I can NOT use software to do this- all must be done by hand! Every Step- No mini

Question

I can NOT use software to do this- all must be done by hand! Every Step- No mini lab/stat graphics/excel nothing! purity = y pollution count =x alpha = 0.05

I can NOT use software to do this- all must be done by hand! Every Step- No mini lab/stat graphics/excel nothing!

purity = y

pollution count =x

alpha = 0.05

I can NOT use software to do this- all must be done by hand! Every Step- No mini lab/stat graphics/excel nothing!

purity = y

pollution count =x

alpha = 0.05

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 "pollution count" in parts per mil lion (ppm). A sample of plant operating data is shown below: Purity 93.3 92.0 92.4 91.7 94.0 94.6 93.6 Pollution count (ppm) 1.10 1.45 1.36 1.59 1.08 0.75 1.20 Purity 93.1 93.2 92.9 92.2 91.3 90.1 91.6 91.9 Pollution count 0.99 0.83 1.22 1.47 1.81 2.03 1.75 1.68 (a) Fit a linear regression model to the data. (b) Test for significance of regression. (c) Find a 95 percent confidence interval on B1.

Explanation / Answer

Data:

We can use scientific calculator to compute beta0 & beta1 else compute as follows:

(a)

(b) Build ANOVA table to test for significance of regression

Rgerssion is significant using F-table at 5% level.

Purity Pollution_count Purity_pred 93.3 1.1 93.264 92 1.45 92.248 92.4 1.36 92.509 91.7 1.59 91.842 94 1.08 93.322 94.6 0.75 94.279 93.6 1.2 92.973 93.1 0.99 93.583 93.2 0.83 94.047 92.9 1.22 92.915 92.2 1.47 92.190 91.3 1.81 91.204 90.1 2.03 90.566 91.6 1.75 91.378 91.9 1.68 91.581 92.52667 1.354

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