Casio ALGEBRA FX, User Manual

Page 1: ...ALGEBRA FX 2 0 PLUS FX 1 0 PLUS User s Guide 2 Additional Functions E http world casio com edu_e...

Page 2: ...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...

Page 3: ...20010101 ALGEBRA FX 2 0 PLUS FX 1 0 PLUS Additional Functions...

Page 4: ...Conversion 2 6 1 2 7 Cost Selling Price Margin 2 7 1 2 8 Day Date Calculations 2 8 1 2 9 Depreciation 2 9 1 2 10 Bonds 2 10 1 2 11 TVM Graph 2 11 1 Chapter 3 Differential Equations 3 1 Using the DIFF...

Page 5: ...20010101 Advanced Statistics Application 1 1 Advanced Statistics STAT 1 2 Tests TEST 1 3 Confidence Interval INTR 1 4 Distribution DIST 1 Chapter...

Page 6: ...located in the TOOL menu 6 g 1 TOOL u u u u uCalculation of the Coefficient of Determination r2 and MSE You can use the STAT Mode to calculate the coefficient of determination r2 for quadratic regres...

Page 7: ...n The following is the general procedure for using the Y CAL function 1 After drawing a regression graph press 6 g 2 Y CAL to enter the graph selection mode and then press w If there are multiple grap...

Page 8: ...lculations The STAT Mode includes functions for performing tests and confidence interval and distribution calculations You can find explanations of each of these functions in the following sections 1...

Page 9: ...etting screen G T function Pressing u 5 G T again returns to the graph screen The G T function is disabled whenever you change a setting on the parameter setting screen or when you perform a u 3 SET U...

Page 10: ...ypothesis for a single unknown population mean when the population standard deviation is unknown 2 Sample t Test compares the population means when the population standard deviations are unknown Linea...

Page 11: ...ter 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...

Page 12: ...tents you want to use as data List 1 to 20 Freq frequency 1 or List 1 to 20 Save Res list for storage of calculation results None or List 1 to 20 Execute executes a calculation or draws a graph The fo...

Page 13: ...Output Example G11 4 direction of test z z score p p value o mean of sample x n 1 sample standard deviation Displayed only for Data List setting n size of sample Save Res does not save the condition...

Page 14: ...ean value test conditions G 2 specifies two tail test 2 specifies one tail test where sample 1 is smaller than sample 2 2 specifies one tail test where sample 1 is greater than sample 2 1 population s...

Page 15: ...lculation or draw the graph 1 CALC Performs the calculation 6 DRAW Draws the graph Calculation Result Output Example 1G 2 direction of test z z score p p value o1 mean of sample 1 o2 mean of sample 2...

Page 16: ...t p0 expected sample proportion 0 p0 1 x sample value x 0 integer n size of sample positive integer Save Res list for storage of calculation results None or List 1 to 20 Execute executes a calculation...

Page 17: ...ne tail test where sample 1 is smaller than sample 2 p2 specifies one tail test where sample 1 is greater than sample 2 x1 data value x1 0 integer of sample 1 n1 size positive integer of sample 1 x2 d...

Page 18: ...z z score p p value p 1 estimated proportion of sample 1 p 2 estimated proportion of sample 2 p estimated sample proportion n1 size of sample 1 n2 size of sample 2 Save Res does not save the p1 condi...

Page 19: ...ph 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 Pressing 2 P displays the p value at the bottom of t...

Page 20: ...test 0 specifies lower one tail test 0 specifies upper one tail test 0 assumed population mean List list whose contents you want to use as data List 1 to 20 Freq frequency 1 or List 1 to 20 Save Res l...

Page 21: ...Calculation Result Output Example G 11 3 direction of test t t score p p value o mean of sample x n 1 sample standard deviation n size of sample Save Res does not save the condition in line 2 1 2 12 T...

Page 22: ...2 n 1 2 n2 df 1 C2 n1 1 1 C 2 n2 1 C x1 n 1 2 n1 x2 n 1 2 n2 x1 n 1 2 n1 Perform the following key operations from the statistical data list 3 TEST c T c 2 Smpl 1 2 13 Tests TEST o1 mean of sample 1 o...

Page 23: ...1 to 20 Pooled pooling On in effect or Off not in effect Save Res list for storage of calculation results None or List 1 to 20 Execute executes a calculation or draws a graph The following shows the m...

Page 24: ...dom o1 mean of sample 1 o2 mean of sample 2 x1 n 1 standard deviation of sample 1 x2 n 1 standard deviation of sample 2 xp n 1 pooled sample standard deviation Displayed only when Pooled On setting n1...

Page 25: ...llowing key operations from the statistical data list 3 TEST c T d LinReg The following shows the meaning of each item in the case of list data specification p value test conditions G 0 specifies two...

Page 26: ...display copies the regression formula to the graph formula editor When there is a list specified for the Resid List item on the SET UP screen regression formula residual data is automatically saved to...

Page 27: ...e matrix that contains the data The following shows the meaning of the above item Observed name of matrix A to Z that contains observed counts all cells positive integers Expected name of matrix A to...

Page 28: ...isplays the pointer at the corresponding location in the graph unless the location is off the graph screen Press i to clear the 2 value 2 P Displays p value Pressing 2 P displays the p value at the bo...

Page 29: ...ere sample 1 is greater than sample 2 List 1 list whose contents you want to use as data of sample 1 List 1 to 20 List 2 list whose contents you want to use as data of sample 2 List 1 to 20 Freq 1 fre...

Page 30: ...ing graph analysis functions after drawing a graph 1 F Displays F value Pressing 1 F displays the F value at the bottom of the display and displays the pointer at the corresponding location in the gra...

Page 31: ...lculation results None or List 1 to 16 1 Execute executes a calculation or draws a graph Two Way ANOVA only The following item appears in the case of Two Way ANOVA only Factor B category list List 1 t...

Page 32: ...y ANOVA you can draw Interaction Plot graphs The number of graphs depends on Factor B while the number of X axis data depends on the Factor A TheY axis is the average value of each category You can us...

Page 33: ...h group as Dependent Define List 1 and List 2 the factor numbers for each data item in List 3 as Factor A and Factor B respectively Executing the test produces the following results Time differential...

Page 34: ...20010101 u u u u uInput Example u u u u uResults 1 2 25 Tests TEST...

Page 35: ...onfidence level changes in accordance with the application 1 Sample Z Interval calculates the confidence interval for an unknown population mean when the population standard deviation is known 2 Sampl...

Page 36: ...range of 0 C Level 1 for the C Level setting sets you value you input Inputting a value in the range of 1 C Level 100 sets a value equivalent to your input divided by 100 Inputting a value of 100 or g...

Page 37: ...erations from the statistical data list 4 INTR b Z b 1 Smpl The following shows the meaning of each item in the case of list data specification Data data type C Level confidence level 0 C Level 1 popu...

Page 38: ...l 2 Sample Z Interval calculates the confidence interval for the difference between two population means when the population standard deviations of two samples are known The following is the confidenc...

Page 39: ...ation The following shows the meaning of parameter data specification items that are different from list data specification o1 mean of sample 1 n1 size positive integer of sample 1 o2 mean of sample 2...

Page 40: ...rameter specification The following shows the meaning of each item C Level confidence level 0 C Level 1 x data 0 or positive integer n size of sample positive integer Save Res list for storage of calc...

Page 41: ...from the statistical data list 4 INTR b Z e 2 Prop Data is specified using parameter specification The following shows the meaning of each item C Level confidence level 0 C Level 1 x1 data value x1 0...

Page 42: ...the confidence level Left o tn 1 2 Right o tn 1 2 x n 1 n x n 1 n Perform the following key operations from the statistical data list 4 INTR c T b 1 Smpl The following shows the meaning of each item i...

Page 43: ...o mean of sample x n 1 sample standard deviation n size of sample u u u u u 2 Sample t Interval 2 Sample t Interval calculates the confidence interval for the difference between two population means...

Page 44: ...a specification Data data type C Level confidence level 0 C Level 1 List 1 list whose contents you want to use as data of sample 1 List 1 to 20 List 2 list whose contents you want to use as data of sa...

Page 45: ...press the function key shown below to perform the calculation 1 CALC Performs the calculation Calculation Result Output Example Left interval lower limit left edge Right interval upper limit right edg...

Page 46: ...rmal distribution is used to estimate the proportion of the products will reach this value Normal probability density calculates the probability density of normal distribution from a specified x value...

Page 47: ...and then press w This causes the x and p values to appear at the bottom of the display and moves the pointer to the corresponding point on the graph 3 Pressing v or a number key at this time causes t...

Page 48: ...Save Res list for storage of calculation results None or List 1 to 20 Execute executes a calculation or draws a graph Specifying 1 and 0 specifies standard normal distribution After setting all the p...

Page 49: ...Data is specified using parameter specification The following shows the meaning of each item Lower lower boundary Upper upper boundary standard deviation 0 mean Save Res list for storage of calculatio...

Page 50: ...ty and use this formula to obtain the integration interval Perform the following key operations from the statistical data list 5 DIST b Norm d Invrse Data is specified using parameter specification Th...

Page 51: ...erforms the calculation Calculation Result Output Examples x inverse cumulative normal distribution Tail Left upper boundary of integration interval Tail Right lower boundary of integration interval T...

Page 52: ...culation results None or List 1 to 20 Execute executes a calculation or draws a graph After setting all the parameters align the cursor with Execute and then press one of the function keys shown below...

Page 53: ...C D Data is specified using parameter specification The following shows the meaning of each item Lower lower boundary Upper upper boundary df degrees of freedom df 0 Save Res list for storage of calc...

Page 54: ...ing key operations from the statistical data list 5 DIST d 2 b P D Data is specified using parameter specification The following shows the meaning of each item x data df degrees of freedom positive in...

Page 55: ...rrent V Window settings are used for graph drawing when the SET UP screen s Stat Wind setting is Manual The V Window settings below are set automatically when the Stat Wind setting is Auto Xmin 0 Xmax...

Page 56: ...is specified using parameter specification The following shows the meaning of each item Lower lower boundary Upper upper boundary df degrees of freedom positive integer Save Res list for storage of c...

Page 57: ...Data is specified using parameter specification The following shows the meaning of each item x data n df numerator degrees of freedom positive integer d df denominator degrees of freedom positive int...

Page 58: ...F probability density V Window settings for graph drawing are set automatically when the SET UP screen s Stat Wind setting is Auto Current V Window settings are used for graph drawing when the Stat Wi...

Page 59: ...er specification The following shows the meaning of each item Lower lower boundary Upper upper boundary n df numerator degrees of freedom positive integer d df denominator degrees of freedom positive...

Page 60: ...20010101 Calculation Result Output Example p F distribution probability 1 4 15 Distribution DIST...

Page 61: ...ta is specified using list specification Data data type List list whose contents you want to use as specified data List 1 to 20 Numtrial number of trials p success probability 0 p 1 Save Res list for...

Page 62: ...tatistical data list 5 DIST f Binmal c C D The following shows the meaning of each item when data is specified using list specification Data data type List list whose contents you want to use as speci...

Page 63: ...ameters align the cursor with Execute and then press the function key shown below to perform the calculation 1 CALC Performs the calculation Calculation Result Output Example p probability of success...

Page 64: ...a type List list whose contents you want to use as specified data List 1 to 20 mean 0 Save Res list for storage of calculation results None or List 1 to 20 Execute executes a calculation The following...

Page 65: ...ta type List list whose contents you want to use as specified data List 1 to 20 mean 0 Save Res list for storage of calculation results None or List 1 to 20 Execute executes a caluculation The followi...

Page 66: ...ant to use as specified data List 1 to 20 p success probability 0 p 1 Save Res list for storage of calculation results None or List 1 to 20 Execute executes a calculation The following shows the meani...

Page 67: ...you want to use as specified data List 1 to 20 p success probability 0 p 1 Save Res list for storage of calculation results None or List 1 to 20 Execute executes a calculation The following shows the...