B ninety-five percent prediction intervals for y are shown

Question

An article published in Geography (July 1980) used multiple regression to predict annual rainfall levels in California. Data on the average annual precipitation (y), altitude (x₁), latitude (x₂), and distance from the Pacific coast (x₃) for 30 meteorological stations scattered throughout California are listed in the table on page 597. Initially, the first-order model   was fit to the data. The SAS printout of the analysis is provided on page 596.

a. Is there evidence that the first-order model is useful for predicting annual precipitation y? Test using α = .05

b. Ninety-five percent prediction intervals for y are shown at the bottom of the printout. Locate and interpret the interval for the Giant Forest meteorological station (station #9).