As you can see in the following table, demand for heart transplant surgery at Washington General Hospital has increased steadily in the past few years:

The director of medical services predicted $6$ years ago that demand in year $1$ would be $44\mathrm{.}0$ surgeries.

a$)$ Using exponential smoothing with $$ of $0\mathrm{.}60$ and the given forecast for year $1,$ the forecasts for years $2$ through $6$ are $($round your responses to one decimal place$)$:

For the forecast made using exponential smoothing with $=0\mathrm{.}60$ and the given forecast for year $1,$MAD$=4\mathrm{.}1$ surgeries $($round your response to one decimal place$).$

Using exponential smoothing with $$ of $0\mathrm{.}90$ and the given forecast for year $1,$ the forecasts for years $2$ through $6$ are $($round your responses to one decimal place$)$:

For the forecast made using exponential smoothing with $=0\mathrm{.}90$ and the given forecast for year $1,$MAD$=2\mathrm{.}8$ surgeries $($round your response to one decimal place$).$

b$)$ Forecasts for years $4$ through $6$ using a $3-$year moving average are $($round your responses to one decimal place$)$:

For forecasts made using a $3-$year moving average, MAD $=4$ surgeries $($round your response to one decimal place$).$

c$)$ Forecasts for years $1$ through $6$ using the trend$-$projection method are $($round your responses to one decimal place$)$: