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An experiment was performed on a certain metal to determine if the strength is a function of heating time. Partial results based on a sample of 10 metal sheets are given below. The simple linear regression equation is ŷ = 1 + 1X. The time is in minutes, the strength is measured in pounds per square inch, MSE = .5, Σx = 30, and Σx2 = 104. Determine the 95 percent prediction interval for the strength of a metal sheet when the average heating time is 2.5 minutes.
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