G10 Modelling Summative

Introduction

Starbucks Corporation is an American coffee company and coffeehouse chain. Starbucks was founded in Seattle, Washington in 1971. The table below gives the number of Starbucks stores in the US from 1992 to 2007.

Modelling App

Question 1

Discuss and determine the model that you think best represents this data set. Explain comprehensively you computed model and justification for selecting the model.

Question 2

In 2016 Starbucks had 23 768 stores. Comment on your model and how well it fares against the actual number of stores.

McDonald's

McDonald's is an American hamburger and fast food restaurant chain. It was founded in 1940 as a barbecue restaurant operated by Richard and Maurice McDonald. Today it is the world's second largest food chain serving 68 million customers daily. The table below shows the number of stores operated by McDonald's from 1994 to 2015.

Question 3

Determine a suitable model for this relationship. Clearly give the function and explain the variables used in it.

Question 4

Use your models to predict the numbers of stores that both McDonald's and Starbucks will own in 2020. Either show your working with your answers below, or on the app above.

Question 5

Is there a possibility for both companies to have the same number of stores in a certain year? If so in which year will this be?

Question 6

Write down your observations regarding the rates of growth of the two companies.

Question 7

Justify the accuracy of your predictions and comment on the limitations of your model.