$EGREES -INUTES 3ECONDS #ALCULATIONS
9OU CAN PERFORM SEXAGESIMAL CALCULATIONS USING DEGREES HOURS MINUTES AND SECONDS AND CONVERT BETWEEN SEXAGESIMALEANDIDECIMAL VALUES
%XAMPLE | /PERATION |
| $ISPLAY |
4OOEXPRESSSDEGREES | ;g =;= |
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IN DEGMINSEC |
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4OOPERFORM THE CALCULATION | ;g;=;g=;g;=; | = |
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g | ;= |
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&)8 3#) 2.$
!S THE NUMBER OF DECIMAL PLACES IS SPECIFIED THE INTERMEDIATE RESULT WILL BE AUTOMATICALLY ROUNDED TO THE SPECIFIED DECIMAL PLACES (OWEVER THE STORED INTERMEDIATE RESULT IS NOT ROUNDED )N ORDER TO MATCH THE DISPLAYED VALUE AND THE STORED VALUE ;3()&4==;2.$= CAN BENINPUT
s 4O CHANGE THE SETTINGS FOR THE NUMBER OF DECIMAL PLACES THE NUMBER OF SIGNIFICANT DIGITS OR THE EXPONENTIAL DISPLAY FORMAT PRESS THE
&IXI3CI .ORM
s 0RESS THE NUMBER KEY ;= ;= OR ;= THAT CORRESPONDS TO THE SETUPTITEM YOU WANTWTOOCHANGE
;= &IX .UMBER.OF DECIMAL PLACES
;= 3CI C.UMBER OF.SIGNIFICANT DIGITS
;= .ORM %XPONENTIAL DISPLAYYFORMAT
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%XAMPLE | /PERATION | ,OWER |
| ; = ; ==;= | |
ROUNDED TOO DECIMAL | ||
PLACES |
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| 4HE INTERMEDIATEERESULTUIS AUTOMATICALLY | |
| ROUNDED TOOTHETSPECIFIEDPTHREE DECIMAL PLACES | |
ROUND THE STORED | ;3()&4==;2.$= | |
INTERMEDIATEERESULTUTO |
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THEHSPECIFIEDETHREE |
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DECIMALIPLACES |
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| UPPER DISPLAY |
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#ANCEL SPECIFICATION BY | ||
SPECIFYING .ORM AGAIN |
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| $ISPLAY |
| %XAMPLE | /PERATION | ,OWER | |||||||||
| SINIg |
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| ;SIN=I ; gg= =; gg= |
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| COS Π RAD D |
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| ;COS=;= ;3()&4=;Π=; = |
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| ;TAN=A;n = ;= | n | |||||
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| ;SIN= N;COS=S ;= | |||||||||||
| SINn | ;3()&4=;SINn==;= | ||||||||||
| COSn |
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| RAD | ;3()&4=;COSn=;=;= ; = |
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| Π RAD |
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| TANn |
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| | ;3()&4=;TANn=;= | ||||||||||
| g | ;3()&4==;κg = | | |||||||||
| SINn |
| COSn | ; | ==;=;;3()&4==;SINn= |
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| g | ; |
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| ;=;3()&4==;κg = | ||||||
(YPERBOLIC)NVERSE (YPERBOLICP&UNCTIONS |
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| $ISPLAY |
| %XAMPLE | /PERATION | ,OWER | |||||||||
| SINH | ;HYP=;SIN= ;= | ||||||||||
| COSH | ;HYP=;COS=S ;= | ||||||||||
| TANH | ;HYP=;TAN= ;= | ||||||||||
| COSH |
| SINH | ;HYP=;COS=S ; |
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| SINHn | ;HYP=;3()&4=;SINn== ;= | ||||||||||
| COSHn | ;HYP=;3()&4=;COSn=;= |
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| XX TANHn | ;HYP=;3()&4=;TANn= |
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| SINHn | COSHn | ;HYP=;3()&4=;SINn=; = |
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| ;HYP=;3()&4=;COSn=;= | |||||||||||
| SINHn TANHn | ;HYP=;3()&4=;SINn=;=; = |
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| ; =; | =;HYP=;3()&4=;TANn= |
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nn n
%XAMPLE | /PERATION |
| $ISPLAY |
$EFINEIDEGREE FIRST |
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#HANGE GRADIANITO | ;3()&4=;$2' | =;=;= | R |
DEGREE |
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4OOPERFORM THE FOLLOWING | ;3()&4=;$2' | =;=;= |
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CALCULATIONL | ; =;3()&4=;;$2' = |
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RADIANSSGRADIENTS | ;=;= |
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4HE ANSWER IS EXPRESSED |
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IN DEGREE |
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#OORDINATE #ONVERSION [0OLy z 2ECs ]
s #ALCULATION RESULTS ARE AUTOMATICALLY ASSIGNED TO VARIABLES % ANDN&
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%XAMPLE | /PERATION | ,OWER | |
yAND z WHAT |
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ARE sAND | | ;0OL= ;=; =;= | s |
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y AND zn WHAT |
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ARE sAND | RAD | ;0OL=;=;n=; =;= | s |
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| ;2#,=;&= | n |
s 0RESS ;2#,= ;%= TO DISPLAY VALUE OF s OR ;2#,= ;&= TO DISPLAY VALUE OFE
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%XAMPLE | /PERATION | ,OWER |
sAND WHAT |
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AREEX AND Y | ;3()&4=;2EC=C;=; =;= | y |
| ;2#,=;&= | z |
s AND Π RAD |
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WHAT AREEX AND Y | ;3()&4=;2EC=;=;=; = |
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| ; =;3()&4=;Π=; =; =;= | ny |
| ;2#,=;&= | z |
s 0RESS ;2#,= ;%= TO DISPLAY VALUE OF y OR ;2#,= ;&= TO DISPLAY VALUE OFEz
%NGINEERINGE.OTATION #ALCULATIONS
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| $ISPLAY |
%XAMPLE | /PERATION | ,OWER |
M M | ; = ;= | |
KM | ;%.'= | |
G G | ; =;= | |
KG | ;3()&4==;%.'= |
nn n
s !LWAYS START DATA INPUT WITH ;3()&4= ;#,2= ;= ;= TO CLEAR STATISTICALSMEMORY
ss)NPUTNDATA USING THE KEY SEQUENCEESHOWN BELOW yDATA ;= zDATA ;$4=
s 4HE VALUES PRODUCED BY A REGRESSION CALCULATION DEPEND ON THE VALUES INPUT AND RESULTS CAN BE RECALLED USING THE KEY OPERATIONS SHOWN IN THENTABLEHBELOW
4OORECALLATHIS TYPEPOF VALUE | 0ERFORMRTHIS KEYYOPERATION | ||
| ⁄y | ||
| ⁄y | ||
| o | ||
| ⁄z | ||
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| ⁄yz | ||
| ⁄y | ||
| ⁄yz | ||
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| ;3()&4==;36!2=2;= |
| y | ||
| yΣN | ;3()&4==;36!2=2;= | |
| yΣNn | ;3()&4==;36!2=2;= | |
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| ;3()&4==;36!2=2; ==;= |
| z | ||
| zΣN | ;3()&4==;36!2=2; ==;= | |
| zΣNn | ;3()&4==;36!2=2; ==;= | |
2EGRESSION COEFFICIENT ! | ;3()&4==;36!2=2; ==; ==;= | ||
2EGRESSION COEFFICIENT " | ;3()&4==;36!2=2; ==; ==;= | ||
2EGRESSION CALCULATION OTHER THANTQUADRATIC REGRESSION | |||
#ORRELATIONTCOEFFICIENT s | ;3()&4==;36!2=2; ==; ==;= | ||
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| y | ;3()&4==;36!2=2; ==; ==; ==;= |
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| z | ;3()&4==;36!2=2; ==; ==; ==;= |
s 4HE FOLLOWING TABLE SHOWS THE KEY OPERATIONS YOU SHOULD USE TOORECALLARESULTS INTTHE CASE OFTQUADRATIC REGRESSION
4OORECALLATHIS TYPEPOF VALUE | 0ERFORMRTHIS KEYYOPERATION | |||
2EGRESSION COEFFINIENT # | ;3()&4==;36!2=2; ==; ==;= |
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y2 | ;3()&4==;36!2=2; ==; ==; ==;= | |||
y3 | ;3()&4==;36!2=2; | ==; | ==; | ==;= |
z | ;3()&4==;36!2=2; | ==; | ==; | ==;= |
s 4HE VALUES IN THE ABOVE TABLES CAN BE USED INSIDE OF EXPRESSIONSITHENSAME WAYYYOU USE VARIABLES
nn n
-EMORYY#ALCULATIONS
!NSWER -EMORY
s 7HENEVER YOU PRESS ;= AFTER INPUTTING VALUES OR AN EXPRESSION THE CALCULATED RESULT AUTOMATICALLY UPDATES !NSWER
s )N ADDITION TO ;= !NSWER
s 9OU CAN RECALLA!NSWER
s !NSWER
s !NSWER
#ONSECUTIVEE#ALCULATIONS
s ! CALCULATION RESULT PRODUCED BY PRESSING ;= CAN BE USED IN THEHNEXTTCALCULATION
s 4HE RESULT OF A CALCULATION CAN ALSO BE USED WITH A
SUBSEQUENT 4YPE ! FUNCTION X X Xn X |
| } | XY X | ||
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N0R N#R AND gggg |
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)NDEPENDENTT-EMORY
s 6ALUES CAN BE INPUT DIRECTLY INTO MEMORY ADDED TO MEMORY OR SUBSTRACTED FROM MEMORY )NDEPENDENT MEMORY IS CONVENIENT FOR CALCULATING CUMULATIVEETOTALS
s )NDEPENDENT MEMORY USES THE SAME MEMORY AREA AS VARIABLE -
s 4OOCLEARLINDEPENDENTNMEMORYY- INPUT ;=;3()&4==;34/=
%XAMPLE )NPUT TOOINDEPENDENTPMEMORY |
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!#= ;= ;= ;= | ? | E |
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E | ||
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2ECALL MEMORYYDATA |
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;!#= | ? | E |
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!DD SUBTRACTT |
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2ECALL MEMORYYDATA |
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;!#= | ? | E |
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6ARIABLES
s 4HERE ARE NINE VARIABLES ! THROUGH &
s 5SE THE FOLLOWING OPERATION TO DELETE DATA ASSIGNED TO A PARTICULAR VARIABLE ;= ;3()&4= ;34/= ;!= 4HIS OPERATION DELETES THE DATAEASSIGNED TOOVARIABLEA!
s 0ERFORM THE FOLLOWING KEY OPERATION WHEN YOU WANT TO CLEAR THE VALUES ASSIGNED TO ALL OF THE VARIABLES ;3()&4= ;#,2= ;=
;=
3CIENTIFICF&UNCTION #ALCULATIONS
5SE THE
s #ERTAIN TYPES OF CALCULATIONS MAY TAKE A LONG TIME TO COMPLETE
s 7AIT FOR THE RESULT TO APPEAR ON THE DISPLAY BEFORE STARTING THEHNEXTTCALCULATION
sΠ
4RIGONOMETRIC)NVERSE 4RIGONOMETRICM&UNCTIONS
s 4O CHANGE THE DEFAULT ANGLE UNIT DEGREES RADIANS GRADS
PRESS THE
$EGE2AD 'RA
s 0RESS THE NUMBER KEY ;= ;= OR ;= THAT CORRESPONDS TO THE ANGLEGUNIT YOU WANTWTOOUSE
Π RADIANS GRADS
nn n
#OMMONMANDN.ATURAL ,OGARITHMS!NTILOGARITHMS
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| %XAMPLE | /PERATION |
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| ,OWER | |||||||||||||||
| LOG | ;LOG=O ;= |
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| )N | ;)N= =;= |
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| LOG )N | ;LOG= | ;)N==;= |
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| E | ;3()&4=;EX=;= |
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| ssEn s | ;3()&4=;X=; |
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| ;n =; | =; |
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| n | ;=;n = ; = ; | } | == ;= |
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| n n | ;n =n ; | } | == ;= |
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3QUAREE2OOTS #UBE 2OOTS 2OOTS |
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3QUARES #UBES 2ECIPROCALS |
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&ACTORIALS 2ANDOMD.UMBERS Π |
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| $ISPLAY |
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| %XAMPLE | /PERATION |
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| ,OWER | |||||||||||||||
| | ;=; =;=;= |
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| n | ;3()&4=;=; |
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| n | ;=;n =; =;= |
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| n n | ;=;Xn=; |
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| 2ANDOMDNUMBER | ;3()&4=;2AN=;= |
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| GENERATIONINUMBERIS |
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| Π | ;3()&4=Π;= |
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0ERMUTATION AND #OMBINATION |
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4OTAL NUMBERNOF PERMUTATIONSFN0RR NN |
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4OTAL NUMBERNOF COMBINATIONSAN#RIONRN |
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| %XAMPLE | /PERATION |
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| 4AKINGNANYYFOURUOUT OF | ;3()&4=;N0R=;= |
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| TEN ITEMSMAND ARRANGING |
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| 5SING ANYYFOURUNUMBERS | ;3()&4=;N0R=; | =; = |
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| FROM TOO HOWWMANY | ;= |
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| CANABE FORMEDMIF NONEIOF |
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| THEHFOURUDIGITS CONSIST OF |
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| )FFANYYFOURUITEMSMARE | ;N#R=;= |
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| )FF CLASSCOFFICERSRARE | ;N#R=; |
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| BEINGISELECTED FOR A |
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| CLASSAOF BOYSSAND |
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| GIRLS HOWWMANY |
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| COMBINATIONSAARE |
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| POSSIBLEI!TTLEASTEONE |
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| GIRL MUST BE INCLUDED |
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| IN EACHEGROUP |
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| # |
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!NGLE 5NIT #ONVERSION
ss0RESS ;3()&4==;$2' = TOODISPLAYYTHETFOLLOWING MENU
$$ | 2 | ' |
s0RESS ;= ;= OR ;= CONVERTS THE DISPLAYED VALUE TO THE CORRESPONDINGNANGLENUNIT
nn n
3TANDARDD$EVIATION
5SE THE
s !LWAYS START DATA INPUT WITH ;3()&4= ;#,2= ;= ;= TO CLEAR STATISTICALSMEMORYY3CL
ss)NPUTNDATA USING THE KEY SEQUENCEESHOWN BELOW yDATA ;$4=
s )NPUT DATA IS USED TO CALCULATE VALUES FOR o ⁄y ⁄y y o AND o 2
WHICHIYOU CAN RECALLAUSING THESKEY OPERATIONS NOTED NEARBY
4OORECALLATHIS TYPEPOF VALUE | 0ERFORMRTHIS KEYYOPERATION | ||
| ⁄y | ||
| ⁄y | ||
| o | ||
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| ;3()&4=;36!2=;= |
| y | ||
| Σo | ;3()&4=;36!2=;= | |
| Σo 2 | ;3()&4=;36!2=;= |
%XAMPLE | /PERATION | $ISPLAY |
$ATA | ||
| ;3()&4=;#,2=;=;= 3TATTCLEAR | |
| ;$4=;$4=;$4= |
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| ;$4=;$4=;$4=;$4= |
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| ;$4= | |
7HAT ISTDEVIATIONDOF THE | ||
UNBIASED VARIANCE AND | ||
THEHMEAN OFETHENABOVE | ||
DATA | 3UM OFMSQUAREEOF DATA |
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| ;3()&4=;36!2=;=0OPULATIONA3$ | |
| ;3()&4=;36!2=;=3AMPLEM3$ |
$ATA )NPUT 0RECAUTIONS
s ;$4==;$4= INPUTSPTHETSAME DATAETWICE
s 9OU CAN ALSO INPUT MULTIPLE ENTRIES OF THE SAME DATA USING ;3()&4= ;= 4O INPUT THE DATA TEN TIMES FOR EXAMPLE PRESS ;3()&4==;=; ;$4=
s 9OU CAN PERFORM THE ABOVE KEY OPERATIONS IN ANY ORDER AND NOTONECESSARILY THATLSHOWN ABOVE
s 7HILE INPUTTING DATA OR AFTER INPUTTING DATA IS COMPLETE YOU CAN USE THE ; = AND ; = KEYS TO SCROLL THROUGH DATA YOU HAVE INPUT )F YOU INPUT MULTIPLE ENTRIES OF THE SAME DATA USING ;3()&4= ;= TO SPECIFY THE DATA FREQUENCY NUMBER OF DAT ITEMS AS DESCRIBED ABOVE SCROLLING THROUGH DATA SHOWS BOTH THE DATA ITEM AND A SEPARATEESCREENEFOR THE DATAEFREQUENCYY&REQ
nn n
9OU CAN THEN EDIT THE DISPLAYED DATA IF YOU WANT )NPUT THE NEW VALUE AND THEN PRESS THE ;= KEY TO REPLACE THE OLD VALUE WITH THE NEW ONE
s 0RESSING THE ;$4= KEY INSTEAD OF ;= AFTER CHANGING A VALUE ON THE DISPLAY REGISTERS THE VALUE YOU INPUT AS A NEW DATA ITEM ANDNLEAVES THE OLD VALUE ASEIT IS
s 9OU CAN DELETE A DATA VALUE DISPLAYED USING ; = AND ; = BY PRESSING ;3()&4= ;#,= $ELETING A DATA VALUE CAUSES ALL VALUES FOLLOWING ITGTOOBE SHIFTED UP
s $ATA VALUES YOU REGISTER ARE NORMALLY STORED IN CALCULATOR MEMORY 4HE MESSAGE $ATA &ULL APPEARS AND YOU WILL NOT BE ABLE TO INPUT ANY MORE DATA IF THERE IS NO MEMORY LEFT FOR DATA STORAGE )F THIS HAPPENS PRESS THE ;= KEY TO DISPLAY THE SCREENESHOWN BELOW
%DIT/&&T /%3#
0RESS ;= TO EXIT DATA INPUT WITHOUT REGISTERING THE VALUE YOU JUST INPUT
0RESS ;= IF YOU WANT TO REGISTER THE VALUE YOU JUST INPUT WITHOUT SAVING IT IN MEMORY )F YOU DO THIS HOWEVER YOU WILL NOTOBE ABLEETOODISPLAYYOR EDIT ANYYOF THE DATAHYOU HAVEEINPUT
s 4OODELETEEDATA YOU HAVEEJUST INPUT PRESS ;3()&4==;#,=
2EGRESSION #ALCULATIONS
5SE THE
BELOW
,INI,OG %XP
0WRW)NV 1UAD
s 0RESS THE NUMBER KEY ;= ;= OR ;= THAT CORRESPONDS TO THE TYPE OF REGRESSION YOU WANTWTOOUSE
;= ,IN I | ,INEAR REGRESSION |
;= ,OG | ,OGARITHMICTREGRESSION |
;= %XP X | %XPONENTIALEREGRESSION |
;=;= 0WR W 0OWER REGRESSION
;=;= )NV )NVERSE REGRESSION
;==;= 1UAD 1UADRATIC REGRESSION
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,INEAR 2EGRESSION
4HE REGRESSION FORMULA FOR LINEARIREGRESSION IS Y Y! "y
%XAMPLE |
| /PERATION |
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| $ISPLAY | ||||
4EMPERATUREEANDALENGTH |
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OF A STEELEBAR | ,INEARNREGRESSION |
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4EMP | ,ENGTH | ;3()&4=;#,2=;=;= 3TATTCLEAR | |||||||||
# | MM | ;=;$4= |
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# | MM | ;=;$4= |
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# | MM | ;=;$4= |
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# | MM | ;=;$4= |
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# | MM | ;=;$4= |
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5SING THIS TABLE THE | ;3()&4=;36!2=; | =; | =;=;= | ||||||||
REGRESSION FORMULA AND | 2EGRESSION COEFFICIENT ! |
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CORRELATIONTCOEFFICIENT | ;3()&4=;36!2=; | =; | =;=;= | ||||||||
2EGRESSION COEFFICIENT " |
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CANABE OBTAINED "ASED |
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;3()&4=;36!2=; | =; | =;=;= | |||||||||
ON THE COEFFICIENT | #ORRELATIONTCOEFFICIENT s |
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FORMULA THE LENGTHLOF | ;3()&4=;36!2=; |
| =; =; | = |
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THEHSTEELEBAR AT # |
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;=;=,ENGTHGAT # |
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ANDNTHE TEMPERATURE |
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;3()&4=;36!2=; | =; |
| = |
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AT MMCANBE |
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; | =;=;=4EMPMAT MM |
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ESTIMATED &URTHERMORE |
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;3()&4=;36!2=; | =; | =;=;X= |
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THEHCRITICAL COEFFICIENT | ;=#RITICALTCOEFFICIENT |
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s ANDACOVARIANCEECAN |
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| =;=; |
| = |
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ALSO BEOCALCULATED |
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| ;36!2=;=; | =;3()&4=;36!2= |
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| ; | =;=; =; |
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| ;=; |
| =; =;=#OVARIANCE |
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,OGARITHMIC %XPONENTIAL 0OWER AND )NVERSE 2EGRESSION
ss5SE THE SAMEEKEY OPERATIONS ASNLINEAR REGRESSION TOORECALL RESULTS FOR THESE TYPES OFSREGRESSION
s 4HE FOLLOWING SHOWS THE REGRESSION FORMULASUFOR EACHETYPEPOF REGRESSION
,OGARITHMICT2EGRESSION | z ! | "s)Ny |
|
%XPONENTIALE2EGRESSION | z !sf"sy )N z LN ! | "y | |
0OWER 2EGRESSION | z !sy" )N z LN ! | ""LN y | |
)NVERSE 2EGRESSION | z ! | "sy |
|
1UADRATICI2EGRESSION
s 4HE REGRESSION FORMULA FOR QUADRATIC REGRESSION IS
z !"y#y
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%XAMPLE | /PERATION |
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| $ISPLAY | |||
yj | zj | =;= |
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1UADRATIC REGRESSION |
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;3()&4=;#,2=;=;= 3TATTCLEAR | |||||||
;=;$4= |
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;=;$4= |
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;=;$4= |
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4HROUGH QUADRATIC |
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;=;$4= |
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REGRESSION OFOTHE ABOVE |
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DATA THE REGRESSION | ;=;$4= |
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FORMULAUANDACORRELATION | ;3()&4=;36!2=; =; =;=;= | n | |||||
COEFFICIENTCAREEOBTAINED | 2EGRESSION COEFFICIENT ! |
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&URTHERMORE THE | ;3()&4=;36!2=; | =; | =;=;= | ||||
REGRESSION FORMULA IS | 2EGRESSION COEFFICIENT " |
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USED TOOOBTAIN THE | ;3()&4=;36!2=; | =; | =;=;= | nn | |||
RESPECTIVEEESTIMATED | 2EGRESSION COEFFICIENT d |
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VALUESUOF z AND y WHEN | ;36!2=; | =; | =; | =;=;= | n | ||
yj ANDzj | z WHENHyj |
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| ;36!2=; | =; | =; | =;=;= | ||
|
| y WHENHzj |
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| |
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| ;36!2=; | =; | =; | =;=;= | ||
|
| y WHENHzj |
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|
$ATA )NPUT 0RECAUTIONS
s ;$4==;$4= INPUTSPTHETSAME DATAETWICE
s 9OU CAN ALSO INPUT MULTIPLE ENTRIES OF THE SAME DATA USING ;3()&4= ;= 4O INPUT THE DATA AND FIVE TIMES FOR EXAMPLE PRESS ;= ;3()&4==;=;;$4=
s 4HE ABOVE RESULTS CAN BE OBTAINED IN ANY ORDER AND NOT NECESSARILY THATLSHOWN ABOVE
s 0RECAUTIONS WHEN EDITING DATA INPUT FOR STANDARD DEVIATION ALSO APPLY FOR REGRESSION CALCULATIONS
4OOREPLACEETHETBATTERY
s 2EMOVE THE TWO SCREWS THAT HOLD THE BACK COVER IN PLACE AND THEN REMOVEETHETBACK COVER
ss2EMOVEETHETOLDEBATTERY
s 7IPE OFF THE SIDE OF THE NEW BATTERY WITH A DRY SOFT CLOTH
,OADAIT INTOOTHETUNIT WITHNTHETPOSITIVE SIDE FACING UP
s 2EPLACEETHETBATTERYYCOVER AND SECUREEIT INTPLACEEWITH THE TWOOSCREWS ss0RESS ;/.= TOOTURN POWER ON
ss"ATTERYT#ONTAINS
!UTO 0OWER /FF
#ALCULATOR POWER AUTOMATICALLY TURNS OFF IF YOU DO NOT PERFORM ANY OPERATION FOR ABOUT SIX MINUTES 7HEN THIS HAPPENS PRESS ;/.= TOOTURN POWER BACKBON
3PECIFICATIONS
0OWER SUPPLYSINGLE LR1130X3MM BATTERY 3OLARBATTERY INCLUDED
/PERATINGITEMPERATURE ^ ##&&^ &
nn n