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.
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