1. Suppose you were to collect data for each pair of variables. You want to make a scatterplot. For each of the information from a to d, which variable would you use as the explanatory (independent) variable and which as the response (dependent) variable? Why? What would you expect to see in the scatterplot? Discuss the likely direction and form.
a) T- shirts at a store: price each, number sold.
b) Real estate: house price, house size (square footage).
c) Employees: Salary, years of experience.
2. Solve this problem using the simplex method:
Max = z = 40x1 + 30x2
Constraints:
.4x1 + .5x2 <= 20
.2x2 <= 5 .6x1 +
.3x2 <= 21