Stat 2000, Section 002, Homework Assignment 7 (Due 10/22/2001 11:59pm)
- 0) Reading: CyberStats Unit A-8 -- Correlation Describing Bivariate Data
- 1) Please work on the following CyberStats exercises:
- Unit A-8 -- Correlation Describing Bivariate Data, Exercises 1.1 - 1.7,
2.17 - 2.19, 2.28 - 2.30
(1 Point each)
- 2) Using WebStat which is accessible at
http://www.stat.sc.edu/webstat/
(or DataTools within CyberStats), draw a scatterplot
of the `Cost of Victories' data accessible at
http://www.math.usu.edu/~symanzik/teaching/2001_stat2000_2/victories.dat .
Let the Payroll be the explanatory variable and the Wins be the response
variable. Also determine the correlation coefficient for these 2 variables
and provide an interpretation of your result (note that the correlation
coefficient is accessible via the `Simple Linear Regression'
feature within WebStat). In particular, based on the
discussion in Unit A-8, comment whether the correlation coefficient
is meaningful.
(5 Points)
- 3) These questions
are based on the scatterplot matrix presented in
Mark Monmonier's article `Geographic Brushing:
Enhancing Exploratory Analysis of the Scatterplot Matrix'.
This scatterplot matrix has been reprinted below.
(5 Points)
- Label the (individual) scatterplot that shows
the `Cable Penetration' on the vertical (y-)axis
and the `Per Capita Income' on the horizontal
(x-)axis with the letter `A'.
- What is the range R of the `Per Capita Income' (in $)?
- Which of these statements is correct/incorrect?
- The state with the highest `Per Capita Income' has a
`Metropolitan Population' of less than 50%.
- The state with the highest `Per Capita Income'
has the second highest `Cable Penetration'.
- The 6 New England states have `Cable Penetrations' that
range among the 15 lowest rates of cable penetration in the U.S.
- California is the state with the highest `Per Capita Income'.
- 4) Answer the two questions below. (2 Points)