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For the past two years, a department store has carried a new type of electronic calculator. Sales of this calculator have generally been increasing over these two years. They attempt to ensure that their stores will have enough calculators to meet practically all of the demand. The data is provided in the following table. Month January February March April May June July August September October November December Year 1 197 211 203 247 239 269 308 262 258 256 261 288 Year 2 296 276 305 308 356 393 363 386 443 308 358 384 By using Excel or some other statistical package: (a) Find the initial values lo and bo, to fit a straight line to the first half of the data. (b) Set up a spreadsheet to perform Holt's trend corrected exponential smoothing. (c) Find the values of a and y that minimize the SSE (mention which software did you use) (d) Find point forecasts and 95% prediction intervals for January, February, and March of year 3. (e) Right a short report and present your findings with some interpretations. (f) Submit your spreadsheets along with the report.

For the past two years, a department store has carried a new type of electronic calculator. Sales of this calculator have generally been increasing over these two years. They attempt to ensure that their stores will have enough calculators to meet practically all of the demand. The data is provided in the following table. Month January February March April May June July August September October November December Year 1 197 211 203 247 239 269 308 262 258 256 261 288 Year 2 296 276 305 308 356 393 363 386 443 308 358 384 By using Excel or some other statistical package: (a) Find the initial values lo and bo, to fit a straight line to the first half of the data. (b) Set up a spreadsheet to perform Holt's trend corrected exponential smoothing. (c) Find the values of a and y that minimize the SSE (mention which software did you use) (d) Find point forecasts and 95% prediction intervals for January, February, and March of year 3. (e) Right a short report and present your findings with some interpretations. (f) Submit your spreadsheets along with the report.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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### Sales Analysis of Electronic Calculators For the past two years, a department store has carried a new type of electronic calculator. Sales of this calculator have generally been increasing over these two years. They attempt to ensure that their stores will have enough calculators to meet practically all of the demand. The data is provided in the following table. #### Monthly Sales Data | Month | Year 1 | Year 2 | |------------|--------|--------| | January | 197 | 296 | | February | 211 | 276 | | March | 203 | 305 | | April | 247 | 308 | | May | 239 | 356 | | June | 269 | 393 | | July | 308 | 363 | | August | 262 | 386 | | September | 258 | 443 | | October | 256 | 308 | | November | 261 | 358 | | December | 288 | 384 | #### Analytical Task Instructions By using Excel or some other statistical package, complete the following tasks: 1. **Initial Value Calculation:** - Find the initial values \( l_0 \) and \( b_0 \) to fit a straight line to the first half of the data. 2. **Spreadsheet Setup:** - Set up a spreadsheet to perform Holt's trend corrected exponential smoothing. 3. **Parameter Optimization:** - Find the values of \( \alpha \) and \( \gamma \) that minimize the Sum of Squared Errors (SSE). Specify which software you used. 4. **Forecasting:** - Find point forecasts and 95% prediction intervals for January, February, and March of year 3. 5. **Report Writing:** - Write a short report and present your findings with some interpretations. 6. **Submission:** - Submit your spreadsheets along with the report.
Transcribed Image Text:### Sales Analysis of Electronic Calculators For the past two years, a department store has carried a new type of electronic calculator. Sales of this calculator have generally been increasing over these two years. They attempt to ensure that their stores will have enough calculators to meet practically all of the demand. The data is provided in the following table. #### Monthly Sales Data | Month | Year 1 | Year 2 | |------------|--------|--------| | January | 197 | 296 | | February | 211 | 276 | | March | 203 | 305 | | April | 247 | 308 | | May | 239 | 356 | | June | 269 | 393 | | July | 308 | 363 | | August | 262 | 386 | | September | 258 | 443 | | October | 256 | 308 | | November | 261 | 358 | | December | 288 | 384 | #### Analytical Task Instructions By using Excel or some other statistical package, complete the following tasks: 1. **Initial Value Calculation:** - Find the initial values \( l_0 \) and \( b_0 \) to fit a straight line to the first half of the data. 2. **Spreadsheet Setup:** - Set up a spreadsheet to perform Holt's trend corrected exponential smoothing. 3. **Parameter Optimization:** - Find the values of \( \alpha \) and \( \gamma \) that minimize the Sum of Squared Errors (SSE). Specify which software you used. 4. **Forecasting:** - Find point forecasts and 95% prediction intervals for January, February, and March of year 3. 5. **Report Writing:** - Write a short report and present your findings with some interpretations. 6. **Submission:** - Submit your spreadsheets along with the report.
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