The amount of catalyst (x) and the yield (y) of a chemical experiment are analyzed using a simple linear regression model. There are 30 observations (xi,yl), and it is found that the fitted model is
y = 51.98 + 3.44x
Suppose that the sum of squared residuals is
∑30i=1 e2i = 329.77, and that ∑30i=1 xi = 603.36, ∑30i=1 x2i = 12578.22. If an additional experiment is planned with a catalyst level 22, give a range of values with 95% confidence for the yield that you think will be obtained for that experiment.