hp 12c_solutions handbook_English_E.pdf
Page 91
...through 10 until all historical values have been entered. Forecasting: 90 Press ; This value represents the cumulative forecasting error (Σe2). The result is selected based on the lowest cumulative forecasting error (Register 4). press 0 (α), 2 (smoothed average St-1), 3 (trend Tt-1) and 6 (forecast t+1)....8. When doing step 5 merely key in the first historical value (X1) and press 2. 5. Xn until a "best" α is the error between the forecast value ( t+1) and the true value (Xt+1) 6. Key in the second historical value (X2) and press 6 . 6 00 ...
...through 10 until all historical values have been entered. Forecasting: 90 Press ; This value represents the cumulative forecasting error (Σe2). The result is selected based on the lowest cumulative forecasting error (Register 4). press 0 (α), 2 (smoothed average St-1), 3 (trend Tt-1) and 6 (forecast t+1)....8. When doing step 5 merely key in the first historical value (X1) and press 2. 5. Xn until a "best" α is the error between the forecast value ( t+1) and the true value (Xt+1) 6. Key in the second historical value (X2) and press 6 . 6 00 ...
hp 12c_solutions handbook_English_E.pdf
Page 92
..., 23, 23, 25, 23, 27, 25. Press period. . Key in the trend Tt-1 and press 3. Key in 5. Record the following month. The output is the error in the current data value and press forecasting the value just entered. . o Key in thousands of dollars) of 26, forecast the following values: 0 (α), 2 (St...
..., 23, 23, 25, 23, 27, 25. Press period. . Key in the trend Tt-1 and press 3. Key in 5. Record the following month. The output is the error in the current data value and press forecasting the value just entered. . o Key in thousands of dollars) of 26, forecast the following values: 0 (α), 2 (St...
hp 12c_solutions handbook_English_E.pdf
Page 93
Note: At least 4 periods of current data should be entered before forecasting is repeated for several α's. 4 23.61 Cumulative error (Σe2). 0 0.50 Smoothing constant (a). 2 25.11 Smoothing average (St-1). 3 0.42 Trend (Tt-1). 6 25.95 Last forecast (Dt+1). ...Expected usage for current (month 8) period, (Smoothed Dt). α Record for month 9, ( t+1). Smoothing Constant (α) .5 .1 .25 .2 Cumulative Error (Σe2) 23.61 25.14 17.01 18.03 For the selected α = .25 St+1= 24.28 Tt-1 = 0.34 Dt+1= 25.64 Forecasting: Keystrokes...
Note: At least 4 periods of current data should be entered before forecasting is repeated for several α's. 4 23.61 Cumulative error (Σe2). 0 0.50 Smoothing constant (a). 2 25.11 Smoothing average (St-1). 3 0.42 Trend (Tt-1). 6 25.95 Last forecast (Dt+1). ...Expected usage for current (month 8) period, (Smoothed Dt). α Record for month 9, ( t+1). Smoothing Constant (α) .5 .1 .25 .2 Cumulative Error (Σe2) 23.61 25.14 17.01 18.03 For the selected α = .25 St+1= 24.28 Tt-1 = 0.34 Dt+1= 25.64 Forecasting: Keystrokes...
hp 12c_solutions handbook_English_E.pdf
Page 107
...pulses) h (feet) 2 2.5 3.5 4 4.5 30 50 90 130 150 Find the power curve formulas that in fact h is proportional to t2. Standard Error of the Mean The standard error of the mean is a measure of how reliable the mean of a sample (X) is h = 7.72t1.99 We know, as Galileo did not, that ...150 5.00 Fifth pair data input. 4.5 1.00 Correlation coefficient (between In y and ln x). 0 7.72 Value of A. 1 0 1.99 Value of B. To calculate the standard error of the mean of the population from which was drawn. levels of the Tower of Pisa (which the sample was leaning even then) and...
...pulses) h (feet) 2 2.5 3.5 4 4.5 30 50 90 130 150 Find the power curve formulas that in fact h is proportional to t2. Standard Error of the Mean The standard error of the mean is a measure of how reliable the mean of a sample (X) is h = 7.72t1.99 We know, as Galileo did not, that ...150 5.00 Fifth pair data input. 4.5 1.00 Correlation coefficient (between In y and ln x). 0 7.72 Value of A. 1 0 1.99 Value of B. To calculate the standard error of the mean of the population from which was drawn. levels of the Tower of Pisa (which the sample was leaning even then) and...
hp 12c_solutions handbook_English_E.pdf
Page 108
...numbers, key in the first number and press . Press to save time and effort in the x-value and press . What is the standard error of the mean of the values. 3. Continue until you have entered all of the x-values. 5. Continue until you have entered all of the ...Keystrokes Display CLEAR 190 200 6.00 205 205 216 Total number of inputs. 220 206.00 Average monthly rent. 10.86 Standard deviation. 1 4.43 Standard error of the mean of data points x1, x2, ... , xn with respective frequencies f1, f2, ... , fn 107 Press 1 mean . What are presented...
...numbers, key in the first number and press . Press to save time and effort in the x-value and press . What is the standard error of the mean of the values. 3. Continue until you have entered all of the x-values. 5. Continue until you have entered all of the ...Keystrokes Display CLEAR 190 200 6.00 205 205 216 Total number of inputs. 220 206.00 Average monthly rent. 10.86 Standard deviation. 1 4.43 Standard error of the mean of data points x1, x2, ... , xn with respective frequencies f1, f2, ... , fn 107 Press 1 mean . What are presented...
hp 12c_solutions handbook_English_E.pdf
Page 109
...199.44 3 5.97 Average monthly rent. Use the following HP-12C program for 206 per month, and 92 rent for the previous example: KEYSTROKES DISPLAY 108 this procedure computes the mean, standard deviation, and standard error of the mean ? Key in the respective frequency and press... data points entered. 4. Standard deviation. 0 0.37 Standard error of 266 one-bedroom apartment rentals reveals that 54 rent for $190 a month unfurnished, 32 rent for $195 per month, 88 rent for $200 per month. To calculate the mean (average) press 0 1 . . Example 1: A survey of the mean...
...199.44 3 5.97 Average monthly rent. Use the following HP-12C program for 206 per month, and 92 rent for the previous example: KEYSTROKES DISPLAY 108 this procedure computes the mean, standard deviation, and standard error of the mean ? Key in the respective frequency and press... data points entered. 4. Standard deviation. 0 0.37 Standard error of 266 one-bedroom apartment rentals reveals that 54 rent for $190 a month unfurnished, 32 rent for $195 per month, 88 rent for $200 per month. To calculate the mean (average) press 0 1 . . Example 1: A survey of the mean...
hp 12c_solutions handbook_English_E.pdf
Page 111
...be attributed to step 2. The formula generally used to test whether a set of observed frequencies differs from a set of frequencies. To calculate the mean . For a new case, go to chance. In other words, you are testing whether discrepancies between two sets of expected...the hypothesis under which the expected frequencies were obtained. 4. Press to find the standard deviation. 8. Standard deviation. 0.37 Standard error of the mean. 9. Press to find the standard error of the mean , press 05 . Repeat steps 3 and 4 for each data point. 6. Average monthly rent (maen). The...
...be attributed to step 2. The formula generally used to test whether a set of observed frequencies differs from a set of frequencies. To calculate the mean . For a new case, go to chance. In other words, you are testing whether discrepancies between two sets of expected...the hypothesis under which the expected frequencies were obtained. 4. Press to find the standard deviation. 8. Standard deviation. 0.37 Standard error of the mean. 9. Press to find the standard error of the mean , press 05 . Repeat steps 3 and 4 for each data point. 6. Average monthly rent (maen). The...
hp 12c_solutions handbook_English_E.pdf
Page 115
Derenzo, "Approximations for Hand Calculators Using Small Integer Coefficients," Mathematics of Computation, Vol. 31, No. 137, page 214-225; KEYSTROKES DISPLAY CLEAR 0 8 3 00010203114 44 0 8 3 Jan 1977. Relative error less than 0.042% over the range 0 < x < 5.5 Reference: Stephen E.
Derenzo, "Approximations for Hand Calculators Using Small Integer Coefficients," Mathematics of Computation, Vol. 31, No. 137, page 214-225; KEYSTROKES DISPLAY CLEAR 0 8 3 00010203114 44 0 8 3 Jan 1977. Relative error less than 0.042% over the range 0 < x < 5.5 Reference: Stephen E.
hp 12c_solutions handbook_English_E.pdf
Page 158
3n S3 = ∑ Inyi = n lnc + b2n + 1( ln a) b--b--n---------1--1- Xt • ∑ Cumulative error = et2 t=1 • Initial conditions: St-1 = Xt-1 Tt-1 = 0 Pricing Calculations Markup and Margin Calculations • Ma = margin(%). • Mu = markup(%). • S = selling price. • C = cost. 157 St - 1 • Trend, Tt = αCt + (1 - α)Tt - 1 • Current period expected usage, • Forecast of next period expected usage, • Error, et = t - i = 2n + 1 • Smoothed average St = αXt + (1 - α)St - 1 • Change, Ct = St -
3n S3 = ∑ Inyi = n lnc + b2n + 1( ln a) b--b--n---------1--1- Xt • ∑ Cumulative error = et2 t=1 • Initial conditions: St-1 = Xt-1 Tt-1 = 0 Pricing Calculations Markup and Margin Calculations • Ma = margin(%). • Mu = markup(%). • S = selling price. • C = cost. 157 St - 1 • Trend, Tt = αCt + (1 - α)Tt - 1 • Current period expected usage, • Forecast of next period expected usage, • Error, et = t - i = 2n + 1 • Smoothed average St = αXt + (1 - α)St - 1 • Change, Ct = St -
hp 12c_solutions handbook_English_E.pdf
Page 161
... ) • = A + B (ln x) Power Curve Fit • y = AxB (A>0) • ln y = ln A + Bln x • (---Σ----l--n---x----i l--n---y----i-)- B n Σ( ln xi ) 2 - (---Σ----l--n---x----i-)--2n • A = exp -Σ----l-n----y---i - BΣ-----l-n----x---i n n • = AxB Standard Error of the Mean • SX = S-----X-n Sy = -S----yn Mean, Standard Deviation, Standard...
... ) • = A + B (ln x) Power Curve Fit • y = AxB (A>0) • ln y = ln A + Bln x • (---Σ----l--n---x----i l--n---y----i-)- B n Σ( ln xi ) 2 - (---Σ----l--n---x----i-)--2n • A = exp -Σ----l-n----y---i - BΣ-----l-n----x---i n n • = AxB Standard Error of the Mean • SX = S-----X-n Sy = -S----yn Mean, Standard Deviation, Standard...
hp 12c_solutions handbook_English_E.pdf
Page 162
• mean X = Σ---Σ-f--i-f-x-i-i • standard deviation Sx = Σ----f--i--x---i2Σ-----f--i---(---Σ--1--f--i-)---X----2• standard error Sx = Σfi Personal Finance Tax-Free Retirement Account (IRA) or Keogh Plan • n = the number of a portfolio. 161 For ordinary taxable investment: • FV = i--(---1-P-----M----t--...
• mean X = Σ---Σ-f--i-f-x-i-i • standard deviation Sx = Σ----f--i--x---i2Σ-----f--i---(---Σ--1--f--i-)---X----2• standard error Sx = Σfi Personal Finance Tax-Free Retirement Account (IRA) or Keogh Plan • n = the number of a portfolio. 161 For ordinary taxable investment: • FV = i--(---1-P-----M----t--...
hp 12c_solutions handbook_English_E.pdf
Page 163
j--k----+---1----------i--k---+----1k+1 • This formula is only approximate and may give appreciable error at small i. 162 Portfolio beta coefficient: • n ∑ β = -P----i-S----i--β---i T T Canadian Mortgages • r = annual interest rate expressed as a decimal. • monthly factor 1-- = ...
j--k----+---1----------i--k---+----1k+1 • This formula is only approximate and may give appreciable error at small i. 162 Portfolio beta coefficient: • n ∑ β = -P----i-S----i--β---i T T Canadian Mortgages • r = annual interest rate expressed as a decimal. • monthly factor 1-- = ...
HP 12c Financial Calculator Quick Start Guide
Page 2
... Diego, CA 92127-1899 USA Printing History Edition 1, October 2008 Copyright © 2008 Hewlett-Packard Development Company, L.P. Hewlett-Packard Company makes no warranty of any errors or for a particular purpose.
... Diego, CA 92127-1899 USA Printing History Edition 1, October 2008 Copyright © 2008 Hewlett-Packard Development Company, L.P. Hewlett-Packard Company makes no warranty of any errors or for a particular purpose.
HP 12c Financial Calculator Quick Start Guide
Page 11
...answer is calculated immediately and displayed. With "Pr Error" dis- Each time you wanted to their defaults, turn the calculator off . For example, suppose you press an operation or function key in RPN mode. Special registers are used for storing numbers during calculations, the "... through R9 , R.0 through R.9 , and financial registers used for financial calculations. Press 1R2;. played, press any key to return to the HP 12c Financial Calculator User's Guide. All information in the Continuous memory is preserved even while the calculator is used for storing the last number in ...
...answer is calculated immediately and displayed. With "Pr Error" dis- Each time you wanted to their defaults, turn the calculator off . For example, suppose you press an operation or function key in RPN mode. Special registers are used for storing numbers during calculations, the "... through R9 , R.0 through R.9 , and financial registers used for financial calculations. Press 1R2;. played, press any key to return to the HP 12c Financial Calculator User's Guide. All information in the Continuous memory is preserved even while the calculator is used for storing the last number in ...
HP 12c Financial Calculator Quick Start Guide
Page 25
...If HP receives... defects. HP does not warrant that HP hardware, ... region, please visit www.hp.com/support for the period...such defects during the warranty period, HP will, at its programming instructions after...HP receives notice of HP products will be entitled to a refund of the purchase price upon prompt return of the product with HP. If HP... is unable, within a reasonable time, to repair or replace any product to defects in material and workmanship when properly installed and used. HP... warrants to new in materials and workmanship after the date of purchase. HP...
...If HP receives... defects. HP does not warrant that HP hardware, ... region, please visit www.hp.com/support for the period...such defects during the warranty period, HP will, at its programming instructions after...HP receives notice of HP products will be entitled to a refund of the purchase price upon prompt return of the product with HP. If HP... is unable, within a reasonable time, to repair or replace any product to defects in material and workmanship when properly installed and used. HP... warrants to new in materials and workmanship after the date of purchase. HP...
HP 12c Financial Calculator Quick Start Guide
Page 26
...gives you specific legal rights and you might not apply to you. The only warranties for technical or editorial errors or omissions contained herein. HP shall not be liable for HP products and services are set forth in the express warranty statements accompanying such products and services. Some countries, ... BY LOCAL LAW, THE REMEDIES IN THIS WARRANTY STATEMENT ARE YOUR SOLE AND EXCLUSIVE REMEDIES. EXCEPT AS INDICATED ABOVE, IN NO EVENT WILL HP OR ITS SUPPLIERS BE LIABLE FOR LOSS OF DATA OR FOR DIRECT, SPECIAL, INCIDENTAL, CONSEQUENTIAL (INCLUDING LOST PROFIT OR DATA), OR OTHER DAMAGE...
...gives you specific legal rights and you might not apply to you. The only warranties for technical or editorial errors or omissions contained herein. HP shall not be liable for HP products and services are set forth in the express warranty statements accompanying such products and services. Some countries, ... BY LOCAL LAW, THE REMEDIES IN THIS WARRANTY STATEMENT ARE YOUR SOLE AND EXCLUSIVE REMEDIES. EXCEPT AS INDICATED ABOVE, IN NO EVENT WILL HP OR ITS SUPPLIERS BE LIABLE FOR LOSS OF DATA OR FOR DIRECT, SPECIAL, INCIDENTAL, CONSEQUENTIAL (INCLUDING LOST PROFIT OR DATA), OR OTHER DAMAGE...
hp 12c_user's guide_English_E_HDPMBF12E44.pdf
Page 2
...of this manual is prohibited without prior written permission of 209 Dimension: 14.8 cm x 21 cm SHALL NOT BE LIABLE FOR ANY ERRORS OR FOR INCIDENTAL OR CONSEQUENTIAL DAMAGES IN CONNECTION WITH THE FURNISHING, PERFORMANCE, OR USE OF THIS MANUAL OR THE EXAMPLES CONTAINED HEREIN...., L.P. Hewlett-Packard Company 4995 Murphy Canyon Rd, Suite 301 San Diego, CA 92123 Printing History Edition 4 August 2004 2 File name: hp 12c_user's guide_English_HDPMBF12E44 Printered Date: 2005/7/29 Page: 2 of Hewlett-Packard Company, except as allowed under the copyright laws. HEWLETT-PACKARD COMPANY MAKES...
...of this manual is prohibited without prior written permission of 209 Dimension: 14.8 cm x 21 cm SHALL NOT BE LIABLE FOR ANY ERRORS OR FOR INCIDENTAL OR CONSEQUENTIAL DAMAGES IN CONNECTION WITH THE FURNISHING, PERFORMANCE, OR USE OF THIS MANUAL OR THE EXAMPLES CONTAINED HEREIN...., L.P. Hewlett-Packard Company 4995 Murphy Canyon Rd, Suite 301 San Diego, CA 92123 Printing History Edition 4 August 2004 2 File name: hp 12c_user's guide_English_HDPMBF12E44 Printered Date: 2005/7/29 Page: 2 of Hewlett-Packard Company, except as allowed under the copyright laws. HEWLETT-PACKARD COMPANY MAKES...
hp 12c_user's guide_English_E_HDPMBF12E44.pdf
Page 6
...Financial Registers 33 Simple Interest Calculations 33 Financial Calculations and the Cash Flow Diagram 34 The Cash Flow Sign Convention 36 The Payment Mode 37 Generalized Cash Flow Diagrams 37 Compound Interest Calculations 39 Specifying the Number of Compounding Periods and the Periodic Interest Rate 39 Calculating...Notation Display Format 72 Special Displays 73 The key 74 The Key 74 Arithmetic Calculations With Constants 75 Recovering From Errors in Digit Entry 75 File name: hp 12c_user's guide_English_HDPMBF12E44 Printered Date: 2005/7/29 Page: 6 of 209 Dimension: 14.8...
...Financial Registers 33 Simple Interest Calculations 33 Financial Calculations and the Cash Flow Diagram 34 The Cash Flow Sign Convention 36 The Payment Mode 37 Generalized Cash Flow Diagrams 37 Compound Interest Calculations 39 Specifying the Number of Compounding Periods and the Periodic Interest Rate 39 Calculating...Notation Display Format 72 Special Displays 73 The key 74 The Key 74 Arithmetic Calculations With Constants 75 Recovering From Errors in Digit Entry 75 File name: hp 12c_user's guide_English_HDPMBF12E44 Printered Date: 2005/7/29 Page: 6 of 209 Dimension: 14.8...
hp 12c_user's guide_English_E_HDPMBF12E44.pdf
Page 9
... 174 Calendar and Financial Functions 175 The LAST X Register and the Key 176 Chain Calculations 176 Arithmetic Calculations with Constants 177 Appendix B: More About L 179 Appendix C: Error Conditions 181 Error 0: Mathematics 181 Error 1: Storage Register Overflow 182 Error 2: Statistics 182 Error 3: IRR 182 Error 4: Memory 182 Error 5: Compound Interest 183 Error 6: Storage Registers 183 Error 7: IRR 184 Error 8: Calendar 184 Error 9: Service 184 Pr...
... 174 Calendar and Financial Functions 175 The LAST X Register and the Key 176 Chain Calculations 176 Arithmetic Calculations with Constants 177 Appendix B: More About L 179 Appendix C: Error Conditions 181 Error 0: Mathematics 181 Error 1: Storage Register Overflow 182 Error 2: Statistics 182 Error 3: IRR 182 Error 4: Memory 182 Error 5: Compound Interest 183 Error 6: Storage Registers 183 Error 7: IRR 184 Error 8: Calendar 184 Error 9: Service 184 Pr...
hp 12c_user's guide_English_E_HDPMBF12E44.pdf
Page 70
... The calculator's Continuous Memory contains the data storage registers, the financial registers, the stack and LAST X registers, program memory, and status information such as follows: 1. You can change the batteries without losing your data and programs. Continuous Memory may be reset if the calculator is ...set to month-day-year. key, and press ;. Turn the calculator off . z Date format is turned off . 2. z Payment mode is preserved for a short time when the batteries are cleared. Pressing any key will show Pr Error. z Program memory consists of 209 Dimension: 14.8 cm x 21...
... The calculator's Continuous Memory contains the data storage registers, the financial registers, the stack and LAST X registers, program memory, and status information such as follows: 1. You can change the batteries without losing your data and programs. Continuous Memory may be reset if the calculator is ...set to month-day-year. key, and press ;. Turn the calculator off . z Date format is turned off . 2. z Payment mode is preserved for a short time when the batteries are cleared. Pressing any key will show Pr Error. z Program memory consists of 209 Dimension: 14.8 cm x 21...