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Calculate Three Forecasts Using the Following Data

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Calculate three forecasts using the following data. First, for periods 4 through 10, develop the exponentially smoothed forecasts using a forecast for period 3 (F₃) of 45.0 and an alpha of 0.4. Second, calculate the three-period moving-average forecast for periods 4 through 10. Third, calculate the weighted moving average for periods 4 through 10, using weights of .70, .20, and .10, with 0.70 applied to the most recent data. Calculate the mean absolute deviation (MAD) and the cumulative sum of forecast error (CFE) for each forecasting procedure. Which forecasting procedure would you select? Why?
Calculate three forecasts using the following data. First, for periods 4 through 10, develop the exponentially smoothed forecasts using a forecast for period 3 (F₃) of 45.0 and an alpha of 0.4. Second, calculate the three-period moving-average forecast for periods 4 through 10. Third, calculate the weighted moving average for periods 4 through 10, using weights of .70, .20, and .10, with 0.70 applied to the most recent data. Calculate the mean absolute deviation (MAD) and the cumulative sum of forecast error (CFE) for each forecasting procedure. Which forecasting procedure would you select? Why?

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Definitions:

Proportional

Proportional refers to a relationship or distribution in which changes in one variable correspond to equal changes in another variable.

Social Security Tax

A tax levied on both employers and employees to fund the Social Security program, which provides retirement, disability, and survivorship benefits.

Payroll Tax

Dues collected from employees or employers, calculated by taking a fraction of the pay employers give to their workers.

Taxable Income

The amount of income that is subject to income tax after all deductions, exemptions, and adjustments have been accounted for.

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