Written Summary: Modeling Real World Data

Recently you have learned how to use linear, quadratic, and exponential equations to model data. However, there are also other types of equations which can be used to model data; specifically, cubic regression (CubicReg), quartic regression (QuartReg), or power regression (PwrReg).

There are two parts of this assignment.

- Part 1: Learn about the three new types of regression.

- Part 2: Find the equation which best fits a real-world data set and summarize your findings. Choose from the linear, quadratic, exponential, cubic, quartic, and power regressions.

Since there are more than 10 different data sets which will be used as part of this assignment, each data set will have slightly different set questions which will need to be answered. Directions for Part 1 (learning about the new types of regression) and the general expectations for the written summary are outlined below.

Part 1: Please refer to the resources below to learn about cubic, quartic, and power regression.

- Cubic Regression: Read section 6.1 in the text book & do problems (1-8 odd; 9-16 all; 17-26 odd)

- Quartic Regression: http://calculator.maconstate.edu/quad_regression/index.html

- Power Regression: http://mathbits.com/mathbits/tisection/Statistics/ power.htm

Written Summary:

You written summary should include the following components.

1. An overview and background: What data set is analyzed? Who collected these data and how? Describe the data set - does the dependent variable increase or decrease over time? What factors (societal, economic, political, etc.) might explain the trend in the data? How is this data used or where do you see references to these data?
2. Analysis of the models: (Hint: Before doing the analysis, prioritize the models-decide which are more likely to model the data well and start with those). Include an explanation of what models were created and why. In this section include a table listing the equations of the models and the r-values, if appropriate. If you index the data set on a year, please make sure that information is mentioned in this section.
3. Discuss the predictions (i.e., answer the specific questions posed in the lab). If you have two (or more) models which appear appropriate, you can discuss the differences in the results using multiple models. Please make sure that you use appropriate units when discussing your results.
4. Conclusion. In this section, explain which model you believe best fits the data set. You may use your analysis from (2) and (3) as rationale for your choice.
5. Graph of the data and a "best-fit" equation.

Price: $23.49

Solution: The downloadable solution consists of 14 pages, 949 words and 6 charts.
Deliverable: Word Document