fx-82ZA PLUS II
(NATURAL-V.P.A.M.)
Ngaphambi Kokusebenzisa Umshini Wokubala
Amamodi Wokubala Nokusetha Umshini Wokubala
Ukufaka Izichazi Namanani
- ▶Imithetho Evamile Yokufaka
- ▶Ukufaka Ngesibonisi Semvelo
- ▶√ Kusukela Emahlukweni Wokubala
- ▶Ukusebenzisa Amanani Nezichazi Njengempikiswano (Isibonisi Semvelo kuphela)
- ▶Ukumisela Imodi Yokufaka (Isibonisi Somugqa kuphela)
- ▶Ukulungisa Nokucisha Isichazi
Izibalo Eziyisisekelo
- ▶Ukushintshashintsha Imiphumela Yokubala
- ▶Izibalo Ezingamaqhezu
- ▶Izibalo Zamaphesenti
- ▶Ukubalwa Kwama-Degrees, Imizuzu Nemizuzwana (Sexagesimal)
- ▶Izitatimende Ezixhantile
- ▶Ukusebenzisa Izimpawu Zobunjiniyela
- ▶Izibalo Zokusele
- ▶Ukufekthorayiza Ngezinombolo Ezingahlukaniseki Ngokuphelele
- ▶Umlando Wokubala Nokudlala Futhi
- ▶Ukusebenzisa Amafankshini Enkumbulo
Izibalo Zamafankshini
- ▶I-Pi (π), Isisekeli se-Logarithm Yemvelo e
- ▶Imisebenzi ye-Trigonometric
- ▶Imisebenzi ye-Hyperbolic
- ▶Iyunithi Yokuguqulela i-Engele
- ▶Imisebenzi ye-Exponential
- ▶Imisebenzi ye-Logarithmic
- ▶Imisebenzi ye-Power Nemisebenzi ye-Power Root
- ▶Ukuguqulela Izixhumanisi ze-Rectangular-Polar
- ▶Umsebenzi Wefektha (!)
- ▶Umsebenzi Wenani Langempela (Abs)
- ▶Inombolo Ewumjikelezo (Ran#)
- ▶Inombolo Ephelele Ewumjikelezo (RanInt#)
- ▶Izimiseli (nPr) kanye Nenhlanganisela (nCr)
- ▶Umsebenzi we-Rounding (Rnd)
- ▶I-Greatest Common Divisor (GCD) ne-Least Common Multiple (LCM)
Ukusebenzisa Amamodi Okubala
- ▶Izibalo Zamastathistiki (STAT)
- ▶Ukwenza Ithebula Lezinombolo kusukela Emisebenzini Emibili (TABLE)
- ▶Izibalo ze-Base-n (BASE-N)
- ▶Izibalo ze-Ratio
Ulwazi Lobuchwepheshe
- ▶Amaphutha
- ▶Ngaphambi Kokuthatha Ngokuthi Isibali Asisebenzi Kahle…
- ▶Ukubuyisela Ibhetri
- ▶Ukulandelana Kokubaluleka Kwesibalo
- ▶Imahluko Yezibalo, Izinombolo Zamadijithi, kanye Nokucacisa
- ▶Imininingwane
- ▶Ukuqinisekisa Ubuqiniso Bomshini Wakho Wokubala
Okuvame Ukubuzwa
Izibalo Zamastathistiki (STAT)
Ukuqalisa isibalo sezibalobalo, yenza lesi senzo 
(STAT) ukufaka Imodi ye-STAT bese usebenzisa isikrini esivelayo ukukhetha uhlobo lwesibalo ofuna ukusenza.
Ukukhetha lolu hlobo lwesibalo sezibalobalo: (Ifomula yokubuyela emuva ibonisiwe kubakaki) |
Cindezela lo khiye: |
|---|---|
| Isimeleli-esisodwa (X) |  (1-VAR) |
| Isimeleli-esihambisana nesinye (X; Y), ukubuyela emuva komugqa (y = A + Bx) |
(A+BX) |
| Isimeleli-esihambisana nesinye (X; Y), ukubuyela emuva kwe-quadratic (y = A + Bx + Cx2) |
 (_+CX2) |
| Isimeleli-esihambisana nesinye (X; Y), ukubuyela emuva kwe-logarithmic (y = A + Blnx) |
 (ln X) |
| Isimeleli-esihambisana nesinye (X; Y), e ukubuyela emuva kwe-exponential (y = A eBx) |
 (e∧X) |
| Isimeleli-esihambisana nesinye (X; Y), ab ukubuyela emuva kwe-exponential (y = ABx) |
 (A•B∧X) |
| Isimeleli-esihambisana nesinye (X; Y), ukubuyela emuva kwe-power (y = AxB) |
 (A•X∧B) |
| Isimeleli-esihambisana nesinye (X; Y), ukubuyela emuva kwe-inverse (y = A + B/x) |
 (1/X) |
Ukucindezela noma ngimuphi ukhiye kwabangenhla ( ukuya ku-) kubonisa iStathistiki Editha.
Phawula
Uma ufuna ukushintsha uhlobo lwesibalo ngemva kokufaka Imodi ye-STAT, sebenzisa lo khiye 
(STAT)(Type) ukubonisa uhlobo lwesibalo esikrinini sokukhetha.
Ukufaka Idatha
Sebenzisa iStathistiki Editha ukufaka idatha. Sebenzisa okhiye abalandelayo ukuze obonise iStathistiki Editha: (STAT)(Data).
Isibalo semigqa yedatha engafakwa siya ngesibalo sezinhlu: Imigqa engu-80 ohleni olulodwa, imigqa engu-40 ezinhleni ezimbili, imigqa engu-26 ezinhleni ezintathu.
Phawula
Sebenzisa ikholomu elithi FREQ (ukuvama) ukuze ufake ubungako (bokuvama) kwedatha yezinto ezifanayo. Ukubonisa ikholomu ethi FREQ kungakhanyiswa (ukuboniswa) noma kucishwe (ukungaboniswa) kusetshenziswa isethingi ye-fomethi ye-Stat kumenyu yokusetha.
Isibonelo 1: Ukuze ukhethe irigreshini ewumugqa ufake idatha elandelayo: (170; 66), (173; 68), (179; 75)
- (STAT)(A+BX)
- 170
173179
- 666875
Kubalulekile!
Yonke idatha efakiwe njengamanje kuStathistiki Editha iyasuswa noma nini lapho uphuma Kumodi ye-STAT, kushintshe kusukela kuhlobo lwesibalo sezibalobalo zesimeleli esisodwa kanye nezesimeleli esihambisana nesinye, noma ukushintsha isethingi ye-fomethi ye-Stat kumenyu yokusetha.
Izenzo ezilandelayo azisekelwe yiStathistiki Editha: 
, (M-), 
(STO). I-Pol, Rec, ÷R, kanye nezitatimende ezixubile nazo azikwazi ukufakwa kuStathistiki Editha.
Ukushintsha idatha yeseli:
KuStathistiki Editha, hambisa i-cursor kuseli elinedatha ofuna ukuyishintsha, faka idatha entsha, bese ucindezela .
Ukucisha ulayini:
KuStathistiki Editha, hambisa i-cursor emugqeni ofuna ukuwususa bese ucindezela 
.
Ukufaka ulayini:
KuStathistiki Editha, hambisa i-cursor endaweni ofuna ukufaka kuyo umugqa bese wenza isenzo esilandelayo:
(STAT)(Edit)(Ins).
Ukucisha konke okuqukethwe yiStathistiki Editha:
KuStathistiki Editha, yenza isenzo esilandelayo sokhiye:
(STAT)(Edit)(Del-A).
Isikrini Sesibalo Sezibalobalo
Isikrini Sesibalo Sezibalobalo ngesokwenza izibalo zezibalobalo ngedatha oyifaka ngeStathistiki Editha. Ukucindezela lo khiye 
kuyilapho iStathistiki Editha ibonisiwe, kushintshela Esikrinini Sesibalo Sezibalobalo.
Ukusebenzisa Imenyu Yezibalobalo
Njengoba Isikrini Sesibalo Sezibalobalo sibonisiwe, cindezela (STAT) ukubonisa Imenyu Yezibalobalo.
Okuqukethwe Kumenyu Yezibalobalo kuya ngokuthi uhlobo lwesenzo sezibalobalo esikhethiwe njengamanje lusebenzisa isimeleli esisodwa noma izimeleli ezihambisanayo.
Izibalobalo-Zesimeleli esisodwa
Izibalobalo-Zezimeleleli Ezihambisanayo
Izinto Zemenyu Yezibalobalo
Izinto Ezivamile
| Khetha le menyu yezinto: | Uma ufuna ukuthola lokhu: |
|---|---|
| (Type) |
Bonisa uhlobo lwesibalo osikhethile esikrinini |
| (Data) |
Bonisa iStathistiki Editha |
| (Sum) |
Bonisa i-Sum yemenyu ephakathi yeziqondisi zokubala ama-sum |
| (Var) |
Bonisa i-Var yemenyu ephakathi yeziqondisi zokubala i-mean, i-standard devation, njll. |
| Izimeleli ezihambisanayo: (Reg) |
Bonisa ye-Reg yemenyu ephakathi yeziqondiso zezibalo zokubuyela emuva • Mayelana nemininingwane bheka esithi "Iziqondisi uma Isibalo Somugqa Wokubuyela Emuva (A+BX) Sikhethiwe" kanye nesithi "Iziqondisi uma Isibalo se-Quadratic Yokubuyela Emuva (_+CX2) Sikhethiwe". |
| Isimeleli esisodwa: (MinMax) Izimeleli ezihambisanayo: (MinMax) |
Bonisa ye-MinMax yemenyu ephakathi yeziqondisi zokuthola amanani aphansi naphezulu |
Isimeleli-esisodwa (1-VAR) Iziqondisi Zesibalo Sezibalobalo
Imenyu ephakathi ye-Sum ((STAT)(Sum))
| Khetha le menyu yezinto: | Uma ufuna ukuthola lokhu: |
|---|---|
| (∑x2) |
I-sum yezikwele zesampula yedatha |
| (∑x) |
I-sum yesampula ledatha |
Imenyu ephakathi ye-Var ((STAT)(Var))
| Khetha le menyu yezinto: | Uma ufuna ukuthola lokhu: |
|---|---|
| (n) |
Inani lamasampula |
| (x) |
I-mean yesampula ledatha |
| (σx) |
I-Population standard deviation |
| (sx) |
I-Sample standard deviation |
Imenyu ephakathi ye-MinMax ((STAT)(MinMax))
| Khetha le menyu yezinto: | Uma ufuna ukuthola lokhu: |
|---|---|
| (minX) |
Inani eliphansi |
| (maxX) |
Inani eliphezulu |
| (Q1) |
I-quartile yokuqala |
| (med) |
I-Median |
| (Q3) |
I-quartile yesithathu |
Iziqondisi uma Isibalo Somugqa Wokubuyela Emuva (A+BX) Sikhethiwe
Imenyu ephakathi ye-Sum ((STAT)(Sum))
| Khetha le menyu yezinto: | Uma ufuna ukuthola lokhu: |
|---|---|
| (∑x2) |
I-sum yezikwele ze-X-datha |
| (∑x) |
I-sum ye-X-datha |
| (∑y2) |
I-sum yezikwele ze-Y-datha |
| (∑y) |
I-sum ye-Y-datha |
| (∑xy) |
I-sum yemikhiqizo ye-X-datha ne-Y-datha |
| (∑x3) |
I-sum yama-cube we-X-datha |
| (∑x2y) |
I-sum (yezikwele ze-X-datha × Y-datha) |
| (∑x4) |
I-sum ye-biquadrate ye-X-datha |
Imenyu ephakathi ye-Var ((STAT)(Var))
| Khetha le menyu yezinto: | Uma ufuna ukuthola lokhu: |
|---|---|
| (n) |
Inani lamasampula |
| (x) |
I-Mean ye-X-datha |
| (σx) |
I-Population standard deviationye-X-datha |
| (sx) |
I-Sample standard deviation ye-X-datha |
| (y) |
I-Mean ye-Y-datha |
| (σy) |
I-Population standard deviation ye-Y-datha |
| (sy) |
I-Sample standard deviation ye-Y-datha |
Imenyu ephakathi ye-Reg ((STAT)(Reg))
| Khetha le menyu yezinto: | Uma ufuna ukuthola lokhu: |
|---|---|
| (A) |
Ukubuyela emuva kwe-coefficient engashintshi yethemu lika-A |
| (B) |
Ukubuyela emuva kwe-coefficient B |
| (r) |
Ukuhlangan kwe-coefficient r |
| (xˆ) |
Inani elisikiselwe lika-X |
| (yˆ) |
Inani elisikiselwe lika-Y |
Imenyu ephakathi ye-MinMax ((STAT)(MinMax))
| Khetha le menyu yezinto: | Uma ufuna ukuthola lokhu: |
|---|---|
| (minX) |
Ubuncane benani le-X-datha |
| (maxX) |
Ubukhulu benani le-X-datha |
| (minY) |
Ubuncane benani le-Y-datha |
| (maxY) |
Ubukhulu benani le-Y-datha |
Iziqondisi uma Isibalo se-Quadratic Yokubuyela Emuva (_+CX2) Sikhethiwe
Imenyu ephakathi ye-Reg ((STAT)(Reg))
| Khetha le menyu yezinto: | Uma ufuna ukuthola lokhu: |
|---|---|
| (A) |
Ukubuyela emuva kwe-coefficient engashintshi yethemu lika-A |
| (B) |
Umugqa we-coefficient B yokubuyela emuva kwama-coefficient |
| (C) |
I-Quadratic coefficient C yokubuyela emuva kwama-coefficient |
| (xˆ1) |
Inani elisikiselwe lika-x1 |
| (xˆ2) |
Inani elisikiselwe lika-x2 |
| (yˆ) |
Inani elisikiselwe lika-y |
Phawula
xˆ, xˆ1, xˆ2 no yˆ akuzona izimeleli. Kuyiziqondisi zohlobo oluthatha impikiswano ngokushesha ngaphambi kwazo. Bheka esithi "Ukubala Amanani Asikiselwe" mayelana nokwaziswa okubanzi.
Isibonelo 2: Ukufaka idatha yesimeleli esisodwa x = {1, 2, 2, 3, 3, 3, 4, 4, 5}, usebenzisa ikholomu elithi FREQ ukubalula inani lokuphindkea kwento ngayinye ({xn; freqn} = {1;1, 2;2, 3;3, 4;2, 5;1}), kanye nokubala i-mean ne-population standard deviation.
- (SETUP)(STAT)(ON)
(STAT)(1-VAR)
12345
1232 
- (STAT)(Var)(x)
- 3
- (STAT)(Var)(σx)
- 1,154700538
Imiphumela: Okumelela i-Mean ngu-3, bese Okumelela i-Population Standard Deviation ngu-1,154700538
Isibonelo 3: Ukuze ubale ukubuyela emuva komugqa nokubuyela emuva kokuhlangana kwe-logarithmic coefficients kwedatha elandelayo yezimeleli ezihambisanayo kanye nokunquma ifomula yokubuyela emuva kokuhlangana okunamandla kakhulu: (x; y) = (20; 3150), (110; 7310), (200; 8800), (290; 9310). Balula u-Fix 3 (izindawo zedesimali ezintathu) ukuze uthole imiphumela.
- (SETUP)(STAT)(OFF)
(SETUP)(Fix)
(STAT)(A+BX)
20110200290
3150731088009310 
- (STAT)(Reg)(r)
- 0,923
- (STAT)(Type)(ln X)
(STAT)(Reg)(r) - 0,998
- (STAT)(Reg)(A)
- -3857,984
- (STAT)(Reg)(B)
- 2357,532
Imiphumela: Ukubuyela Emuva Komugqa Wokuhlangana kwe-Coefficient: 0,923
Ukubuyela Emuva kwe-Logarithmic Yokuhlangana ye-Coefficient: 0,998
Ifomula Yokubuyela Emuva kwe-Logarithmic: y = -3857,984 + 2357,532lnx
Ukubala Amanani Asikiselwe
Ngokusekelwe kufomula yokubuyela emuva etholwe ngesibalo sezibalobalo zesimeleli esihambisanayo, inani elisikiselwe lika-y lingabalelwa inani elinikeziwe lika-x.
Inani lika-x elihambisanayo (amanani amabili, x1 no-x2, esimweni sokubuyela emuva kwe-quadratic) futhi lingabalwa nangenani lika-y kwifomula yokubuyela emuva.
Isibonelo 4: Ukunquma inani elisikiselwayo lika-x uma u-y = -130 kwifomula yokubuyela emuva ekhiqizwa nge-logarithmic yokubuyela emuva kwedatha Esesibonelweni 3. Balula u-Fix 3 ukuze uthole imiphumela. (Yenza isenzo esilandelayo emva kokuqeda izenzo Ezisesibonelweni 3.)
130(STAT)(Reg)(xˆ)- 4,861
Kubalulekile!
Ukubuyela emuva kwe-coefficient, ukulungiswa kwe-coefficient, kanye namanani asikiselwayo wezibalo kungathatha isikhashana uma kunezinombolo ezinkulu zezinto zedatha.
