Self test $16\mathrm{.}12$ There has been much publicity about bonuses paid to workers on Wall Street. Just how large are these bonuses? The file Bonuses contains the bonuses paid $($in $$000)$ from $2000$ to $2018.$

Source: Data extracted from J$.$ Spector, $$Wall Street bonuses rise $1\%$ to average $$138,210,$ USA Today, March $15,2017,$ and N$.$ Chiwaya, $$Wall Street bonuses declined $17$ percent in $2018...,$ NBC News, March $26,2019,$ available at nbcnews.to$/2$Tch$1$Z$9.$

Plot the data.

Compute a linear trend forecasting equation and plot the results.

Compute a quadratic trend forecasting equation and plot the results.

Compute an exponential trend forecasting equation and plot the results.

Using the forecasting equations in $($b$)$ through $($d$),$ what are your annual forecasts of the bonuses for $2019$ and $2020?$

How can you explain the differences in the three forecasts in $($e$)?$ What forecast do you think you should use? Why?