3/6
Statistical Calculations and Variables
4HEFOLLOWINGSTATISTICSCANBEOBTAINEDFOREACHSTATISTICAL
CALCULATIONREFERTOTHETABLEBELOW
Single-variable statistical calculation
Statistics of
and
.
Linear regression calculation
Statistics of
,
and
4
)NADDITIONTHEESTIMATEOF
y
for a given
x
ESTIMATE
y
|ANDTHEESTIMATEOF
x
for a given
y
ESTIMATE
x
|
Quadratic regression calculation
Statistics of
,
and
4
!NDCOEFlCIENTS
a
,
b
,
c
in the quadratic
REGRESSIONFORMULA
y
=
a
bx
cx
2
&ORQUADRATICREGRESSION
CALCULATIONSNOCORRELATIONCOEFlCIENT
r
CANBEOBTAINED
7HENTHEREARETWO
x
|VALUESEACHVALUEWILLBEDISPLAYEDWITHhv
ORhvANDSTOREDSEPARATELYINTHE8AND9MEMORIES
9OUCANALSOSPECIFYTHESTVALUE
x
ANDTHENDVALUE
x
SEPARATELY
Euler exponential regression, logarithmic regression,
power regression, inverse regression,
and general exponential regression calculations
Statistics of
,
and
4
)NADDITIONTHEESTIMATEOF
y
for a
given
x
and the estimate of
x
for a given
y
3INCETHECALCULATOR
converts each formula into a linear regression formula before actual
CALCULATIONTAKESPLACEITOBTAINSALLSTATISTICSEXCEPTCOEFlCIENTS
a
and
b
FROMCONVERTEDDATARATHERTHANENTEREDDATA
n
.UMBEROFSAMPLES
x
n
-EANOFSAMPLES
x
data
sx
3AMPLESTANDARDDEVIATION
x
data
s
x
3AMPLEVARIANCE
x
DATA
Vx
0OPULATIONSTANDARDDEVIATION
x
data
V
x
0OPULATIONVARIANCE
x
DATA
Ȉ
x
3UMOFSAMPLES
x
data
Ȉ
x
3UMOFSQUARESOFSAMPLES
x
data
xmin
-INIMUMVALUEOFSAMPLES
x
data
xmax
-AXIMUMVALUEOFSAMPLES
x
data
y
n
-EANOFSAMPLES
y
data
sy
3AMPLESTANDARDDEVIATION
y
data
s
y
3AMPLEVARIANCE
y
DATA
Vy
0OPULATIONSTANDARDDEVIATION
y
data
V
y
0OPULATIONVARIANCE
y
DATA
Ȉ
y
3UMOFSAMPLES
y
data
Ȉ
y
3UMOFSQUARESOFSAMPLES
y
data
Ȉ
x
y
3UMOFPRODUCTSOFSAMPLES
x
,
y
Ȉ
x
y
3UMOFPRODUCTSOFSAMPLES
x
,
y
Ȉ
x
3UMOFRDPOWERSOFSAMPLES
x
data
Ȉ
x
4
3UMOFTHPOWERSOFSAMPLES
x
data
ymin
-INIMUMVALUEOFSAMPLES
y
data
ymax
-AXIMUMVALUEOFSAMPLES
y
data
Q
&IRSTQUARTILEOFSAMPLE
x
data
Med
-EDIANOFSAMPLE
x
data
Q
4HIRDQUARTILEOFSAMPLE
x
data
4
r
#ORRELATIONCOEFFICIENT%XCEPT1UADRATICREGRESSION
a
#OEFFICIENTOFREGRESSIONEQUATION
b
#OEFFICIENTOFREGRESSIONEQUATION
c
#OEFFICIENTOFQUADRATICREGRESSIONEQUATION
R
#OEFFICIENTOFDETERMINATION1UADRATICREGRESSION
r
#OEFFICIENTOFDETERMINATION%XCEPT1UADRATICREGRESSION
STAT Menu
!FTERCLOSINGTHEINPUTTABLEYOUCANVIEWSTATISTICALVALUESVIEW
REGRESSIONCOEFlCIENTVALUESANDSPECIFYSTATISTICALVARIABLESFROM
34!4MENU
; 8
;
8
0$ISPLAYSTATISTICALVALUES
;
8
1$ISPLAYREGRESSIONCOEFlCIENTVALUES
;
8
23PECIFYSTATISTICALVALUEVARIABLES
;
8
3:
3PECIFYSTATISTICALVALUE
Ȉ
RELATEDVARIABLES
;
8
43PECIFYMAXMINVALUEVARIABLES
;
8
53PECIFYREGRESSIONCOEFlCIENTVARIABLES
Notes:
s ,ISTDISPLAYOFREGRESSIONCOEFlCIENTVALUESANDSPECIlCATIONOF
REGRESSIONCOEFlCIENTVARIABLESDONOTAPPEARINSINGLEVARIABLE
statistical calculation.
s
%STIMATEDVALUES
x
’ and
y
ARESPECIlEDWITHTHEKEYS@
V
,
@
U
)FTHEREARETWO
x
VALUESYOUCANSPECIFY
x
AND
x
FROMTHE34!4MENU
;
8
5TOOBTAINTHEVALUES
SEPARATELY
s )NTHESTATISTICALVALUEANDREGRESSIONCOEFlCIENTVALUELISTSYOU
CANNOTRETURNTOTHEMENUBYPRESSINGN.
Statistical Calculation Formulas
22
!NERRORWILLOCCURWHEN
s 4HEABSOLUTEVALUEOFTHEINTERMEDIATERESULTORCALCULATIONRESULT
ISEQUALTOORGREATERTHAN
u
.
s 4HEDENOMINATORISZERO
s !NATTEMPTISMADETOTAKETHESQUAREROOTOFANEGATIVENUMBER
s .OSOLUTIONEXISTSINTHEQUADRATICREGRESSIONCALCULATION
TABLE MODE
23
9OUCANSEETHECHANGESINVALUESOFONEORTWOFUNCTIONSUSING
4!",%MODE
Setting a table
0RESSb 2TOENTER4!",%MODE
%NTERAFUNCTION&UNCTIONANDPRESSe.
)FNEEDEDENTERTHENDFUNCTION&UNCTIONANDPRESSe.
%NTERASTARTINGVALUE8?3TARTANDPRESSe.
4HEDEFAULTSTARTINGVALUEIS
%NTERASTEPVALUE8?3TEP4HEDEFAULTSTEPVALUEIS
s9OUCANUSEu and dTOMOVETHECURSORBETWEENTHE
STARTINGVALUEANDSTEPVALUE
0RESSeWHENYOUlNISHENTERINGASTEPVALUE!TABLEWITHA
VARIABLE8ANDTHECORRESPONDINGVALUES!.3COLUMNAPPEARS
DISPLAYINGLINESBELOWTHESTARTINGVALUE
)FYOUENTEREDTWOFUNCTIONSTHE!.3AND!.3COLUMNSAPPEAR
You can use u and d to change the X value and see its
CORRESPONDINGVALUESINTABLEFORMAT
s 4HETABLEISFORDISPLAYONLYANDYOUCANNOTEDITTHETABLE
s 4HEVALUESAREDISPLAYEDUPTODIGITSINCLUDINGSIGNSANDA
DECIMALPOINT
s 0RESSl or rTOMOVETHECURSORTO!.3COLUMN!.3
AND!.3COLUMNSIFYOUENTEREDTWOFUNCTIONSOR8COLUMN
s &ULLDIGITSOFTHEVALUEONTHECURSORAREDISPLAYEDONTHEBOTTOM
right.
Notes:
s )NAFUNCTIONONLYh8vCANBEUSEDASAVARIABLE
ANDOTHER
VARIABLESAREALLREGARDEDASNUMBERSSTOREDINTOTHEVARIABLES
s )RRATIONALNUMBERSSUCHAS
r and π can also be entered into a
STARTINGVALUEORASTEPVALUE9OUCANNOTENTERORANEGATIVE
NUMBERASASTEPVALUE
s 9OUCANUSE7RITE6IEWEDITORWHENINPUTTINGAFUNCTION
s 4HEFOLLOWINGFEATURESARENOTUSEDIN4!",%MODECOORDINATE
CONVERSIONSCONVERSIONBETWEENDECIMALANDSEXAGESIMAL
numbers, and angular unit conversions.
s )TMAYTAKETIMETOMAKEATABLEORhvMAYBEDISPLAYED
DEPENDINGONTHEFUNCTIONENTEREDORCONDITIONSSPECIlEDFORTHE
variable X.
s 0LEASENOTETHATWHENMAKINGATABLETHEVALUESFORVARIABLE8
AREREWRITTEN
s 0RESS
@
Z
or mode selection to return to the initial screen
of the mode, and return to the default values for the starting value
ANDSTEPVALUE
DRILL MODE
-ATH$RILLb 3 0
-ATHOPERATIONQUESTIONSWITHPOSITIVEINTEGERSANDAREDISPLAYED
RANDOMLY)TISPOSSIBLETOSELECTTHENUMBEROFQUESTIONSAND
OPERATORTYPE
-ULTIPLICATION4ABLE
u4ABLEb 3 1
1UESTIONSFROMEACHROWOFTHEMULTIPLICATIONTABLETOARE
DISPLAYEDSERIALLYORRANDOMLY
4OEXIT$2),,MODEPRESSb and select another mode.
Using Math Drill and × Table
0RESSb
3
0FOR-ATH$RILLORb
3
1 for
u
4ABLE
Math Drill5SEu and d to select the number of
QUESTIONSOR
× Tabl e5SEu and dTOSELECTAROWINTHEMULTIPLICATION
TABLETO
Math Drill5SEl and rTOSELECTTHEOPERATORTYPEFOR
QUESTIONS
, , u, y, or uy
× Tabl e5SEl and rTOSELECTTHEORDERTYPEh3ERIALvOR
h2ANDOMv
0RESSe to start.
7HENUSING-ATH$RILLOR
u4ABLERANDOMORDERONLYQUESTIONS
ARERANDOMLYSELECTEDANDWILLNOTREPEATEXCEPTBYCHANCE
%NTERYOURANSWER0RESSj or N to clear the entered
NUMBERANDTHENENTERTHECORRECTANSWER
0RESSe.
s
)FTHEANSWERISCORRECTh vAPPEARSANDTHENEXTQUESTIONISDISPLAYED
s )FTHEANSWERISWRONGh vAPPEARSANDTHESAMEQUESTIONIS
DISPLAYED4HISWILLBEREGARDEDASANINCORRECTANSWER
s )FYOUPRESSeWITHOUTENTERINGANANSWERTHECORRECT
ANSWERISDISPLAYEDANDTHENTHENEXTQUESTIONISDISPLAYED
4HISWILLBEREGARDEDASANINCORRECTANSWER
#ONTINUEANSWERINGTHESERIESOFQUESTIONSBYENTERINGTHE
ANSWERANDPRESSINGe.
!FTERYOUlNISHPRESSeANDTHENUMBERANDPERCENTAGEOF
CORRECTANSWERSAREDISPLAYED
0RESSe to return to the initial screen for your current drill.
Ranges of Math Drill Questions
4HERANGEOFQUESTIONSFOREACHOPERATORTYPEISASFOLLOWS
+ Addition operatorh
vTOhv
] Subtraction operatorh
vTOhvANSWERSARE
POSITIVEINTEGERSAND
> Multiplication operatorh
uvORhuvTOh×v
) Division operatorh
yvTOhyvANSWERSARE
POSITIVEINTEGERSFROMTOANDDIVIDENDSOFUPTO
ANDDIVISORSOFUPTO
+]>) Mixed operators1UESTIONSWITHINALLTHEABOVERANGES
AREDISPLAYED
ERRORS AND CALCULATION RANGES
Errors
!NERRORWILLOCCURIFANOPERATIONEXCEEDSTHECALCULATIONRANGES
ORIFAMATHEMATICALLYILLEGALOPERATIONISATTEMPTED7HENANERROR
OCCURSPRESSINGl or r automatically moves the cursor
BACKTOTHEPLACEINTHEEQUATIONWHERETHEERROROCCURRED%DITTHE
EQUATIONORPRESSj to clear the equation.
Error codes and error types
%22/23YNTAXERROR
s !NATTEMPTWASMADETOPERFORMANINVALIDOPERATION
%X+ &=
%22/2#ALCULATIONERROR
s 4HEABSOLUTEVALUEOFANINTERMEDIATEORlNALCALCULATIONRESULT
EQUALSOREXCEEDS
.
s !NATTEMPTWASMADETODIVIDEBYZEROORANINTERMEDIATE
CALCULATIONRESULTEDINZERO
s
4HECALCULATIONRANGESWEREEXCEEDEDWHILEPERFORMINGCALCULATIONS
s ORANEGATIVENUMBERWASENTEREDASASTEPVALUEIN4!",%
MODE4HEABSOLUTEVALUEOFASTARTINGVALUEORASTEPVALUE
EQUALSOREXCEEDS
IN4!",%MODE
s
7HENTHENUMBERTOBEFACTOREDINTOPRIMESISGREATERTHANAND
OTHERTHANADIGITPOSITIVEINTEGERORWHENTHERESULTOFPRIME
FACTORIZATIONISANEGATIVENUMBERDECIMALFRACTION
r
,
or
ʌ
.
%22/2.ESTINGERROR
s
4HEAVAILABLENUMBEROFBUFFERSWASEXCEEDED4HEREAREBUFFERS
FORNUMERICVALUESANDBUFFERSFORCALCULATIONINSTRUCTIONS
%22/2$ATAOVER
s $ATAITEMSEXCEEDEDIN34!4MODE
Alert Messages
#ANNOTDELETE
s 4HESELECTEDITEMCANNOTBEDELETEDBYPRESSINGN or @
yINTHE7RITE6IEWEDITOR
%X*r A l N
)NTHISEXAMPLEDELETETHEEXPONENTBEFOREATTEMPTINGTODELETE
THEPARENTHESES
#ANNOTCALL
s 4HEFUNCTIONOROPERATIONSTOREDINDElNABLEMEMORY$TO$
cannot be called.
%X!NATTEMPTWASMADETORECALLASTATISTICALVARIABLEFROM
WITHIN./2-!,MODE
"UFFERFULL
s 4HEEQUATIONINCLUDINGANYCALCULATIONENDINGINSTRUCTIONS
EXCEEDEDITSMAXIMUMINPUTBUFFERCHARACTERSINTHE
7RITE6IEWEDITORORCHARACTERSINTHE,INEEDITOR!N
EQUATIONMAYNOTEXCEEDITSMAXIMUMINPUTBUFFER
Calculation Ranges
24
s
Within the ranges specified, this calculator is accurate to
r
1
of the 10th digit of the mantissa. However, a calculation error
increases in continuous calculations due to accumulation of
each calculation error. (This is the same for
y
x
,
x
r
, n!, e
x
, ln,
etc., where continuous calculations are performed internally.)
Additionally, a calculation error will accumulate and become larger
in the vicinity of inflection points and singular points of functions
.
s #ALCULATIONRANGES
r
to ru
AND
)FTHEABSOLUTEVALUEOFANENTRYORAlNALORINTERMEDIATERESULT
OFACALCULATIONISLESSTHAN
THEVALUEISCONSIDEREDTOBE
INCALCULATIONSANDINTHEDISPLAY
Display of results using r (when EXACT is selected)
#ALCULATIONRESULTSMAYBEDISPLAYEDUSINGrWHENALLOFTHE
FOLLOWINGCONDITIONSAREMET
s 7HENINTERMEDIATEANDlNALCALCULATIONRESULTSAREDISPLAYEDIN
THEFOLLOWINGFORM
r
a
P
b
e
r
c
P
d
f
s 7HENEACHCOEFlCIENTFALLSINTOTHEFOLLOWINGRANGES
d a b d c
d d d e d f
s 7HENTHENUMBEROFTERMSINTHEINTERMEDIATEANDlNAL
CALCULATIONRESULTSISONEORTWO
.OTE 4HERESULTOFTWOFRACTIONALTERMSTHATINCLUDErWILLBE
reduced to a common denominator.
BATTERY REPLACEMENT
Notes on Battery Replacement
)MPROPERHANDLINGOFBATTERIESCANCAUSEELECTROLYTELEAKAGEOR
EXPLOSION"ESURETOOBSERVETHEFOLLOWINGHANDLINGRULES
s -AKESURETHENEWBATTERYISTHECORRECTTYPE
s
7HENINSTALLINGORIENTTHEBATTERYPROPERLYASINDICATEDINTHECALCULATOR
s 4HEBATTERYISFACTORYINSTALLEDBEFORESHIPMENTANDMAY
BEEXHAUSTEDBEFOREITREACHESTHESERVICELIFESTATEDINTHE
SPECIlCATIONS
Notes on erasure of memory contents
7HENTHEBATTERYISREPLACEDTHEMEMORYCONTENTSARE
ERASED%RASURECANALSOOCCURIFTHECALCULATORISDEFECTIVE
ORWHENITISREPAIRED-AKEANOTEOFALLIMPORTANTMEMORY
contents in case accidental erasure occurs.
When to Replace the Battery
)FTHEDISPLAYHASPOORCONTRASTORNOTHINGAPPEARSONTHEDISPLAY
WHENjISPRESSEDINDIMLIGHTINGEVENAFTERADJUSTINGTHE
DISPLAYCONTRASTITISTIMETOREPLACETHEBATTERY
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