assignment 1

Each year, the Federal Trade Commission tests the tar and nicotine content of various brands of cigarettes in the United States.  Data for a sample of eight brands is collected, and we would like to conduct a hypothesis test at the 5% level of significance to determine whether the tar content of cigarettes can be predicted by their nicotine content.  All measurements are in milligrams.  The data are analyzed using an analysis of variance, and the ANOVA table (with some values missing) is shown below:  

Source of Variation	df	Sum of Squares	Mean Squares	F
Regression			59.04
Error
Total		69.90

(a)  Fill in all of the missing values in the table. (b)  What is the estimate of the parameter  in the simple linear regression model?   =     (Round your answer to  two  decimal places.) (c)  What proportion of the variation in Tar Content can be accounted for by its regression on Nicotine Content?      (Round your answer to  two  decimal places.) (d)  We conduct a hypothesis test of H0:  vs. Ha:  to determine whether there exists a linear relationship between Nicotine Content and Tar Content.  The P-value of the appropriate test of significance is between    and   . (e)  If we used the critical value method to conduct the test, the decision rule would be to reject H0 if