User manual CASIO FX-350TL

[. . . ] If accidentally swallowed, consult with a physician immediately. · Never charge batteries, try to take batteries apart, or allow batteries to become shorted. Never expose batteries to direct heat or dispose of them by incineration. · Misuse of batteries can cause them to leak and damage nearby items, and can create the risk of fire and personal injury. [. . . ] · Example: To convert 4. 25 radians to degrees q . . . . . 25 r 243. 5070629 kCoordinate Conversion (Pol (x, y), Rec (r, )) u Rectangular Coordinates u Polar Coordinates · Calculation results are automatically assigned to variables X and Y. · Example 1: To convert polar coordinates (r coordinates (x, y) (Angle unit: Deg) 2, 60°) to rectangular x y 1 1. 732050808 A F 2 P 60 T < 0y · Press 0 x to display the value of x, or 0 y to display the value of y. E-24 · Example 2: To convert rectangular coordinates (1, 3) to polar coordinates (r, ) (Angle unit: Rad) r 2 1. 047197551 Af1P L3T< 0y · Press 0 x to display the value of r, or 0 y to display the value of . kEngineering Notation Calculations · Example 1: To convert 56, 088 meters to kilometers 10 3 (km) · Example 2: To convert 0. 08125 grams to milligrams 56. 088 81. 25 10­3 (mg) 56088 < J 0. 08125 < J Statistical Calculations Standard Deviation SD REG SD Use the F key to enter the SD Mode when you want to perform statistical calculations using standard deviation. SD . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . F F 1 · Always start data input with A B 1 (Scl) < to clear statistical memory. · Input data using the key sequence shown below. <x-data> S · Input data is used to calculate values for n, x, x2, o, n and n-1, which you can recall using the key operations noted nearby. To recall this type of value: Perform this key operation: x2 x n o n n­1 E-25 AU1 AU2 AU3 AX1 AX2 AX3 · Example: To calculate n 1, n, o, n, x, and x2 for the following data : 55, 54, 51, 55, 53, 53, 54, 52 In the SD Mode: A B 1 (Scl) < (Stat clear) 55 S n= SD 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). 54 S 51 S 55 S 53 S S 54 S 52 S Sample Standard Deviation (n 1) = 1. 407885953 Population Standard Deviation (n) = 1. 316956719 Arithmetic Mean (o) = 53. 375 Number of Data (n) = 8 Sum of Values (x) = 427 Sum of Squares of Values (x 2 ) = 22805 AX3< AX2< AX1< AU3< AU2< AU1< · After inputting data, you can perform the key operations that calculate statistical results (standard deviation, mean, etc. ) in any order. You do not need to follow the order shown above. Data Input Precautions · To input the same data twice: <x-data> S S · To input multiple entries of the same data by specifying the "frequency": <x-data> A G <frequency> S Example: To input the data 110 ten times 110 A G 10 S · While inputting data or after inputting data is complete, you can use the [ and ] keys to scroll through data you have input. If you input multiple entries of the same data using A G to specify the data frequency (number of data items) as described above, scrolling through data shows both the data item and a separate screen for the data frequency (Freq). · You can then edit the displayed data, if you want. Input the new value and then press the < key to replace the old value with the new one. 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. You do not need to follow the order shown above. Data Input Precautions · To input the same data twice: <x-data> P <y-data> S S · To input multiple entries of the same data by specifying the "frequency": <x-data> P <y-data> A G <frequency> S Example: To input the data X = 20, Y = 30 five times 20 P 30 A G 5 S · Precautions when editing data input for standard deviation also apply for regression calculations. E-31 1 Linear Regression y = A + Bx u Regression coefficient B u Regression coefficient A y ­ B. x A= n B= n. xy ­ x . y n. x 2 ­ (x)2 u Correlation coefficient r r= n . xy ­ x . y {n . x ­ (x)2}{n . y 2 ­ (y)2} 2 2 Logarithmic Regression u Regression coefficient A y = A + B. ln x u Regression coefficient B y ­ B. lnx A= n u Correlation coefficient r B= n . (lnx)y ­ lnx . y n . (lnx)2 ­ (lnx)2 r= n . (lnx)y ­ lnx . y . (lnx)2 ­ (lnx)2}{n . y 2 ­ (y)2} {n y = A. eB·x (ln y = ln A + Bx) u Regression coefficient B 3 Exponential Regression u Regression coefficient A . A = exp lny ­ B x n ( ) B= n . xlny ­ x . lny n . x 2 ­ (x)2 u Correlation coefficient r r= n . xlny ­ x . lny {n . x 2 ­ (x)2}{n . (lny)2 ­ (lny)2} y = A. xB (ln y = ln A + Bln x) u Regression coefficient B 4 Power Regression u Regression coefficient A . A = exp lny ­ B lnx n ( ) B= n . lnxlny ­ lnx . lny n . (lnx)2 ­ (lnx)2 u Correlation coefficient r r= n . lnxlny ­ lnx . lny {n . (lnx)2 ­ (lnx)2}{n . (lny)2 ­ (lny)2} E-32 5 Inverse Regression y = A + B 1/x u Regression coefficient B u Regression coefficient A y ­ B. x ­1 A= n u Correlation coefficient r B= Sxy Sxx r= Sxy Sxx . Syy 2 ­1 2 Sxx = (x ­1)2 ­ (x ) , Syy = y 2­ (y) n n ­1 . Sxy = (x ­1)y ­ x y n 6 Quadratic Regression u Regression coefficient A y = A + Bx + Cx2 A= y x x2 ­B ­C n n n ()() u Regression coefficient B B = (Sxy . Sx 2x 2 ­ Sx 2y . Sxx 2) ÷ {Sxx . Sx 2x 2 ­ (Sxx 2)2} u Regression coefficient C C = Sx 2y . Sxx ­ Sxy . Sxx 2 2 . Sxx = x 2­ (x) , Sxy = xy ­ (x y) n n 22 . 2 Sxx 2 = x 3 ­ (x x ) , Sx 2x 2 = x 4 ­ (x ) n n (x 2. y) Sx 2y = x 2y ­ n E-33 Differential Calculations COMP The procedure described below obtains the derivative of a function. Use the F key to enter the COMP Mode when you want to perform a calculation involving differentials. [. . . ] Load it into the unit with the positive k side facing up (so you can see it). 5 Replace the battery cover and secure it in place with the screw. 6 Press 5 to turn power on. Screw E-53 Auto Power Off Calculator power automatically turns off if you do not perform any operation for about six minutes. When this happens, press 5 to turn power back on. Specifications Power Supply: fx-3950P: Single G13 Type button battery (LR44) fx-3650P: Solar cell and a single G13 Type button battery (LR44) Battery Life: fx-3950P: Approximately 9, 000 hours continuous display of flashing cursor. [. . . ]