Annabelle plans to open a restaurant in town. At this moment, she is deciding on the location and the seating capacity. She collected data on several local restaurants to help her make these decisions. The data contains, for each restaurant, the average weekly profit (in $1,000), the seating capacity, and the average daily traffic (in thousands of cars) that passes the location.

Seating capacity	Traffic count	Weekly profit
x_1	x_2	y
120	19	23.8
200	8	24.2
150	12	22
180	15	26.2
240	16	33.5
80	11	16
95	9	13
130	14	24

Questions:

1. Run a linear regression to describe the relationships among the variables.
2. Annabelle has two candidate choices of restaurant described below. Based on the regression model in part a), estimate the weekly profit if either of the following is chosen.

Option	Seating capacity	Traffic count
	x_1	x_2
A	220	13
B	145	18