$5.$ Dr$.$ Christopher also keeps a record of the service time in the past $16$ weeks $($Table $2)$ and wants to plan in advance for future service. What will be the forecast for the service time for week $17$ if Dr$.$ Christopher only considers time as a factor? Using three weeks simple moving average and single exponential smoothing $(\backslash$alpha $=0\mathrm{.}2)(10$pt$).$ Comparing simple moving averages with single exponential smoothing, which method provides Dr$.$ Christopher a better idea of service time. Please provide an analysis to verify your answers $(10$pt$).$Table $2$ Orthopedic Surgeon Service Records

Week Average Costs$/$hour $($$$)$ Service Time $($minutes$)$

$11002290$

$21202120$

$31602390$

$41402225$

$51202340$

$61502470$

$72002440$

$81602450$

$91502650$

$101802510$

$111702370$

$121302190$

$131502360$

$141602420$

$151802370$

$161502740$