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

Purity %	93.3	92	92.4	91.7	94	94.6	93.6	93.1	93.2	92.9	92.2	91.3
ppm	1.1	1.45	1.36	0.59	1.08	0.75	1.2	0.99	0.83	1.22	1.47	1.81

a) Write an abstract (a summary of one or two paragraph(s)). The summary should contain the following; what was the aim of the study, the fit of the model and its significance at 5% level, the significance of the regressor at 5% level, correlation and coefficient of determination, and among other options, can the plant opt the model y=βX+€(no intercept) to describe the relationship between the two variables? Why?

b) Draw the scatter plot with its fitted line and give descriptive info based on the plot