It is of interest to study the eect of population size in

Chapter 11, Problem 11.40

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It is of interest to study the eect of population size in various cities in the United States on ozone concentrations. The data consist of the 1999 population in millions and the amount of ozone present per hour in ppb (parts per billion). The data are as follows. Ozone (ppb/hour), y Population, x 126 0.6 135 4.9 124 0.2 128 0.5 130 1.1 128 0.1 126 1.1 128 2.3 128 0.6 129 2.3 (a) Fit the linear regression model relating ozone concentration to population. Test H0: 1 = 0 using the ANOVA approach. (b) Do a test for lack of t. Is the linear model appropriate based on the results of your test? (c) Test the hypothesis of part (a) using the pure mean square error in the F-test. Do the results change? Comment on the advantage of each test.

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