A convenience store recently started to carry a new brand of soft drink. Management is interested in estimating

future sales volume to determine whether it should continue to carry the new brand or replace it with another

brand. The following table provides the number of cans sold per week. Use both the trend projection with

regression and the exponential smoothing $($let $=0\mathrm{.}4$ with an initial forecast for week $1$ of $567)$ methods to

forecast demand for week $13.$ Compare these methods by using the mean absolute deviation and mean absolute

percent error performance criteria. Does your analysis suggest that sales are trending and if so$,$ by how much?

$($i$)$ Obtain the trend projection with regression forecast.

The forecast for week $13$ is

$.($Enter your response rounded to the nearest whole number.$)$

Specify the mean absolute deviation $($MAD$)$ and mean absolute percent error $($MAPE$).($Enter your responses

rounded to two decimal places.$)$

$($ii$)$ Obtain the exponential smoothing forecast.

The forecast for week $13$ is

$.($Enter your response rounded to the nearest whole number.$)$

Specify the mean absolute deviation $($MAD$)$ and mean absolute percent error $($MAPE$).($Enter your responses

rounded to two decimal places.$)$