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ALGEBRA FX 2.0 PLUS

FX 1.0 PLUS

User’s Guide 2

(Additional Functions)

E

http://world.casio.com/edu_e/

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CASIO ELECTRONICS CO., LTD. Unit 6, 1000 North Circular Road, London NW2 7JD, U.K. Important! Please keep your manual and all information handy for future reference.

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1 Contents Contents Chapter 1 Advanced Statistics Application 1-1 Advanced Statistics (STAT) .............................................................. 1-1-1 1-2 Tests (TEST) .................................................................................... 1-2-1 1-3 Confidence Interval (INTR)............................................................... 1-3-1 1-4 Distribution (DIST) ............................................................................ 1-4-1 Chapter 2 Financial Cal

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Chapter 1 Advanced Statistics Application 1-1 Advanced Statistics (STAT) 1-2 Tests (TEST) 1-3 Confidence Interval (INTR) 1-4 Distribution (DIST) 20010101

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1-1-1 Advanced Statistics (STAT) 1-1 Advanced Statistics (STAT) uuuuuFunction Menu The following shows the function menus for the STAT Mode list input screen. Pressing a function key that corresponds to the added item displays a menu that lets you select one of the functions listed below. •3(TEST) ... Test (page1-2-1) •4(INTR) ... Confidence interval (page1-3-1) •5(DIST) ... Distribution (page1-4-1) SORT and JUMP functions are located in the TOOL menu (6(g)1(TOOL)). 2 uuuuuCalculation of the Co

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1-1-2 Advanced Statistics (STAT) n 1 2 • Logarithmic Regression ... MSE = (yi – (a + b ln xi )) Σ n – 2 i=1 n 1 2 •Exponential Repression ... MSE = (ln yi – (ln a + bxi )) Σ n – 2 i=1 n 1 2 •Power Regression ... MSE = (ln yi – (ln a + b ln xi )) Σ n – 2 i=1 n 1 2 •Sin Regression ... MSE = (yi – (a sin (bxi + c) + d )) Σ n – 2 i=1 n 2 1 C • Logistic Regression ... MSE = yi – Σ -bx i n – 2 1 + ae i=1 uuuuuEstimated Value Calculation for Regression Graphs The STAT Mode also includes a Y-CAL f

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1-1-3 Advanced Statistics (STAT) 4. After you are finished, press i to clear the coordinate values and the pointer from the display. · The pointer does not appear if the calculated coordinates are not within the display range. ·The coordinates do not appear if [Off] is specified for the [Coord] item of the [SETUP] screen. · The Y-CAL function can also be used with a graph drawn by using DefG feature. uuuuuRegression Formula Copy Function from a Regression Calculation Result Screen In addition to

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1-1-4 Advanced Statistics (STAT) uuuuuCommon Functions • The symbol “ ” appears in the upper right corner of the screen while execution of a ■ calculation is being performed and while a graph is being drawn. Pressing A during this time terminates the ongoing calculation or draw operation (AC Break). • Pressing i or w while a calculation result or graph is on the display returns to the parameter setting screen. Pressing ! i(QUIT) returns to the top of list input screen. · Pressing A while a calcu

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1-2-1 Tests (TEST) 1-2 Tests (TEST) The Z Test provides a variety of different standardization-based tests. They make it possible to test whether or not a sample accurately represents the population when the standard deviation of a population (such as the entire population of a country) is known from previous tests. Z testing is used for market research and public opinion research, that need to be performed repeatedly. 1-Sample Z Test tests for the unknown population mean when the population st

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1-2-2 Tests (TEST) The following pages explain various statistical calculation methods based on the principles described above. Details concerning statistical principles and terminology can be found in any standard statistics textbook. On the initial STAT Mode screen, press 3(TEST) to display the test menu, which contains the following items. •3(TEST)b(Z) ... Z Tests (p. 1-2-2) c(T) ... t Tests (p. 1-2-10) 2 2 d(χ ) ... χ Test (p. 1-2-18) e(F) ... 2-Sample F Test (p. 1-2-20) f(ANOVA) ... ANOVA (

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1-2-3 Tests (TEST) Perform the following key operations from the statistical data list. 3(TEST) b(Z) b(1-Smpl) The following shows the meaning of each item in the case of list data specification. Data ............................ data type µ .................................. population mean value test conditions (“G µ0” specifies two-tail test, “< µ0” specifies lower one-tail test, “> µ0” specifies upper one-tail test.) µ0 ................................. assumed population mean σ ............

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1-2-4 Tests (TEST) Calculation Result Output Example µG11.4 ........................ direction of test z .................................. z score p .................................. p-value o .................................. mean of sample xσn-1 ............................. sample standard deviation (Displayed only for Data: List setting.) n .................................. size of sample # [Save Res] does not save the µ condition in line 2. 20010101

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1-2-5 Tests (TEST) uuuuu2-Sample Z Test This test is used when the standard deviations for two populations are known to test the hypothesis. The 2-Sample Z Test is applied to the normal distribution. o – o o1 : mean of sample 1 1 2 Z = o2 : mean of sample 2 2 2 σ σ 1 2 σ1 : population standard deviation of sample 1 + n n 1 2 σ2 : population standard deviation of sample 2 n1 : size of sample 1 n2 : size of sample 2 Perform the following key operations from the statistical data list. 3(TEST) b(Z)

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1-2-6 Tests (TEST) o1 ................................. mean of sample 1 n1 ................................. size (positive integer) of sample 1 o2 ................................. mean of sample 2 n2 ................................. size (positive integer) of sample 2 After setting all the parameters, align the cursor with [Execute] and then press one of the function keys shown below to perform the calculation or draw the graph. •1(CALC) ... Performs the calculation. •6(DRAW) ... Draws the g

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1-2-7 Tests (TEST) uuuuu1-Prop Z Test This test is used to test for an unknown proportion of successes. The 1-Prop Z Test is applied to the normal distribution. x p0 : expected sample proportion – p 0 n n : size of sample Z = p (1– p ) 0 0 n Perform the following key operations from the statistical data list. 3(TEST) b(Z) d(1-Prop) Prop ............................ sample proportion test conditions (“G p0” specifies two-tail test, “< p0” specifies lower one-tail test, “> p0” specifies upper one

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1-2-8 Tests (TEST) uuuuu2-Prop Z Test This test is used to compare the proportion of successes. The 2-Prop Z Test is applied to the normal distribution. x x 1 2 x1 : data value of sample 1 – n n 1 2 x2 : data value of sample 2 Z = n1 : size of sample 1 1 1 p(1 – p ) + n2 : size of sample 2 n n 1 2 ˆ p : estimated sample proportion Perform the following key operation from the statistical data list. 3(TEST) b(Z) e(2-Prop) p1 ................................. sample proportion test conditions (“G

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1-2-9 Tests (TEST) p1>p2............................ direction of test z .................................. z score p .................................. p-value p ˆ 1 ................................. estimated proportion of sample 1 p ˆ 2 ................................. estimated proportion of sample 2 p ˆ .................................. estimated sample proportion n1 ................................. size of sample 1 n2 ................................. size of sample 2 # [Save Res] doe

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1-2-10 Tests (TEST) kkkkk t Tests uuuuu t Test Common Functions You can use the following graph analysis functions after drawing a graph. •1(T) ... Displays t score. Pressing 1 (T) displays the t score at the bottom of the display, and displays the pointer at the corresponding location in the graph (unless the location is off the graph screen). Two points are displayed in the case of a two-tail test. Use d and e to move the pointer. Press i to clear the t score. •2(P) ... Displays p-value. Pres

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1-2-11 Tests (TEST) uuuuu1-Sample t Test This test uses the hypothesis test for a single unknown population mean when the population standard deviation is unknown. The 1-Sample t Test is applied to t-distribution. o – µ o : mean of sample 0 t = xσ n–1 µ0 : assumed population mean n xσn-1 : sample standard deviation n : size of sample Perform the following key operations from the statistical data list. 3(TEST) c(T) b(1-Smpl) The following shows the meaning of each item in the case of list data