Problem $4\mathrm{.}2$: The data below represents the increasing demand for Zoom technology over the last $10$ Years. Please use this data to calculate the demand for Zoom in period $11.$ Because the demand is increasing so quickly a large alpha and beta are chosen to obtain the best possible results. The $\backslash (\backslash$alpha$=0\mathrm{.}8\backslash )($for exponential smoothing$)$ and the $\backslash (\backslash$beta$=0\mathrm{.}7\backslash )($for the trend$).$ Please answer the following questions:

$9)$ Please write the three FIT formulas below, then compute FIT forecasts and MAD for periods $5$ through $11.$

$10)$ Please write the formula for Slope, Intercept and Y$.$ Then compute Trend Forecast and MAD for periods $5$ through $11.$

$11)$ Determine the best forecast and explain why this is the best forecast.