Question: The following data represents the monthly electrical expense for an office space over the past three years. You are considering opening a new business in
The following data represents the monthly electrical expense for an office space over the past three years. You are considering opening a new business in this office space and are preparing an expected budget for your business plan.
| Month | Year 1 | Year 2 | Year 3 |
| January | 170 | 180 | 195 |
| February | 180 | 205 | 210 |
| March | 205 | 215 | 230 |
| April | 230 | 245 | 280 |
| May | 240 | 265 | 290 |
| June | 315 | 330 | 390 |
| July | 360 | 400 | 420 |
| August | 290 | 335 | 330 |
| September | 240 | 260 | 290 |
| October | 240 | 270 | 295 |
| November | 230 | 255 | 280 |
| December | 195 | 220 | 250 |
a) Using overall average develop a seasonal index for each month and report your results.
b) Using centered moving average develop a seasonal index for each month and report your results.
c) Using the centered moving average data to predict the electric bill for each month of next year. Report your results.
d) Use the data below to predict the electric bill for each month of next year using linear trend and the seasonal index from the overall average. Report your results.
| Month | Year 1 | Year 2 | Year 3 |
| January | 247.852 | 262.431 | 284.3 |
| February | 240.378 | 273.764 | 280.441 |
| March | 250.599 | 262.824 | 281.16 |
| April | 242.058 | 257.845 | 294.68 |
| May | 239.874 | 264.861 | 289.848 |
| June | 241.83 | 253.345 | 299.408 |
| July | 242.415 | 269.35 | 282.818 |
| August | 241.287 | 278.728 | 274.568 |
| September | 241.392 | 261.508 | 291.682 |
| October | 236.894 | 266.506 | 291.183 |
| November | 238.894 | 264.861 | 290.828 |
| December | 232.998 | 262.87 | 298.716 |
e) Compare the results between your predictions in parts c and d. Which set of predictions would you use? Explain your answer.
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