STAT 704 Fall 2008
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Homework 8
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PART 1:
Do the following problems from the textbook:

14.2, 14.4, 14.7, 14.15, 14.33(a), 14.13, 14.19(b), 14.40, 14.46

PART 2:

Problem 1:

The "Masters Golfers" data set on the course web page contains data 
for 60 golfers from the 2007 Masters Tournament in Augusta, GA.  The first variable
is the golfer's name, the second variable is his number of birdies for the tournament,
the third variable his driving distance (how far he typically hit the ball) and the last
variable is his driving accuracy (how accurately he typically hit the ball).
(Note that a lot of birdies is good in golf!)

(a) Fit a Poisson regression model relating number of birdies to driving accuracy.
Is driving accuracy a significant predictor in this model, at the 0.05 level?

(b) Fit a Poisson regression model relating number of birdies to driving distance.
State the estimated regression function.  Is driving distance a significant 
predictor in this model, at the 0.05 level?

(c)  Interpret the estimate b_1 from part (b) in the context of this problem.

(d) In the model with driving distance as the predictor, note that the last 
observation (#60) has the largest absolute deviance residual.  

What is the value of his deviance residual?  What does this tell you about this 
golfer concerning his number of birdies and driving distance?

Bonus:  What is particularly notable about golfer #60 in the context of this data set?

NOTE:  For 14.7(b), just do a scatter plot of the data and the fitted logistic 
response function.  Don't do the "lowess smooth".

NOTE:  For the Poisson regression problem, if you analyze these data in SAS 
you should technically put $17. after the NAME variable in the INPUT statement so SAS
will correctly read in it as a character variable.  It won't mess up your 
analysis for this problem if you don't do this, though.

The "Annual Dues", "Car Purchase", "Masters Golfers"
data can be found on 
the course web page.

Please write your answers neatly and clearly!