# Casio FX-570ES Manual

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### User reviews and opinions

carloso |
4:35am on Saturday, July 31st, 2010 |

a good calculator but not for A2 exams It is a very good calculator with all the functions that you need. great! i got better then wat i was expecting. the delivery was super quick... thank you very much best AS/A2 level calculator available This calculator is amazing, it does everything you could want short of graphing. |

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### Documents

#### fx-570ES

User's Guide

http://world.casio.com/edu/

#### RCA502107-001V01

CASIO Europe GmbH Bornbarch 10, 22848 Norderstedt, Germany

#### About this Manual

The MATH mark indicates an example that uses Math format, while the LINE mark indicates Linear format. For details about input/output formats, see Specifying the Input/Output Format. Keycap markings indicate what a key inputs or what function it performs. Example: 1, 2, +, -, !, A, etc. Pressing the 1 or S key followed by a second key performs the alternate function of the second key. The alternate function is indicated by the text printed above the key.

#### Alternate function

sin1{D}

#### Keycap function

The following shows what the different colors of the alternate function key text mean. If key marking text is this color: Yellow Red Purple (or enclosed in purple brackets) Green (or enclosed in green brackets) It means this: Press 1 and then the key to access the applicable function. Press S and then the key to input the applicable variable, constant, or symbol. Enter the CMPLX Mode to access the function. Enter the BASE-N Mode to access the function.

The following shows an example of how an alternate function operation is represented in this Users Guide. Example: 1s(sin1)1= Indicates the function that is accessed by the key operation (1s) before it. Note that this is not part of the actual key operation you perform.

The following shows an example of how a key operation to select an on-screen menu item is represented in this Users Guide. Example: 1(Setup) Indicates the menu item that is selected by the number key operation (1) before it. Note that this is not part of the actual key operation you perform. The cursor key is marked with four arrows, indicating direction, as shown in the illustration nearby. In this Users Guide, cursor key operation is indicated as f, c, d, and e.

#### REPLAY

The displays and illustrations (such as key markings) shown in this Users Guide and the separate Appendix are for illustrative purposes only, and may differ somewhat from the actual items they represent. The contents of this manual are subject to change without notice. In no event shall CASIO Computer Co., Ltd. be liable to anyone for special, collateral, incidental, or consequential damages in connection with or arising out of the purchase or use of this product and items that come with it. Moreover, CASIO Computer Co., Ltd. shall not be liable for any claim of any kind whatsoever by any other party arising out of the use of this product and the items that come with it.

k Using the Separate Appendix

Whenever you see the symbol Appendix in this manual, it means you should refer to the separate Appendix. Example numbers (like <#021>) in this Users Guide refer to the corresponding example number in the Appendix. Specify the angle unit in accordance with the marks in the Appendix: Deg : Specify Degree for the angle unit. Rad : Specify Radian for the angle unit.

Initializing the Calculator

Perform the following procedure when you want to initialize the calculator and return the calculation mode and setup to their initial default settings. Note that this operation also clears all data currently in calculator memory. 19(CLR)3(All)=(Yes) For information about calculation modes and setup settings, see Calculation Modes and Calculator Setup. For information about memory, see Using Calculator Memory.

#### 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.

#### Battery

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 accidentally swallowed, consult with a physician immediately. Never charge the battery, try to take the battery apart, or allow the battery to become shorted. Never expose the battery to direct heat or dispose of it by incineration. Improperly using a battery can cause it to leak and damage nearby items, and can create the risk of fire and personal injury. Always make sure that the batterys positive k and negative l ends are facing correctly when you load it into the calculator. Remove the battery if you do not plan to use the calculator for a long time. Use only the type of battery specified for this calculator in this manual.

Disposing of the Calculator

Never dispose of the calculator by burning it. Doing so can cause certain components to suddenly burst, creating the risk of fire and personal injury.

#### Handling Precautions

Be sure to press the O key before using the calculator for the first time. Even if the calculator is operating normally, replace the battery at least once every two years. A dead battery can leak, causing damage to and malfunction of the calculator. Never leave a dead battery in the calculator. The battery that comes with this unit discharges slightly during shipment and storage. Because of this, it may require replacement sooner than the normal expected battery life. Low battery power can cause memory contents to become corrupted or lost completely. Always keep written records of all important data. Avoid use and storage of the calculator in areas subjected to temperature extremes. Very low temperatures can cause slow display response, total failure of the display, and shortening of battery life. Also avoid leaving the calculator in direct sunlight, near a window, near a heater or anywhere else it might be exposed to very high temperatures. Heat can cause discoloration or deformation of the calculators case, and damage to internal circuitry. Avoid use and storage of the calculator in areas subjected to large amounts of humidity and dust. Take care never to leave the calculator where it might be splashed by water or exposed to large amounts of humidity or dust. Such conditions can damage internal circuitry. Never drop the calculator or otherwise subject it to strong impact. Never twist or bend the calculator. Avoid carrying the calculator in the pocket of your trousers or other tight-fitting clothing where it might be subjected to twisting or bending. Never try to take the calculator apart. Never press the keys of the calculator with a ballpoint pen or other pointed object. Use a soft, dry cloth to clean the exterior of the calculator. If the calculator becomes very dirty, wipe it off with a cloth moistened in a weak solution of water and a mild neutral household detergent. Wring out all excess liquid before wiping the calculator. Never use thinner, benzene or other volatile agents to clean the calculator. Doing so can remove printed markings and can damage the case.

Before Using the Calculator

#### k Removing the Hard Case

Before using the calculator, slide its hard case downwards to remove it, and then affix the hard case to the back of the calculator as shown in the illustration below.

k Turning Power On and Off

Press O to turn on the calculator. Press 1A(OFF) to turn off the calculator.

k Adjusting Display Contrast

1N(SETUP)c6(]CONT') This displays the contrast adjustment screen. Use d and e to adjust display contrast. After the setting is the way you want, press A.

You can also adjust contrast using d and e while the mode menu (which appears when you press N) is on the display.

#### Important!

If adjusting display contrast does not improve display readability, it probably means that battery power is low. Replace the battery.

#### k About the Display

Your calculator has a 31-dot 96-dot LCD screen. Example:

Input expression Calculation result

#### k Display Indicators

Sample Display: This indicator:

Means this: The keypad has been shifted by pressing the 1 key. The keypad will unshift and this indicator will disappear when you press a key. The alpha input mode has been entered by pressing the S key. The alpha input mode will be exited and this indicator will disappear when you press a key. There is a value stored in independent memory. The calculator is standing by for input of a variable name to assign a value to the variable. This indicator appears after you press 1t(STO). The calculator is standing by for input of a variable name to recall the variables value. This indicator appears after you press t. The calculator is in the STAT Mode. The calculator is in the CMPLX Mode. The calculator is in the MATRIX Mode. The calculator is in the VECTOR Mode. The default angle unit is degrees. The default angle unit is radians. The default angle unit is grads. A fixed number of decimal places is in effect. A fixed number of significant digits is in effect. Math style is selected as the input/output format. Calculation history memory data is available and can be replayed, or there is more data above/below the current screen. The display currently shows an intermediate result of a multi-statement calculation.

RCL STAT CMPLX MAT VCT 9 FIX SCI Math $`

Displaying a Long Expression

The display can show up to 14 characters at a time. Inputting the 15th character causes the expression to shift to the left. At this time, the ] indicator appears to the left of the expression, indicating that it runs off the left side of the screen. Input expression: 1111 + 2222 + 3333 + 444

#### Displayed portion:

Cursor

When the ] indicator is displayed, you can scroll left and view the hidden part by pressing the d key. This will cause the ' indicator to appear to the right of the expression. At this time, you can use the e key to scroll back.

Number of Input Characters (Bytes)

You can input up to 99 bytes of data for a single expression. Basically, each key operation uses up one byte. A function that requires two key operations to input (like 1s(sin1)) also uses only one byte. Note, however, that when you are inputting functions with Math format, each item you input uses up more than one byte. For more information, see Inputting with Math Format.

Normally the input cursor appears as a straight vertical (I) or horizontal ( ) flashing line on the display screen. When there are 10 or fewer bytes of input remaining in the current expression, the cursor changes shape to I to let you know. If the I cursor appears, terminate the expression at a convenient point and calculate the result.

k Correcting an Expression

This section explains how to correct an expression as you are inputting it. The procedure you should use depends on whether you have insert or overwrite selected as the input mode.

About the Insert and Overwrite Input Modes

With the insert mode, the displayed characters shift to the left to make room when you input a new character. With the overwrite mode, any new character you input replaces the character at the current cursor position. The initial default input mode is insert. You can change to the overwrite mode when you need it. The cursor is a vertical flashing line (I) when the insert mode is selected. The cursor is a horizontal flashing line ( ) when the overwrite mode is selected. The initial default for Linear format input is the insert mode. You can switch to the overwrite mode by pressing 1Y(INS). With Math format, you can only use the insert mode. Pressing 1Y(INS) when the Math format is selected does not switch to the overwrite mode. See Incorporating a Value into a Function for more information. The calculator automatically changes to the insert mode whenever you change the input/output format from Linear to Math.

1s(sin1)0.5=

The following are the calculations for which ' form (form that includes ' within irrational number display) results can be displayed. a. Arithmetic calculations of values with square root symbol ('), x2, x3, x1 b. Trigonometric function calculations c. Complex number Abs calculations d. CMPLX Mode polar coordinate display (r ) The following are the input value ranges for which ' form is always used for display of trigonometric calculation results. Angle Unit Setting Deg Rad Gra Angle Value Input Units of Multiples of radians Multiples of grads 3 Input Value Range for ' Form Calculation Result

x < x < 20 x < 10000

Calculation results may be displayed in decimal form for input values outside of the above ranges.

k ' Form Calculation Range

When performing complex number calculations in the CMPLX Mode, the following conditions apply respectively to both the real part and the imaginary part. Results that include square root symbols can have up to two terms (an integer term is also counted as a term). ' form calculation results use display formats like those shown below. b e a', d a', a' d' b b

The following shows the range for each of the coefficients (a, b, c, d, e, f ). 1 < a < 100, 1 < b < 1000, 1 < c < < d < 100, 0 < e < 1000, 1 < f < 100 Example:

2' 4 = 8' 35' 3 = 148.(= 105' 2) 150' 2 = 8.2 (3 2' ) = 6 4' 23 (5 2' ) = 35.(= 115 46' ) 3 10' + 15 3' = 45' + 10' 15 (10' + 3' ) = 290.3 (= 45' + 150' ) ' + ' + ' = ' + 3' 2 ' + ' + ' = 5.3 6

#### ' form decimal form

' form decimal form ' form decimal form ' form decimal form

The underlined areas in the above examples indicate what caused decimal form to be used. Reasons why the results of the examples are displayed in decimal form - Value outside of the allowable range - More than two terms in the calculation result Calculation results displayed in ' form are reduced to a common denominator.

a' + d' a' + d' b e b e c f c

c is the least common multiple of c and f. Since calculation results are reduced to a common denominator, they are displayed in ' form even if coefficients (a, c, and d) are outside the corresponding ranges of coefficients (a, c, and d). ' ' 10' + 11' + = Example: 110 The result is displayed in decimal form even when any intermediate result has three or more terms. Example: (1 + ' + ' )(1 ' ' )(= 4 2' ) 6 = 8.898979486

SOLVE may not be able to determine the correct solution, even when one exists. SOLVE uses Newtons Method, so even if there are multiple solutions, only one of them will be returned. Newtons Method can have problems obtaining solutions for the following types of functions. - A periodic function (y = sin(x), etc.) - A function whose graph includes a steep slope (y = e x, y =1/x, etc.) - A discontinuous function (y = ', etc.) x

#### Solution Screen Contents

Input equation

#### Solution variable

Solution

(left side) (right side) form result

The (left side) (right side) form result shows the result when the obtained solution is assigned to the solution variable. The closer this value is to zero, the higher is the precision of the obtained solution.

#### Continue Screen

SOLVE performs convergence a preset number of times. If it cannot find a solution, it displays a confirmation screen that shows Continue: [=], asking if you want to continue. Press = to continue or A to cancel the SOLVE operation. Appendix <#017> Solve y = x2 x + 1 for x when y = 3, 7, 13, and 21. (Solutions: x = 2, 3, 4, 5 when y = 3, 7, 13, 21 respectively) *1 Assigns 3 to Y. *2 Assigns an initial value of 1 to X.

#### Function Calculations

This section explains how to use the calculators built-in functions. The functions available to you depends on the calculation mode you are in. The explanations in this section are mainly about the functions that are available in all calculation modes. All of the examples in this section show operation in the COMP Mode (N1). Certain function calculations may take some time to display calculation results. Before performing an operation, be sure to wait until execution of the current operation is complete. You can interrupt an ongoing operation by pressing A.

k Pi () and Natural Logarithm Base e

You can input pi () or natural logarithm base e into a calculation. The following shows the required key operations and the values this calculator uses for pi () and e. = 3.14159265358980 (15()) e = 2.71828182845904 (S5(e)) You can use and e in any calculation mode except for BASE-N.

k Trigonometric and Inverse Trigonometric Functions

Trigonometric and inverse trigonometric functions can be used in the COMP, STAT, EQN, MATRIX, TABLE, and VECTOR calculation modes. They can also be used in the CMPLX Mode, as long as complex numbers are not used for their arguments. The angle unit required by trigonometric and inverse trigonometric functions is one specified as the calculators default angle unit. Before performing a calculation, be sure to specify the default angle unit you want to use. See Specifying the Default Angle Unit for more information. Appendix <#018> sin 30 = 0.5, sin10.5 = 30

k Hyperbolic and Inverse Hyperbolic Functions

Hyperbolic and inverse hyperbolic functions can be used in the same modes as the trigonometric functions. Pressing the w key displays a menu of functions. Press the number key that corresponds to the function you want to input. Appendix <#019> sinh 1 = 1.175201194, cosh= 0

k Converting an Input Value to the Calculators Default Angle Unit

After inputting a value, press 1G(DRG') to display the angle unit specification menu shown below. Press the number key that corresponds to the angle unit of the input value. The calculator will automatically convert it to the calculators default angle unit.

Example: To convert the following values to degrees: radians = 90, 50 grads = The following procedure assumes that the calculators default angle unit is degrees. LINE (15()/2) 1G(DRG')2(r)=

501G(DRG') 3(g)= Appendix <#020> cos ( radians) = 1, cos (100 grads) = 0 <#021> cos1 (1) = 180 cos1 (1) =

k Exponential Functions and Logarithmic Functions

Exponential and logarithmic functions can be used in the same modes as the trigonometric functions. For the logarithmic function log(, you can specify base m using the syntax log (m, n). If you input only a single value, a base of 10 is used for the calculation. ln( is a natural logarithm function with base e. You can also use the & key when inputting an expression with the form of logmn while using Math format. For details, see Appendix <#022>. Note that you must input the base (base m) when using the & key for input. Appendix <#023> to <#025> *1 A base of 10 (common logarithm) is used if no base is specified.

k Power Functions and Power Root Functions

Power functions and power root functions can be used in the COMP, STAT, EQN, MATRIX, TABLE, and VECTOR calculation modes. The X2 , X3 , X1 functions can be used in complex number calculations in the CMPLX Mode, and complex number arguments are supported. The X^, '(, 3'(, ^'( functions can be used in the CMPLX Mode, as long as complex numbers are not used as their arguments. Appendix <#026> to <#030>

k Integration Calculations

This calculator performs integration using the Gauss-Kronrod method of numerical integration. ( f(x), a, b, tol ) f(x): Function of X (All non-X variables are treated as constants.) a: Integration interval lower limit b: Integration interval upper limit tol: Tolerance range (input/output format: Linear) You can omit specification of the tolerance range. A default value of is used when you do. (, d/dx(, Pol(, Rec(, and ( cannot be used within f(x), a, b, or tol. Integration calculations can be performed in the COMP Mode only. The integration result will be negative when f(x) < 0 within an integration interval that conforms with a < x < b. Example: (0.5X2 2, 2, 2) = 5.333333333 A Time Out error occurs when an integration calculation ends without the ending condition being fulfilled. When performing an integration calculation involving trigonometric functions, specify Rad as the calculators default angle unit. Integration calculations can take considerable time to complete. A smaller tol value provides better precision, but it also causes the calculation to take more time. Specify a tol value that is or greater. You cannot input a tol value when using Math format. There may be large error in obtained integration values and errors may occur due to the type of function being integrated, the presence of positive and negative values in the integration interval, or the interval. Pressing A will interrupt an ongoing integration calculation.

Tips on Improving Integration Value Accuracy

When a periodic function or integration interval results in positive and negative f(x) function values Perform separate integrations for each cycle, or for the positive part and the negative part, and then combine the results.

#### S Positive S Negative

f(x)dx =

#### f(x)dx + (

f(x)dx)

Positive Part (S Positive)

Negative Part (S Negative)

When integration values fluctuate widely due to minute shifts in the integration interval Divide the integration interval into multiple parts (in a way that breaks areas of wide fluctuation into small parts), perform integration on each part, and then combine the results.

#### f(x)dx +

f(x)dx +..+

#### f(x)dx

Appendix <#031> (ln(x), 1, e) = 7 = 0.8 <#032> 2 , 1, 5, 110 (tol specification omitted.)

k Differential Calculations

If you perform coordinate conversion inside of an expression instead of a stand-alone operation, the calculation is performed using only the first value (either the r-value or the X-value) produced by the conversion. Example: Pol (' ' + 5 = 2 + 5 = 7 2, 2) Appendix <#036> to <#037>

#### k Other Functions

This section explains how to use the functions shown below. !, Abs(, Ran#, nPr, nCr, Rnd( These functions can be used in the same modes as the trigonometric functions. In addition, the Abs( and Rnd( functions can be used in complex number calculations in the CMPLX Mode.

#### Factorial (!)

This function obtains the factorials of a value that is zero or a positive integer. Appendix <#038> (5 + 3)! = 40320

Absolute Value Calculation (Abs)

When you are performing a real number calculation, this function simply obtains the absolute value. Appendix <#039> Abs (2 7) = 5

#### Random Number (Ran#)

This function generates a 3-digit pseudo random number that is less than 1. Appendix <#040> Generate three 3-digit random numbers. The random 3 digit decimal values are converted to 3-digit integer values by multiplying by 1000. Note that the values shown here are examples only. Values actually generated by your calculator will be different.

Permutation (nPr) and Combination (nCr)

These functions make it possible to perform permutation and combination calculations. n and r must be integers in the range of 0 < r < n < 1 1010. Appendix <#041> How many four-person permutations and combinations are possible for a group of 10 people?

#### Rounding Function (Rnd)

This function rounds the value or the result of the expression in the functions argument to the number of significant digits specified by the number of display digits setting. Display Digits Setting: Norm1 or Norm2 The mantissa is rounded to 10 digits. Display Digits Setting: Fix or Sci The value is rounded to the specified number of digits. Example: 14 = 400 LINE 200/7*14=

(Specifies three decimal places.) 1N6(Fix)3

(Calculation is performed internally using 15 digits.)

#### 200/7=

The following performs the same calculation with rounding.

(Round the value to the specified number of digits.)

#### 10(Rnd)=

(Check rounded result.)

#### k Practical Examples

Appendix <#042>

#### 0(sinX + cosX ) dX =

#### STAT Menu Items

Common Items Select this menu item: 1Type 2Data 3Edit 4Sum 5Var 6MinMax When you want to do this: Display the statistical calculation type selection screen Display the STAT editor screen Display the Edit sub-menu for editing STAT editor screen contents Display the Sum sub-menu of commands for calculating sums Display the Var sub-menu of commands for calculating the mean, standard deviation, etc. Display the MinMax sub-menu of commands for obtaining maximum and minimum values

Single-variable Menu Item Select this menu item: 7Distr When you want to do this: Display the Distr sub-menu of commands for normal distribution calculations For more information, see Distr Sub-menu.

Paired-variable Menu Item Select this menu item: When you want to do this: Display the Reg sub-menu of commands for regression calculations For details see Commands when Linear Regression Calculation (A+BX) Is Selected and Commands when Quadratic Regression Calculation (_+CX2) Is Selected.

Single-variable (1-VAR) Statistical Calculation Commands

The following are the commands that appear on the sub-menus that appear when you select 4(Sum), 5(Var), 6(MinMax), or 7(Distr) on the STAT menu while a single-variable statistical calculation type is selected. See Appendix <#052> for information about the calculation formula used for each command. Sum Sub-menu (11(STAT)4(Sum)) Select this menu item: 1x2 2x When you want to obtain this: Sum of squares of the sample data Sum of the sample data

Var Sub-menu (11(STAT)5(Var)) Select this menu item: 1n 2o 3xn 4xn1 When you want to obtain this: Number of samples Mean of the sample data Population standard deviation Sample standard deviation

MinMax Sub-menu (11(STAT)6(MinMax)) Select this menu item: 1minX 2maxX When you want to obtain this: Minimum value Maximum value

Distr Sub-menu (11(STAT)7(Distr)) 1 P( 2 Q( 3 R( 4 't This menu can be used to calculate the probability of standard normal distribution. Normalized variate t is calculated with the expression shown below, using the mean value (o) and population standard deviation value (xn) obtained from the data input on the STAT editor screen.

Standard Normal Distribution

#### P (t) Q (t) R (t)

Appendix

Single-variable Statistical Calculation

<#053> Select single-variable (1-VAR) and input the following data: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} (FREQ: ON) <#054> Edit the data to the following, using insert and delete: {0, 1, 2, 3, 4, 5, 6, 7, 9, 10} (FREQ: ON) <#055> Edit the FREQ data to the following: {1, 2, 1, 2, 2, 2, 3, 4, 2, 1} (FREQ: ON) Examples <#056> through <#059> all use the same data as Example <#055>. <#056> Calculate sum of squares of the sample data and sum of the sample data. <#057> Calculate number of samples, mean, and population standard deviation. <#058> Calculate minimum value and maximum value. <#059> Performing standard normal distribution approximation on the input sample data (from Example <#055>) produces the probabilities shown below. Distribution probability that is a value less than the normalized variate when the sample value is 3 (P value for normalized variate when X = 3) Distribution probability that is a value greater than the normalized variate when the sample value is 7 (R value for normalized variate when X = 7)

Commands when Linear Regression Calculation (A+BX) Is Selected

With linear regression, regression is performed in accordance with the following model equation.

#### y = A + BX

The following are the commands that appear on the sub-menus that appear when you select 4(Sum), 5(Var), 6(MinMax), or 7(Reg) on the STAT menu while linear regression is selected as the statistical calculation type. See Appendix <#060> for information about the calculation formula used for each command.

Sum Sub-menu (11(STAT)4(Sum)) Select this menu item: 1x2 2x 3y2 4y 5xy 6x3 7x2y 8x4 Select this menu item: 1n 2o 3xn 4xn1 5p 6yn 7yn1 When you want to obtain this: Sum of squares of the X-data Sum of the X-data Sum of squares of the Y-data Sum of the Y-data Sum of products of the X-data and Y-data Sum of cubes of the X-data Sum of (X-data squares Y-data) Sum of biquadrate of the X-data

Var Sub-menu (11(STAT)5(Var)) When you want to obtain this: Number of samples Mean of the X-data Population standard deviation of the X-data Sample standard deviation of the X-data Mean of the Y-data Population standard deviation of the Y-data Sample standard deviation of the Y-data

MinMax Sub-menu (11(STAT)6(MinMax)) Select this menu item: 1minX 2maxX 3minY 4maxY When you want to obtain this: Minimum value of the X-data Maximum value of the X-data Minimum value of the Y-data Maximum value of the Y-data

Reg Sub-menu (11(STAT)7(Reg)) Select this menu item: 1A 2B 3r 4m 5n When you want to obtain this: Regression coefficient constant term A Regression coefficient B Correlation coefficient r Estimated value of x Estimated value of y

Linear Regression Calculation: <#061> to <#064>

Examples <#062> through <#064> all use the data input in Example <#061>. *1 Estimated Value (y = 3 m = ?) *2 Estimated Value (x = 2 n = ?)

Commands when Quadratic Regression Calculation (_+CX2) Is Selected

With quadratic regression, regression is performed in accordance with the following model equation.

#### y = A + BX + CX 2

See Appendix <#065> for information about the calculation formula used for each command. Reg Sub-menu (11(STAT)7(Reg)) Select this menu item: 1A 2B 3C 4m1 5m2 6n When you want to obtain this: Regression coefficient constant term A Linear coefficient B of the regression coefficients Quadratic coefficient C of the regression coefficients Estimated value of x1 Estimated value of x2 Estimated value of y

Sum sub-menu (sums), Var sub-menu (number of samples, mean, standard deviation), and MinMax sub-menu (maximum value, minimum value) operations are the same those for linear regression calculations. Appendix Quadratic Regression Calculation: <#066> to <#068>

Examples <#066> through <#068> all use the data input in Example <#061>.

Comments for Other Types of Regression

For details about the calculation formula of the command included in each regression type, refer to the indicated calculation formulas ( Appendix <#069> to <#073>). Statistical Calculation Type Logarithmic Regression (ln X) Model Equation Calculation Formula <#069> <#070>

Pressing e(MatB) copies the matrix to Matrix B, and displays the matrix editor screen for Matrix B.

k Performing Matrix Calculations

Pressing A while the matrix selection screen or matrix editor screen is on the display switches to the matrix calculation screen.

Matrix Answer Memory Screen

The Matrix Answer Memory (MatAns) screen shows the results of matrix calculations.

#### Stands for MatAns.

You cannot edit the contents of a cell. To switch to the matrix calculation screen, press A. While the MatAns screen is on the display, you can press an arithmetic operator key (like + or -) and use the screen contents in a subsequent calculation, just as with Answer Memory contents. For more information, see Using Answer Memory to Perform a Series of Calculations.

#### k Matrix Menu Items

The following are the menu items on the matrix menu that appears when you press 14(MATRIX). Select this When you want to do this: menu item: 1Dim 2Data 3MatA 4MatB 5MatC 6MatAns 7det 8Trn Appendix <#096> Input MatA = <#097> Copy MatA = , MatC = 1 1. Select a matrix (MatA, MatB, MatC) and specify its dimension Select a matrix (MatA, MatB, MatC) and display its data on the matrix editor screen Input MatA Input MatB Input MatC Input MatAns Input the det( function for obtaining the determinant Input the Trn( function for obtaining a transposed data in Matrix

to MatB and edit the contents 1 2.

#### of MatB to MatB =

The following examples use the matrices input in Examples <#096> and <#097> (MatA, MatB, MatC). <#098> MatA + MatB (Adding Two Matrices) <#099> MatA MatB, MatB MatA MatA MatB (Multiplying Two Matrices) <#100> 3 MatA (Matrix Scalar Multiplication) <#101> Obtain the determinant of Matrix A (det(MatA)). <#102> Obtain the transposition of Matrix C (Trn(MatC)). <#103> Obtain the inverse matrix of Matrix A (MatA1). Use the E key to input 1. Note that you cannot use 6 for this input. <#104> Obtain the absolute value (Abs(MatB)) of each element of Matrix B. Use 1w(Abs). <#105> Determine the square (MatA2) or cube (MatA3) of Matrix A. Use w to specify squaring, and 1w(x3) to specify cubing. Note that you cannot use 6 for this input.

Generating a Number Table from a Function (TABLE)

All calculations in this section are performed in the TABLE Mode (N7).

k Configuring a Number Table Generation Function

The procedure below configures the number table generation function with the following settings. 1 Function: f(x) = x2 + 2 Start Value: 1, End Value: 5, Step Value: 1 LINE (1) Press N7(TABLE).

#### (2) Input the function.

(3) After making sure the function is the way you want, press =. This displays the start value input screen.

Appendix <#106> Store VctA = (1, 2) and VctC = (2, 1, 2). <#107> Copy VctA = (1, 2) to VctB and then edit Vector B to VctB = (3, 4). The following examples use the vectors input in Examples <#106> and <#107> (VctA, VctB, VctC). <#108> VctA + VctB (Vector Addition) <#109> 3 VctA (Vector Scalar Multiplication) VctB 3 VctA (Calculation example using VctAns) <#110> VctA VctB (Vector Dot Product) <#111> VctA VctB (Vector Cross Product) <#112> Obtain the absolute values of VctC. <#113> Determine the size of the angle (angle unit: Deg) formed by vectors A = (1, 0, 1) and B = (1, 2, 0), and one of the size 1 vectors perpendicular to both A and B. (AB) (AB) *1 cos = , which becomes = cos1 AB AB (A B) *2 Size 1 vector perpendicular to both A and B = A B

#### Scientific Constants

Your calculator comes with 40 built-in constants that are commonly used in scientific calculations. You can use the scientific constants in any calculation mode except for BASE-N. To recall a scientific constant, press 17(CONST). This displays the scientific constant menu. Input the two-digit number that corresponds to the constant you want to recall. When you recall a constant, its unique symbol appears on the display. The following are all of the built-in scientific constants. 01: proton mass; 02: neutron mass; 03: electron mass; 04: muon mass; 05: Bohr radius; 06: Planck constant; 07: nuclear magneton; 08: Bohr magneton; 09: Planck constant, rationalized; 10: finestructure constant; 11: classical electron radius; 12: Compton wavelength; 13: proton gyromagnetic ratio; 14: proton Compton wavelength; 15: neutron Compton wavelength; 16: Rydberg constant; 17: atomic mass unit; 18: proton magnetic moment; 19: electron magnetic moment; 20: neutron magnetic moment; 21: muon magnetic moment; 22: Faraday constant; 23: elementary charge; 24: Avogadro constant; 25: Boltzmann constant; 26: molar volume of ideal gas; 27: molar gas constant; 28: speed of light in vacuum; 29: first radiation constant; 30: second radiation constant; 31: Stefan-Boltzmann constant; 32: electric constant; 33: magnetic constant; 34: magnetic flux quantum; 35: standard acceleration of gravity; 36: conductance quantum; 37: characteristic impedance of vacuum; 38: Celsius temperature; 39: Newtonian constant of gravitation; 40: standard atmosphere

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