Canon F789sga User Manual
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40 Base-n Calculations and Logical Calculations Press to enter Base-n mode. Decimal (base 10), hexadecimal (base 16), binary (base 2), octal (base 8), or logical calculations. To select a specific number system in base mode, simply press Decimal [DEC], Hexadecimal [HEX], Binary [BIN] or Octal [OCT]. Press key to perform logical calculations including: Logic connection [and] / [or], exclusive or [Xor], exclusive nor [Xnor], argument complement [Not] and negation [Neg]. If the binary or octal calculation result is more than 8 digits, will be displayed to indicate the result has a next block. Press to loop between result blocks. In Base-n mode all the scientific functions cannot be used, and you cannot input the value with decimal places or exponents. Logical Operation Display Key in operation Example 789ABC Xnor 147258 789ABC nor147258 HEX FF93171B Ans or 789ABC Ansor789ABC HEX FFFB9FBF Neg 789ABC Neg(789ABC HEX FF876544 1 (SD) One-variable statistics (x) 2 (Lin) Two-variable, Linear regression (y= A+Bx) 3 (Quad) Two-variable, Quadratic regression (y=A +Bx + Cx2)4 (Log) Two-variable, Logarithmic regression (y=AxBlnx) 5 (e EXP) Two-variable, E exponential regression (y=AeBx) 6 (ab EXP) Two-variable, ab Exponential regression (y=ABx) 7 (Pwr) Two-variable, Power regression (y=AxB) 8 (Inv) Two-variable, Inverse regression (y=A+B/x) Statistical CalculationPressing Key Statistical Type Selection There are 8 types of Statistical Calculation, after entering the Statistical Type Selection screen, press the number to select the type of Statistic Calculation. Press to enter Statistical calculation mode: the “STAT” indicator will light up. Press (Type) to select the calculation type. Statistical Calculations Apps Apps Apps Apps MATHEMATICS MODE:
41 Statistical Data Input After confirming the calculation type in the Statistical Type Selection screen or by pressing (Data) in the STAT mode, the following Statistical Data Input screen will be shown: Editing Statistical Sample Data Replacing the Data in a Cell (1) In the Statistical Data Input screen, move the cursor to the cell you want to edit. (2) Input the new data value or expression, and press . Deleting a Line (1) In the Statistical Data Input screen, move the cursor to the line you want to delete. (2) Press Inserting a Line (1) In the Statistical Data Input screen, move the cursor to the line that will be under the line being inserted. (2) Press (Edit) (3) Press (Ins) Deleting All STAT Data Input (1) Press (Edit) (2) Press (Del-A) • After turning on Data Frequency in the setup menu, the “FREQ” column will be added into the above screen. • The following are the maximum number of lines for data input. • Input expression and display result values in the Statistical Data Input screen are in Line mode (same as Comp mode with Line mode status). • After inputting the data, press to store the value into statistical registers and display the value (max. 6 digits) in the cell. You can press the cursor key to move the cursor between each cell. FREQ OFF Statistic type Single Variable (only x input) 40 80 2 Variable (x & y input) 26 40 FREQ ON Apps Apps Apps 1-variable STAT2-variable STAT1-variable STAT ”FREQ ON”
42 Statistical Calculation Screen After inputting the STAT Data, press to enter the Statistical Calculation screen. Statistical Calculation screen is in Line mode for input & output display Use the Statistical Menu to calculate the Statistical result. (S-SUM, S-VAR, S-PTS, Reg). Statistical Menu In the Statistical Data Input screen or Statistical Calculation screen, press to display the Statistical Menu screen. [1] Type To enter the statistical calculation type screen [2] Data To enter the statistical data input screen [3] Edit To enter Edit sub-menu for editing STAT editor screen contents [4] S-SUM To enter S-Sum sub-menu (calculating sum) [5] S-VAR To enter S-Var sub-menu (calculating variable) [6] S-PTS To enter S-PTS sub-menu (calculating points) [7] Distr To enter Distr sub-menu (calculating distribution) [8] Reg To enter Reg sub-menu (Regression calculation) Description STAT items Apps 1-variable STAT 2-variable STAT
44 33 SD Type Statistical Calculation Example: To calculate ∑x2, ∑x, n, x, x n, x n-1, minX, maxX of data: 75, 85, 90, 77, 79 in SD mode (Freq: OFF) Quadratic Regression Type Statistical Calculation Example: ABC Company investigated the effectiveness of the advertisement expenses in coded units, the following data was obtained: ∑x2 33120 ∑x 406 n 5 x 81.2 x n 5.528109984 x n-1 6.180614856 (SD) Display Key in operation Advertisement expenses: X 18 35 40 21 19 Effectiveness: y (%) 38 54 59 40 38 Statistical Calculation Example Apps Apps Apps Apps Apps Apps
45 34 Please use regression to estimate the effectiveness (estimate the value of y) if the advertisement expenses X=30, also estimate the advertisement expenses level (estimate the value of X 1, X2) if the effectiveness is y = 50. (Quad) 30y 48.69615715 50x 1 31.30538226 50x 2 -167.1096731 Display Key in operation Distribution Calculations After sample data is entered in either Statistic (SD) or Regression (REG) mode, you can perform the normal distribution or probability distribution calculation such as P(t), Q(t) and R(t) i\ n which t is the variate of the probabilistic experiment. Random variable Mean of sample Standard deviation Apps Apps Apps
46 35 Press to display the distribution calculations screen. Press , , or for the corresponding calculations. 26 t -0.6236095645 P(Ans 0.26644 Example: Calculate the probability distribution P(t) for the sample data: 20, 43, 26, 46, 20, 43, when x = 26. 1: P( 2: Q( 3: R( 4: t P(t): Probability below a given point x Q(t): Probability below a given point x and above the mean R(t): Probability above a given point x 1 2 P (t)= e dt ,1t– u 2 – ( )2P(t ) R ( t ) = 1 – P ( t ), R(t ) Q ( t ) = 0.5 – R ( t ), Q(t) Display Key in operation Apps Apps Apps
47 36 Equation Calculations Press to enter the equation mode; press / for next / previous pages. Simultaneous Linear EquationsSimultaneous Linear Equations with Two Unknowns: a1x + b1y = c1 a2x + b2y = c2 Simultaneous Linear Equations with Three Unknowns: a1x + b1y + c1z = d1 a2x + b2y + c2z = d2 a3x + b3y + c3z = d3 Simultaneous Linear Equations with Four Unknowns: a1w + b1x + c1y + d1z = e1 a2w + b2x + c2y + d2z = e2 a3w + b3x + c3y + d3z = e3 a4w + b4x + c4y + d4z = e4 [1] 2 unknow EQN Simultaneous Linear Equations with two unknowns [2] 3 unknow EQN Simultaneous Linear Equations with three unknowns [3] 4 unknow EQN Simultaneous Linear Equations with four unknowns [4] Quad EQN Quadratic Equation, degree 2 equation [5] Cubic EQN Cubic Equation, degree 3 equation [6] Quartic EQN Quartic Equation, degree 4 equation Description Equation Item Press [ ] or [ ] key
48 37 Example: Solve the simultaneous equation with three unknowns: 2x + 4y – 4z = 20 2x – 2y + 4z = 8 5x – 2y – 2z = 20 (3 unknowns) X= Y= Z=3 3 4 Display Key in operation 11 2
49 38 Solve Function You can solve custom calculation expressions in COMP mode. Simply input the expression with different variables and press the key. • Solves for X, for example, when an equation is input as: X = Y + 5, X • Solves for Y, for example, when an equation is input as: Y = X + 5, Y Example: A cone with height "h' and a circular base with radius "r"; find the cone volume using this formula: Replace the variable "V" with X, variable "r" with "B", and variable "h" with "C". Quadratic, Cubic and Quart EquationsQuadratic equation : ax2 + bx + c = 0 (a second-order polynomial equation with a single variable x) Cubic equation : ax 3 + bx2 + cx + d = 0 (an equation with cubic polynomial) Quart equation : ax 4 + bx3 + cx2 + dx + e = 0 hs r For quadratic, cubic or quart equations, the variable name starts with “X1”. Example: Solve the Cubic equation 5x 3 + 2x2 – 2x + 1 = 0 (Cubic equation) X 1= X 2= X 3= Display Key in operation 3 10 +0.331662479 3 10 -0.331662479 -1 X