User manual CASIO FX-3650P

[. . . ] fx-3650P fx-3950P User's Guide Guía del usuario ES http://world. casio. com/edu_e/ CASIO ELECTRONICS CO. , LTD. Unit 6, 1000 North Circular Road, London NW2 7JD, U. K. ENGLISH E-1 Safety Precautions Be sure to read the following safety precautions before using this calculator. Keep this manual handy for later reference. Caution This symbol is used to indicate information that can result in personal injury or material damage if ignored. Batteries · After removing the battery from the calculator, put it in a safe place where it will not get into the hands of small children and accidentally swallowed. · Keep batteries out of the reach of small children. [. . . ] If this happens, press the < key to display the screen shown below. Ed i t OFF ESC 1 2 Press 2 to exit data input without registering the value you just input. Press 1 if you want to register the value you just input, without saving it in memory. If you do this, however, you will not be able to display or edit any of the data you have input. · For information about the number of data items that can be stored in memory, see "Statistical Data Memory and Program Memory" on page 44. · To delete data you have just input, press A U. · After inputting statistical data in the SD Mode or REG Mode, you will be unable to display or edit individual data items any longer after perform either the following operations. Changing to another mode Changing the regression type (Lin, Log, Exp, Pwr, Inv, Quad) u Arithmetic Mean u Standard Deviation All the data of a finite population is used to calculate the standard deviation for the population. Sample data for a population is used to estimate the standard deviation for the population. E-27 Regression Calculations REG Use the F key to enter the REG Mode when you want to perform statistical calculations using regression. REG . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . F F 2 · Entering the REG Mode displays screens like the ones shown below. L i n Log Ex p r e 1 2 3 Pw r 1 2 I nv Quad 3 · Press the number key ( 1, 2, or 3) that corresponds to the type of regression you want to use. 1 (Lin) : 2 (Log) : 3 (Exp) : r 1 (Pwr) : r 2 (Inv) : r 3 (Quad) : Linear regression Logarithmic regression Exponential regression Power regression Inverse regression Quadratic regression · Always start data input with A B 1 (Scl) < to clear statistical memory. · Input data using the key sequence shown below. <x-data> P <y-data> S · The values produced by a regression calculation depend on the values input, and results can be recalled using the key operations shown in the table below. To recall this type of value: Perform this key operation: x2 x n y2 y xy o xn xn-1 p AU1 AU2 AU3 AUr1 AUr2 AUr3 AX1 AX2 AX3 AXr1 E-28 To recall this type of value: Perform this key operation: yn yn-1 Regression coefficient A Regression coefficient B Correlation coefficient r AXr2 AXr3 AXrr1 AXrr2 AXrr3 AXrrr1 AXrrr2 Regression calculation other than quadratic regression m n · The following table shows the key operations you should use to recall results in the case of quadratic regression. To recall this type of value: Perform this key operation: x3 x2y x4 Regression coefficient C m1 m2 n AUrr1 AUrr2 AUrr3 AXrr3 AXrrr1 AXrrr2 AXrrr3 · The values in the above tables can be used inside of expressions the same way you use variables. u Linear Regression · The regression formula for linear regression is: y = A + Bx. · Example: Atmospheric Pressure vs. Temperature Temperature 10°C 15°C 20°C 25°C 30°C Atmospheric Pressure 1003 hPa 1005 hPa 1010 hPa 1011 hPa 1014 hPa Perform linear regression to determine the regression formula terms and correlation coefficient for the data nearby. Next, use the regression formula to estimate atmospheric pressure at 18°C and temperature at 1000 hPa. Finally, calculate the coefficient of determination (r2) and sample covariance . E-29 In the REG Mode: 1(Lin) A B 1 (Scl) < (Stat clear) 10 P1003 S n= REG 1. Each time you press S to register your input, the number of data input up to that point is indicated on the display (n value). 15 P 1005 S 20 P1010 S 25 P 1011 S 30 P 1014 S Regression Coefficient A = 997. 4 Regression Coefficient B = 0. 56 Correlation Coefficient r = 0. 982607368 Atmospheric Pressure at 18°C = 1007. 48 Temperature at 1000 hPa = 4. 642857143 Coefficient of Determination = 0. 965517241 Sample Covariance = 35 AXrr1< AXrr2< AXrr3< 18 A X r r r 2 < 1000 A X r r r 1 < AXrr3K< EAUr3, AU3-AX1AXr1F\ EAU3, 1F< u Logarithmic, Exponential, Power, and Inverse Regression · Use the same key operations as linear regression to recall results for these types of regression. · The following shows the regression formulas for each type of regression. Logarithmic Regression Exponential Regression Power Regression Inverse Regression y y y y A B In x A eB·x (In y In A + Bx) A xB (In y In A + BIn x) A B 1/x E-30 u Quadratic Regression · The regression formula for quadratic regression is: y = A + Bx + Cx2. · Example: xi 29 50 74 103 118 yi 1. 6 23. 5 38. 0 46. 4 48. 0 Perform quadratic regression to determine the regression formula terms for the data nearby. Next, use the regression formula to estimate the values for n (estimated value of y) for xi = 16 and m (estimated value of x) for yi = 20. In the REG Mode: r 3(Quad) A B 1 (Scl) < (Stat clear) 29 P 1. 6 S 50 P 23. 5 S 74 P 38. 0 S 103 P 46. 4 S 118 P 48. 0 S Regression Coefficient A = ­35. 59856934 Regression Coefficient B = 1. 495939413 Regression Coefficient C = ­ 6. 71629667 × 10 ­3 n when xi is 16 = ­13. 38291067 m1 when yi is 20 = 47. 14556728 m2 when yi is 20 = 175. 5872105 AXrr1< AXrr2< AXrr3< 16 A X r r r 3 < 20 A X r r r 1 < 20 A X r r r 2 < · After inputting data, you can perform the key operations that calcutate statistical results (regression coefficients, n, m1, etc. ) in any order. [. . . ] Approximately 3 years when left with power turned off. fx-3650P: Approximately 3 years (1 hour use per day). Dimensions: 11. 8 (H) 7/16 (H) Weight: 80 (W) 159 (D) mm 31/8 (W) 61/4 (D) 100 g (3. 5 oz) including battery Power Consumption: 0. 0002 W Operating Temperature: 0°C to 40°C (32°F to 104°F) E-54 Practical Examples/Ejemplos prácticos kProgram Library kBiblioteca de programas Problem: Quadratic Equation Create a program that solves the quadratic equation ax2 + bx + c = 0 for x, when values are provided for a, b, and c. Problema: Ecuación cuadrática Crear un programa que resuelva la ecuación cuadrática ax2 + bx + c = 0 para x, cuando se proporcionan valores para a, b y c. x = (­b ± b2 ­ 4ac)/2a (b2 ­ 4ac > 0) Program Press F F F 1 to display the Edit Prog screen. [. . . ]