December 5, 2013
Here is your Final Exam:
1. Analyze the exam data posted Dec 1st, Exam #3 Results and complete the following.
- Use graphs to illustrate and characterize the relationships among exam scores.
- Calculate score averages and generate descriptive statistics for average scores.
- What is the probability that a randomly selected student has an average of 85% or higher?
- Produce a point estimate for the mean Final Exam score with a 95% confidence interval.
- Build a regression model to predict Final Exam scores and produce estimates.
2. Analyze historical monthly stock market prices for the S&P 500 Index (data download: sp500history-monthly) to answer the following.
- What is the relationship, if any, between trading volume and stock prices?
- Which decade was more volatile (higher stock price variability) – the 1990s or the 2000s?
3. Analyze the Monthly House Price Index data (data download: MonthlyIndex_Jan1991_to_Latest) to answer the following.
- Which region of the country has seen the highest increase in home prices?
- Which region of the country has had the most price variability?
- Which two regions are most closely correlated?
- Which region of the country is most closely correlated with the entire USA?
4. Use data from problems #2 and #3 to answer the following.
- What is the relationship, if any, between housing prices and stock market prices?
- Can housing prices help predict stock market prices?
- Can stock market prices help predict housing prices?
- What is the difference between “correlation” and “causation” and how does it apply to this question?
- How would you go about producing a similar (yet simpler and easier to understand) type of model to predict the outcome of the 2014 Colorado Gubernatorial Election?
- Be specific about data you might gather, statistical techniques you think would be useful and how you would report your predictions to the public.