Consider the data in Example 11.2.2 on page 703. Suppose that we fit a simple linear regression

Question:

Consider the data in Example 11.2.2 on page 703. Suppose that we fit a simple linear regression of the natural logarithm of pressure on boiling point.
a. Find a 90 percent confidence interval (bounded interval) for the slope β1.
b. Test the null hypothesis H0: β1 = 0 versus H1: β1 ≠ 0 at level α0 = 0.1.
c. Find a 90 percent prediction interval for pressure (not logarithm of pressure) when the boiling point is 204.6.