The purity of oxygen by a fractionation process is thought to be relaxed to the percentage of hydrocarbons in the main condenser of the processing unit. Twenty samples are shown below.
Purity(%)
Hydrocarbon(%)
86.91
1.02
96.73
1.46
89.85
1.11
99.42
1.55
90.28
1.43
98.66
86.34
96.07
92.58
1.01
93.65
1.40
87.33
0.95
87.31
1.15
86.29
95.00
91.86
0.87
96.85
0.99
95.61
85.20
89.86
90.56
0.98
a. Fit a simple linear regression model to the data.
b. Test the hypothesis H0:ß1=0
c. Calcutate R2.
d. Find a 95% confidence interval on the slope.
e. Find a 95% confidence interval on the mean purity when the hydrocarbon percentage is 1.00
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