Stat 539, 2006: Homework 3 due February 14.

  The data below are the average wine consumption rates (liters per person)
  and the number of ischemic heart disease deaths (per 1,000 men aged
  55 to 64 years old) for 18 industrialized countries.

               Country     Wine Consumption     Heart Disease Mortality
              ----------------------------------------------------------

                 Norway           2.8                    6.2
                 Scotland         3.2                    9.0
                 England          3.2                    7.1
                 Ireland          3.4                    6.8
                 Finland          4.3                   10.2
                 Canada           4.9                    7.8
                 United States    5.1                    9.3
                 Netherlands      5.2                    5.9
                 New Zealand      5.9                    8.9
                 Denmark          5.9                    5.5
                 Sweden           6.6                    7.1
                 Australia        8.3                    9.1
                 Belgium         12.6                    5.1
                 Germany         15.1                    
                 Austria         25.1                    4.7
                 Switzerland     33.1                    3.1
                 Italy           75.9                    3.2
                 France          75.9                    2.1

   The questions of interest here are whether the data suggest that the
   heart disease death rate is associated with the average wine consumption,
   and if so, then how can that relationship be described?

   Germany has a missing mortality value. Calculate a prediction interval 
   for that value.

   Write a brief report including a summary of statistical findings,
   graphical displays, and a section dealing with the methods used to answer
   the questions of interest.   

   REMARK:

      This problem is somewhat open-ended, but is easily formulated
    as a regression (and correlation) problem, where you are interested in
    whether the heart disease mortality changes with wine consumption
    and if so, then how. You might consider the following steps in an
    analysis: (1) plot the data, (2) consider transforming the data to a
    scale where the relationship is roughly linear (3) if a transformation is
    suggested, do the statistical analysis on the transformed scale, else
    do the analysis on the given data.  (4) check assumptions, (5)
    summarize your findings.