QUESTION $2$

$(50$ marks$)$

The introduction and commercialisation of online ordering and delivery services in the fast$-$food industry has had a major effect on how fast$-$food restaurants approach their inventory management. In the past, ensuring that enough inventory is kept in order to meet customer demand was relatively straight forward and based on the foot traffic inside the fast$-$food business. Online ordering has complicated inventory management because at any given time, one or multiple orders can be placed via online platforms.

The owner of Luciano's Pizza has approached you to help her with her forecasting problems to ensure that in future she interprets the data captured correctly and forecasts as accurately as possible, the inventory she should procure and keep on hand.

The following is the data the owner of Luciano's Pizza has captured on orders placed over the last two weeks:

$\backslash$table$[[$Number of days,Day of the Week,Number of orders placed$],[1,$Monday,$5],[2,$Tuesday,$8],[3,$Wednesday,$6],[4,$Thursday,$8],[5,$Friday,$15],[6,$Saturday,$14],[7,$Sunday,$10],[8,$Monday,$14],[9,$Tuesday,$17],[10,$Wednesday,$15],[11,$Thursday,$18],[12,$Friday,$22],[13,$Saturday,$20],[14,$Sunday,$18]]$

$2\mathrm{.}1.$ Draw a line graph using the given data to illustrate to the owner of Luciano's Pizza the number of orders per day over the two weeks. Clearly label the line graph.

$(30)$

$2\mathrm{.}2$ List the four basic patterns present in time series data and their alternative name where applicable.

$2\mathrm{.}3$ Identify and explain the pattern which is shown in your question $2\mathrm{.}1$ answer.

$(8)$