Data collected on the yearly registrations for a Six Sigma seminar at the Quality College are shown in the following table:

Use exponential smoothing with a smoothing constant of $0\mathrm{.}3$ to forecast the registrations at the seminar for years $2$ through $12.$ To begin

the procedure, assume that the forecast for year $1$ was $5,000$ people signing up $($round your responses to one decimal place$)$:

a$)$ What is the MAD?

Mean absolute deviation based on the forecast developed using the exponential smoothing method $($with a smoothing constant $()=0\mathrm{.}3$ and a

starting forecast of $F_1=5)$ is thousand registrations $($round your response to one decimal place$).$

b$)$ What is the MSE?

The mean squared error based on the forecast developed using the exponential smoothing method $($with a smoothing constant $()=0\mathrm{.}3$ and a

starting forecast of $F_1=5)$ is $($round your response to two decimal places$).$