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to print,  for next table, ANSWER: $|ttqqq@Kfq2 pyq z   i INSCALELINEPLOTLINEQUIZPARAPLOTPARAQUIZABSPLOTFUNCPLOTINEQSOLV CONICPLOT CONICQUIZCIRCQUIZMATCALCPROBEXPSTATSPRCALCMODDRAWMODSCALEMODQUIZMODFILEMODSTATLOZOOMMOD -TYIڢIڢڢIڢLuKH-Z 6To quit, turn off machine or reboot with another disk. %To return to program, press .  |t|t|||LhL~L)L^L0LoLLLLL=L]LaLeLxLxLxLLLLLHL&L-LbLMLLLLL5LxLLL'L2LoL}LLLLLLLLLL LLLLBLLLLL LLVLLLLLLLxLNLLL1LLL]L<H oN  o      L<n`cux SELECT PRINTER: to accept,  Epson printer ImageWriter printer -Parallel printer with Grappler interface cardx SELECT SLOT:!%)-1 1 2 3 4 5 6 78n  ^mVXlrL   KK L(` =  U        L   `  }L?Press .1HHH1  'F H H` FA0 HB?// 0FA0LC** 0FA0LD H*/ 0FA0ILD FA0" 'F HB>> C HB? C`> +> C`- 'F> C`^~ 0FALE)N*IB(I(I?)I PHLC,*I0J2LDN*IB(I(I?)I PHLE(I / +I` BLB LB 饝LHH GBhhLCHH GBhh 饪wC CwC` c륝 F`@8gC6hC7iC`  ` J> =`?@ CLC?> U@8`> (.? )%>Ȣ ()?>? C`+- 0FA0I+iԥi`) @A@A`mC + rC +mC rCLf  Lf LGBmC + rC +mC L=BI``0 L L ArC + AL=BmC + - L 2 L EC mC fL B- L GBH Bh7 <>?@AC lC AҍD@ AP6C7D0.Ҫ ADDD A kC lC  ALUC K AL6AHа! A h)? @A轭@A AL6A A h B ALAxC@ԭ@`؍iCإ6gC7hC`xCȊxCxC`xCxCxCʽ` jC jCL+Ԧ AԤ L@LyCLCLALJL'FLALUCL1ILIABSARCCOSARCCOTARCCSCARCSECARCSINARCTANCOSCOTCSCEXPINTINVCOSINVCOTINVCSCINVSECINVSININVTANLNLOGSECSGNSIGNSINSQRTANZZZB CCBBTBNB #ABDByB"BrBfCC#CGB0 > ȱ ȥ k [hhh` I HELP.INDEXED *` Nj Ď       L]` "Place the program disk in a drive.2 o a L( Disk problems. Please check. <` 2`EFCD A`>?ȱ 0` 7`<? N,^0Le`N^ o a    8n^` Lk QUIT: Return to program. Go to main menu. `"# "#`H h`H h`[`A `{`a)`)HHH) V `  ` "L V `Ϋ ( V` , 0L)? G 'L  ?ͮ е>ͭLA =  c` =   ^L = 0 }ȱ 0 ȥ i i L ) L08n ` [L5X Press for next screen,  ȱ ȱ w w`   ' }| N8 }|  } M8_L = o a ] o 6 `;3B=+ oȱ  otter  Line Quiz Parabola Plotter  Parabola Quiz Absolute Value Plotter Function Plotter Inequality Plotter Conics Plotter  Conics Quiz Circular Function Quiz Matrix Reducer Sampling Experiment Statistics Spreadsheet Quit 0N    ? iL  L% ` g, 0 e``t MAIN MENU:Press to get help.,Use up and down arrows to move highlighting.-Press to choose highlighted program.%1DTm  Line Plhhh`  L l0mnm n nmmlnn `HHH Xhhh`{` =   ^   ^۩L ^0LLN ` 8n `? L  a o kLE)I)I0I+I)I)I PHݭ(I,I)I.I+I(I(I0I)I PHT(I.I)I/I,*I 'F/I J֊ 'F H.I>/I? G 'F,I>-I? G H H`AILD G"> ( ? )LC?> C` G`>?& x 'F`e # 'H`LC?> P ȱ iݑ ( LE==`!I"IA?0D>??#I )#ILiF(#ILC>LOF#I !I AB`"IݩLFA?>I#I? )#ILGG(#ILC>`?#I dGȱ mGAB` xȱ mG dG quit editing MMost keys: to replace the character the cursor is on @ with most keys: to insert a character at the cursor N: to delete the character to the left of the cursor G: to delete the character the cursor is on PArrowsh or all solid) EQUIT: to leave the program \ENTERING INFORMATION @ @The cursor shows where changes will occur as you type. @------------------------------------------------------------------------------- aEditing Keys @ S: to see this screen Q: tofy a small region of the graph DTABLE: to display a table of values for each equation DOTHER: to print the graph, set the graphing speed, turn on/off the grid Kand the labeling of the axes, and select the appearance of the Kgraphed equations (solid-dot-das----------------------------------------------------------------- dOptions @ EHELP: to see this screen @EQUATIONS: to enter and change the equations to be graphed EDRAW: to graph all equations DSCALE: to change the scale on the x- or y-axis EZOOM: to magni^, 08 "T$|(+,[/12!5679;^>A6EnGI#MlOR{VW[?_ae+hk@npdqtvx{eHELP @ @To select an option at the bottom of the screen, use the right or left @arrow key to highlight the option you want. Then press . @--------------EFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdef ,LeL$%&') c7L [dm(iLL#"`.034 [d?ii8L cm2LL-``8n$8%, 5 0Mm0LKLKLMLMLSL_SLSLTLYL;TL~TLTLTLIVL;XLXLYL`L`L?`Ll`LaLaLbLGbLbLbLbLcLcL=cLJcLDcLcLcL[dLKLjRLNL\OLML>OLRL[ K M `LYN N6 ` MLK L K LL9M`K.K$ Gb c MKK#m2KK-`Cjklmnopqrstu%Ih&Ih?hBh>&IH%IH`$eJʈbJ0 YJLJ$ - YJ 0  LI LEIbJeJfJcJNdJɀ UcJLIcJ  J 祝Ɂ UcJLIcJ. YJ8ndJcJbJ JbJ ެbJ ,dJ0 b dG?LGB /ӥԦ 'H 8H8`C 'FC 'FL'FԤ +LBHiԥi`(I ()I )`(I)I(I)I(I +(I(I)ILH-*II*I(I(I)I¢(I dG)I8` HB?? C H` HB>> C H`h%Ih&I>HBH?H&IH%IH`h.LFei pLFȱ c sxлȱ pLF#I?ȱ mG dGLF:`0`(8` [`A`> @`1?,@'I 'F>  'I LG8'I`@0LGLG?$I> dG&. $ILC`?>: to move the cursor without changing anything M: to erase all characters from the cursor to the right M: to erase all characters in the current entry cConstants Me: 2.71828..., the base of the natural logarithm Lpi: 3.14159..., the ratio of a circle's circumference to diameter @ bOperations FAddition: 3+x Subtraction: 3-x @Multiplication: 3x or 3*x Division: 3/x HPowers: x^3 (x to the third power) IRoots: x~3 (third root of x) @The order of operations is @from the x-axis scale shown on the graphing screen. The corresponding y-values @are given for each equation currently defined. @------------------------------------------------------------------------------- cCommands @ C: to see this screen C

: to a DProDos pathname (that is, the name of the boot, or SYSTEM, program on the Ddisk). The boot program will run as soon as you type in the pathname Dand press . eTABLE @ @You can use this option to obtain a table of values. The x-values are takentor, press and you will be asked Dfor a ProDos prefix (that is, the name of a disk). To enter the prefix, Dtype in a slash (/) both before and after the disk name (for example, D/OTHERDISK/ ). When you press again, you will be asked for2) Shut off the computer and monitor. @ @(3) Insert another disk and press . @ @(4) If you used a program selector to run ALGEBRA PLOTTER PLUS, press D to return to the program selector. @ @(5) If you did not use a program selecABELS: to turn on/off the labeling of the x-axis @SHOW Y-LABELS: to turn on/off the labeling of the y-axis BGRAPH STYLE: to select the appearance of the graphed equations eQUIT @ @Do one of the following: @ @(1) Press to return to the main menu. @ @(e the printer turned on.) HSPEED: to set the graphing speed O(When the speed is FAST, fewer points are plotted, so the graph Ois less accurate.) DSHOW GRID: to turn on/off the grid (that is, the dots representing points Owith labeled coordinates) @SHOW X-LRINT GRAPH: to make a paper copy of the graph O(The recommended printers are Epson and ImageWriter, but you may Ouse an Epson or some other parallel printer with a Grappler Ointerface card. You must know what slot the printer interface Ocard is in and havu want to change. Make the change by @pressing the left or right arrow. @------------------------------------------------------------------------------- aOther Options @ J: to see this help screen H: to quit changing the options described below BPhen use the @right arrow key to highlight "Yes." To return to the standard labeling, @highlight "No" next to "Multiples of pi." eOTHER @The current value of each option is highlighted. To change a value, use the @up or down arrow to move to the option yon to the standard scale, simply switch the highlighting @from "No" to "Yes" (using the left or right arrow key). @ @You may choose to have the x-axis labeled with multiples of pi. To do this, @use the up or down arrow key to highlight "Multiples of pi"; te y-axis. You can change any of these @values by replacing them with other numbers. (Use to erase the @current number; then type the new number.) @ @Once you have changed the scale, the "No" next to "Standard Scale" is high- @lighted. To returln(abs(x)) y = (x-3)^(3/2) eSCALE @ @You can use this option to change the scale on either axis. (ZOOM is another @way to do this.) @ @The standard scale is -6 to 6 on the x-axis (unless the x-axis is being labeled @in multiples of pi) and -5 to 5 on thin radians) @Inverse trig: invsin(x), invcos(x), invtan(x), invsec(x), invcot(x), invcsc(x) P(These functions deliver principal values in radians.) @Parentheses are required when using built-in functions. @ cExamples By = e^(-x) y = cos(2x-(pi/4)) y = the same as in algebra. Use parentheses to make @your expressions clear. Note that spaces and upper/lower case do not matter. @ _Built-in Functions BAbs. value: abs(x) BLogarithms: log(x), ln(x) HTrig: sin(x), cos(x), tan(x), sec(x), cot(x), csc(x) (x print a paper copy of the table H(You must know what slot your printer interface card is in and have the Hprinter turned on.) A: to return to the graphing screen eZOOM @ @You can use this option to magnify a portion of the current graph. At any @time while using this option, you can press to see the entire graph. @Press again to see the four lines of text at the bottom of the screen. @------------------------------------------------------------------------------- dStage 1 @ @A small chen the form you completed first will @be canceled; all the numbers will be erased. eOTHER @ @The current value of each option is highlighted. To change a value, use the @up or down arrow to move to the option you want to change. Make the change by @presERCEPT FORM: y=( )x+( ) @ JSTANDARD FORM: ( )x+( )y=( ) @ @ @Fill in the blanks of one form. You can use integers (such as 2 or -3), @fractions (such as 11/5 or -3/4), or decimals (such as 0.05 or -1.3). @ @ @If you fill in the blanks of both forms, tng an Jequation of the drawn line or of the line parallel/perpendicular Jto the drawn line through a given point) DQUIT: to leave the program WForms of an Equation of a Line @ @When entering an equation of a line, you can use one of two forms: @ CSLOPE-INT--------------------------- dOptions @ DHELP: to see this screen APROBLEM: to have a random line drawn ETRY: to enter your equation and see its graph BANSWER: to be given a correct equation COTHER: to select the difficulty level and the problem type (findiits @equation (using , , or ). eHELP @ @To select an option at the bottom of the screen, use the right or left @arrow key to highlight the option you want. Then press . @----------------------------------------------------@(such as 0.05 or -1.3). @ @ @If you fill in the blanks of both forms of a given line's equation, then the @form you completed first will be canceled; all the numbers will be erased. @ @ @To cancel a line altogether, erase all the numbers in both forms of ble forms of its equation: @ CSLOPE-INTERCEPT FORM: y=( )x+( ) @ JSTANDARD FORM: ( )x+( )y=( ) @ @ @For each line you want graphed, fill in the blanks of one form. You can use @integers (such as 2 or -3), fractions (such as 11/5 or -3/4), or decimals displays various statistics and graphs for data Xyou provide CSampling Experiment: chooses random samples from a computer-generated Xpopulation to help you test statistical hypotheses WForms of an Equation of a Line @ @Each line (#1, #2, #3) has two possiics Quiz: draws conic sections whose equations you must find @Circular Function Quiz: draws trigonometric curves whose equations Xyou must find HMatrix Reducer: performs row operations to help you solve systems Xof linear equations @Statistics Spreadsheet:quations you must find @Absolute Value Plotter: graphs equations involving absolute value FFunction Plotter: graphs functions DInequality Plotter: graphs linear inequalities in two variables HConics Plotter: graphs quadratic equations in two variables KConess instead if @you want to quit zooming. bMAIN MENU @ JLine Plotter: graphs linear equations in two variables MLine Quiz: draws lines whose equations you must find FParabola Plotter: graphs quadratic functions IParabola Quiz: draws parabolas whose errows control the height of the rectangle, and the @left and right arrows control the width. Holding down an key at the @same time changes the size of the rectangle faster. Press to @obtain a graph of the region within the rectangle. Pr>. Press instead if you @want to quit trying to zoom. @------------------------------------------------------------------------------- dStage 2 @ @Use the arrow keys to expand or contract the rectangle that appears on the @screen. The up and down aross will appear on the screen. Move it to the center of the region @to be magnified by using the four arrow keys. To make the cross move @faster, hold down an key as you press the arrow keys. When the @cross is in the right place, press : to see this help screen K: to quit changing the options described below @DIFFICULTY LEVEL: to choose whether the problems are easy or hard RAn EASY problem involves a line with a simple slope and an Robvious y-intercept. Since that is not necessarily the case Rwith a HARD problem, you should look for two points on the Rgiven line that have integer coordinates. DPROBLEM ow CCENTER/VERTEX: to select whether the center (of a circle, ellipse, or Rhyperbola) or vertex (of a parabola) will be at the origin Ror elsewhere DPROBLEM TYPE: to select the type of conic R(The MIXED choice presents a random selection of circles, Rparaboption is highlighted. To change its value, press the @left or right arrow. @------------------------------------------------------------------------------- @ `Other Option @ M: to see this help screen K: to quit changing the options described bel( ))^2 = ( ) Oor y - ( ) = ( )(x - ( ))^2 Oor x - ( ) = ( )(y - ( ))^2 @ @ @You can use integers (such as 2 or -3), fractions (such as 11/5 or -3/4), or @decimals (such as 0.05 or -1.3) to fill in the blanks. dOTHER @ @The current value of the type (circles, parabolas, ellipses, hyperbolas, Jor mixed) and the location of the center or vertex DQUIT: to leave the program [Equation of a Conic @ @An equation of a conic is given in three forms with blanks to be filled in: @ K( )(x - ( ))^2 + ( )(y - -------------------------------------------------------------- dOptions @ DHELP: to see this screen APROBLEM: to have a random conic drawn ETRY: to enter your equation and see its graph BANSWER: to be given a correct equation COTHER: to select the problem e all the numbers in both forms of its @equation (using , , or ). eHELP @ @To select an option at the bottom of the screen, use the right or left @arrow key to highlight the option you want. Then press . @-----------------ch as 11/5 or -3/4), or decimals @(such as 0.05 or -1.3). @ @ @If you fill in the blanks of both forms of a given conic's equation, then the @form you completed first will be canceled; all the numbers will be erased. @ @ @To cancel a conic altogether, erasorms of its equation: @ @GRAPHING FORM: ( )(x - ( ))^2 + ( )(y - ( ))^2 = ( ) @ AGENERAL FORM: ( )x^2 + ( )y^2 + ( )x + ( )y = ( ) @ @ @For each conic you want graphed, fill in the blanks of one form. You can use @integers (such as 2 or -3), fractions (su), fractions (such as 11/5 or -3/4), or decimals (such as @0.05 or -1.3). @ @ @To cancel an equation altogether, erase all the numbers (using , @, or ). WForms of an Equation of a Conic @ @Each conic (#1, #2, #3) has two possible fTRL>, or ). UEquations Involving Absolute Value @ @ @Each equation has the form y-( ) = ( )Abs(x-( )), where Abs is the absolute @value function. @ @ @Fill in the blanks for each equation you want graphed. You can use integers @(such as 2 or -3 in the blanks of both forms of a given parabola's equation, then @the one you completed first will be canceled; all the numbers will be erased. @ @ @To cancel a parabola altogether, erase all the numbers in both forms of its @equation (using , . @------------------------------------------------------------------------------- dOptions @ DHELP: to see this screen APROBLEM: to have a random parabola drawn ETRY: to enter your equation and see its graph BANSWER: to be given a correct equation DQUIT: to leave the program ZEquation of a Parabola @ @An equation of a parabola is gL|L}L}L=}LN} z}|Y 3K G f =}ඍ  K } ; !K ]K m|[|n|\| },^0 ZK|LI|`}N}K$fp0K$KL}||||||||HELP EQUATIONSZDRAWxSCALEZOOMTABLEOTHERQUIT||[ZFUNCTION PLOTTER]GRAPHS FUNelp screen H: to quit changing the options described below BPRINT GRAPH: to make a paper copy of the graph O(The recommended printers are Epson and ImageWriter, but you may Ouse an Epson or some other parallel printer with a Grappler Ointerface card. ange a value, use the @up or down arrow to move to the option you want to change. Make the change by @pressing the left or right arrow. @------------------------------------------------------------------------------- @ aOther Options @ J: to see this hd; all the numbers will be erased. (The @inequality will stay the same.) @ @To cancel an inequality altogether, erase all the numbers in both forms (using @, , or ). eOTHER @ @The current value of each option is highlighted. To chwhen the cursor is on @the inequality sign. To remove an unwanted equals sign that follows > or <, @press when the cursor is on =. @ @If you fill in the blanks of both forms of a given inequality, then the form @you completed first will be canceley <= ( ) @ @For each inequality you want graphed, fill in the blanks of one form. You can @use integers (such as 2 or -3), fractions (such as 11/5 or -3/4), or decimals @(such as 0.05 or -1.3). @ @You can change an inequality by typing =, <, >, <=, or >= graph (sine and cosine curves, tangent Rand cotangent curves, or secant and cosecant curves) XForms of a Linear Inequality @ @Each linear inequality (#1, #2, #3) has two possible forms: @ GSLOPE-INTERCEPT FORM: y <= ( )x+( ) @ NSTANDARD FORM: ( )x+( )@DIFFICULTY LEVEL: to choose whether the problems are easy, moderate, or hard R(depending on how many of the following occur: a vertical Rstretching or shrinking, a horizontal stretching or Rshrinking, a vertical shift) DPROBLEM TYPE: to select the type ofion is highlighted. To change its value, press the @left or right arrow. @------------------------------------------------------------------------------- @ aOther Option @ M: to see this help screen K: to quit changing the options described below ec(x), cot(x), csc(x) T(x in radians, parentheses required) @ @ @The order of operations is the same as in algebra. Use parentheses to make @your equations clear. Note that spaces and upper/lower case do not matter. dOTHER @ @The current value of the optonometric Curve @ @Use the following operations and built-in functions when entering your answer. @ JAddition: 3+x Subtraction: 3-x DMultiplication: 3x or 3*x Division: 3/x @ @Circular functions: sin(x), cos(x), tan(x), sTRY: to enter your equation and see its graph BANSWER: to be given a correct equation COTHER: to select the difficulty level and the problem type (sine and cosine, Jtangent and cotangent, secant and cosecant) DQUIT: to leave the program UEquation of a Trig, use the right or left @arrow key to highlight the option you want. 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BLԈ+ LԈ \ LP \LȈLԈ \LȈ )   L \ L  uKhdhcGhiX}_,KE$CEF,02,0-,.,0 iK`P_ ?K}LF0 wTwvuvuvuvuvuuuuuuuvvvvvJvJvJvovovovvvvvvvvvvvv ,,,<<<<z` y jy y @ 9z` +yqz8nd @ .z` y jy y @ z`L|LL~LY~LL9LJ z 3K|Y G f 9ඍ 8n K  ; !K ]K t|b|u|c| L~,^0 ZK|LP|`L~JKyp0K$KL||||||||HELP EQUATIONSZDRAWxSCALEZOOMTABLEOTHERQUIT||JZABSOLUTE VALUE PLOTTER xvquLvu"u-u4u>uGuHELP'PROBLEM`TRYANSWEROTHERQUITVupuuLZCIRCULAR FUNCTION QUIZADRAWS TRIGNOMETRIC CURVES5WHOSE EQUATIONS YOU MUST FIND 3K *Ku8n Lv`uuu-v\uLuLuLuLuv vuuuu vvOTHERLtLvvLuLvLvLvL x z uY 3K G t v qඍ ]\8n  K v ; !K ]K tqttrt vv,^0 ZK uL_t` btm f t+i-+!i! f$8$&8&''383 tL3fȷ׷`tȷt׷tt-2 Pi2 Pi-44vv`wg`,w 6K` {ඩ 9K= |L6K\YOUR TRY w  񄭥w q RP q RPw  L{hh q RPʽL q߄ RP q RP` q RP턭 hwiwjwkwl`wpw wV{wa i8Ne i Nmaa V8NV wwk w IΤw8n`Nw w8Iw I8nw8nw8nw ÀLΤwޠ kw ` imwiLÀ`,w0`Nw Cx`  jwkw`gwbU wL~ ܀ G 5,w  VN`  ܀L~  ܀L~? L~ ܀ L~ ܀L~L  L ܀L~L ܀L~   G A w w`w g ȱg `  "wg#wKcHdHc~d uKhdhcG~h~i~X~_~,~KE$CEF,~02,~0-~,~.~,~0 iK`P_ ?KtVF0  Myȱ Nyȱ Hȱ H @ = @ @chh +` @= @c @P8`w y?wk%V ȑ >0> w y>?`w Àwkmwk` wwVi>km>?`YzLz}NzMzw)GRAPHS EQUATIONS INVOLVING ABSOLUTE VALUE(y-( )=( )Abs(x-( )) (y-( )=( )Abs(x-( )) (y-( )=( )Abs(x-( )) @}m}}5}8};},}/}2}~"~1~@~C~ ~~>}"~k}1~ ρ` Vi>km>?` > =<ȱ =` w` BK} WK` ?K:~AF0 0>  ρ>?` 뇬kmk`k`I  _1:#2:#3:!or!or!or 4 G` > ȱ   ȱ k-   ` @! π=Ү    kL pL  }L` }PuQs }P( )y <= ( ) y <= ( )x+( ) %%( )x+( )y <= ( ) y <= ( )x+( ) ~~~~~~~~$~nD%%%%%%%% ~~~"Bl # INEQUALITIESpDRAWSCALEZOOMOTHERQUIT?~U~VZINEQUALITY PLOTTER +GRAPHS LINEAR INEQUALITIES IN TWO VARIABLES      %%( )x+( )y <= ( ) y <= ( )x+( ) %%( )x+ Show grid:}$}4}D}}}YesNo)}/}YesNo9}?}5Yes9NoI}O}5Yes9No z 3K}Y G f ͂ඍ 8n K ; !K ]K }}}} ),^0 ZK}L}`}.f}/f p.fK/f`)ނy}|L}~~~!~)~2~HELPLT}L)L6LL͂LL|Lނ *K|`||| }||L7|LO|LO|LQ|||||`| 5 'K }|, 0͞|͟|͠| K|||`||||||||||||OPTIONS:  Print graph:&Show x-labels:&Show y-labels: }8n`N} }8܁} ܁8n}8n}8n} OL>}ޠ k} ` im}iLO`,}0`N}  }}LY~gF~`F~g`ˠ "~ʈҠ 1~ʈ`Ġ ` (solid(dotted(dashed fLv `LLvLv ` P L L   } }  ` ف  G A } M`g h ` }  }g}i}kʈ`(Va i8e i maa V8きV }}k } ܁?`~Ҁ BK| WK` ?K|5F0 0> } ~>?`} O}km}k` (V}i>km> 6KLY 8X_.m  N ihgEF 2L܃L @csK + KL&I% H$L&I' kH&a .0 iK$&HiIi&' JX`$%H8ILكѭ$%&'LكL $%&'.0$%  ΄Lb`` L}-iL HK cKiL`.0EFL$Hx $x%x0x1x?xxxNx8nx?xyaa  Rxma Sxi Az?xy JxVV8aVx xym?zyLs ?xyAz `Nb `ȱ ,:1 )8Ez8nb`?x Hz`Gz` NV 8n>z |L? x  | r r tL`q =x% DtLUq!=x #t  LUqLPqL`q r r=x tL`qL`q  rLUq L`q #t  ` Zx` bxyy` Bx=xFx Nxx`>x ?L%{LT|L|L$}L~LĹL3L˃LLL$q,Iz`  v!zN>zEz8n>z r8n | r  r t rx ;L r V,x s s,b0LrU x rL`q ~ s,b0?xy]?x ZLqd,,=z098n=z CzDz T|?x_ LrU   @ @Lq zzȱ zz`Ozɀ- yOzLy yOyyPyL] !zey"zfy q RPPz` q'z RP qJz RPQz` qEz RPRz yOzPz ymOz`zz`Ii`yryQyKyyyyyyyzz zzzz23(1/2vvN ඩPzQzRz qy RPy\ y @yLxyy @yyyLxy @yyyzPz .y8 yy y q@z R] PePyy yQz8 yy yx y) yRzɀ-Lx+ yRz y 0 yzzඎ3Find an equation of the dotted trigonometric curve.y =; ȱ ݅w k`x )`x8nx `  @ ;   ( x8`,xH G qhH 9Kw K 6Kh`tYOUR TRY OPTIONS: Problem type:Difficulty level:1vQv8v?vJv"Easy'Moderate0HardXvbvlv"Sin,Cos*Tan,Cot2Sec,Csc v G` BK u WK` ?KOu7F0 0L LH hH { h`,0`N   6` 6`g#`#g`L N>=8n> - ; +?' #L L =8n>LL Nb`> < LZN>L LL ,> - ; ? L {{LE ӆ`g ȱg `   ghijkl`Va i8Ie i Imaa V8IV k  B8n`N 8B B8n8n8n Lڇޠ k ` imiL`,bU L܅" G 5,, 0 K :VN`  ֆ 0Lօ Lօ  ֆ   Lօ? L߅ LF L߅ L߅ ֆ Lc L      ` ?  G A %I K uK,i ބLr ΄Lr,h ބLrJ0Lc.JEF {K, `I'L H& ~KL܃HI`` / }  A N  ӆN  E EL V # >Ȍ? _V a   `   Hx Hx h h L   |=xx>x xy/x  xzt x{t  }Lt  |LrL uvFzDzGzCz  ́ ́HzCz  ́ ́,=z& "Dz v,bU  zLu`   ́  ́ "  ́ Lt uvGzHzCzFzDz  ́ ́,=zDzLt Lku uvFzDzGzCz  HzCz HhHh H h Dz` !zL vLu',=z cgkosw{zN=zFzDzEzCz  ȩ0 CzDz  |LLLLL`,a  a   ,b`>.?ҩөԩթ=HZH@ @hh=`8nb`nk'-+*/()0123456789Cz Dzzyz zi "zy6z#zi,zy6z-ziDzJzaL12 1 쁪L+ 2){ z z`Ԧ nLԦ yLiԥi`@zʽ g!hklʽ i!jmn`gIg` n y@z@z`@z !`@z`gj`Nb Ȍ>?? *>> rr^ .U [8nz  | ~CzDzCz i  )~ V ~,b h~LC},z0 }  |CzEzCz }L}Dz,>z }  2~ } DzgikmPUZ_nsx} di z8nIz {  z   }zz z    L{ H|{I|{ ,^0 }zLe{`    {` { ,Iz0 |L ,^` ,Iz0 |L{{$| MATRIX REDUCER  zBƒ !,7BJh“:X  *5@ZzazhzozvzRow 1:Row 2:Row 3:Row 4:Row 5:zzzzzzHELP  NEW MATRIX CHANGE MATRIX* REDUCE MATRIX<PRINTFQUIT/RIGHT, LEFT ARROWS HIGHLIGHT. ACCEPTS.( ) to ( )row( ) row( ) by ( ) row( ) and row( ) didit=u}uu   PZdU_i. [yyyx qxxxxxxxxYyyy REDUCE MATRIXxxx to perform operation, xxxxAddMultiply Interchange Back up one stepx[y(yyCyy.( )rowEzCz wCz`FzDz 8nb` @ Ax,=z0w    U @ imAx@x -Axȩ/Ȍz z z z@x$ zzLw8n=z CzDz T|hhLvAx Dz0Lw`!z8!z!z`w w w `x x `PUZ_ LBudHidhiLBuQIQ,=z   ́Lt ́ ́ZH_Zh_Lt!zH whwGzHzx wȌx x!z`!z8w!zʠx wx ʈxHzʽGzʽ!z`Nb}  }   t  |L_  &_LFzzmFz L  } } &   }L } } Dz   DzFzDzL } L }z  -NL 쁅   쁅   @ L̄ L <` sǠ )9 t Lr`!ЩѠ f f 'fv5#7 fv 9 !f<77 fv995#5 *f:!"` _w +'9v/ 9 t99vvv   ##ʎvKw W  D w ;L v  5r s tL uNw *Kv,w0`…    t  Ǡ t`w fU w8`B> ȩ0  ? /w +` +`   U w8nw` ꩰ  LrLwLL~LLLLLLLLL LGLLLL4LlLLvLL܃LL?LĄL{LNLtL)LLKL+LL_L8L,0,0`N HH Hඍ 'Kh hh, 0 q,0 | D tLG vLq`w,  D  xv K, 0w LqLG 3Ώ5󎀌` 555 Name of file on this disk: w35 5`w35 5`<7 ;L67 ; b6 ; }8 4L 6#7$7%7&77m7i7 7 4`77777] L|67 6e complete list.w34 ̝4` 4`] >4 84, L2 4L644x3Select file to be deleted. 8 5   5 `55, Yes0 No File exists on disk. Delete it? 8 5 S? 5L=58n L5/ q m( q8n<*  *<* * Nq<* *<* + L5# )g#)h# L# ) LqhhLEq X$), L{#2 Zq, 0` q U *` h% qLq $, L{# %, ` 'L# %L" ! ""L'" ""L'""" *q -L-L0L Lm(, ʏԏޏ Item LabelP Y ʏb ԏk ޏt } Column AColumn BColumn CColumn DColumn EColumn FColumn F Lq cq8n `N")ºǺֺۺȺ׺ ]qJ̠ s!Ѡ v vPv K +뭝 @vv iiKP K  hvvvv淩0緩 PLt!iH"ihL fwꭝI~ 99w x i H% hi 99~~-ʭ+i+ !i ! +i +Lf8nN 3K G lKw 8n 9KkvNv$i%im(i8v iiP K0 WKJm(im(ivvv 6K 9K ; 6KLY }  A vuse the arrow and keys to expand or contract theregion to be magnified. Move cursor.Manipulate box.NaxkuVuTu3 'uUTu) 'uLuUuTu8TuUu8`Tu`Tu8UuUui`LHKLhvLwLwLwLwLrLHKLhvLwLwLwLwLr 0L$ . [% qL$ /L$ L$` qaOL0q)R)    !  kR)R)ܭ   8 9 Lk [%N   ) ) 8n  [%` Y)  [%` L% Wq mq X$), ` Zq, 0 B' 'Lq $, ` ( ( q m(LqN   >  ) Z) 8n ` ` Lz$  n)N   ?0 q V0 [% ;8n L[% Hh 4 [% J% qL$ !/ J% ;`); ;8n?<;N?< ,?<;N?<;,?<0  ;><i> to accept, 5 8>;, 0L;`B;Select subdirectory: @<L ;>< 8 L)9 : ,:L&9  : Y:L&9 ;  : 9 !: ; ͭ٩L;   H H-  Ƞ:L :Ҡ: h h ` : :`: : `   : 8黅   9 !:ιL; + i ͭ : i i r3`    ` 8 8 8 8`88/ Yes3 No Save under the same name?N  >  : : : :  B : ;8n L 9 : ;? : : :L#9 4  `/ :ȱ :ʎN ` 7`7w37 7 7`w37 7 7` 6q777m77m7`w37 7`w37 7`,,   H8 88   L8 3`=8C84 Yes8 No 2Do you want to save changes in the file in memory? 2L67 777m7i7LO6 6L 67LO67 ) 6ȱ 6 ;`w37 7`6<No subdirectory]w377 ʆ7! ʎ7`w377 U7 ˆ7 ˎ7` !qg7h7_8g7h77lK  N LJ +=獍썍񍭙  KPKL{P {̠ { { { {P  { {K Ѡ { {P  { K KHIJ HK cK TK NK cK QK QK cK KK KK cK NK NK cK)x  D |} ;LG Luy  D O}  K, 0̭ e} K, 0 y, 0L{ 3K GN8nʎ||ʎ||99| | | }|H|ih t9ʎ9 fL fw !i ! +i + f   ~  ? }  LRx xKxxLx ,^0 }L,x`    x` x  L? ,^`xx STATISTICS SPREADSHEET ;DISPLAYS VARIOUS STATISTICS AND GRAPHS FOR DATA YOU PROVIDEx   wwwwwLErLwrLyrLr *w;wXwjwwwwGrouping data:Smallest value in column: 5Largest value: Least value in first group: Least value in second group:wwjwwww * *ɍ%ww There is no data in this column. z hx  v ; 5 GLu 5 GLu   9  9vv  9vv t  99`Z FREQUENCY Select columnֺ庙vvvȇ Mean:  Median: Standard deviation: KPvK N |PfP|wLvLRwLxLxL2xL(xL5s vuVuYxZx8n  Vu Yu ;, Xx Yu \uLu Yu _uLu Yu euLu Yu buLu? OvLuN   YuN `8n L v *,ax0 G Yu 5 Yu8naxLu A Yu } YuNaxLu Lu  D fv  G ALhu vWx8iUx(mm &U) &gͺ͹8U) & qL&gHhHY)X)U)X)  / !q +` q ` qU8` qg);-#${# EDIT DATA:*#*,*5*HELPINSERT&DELETE2QUIT,:+  *:+ * Nq:+ *:+ 7 Lb* **** LI* * LqhhLEq 2 >- qL* 2, ` 2, `"***22**FILE:+++++(+3+{    |  砍 g|L4||    ,LJ!s|  g|| 젍 g|) LH h tLRegression line: y = ()x + ( undefinedȇCorrelation coefficient: ȷ׷ @@ |ݍ̺Ѻ|ݍ8n Lu,  L/z @;} @'}ݍ` @}LR{ @} @| @|8nLJԅҍc|ӍdPefԩ`KLPL|| ||L+ oK rK, Lu 6K 9K ;Lu }  A | | ; 5 GLu 5 GL)8U) Wq J%"mU)iU) to accept, )x))&Press  ))x))Number of Rows: ))))))12345 6Delete:Insert:#l#qU) ](U) *q q%mU)iii ](L(νL'mm` !qgS)hT)` !q Wq & V)JJJJL(W)g) V)g8W) 9q J%% . @------------------------------------------------------} ӑݍ؍}+}ݍ̺̺Ѻ?}؍̺Select first columnSelect second column}} ;You must have at least two columns to do a scatter diagram.}}}}~ ~~}HELPFILE ENTER DATA EDIT DATAJQUI L? v` ⢝ + H HK' ⢘ + @ ꢠ +   t % h h 8`8`K N ӘEMem: L L ꠺L+ʊ always be exact because they will be rounded off. @When you are finished changing the matrix, press . eHELP @ @To select an option at the bottom of the screen, use the right or left @arrow key to highlight the option you want. Then press . @@If you do not use any decimals, all calculations will be done using fractions @whenever possible; every number will be exact. If you use decimals or if @fractions become too large, decimal approximations will be used for calcula- @tions; results will notwill be applied to the new matrix. `CHANGE MATRIX @ @The cursor can be moved by using the four arrow keys. Each of the entries of @your matrix can be an integer (such as 2 or -3), a fraction (such as 11/5 or @-3/4), or a decimal (such as 0.05 or -1.3). @ ow 4 plus row 3, fill in the blanks @on the "Add" option like this: PAdd (2 )row(4 ) to (1 )row(3 ) @Press at the end of the line to perform the operation. The @resulting matrix will be shown in the middle of the screen. Further @operations e "Back up one step" option, fill in all @the blanks with numbers. A blank after "row" must be filled in with a row @number; any other blank must be filled in with the number you want the row @to be multiplied by. @For example, to replace row 3 by twice ron operations you can use: @ RAdd ( )row( ) to ( )row( ) MMultiply row( ) by ( ) JInterchange row( ) and row( ) EBack up one step @ @To perform an operation, move the cursor to the appropriate line using the up @and down arrow keys. Except for thw reductions on the displayed matrix HPRINT: to make a paper copy of the displayed matrix O(You must know what slot your printer interface card is in and Ohave the printer turned on.) IQUIT: to leave the program aREDUCE MATRIX @ @There are four row reducti>. @------------------------------------------------------------------------------- dOptions @ IHELP: to see this screen CNEW MATRIX: to select the size of a completely new matrix @CHANGE MATRIX: to change the displayed matrix @REDUCE MATRIX: to perform roGOTHER: to print the graph and turn on/off the grid and Nthe labeling of the axes HQUIT: to leave the program @ eHELP @ @To select an option at the bottom of the screen, use the right or left @arrow key to highlight the option you want. Then press ACCEPTS.'1;E k~ʏԏޏ Item Label~~~~~~NumberLeastGreatestMedianMeanStd Dev @`ºǺֺ  `giiei`EF `  9E FL L%EFE`   V~O~a 9  v~ w~ ` ~ ~ ʊ e i Ll  ]~ ^~ `,  g`g)~ ȱg~` Ll  ``_8gh`~aJTLGU() (ILX(I(~ ,0LDT`  ` L@ m`  L ei gJJJJiۃg8ۃghh`` 8JbJ LI.bJbJ ` 9cJ  MJL"J WJ`$0 MJL?J`&&&*` 0bJbJ `mJrJwJ|Je+wnk'hV֛>  Jc JʈPef=` @    y   D t GLq+r4r7rPRINT:CrOrWrgr HistogramTable Single sample)Quit, 0  D r Xs ;  G AL쀩 O{ hr s :͖ <    y L,0ѭʩ  s ; LrsLBvLwLwL yLyLzLzLO{L{L{L~L~L~LALLLLL L:LLL FOR STATISTICS, TO QUIT.ɍ!"#,BXnƸܸ4J`vȷ׷!"#,BXnƸܸ4J`v+, -ι& to see entire graph, ,PRESS to accept, L v ʎ` v ʎ`ʊ `~m~i~~`LLL"L.LqLlqLyLN,0  NNćY 3K } 5 Gɍ  LgJ`gJ`  N  ;8n L  ͙ԩLp. 0͙Lp͙Lp Ls O~aV~ 4 g)iegghih`,0  , 0 +~  t  L?  }  -NL  j` Calculating...0   L Ą J 8  ۩ L   ` ⢠ +멠 t8   .uPsss)s0s=sIsOsOs % of SamplesSample with Smaller with Larger Mean Mean[s|#"}"S}q{-~' ~D~~g*hu!.:E!NpIV-u]ˍxcqi.͓mpqL!tZ'bvچyxᰮzg{͏|h}~9~> t2O." -NL $ B L/Number of samples:  i uu  z @ @  ŀP wL%  i LzN N P ~ L L@ O{ @0 @ yځLMean of sample means: Std. H   ? L L L ~L{Q[^CHOOSE:up, down arrows to highlight,  Continue old sampling Start new sampling Quit( ̀L+ ̀Lꭖ ဍmi` m`  *t ^s ŀ^s ̀ 9Ζ  U (`ȩsunu fu!i$!|||L|ȩ|L||LPЩuѩ5 9 6f *f5Γ`K ӑ to pause, +>p[~L~Press to resume, |~~Enough already! I quit. ~ۺۺ   `N 0 h~ b~ A Ly~~010 ۺ}͓nu  nu +P +Lf} ŀ  P + K {ǍJ  WKLS}N~P ۠ 8n~࠺ Au   +࠺ ꩽ w࠺ ࠺   w }L Fu,L}90L}i`Fu #~Fu)  6KL  <  V~ ;  L{?L{ O~LX| L/| G A  y L| < y w~8n  ;L| z̠ w @uꭓ i ~࠺ +뮩~uiHuih '#Ω~Ω~Ζҩsu  su +L + ŀK fK + ŀK    FuȌpypy ȱ Ȍpy  py Hȱ Ȍpyh Fu`  L7ytt7ut / jxix + RP5uQ6u`Lw7uCHOOSES RANDOM SAMPLES TO HELP YOU TEST STATISTICAL HYPOTHESESvwnrTq www 箢wwL+  } bx *Kvx꩞ 6K &x8n  3K G A L` f{H hH  h (U nƸܸ4J`v+, -ι&100102095|u̺̺Ѻu̺ @` @` @` @` @`ȷ׷!"#,BX6%(]9t@tItYthtptxtHELPDEFINE SINGLE SAMPLE# MANY SAMPLES3TABLE<PRINTEQUIT/RIGHT, LEFT ARROWS HIGHLIGHT. ACCEPTS. Sample size:Population mean: Population std. dev.:7Value to test:-L dev. of sample means: ҽ4 |Au w O{ @g %Lk N : Percent less than  `  D    y  y, N  Lt  ʃ ; L? ȃL L؂   z̠ w֠ ֠ Ѡ w֠  zLK  LL ,0  Ń ; L @u @xu5u6u ꠺L+5u6u̺Ѻ`)уԃ to repeat, > 2ȱ will need a disk formatted for ProDos. Place the disk in a @drive before selecting the SAVE or LOAD option. @ @To select an option at the bottom of the screen, use the right or left @arrow key to highlight the option you want. Then press . @----for your data file (if you chose the SAVE option) or @select the name of a file using arrow keys and (if you chose the @LOAD, CATALOG, or DELETE option). @ @Press if you want to quit or to change disks in a drive. eFILE @ @To save data, you the entire disk) @using the up and down arrow keys and . Sometimes subdirectories @have subdirectories of their own; make your selection in the same way. @ @When you have selected a disk and possibly a subdirectory, you will either @type the name turned off.) Use the up and @down arrow keys to highlight the name of the disk you want and then press @. @ @Some disks have subdirectories, any of which can contain data files. Select @a subdirectory (or "No subdirectory" if you want to select of all disks presently in a disk drive on which data can @be stored. (If your Apple has more than the minimum amount of memory, a RAM @"disk" will also be listed; this is a location in memory where data can be @saved, but it is erased when the computer isll others must be letters or numbers. @(No spaces or punctuation marks are allowed.) After you have typed your @file name, press . bSelect File @ @When you choose the SAVE, LOAD, CATALOG, or DELETE option, you are first shown @a list of the names unt @of available computer memory. In the lower right corner of the screen you @will see the percent of remaining memory. bFile Names @ @The name of a file may contain up to 15 characters. The first character must @be a letter (upper or lower case) and ato "Height" @and "Weight." @ @To enter data or labels, move the cursor around the screen by using the arrow @keys. Because there are six columns, up to six sets of data can be entered @on the spreadsheet. The number of rows you can use depends on the amout all the heights in Column A and all the weights @in Column B. A given row would contain the height and weight of one @student. The Item Labels in this case could be the students' names or @identifying numbers, and the column headings could be changed t represents a set of data. Each row of a given column @contains a particular item of data from the set. Both a column and its rows @can be labeled. @ @For example, if you wanted to analyze the heights and weights of students in @your school, you could p standard deviation of each Ncolumn of data GGRAPH: to draw histograms and scatter plots for the data you have Nentered HQUIT: to leave the program aENTER DATA @ @On a spreadsheet, numbers are organized in rows and columns. Each column @of this spreadshee computer's memory (and from the screen) BENTER DATA: to enter and make changes in data CEDIT DATA: to insert or delete rows or columns on the data screen CCALCULATE: to calculate and display the largest and smallest entries, Nthe median, the mean, and the------------------------------------------------------------------------------- dOptions @ HHELP: to see this screen HFILE: to save data on a disk, load data you have previously saved, see Nwhat files are on a disk, or delete files from a disk or from Nthe3Ȍ0310 ȱ Ȍ0  z1 2L--------------------------------------------------------------------------- cOptions @ EHELP: to see this screen ESAVE: to save on a disk the data you have entered or edited ELOAD: to load into the computer data that you have previously saved BCATALOG: to see a list of all files on any data disk presently in a drive CDELETE: to erase files from any data disk presently in a drive K(This has no effect on the data in the computer.) ANEW FILE: to erase the data presently in the computer K(This has no effect on ions @ IHELP: to see this screen GDEFINE: to enter the population mean and standard deviation, the sample Osize, the mean to be tested, and the least and greatest sample Omeans to be displayed in a histogram @SINGLE SAMPLE: to see a complete list of one sa labeling of the y-axis eHELP @ @To select an option at the bottom of the screen, use the right or left @arrow key to highlight the option you want. Then press . @------------------------------------------------------------------------------- dOpt frequency Saxis of a histogram ESHOW LINE OF IBEST FIT: to select whether the regression line will be shown on a Sscatter plot HSHOW GRID: to turn on/off the grid DSHOW X-LABELS: to turn on/off the labeling of the x-axis DSHOW Y-LABELS: to turn on/off the--------------------------------------------------------------------------- `Other Options @ N: to see this help screen L: to quit changing the options described below ASHOW FREQUENCIES FAS PERCENTS: to select whether percents are used to label thed entering the two endpoints, press . aGRAPH OTHER @ @The current value of each option is highlighted. To change a value, use the @up or down arrow to move to the option you want to change. Make the change by @pressing the left or right arrow. @----be larger than the smallest data value; @otherwise, some of the data will not be included in the graph. @ @The second left endpoint must be large enough that all the data in the selected @column will fit in fifteen or fewer groups. @ @When you have finishee range of values for the first bar on the graph) is determined @by the first two left endpoints. All other groups are the same size as @the first one. Both endpoints must be integers or decimals (such as @90 or 7.5). @ @The first left endpoint must not n as numbers Kor percents and to turn on/off the regression line, the grid, Kand the labeling of the axes EQUIT: to return to the Statistics Spreadsheet menu cHISTOGRAM @ @You must specify how you want the data to be grouped. The first group @(that is, thgeWriter, but you may Kuse an Epson or some other parallel printer with a Grappler Kinterface card. You must know what slot the printer interface Kcard is in and have the printer turned on.) DOTHER: to select whether the histogram frequencies will be showm (bar graph) of the data in one column BSCATTER: to draw a scatter plot of the data from any two columns Kand the regression line (line of best fit) DPRINT: to make a paper copy of the graph presently displayed K(The recommended printers are Epson and Imatom of the screen, use the right or left @arrow key to highlight the option you want. Then press . @------------------------------------------------------------------------------- cOptions @ EHELP: to see this screen @HISTOGRAM: to draw a histogra DATA.) CDELETE: to delete a row or column from the data you have entered K(Caution: You cannot recover anything you delete, unless Kyou saved the data on a disk.) EQUIT: to return to the Statistics Spreadsheet menu dGRAPH @ @To select an option at the bot---------------------------------- cOptions @ EHELP: to see this screen CINSERT: to insert blank columns or rows into the data you have entered K(To enter data into the new blank rows or columns, return Kto the Statistics Spreadsheet menu, and select ENTERany disk.) EQUIT: to return to the Statistics Spreadsheet menu eEDIT @ @To select an option at the bottom of the screen, use the right or left @arrow key to highlight the option you want. Then press . @---------------------------------------------mple chosen randomly from the Opopulation AMANY SAMPLES: to see a histogram of means of randomly chosen samples HTABLE: to see a table of sample means and cumulative frequencies taken Ofrom the current histogram HPRINT: to print on paper the current histogram, its table, or a random Osample IQUIT: to leave the program aMANY SAMPLES @ @To select an option at the bottom of the screen, use the up or down arrow key @to highlight the option you want. Then press . @---------------------------------------|_xKJiV֘: !ʈA !ʈ`3 ` (solid(dotted(dashed cP `  ` c P` @,lKK )P `  H I ` ) P` ݄݄ބބ?`wɀ H- ,h I0݄݄w`wHɀ - ,h H 1 ,/ ,hLnw8 m򄪽 ݄ mwwȱ v݄`Ii`K˄„τĄӄƄ؄Ȅ149161/49/425/449/4KKK  ݄@u wau ݄Au cwbu" LCxM ݄Bu wcu ݄Cu ҃wdu ݄Du weu LCx ݄Eu wfu ݄Fu ҃wgu ݄Gu whu LCxwɀ H- ,h L*1 ,/ ,2L,?m mխw q RP ` q RP m q RP m` , q RP ` ` >w?wTwUwބ݄{ ݄=u 8w^u ݄>u w_u ݄?u 8w`u ҋӂthe population @statistics, and use the PRINT option to get a paper listing of the current @sample. dDEFINE @ @Move to the number you want to change by using the up and down arrow keys; then @type a new number. Press when you are finished changing nSAMPLING EXPERIMENT menu aSINGLE SAMPLE @ @If you press you will see another sample randomly chosen from the @population. You can return to the main SAMPLING EXPERIMENT menu by pressing @. Use the DEFINE option to change the sample size or ------------------------------------- dOptions @ R: to see this screen @CONTINUE OLD SAMPLING: to continue adding random samples to the histogram Wnow being displayed CSTART NEW SAMPLING: to start a completely new histogram QQUIT: to return to the main {{{{{{SCALE: Least x-value: Greatest x-value: Least y-value:,Greatest y-value:.Standard scale:-Multiples of pi:    >{{>NoAYes{{>NoAYesᄱᄬ?`wɀ H- /h I0w`wHɀ - /h H 1 // /hLqw8 m mwwȱ v`Ii`K΄ń҄DŽքɄۄ˄149161/49/425/449/4KKK ter program may be copied. No other license is granted and all other @rights are reserved. @ GAtlanta Dallas Geneva, Illinois @Princeton, New Jersey Palo Alto Toronto lin Company. @Copies of this software may be made for purposes of execution of this computer @program, but solely for use in the school building for which the software is @acquired, and provided each copy shows the copyright notice. Only the entire @compu | T| ALGEBRA PLOTTER PLUS | T| | T| Graphing Quizzes Explorations | T|______________________________________| @ gby aDavid L. Myers @ @ @ @Copyright (c) 1990 by Houghton Mifflp screen L: to quit changing the size of the new matrix CNUMBER OF ROWS: to choose the number of rows in the new matrix @NUMBER OF COLUMNS: to choose the number of columns in the new matrix @ U______________________________________ T| alue, use the @up or down arrow to move to the option you want to change. Make the change by @pressing the left or right arrow. @------------------------------------------------------------------------------- \Size of matrix options @ N: to see this hear. You can return to the main @SAMPLING EXPERIMENT menu by pressing . By choosing the MANY SAMPLES @option again, you can continue the same histogram or start a new one. aNEW MATRIX @ @The current value of each option is highlighted. To change a vu watch. When any frequency becomes too large for the graph, @the scales change and a new graph is started. You can interrupt the graph @at any time by pressing ; you will be shown the mean and standard @deviation of the sample means obtained so fple mean shown on the horizontal _axis of the histogram CGREATEST SAMPLE MEAN SHOWN: the largest sample mean shown on the horizontal _axis of the histogram bHISTOGRAM @ @A histogram showing the frequency of the means of randomly chosen samples @grows as yo)Sin(Cos(Tan(Cot(Sec(Csc('z2z7zKKKKKKon from _which random samples will be chosen RSAMPLE SIZE: the number of individual numbers in each sample PVALUE TO TEST: a possible value of the sample mean you want to _test the likelihood of obtaining randomly FLEAST SAMPLE MEAN SHOWN: the smallest samumbers. @ @---------------------------------------------------------------------------- dNumbers @ NPOPULATION MEAN: the mean of the population from which random _samples will be chosen @POPULATION STANDARD DEVIATION: the standard deviation of the populatiā/oKK ,P `  K L ` , P` tire @computer program may be copied. No other license is granted and all other @rights are reserved. @ GAtlanta Dallas Geneva, Illinois @Princeton, New Jersey Palo Alto Toronto