Question: Consider the oxygen plant data in Problem and assume that purity and hydrocarbon percentage are jointly normally distributed random variables.
a. What is the correlation between oxygen purity and hydrocarbon percentage? effects, in this case the3NQUcE9O
b. Test the hypothesis that ρ = 0.
c. Construct a 95% CI for ρ.
Problem: The purity of oxygen produced by a fractional distillation process is thought to be related to the percentage of hydrocarbons in the main condensor of the processing unit. Twenty samples are shown below.
a. Fit a simple linear regression model to the data.
b. Test the hypothesis H0 : β1 = 0.
c. Calculate R2.
d. Find a 95% CI on the slope.
e. Find a 95% CI on the mean purity when the hydrocarbon percentage is 1.00.
