To answer this question, use the data on bitcoin prices from the final exam's data file.

Use the data on Bitcoin prices for the first three quarters of $2017$ to answer the following questions $($assume the data points are daily, i$.$e$.,$ evenly spaced$)$:

a$.$ Using all the data, develop a $3-$period moving average to forecast the Bitcoin price on October $1.$ Report the October $1$ forecast, the MSE, and the MAPE.

b$.$ Using only data for the $1^{st}$ of each month $($again$,$ assume the data points are evenly spaced$),$ develop a $3-$period moving average to forecast the Bitcoin price on October $1.$ Report the October $1$ forecast, the MSE, and the MAPE.

c$.$ The actual October $1$ Bitcoin price was $$4,404\mathrm{.}30.$ How did each of your forecasts fare? Why is this the case?