State whether the data appears to be changing linearly or exponentially, and give a reason

Growth Models Discussion, Linear or Exponential Analysis Search the Internet to find a graph or table of values that shows how something is changing over time. The data should be real measured data (not some made-up values for a math problem example or something), and should show something that is changing linear or exponentially. The […]

Write the characteristic equation associated to this ODE and find the solution(s) to that equation.

Differential Equations Problem Consider a general linear equation: dy dx + P (x)y = Q(x) i) Write it in the form M (x, y)dx+N (x, y)dy by taking Q(x) to the LHS and then multiplying the ODE by dx. ii) Use the above form to check when it will be exact. iii) In general, find […]

Explain in general terms how the addition of another explanatory variable would affect the ANOVA table.

Describe the set of assumptions underlying the mathematical regression model in terms of the error term. Explain why the above assumptions are necessary. Explain what is meant by the residual standard error, how it is calculated, and why it is a useful measure. Explain, using a graph, what it means if in the 2-variable regression […]

Describe the “system of concern” including a description of the system boundary.

• Describe the issue and the “system of concern”: • Describe the “system of concern” including a description of the system boundary. Feel free to use diagrams here as well. Chapter 1 is relevant, but also our discussion in class of the role of system boundaries. • Bring in other systems thinking ideas, themes, tools […]