A plant distills liquid air to produce oxygen, nitrogen, and argon. The percentage of impurity in the oxygen is thought to be linearly related to the amount of impurities in the air as measured by the €œpollution count€ in parts per million (ppm). A sample of plant operating data is shown below:

(a) Fit a linear regression model to the data.
(b) Test for significance of regression. H0: 1 0 versus H1 : 1 0
(c) Find a 95% confidence interval on .

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Purity (%) Pollution count (ppm) Panty(%) 93.1 93.2 92.9 922 91.3 g0.1 91.6 91.9 Pollution count (ppm) 099 0.83 1.22 147 18 203 1.75 168 933 920 924 91.7 940 94.6 936 1.10 145 136 59 108 0.75 1.20