hp 12c_solutions handbook_English_E.pdf
Page 91
...(α), 2 (smoothed average St-1), 3 (trend Tt-1) and 6 (forecast t+1). 10. Press ; The result is selected based on the lowest cumulative forecasting error (Register 4). Optional: Press 5 to display the smoothed estimate of current demand. 8. When doing step 5 merely key in the "trial " and press 0... "best" smoothing constant (α): 1. Continue steps 5 and 6 for X3, X4, ... This value represents the cumulative forecasting error (Σe2). Record the value and the following additional values; Forecasting: 90 Repeat steps 2 through 10 until all historical values...
...(α), 2 (smoothed average St-1), 3 (trend Tt-1) and 6 (forecast t+1). 10. Press ; The result is selected based on the lowest cumulative forecasting error (Register 4). Optional: Press 5 to display the smoothed estimate of current demand. 8. When doing step 5 merely key in the "trial " and press 0... "best" smoothing constant (α): 1. Continue steps 5 and 6 for X3, X4, ... This value represents the cumulative forecasting error (Σe2). Record the value and the following additional values; Forecasting: 90 Repeat steps 2 through 10 until all historical values...
hp 12c_solutions handbook_English_E.pdf
Page 92
....00 23 6 0.00 23.00 23 23.25 25 25.25 23 23.69 27 27.13 25 25.95 91 The output is the error in the trend Tt-1 and press 3. Repeat steps 4, 5, and 6 for the next 6. o Key in 5. From the selection routing or from a previous forecast: o Key in the...
....00 23 6 0.00 23.00 23 23.25 25 25.25 23 23.69 27 27.13 25 25.95 91 The output is the error in the trend Tt-1 and press 3. Repeat steps 4, 5, and 6 for the next 6. o Key in 5. From the selection routing or from a previous forecast: o Key in the...
hp 12c_solutions handbook_English_E.pdf
Page 93
... 4 periods of current data should be entered before forecasting is repeated for several α's. The procedure is attempted. 92 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:... 26.16 25.80 0.25 24.71 0.36 26.16 Forecast for initial values when month 9 actual figures become available. 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).
... 4 periods of current data should be entered before forecasting is repeated for several α's. The procedure is attempted. 92 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:... 26.16 25.80 0.25 24.71 0.36 26.16 Forecast for initial values when month 9 actual figures become available. 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).
hp 12c_solutions handbook_English_E.pdf
Page 107
... : 106 t (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. To calculate the standard error of the mean of the population from which was drawn. The following data are measurements Galileo might have made. levels of the Tower of... its descent by counting his pulse. The formula that best expresses h as a function of t is as a function of t (h = AtB). 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...
... : 106 t (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. To calculate the standard error of the mean of the population from which was drawn. The following data are measurements Galileo might have made. levels of the Tower of... its descent by counting his pulse. The formula that best expresses h as a function of t is as a function of t (h = AtB). 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...
hp 12c_solutions handbook_English_E.pdf
Page 108
... ? Alternatively, press 1 to obtain the mean of the values. 4. What are summing two sets of the x-values. 5. Press to obtain the standard error for the mean of numbers, key in the y-value and press , key in writing down (or entering) each observation individually. Example: A sample of ...to save time and effort in the x-value and press . Given a set of numbers, key in frequency distributions to obtain the standard error of the mean monthly rental and the standard deviation? Keystrokes Display CLEAR 190 200 6.00 205 205 216 Total number of inputs. 220...
... ? Alternatively, press 1 to obtain the mean of the values. 4. What are summing two sets of the x-values. 5. Press to obtain the standard error for the mean of numbers, key in the y-value and press , key in writing down (or entering) each observation individually. Example: A sample of ...to save time and effort in the x-value and press . Given a set of numbers, key in frequency distributions to obtain the standard error of the mean monthly rental and the standard deviation? Keystrokes Display CLEAR 190 200 6.00 205 205 216 Total number of inputs. 220...
hp 12c_solutions handbook_English_E.pdf
Page 109
... the mean? Example 1: A survey of the mean. 1. What are the average monthly rental, the standard deviation, and the standard error of the mean. Use the following HP-12C program for the previous example: KEYSTROKES DISPLAY 108 Key in the respective frequency and press 0 display shows the number of the mean. Key in the... Second data pair entered. 200 88 0 3.00 Third data pair entered. 206 92 0 4.00 Fourth data pair entered. 0 1 6 199.44 3 5.97 Average monthly rent. To calculate the mean (average) press 0 1 . . The 6 3 6.
... the mean? Example 1: A survey of the mean. 1. What are the average monthly rental, the standard deviation, and the standard error of the mean. Use the following HP-12C program for the previous example: KEYSTROKES DISPLAY 108 Key in the respective frequency and press 0 display shows the number of the mean. Key in the... Second data pair entered. 200 88 0 3.00 Third data pair entered. 206 92 0 4.00 Fourth data pair entered. 0 1 6 199.44 3 5.97 Average monthly rent. To calculate the mean (average) press 0 1 . . The 6 3 6.
hp 12c_solutions handbook_English_E.pdf
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4. To calculate the mean . For a new case, go to chance. The display shows the . 7. Keystrokes Display CLEAR 190 1.00... 9. Average monthly rent (maen). Press to reject the hypothesis under which the expected frequencies were obtained. Standard deviation. 0.37 Standard error of data points entered. 5. In other words, you are testing whether discrepancies between two sets of expected frequencies sufficiently to find the ... they may reasonable be attributed to step 2. The formula generally used is used to find the standard error of data sets. It is : 110
4. To calculate the mean . For a new case, go to chance. The display shows the . 7. Keystrokes Display CLEAR 190 1.00... 9. Average monthly rent (maen). Press to reject the hypothesis under which the expected frequencies were obtained. Standard deviation. 0.37 Standard error of data points entered. 5. In other words, you are testing whether discrepancies between two sets of expected frequencies sufficiently to find the ... they may reasonable be attributed to step 2. The formula generally used is used to find the standard error of data sets. It is : 110
hp 12c_solutions handbook_English_E.pdf
Page 115
KEYSTROKES DISPLAY CLEAR 0 8 3 00010203114 44 0 8 3 Derenzo, "Approximations for Hand Calculators Using Small Integer Coefficients," Mathematics of Computation, Vol. 31, No. 137, page 214-225; Relative error less than 0.042% over the range 0 < x < 5.5 Reference: Stephen E. Jan 1977.
KEYSTROKES DISPLAY CLEAR 0 8 3 00010203114 44 0 8 3 Derenzo, "Approximations for Hand Calculators Using Small Integer Coefficients," Mathematics of Computation, Vol. 31, No. 137, page 214-225; Relative error less than 0.042% over the range 0 < x < 5.5 Reference: Stephen E. Jan 1977.
hp 12c_solutions handbook_English_E.pdf
Page 158
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 i = 2n + 1 • Smoothed average St = αXt + (1 - α)St - 1 • Change, Ct = St - St - 1 • Trend, Tt = αCt + (1 - α)Tt - 1 • Current period expected usage, • Forecast of next period expected usage, • Error, et = t - 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 i = 2n + 1 • Smoothed average St = αXt + (1 - α)St - 1 • Change, Ct = St - St - 1 • Trend, Tt = αCt + (1 - α)Tt - 1 • Current period expected usage, • Forecast of next period expected usage, • Error, et = t - 3n S3 = ∑ Inyi = n lnc + b2n + 1( ln a) b--b--n---------1--1-
hp 12c_solutions handbook_English_E.pdf
Page 161
... the Mean • SX = S-----X-n Sy = -S----yn Mean, Standard Deviation, Standard Error for Grouped Data 160 B n Σ( ln xi ) 2 - (---Σ----l--n---x----i-)--2n • A = exp -Σ----l-n----y---i - • B = Σ----y----i-l--n----x---i--------1n------Σ----l-n----x----i-Σ----l--n----y--i Σ ( ln xi )2 - 1-n ( Σ ln x)2 • A = 1-n (Σyi - B...
... the Mean • SX = S-----X-n Sy = -S----yn Mean, Standard Deviation, Standard Error for Grouped Data 160 B n Σ( ln xi ) 2 - (---Σ----l--n---x----i-)--2n • A = exp -Σ----l-n----y---i - • B = Σ----y----i-l--n----x---i--------1n------Σ----l-n----x----i-Σ----l--n----y--i Σ ( ln xi )2 - 1-n ( Σ ln x)2 • A = 1-n (Σyi - B...
hp 12c_solutions handbook_English_E.pdf
Page 162
...; FV= future value. • tax= the percent tax expressed as a decimal. • 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 tax)]{[1 + i(1 - For ordinary taxable investment: •...
...; FV= future value. • tax= the percent tax expressed as a decimal. • 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 tax)]{[1 + i(1 - For ordinary taxable investment: •...
hp 12c_solutions handbook_English_E.pdf
Page 163
...; Cn = C1nk Cij = the average cost of the ith through jth unit. • Cij = j--C------1-1-- j--k----+---1----------i--k---+----1k+1 • This formula is only approximate and may give appreciable error at small i. 162
...; Cn = C1nk Cij = the average cost of the ith through jth unit. • Cij = j--C------1-1-- j--k----+---1----------i--k---+----1k+1 • This formula is only approximate and may give appreciable error at small i. 162
HP 12c Financial Calculator Quick Start Guide
Page 2
... limited to this manual or the examples contained herein. Copyright © 2008 Hewlett-Packard Development Company, L.P. Hewlett-Packard Company shall not be liable for any errors or for a particular purpose. Hewlett-Packard Company 16399 West Bernardo Drive San Diego, CA 92127-1899 USA Printing History Edition 1, October 2008
... limited to this manual or the examples contained herein. Copyright © 2008 Hewlett-Packard Development Company, L.P. Hewlett-Packard Company shall not be liable for any errors or for a particular purpose. Hewlett-Packard Company 16399 West Bernardo Drive San Diego, CA 92127-1899 USA Printing History Edition 1, October 2008
HP 12c Financial Calculator Quick Start Guide
Page 11
...calculated immediately and displayed. Reverse Polish Notation (RPN) Mode The following information is used for financial calculations. Special registers are used for storing numbers during calculations..., the "stack" registers, and the "Last X" register, which you can manually store data, designated R0 through R9 , R.0 through R.9 , and financial... the HP 12c Financial Calculator User's...calculator's settings to the default calculator...registers make up the calculator's Continuous memory. Getting...
...calculated immediately and displayed. Reverse Polish Notation (RPN) Mode The following information is used for financial calculations. Special registers are used for storing numbers during calculations..., the "stack" registers, and the "Last X" register, which you can manually store data, designated R0 through R9 , R.0 through R.9 , and financial... the HP 12c Financial Calculator User's...calculator's settings to the default calculator...registers make up the calculator's Continuous memory. Getting...
HP 12c Financial Calculator Quick Start Guide
Page 25
sive description of HP products will be uninterrupted or error free. Replacement products may also have been subject to incidental use. HP does not warrant that the operation of your limited warranty entitlements. Warranty does not apply to defects resulting from defects in materials and workmanship after ...
sive description of HP products will be uninterrupted or error free. Replacement products may also have been subject to incidental use. HP does not warrant that the operation of your limited warranty entitlements. Warranty does not apply to defects resulting from defects in materials and workmanship after ...
HP 12c Financial Calculator Quick Start Guide
Page 26
... MANDATORY STATUTORY RIGHTS APPLICABLE TO THE SALE OF THIS PRODUCT TO YOU. 22 Getting Started 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, WHETHER BASED IN CONTRACT, TORT, OR OTHERWISE. The only warranties for technical or editorial errors or omissions contained herein. plied by HP, (c) unauthorized modification or misuse, (d) operation outside of an implied warranty, so the above limitation or exclusion may not apply ...
... MANDATORY STATUTORY RIGHTS APPLICABLE TO THE SALE OF THIS PRODUCT TO YOU. 22 Getting Started 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, WHETHER BASED IN CONTRACT, TORT, OR OTHERWISE. The only warranties for technical or editorial errors or omissions contained herein. plied by HP, (c) unauthorized modification or misuse, (d) operation outside of an implied warranty, so the above limitation or exclusion may not apply ...
hp 12c_user's guide_English_E_HDPMBF12E44.pdf
Page 2
...21 cm 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. 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. ...
...21 cm 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. 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. ...
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
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... 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
...power is interrupted. Section 5 Additional Operating Features Continuous Memory The calculator's Continuous Memory contains the data storage registers, the financial registers, the stack and LAST X registers, program memory, and ... reset, the display will clear this message from the display. 70 File name: hp 12c_user's guide_English_HDPMBF12E44 Printered Date: 2005/7/29 Page: 70 of eight program lines, each... z Payment mode is turned off . 2. Pressing any key will show Pr Error. Turn the calculator off . All information in Continuous Memory is reset: z All registers are removed...
...power is interrupted. Section 5 Additional Operating Features Continuous Memory The calculator's Continuous Memory contains the data storage registers, the financial registers, the stack and LAST X registers, program memory, and ... reset, the display will clear this message from the display. 70 File name: hp 12c_user's guide_English_HDPMBF12E44 Printered Date: 2005/7/29 Page: 70 of eight program lines, each... z Payment mode is turned off . 2. Pressing any key will show Pr Error. Turn the calculator off . All information in Continuous Memory is reset: z All registers are removed...