Data between $1991$ and $1996$ is provided.

Also provided is the trend analysis output for a time series recording yearly median US Home Price $($$$1,000)$ from $1990$ to $2018.$ Assume t$=0$ for the year $1990.$

Which gives the best forecast $($smaller absolute forecasting error$)$ of the $1996$ median US Home Price? The corresponding $3-$year moving average, $5-$year moving average, the trend analysis, or the Na$$ve forecasting method?

a$.$ What is the predicted value for the $3-$year moving average method? How about the absolute forecasting error? Show the work including the formula in detail.

b$.$ What is the predicted value for the $5-$year moving average method? How about the absolute forecasting error? Show the work including the formula in detail.

c$.$ What is the predicted value for trend analysis method? How about the absolute forecasting error? Show the work including the formula in detail.

d$.$ What is the predicted value for the Na$$ve forecasting method? How about the absolute forecasting error? Show the work including the formula in detail.

e$.$ Which method is the best? Why?