7. Question 7 A country has a production function such that output equals 40 \sqrt{K}40K where K equals the amount of capital. If this country has 36 units of capital,…
5. Question 5 Imagine a situation in which there exist four possible outcomes: one with probability \frac{1}{6}61, one with probability \frac{1}{3}31, and two with probability \frac{1}{4}41. Calculate the diversity index….
4. Question 4 In our disease model (SIS), R_0R0 must be less than 1 in order to ensure that the disease will not spread throughout the population. In this model,…
3. Question 3 Imagine that a virus has an R_0R0 of 9. What is the minimum percentage of the population that should be vaccinated in order to prevent the spread…
2. Question 2 In a building with 70 residents, a rumor spreads through a diffusion process. At what point is the rate of diffusion greater: when 15 people have heard,…
1. Question 1 Which of the following might be explained by a tipping point? (Hint: pick more than 1 answer) 1 point Residential Segregation New home sales plummet by…
10. Question 10 In the previous question, we assumed that points scored in a soccer match was a linear function: Points Scored = 0.18(Passing)+0.25(Shooting)+0.12(Compatibility), with each variable measured on a…
9. Question 9 Larry has a multiple-variable equation that explains “points scored” in a soccer match as a linear function of passing skill, shooting skill and player compatibility. Each of…
8. Question 8 Let’s assume that temperature in the State of Michigan increases linearly between January and June. We’ll assign each day between January 1st and June 30th a number,…
7. Question 7 A student, Samuel, speculates that exam scores may be linearly related to hours spent studying. Samuel collects five data points, (X,Y), where X represents hours studied and…
