The Table Below Shows the Demand for Gadgets (They're Like

Essay

The table below shows the demand for Gadgets (they're like Widgets, only they're more mechanical) over a five-month period. Calculate exponential smoothing forecasts for each month and for July. Use a coefficient of 0.5 and assume that the forecast for January was 8. Also evaluate the quality of the exponential smoothing model by calculating the root-mean-square error for the data set. Note: Round all intermediate calculations to two decimal places.
$$\begin{array} { c c } \text { Month } & \text { Demand } \\\text { Jan } & 10 \\\text { Feb } & 5 \\\text { Mar } & 10 \\\text { Apr } & 8 \\\text { May } & 5 \\\text { Jun } & 10\end{array}$$