It is of interest to study the effect 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:(a) Fit the linear regression model relating ozone concentration to population. Test Ho: 0 = 0 using the ANOVA approaches.(b) Do a test for lack of fit. 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 eachtest.

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Ozone (ppb/hour), r 126 Population, x 0.6 135 4.9 0.2 0.5 11 0.1 1.1 2.3 0.6 124 128 130 128 126 128 128 2.3 129