQ
to clear the values but remain in data input mode.
• Press [siiinl to cancel data input.
• In SD or REG mode, you cannot display or edit data
items once you change to another mode or choose a
different regression type (Lin, Log, Exp, Pwr,lnv, Quad).
Regression-REG
Calculations involving regression require REG
mode. Press key to select REG mode.
REG.......................................................................................H m
B In SD mode and REG mode, the ® l«y ads as the losy.
B When you seled REG mode, the following screen appears.
Lin
1
Pwr
1 2
Press the number key (□□ , Cl] orCl]) corresponding
to the regression type you want to use.
m (Lin) : Linear regression
E (Log) : Logarithmic regression
E (Exp) : Exponential regression
HE (Pwr) : Mathematical power regression
HE
(Inv) : Inverse regression
H E
Before entering data, press the [wi] GD (Scl) B
keys to clear the statistics memory.
Press the following key to input data.
<xdata
The regression calculation result is determined by
the data input. The result can be displayed using
the following syntax and keys.
(Quad) : Quadratic regression
> E
Log
2
H 4 ♦
Inv Quad
<ydata
Exp -►
3
H
3
> H
25
To display the result
Press these keys
i»ti imh m
Sx
n
zy
Zy
Zxy
X
XO n
Xo n-^
y
yon
yon-}
Regression coefficient A
Regression coefficient B
Q ^
IsiiiFtl iHiiil Q
Isiifl |M| [g □□
IsiiiFtl Issiiil rzi
|»t| IhH rri
[Ml M rn
M S H
M S H
M H H CD
Ml |M| Ml M
M S H H
H H H H CD
H H H H H
With non quadratic regression types:
Regression coefficient r
H H H H E
Sc H H H H H E
y H H H H H E
• To display quadratic regression calculation results ,
use the following syntax and keys.
To display the result
Press these keys
Zx® M H M M E
Zx?y
Zx"
Regression coefficient C
H H H H E
M W Ml M E
M W M M E
Sc^ H H H H H E
X2
H H H H H E
y M H M H H E
• The statistics values calculated can be stored in
variables and used in expressions.
26
Linear Regression
The formula for linear regression is i/=A+Bx
Example: The relationship between atmospheric
pressure and air temperature is given in the
following table:
Ai?
ЮЪ
1513
2013
2513
ЗОЮ
Atmospheric
Pressure
1003 hPa
1005 hPa
1010 hPa
101 1 hPa
1014 hPa
Temperature
In regression (REG) mode: ( ^xy
(mode 3 ) □□ (Lin)
[»t| ГП (Scl) В (Stat clear)
Each time you press ® , the data you have just
entered is stored. The n = value shown on the screen
indicates the number of data pairs you have entered.
Regression coefficient A=997.4 gS] [jg ® ® Щ В
Regression coefficient B=0.56 gS] [ig ® ® Щ В
Regression coefficient
i^O.982607368 H H H H H H
The atmospheric pressure when the air temperature is — 5"C
=994.6 ШИ5ИННННННН
The air temperature when atmospheric pressure is 1000 hPa
=4.642857143 1000 1
Coefficient of determination
=0.965517241
Sample covariance=35
The following explains how to
calculate the coefficients of the
regression formula and how the
formula con then be used to
determine air temperature at a
particular pressure (lOOOhPa)
and the air pressure at a
particular temperature (—5t:).
in the process, we also
determine the coefficient of
determination (r^)
sample covariance _ _
10 И 1003®
20 И 1010® 25 И 101 1®
1НННШИН
□□ [m] [Hi] ® Щ H
and the
___
П’ x • у ^
n-1
15 И 1005®
ЗОИ 1014®
]® ® ® ®|
1.
I и i!l M я ГП
ннншшн
itrl |Ш| ГТ] в 1 щ в
Ш
27
Logarithmic, Exponential, Mathematical Power
and Inverse Regression
Use these regression types in the same way that
you use linear regression (see above).
The corresponding regression formulas ore:
Logarithmic regression
y=A+B • Inx
Exponential regression
Mathematical Power
Regression
Inverse regression
y=A- e“'*(lny=lnA+Bx)
y= A • X ® (Iny =lnA+B Inx)
y=A+B.;^
Quadratic Regression
The regression formula for quadratic regression is
y=k+ix+Cx ^
Example: In this example, we perform quadratic
x i
29 1.6
50 23.5
74
103 46.4
118 48.0
regression on the given doto to
y i
determine the regression formula and
then use the formula to calculate y
(the estimated value of y) when xi =
38.0
16 and the x value (the estimated
value of x) when yi= 20.
In regression (REG) mode:
H H (Quad)
[sSi] (Scl) B (Stat clear)
29 Q 1.6[^50Q23.5[^
74 Q 38.0 103 Q 46.4 m
Regression coefficient 118H48.0IM]
A=-35.59856934 H S H H □;] B
Regression coefficient
8=1.495939414 H H H H H B
Regression coefficient
C=-6.71629667X10^" HHHHEB
Estimated value of
Estimated value of XT-
y=~l 3.38291067 when xi =
16 isltl islil m
:47.14556728 when yi=20
20HHHHHCOB
28
16
Estimated value af 5c2=l 75.5872105 when yi = 20
Data Entry Hints
# Press to enter the same data twice.
• Press H CiD to enter the same data several times.
For example, pressing 30 Q 40 [US CS 5 [Sl]
enters the data pair {30, 40} 5 times.
9 The same data entry hints noted lor Standard Deviation
mode (see earlier) also apply in Regression mode.
9 When carrying out statistical calculations, do not
store any data in variables A to F, X or Y. These
variables are used as temporary memory during
calculations and thus their contents could get
overwritten during a calculation.
9
Variables A to F, X and Y are cleared when you
select REG mode and choose a regression type
(Lin, Log, Exp, Pwr, Inv, Quad). They are also
cleared if you switch to another regression type.
Technical Data
■ Troubleshooting
If the result of a calculation is not what you expected,
or if an error occurs please carry out the following
steps.
1. Press the H H (Mode) B keys in that
order to reset all modes and settings.
2. Check that the formula or expression you
entered is correct.
3. Select the correct mode and try the calculation again.
If the problem persists, press [on| . The calculator will
perform a self-check and, if an abnormality is found,
clear all stored data. For this reason, you should
always have a copy of all important information kept
separate from the calculator.
............
29
■ Error Messages
If an error message occurs, the calculator stops running
immediately. Press® to clear the error message, or
press® or Bto redisplay the calculation so that you can
correct it.
Math ERROR
Causes elhe result exceeds the calculator's
Correction «Check that the input value is v/ithin theallowable
Stack ERROR
Causes «The capacity of the number stack or
Corredion*Simplify the calculation.
_______________________________________
computational range.
*You tried to enter a value that exceeds the
calculator's input range.
•The operation requested is not mathematically
valid (for example, dividing byO).
input range. If you are using memory variables,
check that the stored values will not cause the
calculator to exceed its computational range.
_______________________________________
operator stack has been exceeded. The
number stack can have 10 levels while the
operator stack can have 24.
•Break up the calculation into two or more parts.
Syntax ERROR______________________________________
Causes «The number entered or operator selected was
Correction• Press ® or [►] to redisplay the calculation.
not expected or was not in the correct form.
The cursor will be at the place where the
error occurred. Correct the problem and
then proceed.
Arg ERROR
Causes «The parameter you entered was not expected
Correction «Press ® or E to redisplay the calculation.
or was not in the correct form.
The cursor will be at the place where the error
occurred. Correct the problem and then
proceed.
30
Input Range
Functions Input Range
OS |x|s4.499999999x 10'°
DEG
sinx
cosa:
tanx
sin“'x
cos“'x
tan'x 0s|x|s9.999999999xl0”
sinhx
coshx
sinh 'x Os 1x1 s4.999999999X10”
cosh'x isx:
tanhx Os|x
tanh'x 0s|x|s9.999999999xi0 '
Logx/Inx
10*
X
e
Jx 0sx<lxl0'°°
0s|a:|s785398163.3
RAD
GRA
OS WS4.999999999X 10'°
DEG
0sWs4.500000008xl0'°
0s|a:|s785398164.9
RAD
GRA OS |x| S4.9999999999X 10'°
Same as sinx, except when
DEG
|x|= (2n-l)X90
Same as sinx, except when
GRA
|x|= (2n-l)X
Same as sinx, except when
RAD
1x1= (2n-l)X100
0s|x;|sl
OS |x:|s 230.2585092
S4.999999999X10”
|s9.999999999X10”
0<xs9.999999999xl0”
-9.999999999 X10” sxs 99.999999999
-9.999999999 X10” s xs 230.2585092
|x|<lX10“
31
\/ X
n
X!
nPr
nCr
?o\(x,y)
Rec(r,0)
a b/c
SD
(REG)
W<1X10'°°; ;c7^0
|x|<lX10'°°
0s^s69 {x is an integer)
Osn<l xl0'°,0srsn
(n,r are integers)
ls{n//(n-r)/}<lXlO'°°
Osn<l X10'°,0srsn
(n,r are integers)
ls[n//{r/(n-r)/} ]<1X10'°°
W,|y| 39.999999999X10"
(x^+y^)s9.999999999x 10”
03r39.999999999xl0”
0: Same as for sinx
|a|, b, c<l XlO'“ 03b, c
W< 1X10'°°
Decimal<->Sexagesimal Conversions
0” 0° 0°3|x|3999999“ 59“
x>0 : — 1 X10'°°<ylogx<l 00
x=0 : y>0
x<0 : y=n, 2^+1 integer)
However: — 1 X10'°°<ylog|x:|<100
y>0 : XT^O
-lX10'°°<l/xlogy<100
y=0 : x>0
y<0 : x=2n+l, {n^0,n \s an integer)
However : — 1 X 10'°°<l/x log |y|<l 00
The total number of integer, numerator, and
denominator digits must be 10 or less (including
division matics)
|x|<lX10°° xon , yan , X, y : n¥=0
|y|<l X10“ xon-i ,y on-1 ,A,B,r: n^0,l
n<lX10'°°
32
"it Each operation is accurate to ± 1 in the 10th digit.
However, calculations involving multiple
operations will cause the error to accumulate. This
is also observed with internal calculations
involving multiple operations such as 3fy,
x!, ]f~, nPr, nCr and the like.
Note that the error may be greater near an
inflection point of a function.
■ Sequence of Operations
Calculations are carried out in the following order:
® Coordinate transformations:Pol(x,i/),Rec(r,6)
@ A-type functions:
These are functions where a value must be entered
before you press a function key.
x^, x^, x \ xl, X, 3ci, 3c2, y
Converting angular values ( DRG^)
® Mathematical power and root: '‘(x*),
® a b/c
©InTT, e(base of natural logarithm), implied
multiplication involving a memory or variable
name : lit, 3e, 5A, ttA etc.
® B-type functions
These are functions where a function key must be
pressed before a value is entered.
ton“', sinh, cosh, tonh, sinh“', cosh', tanh', ( —)
log, In, e*, 10*, sin, cos, tan, sin ', cos ',
(Z) Implied multiplication preceding a B-type function:
2VJ, Alog2 etc.
® Permutations and combinations:nPr, nCr
33
X , -h
I In an expression where two components hove the some
priority, the calculation is performed from right to left.
e*ln^l20 - e* (In ( 120))
I Other calculations will be carried out from left to right.
I Calculations in parentheses ore performed first.
I If the calculation includes o parameter with o
negative number, the negative number should be in
parentheses. Since a minus sign (—) is considered
a B-type function, care is needed when negative
numbers are included in A-type functions,
mathematical powers or root operations.
Example: (~3)
-3'
= 81
= -81
■ Stack
This "stack" is an area of memory used to temporarily
save values (the number stack) and the order of
operations (the operator stack) during the calculation.
The number stack has a maximum capacity of 10
while the operotor stock has a maximum capacity of
24. If a calculation exceeds the stack capacity, a
Stack ERROR will occur.
Example:
2 X 3 + 4 X
5 + 6 7)^8) + 9 =
oee d e® e
34
2
3
®
4
@ 5
©
6
The calculation will be carried out in the order described
in Sequence of Operations. During the course of o
calculation, the number and order stacks ore cleared.
X
O
e
(
e
(
+
o
X
e
o
(
+
9
■ Automatic Power-Saver
If you hove not used the calculator for 5 minutes, it will
automatically turn off. Press S to turn it on again.
Specifications
Power:
- Solar Cell: Built into the front of the calculator
- Button Cell: One (1) Alkaline button battery (LR44)
Battery Life: Standby (ON but no calculation) about 3
Dimensions: 152 x 81 x 13 mm (unit)
Weight: 93g (unit)
Operating Temperature: Ot:
years; OFF about 5 yeors.
153.96 X 80.72 X 16.4 mm (with protective
case)
120g (with protective case)
4013
35
^ Disposal of Waste Equipment by Users in Private
Households in the European Union
This symbol on the product or
packaging indicates that this product
must not be disposed of with your other
household waste. Instead, it is your
responsibility to dispose of the product
by handing it over to o designated
collection point for the recycling of
. waste electrical and electronic
equipment. The separate collection
and recycling of yourwaste equipment
conserve natural resources and ensure that it is recycled in a
manner that protects human health and the environment. For
more information about where you can drop off your waste
equipment for recycling, please contact your local city office,
your household waste disposal service or the shop where you
purchased the product.
at the time of disposal will help to
36
Regulatory Notices
Federal Communications Commission Notice
This equipment has been tested and found to comply
with the limits for o Class B digital device, pursuant to
Part 15 of the FCC Rules.These limits ore designed to
provide reasonable protection against harmful
interference in a residential installation. This equipment
generates, uses, and can radiate radio frequency
energy and, if not installed and used in accordance
with the instructions, may cause harmful interference to
radio communications. However, there is no guarantee
that interference will not occur in a particular
installation. If this equipment does cause harmful
interference to radio or television reception, which can
be determined by turning the equipment off and on, the
user is encouraged to try to correct the interference by
one or more of the following measures:
9 Reorient or relocate the receiving antenna.
9 Increase the separation between the equipment and
the receiver.
9
Consult the dealer or an experienced radio or
television technician for help.
Modifications
The FCC requires the user to be notified that any
changes or modifications made to this device that are
not expressly approved by Hewlett-Packard Company
may void the user's authority to operate the equipment.
Declaration of Conformity for Products Marked with
FCC Logo, United States Only
This device complies with Part 15 of the FCC Rules.
Operation is subject to the following 2 conditions:
1. This device may not cause harmful interference.
2. This device must accept any interference received,
including interference that may cause undesired
operation.
37
If you have any questions about the product that are not
related to this declaration, write to
Hewlett-Packard Company
P. O. Box 692000, Mail Stop 530113
Houston, TX 77269-2000
For questions regarding this FCC declaration, write to
Hewlett-Packard Company
P. O. Box 692000, Mail Stop 510101
Houston, TX 77269-2000
or call HP at 281-514-3333
To identify your product, refer to the part, series, or
model number located on the product.
Canadian Notice
This Class B digital apparatus meets all requirements of the
Canadian Interference-Causing Equipment Regulations.
Avis Canadien
Cet appareil numérique de la classe B respecte toutes
les exigences du Règlement sur le matériel brouilleur du
Canada.
European Union Regulatory Notice
This product complies with the following EU Directives:
Low Voltage Directive 2006/95/EC
EMC Directive 2004/108/EC
Compliance with these directives implies conformity to
applicable harmonized European standards (European
Norms) which are listed on the EU Declaration of
Conformity issued by Hewlett-Packard for this product
or product family. This compliance is indicated by the
following conformity marking placed on the product:
C€
lonfzsd TaJacom prodacta (a.g. Bluatoolh).
Hewlett-Packard GmbH, HQ-TRE, Herrenberger Strasse
140, 71034 Boeblingen, Germany
C€ xxxx* ©
38
JAPANESE NOTICE
«è (vcci) ®S2pt*-3<
№i: U'CV''S't'i5^i cogg^Sy 1/ t'ÿ g :/
gît« tæ® L TÆffl è tL î> i, gît e» êr 51 # e r
't'i i №h il Si".
i*ti«ÉoTiEuv'mt)mv'èu-cTèv'„
Warranty Statement
HP 10s scientific calculator; Warranty period: 12
months
1. HP warrants to you, the end-user customer, that
HP hardware, accessories and supplies will be
free from defects in materials and workmanship
after the date of purchase, for the period specified
above.
2. If HP receives notice of such defects during the
warranty period, HP will, at its option, either
repair or replace products which prove to be
defective. Replacement products may be either
new or like-new.
For complete warranty information by country
please go to
FOR CONSUMER TRANSACTIONS IN AUSTRALIA
AND NEW ZEALAND: THE WARRANTY TERMS
CONTAINED IN THIS STATEMENT, EXCEPT TO THE
EXTENT LAWFULLY PERMITTED, DO NOT EXCLUDE,
RESTRICT OR MODIFY AND ARE IN ADDITION TO
THE MANDATORY STATUTORY RIGHTS APPLICABLE
TO THE SALE OF THIS PRODUCT TO YOU.
http://www.hp.com/calculators.
39
Customer Support
Asia Pacific
Country:
Australia 1300-551-664 or 03-9841-5211
China 010-68002397
Hong Kong
Indonesia +65 6100 6682
Japan
Malaysia +65 6100 6682
New Zealand 09-574-2700
Philippines +65 6100 6682
Singapore 6100 6682
South Korea 2-561-2700
Tai^wtn +852 2805-2563
Thailand +65 6100 6682
Vietnam
Telephone numbers
2805-2563
+852 2805-2563
+65 6100 6682
Europe Country: Telephone numbers
Austria 01 360 277 1203
Belgium 02 620 00 85 or 02 620 00 86
Czech Republic
Denmark 82 33 28 44
Finland
France 01 4993 9006
Germany 069 9530 7103
Greece 210 969 6421
Netherlands
Ireland 01 605 0356
Italy 02 754 19 782
Luxembourg 2730 2146
Norway 23500027
Portugal 021 318 0093
Russia 495 228 3050
296 335 612
09 8171 0281
020 654 5301
40
Country: Telephone numbers
South Africa 0800980410
Spain 913753382
Sweden
Switzerland
United Kingdom 0207 458 0161
08 5199 2065
022 827 8780 (French)
01 439 5358 (Gennan)
022 567 5308 (ItaUan)
L.Amerlca Country: Telephone numbers
Anguila 1-800-711-2884
Antigua 1-800-711-2884
Argentina 0-800- 555-5000
Aruba 800-8000 or 800-711-2884
Bahamas 1-800-711-2884
Barbados 1-800-711-2884
Bermuda 1-800-711-2884
Bolivia 800-100-193
Brazil
British Virgin
Islands
Cayman Island
Curacao 001-800-872-2881 or 800-711-2884
Chile 800-360-999
Colombia 01-8000-51-4746-8368
Costa Rica 0-800-011-0524
Dominica 1-800-711-2884
Dominican
Republic
Ecuador 1-999-119 or 800-711-2884
El Salvador 800-6160
French Antilles 0-800-990-011 or 800-711-2884
0-800-709-7751
1-800-711-2884
1-800-711-2884
(01-8000-51- HP INVENT)
1-800-711-2884
(Andinate^
1-800-225-528 or
800-711-2884 (Pacifitel)
41
Country: Telephone numbers
French Guiana 0-800-990-011 or 800-711-2884
Grenada 1-800-711-2884
Guadelupe 0-800-990-011 or 800-711-2884
Guatemala 1-800-999-5105
Guyana 159-800-711-2884
Haiti 183-800-711-2884
Honduras 800-0-123 or 800-711-2884
Jamaica 1-800-711-2884
Martinica 0-800-990-011 or 877-219-8671
Mexico 01-800-474-68368
Montserrat 1-800-711-2884
Netherland
Antilles
Nicaragua 1-800-0164 or 800-711-2884
Panama 001-800-711-2884
Paraguay (009) 800-541-0006
Peru 0-800-10111
Puerto Rico 1-877 232 0589
St Lucia
St Vincent 01-800-711-2884
St Kitts & Nevis 1-800-711-2884
St Marteen 1-800-711-2884
Suriname 156-800-711-2884
Trinidad &
Tobago
Turks & Caicos 01-800-711-2884
US Virgin Islands 1-800-711-2884
Uruguay 0004-054-177
Venezuela 0-800-474-68368
(800 HP INVENT)
001-800-872-2881 or 800-711-2884
1-800-478-4602
1-800-711-2884
(0-800 HP INVENT)
42
Country: Telephone numbers
Canada 800-HP-INVENT
USA (905) 206-4663 or 800-HP INVENT
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