About the Statistics aplet | HP 39g+ Graphing manual

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Statistics aplet

About the Statistics aplet

The Statistics aplet can store up to ten data sets at one time. It can perform one-variable or two-variable statistical analysis of one or more sets of data.

The Statistics aplet starts with the Numeric view which is used to enter data. The Symbolic view is used to specify which columns contain data and which column contains frequencies.

You can also compute statistics values in HOME and recall the values of specific statistics variables.

The values computed in the Statistics aplet are saved in variables, and many of these variables are listed by the function accessible from the Statistics aplet’s Numeric view screen.

Getting started with the Statistics aplet

The following example asks you to enter and analyze the advertising and sales data (in the table below), compute statistics, fit a curve to the data, and predict the effect of more advertising on sales.

Advertising minutes	Resulting Sales ($)
(independent, x)	(dependent, y)

2	1400
1	920
3	1100
5	2265
5	2890
4	2200

Statistics aplet

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HP 39g+ Graphing manual About the Statistics aplet, Getting started with the Statistics aplet

Contents

Edition Part Number F2224-90001 User’s guide Edition December Printing History Contents Getting started with the Polar aplet Using variables in equationsPlotting a piecewise-defined function About the Solve aplet 11-1 Confidence intervals One-Sample Z-IntervalOne-Proportion Z-Interval 10-7 Variables and memory management 16-7 16-116-2 Creating and editing programs 16-4 Variables Home variables Glossary Resetting the hp 39g+Service Regulatory information Operating details Function, Polar, Parametric PrefaceManual conventions Hewlett Packard’s Calculators web site can be found at Preface To turn on On/off, cancel operationsTo cancel Getting started Contrast To adjustDisplay Parts of the display Infrared or cable KeyboardMenu keys Displays the Aplet Library menu. See Aplet library on Aplet control keys Button performs Entry/Edit keysSame Shifted keystrokes Math keys Helpwith Inactive keys CommandsMenus Program Input forms Reset input form values Same result Mode settingsYou use the Modes input form to set the modes for Home Current aplet and Home give Uses periods dot as separators Setting Options NumberFunction arguments. Comma mode Lists and matrices, and to separate Press to return to Home Setting a modeAplets E-lessons Another sequence, such as Un 1 Example x = cost and y = sintPolar Sequence Sequence functions U in terms of n, or Quad Explorer aplet Seen by experimenting Keys Transforms Graph, with theseAmplitude and frequency Aplet views Symbolic viewAplet library Select Plot-Detail Plot view Numeric view Plot-Table view Plot-Detail viewSelect Plot-Table Views menu contains the Overlay Plot view Aplet view configurationPlot Setup Overlay Plot view Sketch view Entering expressions Numeric Setup Symbolic SetupWhere to start Mathematical calculations 23 3 EEX Long results Negative numbers Scientific notation powersUsing Entering Calculates Sin 45 + π Explicit and implicit multiplicationParentheses Input Output Last input Edit line Last output Getting started Storing a value in a variable Setting Fraction mode Using fractionsAccessing the display history Clearing the display history Setting fraction precision Fraction Fraction calculationsSelect Converting decimals to fractions Complex numbers Catalogs and editors Aplet views About the Symbolic viewDefining an expression Symbolic view Aplets and their views U0. Define the nth term Independent variable in the expressions is T Select Function Evaluating expressionsAplets Home About the Plot view Setting up the plot Plot view setup ΘSTEP Plot view settingsΘRNG Exploring the graph Reset plot settings To move between relations Trace a graph Zoom options Zoom within a graphTo jump directly to a value To turn trace on/off Auto Scale SquareSet Factors Now un-zoom Un-zoom To turn on the menu-key To box zoomBox Zoom option lets you draw a box around One diagonal of the zoom rectangle Press to zoom in on the boxed area Views menu options Other views for scaling and splitting the graph Press or Split the screenPixel=π/24 radian, 7.58, or About the numeric view Numeric view settings Setting up the table Numeric view setup Numstart and Numstep Exploring the table of numbersNUM view menu keys Zoom within a table Numtype Build Your Own Building your own table of numbersBuild a table Clear data Build Your Own menu keys Function aplet, specify the functions Reset the graph setup to the default settingsExample plotting a circle Plot the circle, x 2+ y 2 = 9. First rearrange it to read Display the functions in numeric form Open the Function aplet Function apletAbout the Function aplet Getting started with the Function aplet Plot the functions Define the expressions Set up the plotPlot the functions Specify a grid for the graph Times Change the scale Trace a graphSelect Auto Scale Select Root Analyse graph with FCN functions Select Signed area Select Slope Select Extremum To find the extremum of the quadratic Display the table of values Display the numeric viewExplore the table To display Symbolic definition A columnDisplay the symbolic definition for the F1 column Symbolic definition F1 is displayed at Bottom of the screen Or to choose a variable Function aplet interactive analysisSelect Plot FCN Slope FCN functionsRoot Extremum Cursor. You need to have at Symbolic view. DisplaysShading area Intersection Plotting a piecewise-defined function Define the expressions Parametric apletAbout the Parametric aplet Getting started with the Parametric aplet Select Degrees Set up the plot Plot the expressionSet angle measure Set the angle measure to degrees 120 Overlay plot Display the numbersPlot a triangle graph over the existing circle graph Page Select Polar Polar apletGetting started with the Polar aplet Open the Polar aplet Display the Plot view menu key labels Explore the graph Display the numbers Getting started with the Sequence aplet Sequence aplet starts in the Symbolic viewSequence aplet About the Sequence aplet Menu keys to assist in the entry of equations Plot Setup, set the Seqplot option to Cobweb Display the . Display the table of values for this example Select CobwebPage About the Solve aplet Solve aplet Select Solve Getting started with the Solve apletOpen the Solve aplet Define the equation Enter known variables Solve the unknown variable Plot the equation Select Auto Scale Use an initial guess Interpreting results Consider the equation of motion for an accelerating body Plotting to find guesses Plot the graph To highlight T Press until the cursor is at the intersection Using variables in equations Getting started with the Statistics aplet Statistics apletAbout the Statistics aplet To move to the next column Enter dataSelect Statistics Value is Select a fit in the Symbolic setup viewChoose fit and data columns Explore statistics Select Linear Slope m is 425.875. The y-intercept b is Setup plot Plot the graph Draw the regression curveDisplay the equation for best linear fit To move to the FIT1 field To highlight Predict values Statistics aplet’s Numeric view keys are Entering and editing statistical data Statistics Variable expression to the edit line Copies the column variable or Again before re-use Clear is usedData sets will need to be selected Plot a histogram of the data Save data Sort data values Edit a data set Delete data Insert data Fit models Angle SettingDefining a regression model To choose the fit To define your own fit Computed statistics ΣX2 Two-variable7,8,15,16,17 Columns for a linear fit only PlottingTo plot statistical data Histogram Box and Whisker Plot Scatter Plot Plot types Correlation coefficient Relative ErrorFitting a curve to 2VAR data Histogram range Plotting mark 2VAR Connected points 2VAR Setting up the plot Plot setup viewTrouble-shooting a plot Erases the plot Statistics aplet’s Plot view keys Find predicted values Calculating predicted values Statistics aplet Page Open the Inference aplet Inference apletAbout the Inference aplet Getting started with the Inference aplet Inference aplet’s Symb view keys Table below summarizes the options available Symbolic view Test 1 ∝ Setup-NUMSelect the inferential method Enter data Select Hypoth Test Importing sample statistics from the Statistics aplet Are explained in the feature of this aplet Produced by the calculator 529 295 952 259 925 592 If the Decimal Mark setting in the Modes input formStatistics aplet opens in the Numeric view C1 column, enter the random numbers Select Conf Interval Set up the interval calculationOpen Inference aplet Inference To move to the C field Display Numeric view Display Plot viewSpecify a 90% Confidence interval in the C field Inputs Hypothesis testsOne-Sample Z-Test Menu name Results Two-Sample Z-Test Measures the strength of the evidence for a selected One-Proportion Z-TestPopulation 2 standard Test 1π Two-Proportion Z-Test One-Sample T-Test With the α level that you Sample standard deviation Pooled? Two-Sample T-Test One-Sample Z-Interval Confidence intervals Two-Sample Z-Interval Two-Proportion Z-Interval One-Proportion Z-Interval One-Sample T-Interval Pooled Two-Sample T-Interval Critical T Critical value for T Background Using the Finance Solver 3 4 Compounding period -- which is Performing TVM calculations Soft menu key. The resulting value is PV = $15,705.85 Example 1 Loan calculations Example 2 Mortgage with balloon payment To continue amortizing the loan Calculating AmortizationsTo calculate amortizations Example 3 Amortization for home mortgage Example 4 Amortization for home mortgage Name. Note You do not need to press first Using mathematical functionsMath functions Math menu Functions common to keyboard and menus Math functions by categoryFunction categories Syntax E5 returns Keyboard functionsValue1+ value2 , etc Evalue LOG100 returns Returns ABS1,2 returns S1,2*X+3,X Calculus functionsNthroot 8 returns ∂ s1s1 2+3*s1 returns 2*s1+3 Conj Complex number functionsTaylor ARG Hyperbolic trigonometry Constants Loop functions List functions POLYCOEF2,-3,4,-5 returns1,2,-25 Matrix functionsPolynomial functions Polycoef Polyroot PolyevalPolyform Random Probability functionsComb Perm Real-number functions →HMS FnrootFrac HMS→ Change MAXMIN MOD Truncate Two-variable statisticsRound Sign Quad Symbolic functionsIsolate LINEAR? Quote Test functions Trigonometry functions SECvalue Symbolic calculationsUsing formal variables SEC To find derivatives in Home Symbolic calculations in the Function apletFinding derivatives You could also just define To find derivatives in the Function aplet’s Symbolic viewShow the result Select F2X and evaluate it Thus, substituting X for S1, it can be seen that To find the indefinite integral using formal variablesFor example, to find the indefinite integral 11-24 Introduction Variables and memory management Storing and recalling variables Substitutes the variable’s value in the calculation To use variablesCalculations You can use variables in calculations. The calculator Move the highlight to the variables column Vars menuOpen the Vars menu Press Result in another list variable Add the contents of two list variables, and to storeNames or values of variables into programs Example 12-6 Information on storing graphic object via That you can configure usingReal part, and i represents Variable on page 15-5 for more Aplet variables on page R-7 To access an apletX0, Y0 to X9, Y9 Symbolic view. See Variable Line, press and press Memory ManagerPage Matrix Variables MatricesVectors Matrices POLYROOT1,0,-1,0XM1 Creating and storing matricesMatrix Catalog keys To create a matrix in the Matrix Catalog Or column you are prompted to Make a choice Working with matricesTo transmit a matrix If M2 is 3,4,5,6, then M21,2 returns Key Meaning Moves to the first row, last row, first Create the second matrix Matrix arithmeticTo store one element Matrices 13-7 Element Solving systems of linear equationsTo negate each Select Real matrix Matrix functions and commandsAbout functions Cross Argument conventionsColnorm Cond Eigenvv DETDOT Eigenval Schur RankRownorm Rref Trace ExamplesSVD SVL Following set of equations x 2y + 3z = 14 2x + y z = Reduced-Row Echelon Form You can create, edit, delete, send, and receive named Lists List catalog keys List edit keys Create a list To edit a list Displaying and editing listsTo display a list To display one 148 L12 A listTo insert an element 1. Open the List catalog Press , and press To delete a list List functionsDeleting lists Transmitting lists ∆LISTlist1 2,3 returns 5,10,15CONCATlist1,list2 CONCAT1,2,3,4 returns 1,2,3,4 POS 3, 7, 12, 19,12 returns ΠLISTlistΠLIST2,3,4 returns POSlist, element List, L1 Create L1 with values 88, 90, 89, 65, 70, Finding statistical values for list elementsΣLIST2,3,4 returns Sorts elements in ascending order. SORTlist Are now in column 1 C1 Or to exit the Notes view Aplet note viewTo write a note in Note view Your work is automatically saved. Press any view key Alpha-lock for letter entry Contents of variablesCommands Space key for text entry To draw a line Aplet sketch viewSketch keys Draw keys To draw a box Press to continue drawing, or press Mynote Another hp 39g+ or PC Opens the selected note forBegins a new note, and asks For a name Press instead Programming Contents of a Program Structured Programming Programs that perform smaller tasks Program catalogOpen Program Catalog Be simple-or it can be divided further into other Program catalog keys Press Progrm to open the Program catalog Creating and editing programsCreate a new program Edit a program 1. Press Progrm to On the left, use or to highlight a commandPress to paste the command into the program editor Editing keys Run a program Debug a program Stop a program Using programs Transmit a program Customizing an aplet Example Aplet naming convention Save the aplet Configuring the Setviews menu option programs ’’ ’’’’EXP.SV’’0 Setviews ’’’’ ’’’’18’’My Entry1’’’’EXP.ME1’’1 ’’My Entry2’’’’EXP.ME2’’3 ’’START’’’’EXP.S’’7 Programming commands’’’’’’EXP.ANG’’0 Setviews Aplet commandsCheck Select Auto-run programs Associating programs with your aplet Including standard menu options ProgramNameViewNumber 1XA Branch commandsIF...THEN...END Uncheck n END Iferr trap-clause Then error-clause ENDIF... THEN... Else END CASE...END Iferr Then ARC Drawing commandsRUN Stop Graphic commands Grobor →DISPLAY→GROB Grobnot Do a + 1 X a Until a == Loop commands Matrix commands Randmat DelcolDelrow Editmat Prompt commands Print commands Disp 3A is 2+2 ChooseDisp Disptime Editmat matrixname Input nametitle,labelhelpdefaultGetkey Input Wait Stat-One and Stat-Two commandsMsgbox Prompt Stat-Two commands Stat-One commands Axes Storing and retrieving variables in programsPlot-view variables Area Grid CoordExtremum FastRes Isect HwidthIndep InvCross S1mark-S5mark Nmin / NmaxRecenter Root Umin/Umax SimultSlope StatPlot Xcross Tmin / TmaxTracing Tstep Ymin / Ymax XtickYtick Xmin / Xmax Symbolic-view variables S1fit...S5fit R1...R9, R0U1...U9, U0 E1...E9, E0 Format Numeric-view variablesC1...C9, C0 Digits NumRow NumColNumFont NumIndep StatMode NumStepNumType NumZoom PageNum Sketch variablesPageNum Graphicname X Creating new aplets based on existing aplets Extending aplets Degrees Open the Solve aplet and save it under the new nameSolve Choose the sine formula in E1 Resetting an apletUsing a customized aplet Hewlett-Packard’s Calculators web site can be found at Downloading e-lessons from the webSending and receiving aplets To transmit an aplet Sorting items in the aplet library menu list To sort the aplet list To delete an aplet Cross matrix1,matrix2 Reference informationGlossary Expression line# Set to Comma and enclosed Editor and catalog Matrix Two-dimensional array of valuesRecord using the Program editor Vector One-dimensional array of values Split screens Resetting the hp 39g+To erase all memory and reset defaults To reset using the keyboard Batteries Operating detailsIf the calculator does not turn on To install the main batteries To install the backup battery Home variables Variables Angle Function aplet variablesArea Root Extremum Slope Isect Parametric aplet variables are Category Available name Plot Parametric aplet variables Polar aplet variables are Category Available names Plot Polar aplet variables Sequence aplet variables are Category Available name Plot Sequence aplet variables Digits NumCol Format NumRow Solve aplet variablesSolve aplet variables are Category Available name Plot Statistics aplet variables Hyperb Math menu categoriesMath functions Math functions are Category Available name Calculus Polynom Category Available name Matrix Program constants Print Program commandsProgram commands are Category Command Aplet Branch Status messages Such as 0/0 Function value, root, extremumOr intersection is not visible Current screen Hp 39g+ Graphing Calculator Warranty period 12 months Limiting Warranty Limiting Warranty Service Rotc = Rest of the country Canada 905 206-4663 or USA Regulatory information Limiting Warranty Index Maximum real number 11-8 minimum real number Freeze 16-20 Line 16-20 Pixoff 16-20 Pixon 16-20 Tline Grobxor Grobor Inverse hyperbolic cosine 11-8 inverse hyperbolic functions Break Angle measure 1-10 decimal mark 1-11 number format Order of precedence 1-21 overlaying plots 2-16,4-3 11-8 Sending and receiving 16-8 structured Menu lists 1-8 speed searches Navigate around 3-8 numeric values 3-7 numeric view setup Index