Forecasts based on averages. Given the following data:

Period

Number of

Complaints

$160$

$265$

$355$

$458$

$564$

Prepare a forecast for period $6$ using each of these approaches:

a$.$ The appropriate naive approach.

b$.$ A three$-$period moving average.

c$.$ A weighted average using weights of $\mathrm{.}50($most recent$),\mathrm{.}30,$ and $\mathrm{.}20.$

d$.$ Exponential smoothing with a smoothing constant of $\mathrm{.}40$