Answer the following questions using the data from chapter 5 #8 - bookdata("ch05q08.txt").

1.   Using the untransformed variables SAL and CGPA, 
  a. Create an ANOVA table that partitions SSE into SS.LackOfFit and SS.PureError.
     Show show SS, df, and MS for each component, along the the regression contribution.
  b. Conduct a Lack of Fit test. Show your F statistic, critical value, and state a 
     conclusion at the alpha=.01 level. 

2.   Using the SAL^4 transformation suggested by Tukey's Rule of the Bulge, 
  a. Repeat part (a) above using the transformed y-variable,
  b. Repeat part (b) above using the transformed y-variable,
  
  c. Determine the p-value for the lack of fit test. Has the transformation taken care of 
     the lack of fit problem?