Reference no: EM133905942

Question

1. What are the four components of a time series: trend, cycle, seasonal, and irregular? Trend: This refers to the general direction in which the data is moving over an extended period, such as an increase or decrease in sales. Cycle: These are larger fluctuations that occur over several years, often linked to economic or business cycles. Seasonal: These are consistent patterns that recur at specific times, like spikes in holiday sales each year. Irregular: These are unpredictable events that lead to sudden changes, such as a storm or a one-off sale.

2. When should you opt for an additive model instead of a multiplicative model? Choose an additive model when the seasonal fluctuations remain relatively constant regardless of whether sales are low or high. Select a multiplicative model when the seasonal variations increase in magnitude as sales rise - for instance, larger swings during peak years.

3. When examining the sales chart, do you observe a trend? If so, what type? Indeed, there is a distinct upward trend in sales over time. It's not a linear progression but accelerates as time progresses - this is referred to as an exponential trend. Sales were initially slow but surged after 2017, continuing to grow rapidly.

4. What predictions can you make about the store's sales in the upcoming years? If the current trajectory continues, sales are likely to keep increasing rapidly for some time. Write a response in paragraph form to this classmates post.