Ativa AT-30S $EGREES -INUTES 3ECONDS #ALCULATIONS, Xample Peration $ISPLAY, Ndependentt-Emory

Page 2

$EGREES -INUTES 3ECONDS #ALCULATIONS

9OU CAN PERFORM SEXAGESIMAL CALCULATIONS USING DEGREES HOURS MINUTES AND SECONDS AND CONVERT BETWEEN SEXAGESIMALEANDIDECIMAL VALUES

%XAMPLE

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4OOEXPRESSSDEGREES

;Žg =;=

 

ŽŽ

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!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 ;-/$%=KEY A NUMBER OF TIMES UNTIL YOU REACH THE SETUP SCREENESHOWN BELOW

&IXI3CI .ORM   

s 0RESS THE NUMBER KEY ;= ;= OR ;= THAT CORRESPONDS TO THE SETUPTITEM YOU WANTWTOOCHANGE

;= &IX  .UMBER.OF DECIMAL PLACES

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;= .ORM  %XPONENTIAL DISPLAYYFORMAT

 

 

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4HE INTERMEDIATEERESULTUIS AUTOMATICALLY

 

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THEHSPECIFIEDETHREE

 

 

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; =

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SINIŽg

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(YPERBOLIC)NVERSE (YPERBOLICP&UNCTIONS

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

$ISPLAY

 

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SINH 

;HYP=;SIN=  ;=



 

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;HYP=;COS=S ;=



 

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R G

4HE ANSWER IS EXPRESSED

 

 



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WHAT AREEX AND Y

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%NGINEERINGE.OTATION #ALCULATIONS

 

 

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nn n

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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

;3()&4==;335-=;=

 

y

;3()&4==;335-=;=

 

o

;3()&4==;335-=;=

 

z

;3()&4==;335-=; ==;=

 

z

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yz

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y

;3()&4==;335-=; ==; ==;=

 

yz

;3()&4==;335-=; ==; ==;=

 

y

;3()&4==;335-=; ==; ==;=

 

 

 

;3()&4==;36!2=2;=

 

y

 

yΣN

;3()&4==;36!2=2;=

 

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;3()&4==;36!2=2;=

 

 

 

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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; ==; ==;=

 

 

y

;3()&4==;36!2=2; ==; ==; ==;=

 

 

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; ==; ==;=

 

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 -EMORYYCONTENTSTBYYSTORINGITHEGRESULT

s )N ADDITION TO ;= !NSWER -EMORY CONTENTS ARE ALSO UPDATED WITH RESULT WHENEVER YOU PRESS ;3()&4= ;= ;- = ;3()&4= ;-n=OR ;3()&4= ;34/= FOLLOWED BY A LETTER ! THROUGH & OR - 8 ORO9 

s 9OU CAN RECALLA!NSWER -EMORYYCONTENTSTBYYPRESSING ;!NS=

s !NSWER -EMORY CAN STORE UP TO  DIGITS FOR THE MANTISSA ANDNTWOODIGITS FOR THE EXPONENT

s !NSWER -EMORY CONTENTS ARE NOT UPDATED IF THE OPERATION PERFORMED BY ANY OF THE ABOVE KEY OPERATIONS RESULT IN AN ERROR

#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

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N0R N#R AND Ž gggg

 

 

 

 

)NDEPENDENTT-EMORY

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s )NDEPENDENT MEMORY USES THE SAME MEMORY AREA AS VARIABLE -

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6ARIABLES

s 4HERE ARE NINE VARIABLES ! THROUGH & - 8 AND 9 WHICH CAN BE USEDUTOOSTOREEDATA CONSTANTS RESULTS AND OTHER VALUES

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 ;-/$%=KEY TO ENTER THE #/-0 -ODE WHEN YOU WANT TOOPERFORM BASIC CALCULATIONSA;-/$%= ;= 

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

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$EGE2AD 'RA   

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Ž  Π RADIANS   GRADS

nn n

#OMMONMANDN.ATURAL ,OGARITHMS!NTILOGARITHMS

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

$ISPLAY

 

 

%XAMPLE

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LOG )N

;LOG=

;)N==;=

 



 



 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

  

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3QUAREE2OOTS #UBE 2OOTS 2OOTS

 

 

 

 

 

 

 

3QUARES #UBES 2ECIPROCALS

 

 

 

 

 

 

 

 

 

 

 

 

 

&ACTORIALS 2ANDOMD.UMBERS Π

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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;=;n =; =;X=;=

 



 

 

 

  

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n n

;=;Xn=;

 

 

=;Xn=; =

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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2ANDOMDNUMBER

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GENERATIONINUMBERIS

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

RANDOM

 

IN THE RANGE OFEFTO

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 



 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Π  

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nn n

 

 

 

 

 

 

 

 

0ERMUTATION AND #OMBINATION

 

 

 

 

 

 

 

 

 

4OTAL NUMBERNOF PERMUTATIONSFN0RR NN

 

R 

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4OTAL NUMBERNOF COMBINATIONSAN#RIONRN

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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4AKINGNANYYFOURUOUT OF

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TEN ITEMSMAND ARRANGING

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

THEM INMA ROW HOWWMANY

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

DIFFERENTNARRANGEMENTS

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

AREEPOSSIBLE

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

0  

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

5SING ANYYFOURUNUMBERS

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FROM  TOO HOWWMANY

;=

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

FOURUDIGITDEVEN NUMBERS

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

CANABE FORMEDMIF NONEIOF

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

THEHFOURUDIGITS CONSIST OF

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

THEHSAME NUMBER

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 OFTHEOTOTAL NUMBER

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

OF PERMUTATIONSUWILL BE

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

EVEN

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

0   

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

)FFANYYFOURUITEMSMARE

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REMOVED FROM A TOTAL

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

OF  ITEMS HOWWMANY

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

DIFFERENTNCOMBINATIONS

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

OF FOURUITEMSMARE

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

POSSIBLE

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

#  

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

)FF CLASSCOFFICERSRARE

;N#R=;

 

 

=;N#R=;=

 



 

 

 

 

BEINGISELECTED FOR A

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

CLASSAOF  BOYSSAND

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 GIRLS HOWWMANY

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

COMBINATIONSAARE

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

POSSIBLEI!TTLEASTEONE

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

GIRL MUST BE INCLUDED

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

IN EACHEGROUP

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

#

 

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!NGLE 5NIT #ONVERSION

ss0RESS ;3()&4==;$2' = TOODISPLAYYTHETFOLLOWING MENU

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nn n

3TANDARDD$EVIATION

5SE THE ;-/$%=KEY TO ENTER THE 3$ -ODE WHEN YOU WANT TO PERFORM STATISTICAL CALCULATIONS USING STANDARD DEVIATION ;-/$%= ;= 

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4OORECALLATHIS TYPEPOF VALUE

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;3()&4=;335-=;=

 

 

 

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;$4=;$4=;$4=;$4=

 

 

;$4=



7HAT ISTDEVIATIONDOF THE

;3()&4=;335-=;=.UMBERMOF DATA



UNBIASED VARIANCE AND

;3()&4=;335-=;=3UMOF DATA



THEHMEAN OFETHENABOVE

;3()&4=;335-=;=



DATA

3UM OFMSQUAREEOF DATA

 

 

 

 

;3()&4=;36!2=;=-EAN



 

;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 

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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 ;-/$%=KEY TO ENTER THE 2%' -ODE WHEN YOU WANT TO PERFORMRSTATISTICALTCALCULATIONS USING REGRESSION ;-/$%= ;=  s %NTERING THE 2%' -ODE DISPLAYS SCREENS LIKE THE ONES SHOWN

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

 

 

 

 

$ISPLAY

4EMPERATUREEANDALENGTH

;-/$%=;=;=

 

 

 

 

 



OF A STEELEBAR

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4EMP

,ENGTH

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Ž#

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5SING THIS TABLE THE

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REGRESSION FORMULA AND

2EGRESSION COEFFICIENT !

 

 

 

 



CORRELATIONTCOEFFICIENT

;3()&4=;36!2=;

=;

=;=;=

2EGRESSION COEFFICIENT "

 

 

 

 

 

CANABE OBTAINED "ASED

 

 

 

 

 

;3()&4=;36!2=;

=;

=;=;=



ON THE COEFFICIENT

#ORRELATIONTCOEFFICIENT s

 

 

 

 

 

FORMULA THE LENGTHLOF

;3()&4=;36!2=;

 

=; =;

=

 

THEHSTEELEBAR AT Ž#

 

 

;=;=,ENGTHGAT Ž#

 

 

 

 



ANDNTHE TEMPERATURE

 

 

 

 

;3()&4=;36!2=;

=;

 

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AT MMCANBE

 

 

;

=;=;=4EMPMAT MM

 



ESTIMATED &URTHERMORE

 

;3()&4=;36!2=;

=;

=;=;X=

 

THEHCRITICAL COEFFICIENT

;=#RITICALTCOEFFICIENT

 

 

 

 



s ANDACOVARIANCEECAN

 

 

 

 

;=;3()&4=;335-=;

 

=;=;

 

=

 

 

 

 

ALSO BEOCALCULATED

;3()&4=;335-=; =;3()&4=

 

 

 

 

 

 

 

 

;36!2=;=;

=;3()&4=;36!2=

 

 

 

 

;

=;=; =;

=;=;3()&4=;335-=

 

 

 

;=;

 

=; =;=#OVARIANCE

 



 

 

 

 

,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

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$ISPLAY

yj

zj

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;3()&4=;#,2=;=;= 3TATTCLEAR







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; =;$4=

 

 







 

 

; =;$4=

 

 



4HROUGH QUADRATIC

 

 

; =;$4=

 

 



REGRESSION OFOTHE ABOVE

 

 

DATA THE REGRESSION

; =;$4=

 

 



FORMULAUANDACORRELATION

;3()&4=;36!2=; =; =;=;=

n

COEFFICIENTCAREEOBTAINED

2EGRESSION COEFFICIENT !

 

 

 

&URTHERMORE THE

;3()&4=;36!2=;

=;

=;=;=



REGRESSION FORMULA IS

2EGRESSION COEFFICIENT "

 

 

 

USED TOOOBTAIN THE

;3()&4=;36!2=;

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RESPECTIVEEESTIMATED

2EGRESSION COEFFICIENT d

 

 

 

VALUESUOF z AND y WHEN

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=;

=;

=;=;=

n

yj  ANDzj 

z WHENHyj

 

 

 

 

 

 

;36!2=;

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y WHENHzj

 

 

 

 

 

 

;36!2=;

=;

=;

=;=;=



 

 

y WHENHzj

 

 

 

 

$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 -ERCURYT$O NOT 0UT INE4RASH 2ECYCLE ORO-ANAGES ASS (AZARDOUSA7ASTE $OSNOT7DISPOSEEOF BATTERIES INTFIRE IBATTERIES MAY EXPLODEPOR LEAK

!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 LR1130ŒX3MM BATTERY  3OLARBATTERY INCLUDED

/PERATINGITEMPERATURE Ž ^ Ž##Ž&&^ Ž&

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Image 2
Contents 3AFETYY0RECAUTIONS 4WOLINESI$ISPLAY UltistatementsNitializing the #ALCULATOR AtteriesXample Peration $ISPLAY 4OOREPLACEETHETBATTERY$EGREES -INUTES 3ECONDS #ALCULATIONS Xample Peration ,OWER