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HP 40G manual Choose fit and data columns Explore statistics Setup plot, Select2. Linear

Models: 40G

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Page 95

Image 95

Choose fit and data columns

Explore statistics

Setup plot

4.Select a fit in the Symbolic setup view.

>6+,)7@ SETUP-SYMB

*e,&+226_

Select2. Linear

You can define up to five explorations of two-variable data, named S1 to S5. In this example, we will create just one: S1.

5.Specify the columns that hold the data you want to analyze.

>6<0%@

You could have entered your data into columns other than C1 and C2.

6.Find the mean advertising time (MEANX) and the mean sales (MEANY).

>180@67$76_

MEANX is about 3.3 minutes and MEANY is about $1796.

7.Scroll down to display the value for the correlation coefficient (CORR). The CORR value indicates how well the linear model fits the data.

*e,9 times

The value is 0.8995 to

2four.significant digits.

8.Change the plotting range to ensure all the data points are plotted (and select a different point mark, if you wish).

>6+,)7@SETUP-PLOT

*A,7 >(17(5@

>@ 100 >(17(5@ 4000 >(17(5@

Statistics aplet

8-3

Page 95

Image 95

HP 40G Choose fit and data columns Explore statistics Setup plot, Select a fit in the Symbolic setup view, Select2. Linear

Contents

USER’S Guide Page Contents Parametric aplet Importing Sample Statistics from the Statistics aplet Inference apletVariables and memory management Programming Index +,7@CLEAR, 6+,7@MODES, 6+,7@ACOS, etc PrefaceManual conventions @, &26@, +20@, etcPreface Home On/off, cancel operationsGetting started Parts of the display To adjust the contrast To clear the displayDisplay Annunciator Description KeyboardMenu keys Key Meaning Aplet control keys75@ +,7@$/3+$@ 175@+,7@$/3+$@ Shifted keystrokesHelpwith Key DescriptionMath keys Program commands Inactive keysTo search a menu To cancel a menuMenus Input forms Mode settingsReset input form values Setting OptionsSetting Options Press+20@ to return to Home Setting a modeAplets E-lessons Aplet Use this aplet to explore Name N T Quad Explorer aplet*,*A, keys Trig Explorer apletAplets are stored in the Aplet library Symbolic view Plot view Numeric viewAplet library Aplet viewsViews menu contains the Plot-Table view To change views Aplet view configurationPlot Setup Numeric Setup Symbolic ConfigurationExample Mathematical calculationsEntering expressions Long results Negative numbers@4 6+,7@EEX @13@ @@6 6+,7@EEX 23@ j@ 3 6+,7@EEX 175@ Scientific notation powersExplicit and implicit multiplication +,7@√ @85 @9 @ Entering Calculates@ 45 @6+,7@π +,7@√ 85@9Clearing numbers Using previous results 50175@ @25 175@175@ 175@ updates ANS from 50 to 75 toKey Function Accessing the display history$/3+$@ a 175@ Clearing the display history Using fractionsSetting Fraction mode See Setting fraction precision below for more informationSetting fraction precision Evaluate the calculation Fraction calculations Converting decimals to fractionsReturn to Home and enter the calculation @@@2@3+ iy Complex numbersConverting a number to a fraction Complex results To enter complex numbersStoring complex numbers Catalog/Editor ContentsCatalogs and editors Trig Explorer and Quadratic Explorer aplets Differences between the HP 38G and the HP 39G/40GMemory manager Plot Goto function Statistics Pred functionPage Aplet views About the Symbolic viewDefining an expression Symbolic view Aplets and their viewsAplets and their views Home Evaluating expressionsAplets +,7@CLEAR Symb view keys$56@ $7+@175@ or Setting up the plot Plot view setupPlot view settings About the Plot viewReset plot settings +,7@*A Exploring the graphPlot view keys Zoom options Trace a graphZoom within a graph To jump directly to a value To turn trace on/ offMultiplies vertical scale only, using Divides horizontal scale only, usingMultiplies horizontal scale, using Divides vertical scale only, using=220Zoom Out 018Zoom=220Un-zoom Press *k, to move to the bottom of the Zoom list=220Y-Zoom Out =220X-Zoom=220X-Zoom Out =220Y-ZoomTo box zoom To set zoom factors Options Other views for scaling and splitting the graphMenu key copies the right plot to the left Integer scaling Trigonometric scaling About the numeric viewOverlay plots Decimal scalingReset numeric settings Setting up the table numeric view setupNumeric view settings Zoom within a table Exploring the table of numbersNUM view menu keys 175@, the values for the dependent variables are Building your own table of numbersArrow keys to place the cursor in the independent variable Column, then enter the value to jump toClear data Build Your Own menu keys+,7@√@9 Example plotting a circle$3/7@ Select Open the Function aplet Function apletAbout the Function aplet Getting started with the Function apletPlot the functions Define the expressionsPlot the functions @75@175@Times Change the scale Trace a graphWith FCN functions Trace the linear functionRoot value is displayed at the bottom of the screen Find the greater of the two roots of the quadratic functionSelectRoot @.2 2Select.SlopeMove the cursor to x = 1 by pressing the *A,or Choose the end value forDisplay the numeric view Display the numeric view Set up the tableDisplay the numeric setup To find the extremum of the quadraticMove to X = Match the table settings to the pixel columns in the graphExplore the table Display a table of numeric valuesArea Extremum Isect Root Slope Function aplet interactive analysisFunction Description Access FCN variables FCN functionsTwo selected expressions Symbolic view. DisplaysCursor. You need to have at least $3/ @ Select Plotting a piecewise defined function example=  Page Open the Parametric aplet Define the expressions Parametric apletAbout the Parametric aplet Getting started with the Parametric aplet360 Set angle measure Set up the plot Plot the expression+,7@PLOT 120 Overlay plot Display the numbersPlot a triangle graph over the existing circle graph +,7@ PlotPage +,7@CLEAR 46+,7@π 2.a Polar apletGetting started with the polar aplet Open the Polar apletExplore the graph Display the numbers Getting started with the Sequence aplet Sequence aplet starts in the Symbolic viewSequence aplet About the Sequence apletKeys to assist in the entry of equations Define the expressionSelect Cobweb Plot Setup, set the Seqplot option to CobwebPlot the sequence Display the table Plot the Fibonacci sequencePage About the Solve aplet Solve apletDefine the equation Define known variables Getting started with the Solve apletOpen the Solve aplet @ Select Auto Solve the unknown variable Plot the equationSolve for the unknown variable a ≈20 times Solve aplet’s NUM view keysNumber format Use an initial guessMessage Condition Interpreting resultsRoot- Finder at work 180@ 30 175@ 2175@ *e,4175@ *e,*e, to highlight T Plotting to find guessesAt2 x = v0t + $/3+$@XTo move cursor to the intersection Plot the graph3175@*k,*k,*k Using variables in equationsHome variables Initial guess1400 920 1100 2265 2890 2200 Statistics apletAbout the Statistics aplet Getting started with the Statistics aplet1400 175@920 175@ 1100 175@2265 175@ 2890 175@2200 175@ Open the Statistics aplet Enter data175@1 175@ 175@5 175@ 175@4 175@ To move to the next columnSelect2. Linear Choose fit and data columns Explore statistics Setup plotSelect a fit in the Symbolic setup view To move to the FIT1 +2field Display the equation for the best linear fit6175@ Entering and editing statistical data$7+@ S to highlight To highlight+,7@ FXUVRU Statistics aplet’s NUM view keys160 175@ 165 175@ 170 175@ 175 175@ 180 175@ $56@ Height cm Frequency Sets will need to be selected againBefore re-use Delete data Angle SettingSave data Select the Sort Order option. You can choose either Defining a regression model 2VARInsert data Sort data values To choose the fit= ax3+bx2+cx+d. Needs at least Fit models To define your own fitFit model Meaning = m lnx + bStatistic Definition Computed statisticsOne-variable Columns for a linear fit only Two-variableYou can plot PlottingTo plot statistical data Histogram Box and Whisker Plot Scatter Plot Plot typesCoefficient Relative ErrorFitting a curve to0182VAR data CorrelationPlotting mark 2VAR Connected points 2VAR Setting up the plot Plot setup viewTrouble-shooting a plot Statistics aplet’s Plot view keys Find predicted values Calculating predicted valuesPage Example data Default the input form contains example data. This exampleInference aplet About the Inference apletHypothesis Tests Confidence Intervals Getting started with the Inference apletOpen the Inference aplet Inference aplet’s Symb view keys∝.a∝ Define the inferential methodField name Definition Open the Statistics aplet Open Statistics aplet. Note Reset current settingsImporting Sample Statistics from the Statistics aplet Plot test results@529 175@ @295 175@ @952 175@ @259 175@ @925 175@ @592 175@ Calculate statistics Open Inference aplet2one.a Choose inference method and typeImport the data Display the confidence interval in the Plot view Display Numeric view Display Plot viewSpecify a 90% confidence interval in the C field E, to move to FieldInputs Hypothesis testsOne-Sample Z-Test Menu nameResult Description Two-Sample Z-TestResults One-Proportion Z-Test H0 π1 = π2 Two-Proportion Z-TestSuccesses in the two populations is equal Hypothesis is that the sample mean has some assumed value One-Sample T-TestTest 1 ∝ Selected hypothesis against the null hypothesis. The nullTwo-Sample T-Test Sample 2 standard deviation Sample 1 standard deviationConfidence level Confidence intervalsConfidence interval calculations that the HP 39G/40G can Perform are based on the Normal Z-distribution or Student’sDeviations, σ1 and σ2, are known Two populations, ∝1 ∝2, when the population standardTwo-Sample Z-Interval Confidence interval for the difference between the meansSample success count One-Proportion Z-IntervalSample 2 success count Two-Proportion Z-IntervalSuccesses in two populations Sample 1 success countOne-Sample T-Interval Two-Sample T-Interval Page Math menu Using mathematical functionsMath functions Calculus Loop Stat-Two Complex Matrices To select a functionFunction categories Functions common to keyboard and menus Math functions by categorySyntax Keyboard functions +,7@√ +,7@ASIN+,7@ACOS +,7@ATAN+,7@ n Valuepower+,7@ABS ABSvalueLower,upper,expression,variable Calculus functionsTaylor VariableexpressionConj Complex number functionsARG Hyperbolic trigonometry ConstantsEXPM1 List functionsAlog EXPRecurse Loop functionsMatrix functions IteratePolyform Polynomial functionsPolycoef PolyevalRandom Probability functionsComb PermUtpt UtpcUtpf UtpnReal-number functions Mant HMS→→HMS INTRAD→DEG MODChange TotalXpon Statistics-TwoSign TruncateQuad Symbolic functionsIsolate LINEAR?Quote Trigonometry functions Home Symbolic calculationsSymbolic calculations in the Function aplet Using formal variablesEvaluate the function Finding derivativesTo find derivatives GG@$/3+$@S1GG@@$/3+$@ To find derivatives in the Function aplet’s Symbolic viewThus, substituting X for S1, it can be seen that To find the indefinite integral using formal variables+,7@GG@0 @ $/3+$@ S1 @ 3 @ Show the result format10-26 Introduction Variables and memory managementTo store a value Storing and recalling variablesNumeric Precision To store the results of a calculation 65 @$/3+$@A 175@ Vars menuTo use variables Calculations+,7@LIST Names or values of variables into programsList names directly from the keyboard 2contents,.a is copied to the command line$56@ *e,*e,*e,*A $/3+$@L3175@Category Available names To copy the value of the variable into the edit line To access an aplet variableAplet variables +,7@MEMORY Memory ManagerStart the Memory Manager. a list of variable categories Is displayedPage Matrix Variables MatricesVectors Matrices+,7@*e, or Creating and storing matricesMatrix Catalog keys + 7@CLEARSelect the type of matrix to create To create a matrix in the matrix catalog+,7@*k, *e Working with matricesTo transmit a matrix Clears all elements from the matrix728 672? 175@ 8 175@ Matrix arithmeticTo multiply and divide by a scalar 175@ 2175@*e 175@ 4175@$/3+$@M1 j@$/3+$@M2 175@ $/3+$@M1@ $/3+$@M2 175@+,7@MATRIX Solving systems of linear equations+,7@MATRIX1 175@ 175@7 175@About functions Matrix functions and commandsArgument conventions Inverse EigenvalEigenvv IdenmatSchur RankRownorm RrefIdentity Matrix Transposing a Matrix ExamplesTrace TRNReduced-Row Echelon Form Open the List catalog ListsCreating lists Create a list in the List CatalogList catalog keys List edit keys Create a list@ /@ Displaying and editing listsTo display a list To display one element To edit a listTo insert an element in a list To store one element 16a*eTo delete all lists Deleting listsTransmitting lists To delete a listList functions $/3+$@A @ $/3+$@L 5175@ $7+@L *A$/3+$@L5175@ $7+@L *A,SelectSorts elements in ascending order Calculates the product of all elements in listPOSlist, element Calculates the number of elements in a list$/3+$@ L1 175@ Finding statistical values for list elements89@65@ 0@89 Go to the Numeric view To display calculated statistics 180@67$76aPage Your work is automatically saved. Press any view key Aplet note viewTo write a note in Note view +,7@letter+,7@ Cmds +,7@%.63$=To draw a line Aplet sketch viewSketch keys Draw keys Where you want any corner of the box to beYou can adjust the size of the box by moving the cursor To draw a boxHighlight2. the variable name you want to use and press KeysPress 2.again to affix the label Name of the note is ‘MYNOTE’ To import a graphics variableTo create a note +,7@NOTEPADAnother HP 39G/40G or PC Opens the selected note forBegins a new note, and asks for Transmits the selected note to14-8 Programming Contents of a Program Structured ProgrammingOpen Program catalog Program catalog+,7@*k, or *e Program catalog keysCreate a new program Creating and editing programsTo enter functions more to come Enter commands Edit a program+,7@CMDS A,*eEditing keys Run a program From HOME, type RUN programname. or Using programsDebug a program Stop a program Transmit a program Delete a program Working with programsCopy a ProgramPrograms Delete the contents of a programAbout customizing an aplet Delete all$3/7@Select Aplet naming conventionCustomizing an aplet example Configuring the Setviews menu option programs Setviews ’’’’’’’’18 Programming 15-13 Select Programming commandsAplet commands CheckSyntax for the command is as follows Command syntaxAuto-run programs If test-clause Branch commandsUncheck IF...THEN...ENDEND Iferr trap-clause Then error-clause ENDIF... then ELSE... END CASE...END Iferr ThenDrawing commands Graphic commands Grobxor →GROBGrobnot GroborLoop commands Matrix commands Scaleadd RandmatRedim ScalePrompt commands Print commandsEditmat matrixname DispDisptime Disp linenumbertextitemInput Input nametitle,labelhelpdefaultGetkey Wait seconds MsgboxPrompt WaitStat-Two commands Stat-One and Stat-Two commandsStat-One commands Axes Storing and retrieving variables in programsPlot-view variables AreaGrid CoordExtremum FastResIsect HwidthIndep InvCrossS1mark-S5mark Nmin / NmaxRecenter RootUmin/Umax SimultSlope StatPlotXcross Tmin / TmaxTracing TstepYmin / Ymax XtickYtick Xmin / XmaxAngle Symbolic-view variablesXzoom YzoomE1...E9, E0 X1, Y1...X9,Y9 X0,Y0R1...R9, R0 U1...U9, U0Digits Numeric-view variablesC1...C9, C0 NumIndep FormatNumCol NumFontNumType NumRowNumStart NumStepPageNum Creating new aplets based on existing aplets Extending aplets$/3+$@ C @ 175@ Aplet Keys$/3+$@ H 175@ $1@ $/3+$@ θ @ 180@ 35 175@ $3/ @SelectLength of the ladder is approximately 8.72 metres Resetting an apletDownloading e-lessons from the web Solve for the missingTo transmit an aplet Sending and receiving apletsTo delete an aplet Sorting items in the aplet library menu listTo sort the aplet list Canada Reference informationRegulatory information Warranty LED safetyReference information To reset using the keyboard Resetting the HP 39G/40G21@ key To erase all memory and reset defaultsIf the calculator does not turn on Cross matrix1,matrix2 GlossaryBatteries Operating temperature 0 to 45C 32 to 113FOperating details Category Available name Menu maps of the Vars menuHome variables are Function aplet variables are Function aplet variablesUser-named ModesParametric aplet variables are Parametric aplet variablesPlot-FCN Polar aplet variables are Polar aplet variablesSequence aplet variables are Sequence aplet variablesSolve aplet variables are Solve aplet variablesStat-One Statistics aplet variablesStatistics aplet variables are Calculus Menu maps of the Math menuMath functions Math functions are= = PolynomProgram constants Category Command Program commands+,7@ Memory Selected status messagesMessage Meaning Current screen Function value, root, extremumOr intersection is not visible Index Index Index Index Index Index Index Index Index Index Index Index Index

Choose fit and data columns

Explore statistics

Setup plot

4.Select a fit in the Symbolic setup view.

*e,￿&+226_

Select2. Linear

*e,￿9 times

*A,￿7 >(17(5@

*e,&+226_

*e,9 times

*A,7 >(17(5@