Problem $4$:

Using the data below:

Period Sales

$1$

$201$

$2$

$213$

$3$

$210$

$4$

$222$

$5$

$234$

$6$

$246$

a$)$ Find the forecast for period $7$ based on a three$-$period moving average. b$)$ Find the forecast for period $7$ based on a five$-$period moving average.

c$)$ Find the forecast for period $2$ using the na$$ve method.

d$)$ Find the forecast for period $7$ based on a four$-$period weighted moving average using the following weights:

$1$ period prior

$0\mathrm{.}4$

$2$ periods prior

$0\mathrm{.}3$

$3$ periods prior

$0\mathrm{.}2$

$4$ periods prior

$0\mathrm{.}1$

e$)$ Find the forecast for period $7$ based on exponential smoothing with alpha $=0\mathrm{.}6$ and assuming that the forecast for period $5$ was $222.$

Problem $5$:

Given the following data, find the seasonal relatives for all four quarters.

Period

Sales

Q$12024$

$668$

Q$22024$

$712$

Q$32024$

$648$

Q$42024$

$1089$

Q$12025$

$686$

Q$22025$

$806$

Q$32025$

$809$

Q$42025$

$1080$