HP 10bII+ Financial manual JdDÆd¡, JgGÆgJ¡, JjjÆgD¡, JgVÆjj¡

Page 129

The standard deviations calculated by \hand \h\«are the sample standard deviations. They assume that the data is a sampling of a larger, complete set of data.

If the data constitutes the entire population, the true population standard deviations can be calculated by pressing \eand \e\«.

Example 3

The coach has four new players on the team with heights of 193, 182, 177, and 185 centimeters and weights of 90, 81, 83, and 77 kilograms. Find the mean and population standard deviation of both their heights and weights, then sum the y-data.

Table 12-8 Example 3

KeysDisplay Description

\t

STAT CLR

Clears statistics memory.

 

 

(message flashes briefly,

 

 

then disappears)

 

 

 

 

JdDÆd:¡

 

player 1.

 

1.00

Enters height and weight of

 

 

 

JgGÆgJ¡

 

player 2.

 

2.00

Enters height and weight of

 

 

 

JjjÆgD¡

 

player 3.

 

3.00

Enters height and weight of

 

 

 

JgVÆjj¡

 

player 4.

 

4.00

Enters height and weight of

 

 

 

\k

184.25

Calculates mean of heights (x).

 

 

 

 

\«

82.75

Displays mean of weights (y).

 

 

 

 

\e

5.80

Calculates population standard

 

deviation for heights (x).

 

 

 

\«

4.71

Displays population standard

 

deviation for weights (y).

 

 

 

]U

331.00

Displays the total of the y -values.

 

 

 

 

Linear Regression, Estimation, and Regression Modes

Linear regression is a statistical method for estimation and forecasting. It is used to find a straight line that best fits a set of x,y data. There must be at least two different x,y pairs. The straight line provides a relationship between the x- and y-variables: y = mx + b, where m is the slope and b is the y-intercept.

Statistical Calculations 121

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Contents HP Part Number NW239-90001 Edition 1, May HP 10bII+ Financial Calculator User’s GuideLegal Notice HP 10bII+ Financial Calculator Number Keyboard Map LegendTable of Contents Page Page III JGD At a GlanceBasics of Key Functions Boxed Key Functions Shift KeysJV§4 Jj7V1Percentages Add 15% toGG¼ JVÀDDà Memory KeysGG4 GV4J7GV DSÙ JG\ÍJYÏ Time Value of Money TVMD7VÒ JyÌTVM What if How much can you borrow at a 9.5% interest rate?Jæjg AmortizationAmortize the 1 st through 24 th loan payments Depreciation Interest Rate Conversion Cash Flows, IRR/YR, NPV, and NFV \½\«Yj¤ Yy¤JÆG¤ GD¤G7GgGJ VG4Date and Calendar Bonds S7jVÎ Y7jVÔFor more information on bond calculations, refer to , Bonds Break-even \T \« \k \«\h \« \e \«YÆd¡ GÆV¡SÆJS¡ \T\«7VF \5V17GV4 Probability7SG Trigonometric FunctionsFind Sin θ =.62 in degrees. If RAD is displayed, press \aJg Convert the results to radians using PiAt a Glance Getting Started Power On and OffManual Conventions and Examples Displayed textItem before the / is the alternate Shift Keys JdPJG7Sg4 GY7jJ1SG7Yj4Simple Arithmetic Calculations Operating Modes1JJV7V4 Calculations in Chain ModeS7dPV7DVa 7dJ4Using Parentheses in Calculations Calculations in Algebraic ModeDa\qgVA JG\nAD4 JVyUnderstanding the Display and Keyboard Cursor Clearing the CalculatorAnnunciators Clear AllClearing Messages INV Swap Key Input KeyStatistics Keys Same as pressingD7Vj1G7DS\b Gd7GV\BMath Functions One-Number FunctionsGetting Started JVc \5YJ1SC 7DVoR\5G A7SGoRYP\ PY7V\217VdrC J7GVrcTwo-Number Functions In-line FunctionsJjÆ Jj\¨Gd\¨ Gd1DD-23below lists the two-number functions of the calculator Arithmetic with One-and Two-number FunctionsJGV\QD4 G7V\K\Qv4 VAJ7GV4GG1JY\¨ Last AnswerYV7SP \5D7JGVS4 Specifying Displayed Decimal PlacesJaj4 \54\zyJG Messages D7gjSVYDBusiness Percentages GV§Business Percentage Keys Percent keyGdJ7j\¨ JGV1j§DJS7g4 JgpvæJdÀ GvvàMargin and Markup Calculations Margin CalculationsUsing Margin and Markup Together D7SÀJVà Using Constants Using Stored Numbers in CalculationsV1Gª Number Storage and Storage Register Arithmetic\QDª J1J§ªExample Calculate 10 + 10%, 11 + 10%, and 25 + 10% Example Calculate 23Using the M Register VV\¨DGªYV4 Jjs Using Numbered RegistersJY7GVm JS7dVm\w7Y ADd7JV \wG YjV7SVS7J1 V7YYV7j \wD G7V\wPD How to approach a Financial Problem Picturing Financial ProblemsPeriods and Cash Flows Signs of Cash FlowsSimple and Compound Interest Simple InterestCompound Interest Interest RatesRecognizing a TVM Problem Two Types of Financial ProblemsCash flow diagram Borrower’s perspective Recognizing a Cash Flow ProblemCash flow diagram Investment in a mutual fund Using the TVM Application Time Value of Money CalculationsTVM Keys Loan Calculations Begin and End ModesJ7VÒ DpjgùJyva JVÏ1VÌ DjVyÌ1JV4 J7VÒ DDyÌ1JG4 GV\Ú JjGVÏG7gÒ YgÙ 1vÌ4Savings Calculations J7GÒ GyÏGyÌ GY\ÍS7DÒ JV\ÚYyÏ Lease Calculations Cash flow diagram Calculate the monthly lease paymentJVÉ Cash flow diagram Calculate PV of the leaseGYyÌ YjÙ1vÌy4 Step Find the present value of the buy optionJVyÉ 1p4Step Add the results of ’ ’ and ’ ’ Amort key on the HP 10bII+ allows you to calculate To AmortizeJ7jVÒ Jdægy JJ7VÒJygvï GVÆ VYÆAmortize the 1st, 25th, and 54th payments Interest Rate Conversions S7j\ÓInvestments With Different Compounding Periods First BankS7SD\Ó S7SV\ÓDS\Í Compounding and Payment Periods DifferGVyÌ DSV\ÍResetting the TVM Keys Depreciation Keys DepreciationItem in the selected format Inputs 5 for the expected useful life Depreciation example using Declining Balance Keys Cash Flow Calculations How to Use the Cash Flow ApplicationNumber1 ¤ Clearing the Cash Flow MemoryCash Flow Calculations Vy¤ Gy¤Calculating Internal Rate of Return AJG JJjSV7Gd¤NPV and IRR/YR Discounting Cash Flows Organizing Cash FlowsInitial cash flow and cash flow groups JJy¤Viewing and Editing Cash Flows 11GÆ JVÆ1GÆ 1JGyÆ1GCalculating Net Present Value and Net Future Value ÆY¤ VÆJ¤VÆG¤ Æd¤ JVÆJ¤JÆJ¤ JVÒAutomatic Storage of IRR/YR and NPV Cash flow diagram Calculates NPVCalendar Formats and Date Calculations Calendar FormatDate Format Using the Input key Date Calculation Date Calculations and Number of DaysJG7JgGJJ To enter the data for this example using the Ækey\ÇJ4 ÆJ\ÇY7SGJ\Ä \5SDJ7JGJ4 J7JjGJGUsing the Ækey J7JjGJGÆS7YGJV\Ä Bond Keys BondsY7GgGJ V7VÎ S7YGGJYË JJÑResetting the bond keys J7JVGGY7JVGJG Break-even Keys Break-evenBreak-even example Calculating the projected maximum fixed cost Resetting the Break-even keys \h\« \k\«\e\« \Z\«Entering Statistical Data Clearing Statistical DataOne-Variable Statistics Two-Variable Statistics and Weighted MeanViewing and Editing Statistical Data DGÆYJV¡ DVÆVJV¡YD\W\5G YDÆJGD¡ DjÆSgV¡YV\W Summary of Statistical Calculations D7GV¡ Y7V¡D7V¡ D7jV¡JgGÆgJ¡ JdDÆd¡JjjÆgD¡ JgVÆjj¡400 JÆdG¡ GÆJY¡DÆJJ¡ VÆGGSV¡ VÆGgd¡Weighted Mean VVÆDG¡ VÆVY¡VJÆgg¡ VJSÆdG¡Probability Calculations FactorialPermutations VÆD VD4V9D4 VÆD9Advanced Probability Distributions YG\w6Normal Lower Tail Probability J7jyFInverse of Normal Lower Tail Probability 7GVoFGIJ7gSy4 GÆJ7gSyIStudents T Probability Lower Tail GSoI7V4 GSÆ7VoIInverse of Student’s t Probability Lower Tail Conversions from Lower Tail Y1J4PG4 J7GyFReturns desired value of z Statistical Calculations \qJ1\q GaJ4 Setting a Sales PriceAdditional Examples Business ApplicationsGÆJJGJ¡ JÆJ¡DÆJDS¡ YÆJSjV¡ VÆGVd¡\q\qJ AG\n Gpdspj\qDA YVsPJ§Jg§ AJPJ4YVjG7gy Yield of a Discounted or Premium Mortgage JdyÏ VÙAYGÙG7VÒ Annual Percentage Rate for a Loan With FeesAG§Ï JSÏJGÒ AD§ÏJSaDP AJGPYV\«§4 1YVÏD7VÒ JgvïPvÙ4 JjvïJDÏ JG\ÓÉD\Ú Canadian MortgagesJJ7GÒ DVVVyÌWhat if … TVM Calculations PvÙ1 GS\ÍVÏ4 SavingsStores effective rate as annual Gains That Go Untaxed Until Withdrawal JyyùDVÙ PJV§4Yòìï DyÌ G7JjVAGgCash Flow Examples Wrap-Around MortgagesGGVJ7GG Cash flow diagram Wrap-around mortgageVÌyAjVY DVy¤GG\¥ VÌy¤Low Power Annunciator Power and BatteriesInstalling Batteries Appendix a Batteries and Answers to Common QuestionsResetting the calculator Determining if the Calculator Requires ServiceCalculator won’t turn on Erasing the calculator’s memoryAnswers to Common Questions See Determining If the Calculator Requires ServiceEnvironmental Limits Appendix B More About Calculations IRR/YR CalculationsEquations Time Value of Money TVM Payment Mode Factor S = 0 for End mode 1 for Begin modeAmortization Interest Rate ConversionsCash-Flow Calculations For more than one coupon period to redemption BondsStatistics DepreciationForecasting Memory has been erased Ch Appendix C MessagesCashflow memory was cleared Tvm registers were clearedStatistical memory and registers were cleared Bond registers were clearedHP Limited Hardware Warranty and Customer Care Warranty, Regulatory, and Contact InformationLimited Hardware Warranty Period Replacing the BatteriesExclusions General TermsModifications Canadian Notice Avis CanadienEuropean Union Regulatory Notice Germany Customer Care Contact Information Perchlorate Material special handling may apply香港特別行 Tobago Tunisia Turkey Türkiye Turks 01-800-711-2884 ไทยWarranty, Regulatory, and Contact Information Warranty, Regulatory, and Contact Information Battery Advance payments Algebraic modeChain mode Error messages FactorialInterest rate conversions Investments In-line functions InterestKeyboard KeysWarranty Trigonometric functions TroubleshootingModes Operating modes Parentheses
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10bII+ Financial specifications

The HP 10bII+ Financial Calculator is a versatile and powerful tool designed to meet the needs of finance students, professionals, and anyone involved in financial planning and analysis. Known for its compactness and user-friendly interface, this calculator incorporates a range of features specifically tailored for financial calculations, making it an essential gadget for banking, real estate, and investment analysis.

At the heart of the HP 10bII+ is its ability to perform a wide variety of financial functions, including time value of money calculations, cash flow analysis, bond pricing, and depreciation. Its built-in functions facilitate the computation of interest rates, present and future values, net present value (NPV), internal rate of return (IRR), and annuities. This array of functionalities allows users to tackle complex financial problems with ease.

One of the standout technologies in the HP 10bII+ is its RPN (Reverse Polish Notation) input system, which allows for efficient data entry and calculation. Users can perform consecutive calculations without the need for parentheses, streamlining the process significantly. Alternatively, the calculator can also function with a standard algebraic input, catering to different user preferences.

The design of the HP 10bII+ is sleek and compact, making it highly portable and easy to handle. With a large, easy-to-read display, it ensures that users can view their calculations clearly, even in low-light environments. The keys are well-spaced and tactile, allowing for a comfortable typing experience during intensive calculations.

The calculator also offers a range of memory functions, enabling users to store and recall important values easily. This is particularly useful for financial professionals who must deal with multiple calculations and refer back to previous results frequently.

Additionally, the HP 10bII+ is powered by two AAA batteries, providing a long battery life that ensures reliability during extended use. It also features an automatic shut-off function, which conserves battery life when the calculator is not in use.

In summary, the HP 10bII+ Financial Calculator is a high-performance device that combines essential financial functions with user-friendly design and robust technology. Whether for educational purposes or professional finance work, its capabilities make it an invaluable asset for anyone dealing with financial calculations and decision-making.
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