The article "A Robust Optimization Approach for the Capacitated Vehicle Routing Problem With Demand Uncertainty" (I. Sungur, F. Ordonez, and M. Dessouky, IIE Transactions, 2008:509-523) discusses methods to reduce transportation costs while satisfying demands. In one study, the percent demand that is unmet (y) and the percent of vehicle capacity (x) needed to meet the expected demand were recorded for 27 different scenarios. The results are presented in the following table.

a. Compute the least-squares line for predicting unmet demand (y) from vehicle capacity (x).
b. Compute 95% confidence intervals for β0 and β1.
c. Predict the unmet demand when the vehicle capacity is 93%.
d. Find a 95% confidence interval for the mean unmet demand when the vehicle capacity is 93%.
e. Find a 95% prediction interval for the unmet demand for a scenario whose vehicle capacity is 93%.

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