The table below shows the profit of a company that opens up several new stores in different areas. # of Stores
2
3
5
7
8
10
12
14
15
Profit (million)
47
58
82
115
135
172
180
205
225

a) Explain why linear regression would be a reasonable method to model this situation. (2 points)
(You can either use verbal reasoning or attach a screenshot of the points plotted on Desmos with a short description)

b) Find a regression equation for this situation. (3 points)

c) Use your model to predict the profit that the company can make when it opens 20 stores.
(3 points)

d) How many stores does the company have to open in order to make a profit of 400 million?